Aisha can work up to 20 hours per week. Working at a bakery, she earns $7 per hour most of the time and $8.50 per hour during the early morning shift. Aisha needs to earn at least $150 this week to pay for a trip with her
friends. Determine the number of regular and early morning hours that Aisha could work.

Answer: The measure of  is 115°.

Step-by-step explanation:

Now, assuming those angles are supplementary, then

m<7 + m<2 + 180

Because, supplementary angles sum 180\°, due to their position on a straight angle.

We know by given that m<7 = 115 , replacing this value, we have

115 + m<2 + 180

m<2 = 180 - 115

m<2 + 65

Step-by-step explanation:

Answer:

y = -1/3x -3.5

Step-by-step explanation:

line interesects y axis at -3.5, distance between dots is down 1 and forward 3

it is possible to make a triangle with the sides 3, 3 and 9

true

1 cubic foot is equivalent to 1728 cubic inches, this is why the statement is false.

1 square foot is equivalent to 144 square inches, so the second statement is also false.

The third statement is also false because if we triple both dimensions of a rectangle, the area will be increased by a factor of 9.

This statement is true because when we multiply 3x3x3 we actually get a factor of 27

IN THE PLACE OF X YOU INSERT THE NUMBER GIVEN AS F(X<<<) AND SIMPLIFY .

[tex]f(1) = 8(1) + 7 \\ f(1) = 8+ 7 \\ f(1) = 15[/tex]

[tex]f( - 9) = 8( - 9) + 7 \\ f( - 9) = - 72 + 7 \\ f( - 9) = - 65[/tex]

[tex]f(0) = 8(0) + 7 \\ f(0) = 0 + 7 \\ f(0) = 7[/tex]

GOODLUCK !!

Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

x - 3 y + 0 z = -19 | (equation 3)

Add equation 1 to equation 3:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x - 3 y + z = 8 | (equation 3)

Add 3/4 × (equation 2) to equation 3:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x + 0 y + (13 z)/4 = 89/4 | (equation 3)

Multiply equation 3 by 4:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x + 0 y + 13 z = 89 | (equation 3)

Divide equation 3 by 13:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 3 z = 19 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Subtract 3 × (equation 3) from equation 2:

{-x + 0 y + z = 27 | (equation 1)

0 x + 4 y + 0 z = -20/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Divide equation 2 by 4:

{-x + 0 y + z = 27 | (equation 1)

0 x + y + 0 z = -5/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Subtract equation 3 from equation 1:

{-x + 0 y + 0 z = 262/13 | (equation 1)

0 x + y + 0 z = -5/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Multiply equation 1 by -1:

{x + 0 y + 0 z = -262/13 | (equation 1)

0 x + y + 0 z = -5/13 | (equation 2)

0 x + 0 y + z = 89/13 | (equation 3)

Collect results:

Answer: {x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

In x you can put the value which can given in question.

Step-by-step explanation:

so, if I understand your text correctly, we need to bring

2 - (x+2)/(x-3) - (x-6)/(x+3)

into a form

(ax + b)/(x² - 9)

what we notice immediately is

(x+3)(x-3) = x² - 9

that makes sense, as we want to transform all terms into fractions with the same denominator.

and the necessary "criss-cross" multiplication leads to (x² -9) as denominator.

so, let's transform every term to a fraction with that denominator, and then we add or subtract them all up as per the original expression.

2 :

multiply by (x²-9)/(x²-9)

2(x²-9)/(x²-9) = (2x²-18)/(x²-9)

(x+2)/(x-3) :

multiply by (x+3)/(x+3)

(x+2)(x+3)/(x²-9) = (x²+3x+2x+6)/(x²-9) =

= (x²+5x+6)/(x²-9)

(x-6)/(x+3) :

multiply by (x-3)/(x-3)

(x-6)(x-3)/(x²-9) = (x²-3x-6x+18)/(x²-9) =

= (x²-9x+18)/(x²-9)

for the whole expression we get then

(2x²-18)/(x²-9) - (x²+5x+6)/(x²-9) - (x²-9x+18)/(x²-9) =

= (2x²-x²-x² -5x+9x -18-6-18)/(x²-9) =

= ( 0 + 4x - 42 )/(x²-9)

a = 4

b = -42

Answer: £900

Step-by-step explanation:

Answer:

(0, 3)

Step-by-step explanation:

-x+2y=6
-x=6+2y
x=-6+2y

-6+2y+2y=6
-6+4y=6
4y=12
y=3

-x+2(3) = 6
-x+6=6
-x=0
x=0

Answer: 0, 3

The value that makes the inequality true for the first inequality is x < 4 and x >4 for the second inequality

To solve this problem, we have to solve each of the inequality and find the missing values that holds them true.

For the first inequality,

Let x represent the unknown value

[tex]8 * \frac{x}{4} < 8\\\frac{8x}{4} < 8\\x < 4[/tex]

For the second inequality;

Let x represents the unknown value.

[tex]8 * \frac{x}{4} > 8\\ x > 4[/tex]

In the first inequality, x < 4 and the second inequality, x > 4.

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If Jenny studies one hour both for economics and history she can gain 10+15=25 points

Increasing: Growing larger or greater. Therefore, if the derivative of a function is positive, then the function is increasing. Let's consider our example of g(x) = x2. The derivative of g(x) = x2 is g'(x) = 2x. Since we are multiplying x by the positive number 2, it's easy to see that g ' is positive when x is positive and negative when x is negative.

Jenny will receive 15 points if she simply studies economics, which equates to 10 points in the first hour and 5 points in the second.

Jenny will earn 20 points if she exclusively studies history, which equates to 15 points in the first class and 5 points in the second.

Jenny should study economics for one hour, which will get her 10 points, and history for one hour, which will gain her 15 points, for a total of 25 points in the two hours

So we concluded that if Jenny studies one hour both for economics and history she can gain 10+15=25 points

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The graph of g will differ from the graph of f as the graph of g is the graph of f shifted 2 units to the right. Option C

This is further explained below.

A relation between a collection of inputs and one output for each of those inputs is the definition of a function.

A function is a connection between inputs in which each input is associated with precisely one output.

To put it another way, a function is a relationship between inputs. Each function has both a domain and a codomain or range that it operates inside.

Generally, The progression towards

g(x) = f(x -h) +k

depicts a translation with k units added on top and h units added to the right.

Since you have h equal to 0 and k equal to -2, this means that the graph is moved 0 units to the right and 2 units in the opposite direction of up.

The graph of g may be found by shifting f's graph down by two units.

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Answer:

1.07

friend me? anyone

Answer:

6.5 hours

Step-by-step explanation:

distance = rate times time

1.1 = .17t  t stands for time  Divide both side by .17

my calculator shows 6.47058823527  We need to round to one decimal place

time = 6.5 hours or 6 1/2 hours

1/2 + 1/4 =

2/4 + 1/4 = = 3/4 = 0.75

Answer:

Y=3X-4

Step-by-step explanation:

1. Find the slope using matching (x,y) values. (5,11) and (2,2) for example. (Change in Y)/(Change in X) [tex]\frac{11-2}{5-2}[/tex] = [tex]\frac{9}{3}[/tex] = 3

2. Use the point-slope form to find the equation. Pick a matching (x,y) value. (2,2) for example. and plug it in for Y₁ and X₁ in the equation Y-Y₁=M(X-X₁)

with M as the slope. Y-2=3(X-2).

3. Simplify

Y-2=3X-6

Y=3X-4

Answer:

3

Step-by-step explanation:

Use the slope formula

y2-y1/x2-x1

Answer:

its 40

Step-by-step explanation:

200 and 240 have an HCF of 40.

Finding all common factors between two numbers and choosing the biggest one yields the highest common factor (HCF).

So, let's determine factors of 200

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200 are all factors of 200.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240 they are all factors of 240.

now, we will select the highest common factors of 200 and 240.

the highest common factors of 200 and 240 is 40.

Hence, the HCF of 200 and 240 is 40.

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Answer: 5 Hours

Step-by-step explanation:

14 miles x 5 hours = 70miles in 5 hours.

Hope this helps!

As per the volume of a rectangular prism, it is found that 34.76% of the container is empty.

Volume of a rectangular prism

The volume of the rectangle prism is calculated by multiplying the length, breadth and height of the prism.

The formula for the volume of rectangle prism is

V = l x w x h

where

l represents the length

w represents the width

h represents the height

Given,

A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 7 ft 3 in.

Here we need to find if the container holds 1096 cubic feet of shipped goods, what percent is empty

According to the given question,

Let us consider the length is 30ft, Width is 8ft and Height is 7ft.

Here the value 3ft refers the depth.

That one is also multiplied with the volume.

Therefore, the volume of the container is

=> 8 x 7 x 30

=> 1680

Therefore, the volume of the container is 1680 cubic feet.

So, here we have to percentage of the empty space for that we have to find the difference of them and convert it into percentage,

=> 1680 - 1096

=> 584

The percent of empty space is,

=> x% of 1680 = 584

=> x% = 584/1680

=> x% = 0.3476

=> x = 34.76

Therefore, 34.76% of rectangular prism container is empty.

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The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

Answer:

Given that,

Calvin has three alarm clocks which sound at different intervals.

Clock A goes off every 10 minutes

Clock B every 15 minutes

Clock C every 20 minutes.

To find: the three clocks sound together every _minutes

The three clock sounds together for every least common minutes of the 3 clocks (A,B,C)

To find LCM of 10,15,20.

we get,

LCM of 10,15,20 is 60

Therefore we get that,

The three clock sounds together for every 60 minutes.

Answer is:

The three clock sounds together for every 60 minutes.

Answer:

24 and 11

Step-by-step explanation:

See attached worksheet.