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enyata [817]
3 years ago
12

Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and

t represents time, which equation represents this proportional relationship?]
Mathematics
1 answer:
AnnZ [28]3 years ago
4 0
D is distance which is 72 meters
time represents seconds which is 12
so ratio is 12:72
reduce to get 1:6
time over distance would be 1/6
every second Eddie runs 6 meters
so t= d/6
or 6t=d
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An electrician has a piece of wire that is 4 and 3/8 centimeters long. She divides the wire into pieces that are 1 and 2/3 centi
Vlada [557]

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

6 0
3 years ago
A worker earns $5.15/h receives a raise. She now earns $6/h. Find the percent of increase in her hourly rate of pay.
Svetllana [295]

Answer:

The percentage increase in worker wages in hourly rate of pay is 16.5%

Step-by-step explanation:

Given as :

The Initial wages earn by worker = $ 5.15 per hour

The Final wages earn by worker = $ 6 per hour

Let The percentage increase in her hourly rate of pay = x %

Now, According to question

x % = \dfrac{\textrm Final earning - \textrm Initail earning}{\textrm Initial earning}

or, x =  \dfrac{\textrm $ 6 - \textrm $ 5.15}{\textrm $ 5.15} × 100

or, x = \frac{0.85}{5.15} × 100

or, x = 0.165 × 100

∴   x = 16.5%

So , Percentage increase in wages = x = 16.5 %

Hence The percentage increase in worker wages in hourly rate of pay is 16.5% Answer

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$15,074 is invested, part at 14% and the rest at 5%. If the interest earned from the amount invested at 14% exceeds the interest
Flauer [41]

The rate at 14% and 5% are $12, 883 and $2191 respectively.

<h3>How to determine the rate</h3>

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = 15, 074 - y

Substitute in equation 2

0. 14(15, 074 - y) = 0. 05y + $1694. 07

Expand the expression

2, 110. 36 - 0. 14y = 0.05y + 1694. 07

Collect like terms

416. 29 = 0. 19y

Make 'y' the subject

y = \frac{416. 29}{0. 19}

y = $2, 191

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = $15, 074 - 2191

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

4 0
1 year ago
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