All categories

3 years ago

It took Ivan 7.5 hours to drive 412.5 miles. How fast was he driving?

1 answer:

6 0

Since the question is asking how fast he is driving, we need to find his speed in miles per hour. To do this, you need to divide the amount of miles he drove by the amount of hours it took. When you do 412.5/7.5, you get the answer of 55 miles per hour.

You might be interested in

The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

3 years ago

ABCD is a parallelogram. Which statements are true?

jekas [21]

Answer:

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

<em>If this helped you please rate </em>

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

<u />

5 0

3 years ago

Jena's income is $1600 a month, and she plans to budget 1/3 of her income for rent and 1/8 of her income for groceries. Step 2 o

WARRIOR [948]

Answer:

Jena spends $ 733. 33 on her rent and groceries altogether per month.

Step-by-step explanation:

Jena's total income in a month= $1600

Here , expenditure on rent = (1/3) of her income

So, now one- third of her income $1600 is

= $\frac{1}{3} \times 1600 = 533.33$

or, (1/3) of her salary is $533. 33

Hence, Jena spends $ 533. 33 on her rent monthly.

Now, her expenditure on groceries = (1/8) of her income

So, now one- eighth of her income $1600 is

= $\frac{1}{8} \times 1600 = 200$

or, (1/8) of her salary is $ 200.

Jena spends $ 200. on her groceries monthly.

So, Total expenditure = Expenditure on rent + Expenditure on groceries

= $533. 33 + $200 = $733.33

Hence, Jena spends $ 733. 33 on her rent and groceries altogether per month.

7 0

3 years ago

Give an example of a function with a domain of (-∞,0).

pishuonlain [190]

Answer:

The one to the right

Step-by-step explanation:

7 0

3 years ago

Carlita is flying a kite at the beach. She wants to know the altitude of the kite when she uses 25 yards of string at an angle o

dangina [55]

Answer:

Step-by-step explanation:

13.98

7 0

2 years ago