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Irina-Kira [14]
3 years ago
13

-4x+y+6 -5x-y=21 solve by substitution

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

x = 15/-9

y = -114/9

Step-by-step explanation:

-4x + y + 6

-4x + y = -6

-5x - y = 21

-4x + y = -6

-5x - y = 21

__________+

-9x = 15

x = 15/-9

-4x + y = -6 | ×5 |

-5x - y = 21 | ×4 |

-20x + 5y = -30

-20x - 4y = 84

_____________--

9y = -114

y = -114/9

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A car mechanic rounds a car's weight to the nearest thousand. He says the weight is 4,000 pounds. What is the least and the grea
serg [7]

Answer:

Step-by-step explanation:

Given that a car mechanic rounds a car's weight to the nearest thousand

By rounding off to nearest 1000, we mean we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.

To simplify the above we can say the 100th digit if greater than or equal to 5, we round off the 1000th digit by 1 up otherwise leave it as it is

Example, 18765 is rounded off as 19000 while

15462 is rounded off as 15000

Here the answer after rounding off is 4000

This is possible if the weight was atleast 3500 because in this case he would round off to 4000 or highest 4499.

If 3499 or 4500 the rounding off would not have been 4000

So least number is 3500 and greatest number is 4499.

5 0
3 years ago
Helppp pleaseeeee The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a c
Jobisdone [24]

Answer:

Total volume = (145/3)π in³

Step-by-step explanation:

First find the volume of the entire cylinder.  The correct formula to use here is:

V = πr²h, where r is the radius and h is the height.  Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is

V = π(2.5 in)²(8 in) = 50π in³

Next find the volume of the conical shape:  V = (1/3)π(2.5 in)²(0.8 in)

The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:

π(2.5 in)²(8 in) = 50π in³  LESS  (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:

Total volume =

50 π in³ -  (1/3)π(2.5 in)²(0.8 in), or

(2.5 in)²π[8 in - 0.8/3 in] =  π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or

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7 0
3 years ago
How many feet are equivalent to 6 inches?
marusya05 [52]

Answer:

1/2 of a Foot

Step-by-step explanation:

There are 12 inches in a foot. So the equivalent of 6 inches in feet would be 1/2 a foot.

7 0
4 years ago
Read 2 more answers
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Daniel [21]

Answer:

5 movies because for 4 movies equals a coupon

3 0
3 years ago
4,11,18<br> what is the 109th value of this sequence ?
kompoz [17]

Answer:

109th value is 760

Step-by-step explanation:

the nth term rule is 7n-3

7×109=763

763-3=760

5 0
3 years ago
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