Find the area of the dining room in square feet. Round to the nearest square foot. 8’ x 10’ 8”

Answer:

24

Step-by-step explanation:

Alright so the number has to be above 20 and below 35.

It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34

Since the sum of the digits has to be 6, the only number from that list that it can be is 24.

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

24

Step-by-step explanation:

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

B.

Step-by-step explanation:

total chips = 6

chips not including yellow= 4

simplify 4/6 = 2/3

Answer:

2307 ways

Step-by-step explanation:

Given

Candidates: 5

Men (Applicants): 14

Women (Applicants): 6

Job Positions: 5

Man = 3

Women = 2

Required:

Number of possible outcomes

This question represent selection; i.e. selecting candidates for job positions;  

This question can be solved by using Permutations/Selection formula

Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women

Let M represent Men and W represent Woman

Number of ways = M + W

Calculating M

[tex]M = nPr[/tex]

Substitute nPr with its formular

[tex]M = \frac{n!}{(n-r)!}[/tex]

Where n = 14 men and r = 3 applied

[tex]M = \frac{14!}{(14 - 3)!}[/tex]

[tex]M = \frac{14!}{11!}[/tex]

[tex]M = \frac{14*13*12*11!}{11!}[/tex]

[tex]M = 14*13*12[/tex]

[tex]M = 2184[/tex]

Calculating W

[tex]W = nPr[/tex]

Substitute nPr with its formula

[tex]W = \frac{n!}{(n-r)!}[/tex]

Where n = 6 men and r = 2 applied

[tex]W = \frac{6!}{(6-2)!}[/tex]

[tex]W = \frac{6!}{2!}[/tex]

[tex]W = \frac{6*5*4*3!}{2!}[/tex]

[tex]W = 6*5*4[/tex]

[tex]W = 120[/tex]

Recall that Number of ways = M + W

Number of Ways = 2184 + 123

Number of Ways = 2307

Answer:

Range { -8,-3,5,7}

Step-by-step explanation:

The range of the function is the output values

Range { -8,-3,5,7}

Answer:

D

Step-by-step explanation:

8, -3, 5, 7

List of all possible outputs

Answer:

-15,20

Step-by-step explanation:

I do not know how to explain how I did it lol :) , but I am very sure that it is correct.

I hope this help you :)

Answer:

-15, 20

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

5, -5, 10, -10, 15,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

5 - first term

-5 - second term

5 ? ? = -5

5 × -1 = -5

So, this means the sequence multiplied negative one by the first term to get the second term. Therefore, the pattern should be 'multiply negative one' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

5, -5, 10, -10, 15,...

5 × -1 = -5 [correct; provides the next term]

-5 × -1 = 5 [incorrect; does not provide the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -1 = 10 [incorrect; does not provide the next term]

According to the calculations shown above, the pattern we have identified ('multiply negative one') only works on every other term. Therefore, we must figure out the rest of the pattern for the remaining terms. To do that, identify what basic operation and number must be applied.

-5 - second term

10 - third term

-5 ? ? = 10

-5 × -2 = 10

So, this means the sequence multiplies negative two every other term. Therefore, the pattern should be:

multiply by negative one, multiply by negative two

However, to be sure the pattern we have identified is correct, apply it to the sequence.

5 × -1 = -5 [correct; provides the next term]

-5 × -2 = 10 [correct; provides the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -2 = 15 [correct; provides the next term]

Now that we have identified the correct pattern, let's apply it to the last term to find the next two terms.

5, -5, 10, -10, 15....

15 × -1 = -15

-15 × -2 = 20

Therefore, the next two terms in the sequence is -15, 20.

Answer:

Alex: 18

Thomas: 12

Step-by-step explanation:

A : T : TOTAL

3 : 2 : 3 + 2 = 5

total number of units : 5

total number of sweets : 30

1u = 30 ÷ 5 = 6

Alex = 3u = 3 × 6 = 18

Thomas = 2u = 2 × 6 = 12

Answer:

C. 9.6 cm

Step-by-step explanation:

This is all about unit rate. In this scenario the unit rate is 50/1 and for 480 km that fraction would be 480/x so we could either do cross multiplication or divide across the numerator and denominators.  Let's divide. 480/50 is equal to 9.6. Seeing as that is what helped us get from numerator a to numerator b we would then multiply that in our denominators. So, 1*9.6 is equal to 9.6 so the amount of cm for 480 km is 9.6 cm.

Answer:

$5000

Step-by-step explanation:

Hours until midnight = 3 1/2

Hours until 1am = 1

3 1/2 x 1000 = 3500 = $3500

1 = ( 1000 x 0.50 = 500 (+1000) ) = 1500= $1500

3500+1500 = $5000

Answer :

[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]

I hope it helps :)

Answer:

When x=2 the expression is undefined

Step-by-step explanation:

When the denominator is zero, the expression is undefined

2x-4 =0

2x=4

x=4/2

x=2

When x=2 the expression is undefined

Answer:

Last option is the correct choice.

Step-by-step explanation:

See the attachment below.

Best Regards!

Answer:

A. 1

Step-by-step explain

You put the number in order and it will be only the 6 from the 6-10.

The value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.

The frequency is the number of times an event happens. Therefore, frequency is the number of repetition of a digit or an event.

For the given data set 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19. The frequency table can be made as,

1 - 5  ⇒  3

6 - 10  ⇒  1

11 - 15  ⇒  4

16 - 20  ⇒  5

21 - 25  ⇒  2

Hence, the value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.

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Answer:

1) The probability that a person who tests positive actually has the disease is 0.1056 or 10.56%

2) 180 combinations

3) 5040 pin numbers can be chosen

4) 54439560 ways

5) 389283935040 ways

Step-by-step explanation:

1) From Bayes' theorem, we have;

[tex]P(A\mid B) = \dfrac{P(A)P(B\mid A)}{P(A)P(B\mid A)+P\left (\overline{A} \right )P\left (B\mid \overline{A} \right )}[/tex]

Where:

[tex]P(A\mid B)[/tex] = Percentage of the population that tests positive for the disease that actually have the disease

P(A) = Incidence rate = 0.5% = 0.005

[tex]P(B\mid A)[/tex] = Percentage of the population that have the disease and will tests positive = 1 - 0.06 = 0.94

[tex]P\left (\overline{A} \right )[/tex] = P(no disease) = 1 - 0.005 = 0.995

[tex]P\left (B\mid \overline{A} \right )}[/tex] = P(positive [tex]\mid[/tex] no disease) = False positive = 0.04

From which we have;

[tex]P(A\mid B) = \dfrac{0.005 \times 0.94}{0.005 \times 0.94 +0.995 \times0.04} = 0.1056[/tex]

Therefore, the probability that a person who tests positive actually has the disease = 0.1056 or 10.56%

2) The parameters given are;

The number of shirts that Karla has = 10 shirts

The number of shorts that Karla has = 6 shorts

The number of pairs of sandals that Karla has = 3 pairs

Therefore;

The number of ways Karla can choose her shirts =  10 ways

The number of ways Karla can choose her shorts =  6 ways

The number of ways Karla can choose her pair of sandals =  3 ways

The total combination of outfits Karla can make = 10 × 6 × 3 = 180 combinations

3) We have;

The number of permutations of 10 numbers taking 4 at a time is given as follows;

n!/(n-r)! = 10!/(10-4)! = 10!/6! = 5040 pin numbers can be chosen

4) The number of ways the first second and the third can be awarded is 380×379×378 = 54439560 ways

5) The number of ways is 210×209×208×207×206 = 389283935040 ways.

Answer:

The Answer would be the Top Right

Step-by-step explanation:

One Pen equals 2x a Pencil

1 Pen + 1 Pencil = $2.10

1 pen would equal 2 pencils so you have 3 pencils which equal 2.10

Divide 2.10 by 3 to get .70

its distributed equally.

p/3 = 2.10

Answer:

Top Right

Step-by-step explanation:

Hope this helps :)

Answer:

37.5 mL

Step-by-step explanation:

If x is the volume of water, then:

(0.45)(300) + (0)(x) = (0.40)(300 + x)

135 = 120 + 0.40x

15 = 0.40x

x = 37.5

The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

45% of a 300ml drink is concentrated pineapple juice.

If x is the volume of water, then we get;

(0.45)(300) + (0)(x) = (0.40)(300 + x)

135 = 120 + 0.40x

15 = 0.40x

x = 37.5

Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.

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Answer:

4

Step-by-step explanation:

Let the number be x.

(11+41)/x = 13

52/x = 13

13x = 52

x = 52/13

x = 4

The number, if Eleven plus forty-one is divided by a number, and the result is 13, is 4.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

Eleven plus forty-one is divided by a number, and the result is 13,

Assume the number is x,

Write the equation as shown below,

11 + 41 / x = 13

52 / x = 13

x = 52 / 13

x = 4

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Answer:

A = 25pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 5

A = pi 5^2

A = 25pi

Answer:

I'm not sure, but I think it is (0, -6).

Answer:

A = 60 cm²

Step-by-step explanation:

Finding BC using Pythagorean Theorem:

=> [tex]c^2= a^2+b^2[/tex]

=> [tex]13^2 = a^2+5^2[/tex]

=> 169-25 = [tex]a^2[/tex]

=> [tex]a^2[/tex] = 144

Taking sqrt on both sides

=> BC = 12

So,

BC = CD = 12

=> BD = BC+CD

=> BD = 12+12

=> BD = 24

Now, The area:

=> Area of a Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where BASE = 24, HEIGHT = 5

=> A = 1/2(5)(24)

=> A = 1/2(120)

=> A = 60 cm²

Step-by-step explanation IN triangle abc,

AC² = AB² + BC² (Phythogoras theorem)

13² = 5² + BC²

169 - 25 = BC²

144 = BC²

BC² = 144

BC = 12 (APPLAYING SQAURE ROOT)

Then in triangle ADC,

AD² = AC² + CD²

AD² = 13² + 12² (CD = BD - BC)

AD² = 169 + 144

AD = 17cm (aprox.)

Therefore area of triangle abd = 1/2× length × side = 1/2× 5 ×24 = 5 × 12 = 60cm

Answer:

The correct option is A

Step-by-step explanation:

The standard form of equation of circle is written as:

(x - a)² + (y - b)² = r²

Where centers is given as (a,b)

The equation of the circle given in the question is:

x² + y² = 7

If the circle is translated T(-8,4), it means that the centre of translated circle lies at (-8,4).

So standard form of equation of circle is:

(x + 8)² + (y - 4)² = 7

Simplifying the equation:

(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7

x² + 64 + 16x + y² + 16 - 8y = 7

x² + y² + 16x - 8y + 80 = 7

x² + y² + 16x - 8y + 80 - 7 = 0

x² + y² + 16x - 8y + 73 = 0

which is the general form of the equation of circle

Answer:

the mean (average) is 4

Step-by-step explanation:

add all the numbers together (100) and then divide by the number of patients (25).

Answer:

Option C. Substitute -x for x and simplify f(-x)

Step-by-step explanation:

The rule for reflection over y axis is:

Substitute -x for x and simplify f(-x)

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

While reflecting a point with coordinates as (x, y), over y axis, the rule followed is

(x, y) = (-x, y)

The given function is,

f(x) = x²

So, reflecting it over y axis, we have to replace x with -x

(x, f(x)) = (-x , f(x))

So, the new reflected function is

f(-x) = -x²

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Answer:

B. y=7x+2

Step-by-step explanation:

Answer:

I think it’s parallel

Step-by-step explanation:

Correct me if this is wrong

Answer:

plz mark me brainliest

Step-by-step explanation:

parallel is the answer confirmed

proof: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.

hope it halps

Answer:

y = 2x - 1

Step-by-step explanation:

So we can use the formula Y2 - Y1 / X2 - X1

So 7- 3 = 4 and 4 - 2 is 2 and 4/2 is 2 so the slope is 2.

If we keep using the slope we can tell that the y intercept is 1.

Answer:

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Step-by-step explanation:

In a triangle, the sum of all inside angles must be 180 degrees.

In this question:

The inside angles are: x, x + 50 and 180 - 3x.

Then

x + x + 50 + 180 - 3x = 180

2x - 3x = -50

x = 50

So

x degrees = 50 degrees.

x + 50 degrees = 50  + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Answer:

4

Step-by-step explanation:

Answer:

B and E are the correct answers.

Step-by-step explanation:

By using the slope formula of y₂₋y₁ / x₂₋x₁ you can find out that the slope is ₋7/4.

Next pick a point to put into point-slope form.

Point-slope form is y₋y₁ = m(x₋x₁) where y₁ and x₁ are a point on the graph and m is the slope.

Substitute both points into the formula (separately) to get B and E as your answers.

Hope this helps!

Answer:

[tex]2^{5}[/tex]= 32

[tex]5^{-2}[/tex]= 1/25

[tex]5^{3}[/tex]=125

[tex]2^{-4}[/tex]=1/16

i hope this helps, the reason there are fraction is because of the negative exponent. To solve those you need to find the normal answer(with no negative exponent) and put it over 1. Doing that switches it to a positive response(needed).

Answer: The answers are in the steps.

Step-by-step explanation:

[tex]2^{5}[/tex]  = 2*2* 2 *2 *2  = 32  

[tex]5^{-2}[/tex]  =  [tex]\frac{1}{5*5}[/tex]= [tex]\frac{1}{25}[/tex]    

[tex]5^{3}[/tex] = 5 * 5 *5 = 125

[tex]2^{-4}[/tex] = [tex]\frac{1}{2*2*2*2} = \frac{1}{16}[/tex]  

2^5  →  32

5^-2  → 1/25

5^3 →  125

2^-4  → 1/16