Mathematics College

The perimeter of the parallelogram below is 32.2. What equation would you set up to solve for x? What is the value of x?

Answers

Answer 1

The value of x from the given figure is 8/3

Perimeter of a parallelogram

The sum of all the ides of the parallelogram is perimeter. According to the given figure;

2(3x-8)+2(16) = 32.2

Expand to have:

6x-16 + 32 = 32.2

6x + 16 = 32.2

Subtract 16 from both sides

6x = 16

x = 16/6

x = 8/3

Hence the value of x from the given figure is 8/3

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The Perimeter Of The Parallelogram Below Is 32.2. What Equation Would You Set Up To Solve For X? What

Related Questions

Jane decided that she would spend the rest of her money on taffy about how many pounds of taffy did jade purchase

Answers

you forgot to add the units.

Parker has a credit card that has an APR of 21.99%. If Parker’s average daily balance for the month is $742, what is the finance charge? If Parker’s balance at the end of the month is $920, what will the new balance be after including the finance charge?

Answers

The finance charge is $13.60, whereas the new balance at the end of the month is $933.60

What is the finance charge on the credit card balance?

The finance charge which is the monthly interest payable on the credit card balance is based on the average daily balance for the month, it is determined as the average daily balance for the month multiplied by the annual percentage rate(APR) divided by 12 , since the requirement is to compute one month finance charge and not for a whole year

finance charge=$742*21.99%/12

finance charge=$13.60

The new balance is the balance at the end of the month plus the finance charge

new balance=$$920+$13.60

new balance=$933.60

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Answer:

13.60

933.60

Step-by-step explanation:

To determine the finance charge, use the formula:

FinanceCharge=APR12×AverageDailyBalance

Substitute 21.99% for the APR, and $742 for the average daily balance, and calculate:

FinanceCharge=0.219912×$742=$13.60

So, the finance charge will be $13.60

Next, determine the new balance by adding the finance charge to the balance at the end of the month:

$920+$13.60=$933.60

The new balance will be $933.60

At the movie theatre, child admission is $5.80 and adult admission is $9.30 . On Wednesday, 122 tickets were sold for a total sales of $893.10 . How many child tickets were sold that day?

Answers

The number of child ticket sold on that day is 69.

How to find the number of ticket sold using variables?

At the movie theatre, child admission is $5.80 and adult admission is $9.30 . On Wednesday, 122 tickets were sold for a total sales of $893.10 .

Therefore,

let use variables to represents the number of child and adult tickets sold.

let

variable x = number of child ticket sold

variable y = number of adult tickets sold

Therefore,

5.80x + 9.30y = 893.10

x + y = 122

multiply equation(ii) by 5.80

5.80x + 9.30y = 893.10

5.80x + 5.80y = 707.6

3.5y = 185.5

y = 185.5 / 3.5

y = 53

Therefore,

x = 122 - 53

x = 69

Hence, the number of child ticket sold on that day is 69.

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Question
Divide: (y^3-1) (y+4)

Answers

Answer:

y^2 - 4y + 16 - 65/y + 4

no need for the top part just the bottom

Answers

Answer:

2a.The difference is that question 1b has been ordered by PEDMAS

2b. The fact that Add(A) comes before Subtract(S).

2c. The order of the subjects in Bidmas.

Step-by-step explanation:

If you bought 12 cookies (each cookie for 0.99) how much more would each cookie cost than if you bought them by the dozen? ( A dozen pack is for 6.55)

Answers

The required cost of each cookie become when buying in dozen is $0.54.

Given that,
Bought 12 cookies (each cookie for 0.99).
A dozen pack is for 6.55.
how much more would each cookie cost if bought by the dozen is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
In a dozen cookies, there are 12 cookies
Now cost of a dozen cookies = 6.55
Now 12 cookies = $6.55
1 cookie = 6.55 / 12
cost of 1 cookie = $0.54

Thus, the required cost of each cookie become when buying in dozen is $0.54.

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For the word problems below, you MUST show work to earn full credit
(a.) Hailey's plane took 90 seconds to climb 4,500 feet.

(i)What is the speed of her plane in feet per
second?

(ii) How high was the plane at 35 seconds?

Answers

The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

i. The speed of Hailey’s plane is 50 feet per second.

As Hailey’s plane took 90 seconds to climb 4,500 feet,

X= 4,500 ÷ 90

X= 50 feet per second.

ii. The plane was at 1750 feet at 35 seconds.

As the plane climb 50 feet per second,

X= 50 * 35

X= 1750 feet.

Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.

Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

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The speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

i. The speed of Hailey’s plane is 50 feet per second.

As Hailey’s plane took 90 seconds to climb 4,500 feet,

X= 4,500 ÷ 90

X= 50 feet per second.

ii. The plane was at 1750 feet at 35 seconds.

As the plane climb 50 feet per second,

X= 50 * 35

X= 1750 feet.

Jetliners typically fly between 240 and 285 km/h during take-off (130–154 km; 149–177 mph). Light aircraft, such a Cessna 150, accelerate to about 100 km/h after take-off (54 km; 62 mph). Even slower take-off speeds apply to ultra-lights.

Hence, the speed of her plane in feet per second is 50 feet per second and the plane high was 1750 feet.

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Please solve this help me

Answers

Answer:

does that help?

How much pure acid should be mixed with 5 gallons of a 70% acid solution in order to get a 90% solution?

Answers

Answer:

You will need 10 gallons of pure acid to mix with 5 gallons of a 70% acid solution to get a 90% solution.

Step-by-step explanation:

.70(5) + x = .90(x + 5) I want to multiply both sides by 100 to clear the decimal

70(5) + 100x = 90(x + 5) Distribute the 70 and the 90

350 + 100x = 90x + 450 Subtract 90x from both sides

350 + 10x = 450 Subtract 350 from both sides

10x = 100 Divide both sides by 10

x = 10

which of the following is a flat surface that extends infinitely, has length and width but does not have depth

Answer:Plane
reason:i took the test and passed

Answers

A plane is a flat surface that has length and width but no depth and can extend indefinitely.

In two dimensions, a plane has no limits. It has no thickness at all. A coordinate plane is an illustration of a plane. In the coordinate plane, a type of geometric plane, we plot points. A number line that runs up and down forever and one that runs from left to right indefinitely both exist on the coordinate plane. There are many different kinds of planes, including intersecting and parallel ones. In cursive writing, the upper case letter P stands for a plane.

What kinds of planar geometry are there?

Flat forms are also known as plane geometric figures, which include 2-dimensional shapes including squares, rectangles, triangles, and circles. Contrarily, 3-dimensional geometric forms such a cone, cube, cuboid, cylinder, etc. are used in solid geometry.

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Answer: freee points?

Step-by-step explanation: You gave the answer to your own question.

Find the x-intercept and y-intercept from the graph below.

Answers

Answer: ur answer is the 3rd option

Step-by-step explanation:

get smart :)

Answer: the answer is c

Step-by-step explanation: i did it

Write an equation to represent the real world problem below.

The area of a rectangle measures 9/14 ft^2. It has a length of 3/7 of a foot and a width of 1 1/2 feet.

Answers

The equation which represents the real world problem involving a rectangle as described in the task content is; 9/14 = 3/7 × 3/2.

What is the equation which represents the real world problem as given in the task content?

It follows from the task content that the equation which represents the real world problem involving a rectangle be determined.

It follows from plane shape measures that the area of a rectangle is;

Area = length × width.

Hence, from the parameters given; we have;

Area = 3/7 × 1 1/2

Area = 3/7 × 3/2

Ultimately, the model according to the given parameters which hold true is;

9/14 = 3/7 × 3/2.

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A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches long, how tall is the streetlight?

Answers

The required height of the streetlight is 11.5 feet.

Given that,
A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches long, how tall is the streetlight is to be determined.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Let the
13 feet = 13 * 12 inch = 156 inches
Ratios of height and distance would be equal
54 / 96 = x / 96 + 156
54 * 252/96 = x
x = 138 inches
x = 11.5 feets

Thus, the required height of the streetlight is 11.5 feet.

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Which expression is equivalent to

A:4x
B:4x+4
C:x^2+7x+10
D:-x^2-5x-6

Answers

The expression equivalent to [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex] is option (A) 4x.

As per the question statement, we are given with an expression [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex].

We are required to simplify the above mentioned expression.

To solve this question, let us simplify the expression, part by part.

First, We are considering the part (x² + 6x + 8), which can be rewritten as

[tex][( (x^{2} + 6x + 9) - 1][/tex]...(1)

Now, [tex](x^{2} +6x +9)=[(x)^{2} +(2*x*3)+(3)^{2}][/tex]...(2)

Comparing [tex][(x)^{2} +(2*x*3)+(3)^{2}][/tex] with the standard form of

[(a + b)² = (a² + 2ab + b²)], we get, (a = x) and (b = 3).

Therefore, [tex][(x^{2} +6x +9)=(x+3)^{2}][/tex], then,

[tex][( (x^{2} + 6x + 9) - 1] = [(x+3)^{2} -1]\\or, (x^{2} + 6x + 8)=[(x+3)^{2}-(1)^{2}][/tex]...(3)

Again, comparing [tex][(x+3)^{2}-(1)^{2}][/tex] with the standard expansion of

[(c²- d²) = (c + d)(c -d)], we get, [(x + 30 = c] and (d = 1).

Therefore, [tex][(x+3)^{2}-(1)^{2}]=[(x+3+1)(x+3-1)][/tex]

[tex]or, (x^{2} + 6x + 8) = (x+4)(x+2)[/tex].

Using the simplified value of (x² + 6x + 8) in the expression [tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})][/tex], we get,

[tex](x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[4x-\frac{(x+4)(x+2)}{(x+4)} ]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[4x-(x+2)]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+[(4x-x)-2]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=(x+2)+(3x-2)\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=[(x+3x)+(2-2)]\\or, (x+2)+[4x-(\frac{x^{2}+6x+8 }{x+4})]=4x[/tex]

Expression: Mathematical statements, that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between are known as expressions

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Which three lengths CANNOT be the lengths of the sides of a triangle?
13 m, 13 m, 12 m
5 m, 10 m, 6 m
24 m, 16 m, 11 m
20 m, 6m, 9 m

Answers

answer: 20m, 6m, 9m

explanation:

the two shortest sides of the triangle need to add up to equal more than the longest side. to find this we can test all the answers:

13, 13, 12: 13+12 = 25 25 > 13 (works)

5, 10, 6: 5+6 = 11 11 > 10 (works)

24, 16, 11: 16+11 = 27 27 > 24 (works)

20, 6, 9: 6+9 = 15 20 > 15 (doesn’t work)

so the answer is the last one.

hope this helped! :)

A storeowner orders 25 calculators that cost $30 each. The storeowner can sell each calculator for $39. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?

Answers

Hence , the store owner's profit will be $ 102 .

In general, the profit is outlined because the quantity gained by merchandising a product, that ought to be over worth} price of the merchandise. it's the gain quantity from any reasonably enterprise. In short, if the (SP) of the merchandise is over the value price (CP) of a product, then it's thought of as a gain or profit. It describes the monetary profit obtained if the revenue from the enterprise exceeds the taxes, expenses, and so on, that square measure concerned in sustaining business activities.

It is providing a store owner orders twenty five calculators that price $30 every.

Original cost = number of calculators × cost per calculator

= 25 × 30

= $ 750

Sales revenue = 22 × 39

= $ 858

Return loss = 3 × 2

= $ 6

Profit = Sales revenue - ( Original cost + Return loss )

= 858 - ( 750 + 6 )

= 858 - 756

= $ 102

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Write the base-ten number for 29

Answers

The base-ten number for the number 29 is 29

How to determine the base-ten number?

The number is given as

The base of the above number is not stated

When the base of a number is not stated, then the base of the number is base 10

This means that the number 29 is in base ten

Hence, the base-ten number for the number 29 is 29

Answers

Answer:

I would say 144

Step-by-step explanation:

I say 144 Because 3 to the square root of 16 is 12

And twelve to the second power is 2

Simpliy. 24v^4/54v^6 PLease help me

Answers

Answer:

0.00001338081

Step-by-step explanation:

24v^4=33176v

54v^6=24794911296

33176v/24794911296v

The two v's cancel out so you have:

331776/24794911296

331776/24794911296=0.00001338081

So, your answer is 0.00001338081.

25% of 32

Thank you very much if you decide to help

Answers

The answer to your question is eight

25% of 32 is 8.

25% as a fraction of a base denominator of 100 can be represented as 1/4.

The keyword “of” typically stands for multiplication. With this in mind, we can multiply the two given numbers to find our result. This would look like:

1/4 • 32 = 32/4

32 / 4 = 8

Therefore, 25% of 32 gives us 8.

¿Cuánto recorre aproximadamente una rueda que da 60 vueltas si ésta tiene un radio de 0.20 m?
O 75m
O 38m
O 24m
O 1.3m

Answers

La rueda recorre una distancia de 75.420 metros tras 60 vueltas. (Correct choice: A)

Cuánta distancia recorre una rueda que da 60 vueltas?

La rueda se desplaza sobre el suelo mediante un tipo de movimiento conocido como rodadura, en la que la rueda experimenta rotación y traslación, cuyo centro instantáneo de rotación es el punto de contacto entre la rueda y el suelo.

Si no existe deslizamiento de la rueda con respecto al suelo, entonces la distancia recorrida tras una revolución de la rueda (s), en metros, es descrita por la siguiente ecuación:

s = 2π · r (1)

Donde r es el radio de la rueda, en metros.

Si tenemos que r = 0.20 m, entonces la distancia recorrida es:

s = 2π · (0.20 m)

s ≈ 1.257 m

Asimismo, la distancia recorrida es directamente proporcional al número de revoluciones de la rueda es y la distancia recorrida tras 60 vueltas es determinada por regla de tres simple:

S = 60 vueltas × (1.257 m / 1 vuelta)

S = 75.420 metros

La rueda recorre una distancia de 75.420 metros tras 60 vueltas.

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663 divided by 51 step by step

Answers

Answer:13

Step-by-step explanation:51 goes into 66 one time so 66-51=15

then 153/51=3 so 13

Step-by-step explanation:

51 goes into 66 one time so 66-51= 15 then 153/51 = 3 so 13

Write equivalent fractions for 11/12 and 17/18
using the least common denominator.

Type the fractions, using a slash ( / ) to separate the numerator and denominator.

Answers

The equivalent fraction for [tex]\frac{11}{12}[/tex] and [tex]\frac{17}{18}[/tex] is [tex]\frac{22}{24}[/tex] and [tex]\frac{34}{36}[/tex] respectively.

What is an equivalent fraction?

There are two or more fractions that are equivalent even if their numerators and denominators are different. For instance, 1/2 is the same as (or equal to) 25/50 or 500/1000. Every time, the fraction is written as "one half" in its simplest form.

The equivalent fraction for [tex]\frac{11}{12}[/tex] is -

[tex]\frac{11}{12}[/tex] × [tex]\frac{2}{2}[/tex] =[tex]\frac{22}{24}[/tex]

The equivalent fraction for 17/18 is -

[tex]\frac{17}{18}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{34}{36}[/tex]

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can someone explain this problem step by step

Answers

step 1: set your equations equal to DEF which is 76 (2x + 12 + 5x - 6 = 76)
step 2: find the x value by simplifying (x = 10)
step 3: find DEG by plugging in x (2(10) + 12 = 32)
step 4: find GEF by plugging in x (5(10) - 6 = 44)
Answer: mDEG = 32 and mGEF = 44

pls answer just alittle bit helps alot

Answers

A’ = {2,4,6}
B’={1,3}
C’={3,5}
A’ n B’={null}
A’u B’ ={1,2,3,4,6}
A’u B={2,4,5,6}
A u B’ ={1,3,5}
A n B’ ={1,3}
(A n C)’ = {null}
(A u B)’ = {null}

Not too sure but that should be correct

The accountant for Jean’s Dress Shop prepared the following cash budget. Jean’s desires to maintain a cash cushion of $10,000 at the end of each month. Funds are assumed to be borrowed and repaid on the last day of each month. Interest is charged at the rate of 1 percent per month.

Answers

The completion of Jean's Dress Shop's cash budgets for the following months is as follows:

Cash Budget July August September

Section 1: Cash receipts

Beginning cash balance $25,000 $10,000 $10,000

Add cash receipts 90,000 100,000 120,300

Total cash available $115,000 $110,000 $130,300

Section 2: Cash payments

For inventory purchases $82,750 $70,115 $87,076

For S&A expenses 27,250 30,280 30,716

For interest expense 0 50 54.45

Total budgeted disbursements $110,000 $100,445 $117,846.45

Section 3: Financing activities

Surplus (shortage) $5,000 $9,555 $12,453.55

Borrowing (repayments) 5,000 455 ($2,453.55)

Ending cash balance $10,000 $10,000 $10,000

What is the Cash Budget?

The Cash Budget is an estimate of an entity's cash flows (cash outflows and cash inflows) over a specific period.

The Cash Budget can be prepared monthly, quarterly, semi-annually, or yearly.

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Question Completion:

Complete the cash budget by filling in the missing amounts.

Cash Budget July August September

Section 1: Cash receipts

Beginning cash balance $25,000

Add cash receipts 90,000 100,000 120,300

Total cash available $115,000 $

Section 2: Cash payments

For inventory purchases $82,750 $70,115 $87,076

For S&A expenses 27,250 30,280 30,716

For interest expense 0

Total budgeted disbursements $110,000

Section 3: Financing activities

Surplus (shortage) $5,000

Borrowing (repayments) 5,000

Ending cash balance $10,000 $10,000 $10,000

What’s the circle equation for this ? Calculus

Answers

Greetings from Brasil...

The expression that allows using the equation of a circle is:

(X - Xc)² + (Y - Yc)² = R²

Xc = - 4, Yc = 4 and R = 4, then

(X + 4)² + (Y - 4)² = 16

X² + 8X + Y² - 8Y + 16 = 0

How much interest would y dollars earn in one day at a rate of 1.75% compounded daily?

Answers

The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let I represent the total interest gotten from investing y dollars. Since y dollars is invested at a rate of 1.75% compounded daily, hence:

Interest = y * 0.0175 = 0.0175

The interest that y dollars earn in one day at a rate of 1.75% compounded daily is 0.0175

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Find the actual width of a building if the model of the building is 7 cm wide by 58.7 cm long and the actual length of the building is 140.9

Answers

Answer:

16.8

Step-by-step explanation:

Set up a proportion.

w = width and l = length

I would put the length and the width of the model in the first fraction and the length of the actual building on the right.

[tex]\frac{w}{l}[/tex] =[tex]\frac{w}{l}[/tex]

[tex]\frac{7}{58.7}[/tex] = [tex]\frac{w}{140.9}[/tex] Multiply both sides of the equation by 58.7 and 140.9 and you get:

140.9(7) = 58.7x

986.3 = 58.7x Divide both sides by 58.7

16.8023850085 = x I will round to the nearest tenths' place

16.8

What is the point-slope form of the line with slope

2
5
that passes through the point
-
4
,

-
7
?

Answers

The equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)

How to determine what equation, in point-slope form, matches the graphed line?

The point on the line is given as

Point = (4, -7)

The slope (m) of the line is given as

m = 2/5

The linear equation is then represented as

y - y1 = m(x - x1)

So, we have

y + 7= 2/5(x - 4)

Hence, the equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)