Zenin earns $142 per shift at his new job. During a pay period, he works 12 shifts. What would his pay be for that period?

Answer:

A) 234 feet

B) Area of new parking lot = 28080 square feet

C) The new parking lot will be able to fit 20 more cars than the original parking lot.

Step-by-step explanation:

We are given the following information:

Length of parking lot = 180 feet

Width of parking lot = 120 feet

Number of cars that can be parked = 75

A) Increase in length  = 30%

New length =

[tex]\text{original length} + 30\%(\text{original length})[/tex]

[tex]= 180 + \bigg(\displaystyle\frac{30}{100}\times 180\bigg) = 180 + 54 = 234~feet[/tex]

B) New area =

[tex]\text{New length}\times Breadth\\= 234\times 120 \\= 28080~ square~feet[/tex]

C) Space required by 1 car = 288 square feet

Number of cars we want to fit = 75 + 20 = 95

Area required =

[tex]\text{Number of cars}\times \text{Space occupied by 1 car}[/tex]

[tex]= 95\times 288 = 27360~square~feet[/tex]

Hence, the new parking lot will be able to fit 20 more cars than the original parking lot.

A. This results in a new length of 234 feet.

B. The difference in area is 6480 square feet.

C. The new parking lot's area can only accommodate a fraction of a car more than the original lot's capacity of 75 cars, so it cannot fit 20 more cars.

A. The new length of the parking lot after a 30% increase is calculated by adding 30% of the original length (180 feet) to it.

= 180 * 1.3

= 234 feet

This results in a new length of 234 feet.

B. To find the greater area of the new parking lot compared to the original:

Original area: 120 feet (width) * 180 feet (original length) = 21600 square feet.

New area: 120 feet (width) * 234 feet (new length) = 28080 square feet.

The difference in area: 28080 square feet - 21600 square feet = 6480 square feet.

C. To check if the new parking lot can fit 20 more cars:

New area of the parking lot: 120 feet (width) * 234 feet (new length) = 28080 square feet.

Maximum number of cars in new area: 28080 square feet / 288 square feet per car ≈ 97.5 cars.

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Answer:

3+(5+-5)

Step-by-step explanation:

in the communtive property you simply just move the numbers, in associative you move the parenthesis, and in distributive you break up the numbers

Answer:

2229.08

Step-by-step explanation:

Step 1: Calculate miles travelled in one year

Miles travelled per day = 45 miles

Miles travelled in one year = 45 x 365 = 16,425 miles

Cost of gasoline per gallon = 3.8 for every 28 miles

Step 2: Divide total miles in one year by per gallon miles

16,425 ÷ 28

= 586.6 miles

Step 3: Multiply the answer by cost of gasoline

586.6 x 3.8

= 2229.08

Therefore, Aaron will spend 2229.08 on gasoline in one year.

Answer:

Aaron spend Rs.1642.4996 on gasoline in one year​

Step-by-step explanation:

Aaron drive in 1 day = 45 miles

1 year = 365 days

So, Aaron drives in 365 days = [tex]45 \times 365[/tex]

                                                = [tex]16425 miles [/tex]

We are given that his car averages 28 miles per gallons .

His car travels 28 miles in gallons = 1

His car travels 1 miles in gallons =[tex]\frac{1}{28}[/tex]

His car travels 16425 miles in gallons =[tex]\frac{1}{28} \times 16425[/tex]

                                                             =[tex]586.607[/tex]

Cost of 1 gallon = 2.80

Cost of 586.607 gallons = [tex]2.80 \times 586.607=1642.4996[/tex]

Hence Aaron spend Rs.1642.4996 on gasoline in one year​

Answer:

Carlos has practiced piano for [tex]\frac{29}{20}=1\frac{9}{20}[/tex] hours.

Carlos needs to practice [tex]\frac{11}{20}[/tex] hours.

Step-by-step explanation:

We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

First of all, we will find piano practiced before school and after school by adding both amounts as:

[tex]\frac{3}{4}+\frac{7}{10}[/tex]

Make a common denominator:

[tex]\frac{3*5}{4*5}+\frac{7*2}{10*2}[/tex]

[tex]\frac{15}{20}+\frac{14}{20}[/tex]

Add numerators:

[tex]\frac{15+14}{20}[/tex]

[tex]\frac{29}{20}[/tex]  

Therefore, Carlos has practiced piano for [tex]\frac{29}{20}[/tex] hours.

Now, we will subtract [tex]\frac{29}{20}[/tex] from 2 find number of hours Carlos needs to practice to reach his goal.

[tex]2-\frac{29}{20}[/tex]

[tex]\frac{2*20}{20}-\frac{29}{20}[/tex]

[tex]\frac{40}{20}-\frac{29}{20}[/tex]

[tex]\frac{40-29}{20}[/tex]

[tex]\frac{11}{20}[/tex]

Therefore, Carlos needs to practice [tex]\frac{11}{20}[/tex] hours before going to bed in order to meet his goal.

Answer:

Step-by-step explanation:

y= -5(10) + 30

y = -50 + 30

y = -20

x= 10

(10,-20)

this is the solution

Hey!

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

Answer:

(10, -20)

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

Solution:

y = -5x + 30

(-20) = -5x(10) + 30

-20 = -50 + 30

-20 = -20

The equation is true.

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

Hope This Helped! Good Luck!

Answer:2592

Step-by-step explanation:

Answer:

D) 8/7

Step-by-step explanation

(-4+6i )- 3-(2i)

-4 - 3 + 6i - 2i

-7 + 4i

Done.

The multiplication property used in the equation 7x2=2x7 is the Commutative Property of Multiplication, stating that the order of numbers doesn't affect the product.

The multiplication property used in the equation 7x2=2x7 is known as the Commutative Property of Multiplication. This property states that the order in which you multiply numbers does not change the product. For example, in your equation 7x2=2x7, the position of the numbers 7 and 2 have been switched, but the product remains the same (14).

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Answer:it is option D

Step-by-step explanation:

Answer:

x - 3y = 9

-3y = -x + 9

y = (1/3)x - 3

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

y = (1/3)x - 2

3y = x - 6

-x + 3y = -6

x - 3y = 6

To find an equation parallel to x - 3y = 9 that passes through the point (3, -1), rearrange the equation to slope-intercept form, determine the slope of the given line, and substitute the slope and coordinates into the point-slope form equation.

To find an equation parallel to x - 3y = 9 that passes through the point (3, -1), we need to determine the slope of the given line and then use it to form the equation of the parallel line.

First, we rearrange the given equation to find the slope-intercept form: y = (1/3)x - 3. We know that the slope of the parallel line will be the same as the slope of the given line, which is 1/3.

Using the point-slope form, we substitute the slope and the coordinates of the given point into the equation: y - (-1) = (1/3)(x - 3). Simplifying, we get the equation of the parallel line as y = (1/3)x + 2.

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So the variable w is less than 8 and greater than 0.

8>w>0

Answer:

yes

Step-by-step explanation:

In an isosceles triangle, one perpendicular bisector is also an angle bisector.

Answer:

she use altogether flour is [tex]1 \frac{3}{20}[/tex] lb

Step-by-step explanation:

given data

flour to bake a vanilla cake = [tex]\frac{2}{5}[/tex] lb

flour to bake a chocolate cake =  [tex]\frac{3}{4}[/tex] lb

to find out

How much flour did she use altogether

solution

we know here flour use to make cake

so total flour is used = add both flour for vanilla and chocolate cake

total flour is used =  [tex]\frac{2}{5}[/tex] +  [tex]\frac{3}{4}[/tex]

total flour is used =  [tex]\frac{23}{20}[/tex]

she use altogether flour is [tex]1 \frac{3}{20}[/tex] lb

Answer: [tex]\frac{23}{20}\ lb[/tex] or [tex]1\frac{3}{20}\ lb[/tex]

Step-by-step explanation:

For this exercise you need to add fractions.

To bake the vanilla cake, Penny used [tex]\frac{2}{5}\ lb[/tex] of flour and to bake the chocolate cake she used [tex]\frac{3}{4}\ lb[/tex] of flour.

Then, the total flour she used can be found by solving this addition:

[tex]\frac{2}{5}\ lb+\frac{3}{4}\ lb[/tex]

Since the denominators are different, you must find the Least Common Denominator (LCD).

Descompose the denominators into their prime factors and multipy the commons and non-commons with the highest exponent.

Then:

[tex]5=5\\\\4=2*2=2^2[/tex]

[tex]LCD=5*2^2=20[/tex]

So, the sum is:

[tex]\frac{2}{5}+\frac{3}{4}=\frac{4(2)+5(3)}{20}=\frac{23}{20}[/tex]

That improper fraction can be written as a mixed number.

When you divide the numerator 23 by the denominator 20 you get;

Then:

[tex]\frac{23}{20}\ lb=1\frac{3}{20}\ lb[/tex]

Answer:

there are 8 candles

Step-by-step explanation:

(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.  

Therefore to obtain a 1:1 ratio:

=30 candles/18 candle holders * (18/30)

Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders

(ii) Caroline can make = 30*18 = 540 table decorations  

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Answer:

81 c

Step-by-step explanation:

-170 - (-89)= 81

both of the negatives cancel out eachother and make it a positive

Answer:

The car traveled 740.52 miles

Step-by-step explanation:

The only thing you need to do in this problem is to multiply the hours by the rate (mph).

3.6 × 205.7 = 740.52

Answer:

[tex]\large\boxed{5.764764764...=\dfrac{5,759}{999}}[/tex]

Step-by-step explanation:

[tex]\text{Let}\\\\x=5.764764764...\qquad\text{multiply both sides by 1,000}\\\\1,000x=5,764.764764764...\qquad\text{make the difference}\ 1,000x-x:\\\\1,000x-x=5,764.764764764...-5.764764764...\qquad\text{cancel}\ (\overline{764})\\\\999x=5,759\qquad\text{divide both sides by 999}\\\\x=\dfrac{5,759}{999}[/tex]

Answer:

7.7142

Step-by-step explanation:

The solution to the number division 54 divided by 7 is: 7⁵/₇

Division is defined as a mathematical operation, that is written using the symbol ÷ , and the it can  be thought of in two ways: x÷y is the size of each group when x objects are divided into y groups of equal size, OR x÷y is the number of groups when a objects are divided into groups of b objects each.

We are given the expression 54 divided by 7

Thus, the number of times 54 can divide 9 in whole numbers in 7 times with a remainder of 5. Thus:

Solution = 7⁵/₇

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Answer:

39/50.

Step-by-step explanation:

0.78 = 78/100

= 39/50.

Answer:

39/50

Step-by-step explanation:

The original expression can be restated as follows:

0.78 = 0.70 + 0.08

Convert:

0.70 = 7/10

0.08 = 8/100

Add 7/10 + 8/100:

7/10 + 8/100

Find least common multiple, which is 100:

=(70+8)/100

=78/100

Now, simplify by dividing by 2 for both top and bottom:

39/50

Answer:3 5/12

Step-by-step explanation:

So we have here 1/2, 2/3 and 2 1/4. So let's ignore the 2 from 2 1/4. so we add them all up (1/2 + 2/3 + 1/4) but before we add them up we have to find the common denominator. So the common denominator for 2, 3 and 4 is 12. so the question will be 6/12 + 8/12 + 3/12. Add this up and it will be 17/12 = 1 5/12. Now let's get that 2 back here and add 2 to 1 5/12 (2 + 1 5/12) = 3 5/12

Answer:

324pie +18ft

1,035.36ft

Answer: 74.5 ft

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Since x = 2, we can tell that x is equal to 2.

So this is basically asking 7 times 2 plus 8

7(2) + 8 = ?

14 + 8 = 22

Hope this helps!

Step-by-step explanation:

you can divide every number by 1

if a number is even you can always divide it by 2

if the number ends in an odd number that isn't 5, you will most likely be able to divide it by 1, 3, or 9

if a number can be divided by 3, it can most likely be divisible by 6 if its an even number

if it ends in 5, you will be able to divide it by 5

if the number is over 10 and ends in a 0 it will be divisible by 10 and/or 5

I hope this helps

Answer:

10000 centimeters

Step-by-step explanation:

we know,

1 meter = 100 centimeters

∴ 100 meters = (100 x 100) centimeters

                      =10000 centimeters

Answer:

3/7

Step-by-step explanation:

The ratio is the number of red marbles and the number of blue marbles in a fraction, so the ratio would be 3/7

Answer:

Theres not enouh information to come to a conclusion

Step-by-step explanation:

Answer:

It's a rhombus (I think)

Step-by-step explanation:

It tells you "If a parallelogram has 4 congruent sides, then it is a rhombus."

It's also telling you that "the parallelogram has 4 congruents sides."

That's telling me it is a rhombus.

(I have absolutely no idea what the Law of Detatchment is, but it looks like this is the answer to me.)

The answer would be 65.7!

Answer:

Step-by-step explanation:

5 apples

5 bananas

2 bananas , 3 apples

2 apples and ,3 bananas  

4 bananas and 1 apple

4 apples and 1 bananas  

the sum of the  amount of fruit in the bowl will remain constant

Number of Apple Bill has =5 apple

Number of Banana Bill has =5 Banana

Number of fruits that , Bill can keep in his bowl =5 Pieces of fruit , which will be combination of both Apple and Banana or either 5 Banana or 5 Apple.

Different ways by which the two different type of fruit that bill can put in the bowl, if maximum number of fruit in the bowl =5

Banana                       Apple                           Total

    1                                   4                                    5

    2                                   3                                   5

    3                                   2                                    5

   4                                     1                                    5

  5                                      0                                    5

  4                                       1                                    5

  3                                       2                                    5

  2                                       3                                    5

  1                                       4                                     5

  0                                       5                                     5

In the table , there will be , (total number of fruits=5), which will be same in each row.