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3 years ago

jack is 4 times as old as lacy. 9 years from now the sum of their ages will be 68. how old are they now?

2 answers:

5 0

The answer is 12.
since we also know that jack is 2 times lucy now then the entire formula would be 2x - 6 = 18 to solve we add 6 to both sides 2x - 6 + 6 = 18 + 6 the 6s on the left cancel because when you have a positive and negative of the same number it always = 0 we get 2x = 24 then divide both sides by 2 to get the answer 2x / 2 = 24 / 2 the 2s on the left cancel and you get

Lyrx [107]3 years ago

4 0

J=4L, (J+9)+(L+9)=68 using J=4L in the second equation gives you:

4L+9+L+9=68

5L+18=68

5L=50

L=10 and since J=4L

J=40

So Jack is 40 years old and Lacy is 10 years old.

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Y=11
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netineya [11]

Answer:

k=2

Step-by-step explanation:

7[k+8]=70

First distribute the 7 into the k+8

7k+56=70

Then subtract the 56 on both sides since we want to isolate the variable

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Lastly divide each side by 7 to get the variable by itself and its value

k=2

We can check this by plugging 2 into the equation. We substitute for 2 in place of k.

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3 years ago

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What is Xavier’s available lot coverage?

slavikrds [6]

Answer:

Step-by-step explanation:

<h3>At first:</h3>

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore, 

Area of the trapezoid

$= \frac{a + b}{2} c$

[On putting the values]

$= \frac{175 + 185}{2} \times 100$

[On Simplification]

= 360 × 50

[On multiplying]

= 18000

Hence,

We got the Total Area as 18000.

As per given equation,

$\frac{40}{100} = \frac{x}{total \: area}$
To find the value of x

Solution ,

$= > \frac{40}{100} = \frac{x}{total \: area}$

[On putting Total Area = 18000]

$= > \frac{40}{100} = \frac{x}{18000}$

[On cross multiplication]

=> 40 × 18000 = 100 × x

[On Simplification ]

=> 720000 = 100x

[On dividing both sides with 100]

$= > \frac{720000}{100} = \frac{100x}{100}$

[On Simplification ]

=> x = 7200

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Xavier's avaliable lot coverage (x) = 7200 (Ans)

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3 years ago

Lily is selling ice cream cones and ice cream sandwiches. She sells 3 ice cream cones and 4 ice cream sandwiches for $14.25. She

brilliants [131]

Answer:

cost of ice cream cones = $1.75

cost of ice cream sandwiches = $2.25

Step-by-step explanation:

Let

x = cost of ice cream cones

y = cost of ice cream sandwiches

3x + 4y = 14.25 (1)

5x + 2y = 13.25 (2)

Multiply (2) by 2

10x + 4y = 26.50 (3)

3x + 4y = 14.25 (1)

Subtract (1) from (3)

10x - 3x = 26.50 - 14.25

7x = 12.25

x = 12.25/7

x = $1.75

Substitute x = 1.75 into (1)

3x + 4y = 14.25

3(1.75) + 4y = 14.25

5.25 + 4y = 14.25

4y = 14.25 - 5.25

4y = 9

y = 9/4

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tester [92]

Answer:

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Step-by-step explanation:

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