Question 12
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Cost of Bottled water. A water bottling company charges $8 per month for their water dispenser and
$4 for each gallon of water delivered. If you have g gallons of water delivered in a month, then the
expression 8 + 4g gives the amount of your bill for that month. Find the monthly bill for 20 gallons.

If the dealer gives Bernie the listed trade- in price for his car,  he will pay $391.97  monthly.

Given that,

Bernie has decided to purchase a new car of $ 18,575.

The sales tax is 7.40%

Now,

18,575 x 7.40% = 1,374.55

Now, summing up the result of sales tax and purchase price, we get,

18,575 + 1,374.55 = 19,949.55

Bernie will give registration fees of $795

and, a documentation fees: $110

Now , we will sum up all the above information, i.e.,  

= 19,949.55 + 795 + 110

= 20,854.55

Now, divide the result of documentation fees and registration fees by 5

                         20,854.55 ÷ 5 = 4,170.91

Dividing the above result by 12,                      

                          4,170.91 ÷ 12 = 347.58

Now, the finance the rest of the cost for five years at an interest rate 12.77%.

                       347.58  x 12.77% = 44.39

And,

                       347.58 + 44.39 = 391.97

Therefore, If the dealer gives Bernie the listed trade - in price for his car,  he will pay $391.97  monthly.

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The inequality that represents the number of songs and albums that Jorge could download is:

$2*s + $12*a ≤ $50

Here we have the variables:

s = number of songs.

a = number of albums.

Then the total cost can be written as:

$2*s + $12*a

And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:

$2*s + $12*a ≤ $50

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Answer:

The answer to your questions is 96.

The value of 20,304 using exponents will be 2.0304 × 10⁴.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the value of 20,304 will be:

= 2.0304 × 10000

= 2.0304 × 10⁴.

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Answer:

Step-by-step explanation: the distance is 6 but if you're talking decimal then the distance is 1.4142

Answer:

The two numbers are 17 and 44.

Step-by-step explanation:

x --> smaller number

y --> larger number

x + y = 61

y = 3x - 7

x + 3x - 7 = 61

4x - 7 = 61

4x = 68

x = 17

y = 3(17) - 7

y = 51 - 7

y = 44

Answer:

$193.60

Step-by-step explanation:

160x1.21=$193.60

160+21%=$193.60

Answer:

slope = - [tex]\frac{7}{13}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, - 10 ) and (x₂, y₂ ) = (- 4, - 3 )

m = [tex]\frac{-3-(- 10)}{-4-9}[/tex] = [tex]\frac{-3+10}{-13}[/tex] = [tex]\frac{7}{-13}[/tex] = - [tex]\frac{7}{13}[/tex]

Answer: 13g

Step-by-step explanation: because each gram is 1000 milligrams

The number of possible pair that could be chosen for duet is  1540 .

In the question ,

it is given that ,

total number of females in the choir group = 56 women

for duet the number of females that are required = 2 ,

the number of possible pair that can be chosen for the duet = ⁵⁶C₂ ,

⁵⁶C₂ = (56 × 55 × 54!)/2! × (56 - 2)!

= (56 × 55 × 54!)/2! × 54!

cancelling out the common factor 54! , we get

= (56 × 55)/2          .... because 2!= 2

= 28 × 55

= 1540

Therefore , The number of possible pair that could be chosen for duet is  1540 .

The given question is incomplete , the complete question is

56 women makes up an all female choir in a church. Two women are chosen to sing together for a duet. How many possible pair could be chosen for the duet ?

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The sequence is geometric and the common ratio is 1/7

An arithmetic sequence is a sequence of numbers in which each differs from the preceding one by a constant value e.g 2, 4, 6, etc. That is: 6-4 = 4-2 = 2

A geometric sequence is a sequence of numbers with a constant ratio between each number and the one before e.g.  9, 27, 81, etc. That is: 81/27 = 27/9 = 3

Given: 147, 21, 3

This sequence does not have a common difference. Thus, it is not arithmetic

This sequence has a common ratio. Thus, it is geometric

common ratio = 21/147 = 1/7 or 3/21 = 1/7

Therefore, the sequence is geometric and has a common  ratio of 1/7

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Using the theories of quantitative​ variables, we got that Graphical display is the first thing that should be​ done when we are analyzing two quantitative​ variables.

Comparing the Two Quantitative Variables As we did when considering only one variable, we begin with the graphical display. A scatterplot is the most useful display technique for comparing the two quantitative variables. We plot on the y-axis the variable we consider for the response variable and on the x-axis we place the explanatory or the predictor variable.

Hence, When analyzing two quantitative​ variables,  the first thing that should be​ done is Graphical display.

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If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

A linear graph can be either increasing, decreasing or constant.

Here the price of the car is being discounted $200 every week, so as the number of weeks increase, the price of the car decreases

So, the graph for this situation will be linearly decreasing.

The slope of this kind of graph is negative/

Therefore, If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

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Answer:

$2940

Step-by-step explanation:

30 percent *4200 =

(30:100)*4200 =

(30*4200):100 =

126000:100 = $1260

4200-1260=$2940

The set of ordered pairs that represent 90 degrees counter clockwise rotation about he origin is

3) A' (-6, 1) B' (-6, 6) C' (-2, 1)

Rotation is a from of transformation that involves circular movement about an axis.

There two types of rotation

The transformation rule for 90 degrees clockwise rotation is as follows

(x, y) for a scale factor of r → (-y, x)

From the graph the coordinates are read and following the given transformation rule we have

preimage   image

A (1, 6)   →   A' (-6, 1)

B (6, 6)  →  B' (-6, 6)  

C (1, 2)  →   C' (-2, 1)

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Answer: y= (7a+9b)/8

Step-by-step explanation:

I can only provide the answer now, If you want more explanations reply this

Step-by-step explanation:

(2y - a)/3 = (a + 3b)/4

first we get rid of the fractions by multiplying everything first by 3 and then also by 4 ;

(2y - a) = 3(a + 3b)/4

4(2y - a) = 3(a + 3b)/4

8y - 4a = 3a + 9b

8y = 7a + 9b

y = (7a + 9b)/8

The values of m<4 and m<6 are 160° and 20° respectively

To solve this problem, we need some angle geometry knowledge:

Given that: m<6 = 1/8 m<4

Since m<6 = 1/8 m<4. Thus, m<4 = 8.m<6

m<6+ m<4 =  m<6 + 8.m<6 = 9.m<6    (Algebra)

m<6+ 8.m<__ = 180° will be:

m<6+ 8.m<6 = 180°      

Note: m<6 + m<5 = 180° (angles on a straight line) and m<5 = m<6 (alternate angles)

m<6+ 8.m<6 = 180°

9.m<6 = 180°

m<6 = 180/9 = 20°

m<4 = 8 x m<6

m<4 = 8 x 20° = 160°

Therefore, the values of m<4 = 160° and m<6 = 20°

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Answer:

$712.50

Step-by-step explanation:

.95(750) = 712.5  If they give 5% to the seller, they get to keep 95%

The division of 5.375 divided by 0.25 results to 21.5

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. How many groups will be created,

for instance, if 30 students need to be separated into groups of five for a sporting event?

In this case, we must divide 30 by 5. 30 x 5 = 6 will be the outcome.

Given:

5.375 divided by 0.25

Now, dividing the above decimal

= 5.375/ 0.25

= 5375 x 100 / 25 x 1000

= 215 / 10

= 21.5

Hence, the division results to 21.5

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Answer:the last option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct Answer: C.

First we can see that the slope is negative, meaning the graph is decreasing.

Then we go to the point (-1,0) and go down 2 and 3 right. if that point is on the line, then we know it's correct.

The average speed for the whole journey is 95.3km/hour

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

Average speed = Total distance/total time taken

The distance covered in the first journey is 75km and the time spent is calculated as Distance/speed

= 75/110 = 0.68hour

The time used for the second journey is

= distance/speed

= 7/40 = 0.18 hour

The total time spent = 0.68+0.18 = 0.86 hour

The total distance traveled = 75+7 = 82km

Therefore the average speed = 82/0.86 = 95.3 km/hour.

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Answer:

1/2 teaspoon of salt per 1 teaspoon of baking soda.

Step-by-step explanation:

If you're starting with 1/2 tsp of baking soda and 1/4 tsp of salt, you can multiply that by two and still have the same ratio of salt to baking soda.

:)

Answer:

Solution

=5(X+10)+X

=5×x+5×10+x

=5x+50+X

=6x+50

Step-by-step explanation:

Your answer is 6x+50.

Answer:

6.481.

Square Root of 42 in Decimal Form: 6.481.

The rule for given translation is (x,y)→(x + 3, y - 4).

In mathematics, the phrases translation, rotation, and reflection are all used to describe the change of forms. This refers to a form moving beyond a mirror line or a fixed point. While being translated, rotated, or reflected, the shape doesn't change. The constant rotation of a shape around a fixed point or across the mirror line is known as translation. Rotation defines the way a form moves about a central axis. Shapes can be rotated by a specific number of degrees either clockwise or counterclockwise.

The rule for translation of given figure will be,

We need to move x for 3 units to left and y for 4 units downwards to get the translation, so the rule is:

(x,y)→(x + 3, y - 4).

Therefore, the rule for given translation is (x,y)→(x + 3, y - 4).

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Using the Work time problem solving technic, Betty and Bullwinkle to mow the entire lawn in 30 minutes if they are working together.

As we know that if A is complete the work of z in x days and B is complete the same work (z) in y days then both of can do complete work together then Equation of both A and B are completing work (z) together in

( 1/x + 1/y = 1/z ) days

Since Betty can mow a lawn is 120 minutes, then

Betty's mowing rate is 1/120th of a lanw per minute.

Since Bullwinkle can mow a lawn is 40 minutes, then Bullwinkle mowing rate is 1/40th of a lawn per minute.

Suppose working together they can a lawn in x minutes.

both together they can mow a lawn is x minutes, then their combined mowing rate is 1/x th of a lawn per minute.

To get the equation,

the sum of their mowing rates must equal their combined mowing rate,

1/40 + 1/120 = 1/x

Solve that by multiplying through by LCD of 40 and 120 is 120 then 4x = 120 => x = 30

Hence, when both are working together they complete the work together in 30 minutes .

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Answer: I don't know  

Step-by-step explanation:

Answer:

the answer is-7

Step-by-step explanation:

Answer:

Exact form: -31/4

Decimal form: -7.75

Mixed number form: -7 3/4