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olga2289 [7]
3 years ago
7

How do you solve 8x-3y=-70 and -2x+5y=-8 using the elimination method please show work.

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
8 0

Answer:

(-11, -6).

Step-by-step explanation:

8x-3y=-70

-2x+5y=-8     Multiply this equation by 4:

-8x+20y=-32

Now add this last equation to the first equation:

17y = -102   - we see that we have eliminated x.

y = -102/17

= -6.

Now plug y=-6 in the first equation to get x:

8x-3(-6)=-70

8x =-70 -18

8x =-88

x = -11.

lora16 [44]3 years ago
3 0

Answer:

6x+2y=-78

Step-by-step explanation:

8x-3y=-70

-2x+5y=-8

6x+2y=-78

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If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?
rjkz [21]

Answer:

2 teams

Step-by-step explanation:

13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.

4 0
3 years ago
The first shipping by company charges a fee of $20 to ship a medium box, plus an additional $1 per pound. A second company charg
viktelen [127]

Answer:

Total cost=$25

Step-by-step explanation:

We can derive two expressions as follows;

Total cost for the First shipping company=Medium box charges+total additional charges

where;

Medium box charges=$20

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=1×n=n

replacing;

Total cost for the First shipping company=20+n....equation 1

Total cost for the second shipping company=Medium box charges+total additional charges

where;

Medium box charges=$15

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=2×n=2 n

replacing;

Total cost for the First shipping company=15+2 n....equation 2

Equating equation 1 and equation 2

15+2 n=20+n

2 n-n=20-15

n=5

Replace the value for n in equation 2

Total cost for the First shipping company=15+2 n....equation 2

Total cost=15+(2×5)=$25

7 0
3 years ago
Graph Y+5=-2x and explain how you did it.
Margaret [11]
Y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
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Any line can be graphed using two points. Select two
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6 0
3 years ago
A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
swat32

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of x cm, then it's diagonal have the length of x\sqrt2 cm. Using the circle's area we can find the diagonal of the square, as shown below:

area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222

Since the diameter of the circle is the same as the diagonal of the square, then:

x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971

The side of the square is 5.971 cm

8 0
3 years ago
Read 2 more answers
Please help need answer for a quiz
torisob [31]

Answer:

first one with -1...21

Step-by-step explanation:

only one that follows quadratic formula format

5 0
3 years ago
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