ANSWER ALL QUESTIONS
1. In a class of 28 pupils, 13 have pencils, 9 have erasers and 9 have neither pencils nor erasers. How
many pupils have both pencils and erasers?
2. A universal set, U consists of prime numbers with P and Q as subsets of U. If P and Q are given by
P = {n: 3(n + 1) = 2(n + 10)}, and Q = {n: 7<n<31}, list the elements of P n Q. ​

Answer:

fourteen thousand five hundred and eighty seven point twenty five.

Step-by-step explanation:

The given number is 14587.25.

We need to write it in standard form.

7 is in ones place, 8 is in tens place, 5 is in hundreds place, 4 is in thousands place and 1 is in ten-thousands place.

So,

14587.25 = fourteen thousand five hundred and eighty seven point twenty five.

Answer:

8 and 9

Step-by-step explanation

Answer:

53

Step-by-step explanation:

Answer:

Step-by-step explanation:

(f-g)=1

Answer:

It will feed 13 dogs.

Step-by-step explanation:

1 dog = 5 lbs

Set up an equation:

Variable x = number of dogs

1/5 = x/65

Cross multiply:

1 × 65 = 5 × x

65 = 5x

Divide both sides by 5:

13

Check your work:

13 dogs × 5 lbs = 65 lbs

65 = 65

Correct!

Answer:

[tex]5 \ \frac{73}{100} [/tex]

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2 numbers to the right of the decimal point, place the decimal number over 10^2 (100). Next, add the whole number to the left of the decimal.

Answer:

5 73/100

Step-by-step explanation:

5.73 = 573

100

= 573

100

as a fraction

To convert the decimal 5.73 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

5.73 = 5.73

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

5.73

1

= (5.73 × 100)

(1 × 100)

= 573

100

.

(This fraction is alread reduced,

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 573

100

is also equal to 5 73/100

when expressed as a mixed number.

Answer:

First table

Step-by-step explanation:

Answer:

growth

79% rate of increase

Step-by-step explanation:

1.79 is > than 1

therefor growth

1.79  = 79% rate of increase

Answer:

180

Step-by-step explanation:

9x20= 180

Answer:

Step-by-step explanation:

Well You Know you have to multiply

multiply 9 times 20

9 times 2 18

then add the zeros

The answer is 180

Answer:

4 years

Step-by-step explanation:

I = prt

F = p + prt

F = 1400 + 1400 * 0.04 * t

1624 = 1400 + 1400 * 0.04 * t

224 = 56t

t = 4

Answer: 4 years

Answer:

10 hours at job (1)

2 hours at job (2)

Step-by-step explanation:

As per the given information, one earns ($8) dollars at one of their jobs, and ($10) hours at the other. One must earn a total of ($100) dollars, and can work no more than (12) hours. Let (x) be the hours worked at job 1 and (y) be the hours worked at job two.

Since one can work no more than (12) hours, the sum of (x) and (y) must be (12), therefore the following equation can be formed;

[tex]x+y=12[/tex]

One earns ($8) dollars at one of their jobs and ($10) at the other, but one earns a total of (100) one can form an equation to represent this situation.  Multiply the hours worked by the money earn per hour for each job, add up the result and set it equal to (100).

[tex]8x+10y=100[/tex]

Now set up these equations in a system;

[tex]\left \{ {{x+y=12} \atop {8x+10y=100}} \right.[/tex]

Use the process of elimination to solve this system. The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations in the system such that one of the variable coefficients is the additive inverse of the other. That way, when one adds the equation, the variable cancels, one can solve for the other variable then back solve to find the value of the first variable,

[tex]\left \{ {{x+y=12} \atop {8x+10y=100}} \right.[/tex]

Manipulate,

[tex]= \left \{ {{(*-8)(x+y=12)} \atop {8x+10y=100}} \right.\\\\[/tex]

Simplify,

[tex]= \left \{ {{-8x-8y=-96} \atop {8x+10y=100}} \right.\\[/tex]

Add,

[tex]=2y=4[/tex]

Inverse operations,

[tex]y=2[/tex]

Backsolve for (x), use equation one to achieve this,

[tex]x+y=12\\[/tex]

Substitute,

[tex]x+2=12[/tex]

Inverse operations,

[tex]x=10[/tex]

Answer:

The antiderivative is [tex]F(X) = 6x + 6x^4 + 3x^6 - 15[/tex].

Step-by-step explanation:

Antiderivative F(x)

This is the integral of [tex]F^{\prime}(x)[/tex]

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

[tex]F(x) = \int (6 + 24x^3 + 18x^5) dx[/tex]

[tex]F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K[/tex]

[tex]F(x) = 6x + 6x^4 + 3x^6 + K[/tex]

F(1)=0

[tex]F(X) = 0[/tex] when [tex]x = 1[/tex]. We use this to find K.

[tex]F(x) = 6x + 6x^4 + 3x^6 + K[/tex]

[tex]0 = 6 + 6 + 3 + K[/tex]

[tex]K = -15[/tex]

Thus

The antiderivative is [tex]F(X) = 6x + 6x^4 + 3x^6 - 15[/tex].

Answer:

y=3x-2

Step-by-step explanation:

You can verify it's not D because the y-intercept is at -2.

You can verify it's not A because that would mean the x-intercept is 2 despite it appearing to be closer to one.

You can verify it's not B because that would mean the x-intercept is 1.5

[tex]\longrightarrow{\green{ D. \:8 }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]5 \: |7 - 9| - 2[/tex]

[tex] = 5 \: | - 2| - 2[/tex]

[tex] = 5 \times 2 - 2[/tex]

[tex] = 1 0- 2[/tex]

[tex] = 8[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

0.21

Step-by-step explanation:

There's 21 kids with a cell phone and no tablet

so 21/100 = 0.21

Answer:

FV= $242,731.14

Step-by-step explanation:

Giving the following information:

Annual investment (A)= $755

Number of periods (n)= 23*12= 276 months

Interest rate (i)= 0.013/12= 0.0010833

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {755*[(1.0010833^276) - 1]} / 0.0010833

FV= $242,731.14

Step-by-step

I hope it helps you

Answer:

25 students:1 teacher

Step-by-step explanation:

in ever class in my school there is 1 teacher and we have between 20 and 30 students therefor 20 + 30 / 2 is 25

Answer: B ACE is similar to DCB

Step-by-step explanation:

9514 1404 393

Answer:

  (a) The decrease in the value of the truck, which is 12%

Step-by-step explanation:

The only reasonable choice among the offered answers is the one shown above.

__

We would describe the value 0.88 as the annual multiplier of the truck's value, which decreases 12% each year.

Answer:

D. (-2, -6) and (5,15)

Step-by-step explanation:

When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.

Answer:

C)  The graph rises to the left and rises to the right.

Step-by-step explanation:

The highest expone tis even and it's coefficient is positive

therefor

The graph rises to the left and rises to the right.

Answer: C) complementary angle and D) right angle

Step-by-step explanation:

A is wrong because supplementary angles add up to 180 and this shows a right angle not a straight line

B is wrong because this a right angle not a straight angle

C is correct because complementary angles are two angles that add up to 90 degrees. angle EFH is split into EFG and GFH which adds up to 90 degrees.

D is correct because you can see the right angle symbol for angle EFH

The given angles shown in the figure are right angles and complementary angles.

Supplementary angles are two angles that add up to 180 degrees.

A straight angle is an angle that measures exactly 180 degrees.

It is a straight line, so it forms a straight angle.

A complementary angle is a pair of angles that add up to 90 degrees.

∠EFG and ∠GFH together are complementary angles as their sum is 90 degrees.

A right angle is an angle that measures exactly 90 degrees.

∠EFH is a right angle.

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ7

Answer:

37.68 in.^3

Step-by-step explanation:

diameter = 4 in.

radius = diameter/2 = 2 in.

height = 9 in.

[tex] V = \dfrac{1}{3}\pi r^2 h [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \dfrac{1}{3}(3.14)(2~in.)^2(9~in.) [/tex]

[tex] V = \blue{37.68~in.^3} [/tex]

Answer:

length= 17.5 m , breadth = 12.5 m

Step-by-step explanation:

The ratio of length : breadth = 7 : 5 = 7x : 5x ( x is a multiplier )

Then

2l + 2b = perimeter ( l is length, b is breadth )

2(7x) + 2(5x) = 60

14x + 10x = 60

24x = 60 ( divide both sides by 24 )

x = 2.5

Then

length = 7x = 7 × 2.5 = 17.5 m

breadth = 5x = 5 × 2.5 = 12.5 m

Answer:

16050, 31.03

Step-by-step explanation:

15000x1.07 (adds 7% tax)=16050

29x1.07(adds 7% tax to price)=31.03

Answer:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

Step-by-step explanation:

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.

Answer:

false

Step-by-step explanation: