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Cloud [144]
3 years ago
13

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player ha

s is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0

Answer:

2g + a = 42 and a + g = 24

Step-by-step explanation:

Let number of goals is represented by "g" and number of assists represented by "a"

By the statement "Combined number of goals and assists is 24"

so equation will be a + g = 24 ---------(1)

Second statement says

"Total numbers of points of goals and assists is 42"

2g + a = 42 --------(2)

Therefore, 2g + a = 42 and a + g = 24 is the system of equations to determine the number of goals and assists golfer has.

suter [353]3 years ago
8 0

Answer:

The correct answer is B

Step-by-step explanation:

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At the Olympic Games, a runner won the 26.2 mile marathon race in 2 hr 4 min and 1 second. What was his average speed in mph and
Contact [7]

The average speed of the runner is 12.7 mph and 20.4 km/h

Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from  hours and minutes into minutes and finally hours, since hours is what we need. So, we have

2hr = 120mins

+ 4 mins = 124 mins

124 mins ÷ 60 hour/mins = 2.06 hours.

This means that the runner finished the race in 2.06 hours.

If we are to find the average speed in mile per hour, we have

Average speed = distance ran ÷ time taken

Average speed = 26.2 ÷ 2.06

Average speed = 12.7 mph

From the speed in mph, we can directly convert it to km/hr by saying

1 mph = 1.609 km/h

12.7 mph = 12.7 * 1.609 = 20.4 km/hr

for more, check: brainly.com/question/1989219

4 0
2 years ago
During the holiday sale, Deal of the Day sold radios and sweaters in the ratio 5:8. The store sold a total of 26 items. How many
poizon [28]

let's common be "x" 8x add 5x equal to 13 x now x equal to 26 devise 13 equal to 2,. so ans is 2

6 0
2 years ago
gavin deposited $1500 into his savings account that is compounded quarterly at an interest rate of 1.5%. How munch money will ga
creativ13 [48]

<u>Answer:</u>

The money will gavin have after 5 years is 1616.59$

<u>Explanation:</u>

We know that compound interest is given by  

A=P\left(1+\frac{r}{n}\right)^{n t}

          Where A = final amount

       P = Principal amount = $1500 (given)

r  = interest rate = 1.5% = 0.015

n = no. of times interest applied per time period = given quarterly = 4

t = time period = 5 years  

    So,

A=1500\left(1+\frac{0.015}{4}\right)^{4 \times 5}

1500\left(1+\frac{0.015}{4}\right)^{20}

 = 1616.59$ which is the money will gavin have after 5 years

4 0
3 years ago
What is a object accelerated if its moving in 30m and stops at 5 seconds
Ivan
6 meter / second square.

8 0
3 years ago
The appliance store where the Scott family shops offers a 7% discount for paying cash. The Scott
Nostrana [21]

Answer:

7% = $34

100% =  100/7 X 34 = 3400/7 = $ 485.71  OR  $ 486  ANSWER.

Step-by-step explanation:

100% =  100/7 X 34 = 3400/7 = $ 485.71  OR  $ 486  ANSWER.

8 0
3 years ago
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