The value upto two decimal is 18.73.
What is Decimal?A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number.
Given digit 18.7347
to round off to two decimals
for rounding off we need to check the next digit of digit upto we round
the digit after 3 is 4 which is less than 5 then there is no change in digit,
so 18.73447 = 18.73
Hence the round 18.7347 is 18.73.
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The polygons are similar. x = ___ Write your answer as a decimal
The side MN have the value of x = 4, and for the side LM have the value x = 5 for the similar polygons ABCD and LMNP.
How to evaluate for the value of x for the sides of the polygonThe polygons ABCD and LMNP are similar so:
angle A is equal to angle L
angle B is equal to angle M
angle C is equal to angle N
angle D is equal to angle P
side MN = side BC
x + 6 = 10
x = 10 - 6 {subtract 6 from both sides}
x = 4
side LM = side AB
x + 9 = 14
x = 14 - 9 {subtract 9 from both sides}
x = 5
Therefore, the x = 4 for the side MN and x = 5 for the side LM for the similar polygons ABCD and LMNP.
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Suppose your parents are traveling on a work-related trip for a whole week. After providing the budget for all other expenses such as food, bills, emergencies. Etc. , they left you p10,000 as allowance for the week to be divided fairly among you and your two other siblings. How would you divide the money, assuming that the amounts should be in whole pesos and with no spare change? explain how you came up with your division in one sentence.
From P10,000 in full pesos and with no spare change, each person receives P4,000, P,3000, and P3,000, respectively.
$10,000 has been given in total as an allowance.
This idea came about due to the fact that the eldest and the youngest siblings are not meant to receive an equal amount of anything when it is shared among them.
3 individuals should share it.
2 younger siblings and 1 older sibling
Let
the younger sibling receives P4,000
Every younger sibling would receive P3,000
There is no residual in the overall allowance supplied; each person receives the full value of their pesos.
So, from a total of P10,000, each person receives P4,000, P,3000, and P3,000.
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Select all the equation that depict one of the properties of exponents select all that apply .
The equations that show the properties of the exponents are a, c and d.
What is the properties of the exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We know that there are few properties that are common to the numbers that appear in the exponential form. We shall look at some of those properties.
1) when we have
[tex](ab)^x[/tex], it is the same as [tex]a^x b^x[/tex]
2) When we have [tex]b^2 \times b^x[/tex], it is the same as b² + x
3) When we have; x^-2, it is the same as 1/x²
These are the basics of the properties of the exponents as we can conclude in the question and these obey the properties of the exponents.
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solve: 2x - 5√x + 2 = 0
Answer: 1/4 and 4
Step-by-step explanation:
Let √x = u
2u^2 - 5u + 2 = 0
Solve for u
(2u-1)(x-2)=0
u = 1/2 and 2
Since you want x, square u to cancel the square root.
(1/2)^2 = 1/4
(2)^2 = 4
Your answers are 1/4 and 4
To make a shade of paint called Jasper green mix 4 quarts of green paint with 2/3 cups of black paint how much green paint should be mixed with 4 cups of black paint to make Jasper green?
24 quarts of green paint should be mixed with 4 cups of black paint. This can be solved by using the concept of cross- multiplication.
What is cross - multiplication?Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.
Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.
Let's convert 4 quarts into cups.
1 quart = 4 cups
4 quarts = 16 cups
Here mix 16 cups of green paint with 2/3 cups of black paint.
Let's use the proportion
Green paint Black paint
16 2/3
x 4
16/x =2/3 divided by 4
Cross multiplying, we get
16 × 4 = (2/3) x
64 = (2/3) x
x = 64 ÷ (2/3)
x = 64 × (3/2)
x = 192/2
x = 96 cups
96 cups of green paint should be mixed with 4 cups of black paint.
We can covert 96 cups into quarts by dividing by 4
96/4 = 24 quarts
24 quarts of green paint should be mixed with 4 cups of black paint.
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For the linear function, y increases by a of 3 each time x increases by 1. For the exponential function, y increases by a(n) of 3.
For the exponential function, y increases by a factor of 3.
To determine this we take:
The linear equation is y = 3*x
when x = 1
y = 3*1 = 3
when x = 2
y = 3*2 = 6
Then as x increases by one unit, y increases by 3 units.
Then the correct statement would be something like:
"For the linear function, y increases by a sum of 3 each time x increases 1"
The exponential function is:
[tex]y = 3^x[/tex]
When x = 1
[tex]y = 3^1 = 3[/tex]
When x = 2
[tex]y = 3^2 = 3*3[/tex]
when x = 3
[tex]y = 3^3 = 3*3*3[/tex]
So when x increases by 1, we multiply the previous value of y by 3.
Then the correct sentence is something like:
"For the exponential function, y increases by a factor of 3".
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"For the linear function, y increases by a sum of 3 each time x increases 1"
"For the exponential function, y increases by a factor of 3".
Now, According to the question:
Let's Know:
What is Exponential Function?
An exponential function is a Mathematical function in the form f (x) = [tex]a^x[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
Now, For the linear function:
y = 3x
when x = 1
y = 3×1 = 3
when x = 2
y = 3×2 = 6
Then as x increases one unit, y increases 3 units.
"For the linear function, y increases by a sum of 3 each time x increases 1"
Now, For the exponential function:
[tex]y = 3^x[/tex]
When x = 1
[tex]y = 3^1[/tex] = 3
When x = 2
[tex]y = 3^2[/tex] = 3×3
when x = 3
[tex]y = 3^3[/tex] = 3×3×3
So when x increases by 1, we multiply the previous value of y by 3.
"For the exponential function, y increases by a factor of 3".
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Which sum represents the partial fraction decomposition of startfraction 8 x superscript 4 baseline + 3 x cubed minus 115 x squared minus 39 x + 200 over 3 x (x squared minus 10) squared endfraction?.
The given fraction can be rewritten as the sum of three smaller fractions. The first small fraction has a numerator of "8x² + 115" and a denominator of "3(x² - 10)". The second small fraction has a numerator of "3x^2 + 39" and a denominator of "3x(x² - 10)". The third small fraction has a numerator of "200" and a denominator of "3x(x² - 10)".
The given fraction can be rewritten as the sum of three smaller fractions.
The first small fraction is made up of a numerator that consists of the expression,
= 8x² + 115
divided by a denominator that consists of the expression,
= 3(x² - 10)
The second small fraction has a numerator of
= 3x² + 39
and a denominator of "3x(x² - 10)".
The third small fraction has a numerator of "200" and a denominator of = 3x(x² - 10)
When these three small fractions are added together, they equal the original fraction.
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Simplify the expression. Show your work.
x^2 + 3x - 28
____________
x^2 - 7x + 12
The simplified expression will be (x+7)/(x+3)
What are Quadratic Equations?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.
We shall simplify them individually;
x^2 +3x-28
x^2 + 7x - 4x - 28
x(x+7) - 4(x+7)
(x-4)(x+7)
x^2 - 7x+12
x^2 -4x -3x +12
x(x-4) - 3(x-4)
(x-3)(x-4)
Eliminating like terms, therefore;
(x-4)(x+7) / (x-4)(x+3) = (x+7) / (x+3)
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Consumable resources are used up as you build goods or deliver services in your business. If your business uses on average 6 ounces of milk in a shake and serves 86 shakes per day, how many gallons of milk do you need to order each week? (1 gallon = 128 ounces).
You would need to order 28.21 gallons of milk each week.
To determine how many gallons of milk your business needs to order each week, you need to first calculate the total number of ounces of milk your business uses in a day. To do this, you can multiply the number of ounces of milk used per shake by the number of shakes served per day:
6 ounces/shake * 86 shakes/day = 516 ounces/day
Next, you can divide the number of ounces of milk used per day by the number of ounces per gallon to determine the number of gallons of milk your business uses per day:
516 ounces/day / 128 ounces/gallon = 4.03 gallons/day
Finally, you can multiply the number of gallons of milk your business uses per day by the number of days in a week to determine the number of gallons you need to order each week:
4.03 gallons/day * 7 days/week = 28.21 gallons/week
So, you would need to order approximately 28.21 gallons of milk each week.
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28.21 gallons of milk you need to order each week.
The formula for calculating the amount of milk needed each week would be: (ounces of milk per shake) multiplied by (number of shakes served per day) multiplied by (number of days in the week).
For this example, the formula is:
6 ounces of milk per shake x 86 shakes per day x 7 days in the week = 3,492 ounces of milk per week.
To convert this number to gallons, we need to divide 3,492 ounces of milk by 128 ounces per gallon.
3,492 ounces of milk / 128 ounces per gallon = 28.21 gallons of milk per week.
Therefore, the answer to the question is to order 28.21 gallons of milk each week.
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What are the 3 triangle theorems?
Answer:
1. The sum of all the three interior angles of a triangle is 180 degrees.
2. The base angles of an isosceles triangle are congruent.
3. The measure of the exterior angle of a triangle is equal to the sum of the corresponding interior angles.
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n the 9th and 10th grades at Jefferson High School, there
re 236 students. Of those students, 121 are in 9th grade. Of
he 214 students who are right-handed, 103 of them are in
0th grade.
create the two-way frequency table for this scenario.
Drag each tile to the correct cell in the table.
Total
103
Incorrect.
Right-handed Left-handed
9th Grade
121
12
10
214
10th Grade
115
22
111
236
Help me!!!
The two way frequency table is:
9th Grade 10th Grade
Left handed 10 12
Right handed 111 103
What is frequency table ?A table created to display the distribution of a characteristic's frequency of occurrence in accordance with a specific set of class intervals.
To understand which alternatives appear more or less frequently in the dataset, frequency tables are useful. This is useful for better understanding each variable and determining whether or not variables need to be recoded.
Given:
Total Students= 236
Of those students, 121 are in 9th grade.
So, Number of left handed students in the 9th grade
= 121 - 111
= 10
and, Number of left handed students in the 10th grade
= 236 - (1- + 111 + 103)
= 12
and, Number of right handed students in the 9th grade
= 214 - 103
= 111
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are ratios 1/6 and 3/18 equivalent
If we multiply both numerator and denominator of the first ratio by 3, we will get the second ratio, thus, these are equivalent.
Are the two given ratios equivalent?For any ratio:
a/b
If we multiply both numerator and denominator by the same real number, we will get an equivalent ratio.
In this case, we can start with the smaller of the two ratios:
1/6.
Now we can multiply both numerator and denominator by 3, then we will get:
(3*1)/(3*6) = 3/18
So yes, the ratios 1/6 and 3/18 are equivalent.
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please help me i can't do it. The bees represent 4 times around the Earth to make 1 kg of honey. Knowing that the radius of the Earth measures 6,371 km, how many kilometers do the bees travel to obtain the 30 kg of honey produced in the hive?
According to the information, it can be inferred that the bees must travel a distance of 4,803,620.82 km to complete the 30 kg of honey that a hive produces.
How to calculate the distance that bees record to produce honey?To calculate the distance that bees register to produce honey we must perform the following operation.
1. Calculate how many kilometers are equal to the circumference of the earth with the following formula 2*pi*R. In this case we replace the R, by the radius of the earth and we will obtain the distance of the circumference of the earth.
[tex]2\pi r[/tex]
[tex]2\pi 6,371 km = 40,030.1736[/tex]
2. Once we have identified the circumference of the earth, we must multiply it by four to know how much distance the bee will recover to produce one kg of honey.
40,030.1736 * 4 = 160,120.694
3. Finally we must multiply the distance it takes to produce 1kg by 30 to find the distance it takes to produce 30kg of honey.
160,120,694 * 30 = 4,803,620.82
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In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
a. HI:EF
b. EF:AD
c. AD:AH
d. AH:HI
e. BC:HI
From the given circle image, we can say that the two lengths that must form the ratio of 1:2 is; d. AH:HI
How to find the ratio lengths?From the image attached, we are given that Point A is the center of the circle.
Let us access each of the options to find out which one of the two lengths must form a ratio of 1:2;
Option a. HI:EF
We see that both HI and EF are diameters of the circle. Thus, their ratio cannot be equal to 1:2.
Option b. EF:AD
We see that EF is the diameter while s the radius, we can say that;
Diameter = 2 × Radius
Thus;
EF : AD = 2:1
Option c: AD : AH
We see that both D and AH are radius and as such their ratio can never be 1:2.
Option d : AH:HI
We see that AH is the radius while HI is the diameter. Thus, their ratio will be; AH:HI = 1:2
Option e; BC:HI
We see that BC is a chord and we are not given its' length and so we can't ascertain if it forms a ratio of 1:2 with HI
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Write each expression in exponential form.
[tex] \frac{1}{ \sqrt[3]{\\ 2p} {}^{4} } [/tex]
Answer:
1/(2p4)1/3
Step-by-step explanation:
Question 2 (1 point)
The two rectangles are similar. Which is the correct proportion for corresponding sides?
Answer: 4/12 = 8/24
Step-by-step explanation:
okay so these are fractions so it’s like 4/12 or 8/24 because smaller over longer but you can also do longer over shorter the fractions have to equal each other so you could also do 12/4 = 24/8
What are the 4 types of rigid transformations?
The four types of rigid transformations are translation, rotation, reflection, and glide reflection.
Translation: A translation, also known as a slide, is a transformation that moves a figure in a certain direction and distance without changing its size or orientation.Rotation: A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation. The amount of rotation is measured in degrees.Reflection: A reflection is a transformation that flips a figure across a fixed line, known as the line of reflection. This results in a mirror image of the original figure.Glide Reflection: A glide reflection is a combination of a reflection across a line and a translation parallel to the line. In other words it is a sliding reflection.A rigid transformation, also known as an isometry or congruence transformation, is a type of transformation that preserves the distances and angles between the points in a figure. This means that a rigid transformation does not change the shape or size of a figure, but only its position and orientation in the coordinate plane.
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A store was having a Labor Day sale. It offered an extra 15% off before 8:00a.m. What fraction was taken off before 8:00a.m?
The fraction taken off before 8:00a.m was 15/100, or 15%.
What is fraction?Fraction is a numerical expression which represents a part of a whole or, more generally, any number of equal parts. It is represented by two numbers separated by a line, with the first number indicating the number of parts and the second number indicating how many parts make up the whole. Common fractions are examples of fractions, such as one-half (1/2), one-third (1/3), two-thirds (2/3), and three-quarters (3/4).
This means that all items in the store were discounted by 15% before 8:00a.m. on Labor Day. This was an attractive offer for shoppers who wanted to get the best deals and discounts available. Customers could take advantage of the discounted prices and save money on their purchases. The store's Labor Day sale provided great savings for customers who arrived before 8:00a.m. on the holiday.
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Three sisters receive money in the ratio of their ages.
Safia gets $18
Angelique is 6 years old and gets $9 Gabriella is 4 years old.
Work out how old Safia is.
Calculate how much money Gabriella gets.
The money got by Gabriella is obtained as $6.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Suppose the age of Safia and money got by Gabriella be x and y respectively.
Then, the table can be formed as below,
Name Age Money
Safia x $18
Angelique 6 $9
Gabriella 4 y
As per the question, the proportionality relation for the ratios can be written as,
x/6 = 18/9
⇒ x = 12
And, 6/4 = 9/y
⇒ y = 6
Hence, the required money got by Gabriella is given as $6.
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two polygons are similar if their corresponding sides are ________ and their corresponding angle measures are equal
Answer:
congruent
Step-by-step explanation:
two polygons are similar if their corresponding sides are congruent and their corresponding angle measures are equal
write the following numbers in scientific notation 8546
The following number 8546 can be written in scientific notation as: 8.546*10^3.
What is scientific notation?Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 ✕ 10^8 in scientific notation.
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.
We were given the value, 8546 by following the explanation above we have 8.546*10^3
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Which of the following ratios is not equivalent to 4/8
The only option that represents a fraction not equivalent to 4/8 is; C: 12/32
How to solve ratio problems?To get the ratio that is not equivalent to 4/8, we need to first of all reduce 4/8 to the barest minimum. Thus;
Let us divide both numerator and denominator by 4 to get;1/2
Let us access each of the options;
A) 1/2 is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8
B) 9/18;
Divide numerator and denominator by 9 to get 1/2 which is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8
C) 12/32;
Divide numerator and denominator by 4 to get 3/8 which is not the same as the simplified form of 4/8 as seen above and so it is not equivalent to 4/8
D) 18/36;
Divide numerator and denominator by 18 to get 1/2 which is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8.
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Complete question is;
Which of the following ratios is NOT equivalent to 4/8?
A) 1/2
B) 9/18
C) 12/32
D) 18/36
Simplify: -5m+15=25m-45
Answer:
The simplified version is m = -2
Step-by-step explanation:
To simplify this equation, we need to get all of the terms with m on one side of the equation and all of the constants on the other side.
First, we can add 45 to both sides of the equation to get:
-5m + 15 + 45 = 25m - 45 + 45
This simplifies to:
-5m + 60 = 25m
Next, we can subtract 25m from both sides of the equation to get:
-5m + 60 - 25m = 25m - 25m
This simplifies to:
-30m + 60 = 0
Finally, we can divide both sides of the equation by -30 to get:
(-30m + 60) / -30 = 0 / -30
This simplifies to:
m = -2
Thus, the simplified form of the equation is m = -2.
three chocolates remain in a a box of chocolates. one has cherry filling and the other two have nuts inside. you randomly pick a piece for yourself. then you pick a piece for your friend.
Find the number of possible outcomes in the sample space. list possible outcomes
The number of possible outcomes in the sample space is 3 and the list is {CN, NN, NC}.
What is a Sample Space?A sample space is the set of all possible outcomes in a random experiment. Sample space is usually denoted as S.
Given that, three chocolates remain in a a box of chocolates. one has cherry filling and the other two have nuts inside. you randomly pick a piece for yourself. then you pick a piece for your friend.
Let C be the cherry filled chocolate and N be the nut filled chocolate.
The possible outcomes if the first picked chocolate is not placed back are :
{CN, NN, NC}
The possible outcomes if the first picked chocolate is placed back are :
{CC, CN, NC, NN}
Hence the number of outcomes are 3 and the set is {CN, NN, NC}
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Mr.Marcus is splitting up a huge new pack of colored pencils equally among his 25 students. after splitting up the epincles he has 4 left if there were 429 clored pincles to being with how many did each student receive
Answer: 17.
Step-by-step explanation: 429 divided by 25 = 17.16 so rounding that would just be 17.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: 17
Step-by-step explanation:
Substitute 11 into m:
3 * 11 - (11 + 5)
= 33 - 16
= 17
Answer:
The answer is 17
Step-by-step explanation:
3(11)-(11+5)
33-16
=17
Which represent correct variations of the formula for speed? Check all that apply.
t =
s =
t =
s = dt
d = st
d =
The correct variations for the formula for speed, given the formulas , are :
s = d/ td = stWhat is the formula for speed ?The formula for speed shows how fast an object is going and it is based on the distance covered by the object, and the time it takes to cover this distance.
The formula for speed is therefore :
Speed = Distance / time
This can therefore be written in another variation of :
Speed = Distance / time
Distance = Speed x Time
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Answer:
the answer A, B, and E
Use the drop-down menus to continue the pattern and to describe a feature of the pattern. Part A Complete the pattern. 33, 41, Choose... , Choose... , Choose... , 73 Part B Complete the sentence. The numbers in the pattern Choose... .
1) The complete arithmetic sequence is; 33, 41, 49, 57, 65, 73
2) The formula for the nth term of the sequence is; aₙ = 33 + (n - 1)8
How to find the nth term of an arithmetic sequence?The general formula for the nth term of an arithmetic sequence is;
aₙ = a + (n - 1)d
where;
a is first term
d is common difference
n is position of term
We are given the sequence as;
33, 41, ____, ____, ____, 73
Using the arithmetic sequence of nth term, we can say that;
a₂ = 33 + (2 - 1)d
33 + d = 41
d = 8
Thus;
a₃ = 41 + 8
a₃ = 49
a₄ = 49 + 8
a₄ = 57
a₅ = 57 + 8
a₅ = 65
This gives the sequence as;
33, 41, 49, 57, 65, 73 with a formula for nth term; aₙ = 33 + (n - 1)8
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25
24
What is the fraction of the shaded faces on
this solid?
There are 25 birds in a cage. How many feet
are there in the cage?
Answer: 1/5 is shaded becaus e there are 5 sides the second one is 50
Step-by-step explanation:
Andy, Barry, and Craig are all in a pie-eating contest. Andy ate $\frac{4}{7}$ of his pie, Barry ate $\frac{7}{12}$ of his pie, and Craig ate $\frac{5}{8}$ of his pie. Afterward, their dog Fido ate all the remaining pie. How many more pies did Fido eat than the winner
Answer:Fido ate -723 more pies then the winner
Step-by-step explanation:
[tex]$47\\-$712= -665\\-665\\- 58= -723[/tex]
Hope this helps
