Find the cross-sectional area
​

Using the given information, the volume of the given rectangle is 6/125 cubic units

From the question, we are to determine the volume of the given rectangle.

From the given information,

The dimension of the rectangle is 1/5 by 2/5 by 3/5

To determine the volume of the rectangle, we will determine the product of the length of the sides of the rectangle.

That is,

Volume of the rectangle = 1/5 × 2/5 × 3/5

Volume of the rectangle = 1 ×2×3 / 5×5×5

Volume of the rectangle = 6/125

Hence, the volume is 6/125 cubic units

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Answer: 12

Step-by-step explanation: multiply it all together then divide it by the product.

30 cars of the delivery company use petrol.

According to the question,

We have the following information:

A delivery company has a total of 160 cars and vans.

The number of cars: the number of vans = 3:7

1/8 of the cars use electricity.

25% of the cars use diesel and rest use petrol.

Let's take the number of cars to be 3x and the number of vans to be 7x.

3x+7x = 160

10x = 160

x = 160/10

x = 16

Number of cars = 3*16

Number of cars = 48

Now, cars that use electricity:

1*48/8

6 cars

Cars that use diesel:

25*48/100

12 cars

Cars that use petrol:

Total number of cars-(number of cars that use electricity and diesel)

48-(6+12)

48-18

30 cars

Hence, 30 cars of the delivery company use petrol.

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[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \implies y -1= \cfrac{1}{2} (x +6) \\\\\\ y-1=\cfrac{1}{2}x+3\implies {\Large \begin{array}{llll} y=\cfrac{1}{2}x+4 \end{array}}[/tex]

The minimum sample size required for a 94% confidence interval with a margin of error of 0.007, using the z-distribution, is of:

18,033.

A confidence interval of proportions has the bounds obtained by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are presented and explained as follows:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence level is of 94%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.94}{2} = 0.97[/tex], so the critical value is z = 1.88.

We have no estimate of the population proportion, hence we consider [tex]\pi = 0.5[/tex], which is when the largest sample size is required.

The margin of error is of M = 0.007, hence the sample size required is obtained as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.007 = 1.88\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.007\sqrt{n} = 1.88 \times 0.5[/tex]

[tex]\sqrt{n} = \frac{1.88 \times 0.5}{0.007}[/tex]

[tex](\sqrt{n}) = \left(\frac{1.88 \times 0.5}{0.007}\right)^2[/tex]

n = 18,033.

The sample size was rounded up, as a sample size of 18,032 would result in a margin of error slightly above the desired 0.007.

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answer

Calculate the slopes of the 2 lines and compare them.

m = (y2 - y1)/(x2 - x1)

If they are equal, the lines are parallel. If one slope is the negative reciprocal of the other, the lines are perpendicular. If neither of these conditions are met, the lines are not parallel and are not perpendicular. You have all the information you need. Do the math.

Step-by-step explanation:

hope it helps

Answer:

25 pounds of hamburger meat

Step-by-step explanation:

you need 15 pounds for 60 hamburgers.

We can turn this into a fraction.

15/60

now we need to make the denominator a power of ten.

15/60

=5/20

=25/100

She needs 25 pounds of hamburger meat

Answer:

with what

Step-by-step explanation:

lol

where is the picture..................x1000000000000000000

Sydney's age is 43 years.

According to the question,

We have the following information:

Devaughn is 13 years older than Sydney. The sum of their ages is 99.

Let's take the age of Devaughn to be x years and the age of Sydney to be y years.

So, Devaughn's age can be expressed using the following expression:

y = 13+x years

Now, we have the following expression for the sum of their ages:

x+13+x = 99

2x+13 = 99

Moving 13 from the left hand side to right hand side will result in the change of the sign from plus to minus:

2x = 99-13

2x = 86

x = 86/2

x = 43 years

Hence, Sydney's age is 43 years.

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Answer:

x = 4

Step-by-step explanation:

8(x - [tex]\frac{5}{2}[/tex] ) = 3x ← distribute the parenthesis by 8

8x - 20 = 3x ( subtract 3x from both sides )

5x - 20 = 0 ( add 20 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

Answer:

395 = 790e^(k*78)

Step-by-step explanation:

Dividing by 790 and taking the natural log

ln ( 395/790 ) = ( kx78 )

-0.6931 = 78k

-0.00888 = k  

Now calculate how much is left after 18 hours:

Amount ( 18 )

= 790e^( -0.00888x18 )

Amount = 673.301 kg

She can see the horizon till 2.604 meters when the person is standing at a height of 5.76 meters above sea level.

Given that,

If a person can see d kilometers into the distance from her eye level, which is h meters above sea level, then d=3.57 √h. Let's say the person is standing at a height of 5.76 meters above sea level.

We have to find she can see the horizon, but how far.

The SI unit of length is the meter. In addition to meters, length can also be expressed in other units like centimeters, inches, feet, and yards.

So,

d=h

3.57 √h= 5.76 meters

Divide both sides by 3.57

√h= 5.76 meter/ 3.57

√h=1.614

Squaring on both sides.

h=2.604

Therefore, She can see the horizon till 2.604 meters when the person is standing at a height of 5.76 meters above sea level.

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Answer:

B. Subset

Step-by-step explanation:

A(n) subset is a member of a set

The number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

The payment of car washing per hour = $10

The payment for landscaping = $12

Total number of hours worked = 14  hours

Number of hours worked in car washing = x

Number of hours worked in landscaping = y

Then the first equation will be

x + y = 14

x = 14 - y

Total amount he earned = $152

Next equation will be

10x + 12y = 152
Here we have to use substitution method

10(14-y) + 12y = 152

140 - 10y +12y = 152

140 + 2y = 152

2y = 152 - 140

2y = 12

y = 12/2

y = 6 hours

Then

x = 14 - y

x = 14 -6

x = 8  hours

Hence, the number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

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Using Simple Interest formula ,

The rate percent on amount of Rs.300 is 5.5 .

At same rate, R = 5.5 the principle 800 will be Rs1120 in next 7 years .

In first case we have given that ,

principle = Rs.350

time = 4 years

Amount = Rs 1120

simple interest = 1120-350 = Rs.770

let rate of interest be R% .

Using the formul of simple interest

S.I = P×R×t /100

=> 770 = 350×4×R/100

=> R = 5.5 %

In Second case , rate of interest is same as in first case. So,

Amount = Rs. 1120

Principle = Rs. 800

rate of interest (R)= 5.5

Again simple interest formula Used:

Simple Interest = (P × R × T)/100

Simple interest = 1120 - 800 = Rs. 320

Simple Interest = (P × R × T)/100

⇒ 320 = 800×5.5 ×T/100

=> T = 7.27 ~ 7

∴ In the given principle Rs 800 with same rate of interest will be 1120 in 7 next years .

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The answer to the given question is true. A chart where the data is arranged in vertical columns is called Column Chart, and this chart is useful for showing data changes over time or illustrating comparisons among items.

What is column chart?

Column chart is a type of chart that compares different object levels over time using a vertical format. It is a chart in which the data is arranged in columns and this is useful for showing data changes over a period of time or for illustrating comparisons among items.

Data that is arranged in columns or rows on a worksheet can be plotted in a column chart. In column charts, categories are typically organized along the horizontal axis and values along the vertical axis. Column charts are useful to show how data changes over time or to show comparisons among items.

Column charts are not useful when there are a lot of categories. Catagories organized along the x-axis, while numbers or numerical values ligned in the y-axis.

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As per the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to

$422.92.

As given in the question,

Loan amount taken from the bank is equal to $35,000

Simple interest rate is 2%

Time period = 8 years

Total interest paid is equal to

= Loan amount × Interest rate × time period

= 35,000 × 2% × 8

= (35,000 × 2 × 8) / 100

= $5600

Total amount to be paid

= Loan amount + Interest amount

= $35,000 + $ 5,600

= $ 40,600

Monthly payment done based on given interest and time period

= $40,600 / ( 8 × 12 )

= $ 40,600 / 96

= $ 422.92

Therefore, for the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to $ 422.92.

The complete question is:

Attending the university of Houston main campus ,the bank agrees to give you a loan of $35,000 with 2% simple interest over 8 years. How much will your monthly payments be?

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Answer: B

Step-by-step explanation:

100/9

11.1

11 1/9

Step-by-step explanation:

190 = 5

? = 30

30 / 5 = 6

190 x 6 = 1140

Answer:

33, 34

Step-by-step explanation:

we must start solving this equation by letting a variable equal the smaller number

let n = smaller number

now the larger number is consecutive so you add one to n to get it

n + 1 is the bigger number

if you add them you get 67

n + n + 1 = 67

now solve

add like terms

2n + 1 = 67

subtract 1 from both sides

2n = 66

n = 33

the smaller number is 33

adding one to that will get you the larger integer

33 + 1 = 34

that is the larger integer

Answer:

58,5km/h

Step-by-step explanation:

Vyork-leeds=45km/h

Vleeds-blackpool=72km/h

(45+72):2=58,5km/h

Frequency of radiation with a wave length of 5.2 cm is 57.7x[tex]10^{8}[/tex]

The number of waves that pass a fixed point in unit time.

Given that, a frequency with a wave length of 5.2 cm

5.2 cm = 0.052 m

Frequency = f = c/λ

f = 3x[tex]10^{8}[/tex]/0.052 = 57.7x[tex]10^{8}[/tex] Hz

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Answer: n=-6

Step-by-step explanation:

1. Make your equation

n-5=-11

2. Solve for n by adding 5 to both sides

n=-6

Answer:

16

Step-by-step explanation:

1) Break down the question

We are told that the difference between a number a 5 is minus -11

As it is a minus we have to be careful we are using the correct operation required!

2) Figure out the number

As the difference is -11 we would need add 11 to 5 to get the final number

3) Check your answer makes sense

It is always best to double check your answer to make sure that your answer is 100% correct!

To do this we just have to work out way backwards.

As we can see we have to minus 11 from 16 to get to 5 meaning our answer is correct and the number is 16!!!

Hope this helps, have a great day!

The person at the 300th number will get a t-shirt and a gift card both.

Given, at the grand opening of a sporting goods store, the store is giving a free shirt to every 12th person who attends.

They give a $25 gift card to every 30th person.

We have to find that which person will get both a t-shirt and a gift card.

To find the person who will get both, we have to find the LCM of 12 and 25.

As, the LCM of 12 and 25 is 300

So, the person at the 300th number will get a t-shirt and a gift card both.

Hence, the person at the 300th number will get a t-shirt and a gift card both.

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The expression to find how many more customers visited the store on the first day is 5x - 2.

It's important to note that an expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Since the number of customers in a store on the first day is represented by (6x-3) and the number of customers on the second day is represented by (x-1).

The number of more customers will be:

= Customers on first day - Customers on second day

= 6x - 3 - (x - 1)

= 6x - 3 - x + 1

= 5x - 2

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The greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.

Given:

A rectangle with integer side length has perimeter 10.

If the perimeter of rectangle 2(l+b) = 10

l+b = 10/2

l+b = 5.

Two choices:

1. 2 * 3 rectangle of area 6

2. 1 * 4 rectangle of area 4

The piece of paper has area 24×60 = 1440

This can be divided into rectangles with sides 2×3:

= 24/2 * 60/3

= 12*20

= 240

It can be divided into rectangles with sides 1×4:

= 24/1 * 60/4

= 24*15

= 360

Therefore the greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.

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the 30% increase is 1,500 comments made on the website.

A music video website received 5,000 comments on a new song they released.

The next day, the artist performed the song on television and an additional 1,500 comments were made on the website.

As we know,

The percentage increase = [(increase value)/(old value)]x100

Divide the increase by the beginning number and multiply by 100 to determine the percentage increase between two numbers:

Increase value = 1500

old value =5000

Percent of increase = (1500/5000)x100

Percent of increase = 0.3x100

Percent of increase = 30%

30% if the next day, the artist performed.

In mathematics, a percentage is various or a ratio expressed as a fragment of one hundred. it is often denoted the use of the percent sign, "%", despite the fact that the abbreviations "pct.", "pct" and sometimes "laptop" is also used. A percent is a dimensionless wide variety; it has no unit of measurement. The calculation of chances is done and taught in special approaches relying on the stipulations and necessities. in this manner, the same old formulas can be acquired with proportions, which saves them from having to remember them. In so-referred to as intellectual arithmetic.

This unfastened percent calculator computes some of the values related to possibilities, consisting of the sharp distinction between two given values. percentages are essentially fractions where the denominator is 100. to reveal that a number is a percentage, we use the percent image (%) besides the range. as instance, if you purchased seventy-five questions proper out of a hundred on a check (seventy-five/100), you would have scored 75%.

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The distance is 252 inches.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

Given

the length of shoes = 12 inch

The distance is equal to length of 21 of the shoes.

The total distance = 12×21

=252 inch

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