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3 years ago

Diana has 18 apples more than Roberto. Together, Diana and Roberto's apples are 48. How many apples does each have?

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

Answer:

Diana has 33 and Roberto has 15.

Step-by-step explanation:

Use D for the amount of apples Diana has and R for Roberto

D=R+18

D+R=48

Use Substitution to solve the system of Equations

R+18+R=48 ----> 2R+18=48- Subtract 18

2R=30- DIvide by 2

R=15

Substitute R into another equation

D=R+18

D=15+18

D=33

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Write an equation for each line. y intercept of -2,1, x intercept of 3.5

grandymaker [24]

Y = -2.1 , x = 3.5 the first line will be horizontal and the other will be vertical

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3 years ago

Show how Carly can work out 171/2% of 240 in her head

KATRIN_1 [288]

17 ½ % of 240

First option

Change the fraction ½ to a decimal. It would be 0.5 ( 1 divided by 2)

½=0.5

You will add the whole number 17 to the result.

17 + 05 = 17.5

Now you will divide by 100 (percent)

17.5 /100 To divide a decimal by 100, move the decimal point two places to the left.

17.5 /100 = 0.175 times 240

0.175 x 240 = 42

Second option

Change the percent to an improper fraction

17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35 over 2 ( keep the denominator). It will be 35/2. Put the other number (240) over 100 and multiply.

35/2 x 240/100 = 42

There is another way . You can simplify

Cancel all the zeros that you have and start to reduce.

7 12

35 x 24 0 = 42

2 10 0

1 5

17 ½ % of 240 = 42

5 0

3 years ago

4.9t+0.3=5.6t+0.72 I need help on my work lol

Whitepunk [10]

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this. What is given to us to accomplish that goal is the expression $4.9t+0.3=5.6t+0.72$ .

Now that we have completed that step, we can move onto the next part which is actually solving the problem. The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

Subtract 4.9t from both sides

$4.9t+0.3=5.6t+0.72$

$(4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72$

$0.3=(5.6t-4.9t)+0.72$

$0.3=(0.7t)+0.72$

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

Subtract 0.72 from both sides

$0.3=0.7t+0.72$

$0.3 - 0.72=0.7t+0.72 - 0.72$

$0.3 - 0.72=0.7t$

$-0.42=0.7t$

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

Divide both sides by 0.7