All categories

4 years ago

Factor 60x-84 using the GCF. The factored expression is?

1 answer:

8 0

In this item, we have a binomial which means that the first term is 60x and the second term is 84. The greatest common factor of the terms is equal to 12. If we divide the first term by 12, the answer would be 5x and dividing the second term with 12, the answer would be 7.

Thus, the factor of the given binomial is,
12(5x - 7)

You might be interested in

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 93 m

Anna007 [38]

All other components will work indefinitly

5 0

4 years ago

A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we

IRINA_888 [86]

Answer:

$52$ roses and $117$ sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is $4:9$ , we can represent how many there are of each as $4x$ and $9x$ , respectively. We know that there are $65$ more sunflowers than roses, so we can set up the following equation to solve for $x$ :

$4x+65=9x$

Solving for $x$ , we get:

$4x+65=9x$

$4x+65-4x=9x-4x$ (Subtract $4x$ from both sides of the equation to isolate $x$ )

$65=5x$ (Simplify)

$5x=65$ (Symmetric Property of Equality)

$\frac{5x}{5}=\frac{65}{5}$ (Divide both sides of the equation by $5$ to get rid of $x$ 's coefficient)

$x=13$ (Simplify)

Therefore, since $x=13$ , we know that there are $4x=4*13=52$ roses and $9x=9*13=117$ sunflowers. Hope this helps!

4 0

3 years ago

the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME

fredd [130]

$25,28,32,37,43,50,58,67.$

$\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

4 0

3 years ago

Find an expression equivalent to the one shown below.

KIM [24]

Answer:

C. 1/8^11

Step-by-step explanation:

(8^2)^4 / 8^19

=8^8 / 8^19

= 8^(8-19)

= 8^-11

= 1 / 8^11

8 0

3 years ago

Write the equation of the line described

Alexeev081 [22]

Step-by-step explanation:

slope = x factor = - 5/2

Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

New slope = 2/5 = m

y = mx + b

from the point given y = 2 | x = -4

2 = (2/5 × -4 ) + b

2 = - 1.6 + b

b = 3.6

line equation

$y = \frac{2}{5} x + 3.6$

4 0

3 years ago