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arsen [322]
3 years ago
10

Assume that y varies directly with x. If y = -5 when

Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0

Answer:

Thus, the value of x = -36 when y = 15

Step-by-step explanation:

We know that if y varies directly with x, we can express the relationship such as

y ∝ x

y = kx

k = y/x

where 'k' is called constant of variation.

Given

y = -5

x = 12

Using the equation

k = y/x = -5/12

Thus, the value of k = -5/12

Finding x when y = 15

y = 15

k = -5/12

substituting y = 15 and k = -5/12 in the equation

y = kx

15 = -5/12 (x)

15×12 = -5x

180 = -5x

divding both sides by -5

-5x/-5 = 180/-5

x = -36

Thus, the value of x = -36 when y = 15

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10x^2+50 factoring by taking out the greatest common factor
inessss [21]

Answer:

The greatest common factor is 10

Step-by-step explanation:

Once you factor it out, you have :

10(x^2+5)

8 0
3 years ago
Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go
anastassius [24]

Question:

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?

4+4+4+4

8+8+8+8

(-1)(4+4+4+4)

(-8) + (-8) + (-8) + (-8)

Answer:

Total = (-8) +(-8) +(-8) +(-8)

Step-by-step explanation:

Given

<em></em>Rungs = -4<em> --- It is negative because he is climbing down</em>

Steps = 8

Required

An expression for the number of rungs climbed

To do this, we simply multiply the number of rungs by the steps taken.

Total = Rungs * Steps

Total = -4 * 8

This can be rewritten as:

Total = -8 * 4

The product, when written as sum is:

Total = (-8) +(-8) +(-8) +(-8)

8 0
3 years ago
Mario opens a store credit card when he purchases new carpeting. The interest rate is 20.45%. He charges $3,240 to the card, and
andrey2020 [161]
2 X $1150 + $1049.34 = $3,349.34

Total cost= $3,349.34
6 0
3 years ago
The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t
Sergeu [11.5K]

Answer: 28 %

Step-by-step explanation:

Let, Initially,

V be the volume of construction work

r be the productivity of labor  

n be the number of days

x be the number workers.

Thus,  V  = r × n × x   ------------(1)      

Now, According to the question,

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%.

Therefore,

Final volume of the work = 160% of V = 1.6 V

Final productivity = 125% of r = 1.25 r

Also, the time is same in both conditions,

Final time taken = n

Let y be the number of people after changes.

Thus, 1.6 V = 1.25 r × n × y -----(2)

Dividing equation (1) by equation (2)

We get, y = 1.60 x/1.25

Thus, the changes in the number of workers

= \frac{(\frac{1.60x}{1.25}-x) }{x}\times 100

= 0.28 × 100

= 28 %


5 0
3 years ago
CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE. Determine m∠ABQ and determine m∠BCR.
s2008m [1.1K]

Answer:

ABQ  = 139

BCR is the same as QBC since they are alternate interior angles

BCR = 41

Step-by-step explanation:

CBQ and SCB are same side interior angles so they add to 180

2a-9  + 5a +14 = 180

Combine like terms

7a +5 = 180

Subtract 5 from each side

7a = 175

Divide by 7

7a/7 = 175/7

a = 25

ABQ  is the same as SCB  since they are corresponding angles so

ABQ = SCB = 5a+14 = 5*25+14 = 125+14 = 139

BCR is the same as QBC since they are alternate interior angles

BCR = QBC = 2a-9 = 2*25 -9 = 50-9 = 41

4 0
3 years ago
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