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mojhsa [17]
3 years ago
10

Determine the number of solutions of this equation. Show your work and explain your reasoning.

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
6 0
Given the equation, 7x + 5 = 2(4x + 3):

Distribute 2 into the terms inside the parenthesis:

7x + 5 = 2(4x + 3)
7x + 5 = 8x + 6

Subtract 5 from both sides:

7x + 5 - 5 = 8x + 6 - 5

7x = 8x + 1

Then, subtract 8x from both sides:

7x - 8x = 8x + 1 - 8x

- x = 1

Finally, divide both sides by -1 to solve for x:

-x / -1 = 1 / -1

x = -1

Therefore, the solution to the given equation is -1.
adell [148]3 years ago
5 0

Answer:

7x+5 =8x+6

x=-1

do you work kid

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Please I really need the answer for this
sasho [114]

The answer is A it is correct.

8 0
2 years ago
Read 2 more answers
Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon. She decides to add 2 m
Doss [256]

Answer:

By the time she achieves her 26 mile goal Andrea will have run 176 miles.

Step-by-step explanation:

Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:

6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X

14 + 22 + 30 + 38 + 46 + 26 = X

36 + 68 + 72 = X

36 + 140 = X

176 = X

So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.

6 0
3 years ago
Plant and animal cells have ALL the same organelles. True or faulse?
Andrei [34K]

Answer:

Step-by-step explanation:

False. They may have some that are the same, but not all.

8 0
3 years ago
Read 2 more answers
A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. C
noname [10]

Answer:

Step-by-step explanation:

The data in the question is not well arranged. The correct arrangement is:

Before After difference

283 215

299 206

274 187

284 212

248 178

275 212

293 192

277 196

Solution:

a) This is a matched pair design/experiment. This is so because the measurement of cholesterol levels were carried out on the same individuals.

b) Corresponding cholesterol levels before and after treatment form matched pairs.

The data for the test are the differences between the cholesterol levels before and after treatment.

μd = cholesterol level before treatment minus cholesterol level after treatment.

Before After difference

283 215 68

299 206 93

274 187 87

284 212 72

248 178 70

275 212 63

293 192 101

277 196 81

Sample mean, xd

= (68 + 93 + 87 + 72 + 70 + 63 + 101 + 81)/8 = 79.4

xd = 79.4

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (68 - 79.4)^2 + (93 - 79.4)^2 + (87 - 79.4)^2 + (72 - 79.4)^2 + (70 - 79.4)^2 + (63 - 79.4)^2 + (101 - 79.4)^2 + (81 - 79.4)^2 = 1253.88

Standard deviation = √(1253.88/8)

sd = 12.52

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

This is a one tailed test(left tailed test)

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (79.4 - 0)/(12.52/√8)

t = 17.94

We would determine the probability value by using the t test calculator.

p < 0.00001

4) Assume alpha = 0.05

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at 5% level of significance, we cannot conclude that the mean cholesterol level after treatment is less than the mean before treatment.

6 0
3 years ago
90 POINTS!! Right answers will earn brainly.
sveticcg [70]

Answer:

I believe the Science Students have a higher average grade on their respective tests.

Step-by-step explanation:

The mathematics students all scored between 30-40 on their test while the science students scored between 40-50%. This shows that the science students had a larger average score. Hope this helps! Have a great day :)

3 0
2 years ago
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