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Mashutka [201]
3 years ago
13

Please help, lots of points thirty seven

Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

reflective

Step-by-step explanation:

best guess

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In math class the girl to boy ratio is 8 to 6 if there are 24 girls in the class , how many boys are there ?
Volgvan

Answer:  The required number of boys in the class is 18.

Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.

We are to find the number of boys in the class.

Let 8x and 6x represents the number of girls and boys in the class.

Then, according to the given information, we have

8x=24\\\\\Rightarrow x=\dfrac{24}{8}\\\\\Rightarrow x=3.

Therefore, the number of boys in the class is given by

6x=6\times3=18.

Thus, the required number of boys in the class is 18.

7 0
3 years ago
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to
Ronch [10]

Answer:

The return trip take 5 minutes 27 seconds

Step-by-step explanation:

Let

x -----> the time it take the cheetah travels to go from its resting place to a rock near a river in hours

y ----> the time it take the cheetah the return trip to its resting place in hours

we know that

The distance from its resting place to a rock near a river is the same that the return trip

The average speed multiplied by the time is equal to distance

so

The total time is 15 minutes

Convert to hours

15 min=15/60 hours

x+y=(15/60)

x+y=1/4

4x+4y=1 -----> equation A

40x=70y ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point ( 0.1591,0.0909)

see the attached figure

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The time it take the cheetah the return trip to its resting place is 0.0909 hours

Convert to minutes and seconds

0.0909 hours=0.0909(60)=5.454 minutes

o.454 minutes=0.454(6)=27.24 seconds

therefore

The return trip take 5 minutes 27 seconds

<u><em>To the river</em></u>

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The rate is 40 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance from its resting place to a rock near a river is

d_1=40x=40(0.1591)=6.36\ miles

<u><em>From the river</em></u>

The time it take the cheetah the return trip to its resting place is 0.0909 hours

The rate is 70 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance of the return trip is

d_2=70x=70(0.0909)=6.36\ miles

Both distances are the same

8 0
3 years ago
Select the letter of the correct answer.
babymother [125]

Answer:

D $11.63

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the area of the parallelogram?
Thepotemich [5.8K]

Answer:

300 cm²

Step-by-step explanation:

Area of Parallelogram = base X height

area = 15 X 20

area = 300 cm²

6 0
3 years ago
Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administrati
frosja888 [35]

Answer:

h less-than 2

Step-by-step explanation:

Let

h ---> the number of hours

y ---> the total charge in dollars

we know that

The linear equation is slope intercept form is equal to

y=mh+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

we have

<em>Grayson</em>

The slope is equal to m=\$35\ per\ hour

The y-intercept is b=\$35

so

The total charge is equal to

y=35h+35 ----> equation A

<em>Ian</em>

The slope is equal to m=\$45\ per\ hour

The y-intercept is b=\$15

so

The total charge is equal to

y=45h+15 ----> equation B

For what number of hours does Grayson charge more than Ian?

The inequality that represent this situation is

35h+35 > 45h+15

solve for x

Group terms

35-15 > 45h-35h

20 > 10h

Divide by 10 both sides

2 > h

Rewrite the expression

h< 2\ hours ----> h less than 2 hours

6 0
3 years ago
Read 2 more answers
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