Select the reason that best supports Statement 8 in the given proof.

A. Addition Property of Equality
B. Division Property of Equality
C. Substitution
D. Subtraction Property of Equality

Given: Ray BV bisects

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression 9 + (2×24) is 57.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The prime factorization of the expression can be done as,

9 + (2×24)

= (3×3) + (2×2×2×2×3)

= 3 [3+(2×2×2×2)]

= 3 [3 + 16]

= 3 (19)

= 57

Hence, the simplification of the given expression 9 + (2×24) is 57.

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Answer:

x=6,36

Step-by-step explanation:

step 1 : cross multiply

x-3=3.36

x=3.36+3

x=6.36

Answer:

Estimate the cost of painting a concrete patio if it is a 14 foot by 8 foot rectangle is $25.76

Step-by-step explanation:

Underline is the given:

a concrete patio if it is a 14 foot by 8 foot rectangle

area of the concrete patio: 14ft x 8ft = 112

quart of paint that covers 47 square feet costs $10.99

the cost per foot: 10.99 / 47 = $0.23

the area is 112 so multiply it by cost per foot:

112 x $0.23 = $25.76

The estimated cost of painting the concrete patio is approximately $32.97.

To estimate the cost of painting a concrete patio, we first need to calculate the total area of the patio. The patio is a rectangle with dimensions 14 feet by 8 feet, so the total area is 14 feet × 8 feet = 112 square feet.

Next, we determine how many quarts of paint are needed to cover the patio. Since each quart covers 47 square feet, we divide the total area by 47:

112 square feet ÷ 47 square feet/quart ≈ 2.38 quarts

Since we can't purchase a fraction of a quart, we'll round up to 3 quarts.

Finally, with each quart costing $10.99, the estimated cost of painting the concrete patio is:

3 quarts × $10.99/quart = $32.97

So, the estimated cost of painting the concrete patio is approximately $32.97.

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Answer:

Total ounces should be 12

and hence

x + y = 12

and total money to spend is 50, hence

3.5x + 4.5y = 50

Therefore, these are the two ✌️ equations you should use

x + y = 12

3.5x + 4.5y = 50

Answer: This answer is non-linear.

Step-by-step explanation:

The problem [tex]y=\frac{1}{x}[/tex]  has Vertical Asymptotes,

Horizontal Asymptotes,

and No Oblique Asymptotes making, [tex]y=0[/tex]  and [tex]x=0[/tex].

A linear function is a form of [tex]y=mx+b[/tex].

This answer would be non-linear

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Answer:

Area = 996 in^2

Step-by-step explanation:

First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:

= 1/2 b•h

to find the area of the top (the triangle).

The 24, used for the triangle base is also the side length of the square below. See image.

Area of a square is:

Area = s^2

OR, just l×w or b×h,

all the same.

Add together the triangle area and the square's area for the final answer. See image.

Answer:

Please read the explanation

Step-by-step explanation:

I recommend using desmos (search it as "desmos graphing calculator") as it is the most popular website students use to graph equations of almost all kind.

type in both equations, and I don't know if you're supposed to find the X intercepts or Y intercepts. but this website will save you!

Answer:

Equal

Step-by-step explanation:

3 feet is equal to 1 yard, so 8 times 3 is 24, so they are equal to.

Given phrase - 66 less than twice Greg's age

In the given phrase, "twice" means "double", which means "2 times".

In the given phrase, "less than" means "subtraction in reverse form".

Reversing the expression, we get:

The question has stated that "Greg's age" will be represented as "g". Let's substitute "Greg's age" as "g". Then,

Therefore, the expression that represents the phrase is 2g - 66.

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Answer:

ok i find a.53 b.45c.40d.50 he anwer is hulaan monalang. A53

The total amount of return will be 5611.8573. The principal amount is compounded annually.

Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.

The given data;

P(PRINCIPAL)=5300

r(rate)=2.9%

n=1

t(time)=2

The total amount of return is found as;

[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]

Hence,the total amount of return will be 5611.8573.

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Answer:

Perimeter = 132.2 ft

Area = 766.9 ft^2

Step-by-step explanation:

Perimeter of Circle : P = 2 * pi * r

Perimeter of Rectangle : P = 2*l + 2*w

Perimeter of Circle : P = 2 * pi * 15 = 30*pi ft

Perimeter of Rectangle : P = 2*15 + 2*4 = 30 + 8 = 38 ft

Total Perimeter = 132.2 ft

Area of Circle : A = pi * r^2

Area of Rectangle = L * W

Area of Circle : A = pi * 15^2 = 225*pi ft^2

Area of Rectangle = 15 * 4 = 60 ft^2

Total Area = 225*pi + 60 = 766.9 ft^2

Answer:

236.7 = area

55.1 = perimeter

Answer:

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

Answer:

2.4%

Step-by-step explanation:

Given information :

Solving :

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \underset{\textit{we'll use this one}}{log_a a^x = x}\qquad \qquad a^{log_a x}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2.7e^x-5 ~~ = ~~33.6\implies 2.7e^x~~ = ~~38.6\implies e^x=\cfrac{38.6}{2.7} \\\\\\ \log_e(e^x)=\log_e\left( \cfrac{38.6}{2.7} \right)\implies x=\ln\left( \cfrac{38.6}{2.7} \right)\implies x\approx 2.66[/tex]

Answer:

Jonah should shade 6 parts of 10 equal parts to show 3/5

Step-by-step explanation:

Jonah should shade 6 parts of 10 equal parts to show 3/5

3/5 * 2 = 6/10

7/10 + 6/10

Answer: $23

Step-by-step explanation:

   She buys four pajama sets for $68:

-> Divide total by 4

$68 / 4 = $17

   The sets are on sale for $6 less:

-> Add 6 to individual price

$17 + $6 = $23

   Full price:

      $23

Answer:

11 minutes

Step-by-step explanation:

25 - 14 = 11

The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 4×8 = 32  (because 4 cards of 8 design)

The probability of selecting a card with a sunflower or butterfly design:

= 4/32  +  4/32

= 8/32 = 1/4

The probability of selecting a card with a lily, daisy, puppy, or bird design:

= 4(4/32)

= 1/2

The probability of selecting a card with a landscape design:

= 4/32 = 1/8

The probability of selecting a card with a dolphin, sunflower, or landscape design:

= 3(4/32)

= 3/8

Similarly, we can calculate the rest of the probability.

Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

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Answer:

4/3, -2

Step-by-step explanation:

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 can be made.

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As  7² + 8² ≠ 9²  then the triangle is not a right triangle.

A drawing of the re-arranged triangles on a 1-cm grid paper which forms a parallelogram is shown in the image attached below.

A parallelogram is a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional figure that has two (2) equal and parallel opposite sides.

In this exercise, you would re-arrange the given triangles on a 1-cm grid paper to form a parallelogram with two (2) equal and parallel opposite sides as shown in the image attached below.

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Answer:

the answer of√343k is 18k

Answer:

$5.02

Step-by-step explanation:

$2.49 × 2 = $4.98

$10 - $4.98 = $5.02

Answer:

mean: 26

minimum: 0

first q (lower): 5

median: 27

third q (upper): 44

max: 45

(all your answers for Aaron are correct as well:)

hope this helps:)