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sergejj [24]
3 years ago
7

Solve the System of Equations:-10x-3y=-18

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

-10x - 3y = -18 (1)

-7x - 8y = 11 (2)

Multiply equation (1) by 8 and equation (2) by -3

-80x - 24y = -144 (1)

21x + 24y = -33 (2)

-------------------------------Add

-59x = -177

x = 3

Plug in x = 3 into -10x-3y=-18

-10(3) -3y =-18

-30 - 3y = -18

3y = -12

y = -4

Answer

(3, - 4)

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A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time
Olegator [25]

Answer:

315 km

Step-by-step explanation:

If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.

Let's use the points (0.5, 42) and (4.5, 378):

as we move from the first point to the second, t increases by 4 and y increases by 336.  Thus, the slope of this graph is

m = rise / run = 336 km  /  4 hr  =  84 km/hr

then distance traveled = speed times time, or

distance traveled = (84 km/hr)t, where t is the elapsed time.

In 6 hours the bus would travel

                                 ( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi

8 0
3 years ago
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Simplify the following math expression: 5+4(6-3)+4/2
lesantik [10]

Answer:

29

you have to solve the brackets first(6-3=3)

Then solve the division (4/2=2)

lastly the addition (5+4=9)

so we have 9×3=27

27+2=29.

3 0
2 years ago
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Victoria can make 8 necklaces in 4 days. How long does it take her to make ond necklace?
irina1246 [14]

Answer:

0.5\ days

Step-by-step explanation:

we know that

Using proportion

\frac{4}{8}\frac{days}{necklaces} =\frac{x}{1}\frac{days}{necklace} \\ \\x=4/8\\ \\x=0.5\ days

5 0
3 years ago
Need help understanding and answering this please and thank you.
Goshia [24]

It's important to know that rigid transformations don't change the size or shape, this means the corresponding angles between the image and preimage are congruent. Due to the reflection transformation, angle C corresponds to angle Z.

<h2>Therefore, the answer is angle Z.</h2>
5 0
1 year ago
Y=2x+3 <br> y=3x+1 <br> solve the system of equations using substitution
Lynna [10]

Answer:

(2, 7 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 1 → (2)

Substitute y = 3x + 1 into (1)

3x + 1 = 2x + 3 ( subtract 2x from both sides )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting x = 2 into (1)

y = 2(2) + 3 = 4 + 3 = 7

Solution is (2, 7 )

4 0
3 years ago
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