Mr. Cruz fills a 3-gallon water cooler for a family picnic. He brings plastic cups that each hold 12 fluid ounces of water. How many plastic cups can Mr. Cruz completely fill with the water from the cooler?

Answer:

60 cm²

Step-by-step explanation:

The shaded area is calculated as

area of trapezium - area of white triangle

The area (A) of trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h( b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 12, b₁ = 14 and b₂ = 10 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 10) = 6 × 24 = 144 cm²

The area (A ) of the white triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 14 and h = 12

A = [tex]\frac{1}{2}[/tex] × 14 × 12 = 7 × 12 = 84 cm²

shaded area = 144 - 84 = 60 cm²

Answer:

-6, -2, 0, 4, 8

Step-by-step explanation:

Answer:

(x+1) (x+1)

Step-by-step explanation:

Answer:

There are no like terms.

Its still x2+2x+1

Step-by-step explanation:

Answer:

5/8= .625

Step-by-step explanation:

Answer:

5:8

Step-by-step explanation:

N/A

Answer:

a.

Step-by-step explanation:

-1230<-220

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Lmk

Answer: IT's asking for you to put the letter of the shapes next to they're name

Step-by-step explanation:

Answer:

m=-11

Step-by-step explanation:

All you have to do is subtract 3 from both sides and you get -11!

I hope this helps and have a great day!

Answer:

-11 is the answer.

Step-by-step explanation:

Answer:

both

Step-by-step explanation:

The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd.

Answer:

Hopefully, you can see the attachment. It's all on there but the "if" portion

Answer:

40 ounces

Step-by-step explanation:

a pound is 16 ounces so 2 and a half is 40 ounces

Answer:

C

Step-by-step explanation:

Answer:2+3p ≥ 20

Step-by-step explanation:

2 is the amount of points he earned

3 is how many rounds were left before finals

p is the additional points he earned

and ≥ 20 is he had to earn greater than or equal to 20 points total to move on.

hope this helps :}

Answer:

F(2)?

Step-by-step explanation:

Let width of the rectangle be x.

Therefore ,Length= 3 + 2x

Area= 35

(3+2x)* x =35

3x + 2x^2 - 35 = 0

(2x-7)(x+5)

Therefore x=3.5

Length is 10 and Width is 3.5

Answer:

Area = length × width

90 = (3+2w) × w

w(2w + 3) = 90

2w² +3w = 90

2(w² +3/2w) = 90

Divide both sides by 2

2(w² +3/2w)/2 = 90/2

w² + 3/2w = 45

w² + 3/2w + (3/2•2)² = 45 + (3/2•2)²

w² + 3/2w + (3/4)² = 45 + (3/4)²

w² + 3/2w + 9/16 = 45 + 9/16

(w + 3/4)² = 729/16

Take the square root of both sides

√(w + 3/4)² = √729/16

w + 3/4 = 27/4

w + 3/4 -3/4 = ±27/4 - 3/4

w = 27/4 - 3/4 w = -27/4 - 3/4

w = 6m w = -7.5m

Area = length × width

90 = l × 6m

when x = 6m when x = -7.5 m

l = 90 m²/6m l = 90 m²/-7.5m

l = 15 m l = -12m

We cannot have negative dimension so

A = 90m²

l = 15m

w = 6m

Step-by-step explanation:

Answer:

The first term is 3 and common difference is 8.

And

The formula for sequence is: [tex]a_n = -5+8n[/tex]

Function is: [tex]f(n) = f(n-1)+8[/tex]

Step-by-step explanation:

Given that

[tex]a_4 = 27\\a_8 = 59[/tex]

The general formula for arithmetic sequence is:

[tex]a_n = a+(n-1)d[/tex]

Here

a is the first term

n is the term number

and d is the common difference

for 4th term

[tex]a_4 = a+(4-1)d\\27 = a+3d\ \ \ Eqn\ 1[/tex]

For 8th term

[tex]59 = a+ (8-1)d\\59= a+7d\ \ \ \ \ Eqn\ 2[/tex]

subtracting equation 1 from equation 2

[tex]59-27 = a+7d-(a+3d)\\32 = a+7d-a-3d\\32 = 4d\\d =\frac{32}{4}\\d = 8[/tex]

Putting d = 8 in equation 1

[tex]a+3d = 27\\a+3(8) = 27\\a+24=27\\a = 27-24\\a = 3[/tex]

Now for the function

[tex]a_n = a+(n-1)d\\a_n = 3+(n-1)(8)\\a_n = 3 + 8n-8\\a_n = -5+8n[/tex]

The sequence can also be expressed as a function as:

[tex]f(n) = f(n-1) + 8[/tex]

Hence,

The first term is 3 and common difference is 8.

And

The formula for sequence is: [tex]a_n = -5+8n[/tex]

Function is: [tex]f(n) = f(n-1)+8[/tex]

Answer:

1

Step-by-step explanation:

answer

Answer:

-13/4

Step-by-step explanation:

Look for the LCM of both which is 4. 4÷1 ×-4 which is -16

then 4 divided by 4 which is 1 then × 3 which is 3.

now (-16+3)/4 to have -13/4

Answer:

the answer is 143

Step-by-step explanation:

just do 168 - 25 equals 143 , I'm sorry if I got this wrong I'm going based off what my 10th grade math teacher are taught me

Answer:

0.8*​x*​(‑5)/​7

Step-by-step explanation:on the qraph

Answer:

156!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

2 y

3x²

Step-by-step explanation:

4xy³

6x³y²

lowest term 4 and 6

Rule on dividing exponents: subtract them

Answer:

x=16/5

y=1

Step-by-step explanation:

To find the x, substitute in 0 for y and solve for x.

0=10x−32

Solve the equation.

Rewrite the equation as 10x−32=0

Add 32 to both sides of the equation.

10x=32

Divide each term by 1010 and simplify.

10x/10=32/10

x=32/10=16/5

2x+7y=3

2(-4y)+7y=3

-8y+7y=3

-y=3

Answer:

x=5

Step-by-step explanation:

The sum of the measures of angle M and angle R is 90°

Given;

•Angle M is (5x+10)°

•Angle R is 55°

The value of x therefore is;

Measure of Angle M + Measure of Angle R = 90°

(5x+10°)+55°=90°(Remove bracket)

5x+10°+55°=90°

5x+65°=90°

5x=90°-65°

5x=25(Divide both sides by 5)

x=5

Therefore the value of x=5

Answer:

$22.82. Explanation: There are 45 total shirts and visors needed, for the 43 players and 2 coaches. So divide each of the total costs by 45 , to see how much each individual person pays:

SHIRT:

658.38/45 =$14.63 per person

VISTOR:

368.51/45 =$8.19per person

Each person is buying a shirt and a visor, so combine these two prices:

14.63+8.19=$22.82per person.

Answer:

i believe it would be 122 pounds if every steak is the same weight

Step-by-step explanation:

simple math

Answer:

$122

Step-by-step explanation:

6.10 x 20=122

Answer:

Y=mx+b

Step-by-step explanation:

That is the equation to solve for your answer