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3 years ago

A car travels at an average speed of 68 miles per hour. how many miles does it travel in 5 hours and 15 minutes?

Mathematics

1 answer:

blagie [28]3 years ago

5 0

Distance = rate times time. Thus,

d = (68 mph) (5.25 hrs) = 357 miles (answer)

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Another one: (12 - 7.5) - 7

mixas84 [53]

Answer:

-2.5

Step-by-step explanation:

Plugged into calculator

5 0

3 years ago

Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.

Olin [163]

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or Combine Like Terms

5. 7x = 105 --> by C.L.T. or Combine Like Terms

6. x = 15 --> by inverse operations (division)

Hope this helps!

8 0

3 years ago

Please help me with this question pls, I really need help

Inessa [10]

Answer: x=7, y=-23
(7,-23)

Explanation:

4 0

2 years ago

Can you guys check these :) I’ll give brainleist :)

stiv31 [10]

Answer:

9. No

10. Yes

Step-by-step explanation:

The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.

The second one is since every x appears only once.

8 0

2 years ago

Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year e

Jobisdone [24]

Answer:

The total amount received is: $1906650

Step-by-step explanation:

Given

$a = \$57000$ --- initial

$b = 1\%$ --- rate

$n = 29$ --- time

Required

Determine the total amount at the end of 29 years

The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms

Where $n = 29$

$r = 1 + b$

$r = 1 + 1\%$

Express percentage as decimal

$r = 1 + 0.01$

$r = 1.01$

The required is the calculated using:

$S_n = \frac{a(r^n - 1)}{r - 1}$

So, we have:

$S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}$

$S_n = \frac{57000 * (1.3345- 1)}{0.01}$

$S_n = \frac{57000 * 0.3345}{0.01}$

$S_n = \frac{19066.5}{0.01}$

$S_n = 1906650$

The total amount received is: $1906650

8 0

3 years ago