If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

x is -31 because you had to add -11 and -20

Answer:

The answer is 25+0.50x>150

Answer:

Let F = The number of $5 bills and T = the number of $10 bills.  She has 15 bills total, so:

F+T = 15                

T = 15-F

She has $120 total:

$120 = ($5)*F + ($10)*T

$120 = $5*F + ($10)*(15-F)         [Substitute 15-F in place of T]

120 = 5F + 150 - 10F

-30 = -5F

6 = F

Check:

T= 15-F = 15=6 = 9

$120 = ($5)*6 + ($10)*9

$120 = $30 + $90

$120 = $120

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

Let x represent the number of $10 bill, y represent the number of $5 bill and z represent the number of $1 bill. Hence:

10x + 5y + z = 101   (1)

Also:

y = x + 5     (2)

And:

z = 4x    (3)

From equation 1, 2 and 3:

x = 4, y = 9, z = 16

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

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Answer:

b= 20 • c

b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".

The equation representing the number of bottles is c = 20b

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, Madison ordered c cases of the bottle with each case having 20 bottles,

So, for c cases she will have 20b bottles.

The equation is :-

c = 20b

Here,

c is dependent variable

b is independent variable

Hence, the equation representing the number of bottles is c = 20b

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Answer:Case 1: Principal: 10,000; Period: 1 year Case 2: Principal: 1,000; Period: 10 years Case 3: Principal: 5,000; Period: 2 years Case 4: Principal: 2,500; Period: 4 years Simple Interest is a product of period, principal and interest rate, for a given interest rate, the interest earned would be equal if the product of principals and period is same for any number of cases. In our examples, we see that the product of principal and period comes out to be 10,000 in each case.

Step-by-step explanation:

Answer:  398765

=====================================================

Work Shown:

x = total number of copies sold so far

8.1% of x = 0.081*x = amount of copies sold in the first month

0.081*x = 32300

x = 32300/0.081

x = 398,765.432098766

x = 398,765

Rounding to the nearest whole number, about 398,765 copies have been sold so far to date.

Answer:

C. Trapezoid

Step-by-step explanation:

A hexagon is a polygon with six sides, thus and six interior angles ABCDEF. After the segment AD (which is the diameter of the circle P) has been drawn, it divides the hexagon into two halves. With each half forming the shape of a trapezoid, so that ADEF is a trapezoid.

Thus, the appropriate option is C, trapezoid.

Answer:

100 gumdrops per person

Step-by-step explanation:

We know that there are 28 packages and each one has 25.  So just multiply 28 by 25 and you get 700 gumdrops in total.  Finally because there are seven friends in total you divide 700 by 7 and get 100 per person.

Answer:

[tex]x^{2}[/tex]-4x+4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 6 x 3/2 = 18/2 = 9

hope this helped!

Answer:

2/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

discount = 104.99 -  89.24 = 15.75

15.75/104.99 ≅ 0.15 = 15%

Answer:

[tex]\displaystyle \frac{x - 12}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{2x - 24}{8}[/tex]

Step 2: Simplify

Step-by-step explanation:

[tex] \frac{2x - 24}{8} \\ = \frac{2(x - 12)}{8} \\ = \frac{x - 12}{4} [/tex]

Answer:

10

Step-by-step explanation:

Let XY = a

Since,

XY + YZ = XZ

a + YZ = 24

YZ = 24 - a

By angle bisector property:

[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]

Yes because the 0 at the end is just a place holder basically so 1.150 and 1.15 are the same

Answer:

180 of the drinks sold were soda

Step-by-step explanation:

if we divide 600 by 0.30, which is 30%, we would get 180, so your answer would be 180.

Answer:

"Population" is the correct response.

Step-by-step explanation:

Answer:

40.5

Step-by-step explanation:

if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;

y ∝ x²z³/√w

y = kx²z³/√w

If x = 2, z = 2, y = 12 and w = 64

Substitute;

12 = k (2)²(2)³/√64

12 = 32k/8

12 = 4k

k = 12/4

k = 3

To get y when x = 1, z = 3, and w = 4.

y = 3 (1)²(3)³/√4

y = (3*27)/2

y = 81/2

y = 40.5

Hence the value of y is 40.5

Answer:

x=22

Step-by-step explanation:

Reorder the terms:

3(-4 + x) = 2(x + 5)

(-4 * 3 + x * 3) = 2(x + 5)

(-12 + 3x) = 2(x + 5)

Reorder the terms:

-12 + 3x = 2(5 + x)

-12 + 3x = (5 * 2 + x * 2)

-12 + 3x = (10 + 2x)

Solving

-12 + 3x = 10 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-12 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-12 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0

-12 + 1x = 10 + 0

-12 + 1x = 10

Add '12' to each side of the equation.

-12 + 12 + 1x = 10 + 12

Combine like terms: -12 + 12 = 0

0 + 1x = 10 + 12

1x = 10 + 12

Combine like terms: 10 + 12 = 22

1x = 22

Divide each side by '1'.

x = 22

Simplifying

x = 22

18.9 or 18 9/10 or b or the second option.

Answer:

it's 18 9/10

Step-by-step explanation:

Answer:

below in explanation

Step-by-step explanation:

This basically means that for any value of x, the answer will always be 6

Answer And Step-by-step explanation:

F(x) = 6

^^ the domain of a constant function is the set of all real numbers.

so therefore; the answer is all real numbers

Answer:

volume of sphere=4/3πr³=4/3×3.14×6²=164.16cm³

Answer:

47.5 y²

Step-by-step explanation:

The formula for finding the area of a circle: πr²

The radius (r): 5.5

Square (multiply by itself) 5.5.

5.5² = 30.25

Multiply by pi (3.14).

94.985

This figure is a semicircle, therefore, divide the area by 2.

47.4925

Round to the nearest tenth.

47.5

The area of this figure is 47.5 y².

Answer:

it will option C. hope it helps

Answer:

Option C is the right answer

Answer:

multiply length x width x height.

l x w x h

Answer:

20

2.9

Step-by-step explanation: khan

Answer:

54.6

Step-by-step explanation:

(18⅕ miles)/(⅓ hour) = ((18⅕)×3 miles)/hour = 54.6 miles per hour

The unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.

There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.

Speed can be calculated as the ratio of the distance traveled to the time taken by the object.

We have been given that horses can run at a top speed of 18⅕  miles in 1/3 hour.

Therefore, Distance = 18⅕ miles

Speed =  18⅕  miles in 1/3 hour.

Thus, we get;

Unit rate= (18⅕ miles) / (⅓ hour)

Unit rate = ((18⅕)×3 miles)/hour

Unit rate = 54.6 miles per hour

Therefore, the unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.

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Answer:

y = x - 8

Step-by-step explanation:

Slope intercept form:  y = mx + b, where b is the y-intercept.

Solve the given equation for y and then compare the result with this y = mx + b:

3y = 3x - 24

Dividing all three terms by 3 yields:

y = x - 8 (answer).  The slope is 1 and the y-intercept is -8.