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3 years ago

15

Please help! Kelly has 4 times as many songs as Lou. Tiffany has 6 times as many songs as Lou. Together they have 682 songs. How

many songs does Kelly have?

1 answer:

stira [4]3 years ago

8 0

Kelly has 248 songs.

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

3 0

3 years ago

Sophie could $330 in a savings account at a simple interest rate of 4% per year. Avi put $290 in a savings account at a simple i

worty [1.4K]

Sophie would’ve earned more
She would’ve earned $37 more

Calculations:
Sophie:
$330(1+4%*2)
=$356
Simple interest: $356-$330
=$26

Avi:
$290(1+5%*2)
=$319
Simply interest: $319-$290
=$29

$29-$26
=$3

8 0

4 years ago

Choose the lowest common denominator.

Brilliant_brown [7]

1) 8

2) $-\frac{3}{4}=-\frac{6}{8}$ , so it is equal to $-\frac{6}{8}+\frac{5}{8}$

3) 1/8

4 0

2 years ago

The graph shows the altitude of a helicopter over time. A graph measuring altitude and time. A line runs through coordinates (0,

TiliK225 [7]

We can calculate for the slope of the line using the formula:

m = (y2 – y1) / (x2 – x1)

From the given values:

m = (4,000 – 10,000) ft / (15 – 0) min

m = -400 ft/min

This means that the altitude is decreasing by 400 ft per minute.

> The slope is –400 . This means that the helicopter descends 400 ft each minute.

4 0

3 years ago

Write this phrase as an algebraic expression , the product of 5 and y added to 3 ?

maksim [4K]

Answer:

5y + 3

Step-by-step explanation:

When multiplying a variable (y) with a number, you combine the two together , so 5y. Since you're adding 3, you leave the 3 alone and write the expression out as 5y + 3.

5 0

3 years ago