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3 years ago

Will mark brainliest if correct answer

Mathematics

2 answers:

Vitek1552 [10]3 years ago

6 0

Answer:

The answer is 120

Step-by-step explanation:

olga_2 [115]3 years ago

6 0

Answer:

144

Step-by-step explanation:

The way to figure this out is to count how many units there are across(6), down(4), and deep(6), and multiply them together

6 x 6 x 4 = 144

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Luke’s basketball team went to an amusement park at the end of the season. The cost of the admission for 5 coaches and 12 player

Finger [1]

Answer:

The admission cost for each player was 22.50.

Step-by-step explanation:

Given:

Luke’s basketball team went to an amusement park at the end of the season.

The cost of the admission for 5 coaches and 12 players was 407.50.

The admission cost for each coach was 27.50.

Now, to find the admission cost for each player.

Total admission cost = 407.50.

Number of coaches = 5.

Admission cost for each = 27.50.

So, the cost of admission of all coaches:

$27.50\times 5$

$=137.50.$

Then, we deduct the cost of admission of all coaches from the total admission cost:

$407.50-137.50$

$=270.$

Remaining cost = 270.

Number of player = 12.

Now, to get the admission cost for each player we divide the remaining cost by number of players:

$270\div 12$

$=22.50.$

Therefore, the admission cost for each player was 22.50.

7 0

3 years ago

A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

Find the area of the garden

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^2+60x-75=0$

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

8 0

3 years ago

If f(x) =3x-2 find f-1(x)

saw5 [17]

Answer:

Step-by-step explanation:

f(-1)= -3(-1) -2

f-1)=1

7 0

3 years ago

A shampoo company recently paid a consulting firm to produce a study to determine if using their product resulted in cleaner hai

V125BC [204]

You can’t record how clean someone’s hair is it depends on how they wash it and they probably wash it different every time. You could measure how dry their hair is after using that certain company’s shampoo.

8 0

4 years ago

Read 2 more answers

G(x)=10x+8. What is the value of g(5)?

kenny6666 [7]

5(x)=10x+8 so x is equal to -3

7 0

2 years ago