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Fofino [41]
3 years ago
10

The cost of four sweaters an two pairs of jeans is 140$. The cost of two sweaters an three pairs of jeans is $150.

Mathematics
2 answers:
bearhunter [10]3 years ago
7 0

sweater cost $20 and jeans cost $30

Kisachek [45]3 years ago
3 0

Answer:

A pair of jeans cost 40 dollars

A sweater costs 15 dollars

Step-by-step explanation:

Let s = cost a of sweater

j = cost of a pair of jeans

4s +2j = 140

2s +3j = 150

I will use elimination to solve.  Multiply the second equation by -2

-2(2s +3j )= 150*-2

-4s -6j = -300

Add this equation to the first equation

-4s -6j = -300

4s +2j = 140

--------------------

    -4j = -160

Divide by -4

-4j/-4 = -160/-4

j = 40

A pair of jeans cost 40 dollars

Now we need to find the cost of the sweater

2s +3j = 150

2s +3(40) = 150

2s+120 = 150

Subtract 120 from each side

2s +120-120=150-120

2s = 30

Divide by 2

2s/2=30/2

s = 15

A sweater costs 15 dollars

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Drag each tile to the correct box.
Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

f(a)=h(3)=4  

f(b)=h(5)=16

a=3

b=5

Substitute

\frac{16-4}{5-3}=6

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

f(a)=f(3)=10  

f(b)=f(6)=35

a=3

b=6

Substitute

\frac{35-10}{6-3}=8.33

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

g(x)=\frac{1}{5}(4)^x

f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}  

f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}

a=2

b=3

Substitute

\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0
3 years ago
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ziro4ka [17]

Answer:

a

Step-by-step explanation:

it is being reflected of the other end

8 0
3 years ago
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What is an example of a solution of zero ?
mart [117]
4-4=0 is an example of that
5 0
3 years ago
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klasskru [66]
10+10 the answer is 20
8 0
3 years ago
Find the slopes of the liner functions
LuckyWell [14K]

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

The rule of the slope of a line is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points lie on the line

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

∴ m = -2

∵ m is the slope of the line represented by the given equation

∴ The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = \frac{6-0}{0-6}=\frac{6}{-6}

∴ m = -1

∵ m is the slope of the line shown in the graph

∴ The slope of the line shown in the graph is -1

6 0
3 years ago
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