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Dima020 [189]
3 years ago
14

The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b

?
A. 4,1
B. -19,40
C. 20,1
D. 30,9
E. -8,-29
​
Mathematics
1 answer:
bixtya [17]3 years ago
4 0

Answer:

The solution set is (-8, -29) (Answer E)

Step-by-step explanation:

Changing the given info into equations, we obtain:

a - b = 21 and

5a - 2b = 18

Let's use elimination by addition/subtraction.  Multiply the first equation by -5 to obtain

-5a + 5b = -105

and then add this result to the second equation:

-5a + 5b = -105

5a -  2b = 18

-------------------------

          3b = - 87

Dividing both sides by 3 yields:

b = -87/3 = -29

Now substitute -29 for b in   a - b = 21

a - (-29) = 21, or a + 29 = 21.  Then a = -8.

The solution set is (-8, -29) (Answer E)

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The volume of this right prism is 266.5 ft³.
Juli2301 [7.4K]

Hey there!

1/2 lwh = v

lwh = 2v

h = 2v/lw

Formula:

H = 2v / l w

H = 2(266.5ft³)/lw

H = 533/lw

Other length are Missing like length and width

Incomplete question

4 0
2 years ago
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
3 years ago
What is 7÷ 1 2 - 5 ?
RUDIKE [14]

Answer:

4.4166666667 or 4.417

Step-by-step explanation:

7÷12-5=4.4166666667 or 4.417

3 0
3 years ago
Complete the equation of the liine whose y intercept is (0,5) and slope is -9
ElenaW [278]
B because m=slope and if the equation goes y=mx+b the only answer would be B <span />
4 0
3 years ago
Solve for x and write your answer in simplest form.<br><br> -1/2 -1/2(4/5x+1) = -2 -3x
dimaraw [331]

The solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.

<h3>What is the solution of the equation as described in the task content?</h3>

It follows from the task content that the solution to the equation is to be determined and expressed in its simplest form.

Given;

-1/2 -1/2(4/5x+1) = -2 -3x

By distributing the coefficients: we have;

-1/2 - 2/5x - 1/2 = -2 -3x

Hence, by collecting like terms; we have;

-1/2 - 1/2 + 2 = -3x + (2/5)x

1 = -13x/5

Therefore; by cross-multiplication; we have;

5 = -13x

Divide both sides by; -13.

x = -5/13.

Ultimately, the solution of the equation which is as described in the task content when expressed in its simplest form is; -5/13.

Read more on solution of an equation;

brainly.com/question/10839449

#SPJ1

4 0
1 year ago
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