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serious [3.7K]
3 years ago
9

20 POINT QUESTION

Mathematics
1 answer:
MissTica3 years ago
5 0

8x + 7y =89

2x + 5y=45

You want to be able to subtract one away from the other one so you are just left with either x or y. to do this we could multiply the bottom equation by 4

so you would get

8x+7y=89

8x + 20y= 180

Now we can subtract equation 1 from equation 2 so you get

13y=91

this gives you y=7 so to find x we can simply substitute y into an equation;

2x + 5x7=45

2x + 35= 45

2x = 10

x =5

so the final answer is y = 7/ x = 5

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The length of the batter's box on a softball field is 1 ft more than twice the width. The area of the batter's box is 78 ft2. Fi
zlopas [31]

The length and width of the rectangular box are 13 ft and 6 ft respectively.

<h3>How to find the length and width of a rectangle?</h3>

The length of the batter's box on a softball field is 1 ft more than twice the width.

The area of the batter's box is 78 ft².

The length and width of the rectangular batter's box can be found as follows:

Therefore,

area of a rectangle = lw

where

  • l = length
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Therefore,

area of the rectangular box = 78 ft²

l = 1 + 2w

Hence,

78 = (1 + 2w)w

78 = w + 2w²

2w² + w - 78 = 0

Hence,

w = 6  and w =  -13  /2

we can only use positive values.

Therefore,

width = 6 ft

length  = 2(6) + 1 = 13 ft

learn more on rectangle here: brainly.com/question/14537807

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4 0
2 years ago
Find the amplitude and the equation of the midline of the periodic function.
Masja [62]

Answer:

Option B. Amplitude =3 midline is y =2.

Step-by-step explanation:

In the graph attached we have to find the amplitude and midline of the periodic function.

Amplitude of the periodic function = (Distance between two extreme points on y asxis)/2

=  (5-(-1))/2 = (5+1)/2 =6/2 =3.

Since amplitude of this function is 3 and by definition amplitude of any periodic function is the distance between the midline and the extreme point of wave on one side.

Therefore midline of the wave function is y=2 from which measurement of the amplitude is 3.

6 0
3 years ago
Read 2 more answers
SHOW WORK!!
denpristay [2]

If he puts 300 sunfish into the pond, he will put 225 perch in the pond.

<h3>What is a ratio?</h3>

A ratio is the comparison of one thing to another. Generally, ratios compares value.

They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows

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If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:

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cross multiply

4x = 900

x = 900 / 4

x = 225

learn more on ratios here: brainly.com/question/89456?referrer=searchResults

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3 years ago
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solong [7]

Answer:A

Step-by-step explanation:

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