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Llana [10]
3 years ago
12

What is the x coordinate in the solution of the system of equations y =-2/3x and 4x - 9y =-40

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
The two given equations are:
y = -2/3 x 
4x - 9y = -40

Substitute by the first equation in the second as follows:
4x - 9(-2/3 x) = -40
4x + 6x = -40
10x = -40
x = -4
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Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
geniusboy [140]

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

4 0
2 years ago
50 coins all dimes and quarters total is 10.25 how many dimes?
Yanka [14]

Answer:

You can do these "in your head" like this:

50 dimes would be $5.00

Each quarter adds 15 cents.

10.25 - 55.00 = $5.25 added

Step-by-step explanation:

525/15 = 35 quarters

--> 15 dimes

==========================

or,

d + q = 50

10d + 25q = 1025

etc

8 0
3 years ago
Please help me ! Today 11/6/2020 :(
dangina [55]
I believe the answer is c, TSR
5 0
3 years ago
What is the approximate distance between points D and E? Round your answer to the nearest hundredth.
Usimov [2.4K]

Answer:

C.8.12 units  

Step-by-step explanation:

Given the coordinates of two points:

P1=(x_1,y_1)\\P2=(x_2,y_2)

The distance between these points is determined by the following equation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We can extract the exact coordinates from the graph provided by the problem:

P1=D=(x_1,y_1)=(-4,-1)\\P2=E=(x_2,y_2)=(4,-3)

Therefore:

d=\sqrt{(4-(-4))^2+(-3-(-1))^2} =\sqrt{(8)^2+(-2)^2} =\sqrt{64+4} =\sqrt{68} \\\\d=8.246211251

I don't see the correct answer from the choices given. So I would say the most aproximate is C.

7 0
3 years ago
Read 2 more answers
The campers at a summer camp were asked to choose a favorite activity. The table shows the activities chosen by 200 campers.
faltersainse [42]
Answer: 30
200(.15) = 30
7 0
2 years ago
Read 2 more answers
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