After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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The range of the function is the set of all real numbers greater than or equal to -2, because the lowest possible value of the function is -2, which occurs at x = 2.

What is a piecewise function ?

A piecewise function is a function that is defined by different equations on different parts of its domain. The graph of a piecewise function consists of several distinct parts, each corresponding to a different equation.

The graph shown is an example of a piecewise function. The function is defined using different equations on different intervals of the domain.

On the interval from negative infinity to negative 2, the function is defined by the equation y = 2. This means that the value of the function is always 2 on this interval, regardless of the value of x.

On the interval from negative 2 to 2, the function is defined by the equation y = -x. This means that the value of the function is equal to the negative of x on this interval.

On the interval from 2 to positive infinity, the function is defined by the equation y = 2. This means that the value of the function is always 2 on this interval, regardless of the value of x.

At the point x = -2, the function experiences a discontinuity, because the two equations that define it have different values at this point. The function is not differentiable at this point, because it does not have a well-defined tangent line.

The domain of the function is the set of all real numbers, because there are no restrictions on the values of x that are allowed.

Therefore, The range of the function is the set of all real numbers greater than or equal to -2, because the lowest possible value of the function is -2, which occurs at x = 2.

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Answer: A

because slope are

Answer:

Odds in favor(Fiction book) = 6 / 13

Step-by-step explanation:

Given:

Number of fiction books = 12

Number of non-fiction books = 14

Find:

Odds in favor(Fiction book)

Computation:

Odds in favor(Fiction book) = Number of fiction books / Total books

Odds in favor(Fiction book) = 12 / (12+14)

Odds in favor(Fiction book) = 12 / 26

Odds in favor(Fiction book) = 6 / 13

Answer:

The answer is 82 square feet

Step-by-step explanation:

An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.

I am going to do the first option.

The area of a rectangle is length times width.

Rectangle one can be the one with the dimensions 10 and 5 and the length and width.

Rectangle two can be the one with the dimensions 8 and 4 and the length and width.

Area of rectangle one = 50 feet^2

Area of rectangle two = 32 feet^2

Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.  

The size of angle DAB in the quadrilateral is 48°.

The sum of the interior angles of a quadrilateral is 360°. We can say:

\(\angle \text{A} +\angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ\)

\(\angle \text{A} +38^\circ + \angle\text{C} + 226^\circ = 360^\circ\)

\(\angle \text{A} + \angle\text{C} + 264^\circ = 360^\circ\)

\(\angle \text{A} + \angle\text{C} = 360^\circ- 264^\circ\)

\(\angle \text{A} + \angle\text{C} = 96\)

Since angles DAB and BCD are the same size. This implies ∠A  = ∠C. Thus:

\(\angle\text{A} + \angle\text{A} = 96\)

\(2\angle\text{A} = 96\)

\(\angle\text{A} = \dfrac{96}{2}\)

\(\angle\text{A} = 48^\circ\)

Therefore, the size of angle DAB is 48°.

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Triangles ΔICR and ΔISU are congruent by SAS rule of congruency, therefore; ∠CIR ≅ ∠SIU by CPCTC

Two triangles, ΔABC and ΔXYZ are said to be congruent by the Side-Angle-Side, SAS congruency rule, if the two sides and an included angle of triangle ΔABC, are congruent to two sides and an included angle of triangle ΔXYZ.

The specified measurements are;

∠1 ≅ ∠4

CU = RS

IC = IS

IC ≅ IS (Definition of congruency)

The congruency of the sides IC and IS indicates that the triangle ΔICS is an isosceles triangle

Therefore, ∠2 ≅ ∠3 by the properties of the base angles of an isosceles triangle

CU - RU = RS - RU (subtraction property)

RU ≅ RU, (reflexive property of congruency)

CU - RU = CR

RS - RU = SU

CR = SU (Substitution property)

CR ≅ SU (Definition of congruency)

ΔICR is congruent to ΔISU by Side-Angle-Side, SAS, rule of congruency.

∠CIR ≅ ∠SIU by Corresponding Parts of Congruent Triangles are Congruent, CPCTC

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Answer: 4.8

Step-by-step explanation: By using the intersecting chords theorem, we know that 10 * x = 6 * 8

This simplifies to 10x = 48

After dividing both sides by 10 we get x = 4.8

a) The value of x is 42.6 when k =16/3 is directly proportional to y.

b) The value of x is -56 when k is -7  is directly proportional to y.

What kind of variation is one where x and y are directly proportional?

x varies directly as y

x α y

x = ky

a) x=6 ; y = 32

x = ky

6 = k(32)

k = 16/3

if y = 8

then,

x = (16/3) * 8

= 128/3

x = 42.6

Hence, the value of x is 42.6 when k =16/3 is directly proportional to y.

b) x= 14 and y = -2

x = ky

14 = k(-2)

k = -7

if y = 8

then,

x = ky

x= (-7) 8

x = -56

Hence, the value of x is -56 when k is -7  is directly proportional to y.

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

x =

\( \frac{ - 1}{20} \)

Step-by-step explanation:

The solution is in the attached file

Answer:

x = 3

Step-by-step explanation:

First, you will pick the first equation :

(x*20)

Then the next,

(x*20) + 5

Then the last equation,

(x*20) + 5 = 5*13

Then you solve

20x + 5 = 65

20x = 65 - 5

20x = 60

20x/20 = 60/20

x = 3

Answer:

Solution: x=-1, y=1

Step-by-step explanation:

System of equations

Solve the system:

\(\displaystyle \left \{ {{4x+9y=5} \atop {-4x+7y=11}} \right\)

We'll use the elimination method.

Adding both equations:

9y + 7y = 5 + 11

Simplifying:

16y = 16

Dividing by 16

y = 16/16 = 1

y = 1

From the first equation:

4x = 5 - 9y

4x = 5 - 9*1 = 5 - 9 = -4

Dividing by 4:

x = -4/4

x = -1

Solution: x=-1, y=1

Answer:

Kevin would have to save for 12 weeks.

Step-by-step explanation: The reason he would have to save for 12 weeks is that 8 times 12 is 96, and 96 + 42 is 138.

15: 6

hope this helps

the answer is 3 3/20

3.15 = 63/20 = 3/20

Answer:

C. 3 3/20

Step-by-step explanation:

Answer:

it’s A. (f+g)(x) is greater than or equal to 3 for all values of x.

Step-by-step explanation:

I got it right on the test.

Answer:Yoo the anser is A

Step-by-step explanation:

for the makeupo math corse

-(f + g)(x)  3 for all values of x

Answer:

  a.  39 ft²

  c. 2x² +11x +12

  e. 35 yd²

Step-by-step explanation:

The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...

  total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²

__

We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:

  A = LW

  A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure

__

The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.

  A = 1/2(14 yd)(5 yd) = 35 yd²

Answer:

C. How tightly the molecules in a glass of water are packed together

Step-by-step explanation:

Volume of a substance is different according to the state of the matter.

So for a water molecule, the volume of the the water is definite and can be measured by the container which is the glass cup

So volume can be the measure of how tight the molecule of that substance ate together.

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Answer:

$23.64

Step-by-step explanation:

12 * $1.97 = $23.64

Answer:

-2x-7y=-4

Step-by-step explanation:

5x+-7x=-2x

-9y+2y=-7y

1+-5=-4

So -2x-7y=-4

Answer:  All adults of United States.

Step-by-step explanation:

Here, the study is all about the problem have been facing by the population of U.S.

Since adults of a society are likely voters.

So, population = All adults of United States., as only they can address the current situation or problems because they live there.

Answer:

5^5 is equal to 3125

Step-by-step explanation:

5×5×5×5×5=3125 Hope this helps!

the answer is 10 alangan

The value of PQ that divides PS in the ratio of 2:1:2 is 14 units.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

The ratio of PQ: QR: RS is equal to 2:1:2. If PS = 35, hence:

PQ = [(2) / (2 + 1 + 2)] * PS = (2/5) * 35 = 14

The value of PQ that divides PS in the ratio of 2:1:2 is 14 units.

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Answer:

Decreased by 20%

Step-by-step explanation:

0.5 x ? = 0.4

? = 0.4/0.5

? = 0.8

1 - 0.8 = 0.2

0.2 = 20%

To check, 20% of 0.5 is 0.1. 0.5 - 0.1 is 0.4. So the answer is correct.

Answer:

2(2+1)-[2-(-3)]

(2×3)-5

6-5=1

Answer:

?

Step-by-step explanation:

i think ljhh ako naiintindihan