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Dmitry_Shevchenko [17]
2 years ago
14

−10x+3y=5 ASAP x=y−4 ​ x ? y?

Mathematics
1 answer:
nexus9112 [7]2 years ago
3 0

Answer:

x = 1 and y = 5

Step-by-step explanation:

Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.

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a rolling pin is shaped like a cylinder with a diameter of 2 inches and a height of 10 inches . how many square inches of space
Liula [17]

Answer:

62.8 square inches

Step-by-step explanation:

we know that

To find out how many square inches of space the rolling pin comes in contact with after one complete roll, determine the lateral area of the rolling pin

The lateral area of a cylinder is given by the formula

LA=\pi Dh

we have

D=2\ in\\h=10\ in\\\pi=3.14

substitute

LA=3.14(2)(10)=62.8\ in^2

3 0
2 years ago
karl can flip 3 water bottles in 1/8 of a minute at that rate how many bottles can we expect him to flip in 1 minute
lara [203]

Answer:

Step-by-step explanation:

x/1=3/(1/8)

x=3(8/1)=24 bottles per minute

6 0
3 years ago
As a result of the installation of a muffler, the noise level of an engine was reduced from 89 to 72 decibels. Find the percent
Jobisdone [24]

Answer:

Step-by-step explanation:

Using the formula

Initial -final/initial =%/100

89-72/89 =%/100

17/89 =%/100

Making %subject of the formula

% =17*100/89

So % =1700/89

%= 19.101

Therefore rounding off the answer we have

X=19%

4 0
3 years ago
Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg
Norma-Jean [14]

Answer:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop</em>

<em>Point of intersection: (x,y) = (4,360)</em>

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295</em>

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

<em>Cost at Mike's, y = $100 + $195 = $295</em>


<em>Amy's repair shop: </em>

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

<em>Cost at Amy's, y  = $40 + $240 = $280</em>


<em>Part 2)</em>

<em>Find the point of intersection</em>

<em>Using elimination method:</em>

<em>y = 100 + 65 x    ------1</em>

<em>y = 40 + 80x      ------2</em>

<em>As the y coefficients are equal we will subtract eq1 from eq2</em>

<em>y - y = 40 + 80x - 100 - 65x</em>

<em>0 = -60 + 15x</em>

60 = 15x

x = \frac{60}{4}

x = 4

put x = 4 in eq 1

we get y = 100 + 65 (4) = 100 + 260 = 360

x = 4, y = 360

Point of intersection: (x,y) = (4,360)



8 0
3 years ago
Easy points
goblinko [34]

Answer: 2

Step-by-step explanation:

try each value in the equation

2(0) + 1 = 3

0 + 1 = 3

1 ≠ 3

so 0 doesn’t work

2(1) + 1 = 3

2 + 1 = 3

3 = 3

this works, so the answer is 1

6 0
3 years ago
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