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lana66690 [7]
3 years ago
6

The Peterson's drove 562.5 miles in 12.3 hours. The Castillo's drove 353.6 miles in 8 hours. On average, who was driving at a fa

ster speed? Explain your reasoning

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0
Set up 2 proportions

562.5 over 12.3 = x over 1

and

353.6 over 8 = x over 1

then cross multiply both of them

12.3x = 562.5

and

8x = 353.6

then divide both of them

round
x = 45.73

and

x = 44.2

based on those answers the petersons were driving faster
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Solve the following equation. show work. x^2 + 10x = -25
SVEN [57.7K]

Step-by-step explanation:

x^2 + 10x = -25

x^2 + 10x + 25 = 0

(x+5)^2=0

x=-5

6 0
2 years ago
At the café Patty can choose to earn $12 per hour plus $100 starting bonus or $16 per hour with no starting bonus after how many
Alexxx [7]

Answer:

25 hours

Step-by-step explanation:

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2 years ago
What is the difference of the fractions? Use the number line to help find the answer
alisha [4.7K]

Answer:

-7/10

Explanation:

Given the expression

\frac{1}{2}-1\frac{1}{5}

We can rewrite the expression as:

\frac{1}{2}-\frac{6}{5}=\frac{5}{10}-\frac{12}{10}

The number line showing the location of the two numbers is attached below. Therefore:

\frac{5}{10}-\frac{12}{10}=-\frac{7}{10}

7 0
1 year ago
Consider the line through (-1, -4) and (1, 2).<br>  What is the slope (m) of the line?<br>​
zloy xaker [14]

Answer:

<u><em>3</em></u>

Explanation:

  • \bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}

\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}

  • Refine

<u><em>m = 3</em></u>

5 0
3 years ago
n parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m. What are the values of x and y? x = 10, y
seropon [69]

Answer:

The value of x = 11  and y = 2

Step-by-step explanation:

Given : parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m.

We have to find values of x and y.

Let P be the point of intersection of diagonals OM and LN.

In a parallelogram diagonal  bisects at right angles  and point of intersection divide diagonal in equal parts.

Thus, OP = MP and LP = PN

OP = MP , substitute the values, we get,

(2x-1) =  21

⇒ 2x = 22

⇒  x = 11

LP = PN , substitute the values, we get,

y + 3 = 3y -1

⇒  3y - y = 4

⇒  2y = 4

⇒ y = 2  

Thus, the value of x = 11  and y = 2


8 0
3 years ago
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