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2 years ago

Someone help me find the answer to this problem. 15a - 20 + 10a =

Mathematics

2 answers:

Oksi-84 [34.3K]2 years ago

7 0

Answer:

5a +20

Step-by-step explanation:

add or subtract the same variables

Alika [10]2 years ago

7 0

Answer:

25a-20

Step-by-step explanation:

Since there is no value after the equal sign, all you can do is combine like terms

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Find the value of x in each case:

quester [9]

X + 100 = 4x +49
x= 17

158+148+32+x = 360
338+x= 360
x= 22

5 0

2 years ago

Read 2 more answers

A local clothing store sells jeans and shirts. The store makes a $10 profit on the sale of jeans and $3 profit on the sale of th

Zepler [3.9K]

Answer:

An inequality to model the situation is : ( 10 m + 3 n) ≥ 150

Here, m : The number of jeans sold

n : The number of shirts sold.

Step-by-step explanation:

Here, the profit on each sale of jeans = $ 10

The profit on each sale of shirt = $ 3

The profit needed to be made = AT LEAST $150

Now, here: Let us assume the number of jeans sold = m

And, The number of shorts sold =n

So, the profit on m jeans = m x ( Profit on 1 jeans) = m x ( $ 10) = 10 m

So, the profit on n shirts = n x ( Profit on 1 shirt) = n x ( $ 3) = 3 n

⇒ The total profit on m jeans + n shirts = ( 10 m + 3 n)

But, according to the question, the profit should AT LEAST $150.

⇒ TOTAL PROFIT ≥ $ 150

⇒ ( 10 m + 3 n) ≥ 150

Hence, an inequality to model the situation is : ( 10 m + 3 n) ≥ 150

3 0

3 years ago

Determine if x - 2 is a factor of p(x) = x4 - 3x2 + 2x - 8, and explain why.

Natali [406]

Answer:

If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x) = 0

Solution:

According to factor theorem of polynomials,

x-a is a factor of polynomial p(x), if and only p(a)=0

Step 1:

Since x-2 is factor of p(x),

x - 2 = 0

x = 2

Step 2:

$p(x) = x^{4} - 3 x^{2} + 2 x - 8 ------ (equation 1)$

By substituting x = 2 in equation 1,

$p(x) = 2^{4} - 3(2)^{2} + 2(2) - 8$

p(x) = 16 - 3(4 ) + 4 -8

p(x) = 16 - 12 - 4

p(x) = 16 - 16

p(x) = 0

Since x - 2 is a factor of p(x) , we get p(x)=0

7 0

3 years ago

Write the general equation for the circle that passes through the points:

Oksanka [162]

Answer:

Step-by-step explanation:

let the eq. of circle be x²+y²+2gx+2fy+c=0 ...(1)

∵ it passes through (-1,2),(4,2),(-3,4)

∴ (-1)²+2²-2g+4f+c=0

-2g+4f+c=-5 ...(2)

4²+2²+8g+4f+c=0

8g+4f+c=-20 ...(3)

(-3)²+4²-6g+8f+c=0

-6g+8f+c=-25 ...(4)

(3)-(2) gives

10 g=15

2g=3

g=3/2

(3)-(4) gives

14 g-4f=5

14×(3/2)-4f=5

-4f=5-21=-16

f=4

from (2)

-2(3/2)+4×4+c=-5

-3+16+c=-5

c=-5-13

c=-18

so eq. of circle is

x²+y²+2(3/2)x+2(4)y-18=0

x²+y²+3x+8y-18=0

5 0

3 years ago

A multiple-choice test has 30 questions and each one has five possible answers, of which only one is correct. If all answers wer

kumpel [21]

Answer: the probability is 0.13

Step-by-step explanation:

First, each question has 5 options and only one is correct.

Then, selecting at random, the probability of getting a correct answer is equal to:

p = 1/5 = 0.20 (and the probability of getting it incorrect is p = 4/5 = 0.80)

Now, if out of 30 questions, we got 4 correct and 26 incorrect, the probability for a given combination is;

p = (0.20^4)*(0.80^26)

But we also need to multiply this by the total number of combinations.

This is we have 30 questions in total, and we can select 4 of them that will be the correct ones.

Now, if we have N objects in total, the number of different combinations of K elements out of those N elements is

$C = \frac{N!}{(N-K)!*K!}$

In this case, N = 30 and K = 4.

$C = \frac{30!}{(30 -4)!*4!} = \frac{30*29*28*27}{4*3*2} = 27,405$

Then the probability of getting exactly 4 correct answers is:

P = (0.20^4)*(0.80^26)*27,405 = 0.13

5 0

3 years ago