Judy’s brother Sam has a collection of 96, but what are the 10 way Sam can divide his comic books equal groups

Kamal prepares 2 kilograms of dough every hour he works at the bakery. Write an equation that shows the relationship between the

gogolik [260]

Answer:

Step-by-step explanation:

4 0

1 year ago

If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers

Contact [7]

Let the first integer be x. Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or x^2 - 19x - 462 = 0

Solve by completing the square:

x^2 - 19x + 90.25 - 90.25 - 462 = 0

(x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33

The two consecutive integers are 33 and 34.

Check: (33)(34)-20(34) = 442 (as expected).

8 0

1 year ago

Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation (0, 0)

AysviL [449]

Answer:Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation (0, 0)

4 0

1 year ago

Tara owes $14,375 in credit card debt. The interest accrues at a rate of 5.3%. She is also borrowing $570 each month for rent fr

siniylev [52]

Answer:

$(f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t$

$29619.13

Step-by-step explanation:

a. Tara has $14375 in credit card debt and the interest rate is 5.3%.

Now, if f(t) represent the amount of money Tara have in credit card debt, where t is the number of years after after interest begins to accrue, then

$f(t) = 14375 (1 + \frac{5.3}{100})^{t}$ ......... (1)

Again Tara borrows $570 each month for rent from her parents without any interest.

If g(x) represent the amount of money Tara owes to her parents, where t represents the number of years passed,then we can write

g(t) = 570 × 12t = 6840t ........ (2)

Therefore, $(f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t$

b. So, for t = 2 years,

$(f + g)(t) = 14375 (1 + \frac{5.3}{100})^{2} + 6840 \times 2$ = $29619.13

So, Tara has to repay $29619.13 if she continues this way without any repayment for 2 years. (Answer)

7 0

1 year ago

Mr. Smith had 33 dozen cans. He sold 340 of them at 15$ each. He sold the remaining cans at a discount of 20% each. How much mon

iren2701 [21]

Answer:

Mr. Smith collects $5748 from selling the can.

Step-by-step explanation:

Given total number of cans = $33\times12=396$

Selling price of one can = $15.

$\therefore \textrm{Selling price of 340 cans} = \textrm {selling price of one can} \times \textrm {number of cans}=15\times340=\$5100$

Now remaining number of cans = total number of cans - sold number of cans = $396-340=54$

For remaining number of cans he gives a discount of 20% each,

∴ Selling price of one can = $15-\frac{15\times20}{100}=15-3=12$

∴ Selling price of 54 cans = $\textrm{selling price of one can} \times \textrm{number of cans}=12\times54=\$648$

So total money he earns = $\$5100+\$648= \$5748$ .

Thus Mr. Smith earns $5748 by selling the cans.

3 0

1 year ago