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3 years ago

Please solve (-3×+15)+(-3×+2)

2 answers:

5 0

Work:
 (−3)(15)+(−3)(2) =−45+(−3)(2) =−45+−6 =−51

koban [17]3 years ago

3 0

(-3x + 15) + (-3x + 2)
Simplify by combining like terms.
-6x + 17

-6x + 17

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What is the constant of proportionality in the equation y=2xy

dybincka [34]

Answer:

2 is the constant of proportionality in the equation y = 2x .

Step-by-step explanation:

Definition of constant of proportionality

When two variables are directly proportional to each others .

Let us assume that u and v .

u \propto vu∝v

Than the equation becomes u= kv

Where k is called the constant of proportionality .

Thus in the question x and y are proportional variables .

i.e

y \propto xy∝x

y = kx

Where k is called the constant of proportionality .

Compare the equation y = kx with y=2x .

Thus

k = 2

Therefore 2 is the constant of proportionality in the equation y = 2x

the explanation is not mine only the answer

6 0

3 years ago

The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the

Maksim231197 [3]

Since we are to express the given conditions as a joint variation, we employ the use of k as our constant proportionality which we will denote in this item as k.
From the sentence,
F = kM₁M₂/d²
as we can see those in the denominator as those that vary inversely to the given parameter.

8 0

3 years ago

Maria must choose a number between 61 and 107 that is a multiple of 5, 6, and 10. Write all the numbers that she could choose. I

RSB [31]

Multiples of 5 : 65,70,75,80,85,90,95,100,105
multiples of 6 : 66,72,78,84,90,96,102
multiples of 10 : 70,80,90,100

she could choose : 90...and thats it

4 0

3 years ago

A publisher reports that 30% of their readers own a particular make of car. A marketing executive wants to test the claim that t

IgorLugansk [536]

Answer:

we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

Step-by-step explanation:

We are given;

Population proportion; p = 30% = 0.3

Sample proportion; p^ = 37% = 0.37

Sample size; n = 100

Let's define the hypotheses;

Null hypothesis; H0: p ≤ 0.3

Alternative hypothesis; Ha: p > 0.3

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Thus;

z = (0.37 - 0.3)/√(0.3(1 - 0.3)/100)

z = 0.07/0.04582575695

z = 1.53

From z-distribution table, at z=1.53 we have;

p-value = 1 - 0.9370 = 0.063

This p-value is greater than the significance level of 0.02 and thus we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

5 0

3 years ago

Two customers took out automobile loans. Katy took out a 5-year loan for $18,000 and paid 7.00% annual simple interest. Frank to

Sophie [7]

Answer:

The difference between the amounts of interest Katy and Frank paid for their loans is $180

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

P is the amount of the loan
r is the interest rate in decimal
t is the time

Katy took out a 5-year loan for $18,000 and paid 7.00% annual simple interest

∵ The amount of her loan is $18,000

∴ P = 18,000

∵ The annual simple interest is 7%

∴ r = 7% = 7 ÷ 100 = 0.07

∵ The loan is for 5 years

∴ t = 5

- Substitute these values in the formula above

∴ I = 18,000(0.07)(5)

∴ I = 6,300

∴ Katy will pay $6,300 interest for her loan

Frank took out a 6-year loan for $18,000 and paid 6.00% annual simple interest

∵ The amount of his loan is $18,000

∴ P = 18,000

∵ The annual simple interest is 6%

∴ r = 6% = 6 ÷ 100 = 0.06

∵ The loan is for 6 years

∴ t = 6

- Substitute these values in the formula above

∴ I = 18,000(0.06)(6)

∴ I = 6,480

∴ Frank will pay $6,480 interest for his loan

∵ The difference between their interests = 6,480 - 6,300

∴ The difference between their interests = $180

The difference between the amounts of interest Katy and Frank paid for their loans is $180

8 0

3 years ago

Read 2 more answers