Korey is planning to open a comic book store. he has developed the following expense breakdown for set-up and operation for the first year. korey has $8,500 in savings and $25,000 in inheritance money to use to open his store. will korey have enough to run his business for a full year? expense amount rent $10,800 insurance $3,000 store fixtures $2,700 computer and cash register $1,200 inventory $17,400 a. yes, korey will have $1,600 to spare. b. no, korey will be short $1,600. c. yes, korey will have $15,800 to spare. d. no, korey will be short $15,800.

Answer:

See below ~

Step-by-step explanation:

Drawing the rectangle (Refer attachment)

Horizontal sides

Vertical sides

Perimeter

To consider whether this statement is true or not

   ⇒ must determine the number of milliliters in a liter

        ⇒ 1 Liter = 1000 milliliter

To compare both containers, lets set both containers in terms of milliliters

By looking at the data

  ⇒ the 3000-milliliter container holds more than the2-liter container

Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container

  ⇒ False

Answer: False

Hope that helps!

Answer:

False because 2 liters = 2,000 milliliters. Therefore that is not possible.

Answer:

x = 7.5

y = 9

Step-by-step explanation:

Remark

Notice that the symbol of the angle above 6x + 5y is the symbol for a right angle. Since all three angles are on a straight line, they are either the supplement of a right angle or a right angle.

Givens

right angle

The right angle's supplement (which is also 90degrees) of (6x + 5y)

10y = 90 degrees which a corresponding equal angle to (6x + 5y)

Solution

10y = 90               See remarks for reason. Divide by 10

10y/10 =90/10

y = 9

6x + 5y =90

6x + 5*9 = 90      Combine

6x + 45 = 90        Subtract 45 from 90

6x = 90 - 45         Combine

6x = 45                 Divide both sides by 6

6x/6 = 45/6

x = 7.5

Answer:

100% it is  B. 1/2(172 - 58)

Step-by-step explanation:

The expression which gives the measure of ∠ACE in the diagram below is [tex]\frac{1}{2}[/tex] (172° - 58°). So option B is the correct one.

Secant angle theorem is a theorem which states that when two secants which intersects the circle at two different points are intersected at a point outside the circle, then the angle formed at the intersection is equal to the half of the measure of the intercepted arcs.

Given a circle with two secants, ABC and EDC, which touches the circle at different points.

They both intersects at point C.

The intercepted arcs are arc AE and arc BD.

Using the Secant Angle theorem, measure of angle ∠ACE is the half of the measure of arc AE and arc BD.

m ∠ACE = [tex]\frac{1}{2}[/tex] (AE - BD) = [tex]\frac{1}{2}[/tex] (172° - 58°)

Hence the required expression is 1/2 (172° - 58°).

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Answer:

(-4,6)

Step-by-step explanation:

When rotating a point about the origin, we can simply add and negative sign in front of both the x and y.

(4,-6)

(-4, - -6)

When there are two negatives, it automatically becomes a positive (+)

(-4,6)

Answer:

6

Step-by-step explanation:

x-2=4

x=6

6-2=4

hope it helps

Answer:

a) 43.8 cm

I don't see a part b but let me know if you just forgot to include it and I can answer :)

Step-by-step explanation:

Step I: [Take only first 5 digits] A five digit number divisible by 5 can only end with '5'(0 is not allowed)

=> Middle digit is 5. Number is _ _ _ _ 5 _ _ _ _

Step II: All even digits should be even. because they'll be divided by an even number.

Step III: [Take only first 8 digits]An eight digit number with 6th digit as even number, last 2 digit can have only 4 combinations, . These are 96, 16, 72, 32. Number will be as follows:

(EDIT: Considering that it is divisible by 8 and 7th digit is odd)

_ _ _ _ 5 _ 1 6 _

_ _ _ _ 5 _ 9 6 _

_ _ _ _ 5 _ 7 2 _

_ _ _ _ 5 _ 3 2 _

Step IV: [Take only first 4 digits]A four digit number divisible by four ends only with 2 or 6. Keeping in mind that these number don't repeat only 4 Combinations are possible:

(EDIT: Using the fact that 3rd digit is odd and is divisible by 4)

_ _ _ 2 5 _ 1 6 _

_ _ _ 2 5 _ 9 6 _

_ _ _ 6 5 _ 7 2 _

_ _ _ 6 5 _ 3 2 _

Step V: [Take only first 6 digits]For a number to be divisible by 6; 6th number should be even and last three digit should add up to make a multiple of 3. Only 4 Combinations possible

_ _ _ 2 5 8 1 6 _

_ _ _ 2 5 8 9 6 _

_ _ _ 6 5 4 7 2 _

_ _ _ 6 5 4 3 2 _

Step VI: Now only one even number is remaining for occupying 2nd place in each of the above combination. For example in Ist case: 4 is the only remaining even number to be consumed. The combination will go as follows:

_ 4 _ 2 5 8 1 6 _

_ 4 _ 2 5 8 9 6 _

_ 8 _ 6 5 4 7 2 _

_ 8 _ 6 5 4 3 2 _

Step VII: Total 10 combinations remain:

1 4 9 2 5 8 1 6 _

9 4 1 2 5 8 9 6 _

3 8 1 6 5 4 7 2 _

1 8 3 6 5 4 3 2 _

3 8 1 6 5 4 7 2 _

1 8 3 6 5 4 3 6 _

1 8 9 6 5 4 7 2 _

9 8 1 6 5 4 3 2 _

1 8 9 6 5 4 7 2 _

9 8 1 6 5 4 3 2 _

Step VIII: Taking only first 7 digits of all of the above numbers. Only 3816547 is divisible by Seven

Complete number 381654729 is divisible by 9.

I am sure only 381654729 thus satisfies the answer.

Feel free to correct me if im work

Answer:

-1/5

Step-by-step explanation:

let's put the function in slope intercept form (y = mx + b).

x + 5y = 10

y = - (1/5)x + 2

when the function is in slope intercept form, (m) is the rate of change or the slope.

therefore, the rate of change -1/5

Answer:

3570

Step-by-step explanation:

We use percentage formula here:

Beginning Amount * Percentage = Final Amount

Plug in the values

3200 * 15/100 = Final

480=  Final

Now we have 480 ppl growth from 97 to 07, so we have 3680 people

3680 * 3/100= Final

110.4= Final

110=Final

(Rounded)

Now that we decreased, we subtract 3680-110 and get the final population of 3570

We are given two metrics to work with: 10 years of time, and population change. The base is 3200 people at 1997. Ten years later, 3200 is increased to 3680 people, presumably due to living conditions improving. Another ten years later, the town's situation is stagnating. The population decreases somewhat, dropping down to 3569.6. This is because someone lost an arm and a leg, decreasing their person status to 60%.

Answer:

588

Step-by-step explanation:

Formula for area of parallelogram is just base x height, so you do 28*21 and you get 588.

hope that helped :)

The probability helps us to know the chances of an event occurring. The probability that the next card Craig selects will be a falcon

card is 3/17.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Craig gets 4 hummingbirds, 3 falcons, 1 woodpecker, 4 owls, 3

loons, and 2 eagles. Therefore, a total of 17 possible outcomes. Now, since the number of outcomes which are falcon is 3. Therefore, the probability of the next card being a falcon can be written as,

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability = \dfrac{\text{Number of falcon cards}}{\text{Total number of possible outcomes }} = \dfrac{3}{17}[/tex]

Hence, the probability that the next card Craig selects will be a falcon

card is 3/17.

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Answer:

72sides

24sides

yes parallelogram, each opposing angle is the same

Answer:

See below ~

Step-by-step explanation:

1.

2.

Answer:

please ask the question clearly

A linear function is a function with the form f(x) = ax' + b. It looks like a regular linear equation, but instead of using y, the linear function notation is f(x). To solve a linear function, you would be given the value of f(x) and be asked to find x.

Answer:

432 members

Step-by-step explanation:

300*1.2=360,360x1.2=432

300 represents the starting number, we multiply it by 1.2 because 1.2 means 20%, when we multiply, we get 360, that means that there are 260 members in december, so then we mutiply 360*1.2 in order to find out how many members there are in january, 360*1.2=432

Answer:

Step-by-step explanation:

Answer:

2-3 is 1 ~

1 + 4 is 5

5+6 = 11

Step-by-step explanation:

So ur answer is 11.

Answer:

Transitive

Step-by-step explanation:

Answer:

8.25in

Step-by-step explanation:

6×4=24in

198÷24=8.25in

hence the answer is 8.25in

Answer:

See below ~

Step-by-step explanation:

#7)

#8)

it's a multiplication!

not sure if you need the answer but just incase:

5(8+2)-4

= 5×(8+2)-4 (same as 5×8+5×2-4)

= 5×10-4

=50-4

=46

Answer:

Step-by-step explanation:

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The perimeter of the triangle is 6a + 3 units. Write an expression in simplest form for the length of Side 3.

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The length of the third side is a-2.

Given that:

Perimeter of triangle: 6a + 3

Length of first side: 2(a+3)

Length of second side: 3a -1

Let the length of the third side of the triangle be x.

Then as perimeter of a triangle is sum of lengths of all 3 sides of the triangle, thus we have:

Thus we have length of the third side as a -2.

Answer:

[tex]y-6=\frac{3}{2} (x+6)[/tex]

Step-by-step explanation:

Hi there!

We are given a point (-6, 6) and a slope of [tex]\frac{3}{2}[/tex]

We want to write the equation of the line that contains this point and slope in point-slope form

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

As we are already given everything we need, we can simply substitute the values into the formula

Starting with the slope, substitute 3/2 as m into the equation:

[tex]y-y_1=\frac{3}{2} (x-x_1)[/tex]

Now substitute -6 as [tex]x_1[/tex] and 6 as [tex]y_1[/tex]

[tex]y-6=\frac{3}{2} (x--6)[/tex]

Simplify:

[tex]y-6=\frac{3}{2} (x+6)[/tex]

Hope this helps!

Answer:

3x+7=58

  -7       -7

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

3x = 58 - 7

3x = 51

div 3.     div 3.   (on both sides)

51/3 = 17

Answer is 17, so the letter would be C