So what s the meaning for X and Y

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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11) Given,

To find: Evaluate.

Solution:

Multiply both numerator and denominator by the conjugate of

Now,

Put x = 3 in the expression.

Thus, the answer is

The percentages are given as follows:

a) Over 16.8 pounds: 4.85%.

b) Under 13.8 pounds: 73.24%.

c) Between 13.8 and 16.8 pounds: 21.91%.

We first must use the z-score formula, as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).

The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.

The mean and the standard deviation for this problem are given as follows:

\(\mu = 12, \sigma = 2.9\)

Item a:

The proportion is one subtracted by the p-value of Z when X = 16.8, hence:

Z = (16.8 - 12)/2.9

Z = 1.66.

Z = 1.66 has a p-value of 0.9515.

1 - 0.9515 = 0.0485, hence the percentage is of 4.85%.

Item b:

The proportion is the p-value of Z when X = 13.8, hence:

Z = (13.8 - 12)/2.9

Z = 0.62.

Z = 0.62 has a p-value of 0.7324.

Item c:

The proportion is the subtraction of the p-values, hence:

0.9515 - 0.7324 = 0.2191 = 21.91%.

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The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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We know that the circumference (C) of a circle can be calculated using the formula:

C = 2πr, where r is the radius of the circle.

We are given that the circumference of the circle is 2.20 cm, so we can use this to solve for the radius (r):

C = 2πr

2.20 = 2πr

r = 2.20 / (2π)

r ≈ 0.350 cm

Therefore, the radius of the circle is approximately 0.350 cm.

To find the area (A) of the circle, we can use the formula:

A = πr^2

Substituting the value we found for r:

A = π(0.350)^2

A ≈ 0.385 cm^2

Therefore, the area of the circle is approximately 0.385 cm^2.

Please mark this answer as brainliest if possible.

Answer:

Step-by-step explanation:

Question :-

The circumference of the circle is 220 cm.

Find :

a) Radius

b) Area of the Circle

Solution :

a)

Circumference of circle = 2πr

\( \longrightarrow \: \: 220 = 2 \pi r \\ \\ \longrightarrow \: \: \frac{220}{2} = \pi r \\ \\ \longrightarrow \: \: 110 = \frac{22}{7} × r \\ \\ \longrightarrow \: \: r = 110 \times \frac{7}{22} \\ \\\longrightarrow \: \: r = \frac{770}{22} \\ \\ \longrightarrow \: \: r = 35 \: cm \\ \)

b)

Area of circle = πr²

\(\longrightarrow \: \: \frac{22}{7} \times 35 \times 35 \\ \\ \longrightarrow \: \:22 \times 5 \times 35 \\ \\ \longrightarrow \: \:3850 \: {cm}^{2} \\ \)

Hence,

a) Radius of circle is 35 cm.

b) Area of the Circle is 3850 cm²

A slope is also known as the gradient of a line. The slope of the line is 1.4.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

Natasha drew a line on the coordinate plane that passes through the point (15,13) and has a y-intercept of -8. Since the coordinate of a point on the line is known the value of the y-intercept is known, therefore, we can write,

13 = m15 - 8

13 + 8 = 15m

21 = 15m

m = 7/5 = 1.4

Hence, the slope of the line is 1.4.

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Answer:

6 is the answer

Step-by-step explanation:

The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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Answer:

m = -1

slope = -1

Step-by-step explanation:

Answer:

j = 38

Step-by-step explanation:

j/-2 + 7 = -12

first subtract 7 from both sides

j/-2 = -19

then multiply both sides by -2

j = 38

Answer:

18 pupils

Step-by-step explanation:

11 like cola

32 like other stuff

11+32=43 - 50-43=7

therefore 11+7=18

18 students like cola the best

We have that Linda's net and expression incorrect.

Now, With the Expression of the surface area of attic

45 (40 + 25 + 25) + 1/2 (40 x 15)

Hence, Surface area is,

X = 4050 + 600

X = 4650 feet²

Hence, The answer is No, Because Her expression for the triangles are incorrect;

1/2(40 x 15)

Instead of,

1/2 x 40 x 15

Hence, Linda's net and expression incorrect,

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Complete question is,

Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.

She needs to find the approximate surface area of the attic, including the walls, floor, and ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes the expression below to represent the surface area of the attic. Are Linda's net and expression correct?

The saving $100 at the end of each quarter for 15 years in an ordinary annuity that earns 5.4% interest, compounded quarterly, the Smith family would have $29,161.66 to travel the world.

An ordinary annuity is a stream of regular payments that are paid at the end of each period, such as quarterly, annually, or monthly. The Smith family intends to invest in an ordinary annuity to save money for a trip around the world.To compute the future value of a regular annuity,

the following formula is used:FV= PMT [ (1+r/n)^n*t - 1 ] / (r/n)where FV = future value, PMT = payment amount, r = interest rate per compounding period, n = number of compounding periods per year, and t = number of years of the investment.The Smith family's ordinary annuity has a 5.4% interest rate, compounded quarterly. As a result, the quarterly interest rate is: 5.4% / 4 = 1.35%.

The interest rate per compounding period is then converted to decimal form: 1.35% / 100 = 0.0135.The number of compounding periods per year is calculated by dividing the annual interest rate by the quarterly interest rate: 5.4% / 1.35% = 4.The number of payments the Smith family would make over a period of 15 years is: 15 years * 4 payments/year = 60 payments.

Finally, the future value of the annuity is calculated using the formula:FV= PMT [ (1+r/n)^n*t - 1 ] / (r/n) = PMT [(1+0.0135)^60 - 1]/ (0.0135)If the Smith family wants to save $100 at the end of each quarter, the calculation is as follows:FV = $100 [ (1+0.0135)^60 - 1 ] / (0.0135) = $29,161.66

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The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

\(\frac{5}{36}\)

Step-by-step explanation:

probability of desired outcome:

Number of desired outcomes/number of total outcomes

To find the numerator just count the number of times the condition is satisfied

I get 5

1,5

2,4

3,3

4,2

5,1

The number of total outcomes is just 6² or 36

So the final answer is just 5/36

Answer:

hi, I think the answer is x^2-2x+1 I don't see that option there but I'm guessing that was suppose to be option OA.

explanation:

(x-1)^2 is basically

(x-1)×(x-1)

rest of the explanation is in the photo

hope this helps

Answer:What do u need help with?

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

First angle 1 and 2 add up to 180 and then angle 2 and 3 also add up to 180. So angle 2 is common hence both are congruent to each other.

Answer:

c because if you subtract

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

The payback period for Project A is 3 years, and the payback period for Project B is also 3 years.

To calculate the payback period for Project A and Project B, we need to determine the time it takes for the cumulative cash flows to equal or exceed the initial investment of $40,000.

For Project A:

Year 1 cash flow: $42,000

Year 2 cash flow: $22,000

Year 3 cash flow: $10,000

To find the payback period, we start by subtracting the cash flows from the initial investment until we reach a cumulative cash flow equal to or greater than $40,000:

Year 1: $40,000 - $42,000 = -$2,000

Year 2: -$2,000 + $22,000 = $20,000

Year 3: $20,000 + $10,000 = $30,000

The cumulative cash flow reaches $30,000 in Year 3. However, it does not exceed the initial investment of $40,000. Therefore, we can estimate the payback period as follows:

Payback period for Project A = 2 years + ($40,000 - $30,000) / $10,000

= 2 years + 1 year

= 3 years

For Project B:

Year 1 cash flow: $40,000

Year 2 cash flow: $21,000

Year 3 cash flow: $15,000

Using the same process as above, we calculate the cumulative cash flows:

Year 1: $40,000 - $40,000 = $0

Year 2: $0 + $21,000 = $21,000

Year 3: $21,000 + $15,000 = $36,000

The cumulative cash flow reaches $36,000 in Year 3, which is greater than the initial investment. Therefore, the payback period for Project B is:

Payback period for Project B = 3 years

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openThe equation must be

y = 6 x + 120

The slope is 6 and the y-intercept is 120

The mistake is

He chooses a -ve slope because he said he will loss 6

Loss means (-) and the value will decrease

So the real-world situation is

I opened a saving account with $120 worth of birthday money and I have $6 a month

Choose add

They want us to correct the wrong

So we must say positive slope and increasing

The missing quantities are

Social Security= $217

Medicare = $‭50.75‬

Net Pay is $‭2,633.67‬

First, Taxable income is therefore;

= 3,500 - (76.90 x 4 )

= $‭3,192.4‬0

Federal Income Tax (FIT).

With taxable income of $‭3,192.4‬0, the tax is $565.15 plus 28% of anything above $‭3,073.

= 565.15 + (28% x (‭3,192.4‬0 - 3,073))

= 565.15 + 33.43

= $‭598.58

and, Social Security

= Gross pay x 6.2%

= 3,500 x 6.2%

= $‭217‬

and, Medicare

= 3,500 x 1.45%

= $‭50.75‬

Then, the Net Pay

= 3,500 - 598.58 - 217 - 50.75

= $‭2,633.67‬

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Answer:

a is arithmetic sequence.

Step-by-step explanation:

option a is an arithmetic sequence because we use d=t2-t1 formula

so like wise,

8-2=6

14-8=6

20-14=6

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

Answer:

Equilateral

Step-by-step explanation:

If the sides' lengths are equal then it's an equilateral triangle. Scalenes have no equal sides and isosceles have 2 equal sides

Answer:

x=143

Step-by-step explanation:

scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143