The length of an equilateral triangle is increased by 7 inches, so the perimeter is now 36 inches. Find the original length of each side of the equilateral triangle.

Answers

Answer 1

The original length is 5 inches per side.

Related Questions

Given the function f(x) = 2x-5/3, which of the below expression is correct?

F^-1(x) = 5-2x/3

F^-1(x) = 3x-5/2

F^-1(x) = 3x+5/2

F^-1(x) = -2x - 5/3

Answers

I think you’re subtracting 5. So now it’s f^-1(x)= 3x+5/2. Not too sure but hope this may help. So, C.

if the temperature at 9:00 pm was 12 degrees farenheit,and after 6 hours the temperature dropped to 6 degrees Fahrenheit below 0,what was the rate of change in temperature per hour?

Answers

12-6 = 6
6-6=0
6 is the rate of change in temperature 6 hours
Then 1 is the rate of change in temperature is 1 hour

is a simplified version of 5(x+8)-10x =60

Answers

5(x+8)-10x =60
5x + 40-10x = 60
5x-10x = -5x
40-5x = 60
Subtract 40 from both sides
-5x = 20
X= -4

HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Give me 5 fun facts about Octogons!

Answers

They are the shape of stop signs.
They have 8 sides.
They can be constructed with a straightedge and a compass
They form patterns on some oriental rugs.
Janggi ( a game uses octagonal pieces). Look this up.

3×1 1/2=3×6/3=18/3=6

Answers

Hannah completed the multiplication below and said she needed 6 cups of chips for 3 batches of bars. Hannah completed the multiplication below and said she needed 6 cups of chips for 3 batches of bars. Whats Hannah's error?
3*1 2/3 = 3 *6/3=18/3=6
Possible explanation: Hannah did not write the mixed number, 1 2/3, as a fraction correctly, 1 2/3 is not equal to 6/3

5 cups: explanation: first 1 wrote 1 2/3 as a fraction. 1 2/3 = 3/3+2/3=5/3, then I multiplied 3 x 5/3 = 15/3=5 = True
Thus: Hannah needs 5 cups for 3 batches of bars

A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.

Answers

Base length = 2 + height
Height = 6
Base length = 8
Volume of pyramid = width x length x height /3 = 8 x 8 x 6/3 = 128 cm³

Answer:

128

Step-by-step explanation:

Just did the test ;)

A bakery supplier receives an order for 2 tons of flour from a bakery chain. The flour is shipped in crates. Each crate holds eight 10-pound bags of flour. How many crates does the supplier need to ship to fulfill the order?

Answers

2 tons = 4000 pounds
8 x 10 = 80
4000 \ 80 = 50
The supplier needs to ship 50 crates.
Hope this helps

What do you draw to show that 50,000 pennies is equivalent to 100 five dollar bills?

Answers

draw a penny with the number 50,000 about it. Then draw an equal sign and draw 5 100 dollar bills.

draw a few pennies with an equal sign next to 100 five dollar bills

Can anyone solve this?

Answers

C because stating at 1 if you add 2 you get 3 for x
then multiply 3 by 2 to get 6 so you would have (3,6)

In a survey of 398 students, 52% said they loved music. Use estimation to explain how many students loved music. PLZ HELP I HAVE THIS FOR HOMEWORK RIGHT NOW AND I NEED TO FINISH IT!!!!!

Answers

52 percent of 398 is 206.96 that's the answer

We have 398 students with 52% that love music. To find the percentage for this problem, we can use this equation.
S= total number of students in the survey
M= music lovers
S• (52/100)=M
We have to divide the percentage by 100 because that allows use to calculate under 1, so there isn’t an increase in anyway, it should be less than the initial number. So if we multiply 398 by 52, we would get more than 100 percent, using 1 as 100 for percentages allow for an increase or decrease.
398•.52=206.96
For estimation, we can say there are about 400 students and we have to find 50%. Half of 400 is 200, which is a close estimate. So around 200 students in the school share a love of music.

Radius is 8 what is the area of the circle then ?

Answers

Hello!

We must use a certain formula to find the area of a circle. The formula is:

A = pi × r^2

Pi = Approximately 3.14

Radius = 8 cm

Substitute:

A = pi × r^2

A = 3.14 × 8^2

A = 3.14 × 64

A = 200.96

ANSWER:

The area of the circle is approximately 200.96 cm^2.

Did it tell u to use pi or 3.14
Using 3.14 itll be 200.96
Using actual pi it be 201.0619298 then it depends where to round

Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how much will he pay?

Answers

First, you find the area of the figure. Use the formula a=h(b/2)

a=h(b/2)
a=47(98/2)
a=47(49)
a=2303

Now, you multiply that by $42.50 to find out how much he will pay.

2,303x42.50=97,877.50.

He will pay $97,877.50.

To find the area of a triangle, multiply the base by the height and divide by 2.
The figure shows a base of 98 ft and a height of 47 ft.

[tex] A = \dfrac{bh}{2} [/tex]

[tex] A = \dfrac{98~ft \times 47~ft}{2} [/tex]

[tex] A = 2,303 ~ft^2 [/tex]

Now that we know the area, we multiply it by the cost of the land per square foot.

2,303 ft^2 * $42.50/ft^2 = $97,877.50

He must pay $97,877.50

Write 6 percent as a decimal

Answers

0.06 is 6% as a decimal

0.06 because Move the decimal point two places to the left, adding in zeros as needed and then thats it.

find the surface of the area of the rectangular prism 16m 5m 14m

Answers

Total Surface Area = 2(16 x 5) + 2(5 x 14) + 2(14 x 16)
Total Surface Area = 160 + 140 + 448
Total Surface Area = 748 m²

------------------------------
Answer: 748 m²
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Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3[pie] in^3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.

(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

Help ASAP!
Please Be Sure Answer is 100% CORRECT!

Answers

I have these same questions but the way i solved them i did

A: 1/3 x 3.14 x 2*2 x 8 = 32/3 = 2000 divided by 32 = 63 scoops
The formula is 1/3 x 3.14 x r*2 x h
B: 1/3 x 3.14 x 8*2 x 8 = 128/3 = 2000 divided by 128 = 16 scoops

What is the value of x?

Enter your answer in the box.

Answers

These are vertical angles. Vertical angles are congruent, so you can set their values equal to each other to solve for x.

2x + 2 = 3x - 52 Vertical angles are congruent
2x = 3x - 54 Subtract 2 from both sides
-x = -54 Subtract 3x from both sides
x = 54 Divide both sides by -1

Answer:
x = 54

Pedro wants to paint his room, which is 12.5 feet by 11.5 feet, with an 8-foot-high ceiling. How many total square feet will Pedro need to paint?

Answers

Maybe 7.36 set up a proportion

NEED HELP ASAPPP

Figure TUVW is transformed to T’U’V’W’, as shown:

Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?

Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answers

The first sequence of transformation.
If you look closely, the reflection was made from the y-axis. The reflection would be above or below the x-axis if the reflection was to be made through the x-axis.
Also, the figure was moved 2 units to the left. Hence the reflection was moved 2 units from where the reflection should originally be which was (-6,-4).

Hope this answer is helpful.

The correct answer is Reflection across the y-axis and then Translation 2 units to the left. In a translation, the sign on the x of every point is changed. The reflected image is too far to the left to be just a reflection or even a rotation. That is why I said it was translated 2 units

Step-by-step explanation:

Please help asap

The table below shows which sports events have sold out and which have not.

Answers

A. Volleyball has a 0.4 chance of being sold out because 2 out of 5 were sold out and that equals 0.4.

B. To answer this, you need to find the number of predicted outcomes over the total number of possible outcomes. In this case it is 6/10 or 3/5 chance/probability. Between the 2 sports events there were 6 sold out compared to the total of 10.

Find two ratios equal to the given ratio : 1/5:1 3/5

Answers

Hi there!

To find two ratios equal to the given ratio, all we need to do is multiply both sides of the ratio by the same number.

1:3 is an equal ratio because we multiply both sides of it by 5.

2:6 is also an equal ratio because we multiply both sides by 10.

Hope this helps!

A parachutist's speed during a free fall reaches 207 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.

Answers

The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.

Explanation:
We start out with the ratio 207 km/1 hr.

We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.

We know that 1 hr = 60 minutes, so we have 207000 m/60 min.

We also know that 1 min = 60 seconds, so 60 min = 60*60 = 3600 sec; this gives us 207000 m/3600 sec.

Dividing this, we get 57.5 m/s.

In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.

Answer:

1150 meters

Step-by-step explanation:

Speed of parachute = 207 kilometers per hour

Speed of parachute in meter /second = (207 x 1000)/ (60 x 60)

= 57.5 meter /second

Parachute fall for 20 seconds with a speed of 57.5 meter /second, Thus the distance covered in 20 seconds

= 57.5 meter /second x 20 seconds

= 1150 meters.

? - 12 = -6

What is the missing number?

Answers

the missing number is 6

The original price of an item is $130. The item is on a discount of 1/5 off the original price. You then pay a sales tax of 10%. What is the amount you paid for the item?

Answers

Hello!

First, find 1/5 of $130, and then subtract that from the original price of the item, because it is a discount.

Divide the price of the item by 5.

130 ÷ 5 = 26

130 - 26 = 104

So, the price of the item (not including tax) is $104. Now, we must calculate the sales tax and then add that onto the price of the item, as tax is money collected by the government.

To calculate the tax, multiply the discounted price of the item by the percentage of tax, and then add it.

104 × 10% = 10.4

104 + 10.4 = 114.4

ANSWER:

The amount of money you paid fot the item is $114.4.

What is the volume of the composite figure ?

Answers

Do length x width x height for each of the shapes and add the products so )8 x 15 x 6) + (16 x 15 x 6) + (24 x 15 x 6) and the sum should be your answer. 4320 in[tex]^2[/tex]

Last summer, Mike received a tip from 35% of his babysitting customers. If he had 20 customers, how many customers gave Mike a tip?

Answers

7 I think because you multiply 20 times 0.35

To solve you'll set up a proportion.

35/100 = x/20

cross multiply.

100x = 700

Now divide by 100.

x = 7

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finished Level 2 in 28 minutes. What is your percent of change?

Answers

The first step to solve this problem is to compute how much change in minutes were you able to have today compared to the last week.

32 minutes – 28 minutes = 4 minutes faster than last week

To compute the percent of change you have to divide the change in minutes to the duration in minutes for the last week:

4 minutes / 32 minutes = 0.125 or 12.5% faster than last week

For your party you purchased balloons for $.79 each. You spent a total of $11.85. About how many balloons were purchased?

Answers

15 ballons were purchased

Let us suppose the number of balloons purchased is x in number.

It is given balloons are purchased for $.79 each

Cost of x balloons = .79x.

Total amount spent on purchasing balloons = $11.85

Cost of x balloons = Total cost of balloons.

.79x=11.85

With x .79 is multiplied .Opposite of multiplication is division.

We perform the opposite operation both sides

Dividing both sides by .79

x=11.85÷.79

x=15

Total number of balloons purchased is 15.

PLEASE HELP

If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.

Answers

Answer: 40%

=========================================

Work Shown:

"given that it's a senior" is an important piece of info that tells us to only focus on the "seniors" column. The word "given" is an indication that we know this information 100%

There are 5 seniors (2+3 = 5) and 2 of them are male. So 2/5 = 0.40 = 40% of the seniors are male. The probability of selecting a male, if we know this person is a senior, is 40%

The probability that a randomly selected senior student is male is 40%.

Given Data:

We have a two-way table representing the number of students by gender and grade level.

The relevant information is that there are 2 male seniors.

Event Definitions:

Let’s define the following events:

A: Student is male.

B: Student is a senior.

Conditional Probability:

We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).

We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]

Calculations:

From the table, we know:

Number of male seniors (A and B): 2

Total number of seniors (B): 5

Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]

Rounded Answer:

Rounding to the nearest whole percent:

([tex]0.4 \times[/tex]100% = 40%)

Summary: The probability that a randomly selected senior student is male is 40%.

the ratio of the areas of two similar polygons is 81:64. If the perimeter of the first polygon is 32 cm, what is the perimeter of the second polygon? Round to the nearest tenth

Answers

In two similar polygons, the ratio of their areas is the square of the ratio of their sides. If the sides of any polygon are a and b then :

Ratio of area =[tex] a^{2} :b^{2} [/tex]

Given ratio of area =81:64

Or 81:64=[tex] a^{2} :b^{2} [/tex]

Taking root of both sides

9:8=a:b

The ratio of perimeter of any two similar polygon is equal to the ratio of sides.

Ratio of perimeter = a:b

Perimeter of first polygon is 32 cm.

Let the perimeter of second polygon be x.

32:x=a:b

Or, 32:x=9:8

[tex] \frac{32}{x} =\frac{9}{8}
[/tex]

Cross multiplying

9x= (32)(8)

9x=256

Dividing both sides by 9

x=28.4.

The perimeter of second polygon is 28.4cm.

Estimate how many 12 inch rulers will be about the same length as a sheet of paper

Answers

The answer is 1 that's what I got cus I actually mesured my paper and it is 11 inches so it's 1 plz gimme brainliest!!!!

The correct answer is one 1.

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