how many ounces is 5 3/4 cups​

Answer:

x = 10

Step-by-step explanation:

Begin by factorising the numerator/ denominator of the left side

x² - 14x + 49 = (x - 7)² ← perfect square

x² - 49 = (x - 7)(x + 7) ← difference of squares

Thus left side becomes

[tex]\frac{(x-7)^2}{(x-7)(x+7)}[/tex] → x ≠ ± 7

Cancel (x - 7) on numerator/denominator, leaving

[tex]\frac{x-7}{x+7}[/tex]

Returning to the equation, that is

[tex]\frac{x-7}{x+7}[/tex] = [tex]\frac{3}{17}[/tex] ( cross- multiply )

17(x - 7) = 3(x + 7) ← distribute both sides

17x - 119 = 3x + 21 ( subtract 3x from both sides )

14x - 119 = 21 ( add 119 to both sides )

14x = 140 ( divide both sides by 14 )

x = 10

let's firstly convert the mixed fraction to improper fraction and then divide.

[tex]\bf \stackrel{mixed}{2\frac{5}{8}}\implies \cfrac{2\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{21}{8}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \cfrac{7}{10}\div \cfrac{21}{8}\implies \cfrac{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{5}{~~\begin{matrix} 10\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{4}{~~\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 21 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{4}{15}[/tex]

Answer: y= -x + 15

Step-by-step explanation:

1.) Put the equation in 1 line: y= x + 3 - 2x + 12

2.) Subtract and add the x's together and the whole numbers together. (1x-2x) (3 + 12)

3.) Put the whole equation together again. y= -x + 15

Answer:

75.2 °F

Step-by-step explanation:

(24°C × 9/5) + 32 = 75.2°F

Answer:

y

Step-by-step explanation:

Answer:

radius^2 = 3 * Volume / (PI * height)

radius^2 = 3 * (142 cc / 3.14159265 * 8.5)

radius^2 = 3 * (142 cc / 26.703537525 )

radius^2 = 15.9529425493

radius = 4.0 cm

Step-by-step explanation:

Final answer:

The radius of a cone-shaped paper cup with a volume of 142 cubic centimeters and height of 8.5 centimeters is approximately 4 centimeters when rounded to the nearest centimeter.

Explanation:

To determine the radius of a paper cup that is a right circular cone with a given volume, we will use the formula for the volume of a cone V = (1/3) πr²h. The volume, V, is provided as 142 cubic centimeters, and the height, h, is 8.5 centimeters.

Rearrange the formula to solve for the radius, r, as follows:

Divide both sides by π and 8.5 to isolate ¹⁄₃r² on one side.

Multiply both sides by 3 to get rid of ¹⁄₃.

Take the square root of both sides to solve for r.

Once we have the value of r, we round it to the nearest centimeter as the question asks for an approximation to the nearest whole number.

Let's perform the calculation:

V = (1/3)πr²(8.5) => 142 = πr²(8.5/3)

142 = (π × 8.5/3)r²

142 / (π × 8.5/3) = r²

r² ≈ 142 / (3.14159 × 8.5/3)

r² ≈ 15.91549431

r ≈ √15.91549431 ≈ 3.99 cm

Round r to the nearest centimeter: r ≈ 4 centimeters

Answer:

90

Step-by-step explanation:

The mean is measured as

mean = [tex]\frac{score}{count}[/tex]

After 5 tests the mean is 84, that is

[tex]\frac{score}{5}[/tex] = 84 ( multiply both sides by 5 )

score = 420

let the sixth test score be x, then

[tex]\frac{420+x}{6}[/tex] = 85 ( multiply both sides by 6 )

420 + x = 510 ( subtract 420 from both sides )

x = 90

Require to score 90 on the sixth test

Reggie can make 120 distinct complete meals, each consisting of an entrée, a  side dish, and a dessert.

This is a rather simple and straightforward question.

If Reggie can make

5 Entrees

4 Side dishes

6 Desserts,

Then she can make 5 × 4 × 6 different distinct dishes.

5 × 4 × 6 = 120

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Answer:

The inequality that represents the solution of 8(6x − 7) < 5(9x − 4) is x < 12.

Step-by-step explanation:

Given 8(6x − 7) < 5(9x − 4)⇒ 48x - 56 < 45x - 20⇒ 48x - 45x < -20 + 56

⇒3x< 36 ⇒ x<36/3 ⇒ x<12.

Inequalities help us to compare two unequal expressions. The correct option is B.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be solved as,

8(6x − 7) < 5(9x − 4)

48x − 56 < 45x − 20

48x − 45x < 56 − 20

3x < 36

x < 36/3

x < 12

Hence, the inequality that represents all the solutions of 8(6x − 7) < 5(9x − 4) is x < 12.

The complete question is:

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)? A. x > 12 B. x < 12 C. x > 20 D. x < 20

Learn more about Inequality:

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Answer:5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 million

2 hundred thousand

5 ten thousand

4 thousand

1 hundred

0 ten

7 one

Answer:

The inequality is:

49.3+4.8r <74.5

The solution set is r < 5.25

Step-by-step explanation:

Answer:

The solution set is r < 5.25

and The inequality is:

49.3+4.8r <74.5

Step-by-step explanation:

Hi Im FREDDDDD

Answer:

A. The total cost of the small popcorns

Step-by-step explanation:

Let us suppose Trinity is going to the movies with [tex]x[/tex] number of friends, we know she will pay for only her own movie ticket hence cost of movie ticket will be a constant (say [tex]a[/tex]) for her expense and cost of popcorn will be price of one popcorn (say [tex]b[/tex]) multiplied by number of friends.

considering the situation, her expense will be given by the function-

[tex]f(x) = a + bx[/tex]

comparing this with the given function  [tex]8.5 + 6x[/tex], [tex]6x[/tex] will be the total cost of small popcorns.

Answer:

(-1,-5)

Step-by-step explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

From there we do the second translation: T<-6,2>

which means: 6 units to the left (in the horizontal direction) which takes us to  "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.

Therefore the new location is (-1,-5)

Answer:

The slope of the ladder to the building is 2/3

Step-by-step explanation:

* Lets explain how to find the the slope of the ladder

- A ladder leaning against the side of a building touches the building

 at a point 12 meters from the ground

* That means the height of the ladder (h) from the ground is 12 m

- The foot of the ladder is 18 meters from the base of the building

* That means the horizontal distance (d) on the ground between the

  ladder and the building is 18 m

- The slope of the ladder (m) , the height of the ladder (h) and the

  horizontal distance on the ground from the base of the ladder to

  the base of the building (d) can form a right triangle

∵ The slope of the ladder = the vertical distance/horizontal distance

∵ The vertical distance h is 12 meters

∵ the horizontal distance d is 18 meters

∴ The slope of the ladder [tex]m=\frac{12}{18}=\frac{2}{3}[/tex]

∴ The slope of the ladder to the building is 2/3

Answer:

2/3

Step-by-step explanation:

Its just as easy as it looks. Its 12/18, or Rise 12 and Run 18.

Solving would get you 2/3, so your slope is 2/3

Hey there!

The number of equal parts that something is evenly distributed into is the divisor.

Hope this helps!

There is no value that x cannot be for linear equations.

Thus, the domain is ALL REAL NUMBERS.

CHOICE B.

Answer:

B all real numbers

Step-by-step explanation:

Answer:

-2 5/14

Step-by-step explanation:

let's firstly convert the mixed fractions to improper fractions and then divide.

[tex]\bf \stackrel{mixed}{10\frac{2}{7}}\implies \cfrac{10\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{72}{7}}~\hfill \stackrel{mixed}{4\frac{4}{11}}\implies \cfrac{4\cdot 11+4}{11}\implies \stackrel{improper}{\cfrac{48}{11}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf -\cfrac{72}{7}\div -\cfrac{48}{11}\implies \cfrac{-72}{7}\div \cfrac{-48}{11}\implies \cfrac{\stackrel{3}{~~\begin{matrix} -72 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{7}\cdot \cfrac{11}{\underset{2}{~~\begin{matrix} -48 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{33}{14}\implies 2\frac{5}{14}[/tex]

Answer:

[tex] \frac{1}{2} = m[/tex]

Step-by-step explanation:

8x + 4y = 2

-8x - 8x

____________

4y = -8x + 2

__ _______

4 4

y = -2x + ½

↑

rate of change [slope]

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:

-2 → ½

I am joyous to assist you anytime.

Answer:

DNE (dose not exist)

Step-by-step explanation:

what you would do is just set both functions equal to each other and then solve for x. so set x+109=x+89. then get you numbers on one side and your x's on one side. so subtract x from on side getting x-x+89=109 now you subtract 89 from both sides getting x-x=109-89 getting 0= 20 0 dosen not = 20 so you would have zero there is no value that you could plug in for x to get them both equal

Answer:

70

Step-by-step explanation: the type of angle it is

Answer:

∠RPS = 70°

Step-by-step explanation:

∠RPT is a right angle and

∠RPS + ∠SPT = ∠RPT ← substitute values

∠RPS + 20° = 90° ( subtract 20° from both sides )

∠RPS = 70°

Answer:

C

Step-by-step explanation:

From the given options, only option E.7.777 is a repeating decimal because its decimal part '7' repeats indefinitely.

In mathematics, a repeating decimal is a decimal fraction that after some place repeats the same sequence of digits indefinitely. From the options given: A.-0347, B.3.611, C.-1.35, D.2.153, and E.7.777, we are looking for which numbers have decimal parts that repeat.

Option A.-0347 is not a repeating decimal because the decimal part '0347' does not repeat indefinitely. Option B.3.611 and Option D.2.153 also do not have repeating decimal parts.

Option C.-1.35 does not have a repeating decimal part either. However, Option E.7.777 is indeed a repeating decimal, as the decimal part '7' repeats indefinitely.

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Answer: 2, 6, 10, 14, 18, 22, 26, 30  have an equal number of odd and even factors.

Step-by-step explanation:

Since they want the same number of even and odd factors for numbers 1-30 then we can list the factors of only even numbers from 1-30

List factors of even  numbers 1-30

2,  4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

2)  1,2

4) 1,2,4

6) 1, 2, 3 6

And so forth for the rest of the numbers

you will notice that you add 4 each time untill you get to thirty which are numbers that have an equal number of odd and even factors.

Step-by-step explanation:

d = 4m +7n

d - 4m = 7n

(d -4m)/7 = n

d = 4m +7n

We need to isolate n.

d - 4m = 7n

(d - 4m)/7 = n

Done!

Answer:

Angle HAB and Angle FAE are congruent angles

Step-by-step explanation:

we know that

Two angles are supplementary if their sum is equal to 180 degrees

In this problem

m∠FAH+m∠HAB=180°  ----> by a linear pair

Remember that

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. A linear pair of angles must add up to 180 degrees

m∠FAH+m∠FAE=180°  ----> by a linear pair

therefore

m∠HAB=m∠FAE -----> by vertical angles

Angle HAB and Angle FAE are congruent angles

Answer:

<HAB is congruent with <FAE

NO CAP

Answer:

[8 + 113 • 5] - 8 + 11 =

[8 + 565] - 8 + 11 =

573 - 8 + 11 = 576

Answer: The answer would be 1.5

Step-by-step explanation: From 8-6 it is 10 hours. Then you go from 4 inches to 19 inches. So every 10 hours is 15 inches more of snow. If you divide 15 by 10 then it is 1.5

Answer:

I think the answer may be 12 minutes

Answer:

I think it is 12 mins

Answer:

Step-by-step explanation:

F = m / a

cross multiply

m = F /a

To solve F=ma for mass, divide both sides by acceleration to get m=F/a. For a wagon of 55 kg accelerating at 0.0255 m/s², the calculated force is 1.4025 newtons.

To solve the formula F=ma for mass (m), you need to isolate the variable m. This is done by dividing both sides of the equation by acceleration (a), thus the rearranged formula becomes m = F/a. When we apply this to a practical example, if a wagon with mass 55 kg accelerates at a rate of 0.0255 m/s², the force on the wagon can be calculated using the same formula. By substituting the values into the formula, the force F is found as F = 55 kg × 0.0255 m/s², which equals 1.4025 newtons (N).

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