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nekit [7.7K]
1 year ago
9

If x and y satisfy both 9x+2y=8 and 7x+2y=4, then y=?

Mathematics
1 answer:
Alex1 year ago
7 0

Answer:

The value of y is -5

Step-by-step explanation:

we have

9x+2y=8 ------> equation A

7x+2y=4 ------> equation B

we know that

If x and y satisfy both equations, then (x,y) is the solution of the system of equations

Using a graphing tool

Remember that

The solution of the systems of equations is the intersection point both graphs

The intersection point is (2,-5)

therefore

The solution of the system of equations is the point (2,-5)

The value of y is -5

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The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the
Reptile [31]

<em>Greetings from Brasil...</em>

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

<h2>PQ = 2B = 42</h2><h2>QR = 2B = 42</h2>

4 0
2 years ago
In the figure, ABC DFE. What is the perimeter of ABC in inches?
lys-0071 [83]

Answer:

Step-by-step explanation: 54in

7 0
1 year ago
The volume of a large can of tuna fish can be calculated using the formula V= πr(r)h. Write an equation to find the radius, r, i
noname [10]

The equation r=\sqrt\frac{V}{3.14h} can be used to find the radius.

Step-by-step explanation:

Given,

Volume of large can;

V=πr(r)h

V=πr²h

Dividing both sides by πh

\frac{V}{\pi h}=\frac{r^2\pi h}{\pi h}\\\\\frac{V}{\pi h}=r^2\\\\r^2=\frac{V}{\pi h}

Taking square root on both sides

\sqrt{r^2}=\sqrt{\frac{V}{\pi h}}\\r=\sqrt\frac{V}{\pi h}

Putting π=3.14

r=\sqrt\frac{V}{3.14h}

The equation r=\sqrt\frac{V}{3.14h} can be used to find the radius.

Keywords: volume, square root

Learn more about square root at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

5 0
2 years ago
A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y
Nuetrik [128]

Answer:

Is an estimate of the average grams of salt used in 2012

Step-by-step explanation:

Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

f(x)=52.3x+3.548

This is a linear equation in slope intercept form

where

The slope is equal to

m=52.3\ grams/ year

The y-intercept or initial value is equal to

b=3,548\ grams

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested  in the year 2012

The exact value of the average amount of grams of salt ingested  in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

3,554\ g\neq 3,548\ g

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

7 0
2 years ago
You and a friend buy two fruit smoothies and leave a tip. You split the total and your half comes to $3.60. What percent tip (in
Bezzdna [24]

the amount they paid includes the price of the two smoothies and tip

since the friends are splitting the bill in 2, then each friend pays only half the amount

each friend pays $ 3.60 each

so the total amount they both paid is 3.60 x 2 = $ 7.20

the cost of one smoothie - $3

therefore the cost of the 2 smoothies - 3 x 2 = $ 6

so they paid 7.20 but the bill was only 6 dollars

so the difference in the 2 amounts is the value of the tip they left

tip = 7.20 - 6 = 1.20

so the percentage of the tip is - tip amount / value of the bill x 100 %

percentage = 1.20 / 6.0 x 100 % = 20 %

they left 20 % of the bill as a tip

6 0
2 years ago
Read 2 more answers
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