MATHEMATICS MIDDLE SCHOOL

2(1 - 3r) + 3(r + 2) > 5

Answers

Answer 1

Answer:

Answer: r < 1

Step-by-step explanation:

1. 2(1 - 3r) + 3(r + 2) >5

2. Distribute: 2 - 6r + 3r + 6 > 5

3. Combine like terms. I'll put these in parentheses so you can see them better: (2 + 6) + (-6r + 3r) -> 8 -3r > 5

4. Isolate the variable(r) by subtracting 8 from both sides: -3r > -3

5. Isolate the variable(r) by dividing. Keep in mind the sign flips when multiplying or dividing by a negative: r < 1

6. Answer analysis, if you don't understand: The answer is r < 1. Meaning r is anything smaller than 1, so 0 and all the negative numbers.

Answer 2

Answer:

Answer7

Step-by-step explanation6

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Elimination 2x-3y=-3 5x+3y=17 2) x+3y=10 2x-3y=2 3) 4x+3y=-1 2x+5y=3 4) 5x+7=6 10x-3y=46 5)4x-5y=-11 2x+y=5 6)3x-2y=0 9x+8y=7
What is two thirds times five
456 students participated in switch day the students raised money for charity so that the principal would approve of the day if the total amount of money raised was $912 and each student brought in the same amount of money how much did each student raise?
To decrease an amount by 60% what single multiplier would you use?

Please help me with this.A rectangular field is 65
meters wide and
105
meters long.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.

Answers

First, let's get the perimeter of the rectangle:
$P=2W+2L$
$P=130m+210m$
$P=340m$
Then, let's get the area of the bigger one:
$A=WL$
$A=65m*105m$
$A=6825m^2$

Then let's try using a rectangle with a smaller ratio:
$P=100m+240m$
$P=340m$
Then:
$A=50m*120m$
$A=6000m^2$

If you used a square:
$P=170+170$
$P=340$
$A=WL$
$A=85^2$
$A=7225$

There you have it. A rectangle with a smaller area with the same perimeter.
What does it show? The smaller the difference you get from width and length, the larger the area is.

Well the L and the W could be 75 and 95
Because 75 + 75 + 95 + 95= 340
And 75 x 95= 7125
Same Perimeter, different Area
Glad to Help!

A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Hate wants to buy two shirts priced at $19 each. How much will she pay?

Answers

Answer:

$32.30

Step-by-step explanation:

19x.30 (to find the 30%)

5.7 needs to be take off of the second shirt.

19 (the first shirt) + (19-5.7) = $32.3

Final answer:

Hate will pay $32.30 for two shirts during the store's sale. This is calculated by adding the full price of the first shirt ($19) and the discounted price of the second shirt ($13.30).

Explanation:

To solve this problem, you need to first calculate the full price of two shirts. Each shirt is priced at $19, so two shirts would cost $38. Next, calculate the 30% discount on the second shirt, which would be 0.30 * $19 = $5.70. This means that the second shirt will cost $19 - $5.70 = $13.30. Therefore, the total cost for two shirts with the discount applied would be $19 (the price of the first shirt) + $13.30 (the reduced price for the second shirt) = $32.30. Thus, Hate will pay $32.30 for two shirts during the store's sale.

Learn more about Percentage Discount here:

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Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. If she was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most likely be the probability of drawing an orange block (round to the nearest hundredth)? A) 0.14
B) 0.19
C) 0.20
D) 0.25

Answers

There is a total of 16+11+9+15+8+20 = 79 blocks. Since she is replacing the block each time it is drawn, the probability that she draws an orange block is always the same (10 draws or 500 draws). Since 20 of the blocks are orange, the probability would be

20/79 or

D) 0.25

Answer: D. 0.20

Explanation: I also have this question on this test and I got it right. :)

Sorry if I'm late answering this. :(

I need help Idk which one Is the answer

Answers

the answer is b to this problem !!

Answer:

C is the answer...hope this helps!

What is 7/12 as a percent?

Answers

7/12 is 58.33%
How do we change fractions to percents?
The steps are too simple.

First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction).
In the case above, 7 is the numerator and 12 is the denominator.

So, 7 ÷ 12 = 0.58333

Then, multiply the result by 100. 0.5833 x 100= 58.33

Finally, add the percent (%) sign to the result.

Therefore, 7/12 is 58.33%.

7/12 is 58.33%

Given,

7/12 in fraction form.

To convert fraction into percentage,

First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction).

In the case above, 7 is the numerator and 12 is the denominator.

So, 7 ÷ 12 = 0.58333

Then, multiply the result by 100. 0.5833 x 100= 58.33

Finally, add the percent (%) sign to the result.

Therefore, 7/12 is 58.33%.

Know more about percentage,

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A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.What is the approximate volume of the tent?
Use 3.14 to approximate pi, and express your final answer to the nearest tenth.
______ft3

Answers

Here's the formula for the volume of a cone:

$V=(1)/(3)\pi\ r^2h$

Plug in 3.14 for $\pi$ .
Plug in 6 for the height $h$ .
Our radius is half of our diameter. $r=6$ .

$V\approx\frac13*3.14*6^2*6$

6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...

$V\approx226.08$

Rounding to the nearest tenth...

$\boxed{V\approx226.1\ ft^3}$

Cone formula: 1/3( $\pi r^(2) h)$

Step 1(Fill in formula): 1/3((3.14)( $6^(2)$ )(6))
Step 2 (Solve): 1/3((3.14)(36)(6))
Step 3 (Solve): 1/3(678.24)
Step 4 (Complete) : 226.08ft³

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