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3 years ago

Factor the expression 20g3 + 24g2 – 15g – 18

1 answer:

3 0

First, put parenthesis around the first two numbers and the last two numbers.
(20g³+24g²) (-15g-18)
Then, take out the greatest common factor of both parenthesis.
4g²(5g+6)-3(5g+6)
You then separate the numbers outside the parenthesis and the numbers in the parenthesis.
(5g+6) (4g²-3)
Then you simplify the second set of numbers. Since the set of numbers can't be simplified, you would leave this problem as it is. I hope this makes sense.

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Find (4.54×10^8)-(3.98×10^8)

horrorfan [7]

Answer:

$5.6 *10^7$

Step-by-step explanation:

Given

$(4.54*10^8)-(3.98*10^8)$

Required

Solve

$(4.54*10^8)-(3.98*10^8)$

Apply distributive law of algebra

$(4.54 - 3.98) *10^8$

Evaluate the expression in bracket

$(0.56) *10^8$

Remove bracket

$0.56 *10^8$

When a number is in standard form: $a * 10^n$

The value of a must be: $1 \le a \le 10$

So, the expression becomes:

$5.6 *10^{-1}*10^8$

Apply law of indices

$5.6 *10^{-1+8}$

$5.6 *10^7$

5 0

2 years ago

Anna cuts four identical circles from a square piece of black poster board as shown.

Elden [556K]

Answer:

3.44 square feet

Step-by-step explanation:

Please kindly check the attached file for explanation and the picture of the poster board.

4 0

3 years ago

Read 2 more answers

the formula F=9/5C + 32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperatur

Free_Kalibri [48]

$F=\dfrac{9}{5}C+32\\\\C=10\\\\subtitute\\\\F=\dfrac{9}{5}\cdot10+32=9\cdot2+32=18+32=50\\\\Answer:\boxed{10^oC=50^oF}$

8 0

3 years ago

Juan had his car washed at the speedy clean car wash. He paid $20 for a car wash. He gave a 15% tip to the attendant who washed

shtirl [24]

Answer:

2. $3

Put down 20 and multiply 20 times .15 and you get your answer.

3 0

2 years ago

How would I do this? Please explain instead of just giving me the answer.

djverab [1.8K]

According to the Pythagorean theorem, the square of the hypotenuse (the longest side) of a right-angled triangle equals to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, which equals to the distance between the bottom of the ladder and the tree + the distance we want to find (x):
5² + x² = 13²
25 + x² = 169
x² = 144
x = √144 = 12.
The distance between the ground and the top of the ladder is 12 ft.

4 0

2 years ago