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77julia77 [94]
3 years ago
8

Carey solves the equation 4 (2 x minus 1) + 5 = 3 + 2 (x + 1) by applying the distributive property on both sides of the equatio

n. The result is 8 x minus 4 + 5 = 3 + 2 x + 2. Carey then wants to combine like terms. Which are the terms Carey should combine?
Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0

Answer:

8x + 2x

Step-by-step explanation:

ok this is right don't go for the other one

Ivan3 years ago
7 0

Step-by-step explanation:

4( 2x - 1) + 5 = 3 + 2(x + 1)

8x - 4 + 5 = 3 + 2x + 2

Solving like terms

8x + 1 = 2x + 5

Bringing like terms on one side

8x - 2x = 5-1

6x = 4

For finding the value of x

X = 4/6 = 2/3

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solve |5x - 1| < 1 a. {x|0 < x < 2/5} b. {x|x < 0 or x > 2/5} c. {x|-2/5 < x < 2/5}
aliina [53]
<span>|5x - 1| < 1
-1 < 5x - 1 < 1
-1 + 1 < 5x < 1 + 1
0 < 5x < 2
0/5 < x < 2/5
0 < x < 2/5
</span>
8 0
3 years ago
35% of 80 is what number
Elden [556K]

Answer:

35/100 *80=25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What number is 25% of 400 please show work thank you
ANEK [815]

Answer:

100

Step-by-step explanation:

well, you can just use a calculator, or your mind if that's possible, to solve this.

at least, what i think you're asking.

400 × 0.25 = 100.

this one is extra easy because you should know that 25% is a quarter, and 400 can just be divided by 4 to get your answer.

6 0
2 years ago
Teen obesity:
Law Incorporation [45]

Answer:

95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].

Step-by-step explanation:

We are given that 15% of a random sample of 300 U.S. public high school students were obese.

Firstly, the pivotal quantity for 95% confidence interval for the population proportion is given by;

                        P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample % of U.S. public high school students who were obese = 15%

           n = sample of U.S. public high school students = 300

           p = population percentage of all U.S. public high school students

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

<u></u>

<u>So, 95% confidence interval for the population proportion, p is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                             of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u>95% confidence interval for p</u> = [\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

  = [ 0.15-1.96 \times {\sqrt{\frac{0.15(1-0.15)}{300} } } , 0.15+1.96 \times {\sqrt{\frac{0.15(1-0.15)}{300} } } ]

  = [0.110 , 0.190]

Therefore, 95% confidence interval for the percentage of all U.S. public high school students who are obese is [0.110 , 0.190].

6 0
3 years ago
Find the slope of a line parallel to 2x-y=18
True [87]

Answer:

The slope of line parallel to 2x-y = 18 will be 2.

Step-by-step explanation:

Given  

The equation of a line : 2x – y = 18

The standard form of an equation of a line in slope-intercept form is:

y=mx+c

So, we will have to convert the given equation in the standard form.

2x-y=18

-y=-2x+18

-y= -(2x-18)

y=2x-18

The coefficient of x in this form is the slope of the line.

So,

m_1=2

We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..

7 0
3 years ago
Read 2 more answers
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