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Ad libitum [116K]
3 years ago
15

5a^2-15 using the distributive property

Mathematics
1 answer:
Aneli [31]3 years ago
7 0

the answer is in the picture

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What is the solution of the system? Use either the substitution method or the elimination method. 4x + 2y = 104x + 2y = 10 x − y
bixtya [17]
4x+2y=10 Equation 1
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
6y+52=10
6y=-42
y=-7
Now substitute value of y in x=y+13
x=-7+13
x=6

Answer: (6,-7)
8 0
3 years ago
Does it take fewer steps to determine the solution to the system of equations using elimination substitution? What is the soluti
nignag [31]

Answer:

Step-by-step explanation:

Note that one equation has -2y and the other has +2y. The fastest solution is to add the equations together. The two  terms will cancel out, eliminating the y terms.

8 0
3 years ago
Line l and line m are straight lines. What is the measure of angle y?
qwelly [4]

Answer: 190

Step-by-step explanation:

8 0
3 years ago
Share $600 between Anna and Raman in the ratio 3:7 and 1:4
Ulleksa [173]

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

<u>Shares when ratio is 3 : 7</u>

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

                   \frac{3}{10} \times 600 = \$  180

Raman 's share=

                  \frac{7}{10} \times 600 = \$ 420

<u>Shares when ratio is 1 : 4</u>

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

                   \frac{1}{5} \times 600 = \$ 120

Raman's share =

                  \frac{4}{5} \times 600 = \$ 480

8 0
3 years ago
PLEASE help
astraxan [27]

Answer:

The percentage of people should be seen by the doctor between 13 and

17 minutes is 68% ⇒ 2nd term

Step-by-step explanation:

* Lets explain how to solve the problem

- Wait times at a doctor's office are typically 15 minutes, with a standard

 deviation of 2 minutes

- We want to find the  percentage of people should be seen by the

 doctor between 13 and 17 minutes

* To find the percentage we will find z-score

∵ The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

∵ The mean is 15 minutes and standard deviation is 2 minutes

∴ μ = 15 , σ = 2

∵ The people should be seen by the doctor between 13 and

   17 minutes

∵ x = 13 and 17

∴ z = \frac{13-15}{2}=\frac{-2}{2}=-1

∴ z = \frac{17-15}{2}=\frac{2}{2}=1

- Lets use the standard normal distribution table

∵ P(z > -1) = 0.15866

∵ P(z < 1) = 0.84134

∴ P(-1 < z < 1) = 0.84134 - 0.15866 = 0.68268 ≅ 0.68

∵ P(13 < x < 17) = P(-1 < z < 1)

∴ P(13 < x < 17) = 0.68 × 100% = 68%

* The percentage of people should be seen by the doctor between

  13 and 17 minutes is 68%

6 0
3 years ago
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