What is the volume of the rectangular prism, when the height is 10 1/2, the width is 2 3/4 and the base is 5?
A. 18 1/4
B. 28 7/8
C. 52 1/2
D. 144 3/8
10 points---Help----Factor the expression completely.
-16x - 32
A.
-16(x - 2)
B.
-8(2x + 8)
C.
-8(2x - 8)
D.
-16(x + 2)
the polygons are similar find the values of the variables
1. The value of x is 3.96
2. The value of x is 3.75
Similar triangles are triangles with equal corresponding side ratios and equal corresponding angles.
For two triangles to be Similar, the ratio of their corresponding sides must be equal.
Using similar triangles theorem;
1. x /6 = 3.3/5
5x = 19.8
x = 3.96
2. x/1.5 = 10/4
4x = 1.5 × 10
4x = 15
x = 15/4
x = 3.75
5/8 of votes were blue,5/9 of remaining were for green and the remaining 48 votes were for red
There were [tex]\(38\)[/tex] votes for blue and [tex]\(13\)[/tex] votes for green.
Let's break it down step by step:
1. Votes for Blue:
Initially, [tex]\(5/8\)[/tex] of the votes were for blue. Let's denote the total number of votes as [tex]\(T\).[/tex]
So, the number of votes for blue initially is [tex]\(5/8\) of \(T\)[/tex], which is [tex]\((5/8) \times T\)[/tex].
2. Remaining votes after blue:
After blue votes are accounted for, the remaining votes are [tex]\(T - (5/8) \times T = (3/8) \times T\).[/tex]
3. Votes for Green:
[tex]\(5/9\)[/tex] of the remaining votes are for green. So, the number of votes for green is [tex]\((5/9) \times (3/8) \times T\)[/tex].
4. Votes for Red:
The remaining votes after blue and green are accounted for are 48 votes.
To find the solution, we need to set up equations based on the information given:
Equation 1: Votes for blue + Votes for green + Votes for red = Total votes
Equation 2: Votes for green = \(5/9\) of remaining votes
Equation 3: Votes for red = 48
Let's solve these equations:
Equation 1:
[tex]\[\frac{5}{8}T + \frac{5}{9} \times \frac{3}{8}T + 48 = T\][/tex]
Equation 2:
[tex]\[\frac{5}{9} \times \frac{3}{8}T = \frac{15}{72}T = \frac{5}{24}T\][/tex]
Now, let's substitute the value of [tex]\(T\)[/tex] from Equation 3 into Equation 1:
[tex]\[\frac{5}{8} \times \frac{48}{5} + \frac{5}{9} \times \frac{3}{8} \times \frac{48}{5} + 48 = \frac{48}{8} + \frac{15}{24} \times \frac{48}{5} + 48 = 6 + 3 \times 2 + 48 = 60\][/tex]
So, we have [tex]\(T = 60\).[/tex]
Now, let's find the number of votes for blue and green:
Votes for blue:
[tex]\[\frac{5}{8} \times 60 = 37.5\][/tex]
Votes for green:
[tex]\[\frac{5}{24} \times 60 = 12.5\][/tex]
Since we can't have half votes, we round 37.5 to 38 and 12.5 to 13.
So, there were [tex]\(38\)[/tex] votes for blue and [tex]\(13\)[/tex] votes for green.
The correct question is:
5/8 of the votes were for blue. 5/9 of the remaining votes were for green and the remaining 48 votes were for red. How many votes were for blue? How many votes were for green?
Choose the correct simplification of d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.
d9g20
1 over d to the 5th power times g to the 6th power
1 over d to the 9th power times g to the 20th power
d5g6
Answer:
Option 4
Step-by-step explanation:
Given : d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.
To find : The correct simplification
Solution :
d to the 7th power = [tex]d^7[/tex]
g to the 13th power = [tex]g^{13}[/tex]
d to the 7th power times g to the 13th power = [tex]d^7\times g^{13}[/tex]
d to the 2nd power = [tex]d^2[/tex]
g to the 7th power = [tex]g^7[/tex]
d to the 2nd power times g to the 7th power = [tex]d^2\times g^{7}[/tex]
According to question,
d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.
[tex]=\frac{d^7\times g^{13}}{d^2\times g^7}[/tex]
[tex]=d^{7-2}\times g^{13-7}[/tex]
[tex]=d^{5}\times g^{6}[/tex]
Therefore, Option 4 is correct.
(100 POINTS)
State the slope of Function A.
State the slope for Function B.
State an equation for a third linear function with a rate of change that is between the rates of change for Function A and Function B.
Explain how you know the function you created has a rate of change in between those of Function A and Function B.
The easiest option will definitely be:
x = 5 and y = y
Hope it helped,
Happy homework/ study/ exam!
5 gal × 20 mpg = ? how far can the driver travel with 5 gallons of gas
What is the volume of a cube with length 4 inches? in3
Jessica has 5 members in the sewing club that she started. In order to get school sponsorship she must have at least 30 members. How many more members does she need? Write an inequality that models this situation.
A) 5 + x ≥ 30
B) 5 + x ≤ 30
C) 30 + x ≥ 5
D) 30 + x ≤ 5
HELP PLLZZZZZZZZZZZZZZZZZZZ
what would 5.36 be in a fraction
Please explain how you got the answer too.
13. The total debt to total assets of Cypress Corporation was 0.71. The total of Cypress's assets was $270,000. What's the amount of total debt?
A. $146,700
B. $461,700
C. $119,700
D. $191,700
A rectangular dog kennel has a length of 7 feet and a width of 5feet what is the perimeter of the bottom of the dog kennel
What fraction of this model,in simplest form,is shaded?u
Answer:2/10 is equal to
any even number has to have a half like 2 4 6 8
2 is half of 4 1 is half of 2 4 is half of 8 and so on
the fractiom is shaded into 2/10
5/10
your wecs :0 ;)
A line with a slope of 3/2 passes through (4,-1). Write the equation.
we know that
the equation of the line in the form point-slope is equal to
[tex]y-y1=m*(x-x1)[/tex]
in this problem we have
[tex]point(4,-1)\\\\m=\frac{3}{2}[/tex]
Substitute the values
[tex]y+1=\frac{3}{2}*(x-4)[/tex]
[tex]y=\frac{3}{2}x-6-1\\\\y=\frac{3}{2}x-7[/tex]
therefore
the answer is
[tex]y=\frac{3}{2}x-7[/tex]
In a survey, 4 out of 7 people like Brand A better than Brand B. If 210 people were in the survey, how many people preferred Brand A? P.S this is a proportions question!
Answer: 120 people like brand A better
Step-by-step explanation:
twelve less than a third of a number is -10
how to solve triangle prisms
So for line of best fit, I got y=1.72x+73.35
and then I have to predict what grade a student would get if they read 15 books. Here, I got 99.15
Can someone check my work and explain if it's wrong or right?
A square dartboard contains a red square and a blue square that overlap. A dart hits a random point on the board.
Express your probability as a decimal rounded to 2 decimal places.
Miranda brought 24 cookies to share with her class. Two-thirds of the cookies are chocolate chip. How many are chocolate chip?
Evaluate 42 ÷ (5 − 3). 2 8 16 32
Pat and Julie share some money in the ratio 2:5 Julie gets £45 more than pat how much money did pat get?
Final answer:
By setting up an equation based on the given ratio 2:5 and the additional information that Julie receives £45 more than Pat, we find that Pat received £30.
Explanation:
The question deals with understanding ratios and how they can be used to solve problems involving sharing amounts in specified proportions. Pat and Julie share some money in the ratio 2:5, and it's given that Julie gets £45 more than Pat. To approach this problem, let's designate the amount Pat receives as 2x and the amount Julie receives as 5x, where x is a common multiplier.
It is stated that Julie gets £45 more than Pat, which can be represented as 5x = 2x + 45.
Solving the equation for x gives us 3x = 45, hence x = 15.
To find out how much Pat received, we substitute x = 15 into 2x, giving us 2(15) = 30.
Therefore, Pat got £30.
A skyscraper with 103 floors is 1133 feet tall. Each floor is the same height. How tall is each floor
-1/5(x-4)=-2 solve for x plz help !!!!
Betty earns $7.50 per hour at a part time job. Let x be the number of hours and y be the amount she earns. Betty makes a graph to show how x and y are related. If she earns $60, how many hours did she work?
You bring 18oz of shampoo for 3.99 or 24oz for 5.99 WICh is the better buy explain
Final answer:
To decide the better purchase between two sizes of shampoo, the cost per ounce is calculated, showing that the 18oz option at $0.22 per ounce is more economical than the 24oz option at $0.25 per ounce.
Explanation:
To determine which shampoo option is the better buy, we calculate the cost per ounce for each option. Cost per ounce is calculated by dividing the total cost of the product by the total number of ounces.
For the 18oz shampoo at $3.99, cost per ounce = $3.99 / 18oz = $0.22 per ounce.
For the 24oz shampoo at $5.99, cost per ounce = $5.99 / 24oz = $0.25 per ounce.
The 18oz shampoo at $0.22 per ounce is the better buy compared to the 24oz shampoo at $0.25 per ounce because you are paying less per ounce.
what is the length of side YZ?
What is the volume of a square pyramid with a base length of 5 cm and a height of 6 cm?
Enter your answer in the box.
cm³
Given is a square pyramid with a base length of 5 centimeters and a height of 6 centimeters.
The volume formula of square pyramid is given by :-
[tex] volume = \frac{1}{3} (base\; area)(height) [/tex]
Base area would be a square of side length equal to 5 centimeters.
Area of square = (side)² = 5 × 5 = 25 squared centimeters.
Now, volume of square pyramid = [tex] \frac{1}{3} (25)(6) [/tex] = 50 cubic centimeters.
So, final answer is 50 cubic centimeters.
Write a Real-Word problem that is solved by an equation.