A rectangle has a perimeter of 18 cm. The long side is 1 cm more than three times the small side. How big is the small side?

Answers

Answer 1
Let small side be X

Larger side=3X+1

l+b=perimeter/2

3X+1+X=18/2

4X+1=9

4X=9–1=8

X=8/4=2

Smaller side(b) =2 inch

Related Questions

Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight

Answers

Answer:

The answer is "Option 5"

Step-by-step explanation:

Please find the complete question in the attached file.

Throughout the above output the regression equation is:

Delivery cost [tex]=0.469\times weight +9.617[/tex]

- b/0.1 +2.9= -35.1 no links or anything just the answer

Answers

Answer:

b = 3.8

Step-by-step explanation:

- b/0.1 +2.9= -35.1

Subtract 2.9 from each side

- b/0.1 +2.9-2.9= -35.1-2.9

-b/.1 = -38

Multiply each side by -.1

-b/.1 * (-.1) = -38 *(-.1)

b = 3.8

sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?

Answers

Answer:

592 Votes

Step-by-step explanation:

According to the Question,

Given That, a sample of 178 students was surveyed one week prior to the election for student body president  Regarding their choice of three candidates.The table below shows the results of the survey.

                                 A        B       С

Candidates Votes     67      57     54

And, There are 1571 students in the school.

So, The Total votes can  candidate 'A' expect to Receive is

⇒(1571/178)×67

⇒591.33 ≈ 592 Votes(Approximately)

is 2(9x) and 18x
Equivalent?
Explain why

Answers

Yes they are both equivalent because 2 times 9 is 18 and if you add the x it is 18x

Cooper buys a one-gallon bottle of juice for $12.80. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon 4 quarts 1 quart 2 pints 1 pint = 2 cups 8 fluid ounces 1 cup Before you try that problem, answer the question below. How many fluid ounces of juice did Cooper buy?


how many fluid ounces of juice did he buy ???​

Answers

Answer: There are 128 fluid ounces in a gallon

Step-by-step explanation:

There are 128 fluid ounces in a gallon

I need some help on this math question. Please explain how you found the answer too!

Answers

Answer:

A

Step-by-step explanation:

The table represents a proportional function which has a rate of proportionality equal to 5

In fact

5:1 = 5

15 : 3 = 5

25 : 5 = 5

35 : 7 = 5

If we make 90 : 18, the result is 5, so this dates can be part of the table

How many different ID cards can be made if there are 8 digits on a card if digits can be repeated?​

Answers

Answer:

10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers

Step-by-step explanation:

hope it works.

If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
Write an equation and solve by guess-and-check.
9
c. 9x = 135; 15 tickets
135, 15 tickets
a
X
b. 9 + x = 135; 15 tickets
d. 9 - x = 135: 15 tickets

Answers

Answer:

15

Step-by-step explanation:

135 divided by 9 = 15

If 8 x - 4 = 6 - 3 x then x =

Answers

Answer:

4th option is correct

Step-by-step explanation:

[tex]8 x - 4 = 6 - 3 x[/tex]

[tex]8x−4+3x=6[/tex]

[tex]11x−4=6[/tex]

[tex]11x=6+4[/tex]

[tex]11x=10[/tex]

[tex]x = \frac{10}{11} [/tex]Hope it is helpful...

Answer:

option 4 ,

x=10/11

is the answer of your question

explanation is attached below .

hope it is helpful to you

Solve the following equations for x,
if 0 ≤ x ≤ 2π.

i. 3csc² x – 4 = 0
ii. 4cos² x + 2cos x – 2 = 0


help me solve pls

Answers

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2  or   x = arcsin(-√3/2) + 2

x = π/3 + 2   or   x = -π/3 + 2

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

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

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = arccos(1/2) + 2   or   x = 2π - arccos(1/2) + 2]   or   x = arccos(-1) + 2

[x = π/3 + 2   or   x = 5π/3 + 2]   or   x = π + 2

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

A box has a height of 6 inches.
6 in.
Base
The area of the base is 40 squbere inches.
What is the volume of the box?
Pleaseee

Answers

volume should be 240

Answer:

the awnser is 216

Step-by-step explanation:

Perform the operation and, if possible, simplify
21/20 - 4/15

Answers

Answer:

47/60

Step-by-step explanation:

Find the LCM and multiply to get there.

LCM is 60

63/60-16/60

47/60

Solve the 5 questions!!!

Answers

Answer:

What is the answer you're looking for?

Step-by-step explanation:

Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches

Answers

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that [tex]\mu = 109, \sigma = 12[/tex]

Sample of 25.

This means that [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex]

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{112 - 109}{2.4}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Which equation graphs as the parabola?
A) Ax) = x² + 4
B) f(x) = x2 + 2x + 4
C) Ax) = x² + 5x- 4
OD) Ax) = x² + 3x-4

Answers

Answer: x^2 + 3x - 4

Explanation: I used desmos to double check! This should be right :)

What is the area of the parallelogram below?



7 in2
14 in2
18 in2
28 in2

Answers

Answer:

14 (B)

Step-by-step explanation:

Area = L * h

L = 7 in^2

h = 2

Area = 7 * 2

Area = 14 in^2

Answer:

14

Step-by-step explanation:

Did lesson

help pls? asap. pls and ty :)​

Answers

Answer:

a

Step-by-step explanation:

1/2x-30aaaaaaaaaaaaaaaa

Find the measurement of angle b.

Answers

Answer:

b = 55

Step-by-step explanation:

The two angles add to 90 degrees

b+35 = 90

Subtract 35 from each side

b +35-35 = 90-35

b = 55

Answer:

90-35=55

Answer is D

Step-by-step explanation:

As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:

90-35=b

90-35=55

55=b

jessica is planning a lunch banquet. the equation C=760+21g models the relation between the cost in dollars, C of the lunch banquet and the number of guest, g. find the cost if the number of guest is 30

Answers

Answer:

C = 1390

equation :

C=760+21g

Variables understanding

g = guest

c= cost

We are Finding C

If C is unknown

and c = 30.

C=760+21 x 30

C = 760+630

C = 1390

Answer:

1389

Step-by-step explanation:

hope this helps alot

Marsha deposited $10,000 into a savings account 5 years ago. The simple interest rate is 3%.
much money did Marsha earn in interest

Answers

Answer:

She earned 1500 in interest

Step-by-step explanation:

10,000 × 0.03 × 5 = 1500

Your welcome :)

How many plants are shorter than 27 inches?

Answers

15 one (I think that)..

3X TO THE POWER 6 * 2Y TO THE POWER 12 =??

Answers

9514 1404 393

Answer:

  6·x^6·y^12

Step-by-step explanation:

(3x^6)(2y^12) = (3)(2)x^6·y^12 = 6·x^6·y^12

Answer:

6 x ⁶ y ¹²

Step-by-step explanation:

= ( 3 x ⁶ ) ( 2 y¹² )

= ( 3 ×2 ) x ⁶ y ¹²

= 6 x⁶ y ¹²

i need help on #10. very confused

Answers

Step-by-step explanation:

[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}[/tex]

[tex]\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}[/tex]

[tex]\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)[/tex]

[tex]\:\:\:\:\: \displaystyle= 2x[/tex]

EASY QUESTION!!!!!!!!!! PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!

What is one benefit of displaying data from multiple samples in a graph or table?

Answers

It can save time from doing number crunching and analysis because it's an easy to see visual.

PLEASE HELP ME

Solve:

24t = 72

OA) t= 3

OB) t= 4

OC) t=- 2/1

OD) t= 1/3​

Answers

Answer:

t =3

Step-by-step explanation:

24t = 72

Divide each side by 24

24t/24 = 72/24

t=3

Answer:

A

Step-by-step explanation:

24 t = 72

divide both sides by 24

Thus, t = 72/24

t = 3

Bye ! :-)

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.


Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?

A: a gain of $0.45

B: a gain of $0.55

C: a loss of $0.55

D: a loss of $0.45​

Answers

Answer:  A)  gain of $0.45

===============================================

Explanation:

Let x be the net winnings the customer gets

Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.

The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize

Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95

The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.

This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.

Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.

----------------

Here's another way to see why this works:

The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.

In 1992, the moose population in a park was measured to be 4600. By 1998, the population was measured again to be 4240. If the population continues to change linearly

1.Find a formula for the moose population, P , in terms of t, the years since 1990.

2.What does your model predict the moose population to be in 2009?

Answers

Answer:

P(t) = - 60t + 4720

3580

Step-by-step explanation:

Given :

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

m = (4250 - 4600) / (8 - 2)

m = - 360 / 6

m = - 60

Using the point slope relation :

y - y1 = m(x - x1)

y - 4600 = - 60(x - 2)

y - 4600 = - 60x + 120

y - 4600 + 4600 = - 60x + 120 + 4600

y = - 60x + 4720

P(t) = - 60t + 4720

To predict population in 2009 :

2009 - 1990 = 19 years

Put t = 19

P(19) = - 60(19) + 4720

P(19) = - 1140 + 4720

P(19) = 3580

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?

Answers

The answer that represents the total number of stamps that Malik has collected is: x + y = 212. The equation that represents the difference in the number of foreign and domestic stamps Malik collected is: x - y = 34. The System of Linear Equations that represent the situation is: x - y = 34 and x + y = 212.

Answer:

answer in picture
c, b, d

Step-by-step explanation:

what is the integer of-2​

Answers

Answer:

-2

Step-by-step explanation:

The integer of - 2 is - 2 only as integers can be positive and negative whole numbers

Curtis threw 15 darts at a dartboard.40% of his darts hit the bulls eye. How many darts did not hit the bulls eye?

Answers

Answer:

9 did not hit the bulls eye

Step-by-step explanation:

If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye

15 * 60%

15 *.6

9

9 did not hit the bulls eye

Answer:

Therefore, 9 darts did not hit the bull's-eye.

Step-by-step explanation:

Equivalent ratio states that the two ratios are express the same relationship between numbers

As per the given statement: Curtis threw 15 darts at a dashboard.

40% of his darts hit the bull's eye

then;

60 % of his darts did not hit the bull's eyes.

By definition of equivalent ratio;

x/15= 600/100

Multiply both sides by 15 we have;

x= 60/100 *15= 60*15/100= 900/100=  9 Darts

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