Answer:
29/49
Step-by-step explanation:
x:y = 3:4
let x = 3x , y = 5k
3x+4y/8x+5y
= 3(3k)+4(5k)/8(3k)+5(5k)
= 9k+20k/24k+25k
=29/49
x^2-8x+9
find x using the quadratic formula
Answer:
[tex]x = 4 \pm \sqrt7[/tex]
Step-by-step explanation:
Hello!
Standard form of a Quadratic: [tex]ax^2 + bx + c= 0[/tex]
Given the Equation: [tex]x^2 -8x+9=0[/tex]
a = 1b = -8c = 9Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\[/tex]
Solve by substituting the values into the Quadratic Formula.
Solve for x[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\[/tex][tex]x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(1)(9)}}{2(1)}\\[/tex][tex]x = \frac{8 \pm \sqrt{64 - 36}}{2}\\[/tex][tex]x = \frac{8 \pm \sqrt{28}}{2}\\[/tex][tex]x = \frac{8 \pm 2\sqrt{7}}{2}\\[/tex][tex]x = 4 \pm \sqrt7[/tex]The solution to the quadratic is [tex]x = 4 \pm \sqrt7[/tex].
What is the slope of the line that passes through the points (-2, 2) and (-4, -1)?
Write your answer in simplest form.
The slope of line through points (-2, 2) and (-4, -1) is 3/2 by using the slope-point formula that tells that change in y divided by change in x.
What is slope?A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
What is point?A point is a basic concept in classical Euclidean geometry that represents an exact location in space and has no length, width, or thickness. In contemporary mathematics, a point more broadly refers to a component of a set known as a space.
Here,
The points are (-2, 2) and (-4, -1)
m=(y2-y1)/(x2-x1)
m=Δy/Δx
m=(-1-2)/(-4+2)
m=3/2
By dividing the change in y by the change in x, the slope of the line passing through the points (-2, 2) and (-4, -1) is 3/2.
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What is the average of the expressions 2x+5, 5x-6, and -4x+2
Answer:
x+1/3
Step-by-step explanation:
Add the terms together (3x+1), then divide by how many terms there are (3), to get the average of the expressions
Find the surface area of the triangular prism Formula: SA= p * h + 2 * b
ANSWER:
139 square yards
STEP-BY-STEP EXPLANATION:
We have that the formula for the surface area of a triangular prism is the following:
[tex]A=p\cdot h+2b[/tex]Where p, is the perimeter is the base and h is the height, while b is the area of the base, we replace and calculate the area like this:
[tex]\begin{gathered} p=4+4+5=13 \\ A=13\cdot9.5+2\cdot7.75 \\ A=123.5+15.5 \\ A=139 \end{gathered}[/tex]The area is 139 square yards
Hi can somebody help me with this?
Answer:
Step-by-step explanation:
Evaluate the given expression.
10 C4 4C2
a.
1,260
C.
1,275
b.
1,278
d.
1,270
The value of an expression using combinations ¹⁰C₄ ⁴C₂ is 1260.
What is the combination?The combination is a mathematical method for counting the number of potential configurations in a set of elements when the order of the selection is irrelevant.The formula for finding the combination of any given expression is given:
ⁿCr =(n!)/(r!(n*r)!)So,
¹⁰C₄ ⁴C₂¹⁰C₄ = 10! /(4!(10-4)!)¹⁰C₄ = 10! /(4!)*6!¹⁰C₄ = (10*9*8*7*6*5*4*3*2*1)/(4*3*2*1*6*5*4*3*2*1)¹⁰C₄ = 210Then,
4C2 = 4! /(2!(4-2)!)4C2 = 4*3*2*1) /(2*1*2*1)4C2 = 6¹⁰C₄ ⁴C₂ = 210*6 ¹⁰C₄ ⁴C₂ =1260Therefore, the value of an expression using combinations ¹⁰C₄ ⁴C₂ is 1260.
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i need help 9% of 71 and 126% of 80
Answer:
6.39 and 100.8
Step-by-step explanation:
To find a certain percent of a number, convert the percent to a decimal and multiply them together
0.09 * 71 = 6.39
1.26 * 80 = 100.8
Two numbers have a sum of 35 and a product of 250. what are the numbers
Answer:
25 and 10
Step-by-step explanation:
because 25+10=35 and 25*10=250
In anatomy, a student learned that the average resting heart rate is between 60 and 100 beats per minute. The student decided to record the heart rate of people over five minutes while waiting in line at the pharmacy. The dot plot shows the results.
The correct option regarding the symmetry of the distribution is given as follows:
The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
How to find the symmetry of the distribution?To find the symmetry of the distribution, the mean and the median need to be calculated and compared, if they are equal or which is greater.
A dot plot shows the number of times that each observation appears in the data-set, hence the complete data-set of heart beats per minute is given as follows:
62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89.
The mean is the sum of all these observations divided by the number of observations, which is of 20, hence:
Mean = (62 + 3 x 68 + 69 + 2 x 70 + 3 x 72 + 2 x 75 + 76 + 2 x 78 + 3 x 80 + 2 x 89)/20 = 74.55.
The median is the middle value of the data-set, the value which 50% of the observations are less than and 50% are greater than. The cardinality of 20 in this data-set is an even number, hence the median is the mean of the 10th and of the 11th element, as follows:
Median = (72 + 75)/2 = 73.55.
When the mean is greater than the median, as is the case in this problem, the distribution is right skewed, which is the reason for the correct option.
Missing InformationThe problem is given by the image at the end of the answer.
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Find the possible outcomes for each event in rolling a number die. Then find the probability of each event as a fraction, decimal and percent.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating probability
[tex]P(event)=\frac{number\text{ of favorable outcomes}}{number\text{ of possible outcomes}}[/tex]STEP 2: State the number of possible outcomes
[tex]\begin{gathered} A\text{ die has 6 faces numbered 1,2,3,4,5,6} \\ Therefore,\text{ the number of possible outcomes will be 6} \end{gathered}[/tex]STEP 3: Answer question A
Rolling a number less than 7
[tex]\begin{gathered} Numbers\text{ less than 7}\Rightarrow6,5,4,3,2,1 \\ n(numbers\text{ less than 7\rparen}\Rightarrow6 \\ \\ By\text{ substituting the values into the formula in step 1,} \\ P(Rolling\text{ a number less than 7\rparen}\Rightarrow\frac{6}{6}=1 \\ \\ Percentage\Rightarrow\frac{1}{1}\times100=100\% \end{gathered}[/tex]Hence,
Possible outcomes are 6,5,4,3,2,1
Probability = 1
Probability = 1.0 as decimal
Probability = 100% as percentage
STEP 4: Answer Question B
Rolling an 8
[tex]\begin{gathered} Possible\text{ outcomes}\Rightarrow8 \\ n(8)\Rightarrow0 \\ Probability=\frac{0}{8}=0 \\ Percentage=0\times100\%=0\% \end{gathered}[/tex]Hence,
Possible outcome is 0 since there is no face of the die having 8
Probability = 0
Probability = 0.0 as decimal
Probability = 0% as percentage
STEP 5: Answer Question C
Rolling a number greater than 4
[tex]\begin{gathered} Possible\text{ Outcomes}\Rightarrow5,6 \\ n(Possible\text{ outcomes\rparen}\Rightarrow2 \\ Probability=\frac{2}{6}=\frac{1}{3}\approx0.333 \\ Percentage=\frac{1}{3}\times100=\frac{100}{3}=33.33\% \end{gathered}[/tex]Hence,
Possible outcomes are 5,6
Probability = 1/3
Probability = 0.333 as decimal
Probability = 33.33% as percentage
STEP 6: Answer Question D
Rolling a number other than 6
[tex]\begin{gathered} Possible\text{ outcomes}\Rightarrow1,2,3,4,5 \\ n(Possible\text{ outcomes\rparen}\Rightarrow5 \\ Probability=\frac{5}{6}=0.8333 \\ Percentage=\frac{5}{6}\times100=83.33\% \end{gathered}[/tex]Hence,
Possible outcomes are 1,2,3,4,5
Probability = 5/6
Probability = 0.8333 as decimal
Probability = 83.33% as percentage
Find 3 ratios that are equivalent to 6:15
Answer:12:30,2:5 and 18:45
Step-by-step explanation:
What is (30 x 10 to the power of 6) + (40 x 10 to the power of 5)
Answer: 7.3924E14
Step-by-step explanation:
Use the number line shown below. What is the location of Z between X and Y such that the length of ZY is 3 times the length of XZ.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
X = -5
Y = 4
Answer:
z is -2
Step-by-step explanation:
x = -5 y = 4
<----------------------------------------->
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Z is between x and y but is 3 times the lenght of x&z
so jumb from -5 to -3 thats one, however jumb from -2 to 0 that is 1, and form 0 to 2 that is 2, and from 2 to 4 that is 3.
Subtract.
−3−6−(−1) = ?
Answer:
-8
Step-by-step explanation:
-4, 0, -2/3, 4.11111…, 2, π, √6 which are integers?
Integer Numbers
It can be defined as the number that can be written without a fractional (decimal) component.
Integers can be positive, negative, or 0.
From the numbers on the list only -4, 0, and 2 are integers. The rest of the numbers cannot be written without a decimal component.
For example:
-2/3 = -0.666
π = 3.14
The square root of 6 is 2.45
4.111... has an evident decimal component.
Answer: -4, 0, and 2
if 1 cm is equivlent to 10km what is 50 cm equivlant to
Answer:
50cm is equivalent to 500km
Have a good one!
Simply this equation 2(x-7)=-4
Answer:
2x - 14 = -4
that is the equation simplified
Simplify 6c -2d+9d+10c
Answer:
16c+7d
Step-by-step explanation:
A box is to be made out of a
rectangular piece of cardboard that is 12 inches wide and 16 inches long. Squares x inches on a side are cut out of the corners and the sides are bent upwards.
What is the length of the box?
Length of the resulting box will be of (16-x) inches
How to make a cuboid from a rectangle?A rectangle can be made into a cuboid by cutting squares of equal length from each corners and then joining the edges.
Given, length of cardboard= 16inches
Width of cardboard= 12 inches
If squares of side x is cut out of the corners and the sides are bent upwards to make a box,
The dimensions of the resulting box will be,
Length= (16-x) inches
Width= (12-x) inches
Height= x inches
Therefore the length of the resulting box will be of (16-x) inches.
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HELP!! also please do not give me the answer i just need help knowing how to solve this! :)
Using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving multiple operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).So, the piece of wood which will have the least amount of unused wood:
The piece of wood Tomas will cut is √11.We know that √11 is 3.313.31 is more than 3 and less than 4.
3 < 3.31 < 4So, wooden pieces of 4 feet will have the least unused wood.
Therefore, using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
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the slop of (6,2) and (24,8)
Answer:
1/3
in decimal its 0.333333
Step-by-step explanation:
I did it before
Find the measures of angle B (questions 1-6)
Answer:
1)
b = 42° (corresponding angles, parallel lines)
2)
b + 31 + 90 = 180 (sum of angles on a straight line=180)
b = 59°
3)
b + 34 = 180 (sum of angles on a straight line=180)
b = 146°
4)
b + 30 + 90 = 180 (sum of angles on a straight line=180)
b = 60°
5)
b + 35 + 90 = 180 (sum of angles on a straight line=180)
b = 55°
6)
b = 58° (alternate angles, parallel lines)
PLS HELP ALL THIS IS DUE TOMORROW AND I HAVE NO TIME ! ( the red box is the stuff I need answers for )
Answer:
The answers are all below.
Step-by-step explanation:
7. Yes
Plug 10 in for t
10-3 ≥ 2
7 ≥ 2
8. No
Plug 1 in for w
6(1) < -2
6 < -2 (Nope)
9. Yes
Plug 5 in for p
5 + 1.6 ≤ 4
6.6 ≤ 4
10. Yes
Plug 0 in for d
[tex]\frac{1}{2}[/tex](0) > -3
0 > -3
11.
1(------------------>k
12.
n<------------------]2.5
13.
In order to try out for one of the parts in a play at the local theater, you must be at most 12 years old. Write an inequality that represents this situation.
x≤12
x<-----------------]12
14. Yes
Plug 2 in for h
3(2) - 7 < 2
Simplify
6 - 7 < 2
-1 < 2
15. No
Plug -12 in for q
-12 + 8 ≥ [tex]\frac{-12}{4}[/tex]
Simplify
-4 ≥ -3 (Nope)
16.
a. Yes
Plug 0 in for x
-2(0) < 10
and
-6 < -2(0)
Simplify
0 < 10
and
-6 < 0
b. No
Plug 4 in for x
-2(4) < 10
and
-6 < -2(4)
Simplify
-8 < 10
-6 < -8 (Nope)
c. -1
Plug -1 in for x
-2(-1) < 10
and
-6 < -2(-1)
Simplify
2 < 10
and
-6 < 2
help please i need it
7. Find the area of the figure. 112 cm2 384 cm2 88 cm2
88cm² is the area of the trapezoid in the diagram.
This question is incomplete, the missing diagram is uploaded along the answer below below.
What is the area of the trapezoid?A trapezoid is simply a quadrilateral with at least one pair of parallel sides.
The area of a trapezoid is expressed as;
A = 1/2 × ( a + b ) × h
Where a is length of base a, b is length of base b and h is the height.
Given the data in the diagram;
Length of base a = 8cmLength of base b = ( a + 6cm ) = 8cm + 6cm = 14cmHeight h = 8cmArea A = ?To determine the area of the trapezoid, plug the given lengths into the above formula and solve for A.
A = 1/2 × ( a + b ) × h
A = 1/2 × ( 8cm + 14cm ) × 8cm
A = ( 8cm + 14cm ) × 1/2 × 8cm
A = ( 22cm ) × 4cm
A = 88cm²
Therefore, the area is 88 square centimeters.
Option C is the correct answer.
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Sarah is 148 centimeters tall. How tall is Sarah in inches? Round to
the nearest tenth inch?
If Sarah is 148 centimeters tall. Sarah's height in inches is 58.27 inches
How to determine Sarah's height in inchesInformation given in the question include
Sarah is 148 centimeters tall
Round to the nearest tenth inch
Sarah's height in inches is is determined using conversion from centimeters to inches
centimeters = cm
inches = in
The unit conversion factor is given as
1 centimeter = 0.393701 inches
148 cm = ?
cross multiplying gives
? * 1 = 148 * 0.393701
? = 58.2677 in
? = 58.27 in ( to the nearest tenth of inch )
Therefore Sarah's height when converted form cm to inches is 58.27 in
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Answer:58.3 inches
Before rounding:58.2677
3|y|+(y-x²)
if x = -1 and y = -5
Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0
The general form of the equation: x2 + y2 − 41 = 0
The Correct option is (B).
Given,
A circle with center O (0,0) has point B (4,5) on its circumference
To find the what is the general form of the equation for the given circle centered at O(0, 0).
Now, According to the question:
How do you find the equation of a circle with center (0,0)?
x2 + y2 = r2 , and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2 .
The general form of the equation:
x2 + y2 − 41 = 0
Hence, The general form of the equation: x2 + y2 − 41 = 0
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A die is rolled and the spinner is spun. Find each probability.
Hello!
First, let's write the possible options:
Dice: 6 different results.
• 1, 2, , 4, 5, 6.
Spinner: 4 different results.
• A, B, C, D.
Knowing it, let's solve each alternative of your exercise:
a. 1 and AIn the dic, we have 6 possible results and we want a specific number. SOo, we can write it as 1/6.
In the spinner, we have 4 possible results and we want a specific one too. So, we have 1/4.
Now, remember he r"and" rule: when we consider two events happening simultaneously, we must multiply their probabilities.
Solving:
[tex]\frac{1}{6}\times\frac{1}{4}=\frac{1\times1}{6\times4}=\frac{1}{24}[/tex]b. odd score and B.We'll solve it in a similar way.
We have three possible odd numbers (1, 3, 5) in a total of 6 options. So, 3/6 = 1/2.
For the spinner, the reasoning will be the same: 1/.
Let's calculate:
[tex]\frac{1}{2}\times\frac{1}{4}=\frac{1\times1}{2\times4}=\frac{1}{8}[/tex]c. number less than 5 and a consonant.In a dice, we have four numbers less than 5: 1, 2, 3,4.
In the spinner, there are 3 consonants (B, C, D).
Let's calculate:
[tex]\frac{2}{3}\times\frac{3}{4}=\frac{2\times3}{3\times4}=\frac{6}{12}=\frac{1}{2}[/tex]
3. What is true for an image and a preimage in a reflection? (1 point)
The image is larger than the preimage.
The image is smaller than the preimage.
The image and the preimage have the same orientation.
The image and the preimage have different orientations.
Answer: The image and the preimage have the same orientation.
Answer:
The image and the preimage have the different orientation.
Step-by-step explanation:
i
took
the
test
