MATHEMATICS HIGH SCHOOL

During his workout, Elan spent 28% of the time on the treadmill. What fraction of his workout was on the treadmill?

Answers

Answer 1

Answer:

Answer: $(7)/(25)$

Step-by-step explanation:

Given : During his workout, Elan spent 28% of the time on the treadmill.

We know that to convert percentage into fraction , we divide it by 100.

Thus , $28\%=(28)/(100)$

Now to reduce it into lowest term , divide numerator and denominator by 4, we get

$(28)/(100)=(7)/(25)$

Hence, the fraction of his workout was on the treadmill = $(7)/(25)$

Answer 2

Answer: A percent always mean something out of a 100. So, you write - 28/100. This ca be so pied further by 2. So, then the fractions becomes - 14/50. This cane further be simplified by 2, so the fraction is 7/25. And that is your final answer.

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Malcolm and Theo's families are both traveling to the same vacation resort. The equation d=65t models the distance, d, that Malcolm's family travels after t hours.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

not sure

Variable g is 8 more than variable w. Variable g is also 4 less than w. Which pair of equations best models the relationship between g and w? A) g=w-8 , q=w+4 B) w=8g , w=g-4 C) g=w+8 , g=w+4 D) w=8g , w=g+4

Answers

Answer:

$\Rightarrow g=w+8$

$\Rightarrow w=g-8$

and

$\rightarrow g=w-4$

$\rightarrow w=g+4$

Step-by-step explanation:

We are given that Variable g is 8 more than variable w.

$\Rightarrow g=w+8$

$\Rightarrow w=g-8$

We are also given that

Variable g is also 4 less than w.

$\rightarrow g=w-4$

$\rightarrow w=g+4$

Hence pair of equations best models the relationship between g and w are:

$\Rightarrow g=w+8$

$\Rightarrow w=g-8$

and

$\rightarrow g=w-4$

$\rightarrow w=g+4$

Given:
Variable g is 8 more than variable w. ⇒ g = w + 8
Variable g is also 4 less than w ⇒ g = w - 4

g = w + 8 or w = g - 8
g = w - 4 or w = g + 4

Square RSTU dilates by a factor of 1/2 with respect to the origin. If R'S' is 2 units, how many units does RS have?0.5 units

2 units

1 unit

4 units

6 units

Answers

If square RSTU dilates by a factor of 1/2 with respect to the origin, than:
R`S` = 1/2 · RS
2 = 1/2 RS
RS = 2 · 2 = 4
Answer: D ) 4 units.

Answer: 4 units

Step-by-step explanation:

–3x + 1 + 10x = x + 4

Answers

-3x+1+10x=x+4
combine like variables
7x+1=x+4
put variables in one side by subtracting x and subtracting 1
6x=3
divide 6 by 3
x=1/2
hope it helps

Walt made an extra $7000 last year from a part-time job. He invested part of the money at 10% and the rest at 7%. He made a total of $580 in interest. How much was invested at 7%?Select one:

Answers

We know that
Interest= PNR/ 100.
where P is the principal
R is the rate of Interest
N is the no of years the sum has been invested for.
Since N is not given we assume that to be 1
Therefore we have
10x /100 + (7000 -x)*7/100= 580

Multiplying both sides by 100
10x+(7000-x)*7 = 58000
simplifying
10x+ 49000 - 7x = 58000
3x = 58000-49000
3x = 9000
x= 3000
therefore the sum of money invested at 7% = 7000 - 3000 = 4000

Final answer:

Using the given conditions, we establish two equations. The first from the total invested amount which of 7000 dollars and the second from the total interest of $580. We solve the system of equations to find the value of x, which signifies the amount invested at 10%. The rest of the money (7000 - x) was invested at 7%.

Explanation:

To solve this problem, we need to set up two equations based on the information given. These equations can be set up with the following assumptions: let us denote the amount of money invested at 10% as x and at 7% as 7000 - x.

First equation would be derived from the total amount invested which was $7000, so x + (7000 - x) equals to 7000.
The second equation can be established from the total interest which was $580, so 0.10x + 0.07(7000 - x) equals to 580.

Solve the system of these two equations to find the value of x. The solution will yield the amount that was invested at 10%. The rest of the $7000, that is (7000 - x), was invested at 7%, which is what we're looking for.

Learn more about mathematical problem solving here:

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One weekday, the ticket sales person at a bus station asks every 10th ticket buyer if they had planned to use a laptop computer while traveling. Of the 145 travelers questioned, 54 said yes.Based on this sample, predict how many people out of 3100 weekday bus travelers will use a laptop while traveling. Round to the nearest whole number.

Answers

From the 3100 weekday bus traveler, 310 travelers will be asked by the sales person. And for every 2.685 traveler questioned, a traveler will say yes. So there will be 115 bus travelers that will use a laptop computer while travelling.

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