Jackson gave Lena this expression to evaluate: 14(8 + 12). Lena said that to evaluate the expression was simple; just multiply the factors 14 and 20. Jackson told Lena she was wrong. He solved it by finding the product of 14 and 8 and then adding that to the product of 14 and 12.


a. Evaluate the expression using each student’s method.

b. Who was right in this discussion? Why?

Answer:

27.7 is you answer I'm like 89 percent sure

Answer:27.7

Step-by-step explanation: Since it is a right angle (90°) you do 90-62.3=27.7

Answer:

270 pounds

Step-by-step explanation:

half of 12 is 6, so 18. Then you take half of 180 and add to 180

Answer:

18 hours = £270

Step-by-step explanation:

Find how much he charges per hour. Divide:

\(\frac{180}{12}=15\)

So ha charges about 15 an hour. Multiply this price by the number of hours:

\(15*18=270\)

Therefore, he will charge £270 for a job that takes 18 hours.

OR

Set a proportional relationship since he charges a fixed amount:

\(\frac{price}{time}=\frac{price}{time}\)

Insert the appropriate corresponding values:

\(\frac{180}{12} =\frac{x}{18}\)

Solve for the price after 18 hours of work, represented by x. Cross multiply:

\(12(x)=180(18)\\\\12x=3240\)

Solve for x. Use inverse operations to isolate the variable. Divide both sides by 12:

\(\frac{12x}{12} =\frac{3240}{12} \\\\x=270\)

Therefore, after 18 hours, he will charge £270.

:Done

Answer: The correct answer is:

Probability of rolling a number less than 3: 2/6 or 1/3

Step-by-step explanation:

Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.

Probability of not rolling a number less than 3: 4/6 or 2/3.

Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D

Answer:

Question 10.

angle 1 = 137°

angle 2 = 43°

angle 3 = 137°

reasoning - vertically opposite angles are equal, and angles on a point total to 360 degrees

Question 11.

a) Vertical: I dont know sorry :(

b) Complementary: ∠c and ∠b

c) Suplementary: ∠c and ∠d

d) All adjacent: I dont know sorry :(

e) Find values of all angles, if angle c is 30°: ∠a = 90°, ∠b = 60°, ∠c = 30°, ∠d = 150°, ∠e = 30°

hope this helps :)

Answer:

One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction

Step-by-step explanation:

1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625

The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."

              The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.

              In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."

            Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.

           Mathematical representation:  \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)

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Answer:

it is 16 - 1/2n

Step-by-step explanation:

if we considered the number as n

Answer: You moltiply them by 4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Nope Because it is so-pose to be 200

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

Answer:

5,7, bernie

Step-by-step explanation:

its right bc ik it is lol

Answer:

1 1/5.

Step-by-step explanation:

To divide a fraction by another fraction you have to change the equation like "Keep, Switch, Flip".

For the problem 24/25 ÷ 4/5,

You KEEP the first fraction as is, so 24/25

Then, you SWITCH the sign from division to multiplication.

Finally, you FLIP the second fraction upside down, (the reciprocal). So it's 5/4.

The equation is now 24/25 * 5/4, which we can just multiply the numerators  and denominators. (or cross cancel first)

24 * 5 = 120

25 * 4 = 100

the fraction is 120/100. Simplified, it can be divided by 10 to make 12/10, and finally divided by 2 to make 6/5, or 1 1/5.

Answer:

I think the answer would be ⅖

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

a. 10,20,30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use this this will help you do LCM https://www.calculatorsoup.com/calculators/math/lcm.php

The LCM of those numbers are 60

So let’s try them all out.

Using the calculator

We are trying to get 60

So the answer is A.10,20,30

Answer:

?

Step-by-step explanation:

Step-by-step explanation:

5 3/4= 23/4

1 5/12= 17/12

23/4 = 69/12

69/12-17/12=52/12

as a whole fraction= 4 4/12

Answer:

4 4/12 Or if you need it simplified 4 1/3

Step-by-step explanation:

5 3/4 = 23/4= 69/12

1 5/12= 17/12

69/12 - 17/12 = 52/12

52/12 = 4 4/12

4 4/12 = 4 1/3

Answer:

2

1

0

Not:

4

9

1921131

Step-by-step explanation:

x needs to be equal or less than 3. It doesn't say that x cannot be negative so any number 3 and below is fine.

Not solutions would be any number above 3 in value

The three solutions for the inequality are 1, 2, and 3.

And, the three numbers that are not solutions are 4, 5, and 6.

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

The inequality is,

x ≤ 3

Now from the given inequality x ≤ 3,

The solution of the inequality is a number that is less or equal to 3.

Hence the possible three solutions for the inequality are,

x = 1, 2, 3

And, the three numbers that are not solutions are,

4, 5, and 6.

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Answer: Player B is the most consistent, with an IQR of 3.5.

Step-by-step explanation:

For Player A, the IQR is 2 (Q3 - Q1 = 3 - 1 = 2).

For Player B, the IQR is 3.5 (Q3 - Q1 = 5 - 1.5 = 3.5).

Therefore, Player B is more consistent, as their IQR is larger, indicating less variability in their scores.

Answer:

7 4/15

Step-by-step explanation:

7 4/15

Answer:

4 miles 4/15

Step-by-step explanation:

4 1/3 + 3 2/5 =

4 5/15 + 3 6/15 =

7 11/15 - 12 =

= 4 4/15

Answer:

The right answer is C.

\( \frac{ac}{bc} = \frac{df}{ef} \)

Option C is correct,  AC/BC=DF/FE represents proportionality relationship.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

△ABC ~ △DEF

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

ABC is a right angled triangle which have ninety degree at B

DEF is another right angled triangle with angle E is 90 degrees.

Proportionality means that as one quantity increases the other will also increase and the ratio of the quantities is the same for all values.

Among the options AC/BC=DF/FE represents proportionality relationship.

Hence, Option C is correct,  AC/BC=DF/FE represents proportionality relationship.

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Answer:

Step-by-step explanation:

75$ for the week

2000*0.15=300

so 300 and 75 are the numbers but I don't know what commission is, so you add or subract the numbers, do what you have to do.

Step-by-step explanation:

an = 3* (sqrt 2)^(n-1)   = 192    solve for n

           sqrt(2)^(n-1) = 64

                  n-1 =  log 64 / log (sqrt 2) = 12

                 n = 13  

Answer: 147,200

Step-by-step explanation:

An exponential function to model this situation = f(x) = 230,000(1-0.045)^8 and the predicted population in 2023 is, 159131.

The exponential function is a function that grows quicker and quicker.

Given that, starting in 2015 the population of a local town is decreasing at a rate of 4.5% per year, in 2015 there were 230,000 people living in this town,

The general form is f(x) = a (1 - r)^ x

f(x) = 230,000(1-0.045)^8

f(x) = 159131

Hence, the predicted population in 2023 is, 159131

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Relative minimum: The coldest temperature outside the car was -4°C.

The negative interval is: between the 110th and 170th kilometers, the outside temperature was below zero.

The increasing interval was: over the first 50 km, the temperature outside the car got warmer.

The relative minimum or maximum of a graph is:

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

A relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Thus, the relative minimum of the graph is -4°C.

The negative interval is between the 110th and 170th kilometers, the outside temperature was below zero.

The increasing interval was over the first 50 km, the temperature outside the car got warmer.

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Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

C

Step-by-step explanation:

I would first try to get that fraction into x/100 because 100 is the easiest to work with.

In order to get from 40 to 100, you multiply by 2.5

So we should multiply 29 by 2.5 also to make it evened out.

29 x 2.5 = 72.5

72.5/100

Now we will move the decimal two places to the left on both sides because 100. is the same as 100

72.5/100. turns into .725/1

The closest thing to .725 is .7

Answer:

B 0.6

Step-by-step explanation:

29/40=0.725

0.725 rounded down is 6

Answer: .50 cents

Step-by-step explanation:
We can model the function by subtracting one number over another. \(9.70-9.20=.50\)
This gives the additional charge per minute.

Answer: 5 guitar lessons

Step-by-step explanation:

BG = 18x + 20

AG = 22x

AG=BG when 18x + 20 = 22x

18x - 18x + 20 = 22x - 18x

20/4 = 4x/4

5 = x