Evaluate 4 + [ 7

the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10

Pani-rosa [81]

Answer:

The distance the Bensons had traveled from their home $3\frac{1}{2}$ hours after picking up their grand parents 292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = $3\frac{1}{2}$ hours, we get;

$d = 55 \times 3\frac{1}{2} + 100 = 292.5 \ miles$

Therefore, the distance the Bensons had traveled from their home $3\frac{1}{2}$ hours after picking up their grand parents = 292.5 miles.

7 0

3 years ago

Which of the following is the solution of 5x – 6 = 44?

nata0808 [166]

Answer:

x = 10

Step-by-step explanation:

5x - 6 = 44

Add 6 on both sides of the equation.

5x = 50

Divide by 5 on both sides of the equation.

x = 10

So, the value of x is equal to 10

7 0

2 years ago

Read 2 more answers

I will give brainliest to correct answer

FromTheMoon [43]

Answer:

D

Step-by-step explanation:

If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as

p(x)/x+k = q(x) + r/x+k

where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes $x^{1}$ and no higher exponents), the remainder is a real number.

Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.

The question states that p(3) = −2, so it must be true that

−2 = p(3) = (3+k)q(3) + r

Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.

A. −2=p(3)=(3+(−5))q(3)+0

−2=(3−5)q(3)

−2=(−2)q(3)

This could be true, but only if q(3)=1

B. −2=p(3)=(3+(−2))q(3)+0

−2=(3−2)q(3)

−2=(−1)q(3)

This could be true, but only if q(3)=2

C. −2=p(3)=(3+2)q(3)+0

−2=(5)q(3)

This could be true, but only if q(3) = −2/5

D. −2=p(3)=(3+(−3))q(3)+(−2)

−2=(3−3)q(3)+(−2)

−2=(0)q(3)+(−2)

This will always be true no matter what q(3) is.

Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.

The final answer is D.

6 0

3 years ago

5/6 is equivalent to a percent that is larger than 100%. <br><br> True or False<br><br> 13 pts.

omeli [17]

I think it's false.... 5/6 is 83.33% as a percent so I don't think it's true.

8 0

2 years ago

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What is the sum of 7 3/16+3/4

muminat

Answer:

7 15/16

Step-by-step explanation:

find the same denominator which is 16

3/4x4/4 = 12/16

7 3/16+12/16= 7 15/16

probably bad explanation but hope it helps.. :)

5 0

2 years ago

Read 2 more answers

Evaluate 4 + [ 7 - 5 ] ^ 4