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Veseljchak [2.6K]
3 years ago
10

-16 = -5a -21. Plz help. Show work if possible. Pre-Algebra is hard. :(

Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

a = -1

Step-by-step explanation:

-16 = -5a - 21 (Given)

5 = -5a (Added 21 on both sides)

-1 = a (Divided -5 on both sides)

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Select all the expressions that represent a correct solution to the equation 6(×+4)=20
kozerog [31]

Answer:

the solution x = \frac{-2}{3}

Step-by-step explanation:

Given equation is 6 ( x+4) =20

<u>Distributive property</u>:-

a .(b + c) = a .b + a . c

Given equation is 6 ( x+4) =20

by using distributive property  6 .x + 6.4 =20

                                                  6x +24 =20

    subtracting '24' on both sides, we get

                                            6x +24 -24 = 20 -24

                                            6x = -4

dividing by '6' on both sides, we get

                                             \frac{6x}{6} = \frac{-4}{6}

                                            x = \frac{-4}{6}

<u>Final answer</u> :-

the solution of given equation is x = \frac{-2}{3}

                                           

                                           

7 0
4 years ago
Horse hair cost $0.35 per pound.write an equation used to find c, the total cost of h pounds of horse hair?
olya-2409 [2.1K]
So c is the cost, and h is pounds of horse hair.
C= 0.35h
to solve, you would substitute a number for h, like 8, and multiply bye 0.35
HOPE THIS HELPS!!!
3 0
4 years ago
Pls help !! - Using the graph below, what is the rule for a translation form point A to point D?
Rzqust [24]
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5 0
3 years ago
Read 2 more answers
Use the x-intercept method to find all real solutions of the equation. x^3-8x^2+17x-10=0
abruzzese [7]

Answer:

 x^3-8x^2+17x-10=(x-5)(x-2)(x-1)  

Step-by-step explanation:

Given : Equation - x^3-8x^2+17x-10=0

To Find : All real solutions of the equation

Step1 - Write the equation :

x^3-8x^2+17x-10=0

Step 2 :  To find the x-intercept we plot the graph,

when we plot the graph the points where y=0 are the x-intercept

Step 3: Points where y=0 are 5,2,1 (shown in the attached graph)

Therefore, (x-5)(x-2)(x-1) are the solutions of the equation.

Hence,  x^3-8x^2+17x-10=(x-5)(x-2)(x-1)



6 0
3 years ago
Read 2 more answers
Consider a problem where we are rolling 2 dices where each dice has 6 faces numbered from 1 to 6.Answer the following questions:
Sergeeva-Olga [200]

Answer:

1. See Explanation for Sample Space

2. P(10) = \frac{1}{12}

3. P(6) = \frac{5}{36}

Step-by-step explanation:

Given

Roll of Two die

Solving (1): The Sample Space

Represent the first dice with S1 and the second with S2

S_1 = \{1,2,3,4,5,6\}

S_2 = \{1,2,3,4,5,6\}

The sample space of both die is:

S = (1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(55,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}\}

Solving (2): Probability of Sum being 10

First, we need to add the outcome of each roll in (1) above:

S = \{2,3,4,5,6,7, 3,4,5,6,7,8, 4,5,6,7,8,9, 5,6,7,8,9,10, 6,7,8,9,10,11 7,8,9,10,11,12\}n(S) = 36

n(10) = 3

The required probability is:

P(10)= \frac{3}{36}

P(10) = \frac{1}{12}

Solving (3): Probability of Sum being 6

n(S) = 36

n(6) = 5

The required probability is:

P(6) = \frac{5}{36}

6 0
4 years ago
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