Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?

I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!

I think the answer is 20+40...

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

=============================

[tex]\large\bold{Equation:}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

2nd step: Divide both sides by 4p+3

[tex]\large\bold{Answer:}[/tex]

===================================

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

Answer:

15/3=5

Step-by-step explanation:

Crystal has played the piano for 5 times longer than Jane.

Answer:

the answer is b

Step-by-step explanation:

Answer:

The answer for this particular question is (5,-8)

Answer:

-3xy^3 (7xy^2z-4y-12)

Step-by-step explanation:

Simply factor out "-3xy^3." GL!

Answer:

so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation:

Answer:

158 feet

Step-by-step explanation:

24 inches = 2 feet

79 x 2 = 158

Answer:

[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]

Step-by-step explanation:

Answer:

A, a dilation of 2

Step-by-step explanation:

The answer is, A dilation of 2 because the image is getting dilated to a  bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.

(Pre-image is a shape before a transformation, image is after a ransformation.)

Have a great day friend! :D

Answer:

42in =3.5ft.

5ft=___60in

Answer:

The correct answer is AAAA

Answer:

A.

[tex] \frac{8}{15} and \: 0.53[/tex]

Answer:

1-a

2-e

3-d

4- c  

5- b

Step-by-step explanation:

Answer:

Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7

Answer:

about 1 cup maybe less

Step-by-step explanation:

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

Learn more about triangle here

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Answer:

$8640

Step-by-step explanation:

Step 1:

The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.

3 × 45,000 = 135,000

The price then decreases by 10%. So, find 10% of 135,000

[tex]10\% = \frac{10}{100}[/tex]

[tex]135000=\frac{135000}{1}[/tex]

[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]

Multiply across

[tex]10\times1350 = 13500[/tex]

Therefore, for the three years, the cars price is now $13,500.

Step 2:

The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.

8 × 13,500 = 108,000

Now, find 8% of 108,000

[tex]8\% = \frac{8}{100}[/tex]

[tex]108000=\frac{108000}{1}[/tex]

[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]

Cross cancel the zeros

[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]

Multiply across

[tex]8\times1080 = 8640[/tex]

Therefore, the value of the vehicle in 8 years is $8640.

Answer:

x > 15

Step-by-step explanation:

first step is to subtract 9 from each side to get:

x/3 > 5

now multiply each side by 3 to get:

x > 15

Answer:

y = 42º

Step-by-step explanation:

The unmaked angle of the bottom triangle is 90º

The sum of the angles is 180

y + 90 + 48 = 180

combine like terms

y + 138 = 180

subtract 138 from both sides

y = 42º

Answer:

About 5 hours

Step-by-step explanation:

Hope it helps

Answer:

C. y - 1 = -4(x - 2)

Step-by-step explanation:

1. To find which line equation doesn't go through through the two points, we plug in the values of x to see if we get the value of the y.

A:

B:

C:

Therefore, the answer is C. y - 1 = -4(x - 2).

Answer:

It's the third one,

Step-by-step explanation:

the only one with the dot in the negatives

Answer: Hello!

The two numbers are 8 and 5 .

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

Anna♥

Answer:

B

Step-by-step explanation:

B because 12;18+16=B

Answer:

Find the missing value in the

equivalent ratio 12:18 = 16:

Choose

A.20

B.24

C.28



we have that

12:18 is the same that 12/18

simplify

12/18=6/9=2/3

Multiply by 8/8

(2/3)*(8/8)=16/24

therefore

the answer is the option B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

7 : 60 = x : 24

x = 7 * 24 : 60

x = 2.8 miles

Answer:

4 - 3y

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4 - 3y

The simplification of 1/3(12-9y) using distributive property is 4 - 3y

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, 2( x +y ) can be simplified as 2 × x + 2 × y

= 2x + 2y. This is distributive property.

Similarly, ⅓( 12- 9y) can be simplified as

(1/3 × 12) - (1/3 × 9y)

= 4 - 3y

Therefore 1/3(12-9y) is equivalent to 4 - 3y

learn more about distributive property from

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Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28

Answer:

Step-by-step explanation:

-6x-2y= -26

3(-6x-2y)= -26*3

-18x-6y= -78

(subtract this from the first equation)

(-2x-6y)-(-18x-6y)= -14+78

16x=64

x=4

Now that we know x= 4 we can plug that into an equation and solve for y

-2(4)-6y= -14

-8-6y= -14

-6= -6y

y= 1

x=4

y= 1

(4,1)