William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?

Answer:

See below.

Step-by-step explanation:

In multiplication and division of two numbers:

equal signs equal positive

different signs equal negative

Now you can answer every question.

1. What is a negative times a positive different signs negative

2. A Positive times positive equal signs positive

3. A negative times a negative equal signs positive

4. What is a negative divided by a positive different signs negative

5. A Positive divided by positive equal signs positive

6. A negative divided by a negative equal signs positive

Answer:

1: - x + = -

2: + x + = +

3: - x - = +

4: - divided by a + is -

5: + divided by a + is +

6: - divided by a - is +

Answer:

Step-by-step explanation:

So we have direct proportions here.

So

715=11

845=x

845*11/715

x=13

To check our work.

715/11=65

65*13=845.

Basically, in this formula, you use cross multiplication. So A*B=B*A. B and B go together and A and A go together/

So we can use the formula x = b*b/a. Since A is one of the A's and the other value of A is missing, we can use this formula to find it.

Hope this helped, ask me if you have any questions.

Answer:

[tex]=\pm i\sqrt{66}[/tex]

Step-by-step explanation:

So we have:

[tex]\pm\sqrt{-66}[/tex]

This is the same as:

[tex]=\pm\sqrt{66\cdot-1}[/tex]

Separate:

[tex]=\pm\sqrt{66}\cdot\sqrt{-1}[/tex]

Replace the second term with i:

[tex]=\pm i\sqrt{66}[/tex]

The square root of 66 cannot be simplified.

So, this is our answer :)

Answer:

The mean will be (significantly) less.

Depending on the other items, the median is either affected only slightly or not at all.

Of all the answer choices, B is the correct one.

Step-by-step explanation:

So, we know that initially, Chucky had a total of 12 items. Each of the items has a different price, but the average cost of them is $7.41.

One item of the twelve was a wheel of cheese that costs $39.99.

And we want to know how the average cost and median cost will be affected if we remove this wheel of cheese.

The important thing to note here is that the average cost is $7.41. The wheel of cheese, however, costs $39.99. Thus, it is an outlier. It is significantly more expensive than the other items.

Initially, to find the mean, we had to add the 12 items together and then divide by 12. However, now that we removed the expensive outlier, the average cost will now be less.

Algebraically, we can see this. Let t be the total cost of the items excluding the cheese. Thus, the mean initially is:

[tex]7.41=\frac{t+39.99}{12}[/tex]

Find t. Multiply both sides by 12:

[tex]88.92=t+39.99\\t=48.93[/tex]

Therefore, all the other items excluding the cheese totals $48.93.

If we remove the cheese, the total is now $48.93 and with only 11 items. Thus, the mean is now:

[tex]48.93/11\approx\$4.45[/tex]

This is almost $3 less than the original mean. Thus, the mean has decreased significantly.

For the median, we really don't know. Recall that the median is simply the "middle" quantity. Assuming all the other products are similarly priced, the median may only change slightly or it may not at all. However, we can only guess for the median as it will depend on the prices of the other products. Nevertheless, it mostly likely decrease.

Edit: Added Letter Answer

Answer:

B

Step-by-step explanation:

Create a function to help determine his total cost.

12 x $7.41 = $88.92

After putting the cheese back he has 11 items and his total cost went down.

$88.92-$39.99 = $48.93

To find the average cost per item divide by 11.

$48.93/11 = $4.45 per item

The mean (average) has gone down.

The median would be the middle number, so you would need to line the cost of the items up from least to greatest. If you have an even number of items, you take the mean of the middle 2 numbers. The block of cheese would have have given Chucky 12 items so the 2 middle numbers would have been averaged.

A hypothetical 12 and 11 items:

$1  $2  $2  $3  $4  $4  $5  $6  $7  $7  $8  $39.99

Mean $7.42  Median $4.5

$1  $2  $2  $3  $4  $4  $5  $6  $7  $7  $8

Mean $4.45     Median $4

Taking the cheese away would move the middle down 1 number so it would also go down, but not as much as the mean of cost per item.

B. Both the mean and median will decrease, but the mean will decrease by more than the median.

Answer:

Willa can type 60 words per minute

Step-by-step explanation:

60 minutes = 1 hour

1/4 hour = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

Quarter of an hour= 15 minutes

Willa can type 900 words in 15 minutes

how many words per minute can willa type?

Words per minute= Total words in 15 minutes / 15 minutes

= 900 / 15

= 60 words per minute

Willa can type 60 words per minute

Answers:

a = 3

x intercept = -2

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

Explanation:

f(x) is the original function given. Let g(x) be the inverse of f(x).

To find the inverse, we first replace f(x) with y to get

y = (1/3)x-2

Afterward, we swap x and y to get

x = (1/3)y-2

From here, we must isolate or solve for y. To do so, add 2 to both sides and then multiply both sides by 3

x = (1/3)y-2

x+2 = (1/3)y

3(x+2) = y

y = 3(x+2)

g(x) = 3(x+2)

This explains where the x+2 comes from in the a(x+2) expression

The value of 'a' is therefore a = 3

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

To find the x intercept of the inverse, we replace g(x) with 0 and solve for x

g(x) = 3(x+2)

0 = 3(x+2)

0/3 = x+2

0 = x+2

x+2 = 0

x = 0-2

x = -2

The x intercept is x = -2. Plugging this x value into g(x) leads to g(x) = 0.

The g(x) graph crosses the x axis at x = -2.

Answer:

13/5+(-12/7)÷ -31/7×1/-2.

13/5-12/7=31/35.

-31/7×1/-2=31/14.

31/35÷31/14=14/35.

Answer:

34 minutes

Step-by-step explanation:

Given that T varies inversely as R then the equation relating them is

T = [tex]\frac{k}{R}[/tex] ← k is the constant of variation

To find k use the condition

T = 55 when R = 200, that is

55 = [tex]\frac{k}{200}[/tex] ( multiply both sides by 200 )

11000 = k, thus

T = [tex]\frac{11000}{R}[/tex] ← equation of variation

When R = 325, then

T = [tex]\frac{11000}{325}[/tex] ≈ 34 minutes ( to the nearest minute )

Answer:

Option 2

Step-by-step explanation:

An inverse variation can be represented by the equation xy=k or y=kx .

If (x1,y1) and (x2,y2) are solutions of an inverse variation, then x1y1=k and x2y2=k

Substitute x1y1 for k

x1y1=x2y2   or x1x2=y2y1

The equation x1y1=x2y2 is called the product rule for inverse variations.

Let x be the time required, and y the rate of pumping.

x1 = 55min  y1 = 200gal/min

x2 = Unknown y2 = 325gal/min

(55)(200) = x2(325)

11,000 = x2 (325)

11,000/325 = x2

33.84 = x2

34 minutes

Answer:

d=4√2

Step-by-step explanation:

distance formula = √(x2-x1)²+(y2-y1)²

d=√(4-8)²+(-7-(-3))²

d=√4²+(-4)²

d=√16+16 = √32=√2²*2²*2

d=4√2

Answer:

C. 3,700 square feet

Step-by-step explanation:

add the area of both the front and half of the back yard.

Answer: The exact form is 5.3965953e-16. But in exponential form: 9^(-16).

Step-by-step explanation:

Use your calculator to plug in the negative powers and to multiply. Do it one step at a time. If you want exponential form, then here:

9^(-53) * 9^(37)

Add exponents keep base

9^(-16)

Hope this helps

Answer:

  exponent: 3; base: 4

Step-by-step explanation:

An exponent is used to signify repeated multiplication. In a typeset expression is has a superscript format. The base is the value being repeatedly multiplied.

  [tex]4^3=4\cdot4\cdot4[/tex]

The exponent is 3.

The base is 4.

_____

In plain text, an exponent is preceded by a caret (^). If the exponent consists of more than a single constant or variable, it must be enclosed in parentheses. The above expression would be written as 4^3.

Answer:

f(3) = 11

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 3(3) + 2 = 9 + 2 = 11

Answer: f(3) = 11

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(3).

We find f(3) plugging 3 in for x,

everywhere that x appears in the function.

So we have 3(3) + 2 which is 9 + 2 or 11.

So f(3) = 11.

Answer:

7/10

Step-by-step explanation:

In 0.7 we will change the decimal to fraction. First we will write the decimal without the decimal point as the numerator. Now in the denominator, write 1 followed by one zeros as there are 1 digit in the decimal part of the decimal number. Therefore, we observe that 0.7 (decimal) is converted to 7/10

━━━━━━━☆☆━━━━━━━

▹ Answer

7/10

▹ Step-by-Step Explanation

0.7 → The 7 is in the tenth's place, therefore this is written as 7/10.

Final answer - 7/10

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer: r = 1 10/11

Step-by-step explanation: The quantities x and y are proportional.

The direct variation between {x] and {y} is discussed below.

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor.

Given is that the quantities {x} and {y} are proportional.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

The straight line graph also represents a direct variation between {x} and {y}. We can write -

m = (y - c)/x

Here the ratio of (y - c)/x is always constant.

So, we can write -

(y₁ - c)/x₁ = (y₂ - c)/x₂ = m = k

for c = 0, we can write -

y₁/x₁ = y₂/x₂ = m = k {constant}

Therefore, the direct variation between {x] and {y} is discussed above.

To solve more questions on direct variation, visit the link below -

brainly.com/question/14254277

#SPJ3

Answer:

[tex]8\frac{37}{56}[/tex]

Step-by-step explanation:

[tex]12\frac{2}{7} + 3\frac{5}{8} = \frac{86}{7} + \frac{29}{8} = \frac{688 - 203}{56} = \frac{485}{56} = 8\frac{37}{56}[/tex]

Answer:

4.5

Step-by-step explanation:

7(2x-9)

14x-63=0

14x=63

X=4.5

The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "Seven times the difference of twice a number and nine" can be written in the form of an expression as,

Hence, The given statement "Seven times the difference of twice a number and nine" is written in the form of an expression as 7(2x-9).

Learn more about Expression here:

https://brainly.com/question/13947055

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Answer:

the first picture would be concave and the second one would be convex

Step-by-step explanation:

Well concave means to go inwards and convex means to go outwards.

Answer:

Step-by-step explanation:

First we need to find inverse function of f(x) which is written in a form of (f(x))^(-1)

That means that we are actually looking for function f(y) and we need to solve this equation for "y"

y=(4x + 1)/3

3y = 4x + 1

4x = 3y - 1

x = (3y - 1) / 4

f(y) = (3y - 1)/4

Now we simply put the value of 3 instead of y and find the answer:

f(y=3) = (3*3-1)/4 = 2

Answer is 2

90 % sure

The image attached shows an operation that can be represented with whole numbers, becuase there are positive and negative characters.

So, we know by given that there are +4 circles and -7 circles, and the whole can be expressed as the algebraic sum of them,

Therefore, the model can be represented by the number -3, which is the whole because is the result of the operation that represent each type of element.

hope i helped

-lvr

Integers come in three types:

Given:

Due to the presence of positive and negative inetegrs, the attached graphic illustrates an operation that can be expressed in whole integers.

As a result, we already know that there exist +4 circles and -7 circles, and that their algebraic total may be used to express the whole.

Because the outcome of the procedure to represent each type of element is the number -3, which is the whole, the model can be represented by this number.

Learn more about integers here:

https://brainly.com/question/15276410

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Answer:

A. 130 degrees

B. 50 degrees

Step-by-step explanation:

A. It's a straight line so the angle is 180. U subtract 50 from. 180 and u get 130

B. It 50 because it's vertically opposite angle to angle AEC

Answer:

a. the angle measure is 130°

b. the angle measure is 50°

Step-by-step explanation:

a. you have to subtract 180°- 50° to get 130°

b.angle AEC is congruent to angle DEB so they are both 50°

Answer:

[tex]y=-11[/tex]

Step-by-step explanation:

So we have the equation:

[tex]y=-2x+1[/tex]

To find y when x is 6, substitute x for 6. Thus:

[tex]y=-2(6)+1[/tex]

Multiply:

[tex]y=-12+1[/tex]

Add:

[tex]y=-11[/tex]

So our answer is -11 :)

Answer:

The answer is -11 which means y = -11.

Answer:

please upload the figure

Answer:

sin(B) =  [tex]\frac{15}{17}[/tex]

cos(B) = [tex]\frac{8}{17}[/tex]

tan(B) = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

I always find it easiest to model out the triangle: Angle B will be at the converging point of a and c.

Using SOH CAH TOA, we know that the Sin of an angle will be its opposite over hypotenuse. The opposite is 15, and the hypotenuse is 17.

So  [tex]\frac{15}{17}[/tex] is the sin of B.

We also know that the cosine of B will be it's adjacent over hypotenuse. The adjacent is 8 and the hypotenuse is 17, so

[tex]\frac{8}{17}[/tex]

Lastly, we know the tangent of B will be it's opposite over adjacent. The opposite of B is 15, and it's adjacent is 8, so

[tex]\frac{15}{8}[/tex] is the tangent of B.

Hope this helped!

Answer:

18 pieces

Step-by-step explanation:

This is a division problem.

1 m = 100 cm

To convert from cm to m we divide the length in cm by 100.

40 m + 50 cm = 40 m + 50/100 m = 40.5 m

The rope is 40.5 m long.

9/4 m = 2.25 m

Each piece is 2.25 m long.

[tex] \dfrac{40.5~m}{2.25~m} = 18 [/tex]

Answer: 18 pieces

Answer:

C is the answer!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2a+20=50

1/2a=30

a=10

Answer:

a= 60

Step-by-step explanation:

1/2a+2/3b=50, when b=30

Let's first subsitute 30 into b:

1/2a+2/3(30)=50

According to the order of operations, we must multiply 2/3 and 30 first.  So:

2/3 times 30 equals 20.

2/3 times 30/1.  3 goes into 30 ten times, so 2 times 10= 20.

Now we got:

1/2a+20=50

Since 20 and 50 are like terms, you want to geth those two together.  So, move the positive 20 to the other side where 50 is.  Since 20 got moved to the opposite side, it changes signs and becomes negative.

So:

1/2a=50-20        

50-20= 30

1/2a=30

Multiply each side by 2 because 2 is the only number that'll make the variable a just 1a.

1/2a times 2= 1a

30 times 2= 60, so:

1a= 60, which is also a= 60.

So a= 60.

Answer:

10

Step-by-step explanation:

The absolute value always returns a positive value, thus

| a | = | - a | = a

Given

| 5 - 15 | = | - 10 | = 10