Write the word phrases into an algebraic expression : 4 less than 5 times a number "p"

Mathematics

1 answer:

shusha [124]2 years ago

4 0

Answer: 5p - 4

5 times ‘p’ = 5p
4 less than ‘p’ = p - 4

Therefore,
=> 5p - 4

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Use an algebraic equation to find the measure of each angle that is represented in terms of X

professor190 [17]

Answer:

16, 74

Step-by-step explanation:

3x +10 + 12x +50 = 90

15x + 60 = 90

15x = 90 -60

15x = 30

x = 30/15

x = 2

3x + 10 = 3*2 +10 = 6 +10 = 16

12x + 50 = 12*2 +50 = 24 + 50 = 74

5 0

3 years ago

3^10 + 3^10 + 3^10=<br> a)9^30<br> b)3^30<br> c)9^10<br> d3^11

Luba_88 [7]

Hope this helps you :D

Answer is (D) 3^11

Step by step:

3^10+3^10+3^10
Collect like terms

=3x3^10
Calculate

Your solution is
3^11

8 0

4 years ago

Read 2 more answers

Which equations have the same slope as the graph above? Select all that apply.

borishaifa [10]

Given:

The graph given passes through two points (0, 2) and (-4, 8).

General Idea:

We can find the slope (m) of a line passing through two points say A and B using the below formula.

$A(x_1,y_1) \; and \; B(x_2,y_2) \; the\; two\; points\\ \\ Slope\; (m)\; =\; \frac{y_2-y_1}{x_2-x_1}$

Applying the concept:

Slope of the line given using the two points (0, 2) and (-4, 8).

$m=\frac{8-2}{-4-0}=\frac{6}{-4} =\frac{-3}{2}$

Out of the five options given , we need to check which options have slope as -6/4 or -3/2 by rewriting (if needed) the given to slope intercept form y =mx + b and compare the same.

Conclusion:

Rewriting the first option, the slope is -6/4 as shown below.

$y=\frac{12-6x}{4}=\frac{12}{4} -\frac{6x}{4} =-\frac{6}{4}x+3$

Rewriting the fourth option, the slope is -3/2 as show below.

$-4y=6x+4\\ \\ \frac{-4y}{-4}=\frac{6x}{-4}+\frac{4}{-4} \\ \\ y=\frac{-3}{2}x-1$

Rewriting the fifth option, the slope is -3/2 as shown below.

$2y+3x-5=0\\Subtract \; 3x\; and\; add\; 5\; on\; both\; sides\; of\; the\; equation\\ \\ 2y+3x-5-3x+5=0-3x+5\\ Combine\; like\; terms\\\\ 2y=-3x+5\\$