The perimeter of a rectangle is 120 meters and the length is 20 meters longer than the width. Find the dimensions of the rectangle. Let x = the length and y = the
2+2y = 12)
width. The corresponding modeling system is 2x + 2y =120 x-y = 20
Solve the system graphically

Answers

Answer 1

The dimension of the rectangle is 40meters by 20meters

What is the perimeter of a figure?

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle = 2(l+w)

If the length is 20 meters longer than the width, then;

l = 20 + w

Substitute

120 = 2(20+2w)

60 = 20 + 2w

30 = 10 + w

w = 20 meters

Since l = 20  + w

l = 20 + 20

l = 40 meters

Hence the dimension of the rectangle is 40meters by 20meters

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Related Questions

Classify the following triangle as acute, obtuse, or right.
A. Obtuse
B. Acute
C. Right
D. None of these

Answers

Answer: this is a acute triangle

Step-by-step explanation: acute triangle angles are all less than 90°

There are 5 cups of oatmeal in a container stella eats 1/3 of oatmeal every day for breakfast in how many days will stella finish all the oatmeal in the container

Answers

Answer:

15 days

Step-by-step explanation:

if she eats 1/3 cup of outmeal each day then in 3days she will have eaten 1 cup so to get to 2cups he will have to eat for 3 more days so it goes 3 days by 3 days this will be easy to do on a number line but you could also just multiplying the 3days times the 5 cups because thats how many cups you want to get to finish so it will be 15 the 15 days it took me time to understand ‍ hope this was helpful

The number of days is 15 days.

What is unit rate?

A rate is a ratio that compares two quantities of DIFFERENT. kinds of UNITS. A unit rate has a denominator of 1 unit when the rate is written as a fraction. To write a rate as a unit rate: divide the numerator and the denominator of the rate by the denominator.

here, we have,

to determine the number of days

From the question, we have the following parameters that can be used in our computation:

Size = 5 cups

Rate = 1/3 cup per day

The question illustrates unit rates

A unit rate is a rate in which the denominator of a ratio is 1 unit.

In other words, it is the amount of something per one unit of another thing.

Using the above as a guide, we have the following:

Number of days = 5/(1/3)

Evaluate the quotient

Number of days = 15/1 days

This gives

Number of days = 15 days

Hence, the number of days is 15

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1. Abe and Malik both stayed after school on
Wednesday to practice their instruments. Abe
practiced for 30 minutes. Malik practiced 10
minutes longer than Abe. Select all the ratios
that compare Abe's practice time to Malik's practice time

Answers

Answer:

Step-by-step explanation:

If Abe practiced 30 minutes,

Malik practiced 40 minutes.

It's 30:40 minutes;

3:4

Joan borrowed $5 a day to buy lunch. She now owes $65 dollars. How many days did Joan borrow $5? Use a picture to help explain your answer. Compare the picture to the numerical expression.

Answers

Joan borrowed 5$ for 13 days
65/5=13
i’m not if my “drawing works though”

Can some help me I will mark u brilliant

Answers

Answer:

The answer is C

Step-by-step explanation:

The formula of a circle is pie radius ^2. Its asking for the surface area. So I got C because you do pie 18^2 and gets you approximately 1017. Although A also says 18 as the radius, it says meters. After you solve a surface area problem you do square meters or square units. For volume you have to use   units cubed or units ^3. Make sure to always do this or your teacher might count you as wrong.

Answer:

Let's first try to find the radius before finding the diameter because when you find the radius, you double it to get the diameter.

To find the radius, use the area for a circle formula and plug in the values you know so far, so the formula is;

A = π[tex]r^{2}[/tex]

What we know:

1,017 is the area.

Plug that area in our equation:-

A = π[tex]r^{2}[/tex]

1,017 = 3.14[tex]r^{2}[/tex]

Solve for r;

÷3.14  ÷3.14

324(approximate) = [tex]r^{2}[/tex]

√324 = r

18 = r, the radius is around 18 square meters (do not mistake the unit for some other unit).

Therefore, your answer is C.Another alternative way;

Plug in your options' numbers into the equation;

A = π[tex]r^{2}[/tex]

And by looking at the options, we can see the only number here being used is 18, so we use 18 in the formula for the area of a circle to check if it'll result in 1,017 as the area.

Also: Notice if it says diameter or radius when using this solution, you are looking for the radius first.

are these lines parallel or perpendicular? 2y=-3x=5 and y=3/2-6

Answers

Answer:

perpendicular because they have a positive and negative slope meaning on a graph they would be crossing each other.

If the two spinners below are spun, what is the probability that the numbers will match? 1/4 1/6 1/12 1/3​

Answers

Answer:

1/4

Step-by-step explanation:

Probability of getting a number on Spinner 1 = 1/3Probability of getting a number on Spinner 2 = 1/4Sample Space = 12 entries

Sample Space

{(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)}Probability of getting the same number = 3/12 = 1/4

someone help me with my homework

Answers

Answer:

Cite evidence from the text to explain Her as role in Greek mythology

1. Mrs. Lee cut a pie into 6 pieces. She
gave each of her 4 children a
piece of pie.
If Mrs. Lee divided the entire pie equally
among her children, what fraction of
the remaining pieces of pie did
Mrs. Lee give each child?
A 14 piece of pie
į piece of pie
1
с
3
piece of pie
1
D à piece of pie
4
B

Answers

Answer:

She would have two leftover slices

Step-by-step explanation:

Answer:

She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.

On the basis of her newly developed technique, a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 90 weeks, with a standard deviation of 10 weeks. The scores are normally distributed. The results of the experiment show that patients treated by the student stay at the institution a mean duration of 84 weeks. What do you conclude about the student’s technique? Use α = .05. What are the 7 steps?

Answers

The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.

What is Significance Testing?

Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.

What are the seven steps involved in the above exercise are:

Two-Tailed (non-directional test)Alpha (α) = 0.05μ = 90σ = 10N = 20X = 84s = 10

Using ∝ = 0.05₂ tail, the conclusion is given as follows:

Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]

      = - 6/10/‭3.1622777

      = -6/‭3.1622777

      = -1.8973666

Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960

Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960

Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] |  Z[tex]_{crit}[/tex] = -1.960 |

It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.

Learn more about Significance Testing at:
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Which of the following rational functions is graphed below

Answers

Answer:

option B

Step-by-step explanation:

[tex]f(x) = \frac{x + 2}{x + 1} [/tex]

What is the area of this triangle ?

Answers

Answer:

8

Step-by-step explanation:

area of a triangle= b x h x 1/2 or b x h /2

the base is 4 and the height is 4

4x4/2

=16/2

=8

help me pls guys guys​

Answers

Answer:

1.TRUE

2.TRUE

3.TRUE

4.TRUE

5.TRUE

Step-by-step explanation:

THATS MY ANSWER ON MY MODULES

hope it helps as

Evaluate the expression 8-5xy3 for x=3 and y=-2.

Answers

Answer:

-54

Step-by-step explanation:

8-5xy3    x=3 y=-2

3xy3

3(3)(-2)3

9(-2)3

-18*3

-54

Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decoration. How many kilograms of pumpkins were not spoiled? Write an equation that shows how you reached your answer.

Answers

Answer:

6.7kg - 2.6kg = 4.1kg

Step-by-step explanation:

6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.

the vertex of this parabola is at (4, -3). when the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation?*sorry edited now

Answers

Answer:

- 3

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (4, - 3 ) , then

y = a(x - 4)² - 3

to find a substitute x = 5, y = - 6 into the equation

- 6 = a(5 - 4)² - 3 ( add 3 to both sides )

- 3 = a(1)² = a

y = - 3(x - 4)² - 3 ← expand factor using FOIL

y = - 3(x² - 8x + 16) - 3

  = - 3x² + 24x - 48 - 3

  = - 3x² - 24x - 51 ← in standard form

coefficient of the x² term is - 3

Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)​

Answers

Answer:

1200 more beats in 3 seconds or

400 more beats in 1 second

Step-by-step explanation:

A Mosquito beats its wings at a rate of 600 times per second.

A honey bee beats its wings at a rate of 200 times per second.

600 - 200 = 400

The mosquito beats 400 more times per second

400 X 3 = 1200

what is the value expression of the expression
2(x + 4) - (y•8)

when x=1/8 any y= 3/16

.A) 11/4

.B) 65/2

.C) 21/4

.D) 27/4

HELP ASAP ​

Answers

Answer:

D - 27/4

Step-by-step explanation:

2(1/8 + 4) - (3/16 × 8)

= 27/4

Solve the absolute value inequality 3x-1<8

Answers

Answer:

3

Step-by-step explanation:

3x - 1 < 8

Solve this inequality like a two-step equation.

Add 1 to both sides to cancel the -1.

3x - 1 < 8

3x < 9    Divide both sides by 3 to cancel the 3 in 3x.

x < 3

Find the absolute value (distance the number is from 0).

Absolute value = 3

I hope this helps and please mark me as brainliest!

How many positive integers are factors of 55^3 + 66^3?​

Answers

Answer:

10

Step-by-step explanation:

55³ + 66³ =

= (5 × 11)³ + (2 × 3 × 11)³

= 5³ × 11³ + 2³ × 3³ × 11³

= 11³(5³ + 2³ × 3³)

= 11³ × 341

= 11³ × 11 × 31

= 11^4 × 31

The factors are:

1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31

The factors are:

1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871

Answer: 10

how do you do Mean Absolute Deviation with 35 42,41,32,30?

Answers

Answer:

The numbers added up together is 180, and divide 180 by 5 is 36.

1,6,5,4,6=22.

22/5=4.4

Step-by-step explanation:

You can look it online but as quoted,

"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL

Lela bought 3.3 pounds of nuts they cost $1.79 a pound. How much money did she spend

Answers

Answer:

5.907

Step-by-step explanation:

I believe if you multiply 3 times 1.79 you get 5.37 then if you multiply 0.3 times 1.79 you get 0.537. If you combine the 2 you get 5.907. I think this is correct not sure though D:

A dog eats 4 pounds of food per day. Write and evaluate an expression to find how many pounds of food does 10 dogs eat in 7 days.

15 pts and Brainiest for clearest ans.

Pls answer as soon as possible, but answer correctly and not for the points and be clear!

If there's a Tutor, pls answer.

Answers

So one dog = 4 pounds of food

So if you have 10 dogs you would multiply 10 by 4 to give you 40 which is how much they eat in one day.

Second you multiply 40 by 7 to 280 which is the amount fed over seven days.

10 x 4 = 40
40 x 7 = 280


I hope this helps:)

how many thousand equal 700 ten

Answers

No thousands, just 70

Answer:

seven

Step-by-step explanation:

I WILL GIVE BRAINLYEST AND 60 POINTS. Please help me ASAP.
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q

Answers

Answer:

This may or may not help be it might get you close.  

What is sin 45°?
O
45°
VE
1
90°
45°
1
O
O A. /
O B. v
O C. 1
O D.
1
2

Answers

Answer:

A

Step-by-step explanation:

A

The value of sin 45° is,

⇒ sin 45° = 1/√2

We have to given that,

A triangle is shown in image.

We know that,

sin x = Opposite / Hypotenuse

Now, By given triangle,

sin 45° = 1/√2

Therefore, The value of sin 45° is,

⇒ sin 45° = 1/√2

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If f is a second-degree polynomial function such that f(3)=5, f'(3)=6, and f''(3)=4, what is the value of f(2) ?

Answers

so let's say the equation is y = ax² + bx + c, where a,b,c are constants.

we know that f(3) = 5, or namely when x = 3 , y = 5.

we also know that f'(3) = 6, or namely the slope at the point (3,5) is 6.

we also know that at (3,5) the 2nd derivative is 4, so a positive number simply tell us its concavity, is up, so is a parabola opening upwards.

[tex]y=ax^2+bx+c\implies \left. \cfrac{dy}{dx}=2ax+b \right|_{x=3}~~ = ~~ 6\implies 6=2ax+b \\\\\\ 6=2a(\stackrel{x}{3})+b\implies 6=6a+b\implies 6-6a=b\implies \boxed{6(1-a)=b} \\\\[-0.35em] ~\dotfill\\\\ \left. \cfrac{d^2y}{dx^2}=2a \right|_{x=3}~~ = ~~4\implies 2a=4\implies a=\cfrac{4}{2}\implies \boxed{a=2}~\hfill \boxed{-6=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]y=2x^2-6x+c\qquad \begin{cases} x=3\\ y = 5 \end{cases}\implies 5=2(3)^2-6(3)+c\implies \boxed{5=c} \\\\\\ y=2x^2-6x+5~\hfill y(2)=2(2)^2-6(2)+5\implies \blacktriangleright y(2)=1 \blacktriangleleft[/tex]

order to estimate the average time spent on the computer terminals per student at a university, data were collected for a sample of 81 business students over a one week period. Assume the population standard deviation is 1.8 hours. With a 0.95 probability, the margin of error is approximately a. 0.20 b. 0.39 c. 1.96 d. 1.64

Answers

Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:

b. 0.39.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

As for the other parameters, we have that [tex]\sigma = 1.8, n = 81[/tex].

Hence, the margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{1.8}{\sqrt{81}}[/tex]

[tex]M = 0.39[/tex]

Hence option b is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Please help me with this problem thank you!

Answers

Answer:

the awnser is or I'm 4th grade

Which of the following rational functions is graphed below?

Answers

Step-by-step explanation:

There is a vertical asymptote x=3 and x=-1 so our rational function will contain

(x-3)(x+1).

Since we have a horinzintal asymptote, our numerator will be either a constant function, or linear function.

we have a zero at approximately, at 1 so our numerator will include

[tex] \frac{x - 1}[/tex]

So our rational function is

[tex] \frac{x - 1}{(x - 3)(x + 1)} [/tex]

There is a vertical asymptote x=3 and x=-1 so our rational function will contain option C [tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex].

When do we get horizontal asymptote for a function?

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

Since we have a horizontal asymptote, our numerator will be either a constant function or a linear function.

We have given a zero at approximately, 1 so our numerator will include (x-1).

So our rational function is

[tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex]

Learn more about horizontal asymptotes here:

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