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Harlamova29_29 [7]
3 years ago
10

Solving multi-step equations -35 = -3x + 8 + 5x

Mathematics
2 answers:
nasty-shy [4]3 years ago
7 0
The exact form: x = -43/2
And decimal form: x = -21.5
const2013 [10]3 years ago
4 0

Answer:

x =  -21.5

Step-by-step explanation:

1st switch sides:  -3x + 8 + 5x = -35

2nd group like terms: -3x+5x+8=-35

3rd add similar elements: -3x+5x=2x

2x+8=-35

5th subtract 8 from both sides: 2x+8-8=-35-8

6th simplify: 2x=-43

7th divide both sides by 2: 2x/2 = -43/2

8th simplify: x = -21.5

I am joyous to assist :)

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Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar
Rasek [7]

Answer:

b) One sample z-test for means

Step-by-step explanation:

Normal Distribution

we have μ₀ (population mean from previous studies)

sample size    n  =  100

standar deviation of population   σ  = 0.75

And it was determined from sample, that μ = 5 : so we want to know if, at some significance level that value (which is smaller than population mean ) could help in relation to decide about rejecting hypothesis  H₀

We should use a z one tail-test for means (left tail)

4 0
3 years ago
(2 Fruit juice A is composed of 2 parts apple juice and 1 part grape juice.
Elenna [48]

The amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

<h3>How to Solve Algebra Word Problems?</h3>

The concentrations of apple and grape juice in the two different juice types are given as;

Juice A:

(2/3) apple

(1/3) grape

Juice B:

(1/3) apple

(2/3) grape

Let a be how much juice A is in the mixture;

Let b be how much juice B is in the mix.

Thus;

²/₃a + ¹/₃b = 10     ------(eq 1)

¹/₃a + ²/₃b = 8       ------(eq 2)

Solving both equations simultaneously gives us;

a = 12 and b = 6

Thus, the amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

Read more about Algebra Word Problems at; brainly.com/question/13818690

#SPJ1

5 0
1 year ago
A bag contains 42 red marbles, 6 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it
Elanso [62]
For any single draw,

\mathbb P(\text{white})=\dfrac6{42+6+8}=\dfrac6{56}
\mathbb P(\text{gray})=\dfrac8{42+6+8}=\dfrac8{56}

Drawing a white marble or a gray marble are disjoint events; only one of them can happen. So

\mathbb P(\text{white or gray})=\mathbb P(\text{white})+\mathbb P(\text{gray})-\underbrace{\mathbb P(\text{white and gray})}_0
\mathbb P(\text{white or gray})=\dfrac6{56}+\dfrac8{56}=\dfrac{14}{56}

Out of 224 draws, you should expect \dfrac{14}{56}\times224=56 of the marbles to be either white or gray.
6 0
4 years ago
Read 2 more answers
A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.
VladimirAG [237]

Answer:

$125,500

Step-by-step explanation:

Make "x" equal the selling price of the house

7% of x is the commission --->

.07 * x = 8785

x= 8785/ .07

x= 125500

8 0
3 years ago
one possible combination of homeroom groups is 18 groups of 10 students and 5 groups of 12 students. which equation uses the x =
vfiekz [6]

Answer: y - 5 = -5/6 (x - 18)

Step-by-step explanation:

The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.

Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).

6 0
3 years ago
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