The school library is (3x - 4) metres long and (2x - 3) metres wide. Find the floor area of the library in:

a) terms of x

b) square metres if x = 4​

Answers

Answer 1

Answer:

40 meters

Step-by-step explanation:

x=4

3x-4=12-4

2x-3=8-3

12-4=8

8-3=5

8x5=40


Related Questions

Give an example of a strong, negative correlation
coefficient.

Answers

Answer:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

Step-by-step explanation:An example of a strong negative correlation would be -0.97 whereby the variables would move in opposite directions in a nearly identical move.

8 ft
6 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate i.
A = [? ] ft2

Answers

Answer:

49.12 ft squared

Step-by-step explanation:

1/2(6*8) = 24

1/2(16)pi = 8pi = 25.12

total: 49.12

I WILL CHOOSE BRAINLYEST please asap need help

Answers

Answer:

a. is not proportional and b. is proportional

Step-by-step explanation:

a. constant is 1 and b. constant is -2

please help!! need this done by today or it will affect my matriculation

Answers

(a) second option
9 people
the cost is $5 per person
45/5 = 9

(b) second option
30 km
it travels 3km per minute
10(3) = 30

Grandma Margie made 12 blankets for her grandkids. The ratio of striped to non striped blankets were 2:4. How many blankets were striped

Answers

Answer:

Total Ratio = 2+4

=6

Striped blankets = 2/6 × 12

= 4 Striped Blankets

Step-by-step explanation:

Can't really explain

2+4=6
12/6=2
Striped: 2 x 2 = 4
Non-striped = 2 x4 = 8

Striped blankets = 4

How many degress will the hour hand of a well clock move from 1:00am to 4:00am

Answers

Answer:

90

Step-by-step explanation:

each minute on the clock is 6 degrees so 6*5=30= 1 hour

30*3=90 because 3 hours

Simplify 12.4 and 12.39

Answers

Answer:

12.4 and 12.39 = 4.836x12

Step-by-step explanation:

( 8 + 92 ) - 4 x 10 what is it

Answers

Answer:  60

8 + 92 = 100

4 × 10 = 40

100 + 40 = 60

Answer:

[tex]60[/tex]

Step-by-step explanation:

[tex](8 + 92) - 4 \times 10[/tex]

[tex]100 - 4 \times 10[/tex]

[tex]100 - 40[/tex]

[tex]60[/tex]

Hope this helps!

I just need what’s missing

Answers

Answer:

  $0.88/lb

Step-by-step explanation:

The end result of this units conversion is found by multiplying the fractions in the usual way. The numerator is the product of the numerators; the denominator is the product of the denominators. Of course, the division must be carried to completion to arrive at the unit price.

__

  [tex]=\dfrac{26.29\times0.074\times1}{1\times1\times2.2}\ \dfrac{\text{dollars}}{\text{lb}}=\dfrac{1.94546}{2.2}\ \dfrac{\text{dollars}}{\text{lb}}\approx\boxed{0.88\ \dfrac{\text{dollars}}{\text{lb}}}[/tex]

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called __________. Group of answer choices measurement error sample bias probability sampling sampling error

Answers

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called Sampling Error , Option D is the correct answer.

What is Sampling Error ?

Sampling error is the difference between the estimated value and the  true value if the whole population was enumerated while doing the sampling.

By following the sampling principles one can keep the sampling error to the minimum.

The knowledge of the sampling error  will help in evaluating the sampling process and defining gits efficiency.

The factors that affect Sampling Error are

Sample Size: When the sample size is large , the Sampling error decreases , They do not have a direct proportion.

Sample Design : These define how the sample will be taken , cluster , random , stratified , Different methods have different extent of sampling error , The design should be selected according to the population and resources constraints.

Population Variability : The variability in the population increases the sampling error as the sampling is then cannot be uniform and cannot represent the entire population , By increasing sample size , the population variability can be minimized and so the sampling error.

Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called sampling Error.

Therefore , Option D is the correct answer.

To know more about Sampling Error

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10 cans of mushrooms cost $27.80. The cost of each can is the same. What is the cost of
each can?

Answers

Answer:

This problem gives us the total amount of cans and it also gives us the total cost and asks us to find the cost of each can when every can costs the same amount.  To do this we need to $ to be on the top and the can on the bottom because we say price PER can.

[tex]\frac{total\ price}{total\ amount\ of\ cans}[/tex]

[tex]\frac{\$27.80}{10\ cans}[/tex]

[tex]\$2.78\ per\ can[/tex]

Therefore, our final answer is that each can costs $2.78

Hope this helps!  Let me know if you have any questions

A class contains 5 girls and 5 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?

Answers

Answer:

20/39.

Step-by-step explanation:

There are a total of 13 students.

Prob(Boy is selected) = 8/13

Prob(Girl is then selected) = 5/12

So probability ( Boy selected then a girl)  = 8/13 * 5/12 = 10/39

- and the probability of Girl then a boy selected is also  10/39

So the required probability = 2 * 10/39

= 20/39.

Determine the square foot of logo 2 write it out in equation form I’ll give 100 points

Answers

Answer:

45 ft²

Step-by-step explanation:

Logo 2 comprises 5 congruent squares with side length 1/2 in

Given scale:  1 in = 6 ft

⇒ 1/2 in = 3 ft

Area of a square = s²  (where s is the side length)

⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²

Therefore, the total area is:

⇒ area = 5 × 9 ft² = 45 ft²

In equation form:

A = 5(6s)²

where:

A = area (in ft²)s = side length (in inches)

Suppose a jar contains 11 red marbles and
21 blue marbles. If you reach in the jar and
pull out 2 marbles at random at the same
time, find the probability that both are red.

Answers

Answer:

There are 32 marbles. 11 are red. So odds of a red on the first are 11/32.

Now there are 31 marbles left. 10 are red. So odds of a red on the second is 10/31.

Probability both are red, just multiply …. 11/32x 10/31 = 110/992 or 0.111.

HELP I WILL MARK BRAINIEST IF YOU HELP

Answers

Answer:

3.5 Is the answer, this is dialation

Answer:

x = 28

Step-by-step explanation:

Since none of the current side values of Triangle 1 can be increased by the same values to represent Triangle 2, we have to divide the values of Triangle 1 by half.

T1 S1: 10 / 2 = 5

T1 S2: 8 / 2 = 4

T1 S3: 12 / 2 = 6

Now in order to find out the value that you need to multiply these sides by, you need to divide Triangle 2's values by Triangle 1's simplified side values.

T2 S1: 35 / 5 = 7

T2 S2: x / 4 = ?

T2 S3: 42 / 6 = 7

Triangle 2's Side 1 becomes 7 and Triangle 2's Side 2 becomes 7 as well. Because the value of x is unknown and both Triangle's sides seem to be the same value of 7, you can safely assume that Triangle 2's Side 2 will also have a value of 7.

x / 4 = 7

x = 7(4)

x = 28


The results that Charles, Isabella and Naomi achieved in four tests are shown in
the table below. They want to see who has the most consistent results.
a) Which of the mean, median, mode or range should they calculate to help
them decide?
b) Who achieved the most consistent results?
Charles 46, 43, 39, 57
Isabella
69, 64, 62, 71
Naomi
94,80, 61,72

Answers

Answer:

Range & Isabella

Step-by-step explanation:

Part A:

Definitely not range mean or median, as that'll give you their average, not consistency.  None of their tables show any repeating values, so not mode either, and range would be the most hopeful for this.

Part B:

The results with the smallest range would be the most consistent:

Charles:
Lowest value = 39 and Highest Value = 57
Range = 57-39 = 18

Isabella:
Lowest value = 62 and Highest value = 71
Range = 71-62 = 9

Naomi:
Lowest value = 61 and Highest value = 94
Range = 94-61 = 33

Isabella achieved the most consistent results.  Hope this helps

Please help the best answer will get brainliest

Answers

Answer:

164 cm^2

Step-by-step explanation:

Total surface area = 2 * area of triangle + areas of the 3 rectangles

= 2 * 1/2 * 5 * 4 + 5 * 9 + 5 * 9 + 6 * 9

=  20 + 45 + 45 + 54

= 164 cm^2

please answer 60 points

Answers

Answer:

c. 90 cm³

Step-by-step explanation:

Formula applied :

Volume (triangular prism) = Base × Height

Solving :

⇒ Volume = 9 cm² x 10 cm

⇒ Volume = 90 cm³

The answer option is c

Answer:

c.  90 cm³

Step-by-step explanation:

Formula

Volume of a right prism = area of base × height

Given:

area of base = 9 cm²height = 10 cm

Substitute the given values into the formula:

⇒ Volume = 9 cm² × 10 cm

                  = 90 cm³

Here's the question, please help!

Answers

x=2sinty=3sint

#1

x²/2+y²/3(2sint)²/2+(3sint)²/34sin²t/2+9sim²t/32sin²t+3sim²t5sin²t

False

#2

x²+y²4sin²t+9sin²t13sin²t

False

#3

3x²+2y²3(4sin²t)+2(9sin²t)12sin²+18sin²t30sin²t

False

None of the above

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:

[tex]x=2\sin t[/tex]

[tex]\implies \sin t=\dfrac{x}{2}[/tex]

Substitute this into the given equation for [tex]y[/tex]:

[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]

Therefore, the Cartesian form of the parametric curve is:

[tex]y=\dfrac{3}{2}x[/tex]

Further Information

[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]

[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]

[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]

[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]

Please help i need to pass math

Answers

Answer:

[tex]6 {x}^{2} - 5x - 4[/tex]

Step-by-step explanation:

[tex](2 {x}^{2} - 3x + 1) + (4 {x}^{2} - 2x - 5) = \\ 2 {x}^{2} + 4 {x}^{2} - 3x - 2x + 1 - 5 = \\ 6 {x}^{2} - 5x - 4 [/tex]

Answer:

B

Step-by-step explanation:

topic: polynomials

Just add like terms

Need help please. Determine whether the statement is true or false.

Answers

Answer:

false

Step-by-step explanation:

Select the dot plot with the least variability.

Answers

The dot plot with the least variability will be C.

How does the dot plot work?

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

The dot plot with the least variability will be C.

The graph is given below.

Learn more about dot plots here:

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The area of rectangle is 60inc * h ^ 2 If its breadth is 5 inch, find the length of breadth in ft.​

Answers

Hey ! there

Answer:

Length of breadth in ft is 0.416 ft .

Step-by-step explanation:

In this question we are given area of rectangle that is 60 inches square and its breadth is 5 inch . We are asked to find the length of breadth in ft .

SOLUTION : -

For changing " in " into " ft " we need to divide the given inch value by 12. So Dividing 5 inches by 12 :

[tex] \quad \dashrightarrow \qquad \: \dfrac{5}{12} [/tex]

We get :

[tex]\quad \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{0.416 \: ft}}}} \quad \bigstar[/tex]

Henceforth , length of breadth in ft is 0.416 ft .

#Keep Learning

Winston is making steaks for his 7 friends. If each steak is 7.2 oz, how much steak is Winston making?

Answers

7 multiplied by 7.2 equals 50.4. The answer is 50.4 oz of steak.

Answer:

3.15 lbs or 50.4 oz

Step-by-step explanation:

multiply steak oz by the number of steaks

7.2 * 7 = 50.4

to convert oz to lbs divide by 16

50.4/16 = 3.15

your answer is 50.4 oz or 3.15 lbs

hope this helps:)

Jamal is looking for a summer job. One job pays $10 per hour. Another pays $15 per hour but requires a uniform that costs $50. What are the two quantities that vary in relation to each other in this situation?

Answers

Answer:

Jamel work one job per hour pays =$10

Jamel work Another pays=$15

Jamel Uniform costs=$50

Total situation=$7,500

could someone PLEASE help me with this slope activity? any help would be appreciated, ive been stuck on it for days. this is 10th grade geometry, whoever helps i will gladly give you 5 stars, im just rlly stuck on this

Answers

Answer:

Slope = (y₁-y₂) / (x₁- x₂)JM
y₁ = 1

y₂ = -3

x₁ = 2

x₂ = 2

Slope = ( 1 + 3) / 0 = undefined

JK

y₁ = 1

y₂ = 4

x₁ = 2

x₂ = 5

Slope = ( 1-4) / (2-5) = 1

KL

y₁ = 4

y₂ = 1

x₁ = 5

x₂ = 7

Slope = (4-1) / ( 5-7 ) = -1.5

ML

y₁ = -3

y₂ = 1

x₁ = 2

x₂ = 7

slope = (-3-1) / ( 2-7) = 4/5

PPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLEASE Help

Answers

Answer:

4cm

Step-by-step explanation:

sin(30) = 2/x (using trigonometry)

rearrange for x to give x = 2/sin(30)

then x = 4cm (using calculator)

SIMILARLY:

You can use 2/cos(60) to also give 4cm

Felipe bought 32 ounces of nuts at the store. How much is this in pounds?

Answers

Answer:

2 pounds (lbs)

Step-by-step explanation:

The lifespan of a pair of shoes is normally distributed with a mean of
24 months and a standard deviation of 6 months. what is the
probability that a new pair of shoes won't last longer than 18 months?
a)8%
b)50%
c)23%
d)16%
e)34%

Answers

a)8% is the right answer

You score an 84 on the first of two exams. Write and solve an equation to find the score x that you need on the second exam to have a mean score of 92. I got the answer -76 I need to know if that's correct.

Answers

Answer: 100

Step-by-step explanation:

▪︎ To find the mean we take the sum of the values and divide it by the number of values.

▪︎ Let x be your score on the second exam.

(84 + x) / 2 = 92

84 + x = 92*2

84 + x = 184

x = 100

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