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mestny [16]
3 years ago
14

What’s the distance for someone that drove 60 miles for 12 hours

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

Answer:

720 miles.

Step-by-step explanation:

Going 60 miles per hour for 12 hours would amount to driving 720 miles in total.

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A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST
mrs_skeptik [129]

Answer:

32

Step-by-step explanation:

77 quarters and dimes

q + d = 77

subtract q from both sides

d = 77 - q

---------------------------

A collection of  quarters and dimes is worth $12.50 (1250 cents)

25q + 10d = 1250

substitute for d

25q + 10(77 - q) = 1250

distribute

25q + 770 - 10q = 1250

Combine like terms

15q + 770 = 1250

subtract 770 from both sides

15q = 480

divide both sides by 15

q = 32

3 0
3 years ago
The length of one leg of a right triangle is 7 cm more than that of the other leg. The length of the hypotenuse is 3 cm more tha
Lady bird [3.3K]

Answer:

The lengths are 5, 12, and 13.

Step-by-step explanation:

Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.

The Pythagorean Theorem may be used to find the lengths.

a^{2} + b^{2} = c^{2}  a, b are the short and long lengths and c is the hypotenuse

→ x^{2} + (x+7)^{2} = (2x+3)^{2}

→ x^{2} + x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} - 2x - 40 = 0

→ x^{2} - x - 20 = 0

→ (x-5)(x+4) = 0

→ x = 5 (The length cannot be negative)

The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.

6 0
3 years ago
Which relation is a function?<br> Please help
s344n2d4d5 [400]

Answer: the bottom right one

Step-by-step explanation:

you can put your pencil like this   I  and follow the line without two parts touching the line (vertical line test)

8 0
4 years ago
What is 1/7^9 × 1/7^-6
artcher [175]
\bf \cfrac{1}{7^9}\cdot \cfrac{1}{7^{-6}}\implies \cfrac{1\cdot 1}{7^9\cdot 7^{-6}}\implies \cfrac{1}{7^{9-6}}\implies \cfrac{1}{7^3}\implies \cfrac{1}{343}
5 0
3 years ago
Can anyone help me solve this.I need proper equation..Thanks​
artcher [175]

Answer:

y = 9\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} }

sin45° = \frac{opposite}{hypotenuse} = \frac{9}{y}

Multiply both sides by y

y × sin45° = 9, that is

y × \frac{1}{\sqrt{2} } = 9

Multiply both sides by \sqrt{2}

y = 9\sqrt{2}

3 0
4 years ago
Read 2 more answers
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