A rectangle with a perimeter of 78 millimeters has a length and width in a ratio of 9:4. What are the length and width?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the length be 9x, then the width is 4x

perimeter = 2(9x + 4x) = 2(13x) = 26x = 78, so x = 78/26 = 3

So

the length = 9x = 9(3) = 27 mm

the width = 4x = 4*3 = 12 mm.


Related Questions

please help me ☹️ ..​

Answers

Answer:

The answer should be A.) (0,2) and D.) (3,0)

Step-by-step explanation:

Hope i helped.

A brainliest is always appreciated.


What division problem has a 1-digit divisor and 2-digit dividend and the largest possible quotient

Answers

Answer:

99/1=99

Step-by-step explanation:

The largest possible quotient that has a 1-digit divisor and 2-digit dividend will be 99.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

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

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The smallest one-digit number is 1 and the largest two digits number is 99. Then the largest possible quotient will be given as,

⇒ 99 / 1

⇒ 99

The largest possible quotient that has a 1-digit divisor and 2-digit dividend will be 99.

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Find the missing term represented by n:

2(7 + 9) = 2(7) + 2 (n).
2
7
9
18

Answers

i could be incorrect, but i believe its 9:)))

In the table, Carmen recorded the lengths of embroidery thread (y) she needs to make bracelets of length (x).

Which equation best represents this relationship?

Answers

The equation that best represents this relationship is y = 8x

Equation of linear function

The standard linear equation is expressed as y = mx + b

writing the given information in a coordinate form (x, y) will give (18, 144) and (22, 176)

Determine the slope "m"

Slope = 176-144/22-18
Slope = 32/4
Slope = 8

Detremine the y-intercept

144 = 8(18) + b

b = 144 - 144
b = 0
Hence the equation that best represents this relationship is y = 8x

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Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B = the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky’s proportion of poses held for over a minute is greater than Carla’s?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For each sample, we have that:

[tex]p_B = 0.29, s_B = \sqrt{\frac{0.29(0.71)}{50}} = 0.046[/tex]

[tex]p_C = 0.35, s_C = \sqrt{\frac{0.35(0.65)}{50}} = 0.057[/tex]

For the distribution of the difference of the proportions of Becky and Carla, we have that:

[tex]\mu = p_B - p_C = 0.29 - 0.35 = 0.06[/tex]

[tex]s = \sqrt{s_B^2 + s_C^2} = \sqrt{0.046^2 + 0.057^2} = 0.073[/tex]

The probability that Becky’s proportion of poses held for over a minute is greater than Carla’s is the probability that the subtraction is above 0, that is, 1 subtracted by the p-value of Z when X = 0, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0 + 0.06}{0.073}[/tex]

[tex]Z = 0.82[/tex]

[tex]Z = 0.82[/tex] has a p-value of 0.7967.

1 - 0.7967 = 0.2033.

0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.

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The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population. Assume the variable is normally distributed.

Answers

Answer:

1963.2 pounds (lbs.)

Step-by-step explanation:

Things to understand before solving:

- Normal Probability DistributionThe z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by: [tex]Z=\frac{X-u}{a}[/tex]

The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.

- Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц  and standard deviation [tex]s=\frac{a}{\sqrt{n} }[/tex]

As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.

This means, ц  = 2000 and б = 100.

A random sample of 20 cables is chosen and tested.

This means that n = 20, [tex]s=\frac{100}{\sqrt{120} } =22.361[/tex]

Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.

This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So [tex]Z=\frac{X-u}{a}[/tex]

By the Central Limit Theorem

[tex]Z=\frac{X-u}{a} \\-1.645=\frac{X-2000}{22.361} \\X-2000=-1.645*22.361[/tex]

[tex]X =1963.2[/tex]

Answer:

The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.

simplify the following ratio R5,75:25cents​

Answers

Answer:

3:1

Step-by-step explanation:

75:25

(25×3):(25×1)

=3:1

( would love if you could mark me the brainliest :))

The ratio after simplify the provided ratio R, 75:25 cents, which is equivalent ratio of this ratio is 3:1.

What is a ratio of two numbers?

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

When we simplify and write ratio of two number, we get the equivalent ratio of the original ratio.

The equivalent ratio is the ratio which is same in the value as the original ratio, but the numerator and denominator is different for both the ratios.

Here, the given ratio in the problem is 75:25 cents​. It can be written as,

[tex]R_5=\dfrac{75}{25}\\[/tex]

As, the number 25 can divide the number 75 in three times. Thus, the ratio will become after simplifying the given ratio as,

[tex]R_5=\dfrac{3}{1}\\[/tex]

Hence, the ratio after simplify the provided ratio R, 75:25 cents, which is equivalent ratio of this ratio is 3:1.

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The table shows how many miles Jack ran per week for weeks one through nine.Question:a. Use the table to plot the points.b. Describe the correlation, including whether it is strong or weak.c. Draw a line of best fit.d. Write the equation of a line of best fit in slope-intercept form.e. Using the line of best fit, estimate how may miles Jack ran the 10th week; show work.f. During which week would you expect Jack to run a full marathon, 26.3 miles? Do you think that you should round up or down to the nearest week? Why?

Answers

Answer:can you show a picture of it??

Step-by-step explanation:

A school survey found that 9 out of 10 students like pizza. If three students are chosen at random with replacment what is the probability that all three student like pizza?

Answers

Answer:

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events (9/10).

0.729

what is x' value when 5x=15?

Answers

Answer:

x = 3

Step-by-step explanation:

=> 5x=15

=> x = 15/5

=> x = 3

Answer:

x=3

Step-by-step explanation:

Divide each term in 5x=15 by 5 and simplify.

∴ x=3

Thanks!

Answered by: FieryAnswererGT

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The sum of ∠X and ∠Y is 90°. Which statement is TRUE?

∠X is acute and ∠Y is obtuse.
Both ∠X and ∠Y are right angles.
∠X is obtuse and ∠Y is acute.
Both ∠X and ∠Y are acute angle

Answers

Answer:

the answer is that both x and y are acute

Solve trigonometric function

sin∅ × csc∅ + cos(3π/2 - ∅) × sin∅

Answers

Answer:

[tex]\sf \cos ^2\left(x\right)[/tex]

Explanation:

[tex]\sf \sin \left(x\right)\csc \left(x\right)+\cos \left(\frac{3\pi }{2}-x\right)\sin \left(x\right)[/tex]

[tex]\sf \sin \left(x\right)\csc \left(x\right)+\left(-\sin \left(x\right)\right)\sin \left(x\right)[/tex]

[tex]\sf \sin \left(x\right)\csc \left(x\right)-\sin ^2\left(x\right)[/tex]

[tex]\sf \cos ^2\left(x\right)[/tex]

Answer:

[tex]\cos^2(\theta)[/tex]

Step-by-step explanation:

Identities used:

[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}[/tex]

[tex]\cos(\frac{3 \pi}{2}-\theta)=\cos(\frac{3 \pi}{2})\cos(\theta)+\sin(\frac{3 \pi}{2})\sin(\theta)[/tex]

[tex]\textsf{As }\cos(\frac{3 \pi}{2})=0\textsf{ and }\sin(\frac{3 \pi}{2})=-1[/tex]

[tex]\implies \cos(\frac{3 \pi}{2}-\theta)=0 \times\cos(\theta)+-1\times\sin(\theta)=-\sin(\theta)[/tex]

[tex]\sin^2(\theta)+\cos^2(\theta)=1 \implies \cos^2(\theta)=1-\sin^2(\theta)[/tex]

Therefore,

[tex]\sin(\theta) \times \csc(\theta)+\cos(\frac{3 \pi}{2}-\theta)\times\sin(\theta)[/tex]

[tex]=\sin(\theta) \times\dfrac{1}{\sin(\theta)}-\sin(\theta)\times\sin(\theta)[/tex]

[tex]=1-\sin^2(\theta)[/tex]

[tex]= \cos^2(\theta)[/tex]

ion
ranco
7. Salina finds the range of the function
y = -4x2 + 8x + 7 by calculating the vertex.
Her work is shown in the box below.
Determine her error and find the range of the
function.
4
6
8
vertex: ( 1, 11)
range: y = 11
©Maneuvering the Middle LLC, 2020

Answers

Answer:

I don't know I just want my free answers

Sally has a new beaded necklace. 30% of the 20 beads on Sally's
necklace are blue. How many blue beads are there on Sally's necklace?

Answers

Answer:

30% of 20 is 6 so 6/20 are blue

20 - 6 = 14

Therefore Sally has 14 blue beads in her necklace

Step-by-step explanation:

50 points and brainlest

Answers

Answer:

1) x = y + 4

2) x + 6 = y

3) x = 2y

Answer:

1.  y = x - 4

2. y = x + 6

3. y = (1/2)x

4. c = 1.55n

5. e = 7.75h

 25 hours

Step-by-step explanation:

1.  y = x - 4

2. y = x + 6

3. slope m = change in y ÷ change in x

⇒ m = (7 - 6) ÷ (14 - 12) = 1/2

⇒ y - 6 = 1/2(x - 12)

⇒ y = (1/2)x

4. let c = cost

   let n = number of songs

Ordered pairs:  (1, 1.55) (2, 3.10) (5, 7.75)

⇒ c = 1.55n

5. let h = hours worked

  let e = total earnings

earns $7.75 per hours

⇒ e = 7.75h

video game system = $193.75

⇒ 193.75 = 7.75h

⇒ h = 25

**options missing for questions 6 and 7**

João claims he can read minds. His friend Pedro asked him to guess a number he was thinking of between 1 and 7 (inclusive). João guessed Pedro's number correctly 4 out of 9 times.
Let's test the hypothesis that João cannot read minds and therefore has a chance of
1/7 of guessing the correct number each time versus the alternative that his chance is somehow greater.
The table below sums up the results of 1000 simulations, each simulating 9 guesses with a chance of 1/7 start fraction, 1, divided by, 7, end fraction of being correct.
According to the simulations, what is the probability of having 4 or more correct guesses out of ?




Let's agree that if the observed outcome has a probability less than 1\%1%1, percent under the tested hypothesis, we will reject the hypothesis.
What should we conclude regarding the hypothesis?
Choose 1 answer:
Choose 1 answer:

(Choice A)

We cannot reject the hypothesis.

(Choice B)

We should reject the hypothesis.

correct guesses out of 9 Frequency
0 250
1 375
2 250
3 97
4 24
5 4
6 0
7 0
8 0
9 0

Answers

It can be deduced that the probability of having 4 or more correct guesses will be 0.0296.

How to calculate the probability

From the given information, the null hypothesis is p = 1/7 and the alternate hypothesis is p>1/7. In this case, the mind reader gets a 4 out of 9 chances.

In order to test the hypothesis, simulations for 10000 cases were run with a probability of the correct answer being 1/7.

In this case, the p-value is the probability of correct answers that are greater than 4, assuming the null hypothesis is true. Here the p-value is 0.0296.

Also, the significance level to reject the hypothesis is less than 0.01. Since p > 0.01, we then fail to reject the hypothesis. Therefore the null hypothesis stands and Joao is not a mind reader.

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Consider the angle , which is labeled as in blue on the graph, with corresponding point on the circle.

Sketch each of the angles given below, then select the point on the circle that best corresponds to the angle.

Answers

The point on the circle that corresponds to the angle will be:

π/2 = point Aπ - point D3π/2 = point E

How to illustrate the angle

From the complete question, the point on the circle that best corresponds to the angle is illustrated above.

Also, the least positive angle that is coterminal with 747° will be:

= 747 - 720

= 27°

The least positive angle that is coterminal with 1074° will be:

= 1074 - 720

= 354°

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PLS HELP IM BEING TIMED 2 FOR BRAINLIEST

Phyllis is going ice skating.
• the cost to rent figure skates for x hours is given by the function
f(x) = 1.50x + 2.00.
• the cost to rent hockey skates for x hours is given by the function
h(x) = 2.00x +1.50.

If phyllis rents skates for 3 hours, how much cheaper would figure skates be than
hockey skates?

(Note: Express the answer as dollars.cents.

Answers

Answer:

figure skates will be $1 cheaper.

Explanation:

given equation:

to rent figure skates : f(x) = 1.50x + 2to rent hockey skates : h(x) = 2x +1.5

solve for rent of figure skates:

f(x) = 1.50x + 2.00

f(3) = 1.50(3) + 2.00

f(3) = 6.5

solve for rent of hockey skates:

h(x) = 2x + 1.5

h(3) = 2(3) +1.5

h(3) = 7.5

cheaper - figure skates than hockey skates:

$7.5 - $6.5

$1

Which of the following is not a linear function?

Answers

A is not a linear function. For something to be linear the equation needs to be y = Mx + b (you should know this already) so if it’s squared or has a square root sign or something you know it’s not linear. Why? Because is doesn’t match the formula

Exercise 2 Determine the measures of the angles marked with letters. (Note: Lines with arrowheads are parallel)

pls answer it correctly​

Answers

Answer: n⁰ = 70⁰

Ok done. Thank to me :>

You go to the store to buy a new TV that is $430. If the tax is 6% of that price, what is the total cost of the TV including tax? PLEASE HELP ME

Answers

Answer:

455.8?

Step-by-step explanation:

$430 (tax: x,-,+) = 455.8.

tax: 25.8

Sorry if this is wrong.

Have a great day/night.

Yousef spins the following spinner 20 times, and it lands on 2 a total of 5 times. please help I will give brainliest

Answers

Answer:

40%

Step-by-step explanation:

sryy If I am wrong

Answer:

25 %

Step-by-step explanation

i just got it right on my test a few mins ago

Comstruct a parallelogram ABCD such that DC=6cm,angleADC=75 degree and the diagonal BD=9cm,construct the bisector of angle ADC and side AB,locate the point p where the two bisector meet,measure AP,DP,and angle APD.​

Answers

Hi! :)

Please take a look at the diagram of the parallelogram attached.

This is your answer

Have a great day!

Que número sumado a -5.5 + ? = 0

Answers

Creo que la respuesta que estás buscando es 5.5

Answer:

Perdon mi Espanol no es el mejor pero la respuesta es 5.5

Step-by-step explanation:

Please can someone help me and show the working out please​

Answers

Check the picture below.


Can somebody answer this for me I’ll appreciate it so much

Answers

the answer is c 75


please mark me as brainliest

What is the probability In a standard 52-card deck, Jacks (J), Queens (Q), and Kings (K) are considered face cards. If a card is selected from a well-shuffled deck, find the probability that the card is a face card.

Answers

Answer:

3/13

Step-by-step explanation:

No. of face cards = 3 x 4 = 12

Total cards = 52

P (face) = 12/52

= 6/26

= 3/13

Answer:

4/14 that's the answer ok ok

Two lines in the same plane that do not intersect are A line segment B. perpendicular C parallel D. midpoint​

Answers

Answer:

parallel

Step-by-step explanation:

How do I do this ?????

Answers

Answer:

14

Step-by-step explanation:

l-4l is 4 so 12/4=3 3x3=9 9+5 =14

Answer:

14

Step-by-step explanation:

Since absolute value is always positive, you will get 14. I will let you figure it out now. :D


The equation of the line that passes through the points (-1. 8) and (3,0) can be written in the form y = mx + c. Find the value of m and the value of c.

Answers

Answer:

m = - 2 , c = 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (3, 0 )

m = [tex]\frac{0-8}{3-(-1)}[/tex] = [tex]\frac{-8}{3+1}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (3, 0 )

0 = - 6 + c ⇒ c = 0 + 6 = 6

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