Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept

Answer:

Mixed fraction:    -15  1/8

Improper fraction:   121/8

Answer:

A = 432 ft^2

Step-by-step explanation:

\(A=\frac{a+b}{2} *h\)

A = (32+16)/2 * 18

A = 48/2 * 18

A = 24*18

A = 432 ft^2

Based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.

To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.

If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.

Therefore, based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

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The product of the given expression in simplest form is 4 / (3y(y + 1)).

Multiplying fractions can be defined as the product of a fraction with a fraction or with an integer.

When multiplying fractions, we multiply the numerators and multiply the denominators. So, applying this to the expression given, we get:

(36y / (y^2 - 1)) * ((y^2 - y) / (27y^2))

Now, we can simplify the expression by factoring and canceling common factors in the numerator and denominator.

First, we can factor the denominator of the first fraction as the difference of two squares:

y^2 - 1 = (y + 1)(y - 1)

Then, we can factor the numerator of the second fraction by taking out the common factor of y:

y^2 - y = y(y - 1)

Now we have:

(36y / (y + 1)(y - 1)) * (y(y - 1) / (27y^2))

Next, we can cancel the factor of (y - 1) in the numerator and denominator of the expression:

(36y / (y + 1)) * (y / (27y^2))

We can simplify further by canceling a factor of y in the numerator and denominator, giving:

(36 / (y + 1)) * (1 / (27y))

Multiplying the two fractions gives:

36 / (27y(y + 1))

Finally, we can simplify the expression by dividing both the numerator and denominator by 9:

4 / (3y(y + 1))

Therefore, the product of the given expression in simplest form is 4 / (3y(y + 1)).

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We are given the following equation:

If we square the left side we get:

Since the square and the square root cancel each other we get:

Since we can't simplify any further this is the expression we get on the left side.

Now, We take the square of the right side, we get:

Now, to expand the expression we use the following relationship:

Applying the result to the given expression we get:

Since we can't simplify any further this is the expression for the right side.

answer: 1/2

Step-by-step explanation:

Assuming this is a 6 sided number dice The answer would be 3/6 but in simplest form 1/2 because 2, 3, and 5 is half of the numbers on a dice example: 2, 3, 5, 1, 4, and 6 are all the possibilities Hope this helps!

A. The total value of the loan with quarterly compounded interest is $52,400.

B. The total value of the loan with monthly compounded interest is $52,010.04

Part A: Total value of the loan with the quarterly compounded interest

To find the total value of the loan, we'll use the formula for compound interest:

A = P * (1 + r/n)^(nt)

Where:

A = final amount (loan + interest)

P = principal amount (initial loan) = $20,000

r = interest rate = 7% = 0.07

n = number of times compounded per year = 4 (quarterly)

t = number of years = 10

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/4)^(4 * 10)

A = $20,000 * (1.0175)^40

A = $20,000 * 2.620075

A = $52,401.51

Rounding to the nearest hundred, the total value of the loan with quarterly compounded interest is $52,400.

Part B: Total value of the loan with the monthly compounded interest

To find the total value of the loan with monthly compounded interest, we'll use the same formula with a different value of n:

A = P * (1 + r/n)^(nt)

Where:

n = number of times compounded per year = 12 (monthly)

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/12)^(12 * 10)

A = $20,000 * (1.005833)^120

A = $20,000 * 2.600502

A = $52,010.04

Rounding to the nearest hundredth, the total value of the loan with monthly compounded interest is $52,010.04

The difference between the two loans is $52,401.51 - $52,010.04 = $391.47

The difference between the two loans is due to the higher frequency of compounding in the monthly compounded interest loan. The interest is compounded more times per year, so the interest is accumulating on the interest more quickly, leading to a higher overall interest charge.

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Answer:

B) 37

Step-by-step explanation:

Answer:

Society of the world is a better policy than the one that has been in the last year of the year and the best ever friend a person could hope for a good friend of mine and her family is a great place to work

The true statements are;

1) AB + BC = AC

Length of BC = |6 - 1|

2) ∠JMK = 50°

∠KML = 35°

1) From the given number line interval, we can deduce the interpretation as follows;

AB + BC = AC

Length of BC = 5 units or |6 - 1|

Length of B = 3 Units

2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;

6x + 2 + 4x + 3 = 85

10x + 5 = 85

10x = 85 - 5

10x = 80

x = 80/10

x = 8°

Thus;

∠JMK = 6(8) + 2

∠JMK = 50°

∠KML = 85° - 50°

∠KML = 35°

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Answer:

E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.

Step-by-step explanation:

Hello!

The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.

To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.

Be the variables:

X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.

X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.

X[bar]₁= 2.3 inches

X[bar]₂= 2.1 inches

The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches

Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.

The claims are:

A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.

INCORRECT, the given values are sample measures, you cannot reach any valid conclusions by simply comparing them.

B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.

INCORRECT, the confidence interval provides a range of values for the estimated parameter, it is equally probable that the parameter is closer to the lower bond, the upper bond, or in the middle of the interval.

C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.

INCORRECT, same as in item A, you cannot reach any valid conclusion by just comparing the sample values, a propper hypothesis test is needed.

D) The interval cannot be interpreted because negative measurements are not possible.

INCORRECT, this interval vas made to estimate the difference between the two means, therefore if one value is less than the other it is possible to observe negative values.

If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.

E) Because the interval contains 0, there may be no difference in mean carbonation levels.

CORRECT

If you were to test the hypotheses

H₀: μ₁-μ₂=0

H₁: μ₁-μ₂≠0

Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.

If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.

If the interval doesn't include the zero, then you reject the null hypothesis.

I hope this helps!

E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.

The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.

To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.

Be the variables:

X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.

X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.

X[bar]₁= 2.3 inches

X[bar]₂= 2.1 inches

The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches

Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.

The claims are:

A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.

B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.

C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.

D) The interval cannot be interpreted because negative measurements are not possible.

If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.

E) Because the interval contains 0, there may be no difference in mean carbonation levels.

Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.

If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.

If the interval doesn't include the zero, then you reject the null hypothesis.

Thus the interval contains 0, it is possible that there is no difference in mean carbonation levels.

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Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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Answer:

2/8 = 1/4

4/8 = 1/2

6/10 = 3/5

Step-by-step explanation:

Divide both numbers by the same number. For example, 6 ÷ 2  and 10 ÷ 2 would equal 3/5.

-kiniwih426

X varies directly as y , that x = 9 when y = 3,the value of x when y = 12 by  the constant of Variation , value of x is 36.

X  varies directly as y, it means that there is a constant ratio between x and y. We can express this relationship using the formula:

x = ky

where k is the constant of variation.

To find the value of k, we can use the given information that x = 9 when y = 3. Substituting these values into the formula, we have:

9 = k * 3

Solving for k, we divide both sides of the equation by 3:

k = 9/3

k = 3

Now that we have the value of k, we can find x when y = 12 by substituting it into the formula:

x = 3 * 12

x = 36

Therefore, when y = 12, the corresponding value of x is 36.

if x varies directly as y and we are given that x = 9 when y = 3, we can find the value of x when y = 12 by determining the constant of variation (k) and using the formula x = ky. In this case, the constant of variation is 3, so when y = 12, x equals 36.

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Answer:

\(132m^2\)

Step-by-step explanation:

\(3*4=12\)

\(5*10=50\)

\(4*10=40\)

\(3*10=30\)

Add all these up

\(12+50+40+30=132\)

Hope this helps

Answer:

The surface area is 132.

Step-by-step explanation:

6+6+50+40+30 is equal to 132, how I got this answer was I first multiplied 4 and 3 then divided by 2 (since triangles are equal to base times height divided by 2), since there are two triangles there will be two sixes, the length is 10 and the width is 5 so I got 50, the length is 4 and the width is 10 so I got 40, lastly the length is 10 and the height is 3 so I got 30.

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Define Decimal place?

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Answer:

104

Step-by-step explanation:

(8 * 10) + ((6 * 8)/2) = 104

Answer:

104

Step-by-step explanation:

You can think if the shape as a rectangle plus a triangle.

The rectangle has length 10 ft and width 8 ft.

The triangle has base 6 ft and height 8 ft.

A = LW + ½bh

A = 10 ft × 8 ft + ½(6 ft × 8 ft)

A = 80 ft² + 24 ft²

A = 104 ft²

You can also think of the entire shape as a trapezoid.

The bases measure 16 ft and 10 ft.

The height measures 8 ft.

A = ½(b1 + b2)h

A = ½(16 ft + 10 ft) × 8 ft

A = ½(26 ft)(8 ft)

A = 104 ft²

Answer: 104 ft²

Answer:

\(option \: b. \: is \: right.\)

Answer:

the is 28 according to bdmass rule

Answer:

r = 90

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

(r - 74)/4 = 4

Step 2: Solve for r

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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Answer:

= -2

-7(5+3)+216/4

-7(8)+216/4

-56+54

= -2

Answer:

couldnt tell ya

Step-by-step explanation:

not enough info

Step-by-step explanation:

Since the lines are parallel, they got equal slopes

m1 = m2

First, what's the slope of the first line y = ¾x - 4

y = ¾x - 4 compared to y = mx + c

yh, m = ¾ [I hope u understand that... That's coefficient]

m1 = ¾

Then, m1 = m2 = ¾ [parallel lines]

Yh, we use:

y - y1 = m(x - x1)

y - 5 = ¾( x - (-3) )

4(y - 5) = 3(x + 3)

4y - 20 = 3x + 9

4y = 3x + 29

y = ¾x + 29/4

The equation is y = ¾x + 29/4

Answer:

\(y=\dfrac{3}{4}x+\dfrac{29}{4}\)

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given line:

\(y=\dfrac{3}{4}x-4\)

The given line is in slope-intercept form. Therefore:

The slopes of parallel lines are the same.

Therefore, the slope of a line parallel to the given line is also 3/4.

Given the parallel line passes through the point (-3, 5), substitute this and the found slope into the slope-intercept formula and solve for b:

\(\implies y=mx+b\)

\(\implies 5=\dfrac{3}{4}(-3)+b\)

\(\implies 5=-\dfrac{9}{4}+b\)

\(\implies 5+\dfrac{9}{4}=-\dfrac{9}{4}+b+\dfrac{9}{4}\)

\(\implies b=5+\dfrac{9}{4}\)

\(\implies b=\dfrac{20}{4}+\dfrac{9}{4}\)

\(\implies b=\dfrac{20+9}{4}\)

\(\implies b=\dfrac{29}{4}\)

Therefore, the equation of the line that passes through the given point and is parallel to the given line in slope-intercept form is:

\(y=\dfrac{3}{4}x+\dfrac{29}{4}\)

Answer:

Below in bold.

Step-by-step explanation:

12.054 is about 0.9612 of 12.54.

12.054 is 12.54 - 12.054 = 0.486 less than 12.54.

Step-by-step explanation:

here is the answer hope it helps

Answer:

none im pretty sure

Step-by-step explanation:

only when its -1 in front of it tho

The given equation is expressed as

- 4(2x + 3) = 2x + 6 - (8x + 2)

The first step is to expand the brackets by multiplying the terms inside the bracket by the term outside. It becomes

(- 4 * 2x) + (- 4 * 3) = 2x + 6 - 8x - 2

- 8x - 12 = 2x + 6 - 8x - 2

The next step is to collect like terms. It becomes

- 8x + 8x - 2x = 6 - 2 + 12

- 2x = 16

Dividing both sides of the equation by - 2, it becomes

- 2x/- 2 = 16/-2

x = - 8

Answer:

25% is the discount rate in percentage form

Step-by-step explanation:

the discounted price will be 3525 and the discount rate in percent is 25%

Answer:

11 by 2

Step-by-step explanation: