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3 years ago

6

At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of s

yrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there?
Please explain for brainliest.

1 answer:

11111nata11111 [884]3 years ago

8 0

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

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An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)$

step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

$d=\sqrt{(20-20)^{2}+(4-18)^{2}}$

$d=\sqrt{(0)^{2}+(-14)^{2}}$

$AB=14\ ft$

step 2

Find the distance BC

we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

$BC=16\ ft$

step 3

Find the distance DE

we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$DE=10\ ft$

step 4

Find the distance AE

we have

$A(18,20),E(22.10)$

substitute in the formula

$d=\sqrt{(10-20)^{2}+(22-18)^{2}}$

$d=\sqrt{(-10)^{2}+(4)^{2}}$

$d=\sqrt{116}$

$AE=10.77\ ft$

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

so

$A=(AB+BC+DE+AE)h$

substitute the given values

The height of the walls is 10 ft

$A=(14+16+10+10.77)10$

$A=(50.77)10$

$A=507.7\ ft^2$

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

$\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal$

Round up

$x=2\ gal$

5 0

3 years ago

A wheel has a radius of 10 cm. Approximately how far does it travel in 3 revolutions?

Doss [256]

It will travel 7.5 cm a revolution and 7.5 x 3 wound = your answer i believe
lol i hate geomatry

5 0

3 years ago

Which system of equations is represented by the matrix below? 1 5 11 4 -6-3 A. y + 5x = 11 4y - 6x = -3 B. X+ 5y = 11 4x - 6y =

Vitek1552 [10]

Answer: Choice B

$x+5y = 11\\4x-6y = -3$

=====================================

Explanation:

The given matrix is

$\left[\begin{array}{cc|c}1&5&11\\4&-6&-3\end{array}\right]$

The numbers to the right of the vertical bar represent the values on the right hand side of each equation in the final answer.

The numbers to the left of the bar represent the x and y coefficients of the equations. The first number of any given row is the x coefficient. The second number is the y coefficient.

For instance, the first row has $\begin{array}{cc}1&5\end{array}$ to indicate the x coefficient is 1, and the y coefficient is 5. We end up with 1x+5y or simply x+5y. Putting everything together, the first equation would be x+5y = 11

Through similar steps, the second equation is 4x-6y = -3

3 0

3 years ago

Just making sure I got this right.

Eva8 [605]

There's nothing answered in that.

8 0

3 years ago

Sammy bought a pair of shoes priced at $47.99. The sales tax was $2.88.Sammy gave the clerk $60.00. How much money should he get

artcher [175]

$47.99+$2.88=$50.87 (total cost)

$60.00-$50.87=$9.13

he should get back $9.13

5 0

3 years ago

Read 2 more answers