"
Question
Normal
Shane earns $8 per hour babysitting and $6 per hour walking dogs. He also earns tips for each job. Last week Shane spent 2 more hours walking dogs than babysitting. He received $12 in tips for babysitting and
$10 in tips for dog-walking. Shane earned the same total amount for each job.
Write an equation to represent the situation. Use the variable h to represent the number of hours Shane spent babysitting

Step-by-step explanation:

Fact 1: Alternate angles are equal.

Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,

(5x-11)° = (3x+17)°

5x - 3x = 17 + 11

2x = 28

x = 28 ÷ 2

x = 14

NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.

Fact 2: Opposite angles are equal.

Y° and (3x+17)° are OPPOSITE angles

y = (3x+17)°

y = (3x14) + 17

y= 42 + 17

y = 59°

Hope this helps!

the absolute deviation for the man is 3 years more than the one for the woman.

We know that the absolute value function:

m(x) = |x - 44|

Represents the absolute deviation of man's age, in years.

This means that the average age of a man in that city is 44 years old, so if a man has 64 years, then the absolute deviation is given by:

m(64) = |64 - 44| = 20

The absolute deviation for a man of 64 years old living in this city is 20 years.

Similar for the case of women, the equation here is:

w(x) = |x - 47|

If a woman has 64 years old, then the absolute deviation is:

w(64) = |64 - 47| = 17

The absolute deviation is 17 years.

We can see that the absolute deviation for the man is 3 years more than the one for the woman.

If you want to learn more about absolute value functions:

https://brainly.com/question/3381225

#SPJ1

Answer:

1

2

3

4

6

12

43

86

129

172

258

516

Step-by-step explanation:

516 is divisible by?

Answer:

7.8 rupees

Step-by-step explanation:

The sum of the masses of earth and its moon is 6.07 * 10^24kg

Scientific values are values expressed in the form A * 10^n

where

A is any value between 1 and 10

n is any integer

Given the following

Mass of earth = 6 *10^24kg

Mass of moon. = 7 *10^22kg

Take the sum

Sum = 600 * 10^22 + 7 * 10^22

Sum = 607 * 10^22

Sum = 6.07 * 10^24

Hence the sum of the masses of earth and its moon is 6.07 * 10^24kg

Learn more on sum of scientific values here: https://brainly.com/question/23963895

#SPJ1

Answer:

=> 7+u = 14; u = 7

Step-by-step explanation:

The sum of 7 and u is 14

=> u + 7 = 14

=> u = 14-7

=> u = 7

Answer:

Step-by-step explanation:

This is just a complicated method to do ratios and proportions

use the given x and y values and the ratio will be determined by k.

Then use that k and the second x value to find y.

-8 = k(20)

k = -2/5

Next part

y = (-2/5)(-4)

y = 1.6

Answer:

on what nothing there

Step-by-step explanation:

Answer:

1) 6a

2) 8

3) 18a

Step-by-step explanation:

1) [tex] \sf {2a}^{ - 1} \times {3a}^{2} [/tex]

Simplify using exponent rule with the same base

[tex] \sf \: 2 \times {3a}^{ - 1 + 2} [/tex]

Multiply the monomials

[tex] \sf \: 6a {}^{ - 1 + 2} [/tex]

Calculate the sum or difference.

[tex] \sf \: {6a}^{1} [/tex]

Calculate the power

[tex] \sf \: 6a[/tex]

2) [tex] \sf( \frac{1}{2} ) {}^{ - 3} [/tex]

simplify using negative exponents rule [tex] \sf {a}^{-n} = \frac{1}{{a}^{n}} [/tex]

[tex] \sf {2}^{3} [/tex]

calculate the power

[tex] \sf \: 8[/tex]

3) [tex] \sf {2a}^{ - 1} \times {(3a)}^{2} [/tex]

Simplify using exponents rule with the same exponent

[tex] \sf {2a}^{-1} × {3}^{2} × {a}^{2}[/tex]

Simplify using exponents rule with the same base a ^ n + a ^m = a ^n+m

[tex] \sf 2×{3}^{2} ×{a}^{-1+2} [/tex]

Calculate the power

[tex] \sf 2 × 9a {}^{-1+2}[/tex]

[tex] \sf 18a[/tex]

2(I) We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.

8348 = 8350(rounded to 3 SF)

2(ii) 0.00796 = 0.0080

2(II) 6.329 = 6

2(III) 0.05684 = 0.0568

Step-by-step explanation:

1.i

2a^-1 × 3a²

remember, when we multiply factors with the same base value or variable, we keep that base value or variable and simply add the exponents.

-1 + 2 = 1

so, we get

2×3 × a¹ = 6a

1.ii

(1/2)^-3

remember, the "-" on the exponent just means 1/...

so, it is actually

1 / (1/2)³ = 1 / 1/8 = 8

1.iii

2a^-1 × (3a)²

similar to the first one, but remember, when we put the product of factors to a certain power, we need to do this for every factor of the inner multiplication :

2a^-1 × 9a² = 2×9 × a¹ = 18a

2.

the first significant figure is the first digit in the number reading from the left, that is not 0. it can be before or after the decimal point.

any digit (now continuing to read further to the right) after the first significant figure is again a significant figure even if it is 0.

i.

8.348 is rounded to 3 significant figures : 8.35

ii.

0.00796 is rounded to 2 significant figures :

0.0080 or 0.008 (because if the last digit after the decimal point is a 0, we can ignore it).

iii.

6.329 is rounded to 1 decimal place : 6.3

iv.

0.05684 is rounded to 3 decimal places : 0.057

3.

the sum of interior angles in a polygon is (n − 2) × 180°. where n is the number of sides.

as deca stands for 10, a decagon has 10 sides and 10 vertexes.

the sum of its inner angles is

(10 - 2) × 180° = 8 × 180° = 1440°

1170° of that is already covered by the first 7 angles.

so, we have left

1440 - 1170 = 270°

for the remaining 3 angles (that are all equal).

so,

270 = 3×angle

angle = 270/3 = 90°.

so, all of the 3 remaining angles are 90°.

Answer:

4000inches

Step-by-step explanation:

1000*4 = 4000inches

Answer: 4,000 inches

Step-by-step explanation:

this is because 4 times 1000 is 4000 so the Hyperion tree would be 4000 inches tall

Answer:

The 5 is in the thousandths place.  

825/1000

Step-by-step explanation:

Simplified this would be 33/40

825/1000  Divide the top and bottom by 25

Answer: Number of students out of 300 who will attend sports class are 200.

Step-by-step explanation:

Let x be no. of students in 300 students who have sports practice;

Mr McGee found that 6 students out of 9 in his class have a sports practice today.

so according to ratio and proportions we have:

6/9=x/300

by cross multiplying 300 on left hand side we have ;

x=200 students

So

number of students out of 300 who will attend sports class are 200.

Learn more about ratio and proportions here

https://brainly.com/question/28499628

#SPJ9

Answer:

Step-by-step explanation: Based on the given condition, formulate :

          multiply total students with 6

      6×300 =1800

learn more about this type of question : https://brainly.in/question/16597386?referrer=searchResults

Check the picture below.

Justin should have multiplied 3.8 and 7.9 first

He is trying to evaluate the expression 12.5 + 3.8x, when x = 7.9.

This was Justin solution to the expression

12.5 + 3.8(7.9)

16.3(7.9)

128.77

Now let's do our own arithmetic,

12.5 + 3.8x

we have to substitute the value of x in the equation.

12.5 + 3.8(7.9)

Using PEMDAS principle, we have to multiply before addition.

Therefore,

12.5 + 3.8(7.9)

12.5 + 30.02

42.52

Hence, Justin should have multiplied 3.8 and 7.9 first

learn more on evaluating expression here: https://brainly.com/question/21528638

#SPJ1

Answer:

D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

Let μ = mean time to complete a role-playing game.

The company claims that their role-playing games take over 65 hours to complete, so the hypotheses are:

H₀: μ = 65       H₁: μ > 65

Therefore, this is a one-tailed test.

The significance level is 1%, so α = 0.01.

Find the value of the test statistic (z):

[tex]\textsf{sample mean }\overline{x}=63,\quad \sigma=10, \quad n=300[/tex]

[tex]\implies z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}=\dfrac{63-65}{10 / \sqrt{300}}=-2\sqrt{3}=-3.4641...[/tex]

Using the “Percentage Points of The Normal Distribution” table, the critical value is z = 2.3263 meaning the critical region is Z > 2.3263.

Since z = -3.4641... < 2.3263, the observed value of the test statistic lies outside the critical region.  Therefore, the result is not significant.

Conclusion

There is sufficient evidence at the 1% level of significance to fail to reject H₀ and to oppose the alternative hypothesis that the mean time to complete the role-playing game is more than 65 hours.

Answer:

A) Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

A = 2p and B = 1/p  are the values of a and b.

What does math division mean?

To divide this,

[tex]\frac{6p^{2} }{3p} = 2p[/tex]

Multiplying back through, we have

[tex]3p * 2p = 6p^{2}[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^{2} - 6p^{2} = 0[/tex]

Bring down the next term, 9p.

See how many times 3p goes into 9p = 9p/3p = 3

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

2p + 3 + 3/3p

The remainder term 3/3p will simplify to 1/1p or 1/p;

this gives us

2p + 3 + 1/p

Therefore, the answer is  A = 2p and B = 1/p

Learn more about division

brainly.com/question/21416852

#SPJ4

Answer: 80 degrees because a line is 180°.

So if you subtract

180 - 100 = 80°

Answer:

x=80°

Step-by-step explanation:

The measures of angle x and the 100° angle form a straight angle.

This straight angle is 180°.

You can subtract the measure of one angle from the whole to find the measure of the other angle.

180°-100°=80°

This means angle x is 80°.

These forecasts illustrate bias.

Therefore, these forecasts illustrate bias.

Know more about bias here:

https://brainly.com/question/24491228

#SPJ4

Answer:

Step-by-step explanation: Step 1: Make a table of that equation suppose x = 7. You can consider it like x+y = 7 in which x = will be 7 only and y will become 0.
Step 2:  To answer this on a graph.. make all four quadrants and mark the coordinates such a the value of x = 7 should lie on the x-axis and y = 0 lies on the y-axis.
Step 3: Draw a straight line at the coordinates you got which were (7,0)

Here you go :)

Answer:60*10-8*6

Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6

The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

The equation is given as:

60* 10-8* (3* 2)

Using PEMDAS, the first step is to open the brackets by multiplication So, we have:

60* 10-8* (3* 2)

60* 10-8*6

Then multiply the rest and subtract.

600- 48 = 552

Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

Read more about expressions at:

brainly.com/question/723406

#SPJ2

To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.

A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.

Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.

To learn more about sample and population, click here:

https://brainly.com/question/9295991

#SPJ4

Answer: I think its 4

Step-by-step explanation: because 4+9=13

Answer: Y= 1x + 0

Y=mx+b

Answer:

your answer is $2.55