Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, for the potatoes. Which best describes the reasonableness of Jonathan’s solution?
Jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product.
Jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product.
Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.
Jonathan’s answer is unreasonable because 1 times 8 is 8, and 8 is not very close to 15.77.

Answer:

Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

Step-by-step explanation:

We need to find the slope of points (5,-5) and (-4,5)

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]

So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

Answer:

21 man

Step-by-step explanation:

u have to do the work and get the answer

Answer:

Step-by-step explanation:

answers to what

Answer:

Step-by-step explanation:

Area of parallelogram = base * height

                                    = 3 * 3

                                    = 9 square units

Answer: C

Step-by-step explanation:

step 1: I

step 2: just

step 3: took

step 4: it

final answer: i took the test and got a 100 so its definitely C.

<3

Answer:

Mercantilism - trading or selling various of goods or products for commission

import - to bring goods in form another source/place

export - send goods to another coutry for money or other items

enumerated article - english colonies could export only to England in the 17th century were sugar, tobacco, cotton and indigo (types of goods)

Navigation Acts - An act that allowed ONLY english ships to bring goods into England, and let north American export their items to England

Dominion of New England - A bunch of England colonies made by king James II of England in 1686 used to tighten British administration of their colonies.

English Bill of Rights - A act that was signed by the law used to ultimately give the parliament power over the monarchy  

Answer:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Step-by-step explanation:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Cost of goods sold = Sales - gross profit

Cost of goods sold = Revenue – Net Income – Expenses

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

Answer:

4 team could enter  5 people in each team

Step-by-step explanation:

there will be 6 teams, each team having 3 girls and 4 boys

Step-by-step explanation:

6*3=18

6*4=24

The system of equations used to solve this problem are: x+y=130 and

y=20-4x. For this system x=-110/3 and y=500/3.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You should convert the text into a math expression:

x+y=130 (1)

y=20-4x  (2)

Thus, you should replace the value of y given in equation 2, into equation 1. The,

x+20-4x=130

-3x=130-20

3x=-110

x= - 110/3

Therefore, y will be:

y=20-4*(- 110/3 )

y=20+440/3

y=60/3 +440/3

y=500/3

Learn more about the system of equations here:

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Answer:

33/4

Step-by-step explanation:

Answer:

4 and -8

Step-by-step explanation:

Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0

[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]

Answer:

it helps simplify difficult problems . it breaks down expressions into the difference or the sum

of two numbers.

Answer:

It is 150 players

Step-by-step explanation:

You just cross multiply and divide.

8. 12

---- = -----

100. x

12×100 = 1,200

1,200 ÷ 8 = 150

Hope this helps!

Answer:

n = 2

Step-by-step explanation:

Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.

Thus:

[tex] \frac{10}{n + 2} = \frac{6}{3} [/tex]

[tex] \frac{10}{n + 2} = 2 [/tex]

Multiply both sides by (n + 2)

[tex] \frac{10}{n + 2}(n + 2) = 2(n + 2) [/tex]

[tex] 10 = 2n + 4 [/tex]

Subtract 4 from each side

[tex] 10 - 4 = 2n + 4 - 4 [/tex]

[tex] 6 = 2n [/tex]

Divide both sides by 2

[tex] \frac{6}{2} = \frac{2n}{2} [/tex]

[tex] 3 = n [/tex]

n = 2

Answer:

it's 2

Step-by-step explanation:

a= -3/4

b=0

c=2

Answer:

the answer is 4

Step-by-step explanation:

Answer:

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

Answer:

Step-by-step explanation:

P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =

0.60+0.4/2

0.60+0.2

= 0.8

Considering the standard normal distribution table, we have a = 0.80, thus

z =(x-m)/std = 0.80

the maximum x = m + 0.80×std =

Where m = 246300

Std = 15000

246300+0.80×15000

= 246300+12000

= 258300

For the minimum x

x = m - 0.80×std

x = 246300-0.80×15000

246300-12000

= 234300

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

Answer:

8.25 batches.

(Or, if rounding to the lowest amount of batches, 8 batches)

Step-by-step explanation:

We have in total 5 1/2 cups of sugar.

And the recipe calls for 2/3 cups of sugar.

So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:

[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]

Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.

Therefore:

[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]

To divide fractions, we keep, change, and flip. Therefore:

[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]

Multiply straight across:

[tex]=\frac{33}{4}=8.25[/tex]

So, we can make 8.25 batches.

Or, we can make 8 full batches.

Answer:

between 500 to 600 because I like

Answer:

C . None of these

Is the answer.

Step-by-step explanation:

Because parallel lines do not intersect.

And perpendicular lines form angle of 90°.

Answer:

None of the above.

Step-by-step explanation:

Those lines are intersecting lines. Parallel lines face each other and never meet. Perpendicular lines do meet, but they form a 90 degree angle, which this doesn't. Intersecting lines meet, but don't form a 90 degree angle.

Hope this helps!

Answer:

Step-by-step explanation:

the sum of 29.178 and 9.65

29.178

+ 9.650

= 38.828

Sum =38.828

Deduct 18.729 from the sum

38.828

-. 18.729

=20.099

So the answer is 20.099

Answer:

12 over 25

Step-by-step explanation:

48 over 100 = 12 over 25

Answer:

ratioed by ur name

Step-by-step explanation:

Answer:

we have the same question

Step-by-step explanation:

please tell me what you got when you receive an answer

Answer:

30 degrees

Step-by-step explanation:

we need to compute angle A and angle B (see figure below)

hence,

[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]

this implies that A=60 degrees.

Since interior angles of a triangle add up 180 then,

A+B+90=180

60+B+90=180

B+150=180

B=180-150

B=30 degrees

which is the smallest angle

Answer:36%

Step-by-step  have 12+18+20 which equals 50 and 18 out of 50 is 36%

The percentage of the students who chose chocolate as their favorite ice cream flavor will be 36%

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, there are  18 students voted for chocolate,12 students voted for strawberry and 20 students voted for vanilla.

The total number of students = 18+12+20 = 50

A percentage of the students chose chocolate as their favorite ice cream flavor is,

%choclate = (Number of students voted for chocolate / Total student)×100

%choclate =(18/50)×100

%choclate =36%

Learn more about the percentage here:

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Answer:14

Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14

Answer:

1  2/6 - 3/6

Step-by-step explanation:

This should be right if you are keeping the same amount but want to just change up the numbers!