If 3x + 13 = 19, find the value of 2x + 1. 2x + 1 =​

Answer:

Length of the original square garage = 16.7ft

Length of the new square garage= 20.5ft

Percentage increase in the length of the side = 23%

Step-by-step explanation:

Yossi used to have a square garage with 280 ft? of floor space. He recently built an

addition to it. The garage is still a square, but now it has 50% more floor space. What was the length

of one side of the garage originally? What is the length of one side of the garage now? What was the

percent increase in the length of one side?

Area of the original square garage = 280ft²

Area of a square = length²

280ft² = length²

Find the square root of both sides

√280ft² = √length²

16.7ft = length

Length of the original square garage = 16.7ft

Area of the new square garage = 280ft² + 50% of 280ft²

= 280ft² + 0.5 × 280ft²

= 280ft² + 140ft²

= 420ft²

Area of a square = length²

420ft² = length²

Find the square root of both sides

√420ft² = √length²

20.5ft = length

Length of the new square garage= 20.5ft

Percentage increase in the length of the side = (new - old) / old × 100

= (20.5 - 16.7) / 16.7 × 100

= 3.8 / 16.7 × 100

= 0.23 × 100

= 23%

Percentage increase in the length of the side = 23%

Answer:

A

Step-by-step explanation:

15*18=270.

270-46.50=223.5

223.5-129.95=93.55.

A. $93.55

Answer:

Answer: 5/12 or approx. 0.42

Step-by-step explanation:

The ball will displace as much water as its volume.

Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.

Volume of a sphere:

[tex]V_s=\frac{4}{3} \pi r^3[/tex]

The radius is half the diameter. The diameter of the sphere is 10, thus:

[tex]r = d/2 = 10/2 = 5[/tex]

5^3 = 5*5*5 = 25*5 = 125

[tex]V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125[/tex]

The volume of a cylinder, which will be the shape of the increase in water, is the following:

[tex]V_c=\pi r^2 h[/tex]

We know the radius r, as we know the diameter.

[tex]r=d/2=40/2=20[/tex]

[tex]V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400[/tex]

We are looking for the height of the cylinder, h, as that will be the height of the water rise.

Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:

[tex]V_s = V_c[/tex]

[tex]\frac{4}{3} * 125 * \pi = 400 * h * \pi[/tex]

We can get rid of pi by dividing both sides by pi:

[tex]\frac{4}{3} * 125 = 400 * h[/tex]

And now divide both sides by 400:

[tex]\frac{4}{3} * \frac{125}{400}= h[/tex]

Just reversing it and putting h to the left:

[tex]h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}[/tex]

I see that I can divide both the numerator and the denominator by 4:

[tex]h =\frac{125}{3 * 100}= \frac{125}{300}[/tex]

I'll now divide both the numerator and the denominator by 25 to simplify the expression:

[tex]h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}[/tex]

Answer: The water rises by 5/12 (five twelfths).

If I want an approximate decimal answer, I can simply run this expression in a calculator:

[tex]\frac{5}{12}[/tex] ≈ [tex]0.416666667[/tex] ≈ [tex]0.42[/tex]

The amount of water rise is 0.42 and this can be determined by using the formula of the volume of the sphere and the cylinder.

Given :

A stone is dropped into a barrel of water and sinks to the bottom.

The ball is completely covered by water.

The following steps can be used in order to determine the water rise in the barrel:

Step 1 - The formula of the volume of a sphere is used in order to determine the water rise in the barrel.

Step 2 - The volume of a sphere is given below:

[tex]\rm V_s=\dfrac{4}{3}\times \pi \times r^3[/tex]

Step 3 - Substitute the values of the known terms in the above expression.

[tex]\rm V_s=\dfrac{4}{3}\times \pi \times \left(\dfrac{10}{2}\right)^3[/tex]

Step 4 - Simplify the above expression.

[tex]\rm V_s = \dfrac{4}{3}\times \pi \times 125[/tex]   --- (1)

Step 5 - The volume of the cylinder is given below:

[tex]\rm V_c= \pi\times \left(\dfrac{40}{2}\right)^2\times h[/tex]   --- (2)

Step 6 - Equate expression (1) and (2) in order to determine the value of 'h'.

[tex]\dfrac{4}{3}\times \pi \times 125= \pi \times 400 \times h[/tex]

Step 7 - Simplify the above expression.

[tex]\rm h = \dfrac{4\times 125}{3\times 400}[/tex]

h = 0.42

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An infomercial selling a product for "five low monthly payments of just $99" is using the Installment Pricing sales tactic.

Sales tactics are those actions that are designed to build trust with potential customers and inspire to buy with confidence.

An installment purchase agreement is a type of contract that is used to finance the purchase of assets. The buyer pays the seller the full purchase price over time through a series of partial payments under the terms of such an agreement. Interest, whether stated or implied, is included in the payments.

Installment payments are when a customer pays a bill in small amounts over a set period of time.

Therefore, Option (d)  is correct.

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Answer:

24

Step-by-step explanation:

Answer:

1024 viruses

Step-by-step explanation:

1 (x2)

2 (first division) (x2)

4 (second) (x2)

8 (third) (x2)

16 (fourth) (x2)

32 (fifth) (x2)

64 (sixth) (x2)

128 (seventh) (x2)

256 (eigth) (x2)

512 (nineth) (x2)

1024 (tenth)

There will be around 1024 viruses, from single virus, in the system after 10 divisions. This is related to Linear equation.

In the question we are provided with the information that the virus divides itself into two, at every time interval.

Hence, in the number system, we can write it down as 1, 2, 4, 8....to 10th divison. The linear equation will  be 2(2)^n-1.

Where n is equal to number of divisions, and the value 2 is the virus bening multiplied by 2.

Hence the value after 10th division will be 2(2)^10-1

2×2^9 = 1024.

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The blue and red light will flash together after every 24 seconds.

What is LCM ?

LCM is the Least Common Multiple of at least two numbers, It is the smallest number that will be completely divisible by both the numbers.

The blue light flashes every 8 seconds

The red light flashes every 12 seconds

The time at which they will flash together can be determined by finding their LCM

LCM of 8 and 12 is 24.

Therefore, after every 24 seconds, they will flash together.

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PREACH! BLM!!!! Trump is out and even tho he doesn't want to admit he lost, Biden won fair and square. If people support Trump than support him, but I tried to support him so many times trying to say positive stuff about him to make myself like him but it didn't work. Sorry but he about to lose his job fair and square.

Answer:

Step-by-step explanation:

It’s v208

Step-by-step explanation:

Putting values of z and w

7z + 8w

7(8) + 8(8)

56 + 64

120

Answer:

Step-by-step explanation:

Putting values of z and w

7z + 8w

7(8) + 8(8)

56 + 64

120

Answer:

(2,-7)

Step-by-step explanation

0x,3y         1x,-2y         (2,-7)

                Midpoint

the midpoint is +1x -5y so you would do this again to the midpoint so +1x=2x and -5y= -7 making it (2,-7)

Answer:

4/5 of his crop

Step-by-step explanation:

1/4 of an hour which is 60 minutes is 15 minutes mean 1/5 of his crop is planted in 15 minutes x 4 = 4/5 of his crop is planted within a 60 minute span

Answer:

130 mg

Step-by-step explanation:

As the statement indicates that the daily recommended amount of calcium is 1,000 mg and that Velveeta contains 13% of that, you have to calculate the 13% of 1,000 to find the answer:

1,000*13%=130

According to this, there are 130 mg of calcium in one serving of Velveeta.

Answer:

a = 7

Step-by-step explanation:

Expand the brackets

2 + 5a + 15 = 6a + 10

Rearrange by collecting the like terms

17 - 10 = 6a - 5a

7 = a

Answer:

If its -2x^2+17 the answer would be -183.

Step-by-step explanation:

-2(100)+17

-200+17

= -183

Answer:

Is this function inverse or symmetrical or what

Step-by-step explanation:

Answer: width would be 7 feet and the length would be 26

Step-by-step explanation:

width : w

length: 19 +w

2l + 2w = 66

2(19+w) + 2w= 66 distribute

38 + 2w + 2w = 66 add the w values

38 + 4w =66 subtract 38 from both sides

4w = 28 divide by 4

w= 7

19+7= 26

l=26

Answer:

.83

Step-by-step explanation:

hundredths means it is a decimal

In fraction form, it means over 100

83/100

.83

Answer:

0.83

Step-by-step explanation:

Just look at the part where it says hundredths or has the "ths" and youl know how to write it. However, not all types of standard forms are the same some have "and" in them and that means that you should put a decimal point.

Answer:

4/11

Step-by-step explanation:

Infants are 4 out of the 11 children total.

Answer:

4/15

Step-by-step explanation:

Answer:

The square root of 58 is a rational number if 58 is a perfect square.

Step-by-step explanation:

It is an irrational number if it is not a perfect square. Since 58 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 58?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

is this what you needed or

The square root of the number is A = √58 is not a rational number

Given data ,

Let the first number be represented as p

where the value of p = 58

Now , the square root of the number is expressed as

A = √58

The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.

It is used to express the roots present in the number.

So , A = √58

On simplifying , we get

A = 7.6157731058639082856614110271583...

On further simplification , we get

A = the square root of 58 is not a rational number

Hence , the square root of 58 is an irrational number because it cannot be expressed as a fraction of two integers

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Step-by-step explanation: 29-8=21 so im guessing just subtract bc from Ac and that's your evidence maybe?

Answer:

i´ḿ confused

Step-by-step explanation:

Answer:

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = y2 - y1 / x1 - x2

m(x1 -x2) = y2 -y1

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

Multiply both sides by (x2 - x1)

m(x2 - x1) = y2 - y1

Add y1 to both sides

m(x2 - x1) + y1 = y2

y = m(x2 - x1) + y1

Answer:

11

Step-by-step explanation:

9+2=11

Answer:

(x+7y)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x + 7y)(x + 7y)

x^2 + 7xy + 7xy + 49y^2

x^2 + 14xy + 49y^2

Answer:

B. (x² + 12)(x + 2)

Step-by-step explanation:

Step 1: Write expression

x³ + 2x² + 12x + 24

Step 2: Group and factor

x³ + 2x² → x²(x + 2)

12x + 24 → 12(x + 2)

Step 3: Combine factors

(x² + 12)(x + 2)

Answer:

-2, -12

-1,-3

0,0

1,-3

2,-12

Step-by-step explanation:

Used algebraic calculator