Use the formula P = 2l + 2w to find the length of a rectangle whose perimeter is 57 inches and whose width is 13 inches.


Answers

Answer 1
P = 2L + 2w
57 = 2L + 2(13)
57 = 2L + 26
-26       -26
31 = 2L
2      2
15.5 = L

Related Questions

41/18 as a mixed number

Answers

41/18 as a mixed number is 2 5/18

Solve for c.

3abc + b = 5


c = (5 - b)/(3ab)
c = -5/3ab
c = 2 - ab\
how does one work this out

Answers

The answer is c = (5 - b)/3ab

3abc + b = 5

Subtract b from both sides:
3abc + b - b = 5 - b
3abc = 5 - b

Divide both sides by 3ab:
3abc/3ab = (5 - b)/3ab
c = (5 - b)/3ab

making 10 pounds of Apple Jam requires five pounds of Apple how many pounds of Apple are needed to make eight pounds of apple jam

Answers

10lb. of jam needs 5lb. apple, or 2lb. of jam needs 1lb. apple. 
Now we want 8lb. of jam.
Set up a proportion:
2/1=8/x 
Solve for x by cross-multiplying.
2x=8 
x=4 lb. of apple

Find the missing angle measures. The diagram is not to scale

Answers

y is equal to 56
and x is equal to 114

Please help me? I'm almost certain it is only option A but I want a second opinion.
Aimee is comparing three investment accounts offering different rates.

Option A: APR of 7.79% compounding monthly

Option B: APR of 7.70% compounding quarterly

Option C: APR of 7.685% compounding daily


She would like to earn at least an 8% annual yield. Which account(s) will give Aimee the yield she wants?

Answers

Option c compounded daily means more interest

Answer: option A only

Step-by-step explanation:

what is 5√28 + √63 in simplest radical form

Answers

i hope this helps you

The simplest radical form of the expression 5√28 + √63 will be 29√7.

How do convert the exponent into the simplest radical form?

If the power of the variable "a" is b/c.

Then the simplest radical form of the expression will be

[tex]\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}[/tex]

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5√28 + √63

Simplify the expression, then we have

⇒ 5√28 + √63

⇒ 5√(4 x 7) + √(9 x 7)

⇒ 5 x 4√7 + 9√7

⇒ 20√7 + 9√7

⇒ 29√7

The simplest radical form of the expression 5√28 + √63 will be 29√7.

More about the simplest radical form link is given below.

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Which ratio forms a proportion with 14/42?
1/4
7/21
12/40
28/80

Answers

second one



7/21

Hope it helps

Answer: 7/12

Explaintion: Write at least 20 characters to explain it well.

Which answer describes the type of sequence? 3, 9, 15, 21, ...



geometric

arithmetic

neither arithmetic nor geometric

Answers

I am not 100% sure, but I think that it is arithmetic

Answer:

The sequence is arithmetic

Step-by-step explanation:

we know that

In an arithmetic sequence, the difference between consecutive terms is always the same and is called common difference

In this problem we have

[tex]3,9,15,21,...[/tex]

Let

[tex]a1=3, a2=9,a3=15,a4=21[/tex]

[tex]a4-a3=21-15=6[/tex]

[tex]a3-a2=15-9=6[/tex]

[tex]a2-a1=9-3=6[/tex]

The sequence is arithmetic

The common difference is equal to [tex]6[/tex]

Which situation shows a constant rate of change?

A. The height of a monkey swinging from branch to branch over time

B. The height of a bouncing ball over time

C. The number of points scored in a basketball game compared with the number of minutes played

D. The amount a person pays for gas compared with the number of gallons purchased

Answers

I believe the best answer choice is going to be D because if you think about it, when you buy gas both the price and gallonage go up. Hope this helps..

The correct answer is:

D) The amount a person pays for gas compared with the number of gallons purchased

Explanation:

A constant rate of change means that for every x, y increases the same amount.

In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid.  Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount.  This means it has a constant rate of change.

find where the slope of the curve is defined:
x^2y-xy^2=4

Answers

Final answer:

The slope of the curve x²y-xy²=4 is defined everywhere except for points where x = 2y. This conclusion is reached by using implicit differentiation and the product rule to find the derivative (slope), and then determining where the slope is undefined.

Explanation:

To find where the slope of the curve is defined for the equation x²y-xy²=4, we first need to find the derivative of the equation. The derivative will give us the slope of the tangent line at a specific point. This process involves using the Product Rule of differentiation. The Product Rule states that the derivative of two functions multiplied together is the first function times the derivative of the second function plus the second function times the derivative of the first function.

For the given equation, we first need to rewrite it in the form: y = f(x). However, as y cannot be easily expressed solely as a function of x in this case, we will need to use implicit differentiation. Implicit differentiation assumes that y is a function of x, even if it's not explicitly stated. By using the product rule, we get 2xy + x² × (dy/dx) - y² - 2xy × (dy/dx) = 0; simplifying this, we get (x² - 2xy) × (dy/dx) = y² - 2xy. So dy/dx = (y² - 2xy) / (x² - 2xy).

Thus, the slope of the curve is defined wherever the denominator, x² - 2xy, does not equal zero, since division by zero is undefined. Hence, we need to solve x² - 2xy ≠ 0. Solving this inequality, we find that the slope of the curve is defined for all (x,y) except where x = 2y.

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john is building a soccer table and wants it to be similar in size to a real soccer field. a full size soccer field is 336 feet long and 210 feet wide. what will be the area of his soccer table if he wants it to be 2.5 feet wide?

Answers

336/210 = x/ 2.5 ...
.
x = 4..

Answer:

[tex]10 ft^2[/tex]

Step-by-step explanation:

We are given that

Length of soccer field=336 feet

Width of soccer field=210 ft

Width of soccer table=2.5 feet

We have to find the area of soccer table which is similar to soccer field in size.

Let x be the length of soccer table.

We know that when two figures are similar then ratio of their corresponding sides are equal.

[tex]\frac{336}{x}=\frac{210}{2.5}[/tex]

[tex]x=\frac{336\times 2.5}{210}=4[/tex]

Length of soccer table=4 ft

Area of soccer table=[tex]length\times breadth[/tex]

Area of soccer table=[tex]4\times 2.5=10 ft^2[/tex]

Hence , the area of soccer table=[tex]10 ft^2[/tex]

Today you deposited $5000 into a savings account paying 12% interest. how much shouldyou have in 15 years

Answers

the answer is 24000.

solve 2x+3y=10 and 3x-4y=-2

Answers

The solution to the system of equations 2x + 3y = 10 and 3x - 4y = -2 is x = 2 and y = 2.

Given the system of equations in the question:

2x + 3y = 10

3x - 4y = -2

To determine the solution to the system of equations, we can use the elimination method:

2x + 3y = 10

3x - 4y = -2

Multiply the first equation by 4 and the second equation by 3:

We have:

8x + 12y = 40

9x - 12y = -6

Now, we add the two equations.

We have:

17x + 0 = 34

x = 34/17

x = 2

Now, plug x = 2 into the first equation and solve for y:

2x + 3y = 10

2(2) + 3y = 10

4 + 3y = 10

3y = 10 - 4

3y = 6

y = 6/3

y = 2

Therefore, the value of x is 2 and the value of y is 2.

A room has 3 lamps. From a collection of 12 light bulbs of which 5 are not working, Richard selects 3 at random and puts them in the sockets. What is the probability that he will have light? ...?

Answers

I calculated
(7∗6∗5)÷(12∗11∗10)=.159
or 15.9%
But that's for selecting 3 good bulbs. Do the same with two bulbs
(7∗6)÷(12∗11)=
or 31.8%
And with one bulb
7÷12=.583
or 58.3%So the answer seems to depend on the criteria for "having light", which is what makes it so confusing. Plus, we'd like to consider the probability of any of these conditions obtaining in any combination. The process yields errors if we keep trying to figure out how to choose a good bulb.
So let's turn the question on its head and ask what's the probability of no light?
( 12
  3  )=12!÷3!9!=20
then how many ways to choose 3 bad bulbs?
(12
   5 )=12!÷5!7!=792

Divide and subtract from one to get the probability of there being light. 1 - 20/792 = 97.5%

What is the minimum value of P = x - 2y over the feasibility region defined by the constraints shown?

a) 8
b) -2
c) -16
d) -14

Answers

To find the minimum value of P = x-2y first you need to find the coordinates of vertices (i.e. the corners).
After that plug each of those points into p = x -2y, to see which one gives the lowest number.

the answer is -14

hope this helps   : )

What is slope between the points (-5,7) and (4,-8)?

Answers

The slope can sometimes be called the gradient, and the equation for the gradient is (y2 - y1)/(x2 - x1). So therefore, you'd do: (-8 - 7)/(4 - -5) which is (-15)/9) which is -1 2/3 or -1.6 (recurring), which is your answer. I hope this helps! Let me know if I've confused you :)

A group of children, 6 to 10 years old, were asked how many video games they owned. The scatter plot shows the results.

What is the range of video games owned for the cluster?

Answers

So based on the given figure, we can conclude that the range of video games owned for the cluster is 8 to 10. So how did we know it is 8 to 10? The dots in the given figure are considered as the cluster. Based on this, we can see that the least number of games that are owned is 8 and the most number of games owned is 10, which makes that as our range. Hope this answer helps.

Answer:

8 to 10

Step-by-step explanation:

Transversal CD←→ cuts parallel lines PQ←→ and RS←→ at points X and Y, respectively. Points P and R lie on one side of CD←→, while Q and S lie on the other side. If
m∠PXY = 64.36°, what is m∠XYS?

Answers

When parallel lines are cut by a transversal, then alternate interior angles are congruent.
Angles PXY and XYS are alternate interior angles.
m∠XYS = m∠PXY
Answer:
m∠XYS = 64.36°

Answer: [tex]64.36^{\circ}[/tex]

Step-by-step explanation:

According to the question,

PQ ║ RS

And, PQ and RS are cut by the same transversal CD.

Then, By the alternative interior angle theorem,

The alternative interior angles made by the transversal CD on parallel lines PQ and RS must be congruent.

Thus, [tex]\angle PXY\cong \angle XYS[/tex]

⇒ [tex]m\angle PXY = m\angle XYS[/tex]  ( by the property of congruent angles )

Here  [tex]m\angle PXY = 64.36^{\circ}[/tex]  

⇒ [tex]m\angle XYS = 64.36^{\circ}[/tex]

What multiplication fact could you use to find a number that can be divided evenly by 8 and9?

Answers

8 times 9 = 72 is the answer cuz 72 divided by 8 = 9 and 72 divided by 9= 8

Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?

Quadratic formula: x =

Answers

well realistically this problem could be completed without use of quadratic equation:

-2 = -x + 2x - 4
+4       +4
2 = x

However, for quadratic equation, there needs to be 3 numbers:

ax^2+bx+c=0

Putting the equation in this form, we can say that

(0)x^2+(1)x+(-2)=0

Taking that and putting it into the quad formula makes:

x=(-1+-sqrt((1)^2-4(0)(-2)))/2(0)

That makes it a divide by 0 problem, making it unsolveable

Answer:

D on edge

Step-by-step explanation:

You are spreading fertilizer on a golf course at the rate of 40 pounds per 10000 square feet. If the course is 320 acres, how many tons of fertilizer will be needed?

Answers

If you are spreading fertilizer on a golf course at the rate of 40 pounds per 10,000 square feet and the course is 320 acres, you can calculate the amount of fertilizer that will be needed by converting acres to square feet. So, 320 acres are 13,939,200 square feet which means you will need 55,756.8 pounds of fertilizer. 

which decimal is equivalent to the fraction 9/11?

Answers

to find the decimal just divide the numerator by the denominator 
9/11 is .81

unicorns
Math Help! I NEED IT ASAP!!!! PLEASE!! WILL UPVOTE,LIKE PAGE,LIKE POSTS AND PICS!!
Sorry this took me forever to post, I had to do someting

_________________________________________________
5.What is each number in standard form?



Drag the answers into the boxes to match each number.
1.5.78×10−115.78×10−11
2.​ 5.078×10−65.078×10−6 ​
​3. 5.708×10−85.708×10−8 ​

Answer Choices:
A.​​0.000005078
B.​​0.0000000000578
C.0.000000578
D.​​0.0000000005078
E.​​0.00000005708
F.​​0.00000000005708
_________________________________________________

Answers

1. 5.78 x [tex]10^{-11} [/tex] = B) 0.0000000000578

2. 5.078 × [tex]10^{-6} [/tex] = A) 0.000005078

3. 5.708 × [tex]10^{-8} [/tex] = C) 0.0000000578

Which value of m will create a system of parallel lines with no solution?

y = mx – 6

8x – 4y = 12

Answers

First let's put both into equivalent forms by solving the second equation for y.
8x - 4y = 12
-4y = -8y + 12
y = 2y -3

We now have two equations:
y = mx - 6
y = 2x - 3

Recall that parallel lines have the same slope, and the slope is "m" for an equation in slope-intercept form y=mx+b.
The slope in y = 2x - 3 is 2, so for the equation y = mx -6 to be parallel, it must also have a slope of 2.
Therefore, m = 2.

The value of [tex]m[/tex] is [tex]2[/tex].

Given:

The given equations are:

[tex]y=mx-6[/tex]        ...(i)

[tex]8x-4y=12[/tex]         ...(ii)

To find:

The value of [tex]m[/tex] that will create a system of parallel lines with no solution.

Explanation:

The slope-intercept form of a line is:

[tex]y=mx+b[/tex]           ...(iii)

where, [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.

The slope of line (i) is [tex]m[/tex].

Equation (ii) can be rewritten as:

[tex]-4y=-8x+12[/tex]

[tex]y=\dfrac{-8x+12}{-4}[/tex]

[tex]y=2x-3[/tex]

The slope of this line is [tex]2[/tex].

We know that the slopes of parallel lines are equal. So, [tex]m=2[/tex].

Learn more:

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for a population of 800000 subway riders, the numbers of subway trips taken per rider last january are approximately normally distributed with a mean of 56 trips and a standard deviation of 13 trips. approximately how many of the riders took between 30 and 43 trips last january??? ...?

Answers

Final answer:

Calculating the number of subway riders who took between 30 and 43 trips involves finding z-scores for these trip numbers, looking up the corresponding probabilities in the normal distribution table, and multiplying the difference by the total population of riders.

Explanation:

The question relates to normal distribution and requires calculating the number of individuals in a given population that fall within a specific range of values. The population in question is 800,000 subway riders whose number of trips are normally distributed with a mean (μ) of 56 and a standard deviation (σ) of 13. The task is to find out how many riders took between 30 and 43 trips last January.

To solve this, we first find the z-scores for the values 30 and 43. The z-score is calculated by subtracting the mean from the value and dividing the result by the standard deviation. This will give:

Z for 30 = (30 - 56) / 13 = -2Z for 43 = (43 - 56) / 13 = -1

Next, we look up these z-scores in a standard normal distribution table to find the probabilities corresponding to these z-scores. The difference between these probabilities will give us the proportion of riders who took between 30 and 43 trips. Finally, we multiply this proportion by the total population of riders (800,000) to get the number of riders. Assume that the probabilities from the z-table are 0.0228 for z = -2 and 0.1587 for z = -1.

The calculation would be approximately:

Number of riders = 800,000 * (0.1587 - 0.0228) = 800,000 * 0.1359 = 108,720 riders

A number close to its actual value is a(n)

Answers

the answer to that question is estimate 

Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6.2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization?

Answers

R=ai/1-(1+I)^-n. ,,this is the equation ...can put them into the equation and you be ok

Answer:

Bianca need to pay $13.43 monthly to avoid interest capitalization.

Step-by-step explanation:

Principal value = $2600

Time = 10 years = 120 months

Interest rate = 6.2% = 0.062

Now, Find amount of payment by using the formula :

[tex]Payment = \frac{Rate\times Principal}{1-(1+rate)^{-time}}\\\\\implies Payment = \frac{0.062\times 2600}{1-(1+0.062)^{-120}}\\\\\implies Payment = \$ 161.32 [/tex]

Total payment is to be paid in 1 year :

[tex]\text{So, Monthly payment = }\frac{161.32}{12}=\$13.43[/tex]

Hence, Bianca need to pay $13.43 monthly to avoid interest capitalization.

solving system using subsitution
question
a shopper purchased 8 t-shirts and 5 pairs of pants for $220.The next day he purh pair of purchased 5 tshirts and 1 pair of pants for $112.How much does each tshirt and each pair of pants cost? ...?

Answers

Below is the solution:

8t + 5p = 220
5t + p = 112
 
From the second equation:
p = 112 - 5t
 
Replace into first:
8t + 5(112 - 5t) = 220
t = 20


 p = 112 - 5t = 112 - 100 = 12

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A recipe for oatmeal raisin cookies call for 1 2/3 cups of flour to make 4 dozen cookies. How many cups of flour are needed to make 6 dozen cookis?

Answers

It would take about 2 1/2 to make six dozens

Can someone help me?

In the circles shown, Line AC is congruent and equal to Line RT and Line AB is congruent and equal to Line RS. Which shaded region has a larger area?

Answers

both are equal because the distance from AB is equal to RS.
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