Tanya likes to take walks around the pentagonal garden at her local park. The garden on the left has congruent sides. If Tanya starts at one vertex of the pentagon and walks all the way around the garden, how far has she walked in total?

Answer:

  x = y = 250 mL

Step-by-step explanation:

The desired concentration of acid (20%) is exactly halfway between the concentrations of the available supplies (10%, 30%). So, the mix will be equal parts of each of those. x and y are both half the total quantity required:

  x = y = (500 mL)/2 = 250 mL

_____

If you need an equation to solve this, you can let x = 500 -y and write the equation for the acid volume in the final mix:

  10%(500 -y) +30%(y) = 20%(500)

  50 -0.1y +0.3y = 100 . . . . . eliminate parentheses

  0.2y = 50 . . . . . . . . . . . . . . subtract 50, collect terms

  y = 250 . . . . . . . . . . . . . . . multiply by 5 (equivalently, divide by 0.2)

  x = 500 -250 = 250

Answer:

A. True

B. False

C. False

D. False

Step-by-step explanation:

Hence she used it correctly by making parts of it.

Answer: Its A my boy

Step-by-step explanation:

Answer:

He bought 12 oranges.

Step-by-step explanation:

Key words: "ALL the apples" "EACH orange."

7.75-2.35= 5.4

5.4/0.45= 12

Answer:

He bought 12 oranges.

Step-by-step explanation:

Keywords: "ALL the apples" and "EACH orange."

7.75-2.35= 5.4

5.4/0.45= 12

Step-by-step explanation:

Answer:

12x^5+27x^4-24x^3+12x^2:

Step-by-step explanation:

hope it helps

Answer:

325

Step-by-step explanation:

h + 74 = 724

h = 724 - 74

h = 650.

h = 325.

Answer:The correct answer among the choices given is option 2. 

Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left. 

5x^2 + 27x + 13x = 14

5x^2 + 40x = 14

2. Make sure that the coefficient of the x^2 term is 1.

5(x^2 + 8x) = 14

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

5(x^2 + 8x + 16) = 14 + 80

5(x+4)^2=94

Step-by-step explanation:

The correct step is 5x2 + 40x = 14.

Completing the square is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)2 + k.

The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^2 + n, such that the left side is a perfect square trinomial. Completing the square method is useful in:

Given:

5x^2 + 27x = 14 - 13x

5x^2 + 27x + 13x = 14

5x^2 + 40x = 14

5(x^2 + 8x) = 14

Now,

Adding a term to both sides that will complete the square in the left side.

by dividing the coefficient of the x term by 2 and squaring it.

5(x^2 + 8x + 16) = 14 + 80

5(x+4)^2=94

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Option B: [tex]TU $\cong$ TS PU $\cong$ TU[/tex]

Option C: The length of line segment PR is 13 units.

Explanation:

Given that the circle is inscribed in triangle PRT. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T.

The length of RS is 5, the length of PU is 8 and the length of UT is 6.

Option A: The perimeter of the triangle is 19 units.

The perimeter of the triangle is given by

Perimeter of ΔPRT = PU + UT + TS + SR + RQ + QP

Since, P, T and R are tangents to the circle and we know that "Tangents to a circle drawn to a point outside the circle are equal in length".

Thus, we have,

RS = RQ = 5

PU = PQ = 8 and

UT = TS = 6

Substituting the values in the perimeter of ΔPRT, we get,

Perimeter of ΔPRT = 8 + 6 + 6 + 5 + 5 + 8 =38 units

Thus, the perimeter of the triangle is 38 units.

Hence, Option A is not the correct answer.

Option B : [tex]TU $\cong$ TS PU $\cong$ TU[/tex]

Since, P, T and R are tangents to the circle and we know that "Tangents to a circle drawn to a point outside the circle are equal in length".

Then [tex]TU $\cong$ TS PU $\cong$ TU[/tex]

Hence, Option B is the correct answer.

Option C: The length of line segment PR is 13 units.

The length of PR is given by

PR = PQ + QR

Substituting the values RQ = 5 and PQ = 8, we get,

PR = 5 + 8 = 13 units

Thus, the length of line segment PR is 13 units.

Hence, Option C is the correct answer.

Option D: The length of line segment TR is 10 units.

The length of TR is given by

TR = TS + SR

Substituting the values TS = 6 and SR = 5, we get,

TR = 6 + 5 = 11 units

Thus, the length of line segment TR is 11 units

Hence, Option D is not the correct answer.

Answer: b and e

Step-by-step explanation:

Answer:

x = -6/65

Step-by-step explanation:

Perform the indicated multiplications:  4(-8x+5) - 1(33x-26), obtaining:

-32x + 20 - 33x + 26

Combining like terms, we get

-65x = 6, or

x = -6/65

Answer:

40

Step-by-step explanation:

0.13 ⟌5.2 (We can move 0.13 over two spots)

13⟌520 (We move the decimal two spots because of previous)

We have

    ₄ ₀

13⟌520

  - 52

______

      0 0

       - 0

   ______

          0

So 40 is our final answer.

The value of  (5.2/0.13) is 40 obtained by removing the decimals.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, 5.2 is divided by 0.13, which is (5.2/0.13).

Now we can multiply both the numerator and the denominator by 100.

∴ (5.2/0.13)×(100/100).

= 520/13.

= 40.

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Answer:

its prey

Step-by-step explanation:

An owl is a predator to a mouse, they attack mice and eat them so the owl is the predator and the mouse is the prey. There for an owl is related to a mouse in the same way that a predator is related to its prey

Yo sup??

the answer to this question is prey

as an owl eats a mouse similarly a predator eats is prey

Hope this helps

Answer:0.25

Step-by-step explanation:

11/44 is equal to 1/4

1/4 is 0.25

Answer:

72,220

Step-by-step explanation:

23,000 • 3.14 =

If the vehicle is traveling at 1,000 revolutions per minute, with the diameter of the wheels being 23 inches, the vehicle would be moving at 72,220 inches per minute.

72220.000512 = 68.390152 = 68 MPH

Answer:

100

Step-by-step explanation:

Answer:

$15.40

Step-by-step explanation:

1.30 × 2 = 2.60

0.75 × 2 = 1.50

2.60 + 1.50 + 0.50 = 4.60

20 - 4.60 = 15.40

To obtain j(x) = -3x²+5, we need to combine a linear function and a quadratic function. Three possible options are provided in the response.

The function j(x) = -3x²+5 is a quadratic function. To obtain this function by combining two other functions, we can use a linear function and a quadratic function added together. This means that one of the functions will have a degree of 1 and the other will have a degree of 2. Here are three options that could result in j(x):

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Answer:

16. The answer is 16.5

17. The answer is Sin33.1°

18. The answer is 38.2

Step-by-step explanation:

In rounding up figures, number 1 to 4 is rounded up to 0 while numbers 5 to 9 is rounded up to 1.

16. Two sides in the right angle triangle are involved, the opposite side and the adjacent side, hence we use the tangent.

Tan36°=12/x

Cross multiply

x(tan 36°)= 12

Divide both sides by tan36°

x= 12/tan36°

16.516583

Rounded to the nearest tenth, we have 1 as the digit hundredth, which will be rounded up to 0.

Added to the tenth digit, still remains 5.

Answer therefore is 16.5

17. Two affected sides here is the opposite side and hypothenus sid, hence we use the sine.

sin x=12/22

= 33.055°

The digit hundredth is 5, which is rounded up to 1. Added to the tenth digit, we have 0+1=1

Answer is 33.1

18. Two affected sides are the opposite side and hypothenus side, we also use the sine.

Sin58°=x/45

Make x the subject

x=45/sin58°

38.162

6 is the digit hundredth, and it is rounded up to 1. Adding 1 to 1, the tenth digit in the figure above, we have our answer as

38.2

Answer:

-16z + 24

Step-by-step explanation:

Apply the Distributive Property of Multiplication:

-8(2z-3) = -16z + 24

Answer:

-27

Step-by-step explanation:

-8 ( 2z - 3 ) = -16z - 3

distribute -8

-16z + 24 = -16z - 3

add 16z on right side

z + 24 = - 3

subtract 24 on left side

z = -27

Hopefully this helps :)

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-6x__ should equal -17 so my best choice would to guess and check

if we do 5 that will give us -23 i believe

if we do 4 it gives us -17 so this would be our answer 4

Answer:

She will wash 24% windows in one hour

Step-by-step explanation:

If Ava washes 12% windows in half hour

Since 2 half hours makes one hour

Therefore, 2 × 12% will be washed in one hour

That is, Ava will wash 24% windows in one hour

Answer:

9.6 lb/acre

Step-by-step explanation:

This is a unit rate problem. You want to know the number of pounds used for one acre.

You divide 96 pounds by 10 acres to find the number of pounds per 1 acre.

(96 lb)/(10 acres) = 9.6 lb/acre

Answer: 9.6 lb/acre

To find how many pounds of seed are needed per acre, divide the total amount of seed used, which is 96 pounds, by the total area, 10 acres. The answer is 9.6 pounds per acre.

This problem is a simple division problem in Mathematics. We start by taking the total amount of seed that was used, which is 96 pounds. Then, we divide this by the total area, which in this case is 10 acres.

When we perform the calculation: 96 pounds ÷ 10 acres, the solution we get is 9.6 pounds per acre.

So, it requires 9.6 pounds of seed to plant one acre of the field. Remember, this is an average estimation. Actual seed requirement may vary depending on the type of seed and other factors such as soil and weather conditions.

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Answer:

13 units

Step-by-step explanation:

g(x) = 7x + 9 - 13

g(x) = f(x) - 13

Answer:

7.       the answer is 13

Step-by-step explanation:

Answer:

D. The mean for the 8th grade players is 3 times the mean for the 6th grade players. & E. The data set distribution for the 8th grade players is symmetric.

Answer:

Your graph would look like lines going up and up and up

Step-by-step explanation:

Why you ask? Well, because the graph shown here is going by the factors of 6. And the factors of 6 are pretty high, which means it would be going up like a twisted line going right ot left depending which way you look at it. It would be going up and up because like 18 times 6 is 108 and 20 times 6 is 120.

Answer:

Part A) [tex]A=1.25W^2[/tex]

Part B) Length: 17.5 feet and Width: 14 feet

Step-by-step explanation:

Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.

Let

L ----> the length of the  rectangular basketball section

W ---> the width of the  rectangular basketball section

we know that

The area of the rectangular basketball section is equal to

[tex]A=LW[/tex] ----> equation A

The length of the section will be 1.25 times the width of the section

so

[tex]L=1.25W[/tex] ----> equation B

substitute equation B in equation A

[tex]A=(1.25W)W\\A=1.25W^2[/tex]

Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?

we have

[tex]A=1.25W^2\\A=245\ ft^2[/tex]

so

[tex]245=1.25W^2[/tex]

solve for W

[tex]W^2=245/1.25\\W^2=196\\W=14\ ft[/tex]

Find the value of L

substitute the value of W in the equation B

[tex]L=1.25(14)=17.5\ ft[/tex]

therefore

The dimensions are :

Length: 17.5 feet

Width: 14 feet

The area equation for the basketball section is A = 1.25w². For an area of 245 square feet, the width, w, is approximately 14 feet, and the length, l, is approximately 17.5 feet.

Part A: Equation of the Area

To create an equation that represents the area, A, of the basketball section in terms of the width, w, we start with the fact that the length is 1.25 times the width. So, if l represents the length, then l = 1.25w. The area of a rectangle is found by multiplying the length by the width, hence the area A = l × w. Substituting l = 1.25w gives us the equation A = (1.25w) × w = 1.25w².

Part B: Dimensions of the Basketball Section

Given the area of the basketball section is 245 square feet, we can use the equation found in Part A to determine the width and subsequently the length. The equation A = 1.25w² becomes 245 = 1.25w². Solving for w, we take the square root of both sides after dividing by 1.25, which gives w = √(245/1.25) ≈ 14 feet. To find the length, l, we multiply the width by 1.25, resulting in l = 1.25 × 14 ≈ 17.5 feet. Therefore, the dimensions are approximately 14 feet in width and 17.5 feet in length.

Ben is 19 and Ishaan is 7.

If 3 years ago Ben was 4 times the age of Ishann, their ages could have been any of the following:

1. Ben is 4 and Ishaan is 1

2. Ben is 8 and Ishaan is 2

3. Ben is 12 and Ishaan is 3

4. Ben is 16 and Ishaan is 4

And so on.

Next add 3 to both ages, to show current age.

1. Ben is 7 and Ishaan is 4

2. Ben is 11 and Ishaan is 5

3. Ben is 15 and Ishaan is 6

4. Ben is 19 and Ishaan is 7

Ben is currently 12 years older than Ishaan. To find the difference, take Ben's age and subtract Ishaan's age.

1. 7 - 4 = 3

2. 11 - 5 = 6

3. 15 - 6 = 9

4. 19 - 7 = 12

Thus meaning Ben is 19 and Ishaan is 7.

I hope this helps!

Answer:

[tex]12.5 \ ft^2[/tex]

Step-by-step explanation:

Given that height is a quarter the sum of bases and that the height is 2.5ft.

The sum of bases is calculated as:

[tex]h=\frac{1}{4}\sum{b_i}=2.5\\\\\sum{b_i}=2.5\times 4\\\\\sum{b_i}=b_1+b_2=10\ ft[/tex]

#Having that (b1+b2=10 ft), we can now calculate the area using the given formula using the given figures:

[tex]A=\frac{1}{2}\times 2.5\times (b_1+b_2), b_1+b_2=10\\\\=\frac{1}{2}\times 2.5\times10\\\\=12.5[/tex]

Hence, the area of the trapezoid is 12.5 sq ft

*Using the h=2.5ft and the [tex]A=\frac{1}{2}h(b_1+b_2)[/tex]

Answer:

[tex]\sqrt[5]{15}[/tex]

Step-by-step explanation:

A number to 1/5 is the [tex]\sqrt[5]{n}[/tex]

A number to 1/3 is the [tex]\sqrt[3]{n}[/tex]

So, since the number is 15 to the 1/5, it is [tex]\sqrt[5]{15}[/tex]

Answer:  [tex]\sqrt[5]{15}[/tex]

Answer:

[tex]15^{\frac{1}{5} } = \sqrt[5]{15}[/tex]

Step-by-step explanation:

recall that

[tex]a^{\frac{1}{b} } = \sqrt[b]{a}[/tex]

if we apply this to our case,

[tex]15^{\frac{1}{5} } = \sqrt[5]{15}[/tex]

Answer:

40s units²

Step-by-step explanation:

Area of frame = area of bigger rectangle - area of smaller one

Area of big rectangle = length × breadth

= 12 × 6s = 72s unit²

Area of smaller rectangle = length x breadth

= 8 × 4s = 32s units²

Area of frame  = 72s -  32s

= 40s units²

I hope this was helpful, please mark as brainliest

Answer:

Step-by-step explanation:

8t - 32u = 8*t - 8*4*u

            = 8*(t - 4u) = 8(t -4u)

Answer:

(52 - 4) * (13 - 7)

Step-by-step explanation:

Step 1:  Convert words into an expression

52 minus 4 times the difference of 13 and 7.

(52 - 4) * (13 - 7)

Answer:  (52 - 4) * (13 - 7)

If needed simplify

(52 - 4) * (13 - 7)

48 * 6

288