MATHEMATICS MIDDLE SCHOOL

| 15. Aliyah runs approximately 5.4 miles per hour.She is training for a half-marathon and plans
to run 9 miles on Tuesday and 12 miles on
Thursday. How many minutes longer will her
run be on Thursday compared to Tuesday?

Answers

Answer 1
Answer:

Answer: 33.33 minutes longer.

Step-by-step explanation :

We need to remember the following formula:

 t=(d)/(V)

Where "t" is the time, "d" is the distance and "V" is the speed.

We know that she runs approximately 5.4 miles per hour, then:

V=5.4\ (mi)/(h)

Since she plans to run 9 miles on Tuesday, her run's time on Tuesday will be:

t_1=(9\ mi)/(5.4\ (mi)/(h))\n\nt_1=(5)/(3)\ h

Making the conversion from hours to minutes, we get:

((5)/(3)\ h)((60\ min)/(1\ h))=100\ min

Since she plans to run 12 miles on Thursday, her run's time on that day will be:

t_2=(12\ mi)/(5.4\ (mi)/(h))\n\nt_2=(20)/(9)\ h

Making the conversion from hours to minutes, we get:

((20)/(9)\ h)((60\ min)/(1\ h))=133.33\ min

Finally in order to find how many longer will her run be on Thursday compared to Tuesday, we need to make the following subtraction:

t_2-t_1=133.33\ min-100\ min=33.33\ min

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A.
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B.
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Answers

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At a deli 56 sandwiches were sold during lunchtime. Twenty five percent of the sandwiches sold were tuna salad sandwiches. How many of the sandwiches sold were tuna.

Answers

Answer:

50%

20%

30%

Step-by-step explanation:

Its in order I got this question right :) Have a nice day!
There were 14 tuna Sandwiches

350/100 as a decimal and a percentage

Answers

Decimal: 3.5 350 divided by 100 = 3.5 Percentage: 350% Move the decimal 2 times to the right 3.5 -> 350 Add a percent sign

What type of figure is this supposed to be?

Answers

The shape is a Hexagonal pyramid

A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true?The ratio of footballs to basketballs is 2:5.


If a total of 35 footballs and basketballs were sold, 10 of them were footballs.


There were 5 footballs sold for every 2 basketballs.


The ratio of basketballs to footballs is 5:2.

Answers

C. There were 5 footballs sold for every 2 basketballs. to check just multiply 2 times 2.5 and you get 5. Hope this helped
x=number of footballs
y=number of basketballs.
then:
x=2.5y
The ratio of footballs to basketballs would be:  x/y=2.5=5/2
The ratio of basketballs to footballs would be:   y/x=1/2.5=2/5

Then: 
if x=5;  
x=2.5y
5=2.5y
y=5/2.5=2

Therefore:
The only one true statement would be:


Answer: There were 5 footballs sold for every 2 basketballs. 

System of equations
X+3y=73
X+y=27

Answers

Steps:
1. Change x + y= 27 into y=mx+ b form
2. Subtract x on both sides
Y= -x + 27
3. Substitute the y in x + 3y= 73 for -x + 27

X + 3(-x + 27) = 73
X + -3x + 81= 73
-2x + 81= 73
4. Now subtract 81 on both sides
-2x=-8
5. X= 4
6. Now solve for y
7. Now substitute the x in x + y= 27 for 4
8. 4 + y= 27
9. Subtract 4 on both sides
10. Y= 23
11. Your answer is: x= -4 and y= 23 or (-4,23)
x+3y=73
x+y=27

Multiply the second equation by -3.

x+3y=73
-3x-3y=-81

Now add.

-2x=-8
x=4

Plug in 4.

4+y=27
Subtract 4 from both sides.
y=23
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