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Tanya [424]
2 years ago
6

Brian and his friends went to drive to the beach the beach is 80 miles away Brian drove at an average rate of 60 miles an hour h

ow long did it take Brian and his friends to arrive at the beach
Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
8 0

Answer:

80 minutes or 1 hour 20 min

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s -----> the speed in miles per hour

d ----> the distance in miles

t ----> he time in hours

so

s=\frac{d}{t}

solve for t

t=\frac{d}{s}

we have

s=60\ mi/h

d=80\ mi

substitute and solve for t

t=\frac{80}{60}

t=\frac{4}{3}\ h

Convert to minutes

t=\frac{4}{3}(60)=80\ min

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If there were 125 students in 5 buses what is the ratio of students to buses
enot [183]

Answer:

125:5

Step-by-step explanation:

obvious.

6 0
3 years ago
Solve the triangle.
saw5 [17]

Answer:

Step-by-step explanation:

because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A

so the first choice is out.

use the law of cosines to find b

b^{2} = a^{2} +c^{2} -2*a*c*cos(B)

b^{2} =1681+400-1326.787871

b^{2}= 754.21219

b= \sqrt{754.21219}

b= 27.46292

so the last choice looks good

5 0
2 years ago
Can someone check this one for me , thank you!
Rudik [331]

Answer:

C

Step-by-step explanation:

Using sum/difference to product identity

• sin x - sin y = 2 cos(\frac{x+y}{2}) sin (\frac{x-y}{2})

with x = 4Θ and y = 2Θ

Then

sin(4Θ) - sin(2Θ)

= 2 cos(\frac{4o+2o}{2}) sin(\frac{4o-2o}{2})

= 2cos(3Θ)sinΘ → C

8 0
3 years ago
If a1 = 8 and an = an-1 + 5 then find the value of a5.
Nimfa-mama [501]

Step-by-step explanation:

A1=8

A2=A1+5 plug 8 into A1 here. After getting the value, put into next equation. And repeat until you get A5

A3=A2+5

A4=A3+5

A5=A4+5

5 0
2 years ago
At an animal shelter, there are 15 dogs and 12 cats.
Bond [772]

Answer:

Dogs: 44.44 Cats: 55.556

Step-by-step explanation:

*this is <em>only </em>if you are allowed to use a calculator*

1. You have to add the total of the cats and dogs

Why? Here, let me put it this way. You have a test with two sections: math and science. If there are 2 Maths Questions and 2 Science questions, what percent of the test are math questions? You would not say 2/2 and say 100. You would say 2/4 because it is obvious. You do the same in this case but it is not as noticeable because you are dealing with bigger numbers.

15 + 12 = <u>27</u>.

2. Solve

<u>a. </u>There are 15 dogs and 12 cats that makes up 27 pets total.

So you have to do 12/27 for cats,

15/27 for dogs. The fractions equal one and It shows you how much of one is there compared to the total.

<u>b. </u><u><em>Simplify</em></u>

You can simplify these fractions:

for 12/27, divide the numerator and the denominator by 3.

You get 4/9

Divide 15/27 for dogs by 3 as well to get 5/9.

5+4 is 9, which means that I am doing the math correctly.

According to the calculator, 5/9 is 55.556, and 4/9 is 44.444

They should be accurate because there are more dogs than cats and the percentage for dogs are higher. Hence, this is correct.

Cats = 4/9 = 44.444%

Dogs = 5/9 = 55.556%

Hope this helps :)

-jp524

7 0
2 years ago
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