Which fraction is modeled by the number line?
A. 2/3
B. 2/2
C. 3/4
D. 1/3

Answer: I wanna go with 20,000

Step-by-step explanation:

Answer:

a. 70%

Step-by-step explanation:

i took the test

Answer: Read below.

Step-by-step explanation:

\(3x+17<47\\-6x+9<25\)

Let's take the first one.

\(3x+17<47\)

Subtract 17

\(3x<47-17\\3x<30\)

Divide by 3

\(x<\frac{30}{3}\\ x<10\)

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Now the second one.

\(-6x+9<25\\-6x<25-9\\-6x<16\)

Here's the trick. You need to divide by -6; however, there's a rule. When you multiply or divide by negative numbers, the inequality sign flips.

\(x>\frac{16}{-6}\)

\(x>-\frac{8}{3}\)

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x has to be less than 10

x has to be greater than \(-\frac{8}{3}\) or -2.66 approximately.

in the number line, make a hollow circle on \(-\frac{8}{3}\) and draw an arrow up to \(10\) where, again, you have to make a hollow circle. The circles have to be hollow because neither \(-\frac{8}{3}\) nor 10 are part of the answers.

Answer:

26.7%

Step-by-step explanation:

The positive change from 15 to 19 is 4.

Find the value of the fraction 4/15 and multiply the result by 100% to obtain the final answer:

4/15 = 0.26667

Multiplied by 100%, 0.26667 becomes 26.7%:  the percentage change in the number of students

Answer:

BRAINLIEST PLEASE!!!!!!!!!!

Answer:

1

Step-by-step explanation:

anything divided by itself is 1

also when dividing exponets with the same base we subtract the exponet

7-7

0

and 8^0 is 1 because anything raised to the power of zero is 1

hopes this helps

Answer:

1

Step-by-step explanation:

8^7=8^7

A number divided by itself = 1

8^7=2097152

2097152/2097152=1

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer:

Step-by-step explanation:

Answer:

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

The two angles with the variable x form a linear pair and therefore:

Angles 16x - 18 and 12y are congruent as vertical angles:

Answer:

x = 7.5

y = 8.5

Step-by-step explanation:

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

To find x, equate the sum of the two angles with the variable x to 180° and solve:

⇒ (16x - 18)° + (10x + 3)° = 180°

⇒ 16x - 18 + 10x + 3 = 180

⇒ 26x - 15 = 180

⇒ 26x = 195

⇒ x = 7.5

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore:

⇒ (16x - 18)° = 12y°

Substitute the found value of x into the equation and solve for y:

⇒ 16x - 18 = 12y

⇒ 16(7.5) - 18 = 12y

⇒ 120 - 18 = 12y

⇒ 102 = 12y

⇒ y = 8.5

Answer:

78+25+61+55+64=283

360-283=77

180+77=257

Option (C) Infinitely many solutions

Answer:

See explanation

Step-by-step explanation:

1) Equation of line through (3, 2) with slope -2.

y = mx + b

2 = -2(3) + b

2 = -6 + b

8 = b

y = -2x + 8

2) Equation of the line through the points (4, 2) and (3, 1)

m = (1 - 2)/(3 - 4) = -1 / -1 = 1

y = mx + b

1 = 1(3) + b

1 = 3 + b

-2 = b

y = x - 2

Answer:

y=-2x+8

y=x-2

Step-by-step explanation:

y=-2x+b

2=-2(3)+b

2=-6+b

8=b

Plug it into your expression

y=-2x+8

(1-2)=m(3-4)

-1=m(-1)

-1=-m

1=m

Plug it into your expression

y=1x+b

1=1(3)+b

-2=b

Plug it into your expression

y=x-2

Answer:

b² + c² = 47

Step-by-step explanation:

Expand (b + c)² = 61

⇒   (b + c)(b + c) = 61

⇒  b² + 2bc + c² = 61

Substitute bc = 7 into b² + 2bc + c² = 61:

                                   b² + 2(7) + c² = 61

                                     b² + 14 + c² = 61

To determine b² + c² simply subtract 14 from both sides of the equation:

b² + c² = 47

Answer:

5/8 cm cubed

Step-by-step explanation:

When you calculate volume, you are essentially seeing how much space is inside the given item. To do this, you can multiply all three dimensions(length, width, and height).

Width: 1/3 cm; Length: 3/4 cm, Height: 5/2 cm

When you multiply these you get 15/24 cm cubed. This simplifies to 5/8 cm cubed.

Answer: 909.03

Step-by-step explanation:

We know that the equation is an exponential function, it can be written as y=ab^x

\(100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\\)

\(\Rightarrow ab^1=11\)

\(\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0\)

\(\Rightarrow a=\frac{11}{b}\)

a = 11/b, substitute it in equation 1

\(100 &=a b^{6.5}\)

\(\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}\)

\(\Rightarrow 100b=11b^\frac{11}{2}\)

\(\Rightarrow 11\sqrt{b^{11} } =100b\)

\(\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}\)

\(\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}\)

\(\Rightarrow {b^{11} } =\frac{10000}{121}}\)

\(\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}\)

\(\Rightarrow {b} = 1.49379\)

a = 11/b

a = 11/(1.49379)

a = 7.36382

Equation: y = (7.36382)(1.49379)^x

Now plug in 12 for x:
\(\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}\)

\(\Rightarrow 7.36382\cdot \:1.49379^{12}\)

\(\Rightarrow 7.36382\cdot \:123.44530\dots\)

\(\Rightarrow 909.03\)

Therefore, f(12) = 909.03 for the exponential function

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Answer:

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by proportions, using a rule of three.

The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.

When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The rule of three is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

$1,225 is earned from nachos.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

THEY ARE ALL TRIANGLES, all have an measure to 180 degree, all have angles ;)

Step-by-step explanation:

SCALENE ALL DIFFER IN SIZE

ISOCLES 2 ARE SAME

EQUALATREAL EQUAL

Answer:

its the 2nd  one

Step-by-step explanation:

Answer:

x - y

Step-by-step explanation:

if x is greater than y subtraction will be the result with a positive number.

Answer:

%-75

Step-by-step explanation:

8 2

its negative

-75% increase

75% decrease

Answer:

w= -3.75

Step-by-step explanation:

-5(4w+12) =15

-20w -60=15

-20w=75

w=-3.75

Answer:

w= -15/4 or w= -3.75

Step-by-step explanation:

math

Answer:

Area of original figure = area of parallelogram

= 7 yd • 4 yd

= 28 yd^2

3 feet = 1 yard, so 9 ft^2 = 1 yd^2

28 yd^2 (9 ft^2/1 yd^2) = 252 ft^2