A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
A. p=421−376
376
B. p=421−376
421
C. p=376
421−376
D. p=376+421
376

Answer:

y = [tex]\frac{1}{8}[/tex] x - 3

Step-by-step explanation:

Use the midpoint formula

Given (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (9, - 7), thus

midpoint = [ [tex]\frac{1}{2}[/tex] (7 + 9), [tex]\frac{1}{2}[/tex] (3 - 7 ) ] = (8, - 2)

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The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5x - 6 = 2y into this form by dividing all terms by 2

y = [tex]\frac{5}{2}[/tex] x - 3 ← in slope- intercept form

with y- intercept c = - 3 ⇒ (0, - 3 )

-------------------------------------------------------------

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂, x₁ )

with (x₁, y₁ ) = (8, - 2) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3+2}{0-8}[/tex] = [tex]\frac{-1}{-8}[/tex] = [tex]\frac{1}{8}[/tex]

y = [tex]\frac{1}{8}[/tex] x - 3 ← equation of line

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]3.14(6x)^{2} \\ \\ = 3.14 \times 36 {x}^{2} \\ \\ = 113.04 {x}^{2} \\ \\ [/tex]

Answer:

32 cm

Step-by-step explanation:

Radius=16 cm

Now

Diameter=2(radius)

Diameter=2(16)

=32 cm

32

Step-by-step explanation:

Cuz radius is half circle, so times that by 2 you get diameter

⭐ Answered by Foxzy0⭐

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Answer:

No, the expressions are NOT equivalent.

Step-by-step explanation:

Solve each:

11t - 4t

(11 × 2) - (4 × 2)

22 - 8

= 14

4t - 11t

(4 × 2) - (11 × 2)

8 - 22

= -14

14 is NOT equivalent to -14

Answer:

3/8 is smaller than 11/12

Step-by-step explanation:

3/8 is equal to 0.375 and 11/12 is equal to 0.91, which makes 3/8 a smaller number and 11/12 a bigger number.

Answer:

3x + 6 > x

2x > -6

x > -3

answer is d

Answer:

x > -3

Step-by-step explanation:

Answer:

5x + 13 = 123

     - 13   - 13

5x = 110

5x/5 = 110/5

x = 22

Your equation is unclear. Do you mean the following:

(15x+21)/3=5x+7 or 3(15x+21)=5x+7

If the left equation is the correct one, the left side simplifies to 5x+7=5x+7, which must mean all real numbers are correct solutions. Thus, it has infinite real solutions.

The equation (15x + 21)³ = 5x + 7 is a cubic equation. The number of solutions can be 0, 1, 2, or 3 solutions.

The equation is (15x + 21)³ = 5x + 7. To determine the number of solutions, we need to simplify and solve the equation.
Step 1: Expand the equation using the binomial theorem. This gives us: 3375x³ + 14175x² + 19305x + 9261 = 5x + 7.
Step 2: Combine like terms on both sides of the equation. This results in: 3375x³ + 14175x² + 19305x + 9254 = 0.
Step 3: This is a cubic equation. Cubic equations can have 3 solutions at most. However, it is not guaranteed that this equation will have 3 solutions. It can have fewer solutions or even no real solutions.
Therefore, the number of solutions for this equation is either 0, 1, 2, or 3 solutions. Further analysis or calculations may be needed to determine the exact number of solutions.

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the answer is A

Step-by-step explanation:

Answer:

A. x + y = 216 and Two-thirds x + StartFraction 4 Over 9 EndFraction y = 118.  ☁︎✮

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x represent the leg length

if we use the Pythagorean theorem we get:

x² + x² = 12²

then

2x² = 12²

Then

x² = 144/2 = 72

then

x = √(72)

 =8,485281374239

The probability that in a sample of 12 customers at Noodles & Company restaurant, none of them will order a nonalcoholic beverage is 0.020211.

In this question, we are given that the probability that a customer will order a nonalcoholic beverage at Noodles & Company restaurant is 0.48. We are asked to find the probability that in a sample of 12 customers, none of them will order a nonalcoholic beverage.

To find the probability that none of the 12 customers will order a nonalcoholic beverage, we can use the concept of independent events and the multiplication rule of probability.

The probability that a customer will order a nonalcoholic beverage is 0.48, so the probability that a customer will not order a nonalcoholic beverage is 1 - 0.48 = 0.52. Since each customer's decision is independent, the probability that none of the 12 customers will order a nonalcoholic beverage is (0.52)^12 = 0.020211.

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To simplify the expression 54, divide it by 2 and 3 to get the simplified result of 9.

To simplify the expression 54, you need to consider the properties of the number 54. First, note that 54 is divisible by 2. Next, check if it is also divisible by 3. If it is, continue dividing by 3 until you can no longer do so. In this case, 54 is divisible by both 2 and 3, so you can simplify it as follows:

Therefore, the simplified expression 54 is equal to 9. So, the correct answer is A. 20.

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Answer:52cm

Step-by-step explanation:

Step-by-step explanation:

[tex] (\frac{3}{2} ) \frac{9}{7} = \frac{3}{2} \times \frac{9}{7} = \frac{27}{14} \\ [/tex]

Answer:

it means 3/2 of 9/7

Step-by-step explanation:

those are fractions

Answer:

slope = - 1

Step-by-step explanation:

The slope of the curve m is measured by

m = [tex]\frac{dy}{dx}[/tex] at x = a

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = - 3x - x², then

[tex]\frac{dy}{dx}[/tex] = - 3 - 2x

x = - 1 → [tex]\frac{dy}{dx}[/tex] = - 3 - 2(- 1) = - 3 + 2 = - 1 ← slope at (- 1, 2 )

Answer:

  100°

Step-by-step explanation:

The larger one is 5/(5+4) = 5/9 of the total, so is ...

  5/9 × 180° = 100°

The measure of the larger angle is 100°.

Answer:

Step-by-step explanation:

Answer:

79716.98

Step-by-step explanation:

Answer:

Arc Length = 40

Step-by-step explanation:

Arc Length Formula:  S = rΘ

R = radius

Θ = Radians

Step 1:  Identify the radius and the radian angle

R = 8

Θ = 5 radians

Step 2:  Plug into the equation

S = (8)(5)

Step 3:  Solve

S = 40

Answer:  Arc Length = 40

Answer:

12 (-0.25)ⁿ

Step-by-step explanation:

recall that the general form for each term in the geometric progression is

arⁿ

such that the geometric progression looks something like.

ar⁰, ar¹, ar², ar³, ....., arⁿ, ......

also note that r⁰ = 1, hence ar⁰ is simply a

hence the G.P can be written

a, ar, ar², ar³, ....., arⁿ, ......  

also note that r can be obtained by simply dividing the 2nd term with the 1stterm. i.e

r = ar ÷ a

now we are given the first 3 terms in the GP as

12, -3, 3/4, ....

comparing with the GP in the previous paragraph, we can see that ,

a = first term = 12

also

r = 2nd term ÷ 1st term

= -3 ÷ 12

= -0.25

hence the nth term

= arⁿ

= 12 (-0.25)ⁿ

The unit rate is calculated by dividing the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, the unit rate for filling the aquarium is 10 minutes per meter.

To calculate the unit rate, you divide the total quantity by the total number of units. In this case, it takes 4 minutes to fill the aquarium to a depth of 2/5 meters. So, for the unit rate in minutes per meter, you would set up the division as follows:

4 minutes / (2/5) meters

When you divide 4 by 2/5, you actually multiply 4 by the reciprocal of 2/5, which is 5/2.

So, 4 * (5/2) = 10

Therefore, the unit rate for filling the aquarium is 10 minutes per meter.

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Answer:

Therefore the new coordinate of the point is (2,-4)

Step-by-step explanation:

A point (2,4) is rotated [tex]90^\circ[/tex] clockwise .

The point (2,4) lies on the first coordinate.If the point rotated [tex]90^\circ[/tex]clockwise direction It will be go fourth coordinate.

Therefore the new coordinate of the point is (2,-4)

Answer:m=-11

Step-by-step explanation:

You find the answer by dividing 187 by -17.

The value for m is -11

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: -17m=187

Thus simplifying we get m= 187/-17

                                            = -11

Hence, The value for m is -11

Learn more about BODMAS rule here:

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Answer:

x = 26

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+7=8x−71

Step 1: Subtract 8x from both sides.

5x+7−8x=8x−71−8x

−3x+7=−71

Step 2: Subtract 7 from both sides.

−3x+7−7=−71−7

−3x=−78

Step 3: Divide both sides by -3.

−3x  / −3  =  −78  / −3

x=26

I hope this helps!

Brainliest is very much appreciated.. :}

Answer:

x=26

Step-by-step explanation:

5x-8x= -71 -7

-3x= -78

-3. -3

Answer:

study more that should help you out

Step-by-step explanation:

study more

Answer:

try to study

Step-by-step explanation:

Answer:

 [tex]Original\ length\ of\ square=10\ inches[/tex]

Step-by-step explanation:

Let the length of square [tex]=x\ inches[/tex]

[tex]8[/tex] inches is added one side of square

Then length of one side [tex]=x+8\ inches[/tex]

[tex]3\ inches[/tex] is subtracted other side of square

Then length of other side [tex]=x-3[/tex]

[tex]area\ of square =126\ inches^2\\\\Side\times side =126\ inches^2\\\\(x+8)\times(x-3)=126\ inches^2\\\\x(x-3)+8(x-3)=126\ inches^2\\\\x^2-3x+8x-24=126\ inches^2\\\\x^2+5x-24=126\ inches^2\\\\x^2+5x-150=0\\\\x^2+15x-10x-150=0\\\\x(x+15)-10(x+15)=0\\\\(x+15)(x-10)=0\\\\x+15=0\\x=-15\ \ \ \ negative\ length\ does\ not\ consider\\\\x-10=0\\x=10[/tex]

[tex]Original\ length\ of\ square\ =10\ inches[/tex]