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Answer:

Justin drove 90 miles in 3 hours.

Step-by-step explanation:

Given that:

Justin drives 7.5 miles in 15 minutes.

Speed of Justin = [tex]\frac{7.5}{15}[/tex]

Speed of Justin = 0.5 miles per minute

For speed in hours, we will multiply by 60

Speed of Justin = 0.5 * 60 = 30 miles per hour

Distance covered in 3 hours = 30 * 3 = 90 miles

Hence,

Justin drove 90 miles in 3 hours.

The total distance covered by Justin at the same rate is equal to 90 miles.

Given the following data:

Conversion:

1 hour = 60 minutes

3 hours = 180 minutes

To determine the total distance covered by Justin at the same rate:

First of all, we would calculate the rate of Justin's speed as follows:

[tex]Speed =\frac{distance}{time} \\\\Speed =\frac{7.5}{15}[/tex]

Speed = 0.5 miles per min.

For the total distance:

[tex]Total\;distance = speed \times total\;time\\\\Total\;distance = 0.5 \times 180[/tex]

Total distance = 90 miles.

Read more: https://brainly.com/question/10545161

Answer:

Tyler practiced piano = 48 minutes

Step-by-step explanation:

Missing;

Hen practiced piano = 75 minutes

Given:

Tyler practiced piano = 64 % of Hen

Find:

How long Tyler practiced

Computation:

Tyler practiced piano = 64 % of Hen

Tyler practiced piano = 64 % x 75

Tyler practiced piano = 48 minutes

Answer:

X-4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

-5a+3b

Step-by-step explanation:

-5a+3b Combine like terms

Answer:

The tree's shadow is 20 ft long.

Step-by-step explanation:

If you take 6 and 15 and turn it into a fraction 6/15 and take 8 and the missing value (x) and turn that into a fraction 8/x, then you can move to the multiplication.

6/15 *8/x = 6x=120/6

120/6=20

Hope this helps :)

Answer:

-4 and 0

Step-by-step explanation:

Rise over Run would give us the slope.

In the first graph, It goes down 4 while it goes 1 to the right.

This means that -4/1 = -4.

The second graph does not go up or down, meaning 0, while it goes 1 to the right.

This means that 0/1 = 0.

Answer:

2x + 49 = -8 (-x-5)

x=-57/2

x=-28.5

because if you substitute x for 28.5, it makes it equal

Step-by-step explanation:

Hope I Helped!!!

Answer:

Please check explanations

Step-by-step explanation:

Using the difference of two squares, the lowest common multiple becomes;

1-sin^2 a

Thus, we have that;

cos a (1-sin a) + cos a (1 + sin a) /1 - sin^2 a

1 - sin^2 a = cos^2 a

That means;

{cos a - cos a sin a + cos a + cos a sin a}/ cos^2 a

= 2cos a / cos^2 a

= 2/cos a

but 1/cos a = sec a

Thus;

2/ cos a = 2 sec a

Answer:

x = -9

Step-by-step explanation:

x • -10 = 90

x = 90/-10

x = -9

Hope this helped! <3

D. Multiply the top equation by 2.

Answer:

D

Step-by-step explanation:

Given the 2 equations

8x + 3y = 2 → (1)

4x - 6y = - 7 → (2)

Multiplying the top equation (1) by 2 and adding to (2) will eliminate y

16x + 6y = 4 → (3)

Add (2) and (3) term by term to eliminate y

20x + 0 = - 3

20x = - 3 ( y has been eliminated )

Answer:

$.14 is the answer :)

Step-by-step explanation:

.84/6=.14

Answer:

$0.14

Step-by-step explanation:

0.84÷6=0.14

Answer: 43 3/4

Step-by-step explanation:

Reduce means simplify

43.75= 43 75/100

you can dive each side of 75 and 100 by 5

it will get you to 43 15/20

again it is not reduced dived by five once more

it will get you to 43 3/4

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

Answer:

100(0.5)^X/7

Step-by-step explanation:

That is how you would put it ;)

Answer:

a=2

b=0

c=12

Step-by-step explanation:

The standard form of a quadratic equation is ax²+bx+c=0

Here's the given equation:

2x²+12=0

You might notice that the term bx is not there (there is just ax² and c). That means that b is 0.

The term 2x² is the term ax² in this equation. The coefficient in the term is 2, so that means that a is 2

12 has no variable, so that means it'll be c in the equation.

Hope this helps!

Answer:

Angle a=45, Angle b=45

Step-by-step explanation:

The angles are complementary angles which means they both add up to 90 degrees.  And if angles a and b are equal then its 90/2 which is 45.

Answer:

It is the 3rd answer, 1/5³. I checked. Happy to help. Brainliest would be thanking.

Answer:

Solution in photo

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

12% of 75 would be 9

9

Step-by-step explanation:

12/ 100 × 75

3/ 25 × 75

75/ 25 = 3

3 × 3 = 9

hope it helps!

Answer: de

Step-by-step explanation:

Answer:

middle / centre

Step-by-step explanation:

Each point is the same distance to the middle of a polygon

hope this helps....

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

Answer:

The sale price would be $80.00

Step-by-step explanation:

1/3 (33%) of $120 is $40.

$120 - $40 = $80

Answer: 8 1/20 or 8.05.

Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.