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Alecsey [184]
3 years ago
7

Simplify each expression by distributing and combining like terms.

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Hello!

Answer:

1) 7k+35

2) 9n−36

3) 4x+22

Step-by-step explanation:

1) 7(k+5)

1) 7k+7×5

1) 7k+35

2) 9(n-4)

2) 9n+9×−4

2) 9n−36

3) 4(x+5)+2

3) 4x+20+2

3) 4x+(20+2)

3) 4x+22

Hope this helps!

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What is the solution to the equation below? Round your answer to two decimal places. 4•e^x=17
bixtya [17]

Answer:

\large\boxed{x\approx1.45}

Step-by-step explanation:

4e^x=17\qquad\text{divide both sides by 4}\\\\e^x=\dfrac{17}{4}\qquad \ln\ \text{of both sides}\\\\\ln e^x=\ln\dfrac{17}{4}\qquad\text{use}\ \log_aa^n=n\\\\x=\ln\dfrac{17}{4}\\\\x\approx1.45

7 0
3 years ago
-13x=90-2y <br> -6x=48-2y
Kisachek [45]

While it's pretty obvious to most of us that


-13x=90-2y

-6x=48-2y


is a system of linear equations, it'd be well to include that info plus the instructions "solve this system of linear equations."


Subtract the 2nd equation from the first:


-13x=90-2y

+6x=-48+2y

-----------------------

-7x = 42. Then x = -42/7, or x = 6.


Now subst. 6 for x in either one of the given equations. Suppose we use the 2nd equation:


-6x=48-2y


Then -6(6)=48-2y, or -36 = 48 - 2y, or 2y = 48+ 36 = 84. Then y = 42.


The solution is (6, 42).

3 0
3 years ago
A crepe recipe calls for 2 eggs, 1 cup of flour, and 1 cup of milk. How much flour would you need if you use 5 eggs?
nataly862011 [7]

Answer: 2.5 cups of flour is needed for 5 eggs.

Step-by-step explanation:

The crepe recipe calls for 2 eggs, 1 cup of flour, and 1 cup of milk. This means that the ratio of eggs to cup of flour to cup of milk required is 2:1:1

Therefore, if you use 5 eggs, the proportions would increase by 2.5. Multiplying by 2.5, it becomes

5 : 2.5 : 2.5

Therefore, you would need 2.5 cups of flour for 5 eggs.

6 0
3 years ago
Read 2 more answers
Is that correct ????
Travka [436]
Yes I believe it is :)
7 0
3 years ago
The equation yˆ=−5.131x2+31.821x−3.333 approximates the number of people standing in line to catch a commuter train x hours afte
Amanda [17]
Y ( 2 ) = - 5.131 · 2² + 31.821 · 2 - 3.3333 = 
= - 5.131 · 4 + 63.642 - 3.3333 = -20.524 + 63.642 - 3.3333 = 39.78 ≈ 40
Answer: B ) 40.
6 0
3 years ago
Read 2 more answers
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