All categories

4 years ago

Sophie drove 162 miles in 3 hours. on average, how fast did she drive in hours per mile

Mathematics

1 answer:

eimsori [14]4 years ago

5 0

In this question, we're trying to find how many miles Sophie can drive in an hour.

We know that she drove 162 miles in 3 hours.

With the information above, we can find our answer.

We need to see how much she drives in 1 hour, so you would divide 162 by 3.

162 ÷ 3 = 54

This means that she drives 54 mph.

Answer:

54 mph

You might be interested in

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

4 years ago

ASAP<br> -WILL MARK BRIANIST

Thepotemich [5.8K]

Answer:

C and D

Step-by-step explanation:

C and D are the answers because when you simplify D which is 95/100 × 6 you get 0.95×6 which is the same thing as c

8 0

3 years ago

Write and equation and solve it

Vedmedyk [2.9K]

Answer: he have saved $500? ... the question. Does your answer make sense? ... Solve the following problems and show all your work. (Remember to use the 5 steps for solving two-step equation word problems!) | 1. ... Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints.

Step-by-step explanation:

6 0

3 years ago

Show that <br><br> 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16

anygoal [31]

Step-by-step explanation:

$4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37$

$R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}$

4 0

3 years ago

Question 4 help please

IgorC [24]

I would say about 40%

6 0

3 years ago

Read 2 more answers