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

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

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.

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

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.

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.

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

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

Solve the 5 questions!!!

Answers

Answer:

What is the answer you're looking for?

Step-by-step explanation:

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 ! :-)

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 :)

- 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

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

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

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)..

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.

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

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:

help pls? asap. pls and ty :)​

Answers

Answer:

a

Step-by-step explanation:

1/2x-30aaaaaaaaaaaaaaaa

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

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]

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.

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

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]

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

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

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

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:

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)

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