Jack had $25. He went to the grocery store and bought a few things. When he paid, he got $8 change.
How much money did he spend

The algebraic property illustrated is the commutative property of multiplication

The properties of algebra are those properties mostly used in simplifying algebraic expressions.

Algebraic properties are:

From the expression given we have

4/5 • 5/4 = 1

= 4/ 5 × 5/ 4

= 1

Thus, the algebraic property illustrated is the commutative property of multiplication

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Answer:

it is raining if and only if the ground is wet

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

Hope this helps!

Charlie would save $143.8 after 7 months.

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer:

Hope the picture will help you

Answer:

Step-by-step explanation:

To find the two consecutive natural numbers whose sum is 575, we can set up the following equation:

x + (x+1) = 575

where x and x+1 are the two consecutive natural numbers.

We can solve this equation by combining like terms:

2x + 1 = 575

Subtracting 1 from both sides, we get:

2x = 574

Dividing both sides by 2, we get:

x = 287

Therefore, the two consecutive natural numbers are 287 and 288. Our final answer is 287, 288.

Answer:

287,288

Step-by-step explanation:

Question

The sum of two consecutive natural numbers is 575. Find the numbers

soln

x +( x + 1) = 575

x + x + 1 = 575

2x + 1 = 575

2x = 575 – 1

2x = 574

\( \frac{2x}{2} = \frac{574}{2} \)

x = 287

since we got x as 287, lets solve(x+1)

by substituting

287 + 1 = 288

hence the consecutive numbers are 287,288

Check

287 + 288 = 575

we are correct.

i hope this helps

Answer:

3

Step-by-step explanation:

5 × 3 -15 = 15 - 15 = 0

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

\(\frac{į}{3}\)

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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The mean and standard deviation (in ) of the sampling distribution of the difference in sample means \(\sigma_1\) -  \(\sigma_2\) = (7)² ÷100+ 6² /150.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Level A:

S.D. = 7

Level B: Mean = 20

S.D. = 6

So, \(\nu_1\) = 22

\(\nu_2\) = 20

Then,  \(\nu_1\) - \(\nu_2\)   = 22-20=2

and, \(\sigma_1\) -  \(\sigma_2\)

= (7)² ÷100+ 6² /150

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Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

Here's how I will do it:

1. Recite the Pythagorean theorem, which is \(a^{2} +b^{2} =c^{2}\)

2. Substitute the variables of a and b, so the equation will look like this \(3^{2} +6^{2} =c^{2}\) now.  

3. Simplify the equation which gives you, \(9+36=c^{2}\). Simplifying more would give you \(45=c^{2}\).

4. Solve for the c value :

\(c=\sqrt{45}\)
Plug this into a calculator and it will give you 6.70820....
Rounding to the nearest tenth will give you, about 6.7.

The length of the hypotenuse of a right triangle can be calculated using the Pythagorean theorem: c^2 = a^2 + b^2.

Given that a = 3 meters and b = 6 meters, we can substitute those values into the equation:

c^2 = 3^2 + 6^2

c^2 = 9 + 36

c^2 = 45

c = sqrt(45)

c = 6.7 meters

Rounding to the nearest tenth, c = 6.7 meters becomes c = 6.7 meters.

Answer:

im preety sure its 561500

Step-by-step explanation:

4.1% x 4 is 61500 + 500000 = 561500

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

It will take Sarah approximately 15.9 years to pay off the loan.

To determine how long it will take Sarah to pay off the loan, we can use the formula for the number of periods required to pay off a loan:

\(\(n = \frac{{\log\left(\frac{{P \cdot r}}{{P - M \cdot r}}\right)}}{{\log(1 + r)}}\)\)

Where:

n is the number of periods (in this case, the number of months)

P is the principal amount (loan amount), which is $300,000

r is the monthly interest rate, which is 0.525% or 0.00525 (expressed as a decimal)

M is the monthly payment, which is $1,925

Substituting the values into the formula, we have:

\(\(n = \frac{{\log\left(\frac{{300,000 \cdot 0.00525}}{{300,000 - 1,925 \cdot 0.00525}}\right)}}{{\log(1 + 0.00525)}}\)\)

Using a calculator to evaluate the logarithms and perform the division, we find that \(\(n \approx 190.6\)\) months.

Since we are asked to determine the time to the nearest tenth of a year, we divide 190.6 by 12 to convert it into years:

\(\(\frac{{190.6}}{{12}} \approx 15.9\) years\)

Therefore, it will take Sarah approximately 15.9 years to pay off the loan.

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Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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Answer:

Step-by-step explanation:

The volume of the prism:

If each of the dimensions is doubled, then the volume becomes:

The larger prism has 8 times greater volume

Answer:

it is correct I think it's right

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

3x + y = -6

y = -3x - 6

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -3 is 1/3

Answer:

I think the answer would be slope is -3...as well as the y-intercept is (0,-6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

9b²c² = (3bc)²

100m²n⁶ = (10mn³)²

I hope I've helped you.

Based on the value of the angles in this triangle, the value of x can be found to be 82 degrees

The interior angles of different polygons always add up to a certain number of degrees. For instance, the interior angles of a heptagon add up to 900 degrees.

In triangles, the the interior angles will always add up to 180 degrees. The value of x can then be found by the formula:

180 = 52 + 46 + x

x = 180 - 52 - 46

x = 82 degrees

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Answer:

n = 6

Step-by-step explanation:

(2.4 × 10^3) × (3 × 10^n) = 7.2 × 10^9

First lets solve the parentheses:

(2.4 × 1000) × ( 3 × 10^n)  =  (7.2 × 1000000000)

2.4 × 1000 = 2400 so...

2400 × (3 × 10^n ) = 7200000000

Next lets divide:

7200000000/2400 = 3000000

So now we have...

(3 × 10^n ) = 3000000

Even though we just divided we have to divide again so...

3000000/3 = 1000000

then to get the answer of n we have to figure out how many times to the power of 10 do we get 1000000.

one easy but time consuming way is

dividing it by ten till you get to one and you would get the same answer. You choose to do that way then that works for your.

There are also other way to figure that out but your teacher teaches you an easier way to figure it out.

Answer:

0.45%

Step-by-step explanation:

divide 18 by 40

Answer:

45%

Step-by-step explanation:

18 divided by 40 equals .45 which becomes 45%