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3 years ago

6

On Monday, Jayla raised $30 and Carlos raised $50.

1 answer:

gayaneshka [121]3 years ago

8 0

Answer:

84 days

Step-by-step explanation:

You would use the LCM to solve this.

12 and 7 don't share any common factors other than 1,

so you would multiply 12 x 7, which gets you 84.

After 84 days they would have raised the same amount.

You might be interested in

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult tick

kirill115 [55]

Answer:

child's ticket = 4.75 adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

4 0

2 years ago

Combine like terms 7a - a+ 16 = ?

dexar [7]

6a+16

Explanation:
If there's just a variable, there's an understood 1 in front of it. So what that really says is:

7a-1a+16

So, you combine the a's. 7a minus 1a is 6a. Same as 7-1,but you have a variable stuck on the end of it.

6a+16

:^)

4 0

2 years ago

Read 2 more answers

Expand and simplify (5x+2)(2x-3)

Snowcat [4.5K]

Answer:

10x^2 - 11x - 6

Step-by-step explanation:

(5x+2)(2x-3)

= 10x^2 - 15x + 4x - 6

= 10x^2 - 11x - 6

3 0

2 years ago

Read 2 more answers

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

3 years ago

Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

$\frac{AB}{AD}$ = $\frac{BC}{DE}$

BC = $\frac{AB}{AD}$ x DE

= $\frac{8}{8 + 4}$ x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0

2 years ago