m/
For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6 cubic inches of chocolate. Dorothy
plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. What is the largest number of pyramids she can make from the 20
bars of chocolate?
A.
180
B
240
C.
450
OD
520
OE
580

9514 1404 393

Answer:

  (a)  628 cm³

Step-by-step explanation:

Put the given numbers into the formula and do the arithmetic.

  V = πr²h

  V = (3.14)(5 cm)²(8 cm) = 628 cm³

Answer:

Part A = B. 1 ÷ 1/3 = 3

Part B = 27 brownies

Step-by-step explanation:

Part A

From the ingredients given in above question:

1/3 cup of butter = 1 batch of brownies

Hence: 1 cup of butter = x

Cross Multiply

1/3 cup of butter × x = 1 cup of butter × 1 batch of brownies

x = 1 cup of butter × 1 batch of brownies/1/3 cup of butter

x = 1 batch of brownies ÷ 1/3

x = 1 batch of brownies × 3/1

x = 3 batches of brownies

Hence, the number brownies Jackson can make with 1 cup of butter Is 3 batches of brownies

Therefore, the equation you can use to solve the problem is Option B. 1 ÷ 1/3 = 3

Part B

If each brownie is 1/9 of a batch, how many brownies did he make?

We know from Part A that Jackson made 3 batches of brownies hence:

1/9 of a batch of brownies = 1 brownie

3 batches of brownies = x

Cross Multiply

1/9 of a batch of brownies × x = 1 brownie × 3 batches of brownies

x = 1 brownie × 3 batches of brownies/ 1/9 of a batch of brownies

x =( 3 ÷ 1/9) brownies

x = ( 3 × 9/1) brownies

x = 27 brownies

Therefore, the number of brownies he made was 27 brownies.

Answer:

Commission: $46.68

Step-by-step explanation:

https://www.commission-calculator.com/

By using this calculator, it shows you exactly the commission rate.

Let x be the length of the third side.

Thus:

[tex]\mathsf{25^2=17^2+x^2}\\\\\mathsf{625=289+x^2}\\\\\mathsf{x^2=625-289}\\\\\mathsf{x^2=336}\\\\\mathsf{x=\sqrt{336}}\\\\\boxed{\mathsf{x=4\sqrt{21}}}[/tex]

Answer:

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

A=bh=8·12=

NEXT TIME SHOW THE PICTURE BUT YOU GOOD FOR RN.

Answer: 1178

Step-by-step explanation:

You can make 5.5% 0.055

Multiply 0.055 by $21000

0.055 x $21000 = 1155

Then you have to add 23

1155+23=1178

Answer:

32.54%

Step-by-step explanation:

To determine the probability that an individual song has a danceability of at least 0.7

Applying the excel formula below

=COUNTIF ( I2:I4771,">0.7") / ROWS( I2:I4771)

Hence ; The probability of an individual song having a danceability of at least 0.7 = 32,54%

Answer:

4 classes

Step-by-step explanation:

4+3+5+9+3+4=28

28/6=4.6

Answer:

a) The fixed cost is $1350.

b) Total variable cost is $6000.

Step-by-step explanation:

a) The fixed cost = Operational cost + Insurance company bill.

                           = $ 1000  + 350 = $1350.

b) Variable cost:-

The number of facilitators = 20.

The salary for each facilitator = $300.

Total variable cost = $300 x 20 = $6000.

Answer:

1.075 or 43/40

Step-by-step explanation:

Answer:

1 3/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

circumference of a circle = 2πr

9.22 cm = 2*3.14*r

9.22 cm = 6.28*r

9.22 cm /6.28 = r

1.4681 = r

diameter of a circle = 2*r

=2*1.4681

=2.9362

=2.9 cm

Answer:

The Length of diameter of circle is 2.93cm.

Step-by-step explanation:

Using formula

Circumference of circle = π × d

substitute the values

9.22 cm = π × d

Using value of π = 3.14

9.22 cm = 3.14 × d

divide each side by 3.14

9.22 cm / 3.14 = 3.14 × d /3.14

2.93 cm = d

Hence, The Length of diameter of circle is 2.93cm.

Answer:

x = - 19/23

y= 6/15/23

Step-by-step explanation:

See the image I have shared for workings.

Answer:

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

[tex]3(8 - 4x) < 6(x - 5)[/tex]

It is solved similarly to an equality, so:

[tex]24 - 12x < 6x - 30[/tex]

[tex]-18x < -54[/tex]

Multiplying by -1, the signal changes from < to >. So

[tex]18x > 54[/tex]

[tex]x > \frac{54}{18}[/tex]

[tex]x > 3[/tex]

Thus the correct answer is given by the second number line.

Step-by-step explanation:

Using SOHCAHTOA

[tex] \tan = \frac{opposite}{adjacent} \\ \tan {31}^{0} = \frac{450}{x} \\ \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x = \frac{450}{0.6009}x \\ = 748.9[/tex]

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

[tex] {32}^{0} + {32}^{0} + {x}^{0} = {180}^{0} \\ 64 + x = 180 \\ {x}^{0} = 180 - 64 \\ {x}^{0} = {116}^{0} [/tex]

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

[tex] \cos = \frac{adjacent}{hypotenuse} \\ \cos {32}^{0} = \frac{10}{ab} \\ \cos32 = 0.8480 \\ 0.8480 = \frac{10}{ab} \\ ab = \frac{10}{0.8480} \\ line \: ab = 11.8[/tex]

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

[tex] {(11.8)}^{2} = {x}^{2} + {10}^{2} \\ 1324.24 = {x}^{2} + 100 \\ {x}^{2} = 139.24 - 100 \\ {x}^{2} = 39.24 \\ \sqrt{ {x}^{2} } = \sqrt{39.24} \\ x = \sqrt{39.24 } \\ x = 6.3[/tex]

now to find the area

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 20 \times 6.3 \\ \frac{20 \times 6.3}{2} \\ = \frac{126}{2} \\ 63 {cm}^{2} [/tex]

Solution :

Given :

Equation :

y = 6.3333 x + 53.0298

Here, x = number of hours studied

         y = the exam score

a). To predict the exam score, we have to replace x in the least square regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (2) + 53.0298

      = 65.6964

Thus he predicted exam score is 65.6964

b). The slope is the co-efficient of x in the least squares regression line :

  Slope = 6.3333

 The slope represents the average increase in y as x increases by 1.

  The exam score increases on average by 6.3333 points per hour studied.

c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :

  y = 6.3333 x + 53.0298        

 y = 6.3333 (0) + 53.0298

    = 53.0298

d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (5) + 53.0298

   y = 84.6963

Thus the average exam score of a student who studied 5 hours is 84.6963

Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.

The total cost T varies directly with the number of kilograms A of apples purchased. Apples cost $1.15 per kilogram.

True

Answer:

.12

Step-by-step explanation:

set up two ratios the same way  [tex]\frac{x}{y}[/tex]

[tex]\frac{4.8}{.09}[/tex] = [tex]\frac{6.4}{y}[/tex]

cross multiply and solve for y

4.8(y) = .09(6.4)

4.8y = .576

y = .12

9514 1404 393

Answer:

  C. -6 and -9

Step-by-step explanation:

For the polynomial to be zero, one or more of the factors must be zero. For the factors to be zero, we require ...

  x +6 = 0

  x = -6 . . . . . . subtract 6 from both sides of the equation

and likewise, ...

  x +9 = 0

  x = -9 . . . . . . subtract 9 from both sides of the equation

x = -6 or -9 will make the polynomial zero.

Answer:

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Distribute

6x - 2 >= 4x - 6

2x >= -4

x >= -2

Answer:

C. 1/3

Hope this helps!:)

Answer:

1/3

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

f(x) = -2/9x + 1/3

The slope is -2/9  and the y intercept is 1/3

Answer:

Step-by-step explanation:

x+x+40=2

+ 4 0

2x+31=1205

2x=1205-31

2x=1174

x=1174/2

x=587

leslie will hace 587 score and

jackson =587+31= 618

Answer:

Step-by-step explanation:

What are the units of the shapes? I will assume inches, but if that is not so leave a note.

Begin by adding the surface area of the 3 shapes.

V = 6*(100 + 226 + 300)

Now add them before multiplying by 6

V = 6* ( 626)                  

Multiply by 6

V = 3756 cubic inches.

Answer:

V = 3756 units^3

Step-by-step explanation:

Area 1 is 100units^2    multiply by 6

= 100 x 6 is 600units^3

Area 2 is 226units^2      think 5 x 225 = 1125 + 225 + 6

= 226 x 6 = 1356units^2

Area 3 is 300    

= 300 x 6 = 1800    think 3x6x100

Total volume is 600+1356+1800 = 3756 units^3

Answer:

"there is exactly one output for each input" is cotrrect

"the graph of a linear function" is correct

Step-by-step explanation:

9514 1404 393

Answer:

  1, 3, 5, 10

  r > 0

Step-by-step explanation:

The equivalent inequality is found by dividing both sides by 5:

  (5r)/5 > 0/5

  r > 0 . . . . . . . . . simplify

Then you can easily see that values of r greater than 0 will satisfy the inequality:

  r may be any of 1, 3, 5, 10

Answer:

y=-3x-5

Step-by-step explanation:

(-1, -2) (0, -5)

use slope formula

ΔY = (-5 – -2) = -3

ΔX = (0 – -1) = 1

m = -3

y=mx+b

-5 = -3(0)+b

b = -5

y=-3x-5