Could someone help with this math??!

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The number of pounds when the costs of shipping with UPS and FedEx are the same is 31.25 pounds.

Based on the information given, the cost for ground shipping with FedEx will be 9.50 + 0.16x

The cost for ground shipping with UPS will be 8.25 + 0.20x

Therefore, in order to know the number of pounds when the costs of shipping with UPS and FedEx are the same, we'll have to equate both equations and this will be:

8.25 + 0.20x = 9.50 + 0.16x

Collect like terms

0.20x - 0.16x = 9.50 - 8.25

0.04x = 1.25

x = 1.25/0.04

x = 31.25

Therefore, at 31.25 pounds, the costs of shipping with UPS and FedEx are the same.

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Answer:

9.50 + 0.16x = 8.25 + 0.20x

Step-by-step explanation:

The personal income in the United States can be modeled by a linear equation in the form y = mt + b, where m is the slope of the line and b is the y-intercept. We can use the given information to find the slope and y-intercept of the line.

First, we need to find the slope of the line. We can use the formula m = (y2 - y1) / (t2 - t1), where (t1, y1) and (t2, y2) are two points on the line. Using the given information, we can plug in the values to get:

m = (14,167 - 12,430) / (2013 - 2008)
m = 1,737 / 5
m = 347.4

Next, we need to find the y-intercept of the line. We can use the equation y = mt + b and plug in the values for one of the points and the slope to solve for b. Using the point (2008, 12,430), we get:

12,430 = 347.4(2008) + b
b = 12,430 - 696,691.2
b = -684,261.2

Therefore, the equation for the personal income in the United States is y = 347.4t - 684,261.2. We can use this equation to find the personal income for any given year. For example, to find the personal income in 2010, we can plug in t = 10 and solve for y:

y = 347.4(10) - 684,261.2
y = 3,474 - 684,261.2
y = -680,787.2

So the personal income in 2010 was approximately $680,787.2 billion.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

$3.11

Step-by-step explanation:

It is given that,

Salvador bought 6 lbs of coffee for $18.66.

We need to find the unit price per pound.

The unit price per pound is calculated by dividing total cost by 6 as follows :

\(C=\dfrac{18.66}{6}\\\\=\$3.11\)

Hence, the unit price per pound is $3.11

Answer:

8

Step-by-step explanation:

yeah-ya........ right?

Answer:

3/7

Step-by-step explanation:

430 +200 = 630   (630 people in all)

430-160 =270 (270 men  NO WHITE CAR)

        270/630  =    3/7

Answer:

11 inches

Step-by-step explanation:

90 divided by 18 is 5 so each inch is worth 5 cents so 55 cents would give you 11 inches of wire because 55/5 is 11

Answer:

w^16

Step-by-step explanation:

you have to multiply the exponents when this happens so 4*4=16

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

$19 discounted. The item will costs about $76

Step-by-step explanation:

20% = 0.20

95 x 0.20 = 19

95 - 19 = 76

The production costs include fixed and variable costs, it can be written as:

Where x is the number of produced books.

Now, the money from sales can be written as:

To find how many books must the publisher produce and sell so that the production costs will equal the money from sales, you have to equal production costs to money from sales and solve for x:

Thus, the number of books the publisher has to produce and sell is 3128.

In arithmetic, a shape is translated when it is moved up, down, left or right. The translated shapes are congruent to the original shapes because they appear to be the same size. Just one or more of their routes have been changed. No changes to the shape are made because it is simply being moved from one location to another.

By utilizing the aforementioned guidelines, we can move the provided graph to the left, right, up, or down and graph the translated graphs. The coordinates of some points on a graph can be used to translate a graph as an alternative to this. Translation f(x + k) + C for a function graph To get the new x and y coordinates of each point when the graph of the function f(x) is supplied, simply select a few key spots on the graph (where the shape is changing or turning) and proceed as follows.

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The composite mapping (f o g)(x) ≥ 3 for the functions f(x) = 2x + 1 and g(x) = x² + 1. And (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

A mapping is composite when the co- domain of the first mapping is the domain of the second mapping.

For the functions f(x) = 2x + 1 and g(x) = x² + 1

If x > 0, say x = 1 then;

g(x) = 1² + 1

g(x) = 2

(f o g)(x) = 2(2) + 1

(f o g)(x) = 4 + 1

(f o g)(x) = 5

If x = 0, then;

g(x) = 0² + 1

g(x) = 1

(f o g)(x) = 2(1) + 1

(f o g)(x) = 2 + 1

(f o g)(x) = 3

For the functions f(x) = x² and g(x) = x

If x < 0, say x = -0.5, then;

g(x) = -0.5

(f o g)(x) = (-0.5)²

(f o g)(x) = 0.25

In conclusion, the composite mapping (f o g)(x) ≥ 3 for functions f(x) = 2x + 1 and g(x) = x² + 1 and (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

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Answer: 0.664

Step-by-step explanation: 1.666/0.664=2.5

Answer:

your answer will be

1 -y is a variable

3- y is a term

4 -9 is a constant

6- 9 is a term

Step-by-step explanation:

if i'm wrong please correct me i hope i helped though

Answer:

the control

Step-by-step explanation:

sh==Dr has to have something to compare the subjects to

The limit of the sum (6xi-3)/n as n approaches infinity is 9, which means that as the number of subintervals in the interval [0,3] becomes larger and larger, the sum of the values (6xi-3)/n approaches 9.

The limit is a concept in mathematics that helps us understand what happens as a function or a sequence approaches a certain value.

In this particular problem, we are looking at the limit of a sum of values as the number of subintervals in the interval [0,3] approaches infinity.

The interval [0,3] is divided into n equal subintervals and a number xi is chosen arbitrarily in the ith subinterval. We then look at the sum of the values (6xi-3)/n for all n subintervals.

Mathematically, we can write this sum as:

S = (6xi-3)/n for i = 1, 2, ..., n

And the limit of S as n approaches infinity can be written as:

lim n -> infinity S = lim n -> infinity (6xi-3)/n

Now, we use the concept of a Riemann Sum to evaluate the limit of this sum. A Riemann Sum is a way of approximating the area under a curve by breaking it down into rectangles and summing their areas.

In our case, we can think of the sum S as a Riemann Sum for the function f(x) = 6x-3 over the interval [0,3]. As n approaches infinity, the width of the subintervals approaches 0, and the sum S approaches the definite integral of f(x) over [0,3].

Using the fundamental theorem of calculus, we can find the definite integral of f(x) over [0,3] as:

∫f(x)dx = 6x^2/2 - 3x evaluated from 0 to 3

And this value is 9, so the limit of S as n approaches infinity is 9.

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Answer:

D) (0,9.5) and (10,1.5)

Step-by-step explanation:

a line of best fit is a line that is drawn through the data points on the scatter plot. Option D is the only answer that draws a linear line through the data points.

Option A makes a short line above the points. if the line is not through the points, it doesn't work

Option B is drawing a positive line (as in it's increasing) and therefore cannot work

Option C draws a line below the points and does not represent the line of best fit for this scatter plot

Answer:

Step-by-step explanation:

We can eliminate options C and D quite quickly because factoring either one would have one equation be y = x and the other either y = 72x - 96 or y = 72x + 108. Neither of these added to x will give either option A or B

so that leaves E.

72x² – 204x + 144 = 0

we can find the zeros

x = (204 ± √(204² - 4(72)(144))) / (2(72))

x = (204 ± 12) / 144

x = 1.5

x = 4/3

so the equation has factors

(x - 1.5)(x - 4/3)

and therefore also a factor in their product

x² - (\(\frac{17}{6}\))x + 2

which is 1/72 of the original quadratic

so all factors of E are

72(x - 1.5)(x - 4/3)

now we need to distribute factors of 72 among the other two factors so that when we add them together the x¹ terms are either 16 or 17  and the x⁰ terms sum to -12. let "a" and "b" be the factors of 72.

ab = 72

a = 72/b

-1.5a - 4b/3 = -12

1.5a + 4b/3 = 12

1.5(72/b) + 4b/3 = 12

108/b + 4b/3 = 12

 324/b + 4b = 36

   324 + 4b² = 36b

        81 + b² = 9b

b² - 9b + 81 = 0

b = (9 ±√(9² - 4(1)(81))) / 2(1))

b = (9 ± √-243) / 2

as both of these roots are imaginary numbers

there is no valid solution to this problem as posed

IF we allow a slight edit to answer B, we can factor 72 into 9•8

y = 8(x - 1.5)    y = 9(x - 4/3)

y = 8x - 12       y = 9x - 12

so the sum of the two would be 17x - 24

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Answer:

A ≈ 346.36

Step-by-step explanation:

To find the answer, you must use the formula, A=πr²

Since only the diameter was provided, you need to divide it by 2 to find the radius. 21 divided by 2 equals 10.5, so that will be your radius.

Another formula that can be used while using only the diameter would be A= 1/4 π d²

Perpendicular lines always come together at a 90-degree angle.

What is perpendicular?

A perpendicular is a straight line in mathematics that forms a right angle (90 degrees) with another line. In other words, two lines are perpendicular to one another if they connect at a right angle.

A perfect 90° (degrees) angle, or a quarter turn, is referred to as a right angle in geometry and trigonometry. The angles next to each other are said to be at right angles if a ray is positioned so that its terminus is on a line and they are also equal. The word is a calque of the Latin angelus rectus, where rectus means "upright" and refers to a vertical basis line that is perpendicular to a horizontal baseline.

As the definition suggests the perpendicular lines will intersect with each other at a right angle.

Perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Hence, Perpendicular lines always come together at a 90-degree angle.

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Answer:

$225,004

Step-by-step explanation:

We have that the incremental costs are those that are incurred when the variations in costs caused by an increase in the activity or operations of the company.

Therefore, according to the information in the image, it would be that of the boxes of the total, so we will know the incremental total cost, it would be:

$ 94,068 + $ 57,200 + $ 36,868 + $ 13,000 + $ 23,868 = $ 225,004

Therefore, total Incremental Income is $ 225,004

Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.

The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.

If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:

P = (2b + t) - d

Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

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The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Answer:

$80 (I'm assuming you are looking for tip)

Answer:

1. 0.4(40%)

2.0.5(50%)

3.0.4(40%)

4.0.75(50%)

Answer:

1=0.4 in decimal. 40%

2=0.5 in decimal.50%

3=0.4 in decinal.40%

4=0.75in decimal . 75%

5=0.5 in decimal. 50%

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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