Alyssa has two summer jobs: camp counselor with a community organization and babysitting her neighbor’s daughter. He earns $15 per hour as a counselor and $10 per hour babysitting. Because of her age, Alyssa can work no more than 40 hours each week, and she hopes to earn at least $450 each week.

Using c for the number of hours Alyssa works as a camp counselor and b for the number of hours she babysits, write two inequalities to represent the number of hours she can work and the amount of money she can earn.

[tex]5x + 4y = - 30 | \times ( - 3) \\ 3x - 9y = - 18 | \times 5 \\ \\ - 15x - 12y = 90 \\ 15x - 45y = - 90[/tex]

Now add 2 equations

[tex] - 57y = 0 \\ y = 0[/tex]

Now we need to put y into any equation

[tex] - 15x - 12 \times 0 = 90 \\ - 15x = 90 \\ x = - 6[/tex]

Answer: (-6;0)

Answer:

x = 8

Step-by-step explanation:

16/x = 2

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply x to both sides:

(16/x)x = (2)x

2x = 16

Next, isolate the variable, x. Divide 2 from both sides:

(2x)/2 = (16)/2

x = 16/2

x = 8

x = 8 is your answer.

~

There are 8 students in the range 12 cm to 13.9 cm

How many students are in the range

From the question, we have the following parameters that can be used in our computation:

The data values

Also, we have

Range = 12 cm to 13.9 cm

Looking through the data values, we have:

12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, and 13.1

Counting these values, we have

Count = 8

Hence, there are 8 students in this range

Answer:

its 2x−82, x, minus, 8.

Step-by-step explanation:

Answer:

The park ranger bought 2 redwood trees and 10 spruce trees.

Step-by-step explanation:

24 * 2 = 48

208 - 48 = 160

160 / 16 = 10

Answer:

=−2k+6

Step-by-step explanation:

(happy to help)

Final answer:

Combining like terms in the expression -2k - (-5) + 1 results in -2k + 6.

Explanation:

Combine the like terms to create an equivalent expression:

Given expression: -2k - (-5) + 1

To combine like terms, simplify each part of the expression:

-2k stays as is.

-(-5) becomes +5.

1 stays as is.

Combining these simplified parts: -2k + 5 + 1 = -2k + 6

Answer:

27 1/3

Step-by-step explanation:

The polygon has a perimeter of 164 and 6 sides.

Divide 164 by 6 sides to get the side lengths for each side.

164/6 = 27 1/3

Final answer:

To find the length of a side of a regular hexagon with a perimeter of 164 meters, you divide the perimeter by the number of sides, which results in approximately 27.33 meters per side.

Explanation:

The regular polygon in question is a hexagon since it has 6 sides. To find the length of one side of the polygon, we divide the perimeter of the polygon by the number of sides it has. The formula for the perimeter (P) of a regular polygon is P = number of sides × length of one side.

Given the perimeter (P) is 164 meters, we find the length of one side (s) by dividing the perimeter by the number of sides (6).

Length of one side (s) = P / number of sides = 164 / 6 = 27.333... meters

Therefore, the length of one side of the hexagon is approximately 27.33 meters.

Your answer would be 56m².

To find the surface area, you need to add up the total number of squares that can be seen on the outside of the solid.

First you have the front end which is made up of 4 squares, and there would be another one on the same side, so this comes to 8m².

The surface on top contains 12 squares, and this would also be the same on the bottom of the solid, so you get 24m².

The surface on the right-hand side also contains 12 squares and would be doubled on the other side, so this also comes to 24m².

Therefore your final answer is 8 + 24 + 24 = 56m².

I hope this helps!

Answer:

Vertex is (2,-9)

Y- intercept is (0,-5)

Step-by-step explanation:

The vertex of the parabola are (2, -9).

The x-intercepts: (–1, 0) and (5, 0).

The midpoints between the intercept are (2, 0).

The y-intercept is (0, -5).

The equation of the vertex of the parabola;

y = a (x - h)² + k

Where h and k are the vertexes of the parabola.

Given that;

Graph the function f(x) = (x + 1)(x – 5).

Now, Comparing this to the general form, the vertex is (2, -9).

And, The x-intercept is the point where the graph intersects the x-axis or the point where y or f(x) is 0.

f (x) = 0

(x + 1) (x - 5)= 0

x = - 1

x = 5

Thus, The x-intercepts: (–1, 0) and (5, 0).

The midpoints between the intercept are;

(- 1 + 5) / 2, (0 + 0)/2

(2, 0)

Hence, The midpoints between the intercept are (2, 0).

The y-intercept is the point where the graph intersects the y axis or the point where x is 0.

f(0) = (0+1). (-5) = 1(-5) = -5

The y intercept is (0, -5).

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Solving steps:

3x - 9y = -18

divide both sides by 3

3x - 18 + 9y

therefore, x = 6+3y

We cannot solve this further, therefore x = 6 + 3y

Answer:

1. (x + 4)(9x + 6)

2. (3x + 6)(3x + 4)

3. (9x + 4)(x + 6)

Step-by-step explanation:

9x² + 42x + 24

9x² + 36x + 6x + 24

9x(x + 4) + 6(x + 4)

(x + 4)(9x + 6)

9x² + 30x + 24

9x² + 12x + 18x + 24

3x(3x + 4) + 6(3x + 4)

(3x + 4)(3x + 6)

9x² + 58x + 24

9x² + 54x + 4x + 24

9x(x + 6) + 4(x + 6)

(9x + 4)(x + 6)

The value of n is 0 and the coordinate of D is at (0, -2)

Find the coordinate of the plane attached.

Given the following coordinates:

C = (0, -2)

D = (n, -2)

E = (n, 2)

Get the distance from point D to point E using the distance formula:

[tex]DE=\sqrt{(2+2)^2+(n-n)} \\DE=\sqrt{(4)^2} \\DE=4 units[/tex]

Get the distance from point D to point C using the distance formula:

[tex]DC=\sqrt{(2+2)^2+(n-n)} \\DC=\sqrt{(4)^2+n^2} \\DC=\sqrt{16+n^2}[/tex]

If the distance from point D to point E is equal to the distance from point D to point C, hence;

[tex]\sqrt{16+n^2}=4\\16+n^2=4^2\\n^2=16-16\\n=0[/tex]

Get the coordinate of point D(n, -2)

D = (0, -2)

Hence the value of n is 0 and the coordinate of D is at (0, -2)

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The distance from point D to point E is 4 units. The value of n is indeterminable from the information given in the question.

In this question, we know the distance from point D to point E is equal to the distance from D to point C. Given this information, we can infer that coordinates of point E are (n, 2), while coordinates of point D are(n, -2). The distance formula on a cartesian plane is given by Distance = √[(x2-x1)² + (y2-y1)²].

Here, since D and E both have the same x-value (n), the distance between them depends only on the difference in their y-values. Therefore, the distance between D and E (and hence also D and C) is 4 units.

The value of n is irrelevant to the distance calculation, as it doesn't impact the distance between D and E or D and C. As such, it isn't possible to determine n's value given the information from the question.

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Answer: you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up.

Step-by-step explanation:

Answer:

Sample response: Look at the figure and take note of the types of three-dimensional figures that make it up. Find the volume of each figure. Add the volumes to find the total volume.

Step-by-step explanation:

Answer:

7 times p

7 multiplied by p

The product of 7 and p

Step-by-step explanation:

The question is 7p. Usually, when a number and a variable is placed side by side, it means you are multiplying:

7 times p

7 multiplied by p

The product of 7 and p

are all your answer choices, for they all deal with multiplying 7 with p.

~

Answer:

E.

Step-by-step explanation:

1 / 2 : 5

8 : 80

They are directly proportional, and 1 / 2 -> 8 = 16

5 * 16 = 80

80 Miles.

The real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

The distance between two cities = 8 inches,

The scale 1 / 2 inches or 0.5  = 5 miles

So for 1 inch, the actual distance will be 2 × 5 = 10 miles,

Hence, for 8 inches the distance will be =  8 × 10 = 80 miles,

Therefore, the real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.

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Answer:

1. 10 + 10 + 10 = 30

2. 5 + 5 + 10 = 20

3. 4 + 4 + 5 = 13

4. 5 + 9 x 2 = 23

Step-by-step explanation:

I hope this helps! Stay safe and have a wonderful day! :3

Answer:

5 + 4 + 10 = 19

Step-by-step explanation:

the boy is wearing a pair of shoes and holding two popcorns.

Answer: 60

Step-by-step explanation:

The three interior (inside) angles in a triangle will always add up to 180°.

60 + 60 + y = 180

120 + y = 180

-120

y = 60

60 * 3 = 180

Answer:

B. 60

Step-by-step explanation:

It is an equilateral triangle, meaning all sides and angles are equal. This also means that if the angle of point B is 60°, then the angle of points C and A are also 60°.

Answer:

It is equivalent to 15x – 3)(2x + 1) = 0.       False

It is equivalent to (5x – 3)(2x + 1) = 0        True

Either   x=-1/2   or    5/3

Step-by-step explanation:

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

It is equivalent to 15x – 3)(2x + 1) = 0.       False

It is equivalent to (5x – 3)(2x + 1) = 0        True

When you take pull-out (2x+1), you will be left with (5x-3)

5x (2x + 1) - 3(2x + 1) = 0.

(2x+1)(5x-3)=0

Either 2x + 1 = 0                        

2x = -1    

Divide both-side of the equation by 2

2x/2 = -1/2                                    

  x= -1/2                                        

OR

5x-3 =0

5x = 3

Divide both-side of the equation by 5

5x/5 = 3/5

x = 5/3

Either   x=-1/2   or    5/3

Answer:

D

Step-by-step explanation:

(x-2)(x-2)+6

FOIL

The correlation coefficient is a number that indicates the direction

and closeness of points of a line of best of fit.

So it tells us two things.

It tells us the direction of the line of best fit

and it tells us the closeness of the points.

Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.

It will be a negative correlation because the slope is negative.

Answer:

c. r = –0.64

Step-by-step explanation:

edgu 2020

Answer:

option D

Step-by-step explanation:

Since one of the three angles is 90° , it is a right triangle

Answer:

4x 12y 8

Step-by-step explanation:

hopefully this helps you

The value of the solution of the expression (x³ y²)⁴ is, x¹² y⁸.

Used the rule of the exponent to solve the equation that states,

[tex](x^{m} )^n = x^{m \times n}[/tex]

[tex](xy)^{m} = x^m \times y^m[/tex]

Given that,

The expression is,

(x³ y²)⁴

Now apply the rule of the exponent to solve the equation as

[tex](x^3 y^2)^4[/tex]

It can be written as,

[tex](x^3 )^4 \times (y^2)^4[/tex]

Multiply the powers,

[tex](x^{3\times4} y^{2\times 4} )[/tex]

[tex]x^{12} y^{8}[/tex]

Therefore, the solution of the expression (x³ y²)⁴ is, x¹² y⁸.

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Answer:

Step-by-step explanation:

Multiplying bases with exponents means you have to multiply the base and add the exponent. So:

(10⁴)(5²) = 50⁶

(10³)(5³) = 50⁶

Now the equation is (50⁶/50⁶)³

Anything divided by itself will be one, so the number inside the parentheses is 1.

Now the equation is 1³, and 1x1x1 is 1.

David's winnings decrease faster Between 4.5 and 6 hours since he started playing. so option B is correct.

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

David played a slot machine.

W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).

Lets calculate the average rate of change of W(t).

ARC ( 1, 4.5)

[tex]W(t) = \dfrac{W(4.5)- W(1)}{4.5-1}\\\\W(t) = \dfrac{-70}{3.5}\\\\W(t) = -20\\[/tex]

ARC( 4.5, 6)

[tex]W(t) = \dfrac{W(6)- W(4.5)}{6-4.5}\\\\W(t) = \dfrac{-51}{1.5}\\\\W(t) = -34\\[/tex]

Thus, the average rate of change over the interval ( 4.5, 6) is greater than the average rate of change over the interval ( 1, 4.5).

Hence, David's winnings decrease faster Between 4.5 and 6 hours since he started playing.

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Answer: usually letters are one of the variables in math (x,y) such as 7+x=10, x+4=10

Step-by-step explanation:

an element, feature, or factor that is liable to vary or change

Answer:

y = -3x +7

Step-by-step explanation:

The y intercept is 7.  It is where the line crosses the y axis

We also need to find the slope

We need two points (0,7) and (3,-2)

m = (y2-y1)/(x2-x1)

   = (7 - -2)/(0-3)

  (7+2)/(0-3)

  9/-3

 -3

The equation of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -3x +7

Answer:

D

Step-by-step explanation:

Answer: A And C  ez

Step-by-step explanation: