Paul's family drove 377 miles to the beach averaging 58 mi/h on the way there. On the return trip home, they averaged 65 mi/h. What was the total time Paul's family spent driving to and from the beach?

A.
11.3 h

B.
11.6 h

C.
12.3 h

D.
13 h

Answers

Answer 1
Answer: The answer would be 12.3 i hope this helps=)
Answer 2
Answer:

Answer:

12.3

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that 12.3 is the correct answer.


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A triangle with 50 cm, 15 cm, 50 cm, and 22° is what type of triangle?

How do you do this problem?

Answers

The pythagorean theorem states that a² + b² = c². 
We have a = 10 and c = 20. 
100 + b² = 400 
Subtract 100 from each side. 
b² = 300 
Get the square root of 300. 
It could be expressed as b ≈ 17.321, or could stay in radical form as√(300)
Hope this helps!

Evaluate 50 + 0.5 ×(41 - 32)

Answers

To solve this expression, we need to follow the order of operations (BEDMAS)

50+0.5(41-32)
=50+0.5(9)
=50+4.5
=54.5

Your answer is 54.5

Solve the equation
5(-4a+8)-5(6a-5)=15

Answers

Step 1: Simplify both sides of the equation.

5(−4a+8)−5(6a−5)=15

(5)(−4a)+(5)(8)+(−5)(6a)+(−5)(−5)=15

−20a+40+−30a+25=15

(−20a+−30a)+(40+25)=15

−50a+65=15

−50a+65=15

Step 2: Subtract 65 from both sides.

−50a+65−65=15−65

−50a=−50

Step 3: Divide both sides by -50.

-50a/-50=-50/-50

Therefore, the answer would be a=1.

We can factor 5 at the left hand side:

5[(-4a+8)-(6a-5)]=15

Divide both sides by 5:

(-4a+8)-(6a-5)=3 \iff -4a+8-6a+5 = 3

Sum like terms:

-10a+13=3

Subtract 13 from both sides:

-10a=-10

Divide both sides by -10:

a=1

Combine the like terms to simplify the expression:9 + 3 + 17xy^2 + 8y^3 + 10x –13xy^2 – 9x – 6y^3

Answers

the llike terms are {17xy^2, -13xy^2} {9, 3} {8y^3, -6y^3} {10x, -9x} first combine 9 and 3 now your new equation is 12 + 17xy^2 + 8y^3 + 10x –13xy^2 – 9x – 6y^3 then add 17xy^2 and -13xy^2 your new equation is 12 + 4xy^2 + 8y^3 + 10x – 9x – 6y^3 now combine 8y^3 and 6y^3 your new equation is 12 + 4xy^2 + 2y^3 + 10x – 9x now combine 10 and -9x and your answer is 12 + 4xy^2 + 2y^3 + x
9 + 3 + 17xy^(2) + 8y^(3) + 10x - 13xy^(2) - 9x - 6y^(3)

1) First, we have to start simplifying the algebraic symbols.

2) We have to separate those from the normal numbers.

3) There will be different types of algebraic symbols : group the similar ones and start simplifying.

-\ \textgreater \17xy^(2) - 13xy^(2) + 8y^(3) - 6y^(3) + 10x - 9x + 9 + 3

=> 4xy^(2) + 2y^(3) + 1x + 12

Angle S is 90 degrees and angle T is 45 degrees. side ST is 3 ft. how long is side SU

Answers

ANSWER

|SU|=3ft

EXPLANATION

Triangle TSU is an isosceles right triangle.

Because one of the angles in the right triangle is 45°.

This means that the third angle is also 45°.

This implies that that |ST|=|SU|

The reason is that isosceles triangle has the base angles equal and the arms on these angles are equal.

If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

Answers

Answer:

g(x)=x+1

The problem:

Find g(x) if h(x)=(f \circ g)(x),

h(x)=\sqrt[3]{x+3}, and

f(x)=\sqrt[3]{x+2}.

Step-by-step explanation:

h(x)=(f \circ g)(x)

h(x)=f(g(x))

Replace x in f(x)=\sqrt[3]{x+2} with g(x) since we are asked to find f(g(x)):

\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}

\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}

This implies that x+1=g(x)

Let's check:

(f \circ g)(x)

f(g(x))

f(x+1)

\sqrt[3]{(x+1)+2}

\sqrt[3]{x+1+2}

\sqrt[3]{x+3}  which is the required result for h(x).