Answer: 1.6 kg
Step-by-step explanation:
Let the weight of bag B in kg be B.
Then, Bag A weights B+1.5 and bag C weighs B+0.5.
[tex]B+1.5+B+0.5+B=6.8\\\\3B+2=6.8\\ \\ 3B=4.8\\\\B=1.6[/tex]
Solve 7+y=5(2y-1)+3y. Y=
Answer: y = 1
Step-by-step explanation:
Given
7 + y = 5(2y - 1) + 3y ← distribute and simplify right side
7 + y = 10y - 5 + 3y
7 + y = 13y - 5 ( subtract y from both sides )
7 = 12y - 5 ( add 5 to both sides )
12 = 12y ( divide both sides by 12 )
1 = y
What is the slope of a line perpendicular to the line whose equation is x+6y=-24
Answer:
[tex]m[/tex]perpendicular = 6
Step-by-step explanation:
Hope this helps! :))
twelve hungry teenagers can devour a very large pizza in $20$ minutes. how many teenagers would it take to finish a very large pizza in $15$ minutes? (assume that all teenagers eat pizza at the same rate.)
It would take 9 Teenagers to finish a very large pizza in $15$ minutes.
From the knowlegde of Propotional method/ subject formular in mathematics;
From the questions:
12 Teens finished a very large pizza in $20$ minutes.
The number of teens to finish a very large pizza in $ 15 minutes would calculate thus,
12 Teens=$20$ minutes.
x Teens=$15$ minutes.
then we cross multiply:
x Teens × $20$ minutes =$15$ minutes × 12 Teens
making x Teens subject of the formula we have;
x Teens=$15$ minutes × 12 Teens/$20$ minutes
x Teens=9 Teens
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x^2+6x+? complete the square
Answer:
+ 9
Step-by-step explanation:
x²+ 6x
to complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 2(3)x + 3²
= x² + 6x + 9
= (x + 3)² ← a perfect square
Safiya travels at an average speed of 40 mph for 30 miles.
Without stopping, Safiya then travels 50 miles in 1.5 hours.
Find her average speed for the entire journey to 2 dp.
Pls help
Average speed is 35.56 mph.
Calculating average speed involves dividing the whole distance travelled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed during the course of a journey.
We have to find the average speed of the whole journey.
First we have to find total distance for whole journey and then total time for whole journey.
Total distance for whole journey = 30 miles + 50 miles = 80 miles
Time for 30 miles = distance/speed = 30/40 = 3/4 hrs = 0.75 hrs
Total time = 1.5 + 0.75 hrs = 2.25 hrs
Average speed = total distance/ total time
= 80/2.25
= 35.56 mph.
The average speed is 35.56 mph.
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There were 48,500 people at an amusement park on Monday. Forty two percent of the people wanted to ride the new roller coaster. Twenty-three percent of those people decided not to ride the coaster because the line was too long. About how many people waited in line for the new roller coaster that day?
Estimate the percent of a number
( with steps)
The people who waited in line for the new roller coaster that day is 9215?
How to calculate the value?From the information, forty two percent of the people wanted to ride the new roller coaster and twenty-three percent of those people decided not to ride the coaster because the line was too long.
The percentage of those who waited will be:
= 42% - 23%
= 19%
Since there were 48,500 people at an amusement park on Monday, those who waited will be:
= Percentage × Total number
= 19% × 48,500
= 9215
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10-9x24/8x6 (pemdas)
Answer:
-152
Step-by-step explanation:
1. Parenthesis
2. Exponents
3. Multiplication/Division (left to right)
4. Addition/Subtraction (left to right)
Always look left to right.
The first thing is 9x24=216 (3. multiply)
10-216/8x6
Then 216/8=27 (3. divide)
10-27*6
Then 27*6=162 (3. multiply)
10-162
Then finally 10-162=-152 (4. subtract)
The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.
We have,
To solve the expression using the order of operations (PEMDAS/BODMAS), follow these steps:
Perform multiplication and division from left to right:
10 - 9 x 24/8 x 6 can be rewritten as 10 - (9 x 24) / (8 x 6).
Perform the multiplication inside the parentheses:
10 - (9 x 24) / (8 x 6)
10 - 216 / (8 x 6).
Perform the multiplication in the denominators:
10 - 216 / (8 x 6)
10 - 216 / 48
Perform the division:
10 - 216 / 48
10 - 4.5
Perform the subtraction:
10 - 4.5
5.5
Therefore,
The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.
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hassan is cooking some rice.
the recipe says he needs 450 granms of rice for 6 people
how many kilograms of rice would he need for 18 people
Answer:
Round 1350 to decimal form and your answer should be 1.35 kg.
What is 4325 + 970 step by step explanation pls
What is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
Answer:
x = 4
Step-by-step explanation:
a line with an undefined slope is a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (4, 6 ) with x- coordinate 4 , then
x = 4 ← equation of line
the temperature at sunrise is 48°F . each hour the temperature rises 6°F write an equation that models the temperature y in degrees Fahrenheit after x hours. what is the graph of the equation.
EXPLANATION
Let's see the facts:
Temperature at sunrise = 48 °F
Rate = 6°F/h
The equation is given by the following expression:
Let's call "x" to the number of hours elapsed
y = 48 + 6x
The graph is given by the following representation:
What is the arithmetic mean between 15 and 7?
Answer:
11
Step-by-step explanation:
How to find the arithmetic mean:
Add all numbers together, and divide by the amount of numbers.
Ans: 15 + 7 = 22
22 ÷ by amount of numbers =
22 ÷ 2 =
11
Ans = 11
If a rectangle is drawn and another rectangle is drawn so that the sides are twice asbig as the first rectangle, what happens to the area? (remember k^2 for area)A.) quadruplesB.) doublesC.) triplesD.) not enoughInformation
Let the rectangle with side as x and y.
Determine the area of the rectangle.
[tex]\begin{gathered} A=x\cdot y \\ =xy \end{gathered}[/tex]The sides of the rectangle is increased by twice means that new sides are 2x and 2y.
Determine the area of new rectangle.
[tex]\begin{gathered} A^{\prime}=2x\cdot2y \\ =4xy \\ =4A \end{gathered}[/tex]So new area is four times the previous rectangle.
Thus correct answer is option A quadruples.
Which equation demonstrates the identity property?? (question 2\10 in 6th g math) ( be fast pls need this right now)
A. (3x4)+(3x5)=3(4+5)
B. 3x5=5x3
C. 3(4x5)=(3x4)x5
D. 4x1=4
(15 points)
Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x
Step-by-step explanation:
a)
12 +15 = 3 *9
27= 27
1
B) 15=15
=1
c) 3*20=12*5
60=60
=1
d) 4=4
=1
-2 = y + 5/6 solve for y and simplify your answer as much as possible
Step-by-step explanation:
Solve for y: -2 = y + 5/6
-2 = y + 5/6 subtract 5/6 from both sides:
-2 - 5/6 = y + 5/6 - 5/6
-2 - 5/6 = y
combine left side:
-17/6 = y
so:
y = -17/6
OR:
[tex]y = -2\frac{5}{6}[/tex]
The slope of line ℓ
is greater than 0 and less than 1. Write an inequality for the slope of a line perpendicular to ℓ
.
By properties of perpendicular lines and algebra properties, the slope of the line perpendicular to line ℓ is represented by m' > 1.
How to represent an inequality associated with a line perpendicular to another line
Let m be the slope of a line, in accordance with analytic geometry, the slope of line perpendicular to the first one is equal to m' = - 1 / m. The statement can be summarized by the following inequality:
0 < m < 1
Then, by algebra properties for inequalities we find that that slope for the perpendicular line is:
0 < m · m⁻¹ < m⁻¹
0 < 1 < m⁻¹
1 < m⁻¹
- m⁻¹ > 1
- 1 / m > 1
m' > 1
The slope of the line perpendicular to line ℓ is represented by m' > 1.
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Graph, on a separate piece of paper, the equation of a line with a slope of −3 and a y-intercept of 2.
Select the points that appear on the graph.
Multiple select question.
cross out
A)
(0, 0)
cross out
B)
(0, 2)
cross out
C)
(1, 1)
cross out
D)
(1, −1)
cross out
E)
(2, 0)
Based on the slope of the line and the y-intercept, when graphed, the points that will appear on the graph will be:
B. (0, 2) D. (1, -1)How to graph the line?The equation of a line takes the form:
y = mx + b
m = slope
b = y - intercept
This line would therefore take the equation form:
y = - 3x + 2
When graphed, the graph would be as attached.
As shown by the graph, the points that will appear include:
(0 , 2) (1 , - 1)
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If Y Varies inversely as X. If Y=6 and X=10. FIND X when Y=18, correct to 3 significant figures.
Answer:
x ≈ 3.33
Step-by-step explanation:
given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the condition y = 6 , x = 10
6 = [tex]\frac{k}{10}[/tex] ( multiply both sides by 10 )
60 = k
y = [tex]\frac{60}{x}[/tex] ← equation of variation
when y = 18 , then
18 = [tex]\frac{60}{k}[/tex] ( multiply both sides by k to clear the fraction )
18k = 60 ( divide both sides by 18 )
k = [tex]\frac{60}{18}[/tex] ≈ 3.33 ( to 3 significant figures )
Hello I'm trying to figure out this math problem can anyone help me
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
Earnings:
January = $2350
February = january + $500
March = twice as much (february)
Step 02:
March's earnings:
February = $2350 + $500 = $2850
March = 2 * $2850 = $5700
The answer is:
She earned $5700 in March
a fence is to be built to enclose a rectangular area of 280 square feet. the fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 13 dollars per foot. find the dimensions of the enclosure that is most economical to construct.
Fencing of any rectangular region is basically represent perimeter of that rectangular region.
For most economical fencing, length L = 21.05 feet and width W = 13.301 feet.
How to estimate the length and width of the rectangular region?Area of rectangular region is 280 square feet.
And length is L and width is W.
Area of rectangular region = L × W=280 square feet
W=280 / L
Since, The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 14 dollars per foot.
Therefore, Total cost, C = 6(2L + W) + 13W = 12 L + 19 W
Total cost, C = 12 L+ 5,320 / L
To find most economical cost, differentiate above function and equate to zero.
C' = 12 - 5,320 / L²
simplifying the above equation, we get
⇒ 12 - 5,320 / L² = 0
⇒ L² = 5,320 / 12
L = 21.05 feet
Therefore, L = 21.05 feet
Substituting value of L in area equation.
We get, W = 13.301 feet.
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True or False: The set of whole numbers is closed under multiplication.
Explanation:
Take any two whole numbers you want. Multiplying them together always result in some (other) whole number.
Examples:
2*3 = 65*7 = 3511*12 = 132In other words,
(whole number)*(whole number) = whole number
This is why we consider the set closed under multiplication.
f(x)= x-6/2
g(x)=√x-4
Express the function gf in the form gf(x) = ...
Give your answer as simply as possible.
The function is given below
What is a function?
The value of a function f at an element x of its domain is indicated by f(x); the numerical value resulting from the function evaluation at a given input value is expressed by substituting x with this value; for example, the value of f at x = 4 is denoted by f(x) (4). When the function is not named and is represented by an expression E, the function's value at, say, x = 4 can be expressed by E|x=4. In science, engineering, and the bulk of the mathematical disciplines, functions are commonly used. Functions are claimed to be "the central objects of research" in most branches of mathematics.
The given function is
f(x) = x - 6/2
The function in gf is
g{f(x)} = √(x - 6/2) - 4
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The value of the required composite function is [tex]g(f(x))=\sqrt{x-\frac{6}{2} } -4[/tex].
What is a composite function?
When the result of one function is utilized as the input for another, a composite function is created.
Given that:
[tex]f(x)=x-\frac{6}{2}[/tex] and [tex]g(x)=\sqrt{x}-4[/tex]
To find the composite function [tex]g(f(x))[/tex], it is required to use the output of the first function as the input of the second function. It means that replace [tex]x[/tex] by [tex]f(x)[/tex] in the second function as:
[tex]g(x)=\sqrt{x}-4\\g(f(x))=\sqrt{f(x)}-4[/tex]
Now, substitute the value of [tex]f(x)[/tex] on the right side of the above equation as:
[tex]g(f(x))=\sqrt{x-\frac{6}{2}}-4[/tex]
Hence, the required answer is:
[tex]g(f(x))=\sqrt{x-\frac{6}{2}}-4[/tex]
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Subtract and simplify:
PLEEEEASE HEEEEELP ASAP
8 1/2 − 5 2/3 = _____
Responses
A 16/6
B 3 1/3
C 2 5/6
D 3 1/6
Answer:
C
Step-by-step explanation:
8.5 - 5.6666= 2.83
Answer:
C. 2 5/6
Step-by-step explanation:
8 1/2 - 5 2/3 1. convert mixed numbers into an improper fraction
17/2 - 17/3 2. convert fractions into 2 numbers that can be subtracted
51/6 - 34/6 3. subtract
17/6 4. convert to mixed number
2 5/6
A triangle has two sides of length 12 and 12. What is the largest possible whole-number length for the third side?
The largest possible whole-number length for the third side of the triangle is 23.
The total of any two sides in a triangle with sides a, b, and c MUST be less than the length of the third side.
You have a line segment, not a triangle if the third side's length equals the sum of the other two sides' lengths.
Here, the sum of the two sides of the triangle is 12 + 12 = 24.
Therefore, the length of the third side should be less than 24, and the whole number which is less than 24 is 23.
Hence, the length of the third side is 23.
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Which of the following properly describe
"slope"? Select all that apply.
0
A)
ratio of the change in y-values
(rise) for a segment of the graph to
the corresponding change in x-
values (run)
OB) x₂-x₂
y₂-M1
C) ₂-₁
x₂-x₂
D) run/rise
☐ E) rise/run
if 63 Naira is shared in the ratio 4 ratio 5 what is the larger share
Answer:
35
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
divide 63 by 9 to find the value of 1 part of the ratio
63 ÷ 9 = 7 , then
4 parts = 4 × 7 = 28
5 parts = 5 × 7 = 35 ← larger share
What are the Missing Angles? Are these triangles the similar or Not similar?
Answer:
The missing angle in Triangle A is 66 degrees
The missing angle in Triangle B is 34 degrees
Because Triangle A has measures of 34 degrees, 80 degrees, and 66 degrees
and
Triangle B has measures of 80 degrees, 66 degrees, and 34 degrees, we can conclude that THEY ARE SIMILAR TRIANGLES
Explanation:
The sum of angles in a triangle is 180 degrees.
Given that triangle A has m<1 = 34 degrees, m<2 = 80 degrees. Let the missing angle be x, then
x + 34 + 80 = 180
x + 114 = 180
Subtract 114 from both sides
x = 180 - 114
= 66 degrees
Triangle B has m<1 = 80 degrees, m<2 = 66 degreess. Let the missing angle be y, then
y + 80 + 66 = 180
y + 146 = `180
Subtract 146 from both sides
y = 180 - 146
= 34 degrees
Triangles A and B are similar, since they have similar measure of angles.
Please help ㅤㅤ
What is the value of this expression
ㅤ
PLUG IN THE VALUES OF THE VARIABLES IN THE RIGHT POSITIONS AND SIMPLIFY.
[tex] \frac{1}{2} (12 - 4) \times \frac{1}{4} \\ = \frac{1}{2} (8) \times \frac{1}{4} \\ = \frac{8}{2} \times \frac{1}{4} \\ = \frac{8}{8} \\ = 1[/tex]
THE ANSWER IS OPTION B.
question 8 a large hotel chain sees about 500 customers per week. a data analyst working there is gathering data through customer satisfaction surveys. they are anxious to begin analysis, so they start analyzing the data as soon as they receive 50 survey responses. this is an example of what? select all that apply.
The sampling strategy used in this problem is an example of:
Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.What is sampling?Sampling is when a subset of an entire population is studied, to verify whether characteristics of the sample can be expanded to the entire population.
The sample has to be representative of the population, that is, large enough, hence it should contain all the subsets of the population.;
In the context of this problem, the chain sees about 500 customers a week and they receive the responses from 50 of them. This is a not large enough sample size, hence it could cause biased results, meaning that the perspective of the entire population will not be considered.
In the context of this problem, the survey are anonymous, and the objective of a survey is generally not to reward the participants, hence the last two options are false.
What is the missing information?The options are given as follows:
Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.Failing to reward customers for participating in the survey.Failing to collect data anonymously.More can be learned about sampling at https://brainly.com/question/9910540
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which of the following additional statements would you need to prove these two triangles are by SAS similarity?
∠I ≅∠L
1) Given that the triangles are similar, then we can write:
[tex]\begin{gathered} \frac{KL}{HI}=\frac{JL}{GI} \\ \frac{18}{12}=\frac{27}{18}\text{ =}\frac{3}{2} \end{gathered}[/tex]Notice that the sides are proportional to k=3/2.
2) Since we need to prove that these triangles are similar under SAS -Side, Angle Side, examining the picture we can state that one of their corresponding angles are congruent so
[tex]\begin{gathered} \angle I\cong\angle L \\ \end{gathered}[/tex]3) Having one of these angles as congruent would fit to prove that these triangles are similar by SAS similarity.
Answer:
∠I ≅∠L
Step-by-step explanation:
