Cora is building towers of two different sizes using prism- and pyramid-shaped blocks. The diagram shows the ratio of prisms and pyramids in each tower. A tape diagram with 2 tapes of unequal lengths. The first tape has 4 equal parts. A curved bracket above the first tape is labeled Prisms. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Pyramids. A tape diagram with 2 tapes of unequal lengths. The first tape has 4 equal parts. A curved bracket above the first tape is labeled Prisms. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Pyramids. The table shows the number of prisms and the number of total blocks that Cora will use on each of her towers. Based on the ratio, complete the missing values in the table. Tower Prisms Total blocks AAA 161616 BBB 353535

Answers

Answer 1

Answer:

total blocks are 20 and prisms are 28

Step-by-step explanation:

Answer 2

There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B

From the tape diagrams, we have the following ratio

Prism : Pyramid = 4 : 1

From the table, we have:

Tower A = 16 prisms

So, the ratio becomes

16 : Pyramid = 4 : 1

Multiply the ratio on the right-side by 4

16 : Pyramid = 16 : 4

By comparison, we have:

Pyramid = 4

This means that, 4 pyramid blocks are needed for tower A

So, the total number of blocks needed is:

Total = Pyramid + Prism

This gives

Total = 4 + 16

Evaluate the sum

Total = 20

Hence, there are 20 blocks needed for tower A

For table B, we have:

Tower A = 35 prisms

So, the ratio becomes

35 : Pyramid = 4 : 1

Express as fractions

[tex]\frac{Pyramid}{35} = \frac 14[/tex]

Multiply through by 35

Pyramid = 8.75

This means that, 8.75 pyramid blocks are needed for tower B

So, the total number of blocks needed is:

Total = 8.75 + 35

Evaluate the sum

Total = 43.75

Hence, there are 43.75 blocks needed for tower B

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Related Questions

what is -8, -9 across the x-axis and then across the y-axis

Answers

this is your answer...........

Write an equation for the function graphed below. I keep doing this and getting the same answer, what am I doing wrong.

Answers

Answer:

(-4(x-2))/((x+2)|(x-4)|)

Step-by-step explanation:

You were so close. I stared at your problem for a

long time when you first posted it. I used a graphing utility to experiment. Your denominator was perfect for getting the vertical asymptotes in the right place. The y-intercept worked. The x-intercept was exactly right. I couldn't get the far right piece of the curve to reflect down in the fourth quadrant.

Hours later...suddenly BAM! ABSOLUTE VALUE pops into my head.

I always thought the numerator should be negative, so that middle portion of the curve that looks like a cubic would start "up to the left" and end "down to the right" But those left and right curves should be like mirror images of each other sort of. So I tried the absolute value and it worked! Good luck with your work. Hope this helps a little.

Which equation has a missing number that is different from the others?

Answers

Answer:

732 + 100 = __

Step-by-step explanation:

732 - 100 = 632

732 + 100 = 832

732 = 632 + 100

732 - 632 = 100

I am 6 years old my sister is 3 years old I am 30 years old how old is my sister

Answers

27

Step-by-step explanation:

you are 6 years old while your sister is 3.

so you're basically 3 years older than her, now that you're 20 let's just subtract 3 from it.

[tex]20 - 3 = 27[/tex]

Answer:

27

Step-by-step explanation:

6-3 = 3

30-3 = 27

en una clase de 2 de la eso hay el doble de chicas que de chicos. Si hay 30 alumnos, ¿cuantos chicos y chicas hay en clase?

hay que hacerlo mediante ecuaciones plis que alguien me ayude(todos las operaciones pls)

Answers

Sean x las chicas, y los chicos:
x = 2y
x + y = 30

Sustituímos en la segunda ecuación el valor de x que tenemos despejado en la primera:
2y + y =30
3y = 30
y = 30 : 3 = 10 chicos
x = 10 * 2 = 20 chicas

what's the Answer ???

[tex] \tiny{ \tiny{(5 + 5 - 5 - 5) \div (2 + 2 + 2 - 6)}}[/tex]

Answers

Answer:

undefined.

explanation:

→ [tex](5+5-5-5) / ( 2+2+2-6)[/tex]        

                           [ things inside the brackets are necessary to work out first ]

→ [tex](10-10) / (6 - 6 )[/tex]

→ [tex]\frac{0}{0}[/tex]

→ undefined.

                              [ as [tex]\frac{x}{0}[/tex] is undefined ]

[tex] \boxed{ \sf Answers \: is \: 0}[/tex]

(5 + 5 - 5 - 5) ÷ (2 + 2 + 2 - 6)

( 10 - 10 ) ÷ ( 4 - 4 )

0 / 0

Undefined

Hope Helps! :)

please I need the answers now​

Answers

#a

[tex]\\ \tt\hookrightarrow 2(2x+1)=30[/tex]

[tex]\\ \tt\hookrightarrow 4x+2=30[/tex]

[tex]\\ \tt\hookrightarrow 4x=28[/tex]

[tex]\\ \tt\hookrightarrow x=7[/tex]

#b

[tex]\\ \tt\hookrightarrow 3(4x-3)=-12[/tex]

[tex]\\ \tt\hookrightarrow 12x-9=-12[/tex]

[tex]\\ \tt\hookrightarrow 12x=-3[/tex]

[tex]\\ \tt\hookrightarrow x=-1/4[/tex]

#c

[tex]\\ \tt\hookrightarrow 4(2x-7)=20[/tex]

[tex]\\ \tt\hookrightarrow 2x-7=5[/tex]

[tex]\\ \tt\hookrightarrow 2x=12[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

#d

[tex]\\ \tt\hookrightarrow 7(3x-4)=63[/tex]

[tex]\\ \tt\hookrightarrow 3x-4=9[/tex]

[tex]\\ \tt\hookrightarrow 3x=13[/tex]

[tex]\\ \tt\hookrightarrow x=13/3[/tex]

#e

[tex]\\ \tt\hookrightarrow 6(3x+3)=-72[/tex]

[tex]\\ \tt\hookrightarrow 18x+18=-72[/tex]

[tex]\\ \tt\hookrightarrow 18x=-90[/tex]

[tex]\\ \tt\hookrightarrow x=-5[/tex]

#f

[tex]\\ \tt\hookrightarrow -2(6x-3)=6[/tex]

[tex]\\ \tt\hookrightarrow 6x-3=-3[/tex]

[tex]\\ \tt\hookrightarrow 6x=0[/tex]

[tex]\\ \tt\hookrightarrow x=0[/tex]

The value of x is 7.

The value of x is -1/4.

The value of x is 7.

The value of x is 4 1/3.

The value of x is -5.

The value of x is 0.

What is the value of x in the equations?

2(2x + 1) = 30

The first step is to divide both sides of the equation by 2

2x + 1 = 15

Combine similar terms

2x = 15 - 1

2x = 14

x = 7

3(4x - 3) = -12

The first step is to divide both sides of the equation by 3

4X - 3 = -12 /3

4x - 3 = -4

Combine similar terms

4x = -4 + 3

4x = - 1

x = -1/4

4(2x - 7) = 20

The first step is to divide both sides of the equation by 4

2x - 7 = 5

Combine similar terms

2x = 5 + 7

2x = 12

x = 6

7(3x - 4) = 63

The first step is to divide both sides of the equation by 7

3x - 4 = 9

Combine similar terms

3x = 9 + 4

3x = 13

x = 4 1/3

6(3x + 3) = -72

The first step is to divide both sides of the equation by 6

3x + 3 = - 12

Combine similar terms

3x = -12 - 3

3x = -15

x = -5

-2(6x - 3) = 6

The first step is to divide both sides of the equation by -2

6x - 3 = -3

Combine similar terms

6x = -3 + 3

6x = 0

x = 0

To learn more about division, please check: https://brainly.com/question/194007

please help me to solve this problem ​

Answers

Answer:

1/x+2

Step-by-step explanation:

1/x−2 + 4/4-X^2

Factor 4−x^2

1/x−2  +  4/(x−2)(−x−2)

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x−2 and (x−2)(−x−2) is (x−2)(−x−2).

Multiply :  1/x−2 TIMES −x−2/−x−2

−x−2/(x−2)(−x−2)  +  4/(x−2)(−x−2)

​Since  −x−2/(x−2)(−x−2) and  4/(x−2)(−x−2)  have the same denominator, add them by adding their numerators.

−x−2+4​/(x−2)(−x−2)

Combine like terms in −x−2+4.

−x+2/(x−2)(−x−2)

Extract the negative sign in −x+2.

−(x−2)/(x−2)(−x−2)

Cancel out x−2 in both numerator and denominator.

1/X-2

A line that includes the point (7,3) has a slope of 0. What is its equation in slope-intercept form?

Answers

Answer:

y=mx+c

7,3

3=0×7+c

c=3

y=0x+3

A catering company sells an 8 lb container of food for $54. Use a model to write a rate for this situation. What does this rate mean?

Answers

Answer:

$6.75 per pound

Step-by-step explanation:

$54 ÷ 8lb = $6.75/lb

or a 1:6.75 ratio/rate

The model to write the rate for this situation is 54 / 8 and the rate is $6.75.

What is Unit Rate?

Unit rate is the amount of one quantity for a unit amount of the other quantity.

In other words it compares 1 unit of some quantity with different amount of another quantity.

Given that,

A catering company sells an 8 lb container of food for $54.

We have to find the unit rate for the given situation.

Price for 8 lb container of food = $54

Price for 1 lb container of food = 54 / 8

                                                   = $6.75

This is the required rate, which means that price for 1 lb container of food is $6.75.

Hence, the unit price for the food sold by catering company is $6.75.

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#SPJ2

I need a lot of help pleaseeee help me ​

Answers

Answer $9.99

Explanation: $14.99 - $5.00 = $9.99

Learning Task 1: Show the following decimals using grids. Write your answer in your notebook. 1) 0.9 2) 0.1 3) 0.24 4) 0.21 50.11 6) 0.15​

Answers

Answer:

I hope this helps you:)

Step-by-step explanation:

Write an equation for a line parallel to y=-3x + 11 and goes through the point (2,4)

Answers

Answer:

equation: y = -3x + 10

Step-by-step explanation:

y = -3x + 11

comparing the formula, y = mx + b

We can determine the slope is -3 and y-intercept is 11.

if the line passes (2,4)

use the formula:

y - y1 = m(x - x1)

y - 4 = -3(x - 2)

y = -3x + 6 +4

y = -3x + 10

How do you find the maximum height of an object with only time

We have the formula h = 16t^2 - 80t

if you solve it you get 5 seconds for the time it is in the air. how do you find the maximum height from this​

Answers

6000

Step-by-step explanation:

[tex]16t ^{2} - 80t[/tex]

substitute t to 5(seconds)

[tex]16(5) ^{2} - 80(5) \\ 6400 - 400 \\ = 6000[/tex]

linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4

Answers

Answer:

y = -4x + 14

Step-by-step explanation:

We'll use the slope intercept form: y = mx + b

It is given that the slope of -4, so m will be -4 like this: y = -4x + b

We are also given the coordinates where x = 3 and y =2

2 = -4(3) + b

2 = -12 + b

Add 12 to both sides

2 = -12 + b

+ 12  + 12

b = 14

We end up with y = -4x + 14

Perry spent $22. 50 on material to make necklaces. He used all of the material and made 15 necklaces. How much should Perry charge for each necklace if he wants to make a profit of $60? $1. 50 $4. 00 $5. 50 $7. 0.

Answers

Answer:

$5.50

Step-by-step explanation:

22.5/15= 1.5

each necklace costs $1.50

$5.5 x 15(necklaces)=$82.5

82.5-22.5(cost of making all the necklaces)=$60

Your aquarium has 15 fish in it. That is 75% of the total capacity for the aquarium. How many total fish can live in your fish tank?

Answers

Answer: 20

Step-by-step explanation:

15 divided by 3 equals 5 and 15 plus 5 equals 20.

Mckenzie has been saving her earnings from mowing the
neighborhood lawns. She has 22 dollars and wants to spend it
all on games. If each game costs 3 dollars, how many can
Mckenzie buy?

Answers

Answer:

7 games

Step-by-step explanation:

22 / 3 =

7.33

Mckenzie can buy 7 games

A city employee is organizing a race down Broadway, from Beale Street to Grand Avenue. There will be a water station at the beginning and end of the race. There will also be water stations along the route, with no more than one mile between stations. What is the minimum number of water stations for this race​

Answers

It can be deduced from the multiplication that the minimum number of water stations for this race will be 28.

How to calculate the number of water stations

Your information isn't complete as the figures aren't provided. Therefore, an overview will be given.

In this case, let's assume that there are 14 routes and that there will be a water station at the beginning and end of the routes.

From the scenario, if the racers are to run through all the routes, the number of water stations will be the value of 14 multiplied by 2. This will be:

= 14 × 2 = 28

In conclusion, the correct option is 28.

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What is the missing term in the arithmetic sequence below?

-98, ___, -184

Answers

Answer: -141 I think

Step-by-step explanation:

Help me with this one

Answers

Answer:

traingle

Step-by-step explanation:

back in the 6 grade i got the bad grades i was in love with my tutor

never gonna gonna give you up

may anyone help?? i didnt score correct also can someone please correct me

Answers

[tex] \longrightarrow f( \rm x) = (x - 4)(x + 4)[/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow f( \rm x) = {(x)}^{2} - {(4)}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow f( \rm x) = {x}^{2} - 16[/tex]

Formula used = (a + b) (a - b) = a² - b²

During a winter storm, the temperature on the top of a
mountain changed an average of -2.5°C every hour
for 12 hours. At noon, the temperature was -5°C.
During the same time period, the temperature at the
bottom of the mountain changed at the rate of
temperature change on the top of the mountain.

What is the hourly rate of temperature change at the bottom of the mountain ?

Answers

According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

What is the average rate of change?

The average rate of change of a function is given by the change in the output divided by the change in the input.

In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

You can learn more about average rate of change at brainly.com/question/26420851

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1600 seats. The students filled 77% of the seats in the theater. How many 6th graders went on the trip?

Answers

Answer:

1232 yan po tamang sagot

you need to divide 1600 to 50% it will be 800

now you have to add 800 to 27% the answer will be 1232

now the finall answer will be 1232

so in the 1600 seats the 77% of children is 1232

#carry on learning

Find the surface area of each cylinder. Round to the nearest tenth, if necessary.

A cylinder with a radius of 1ft and a height of 10ft.

Answers

Answer:

69.12ft

Step-by-step explanation:

I'm

pretty sure

What is X if X + 2/3 = 9/10?

Answers

Answer:

[tex]x=\frac{7}{30}[/tex]

Step-by-step explanation:

Given the following question:

[tex]x+\frac{2}{3} =\frac{9}{10}[/tex]

In order to find the answer to this question we need to subtract 9/10 from 2/3. To do this we need to find the common denominator, and then subtracting the numerators.

[tex]\frac{9}{10} -\frac{2}{3}[/tex]
[tex]\frac{9}{10} \times3=\frac{27}{30}[/tex]
[tex]\frac{2}{3} \times10=\frac{20}{30}[/tex]
[tex]27-20=7=\frac{7}{30}[/tex]
[tex]x=\frac{7}{30}[/tex]

Hope this helps.

Evaluate Functions From a Graph

Answers

Answer:

f(-2)= -6

Step-by-step explanation:

Hope this helps :)

Answer:

f(-2)=-6

Step-by-step explanation:

cause

if 2^a=√64 and b/a =3 evaluate a^2+b^2

Answers

Answer:

90

Step-by-step explanation:

2^a=√64   2^a=8   a=3

b/3=3   b=3*3   b=9

a²+b²=3²+9²=9+81=90

Under his cell phone plan, Jacob pays a flat cost of $40.50 per month and $3 per
gigabyte. He wants to keep his bill at $48.90 per month. Write and solve an equation
which can be used to determine g, the number of gigabytes of data Jacob can use
while staying within his budget.

Answers

The constant for this equation would be 40.50 because it is the flat rate. We can use 3g to represent how it costs $3 per gigabyte. Our equation is going to be 3g + 40.50 = 48.90.

Our goal is to isolate g. We can do that by subtracting 40.50 from both sides. This gives us 3g = 8.4. Then, we need to divide both sides by 3. This gives us g = 2.8. Jacob can use 2.8 gigabytes or less to stay within the budget.

Which of the graphs below would result if you made the leading term of the
following function negative?
F(x) = x^3 + 3x^2


Answers

Answer:

D

Step-by-step explanation:

Cubic equation: an algebraic equation of degree three and of the form

[tex]ax^3 + bx^2 + cx + d = 0[/tex], where a, b and c are the coefficients and d is the constant.

If the leading coefficient [tex]a[/tex] of a cubic equation is positive, the curve begins in quadrant III and ends in quadrant I

If the leading coefficient [tex]a[/tex] of a cubic equation is negative, the curve begins in quadrant II and ends in quadrant IV

For information

Graph A = cubic function with positive leading coefficient

Graph B = quadratic function with positive leading coefficient

Graph C = quadratic function with negative leading coefficient

Graph D = cubic function with negative leading coefficient

Therefore, if you made the leading coefficient of [tex]f(x)=x^3+3x^2[/tex] negative, it would be graph D.

Answer:

D graph D

Step-by-step explanation:

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