Adnan pours out 18 servings of lemonade. Each serving contains 120 milliliters of lemonade.

How many liters of lemonade in all did Adnan pour out?


0.216 L

2.16 L

21.6 L

216 L

Answer:

[tex]\frac{12}{55}[/tex]

Step-by-step explanation:

To divide fractions, here are your steps:

1) Invert the fraction you are dividing by.

2) Multiply the numerators and denominators.

3) Simplify if necessary.

1)

[tex]\frac{3}{5}[/tex] / [tex]\frac{4}{11}[/tex]

2)

[tex]\frac{3 * 4}{5 * 11}[/tex] = [tex]\frac{12}{55}[/tex]

3)

Cannot be further simplified.

Answer:

12/55

Step-by-step explanation:

caculator

Answer:

x=7

Step-by-step explanation:

x+14=3x

shift x to the other side

14=3x-x

14=2x

2x=14

x=14/2

x=7

Checking:

x+14=3x

7+14=3(7)

21=21

The sum of a number and fourteen is less than or equal to three times the number x + 14 = 3x, x = 7.

Given Information:

The sum of a number and fourteen is less than or equal to three times the number.

Let' consider the number is x, then w get this equation,

x + 14 = 3x

shift x to the other side

14 = 3x - x

14 = 2x

2x = 14

Divide 2 on both side,

x = 14/2

x = 7

For checking this value,

x + 14 = 3x

7 + 14 = 3(7)

21 = 21

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Answer:

105. Alternate Interior Angles are Congruent. <3

Step-by-step explanation:

Alternate Interior Angles are Congruent <3 .In geometric terms, two sides of a polygon that share an endpoint make up an angle.

In geometric terms, two sides of a polygon that share an endpoint make up an angle. This angle is known as an internal angle for a simple polygon if a point within it is located inside the polygon, regardless of whether the polygon is convex or not. the inner of the two angles created where two polygonal sides meet, according to Wikipedia. any one of the four angles created when a third line cuts a pair of parallel lines.

inside angles The angles created within or inside of a shape are called interior angles. The interior angles in this case are ABC, BCA, and CAB.

Given ,

m<4=105

m<5=105

Therefore alternate interior angles is congruent to<3

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Answer:

[tex] - \frac{3}{2} [/tex]

Step-by-step explanation:

[tex]\textcolor{steelblue}{\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }}[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

[tex] = \frac{4 - 1}{0 - 2} [/tex]

[tex] = \frac{3}{ - 2} [/tex]

[tex] = \bf{- \frac{3}{2} }[/tex]

Answer:

36 passengers

Step-by-step explanation:

Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.

Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.

If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.

In 20 minutes, they can load

1.8 passengers/minute * 20 minutes = 36 passengers

It took both Maria and Sal 11.1 minutes to load 20 passengers

The number of passenger Maria loads each minute = 20 passengers/20 minutes = 1 passenger per minute

The number of passenger Sal loads each minute = 20 passengers/25 minutes = 0.8 passenger per minute

Let t represent the total time taken to load the 20 passengers, hence:

(1 passenger per minute × t minutes) + (1 passenger per minute × t minutes) = 20 passengers

t + 0.8t = 20

1.8t = 20

t =  11.11 minutes

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Answer:

8v3

Step-by-step explanation:

phythagorean theorm

The measure of x from the triangle is x = 4

A planar figure or polygon having three sides and three angles is called a triangle.

The internal angles of a triangle, which has three vertices, add up to 180 degrees.

Assume the triangle is ABC, with A + B + C equaling 180 degrees.

Triangle area equals (1/2) × Length x Base.

About a right triangle

According to the Pythagoras Theorem, If a2 + b2 = c2, then the hypotenuse2 = base 2 + height 2, making it a right triangle.

If a2 + b2 c2, the triangle is an acute triangle.

If a2 + b2 > c2, the triangle is sharp.

Given the data,

Let's use ABC to depict the triangle.

Now, the triangle's sides are measured in units of AB and y.

x units = BC

Moreover, AC = 8 units.

The trigonometric relationships show that sin = opposite / hypotenuse.

Hence, the definition of sin 30° is x / 8

With simplification, we have (1/2) = x / 8

8 is multiplied twice, giving us x = 8/2 x = 4 units.

Hence , the sides of the triangle are solved

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Answer:

∠ CPM  = 135°

Step-by-step explanation:

given AC = BC , then Δ ABC is isosceles with base angles congruent , then

∠ ABC = [tex]\frac{180-40}{2}[/tex] = [tex]\frac{140}{2}[/tex] = 70°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

∠ AMN + ∠ BPM = ∠ ABC , that is

25° + ∠ BPM = 70° ( subtract 25° from both sides )

∠ BPM = 45°

∠ CPM and ∠ BPM are adjacent angles on a straight line and sum to 180°

∠ CPM + 45° = 180° ( subtract 45° from both sides )

∠ CPM = 135°

9514 1404 393

Answer:

Step-by-step explanation:

A unit rate is a ratio. When dollars are involved, we usually want dollars in the numerator. When time is involved, we usually want time in the denominator.

__

rice: $9/(1.5 kg) = (9/1.5) $/kg = $6/kg

__

growth: (350 people)/(7 years) = (350/7) people/year = 50 people/year

Answer:

447 people

Step-by-step explanation:

382 plus 65 is 447.

Hey there!

Option answer: [tex]1 \frac{1}{2} \: \: cubic \: inches[/tex]

According to the title,

Volume = 12 × (1/2)[tex] {}^{3} [/tex]

=> 12 × 1/8

=> [tex] \frac{12}{8} [/tex]

=> [tex] \frac{3}{2} [/tex]

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

Answer:

d

Step-by-step explanation:

first i do my formula which is length x width x height

the length is 3 the width is 2 and the height is 2 so 3x2x2 is 12

so the answer is d

Answer:

Yes! Our total savings on gas proportional to the number of beverages you purchase.

Step-by-step explanation:

Here, each liter of gas costs $3.

Every beverage you purchase you save $0.20.

So, if you purchase for $9, you will save 3*$0.20  = $0.60

So, this is proportional because when increase in purchase, there is proportional increase in savings.

Answer:

The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Slope of a line is expressed according to the formula;

Slope m = Δy/Δx

Slope = y2-y1/x2-x1

Given the coordinates (–7, 4) and (2, –3), from the coordinates;

x1 = -7, y1 = 4, x2 = 3, y2 = -3

Substitute into the formula;

Slope = -3-4/3-(-7)

Slope = -7/3+7

Slope = -7/10

Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values

By what the question asks, I assume that this refers to getting the slope in a linear equation.

The correct option is:

She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.

A general linear equation is given by:

y = a*x + b

where a is the slope and b is the y-intercept.

We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Notice that the formula is the change in y-values with respect to the x-values,

So we can conclude that the correct option is:

"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."

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Answer:

above is the solution to the question

Answer:

the slope is 5

Step-by-step explanation:

-4 - 3 + x - 3x

-7 + x - 3x

-7 - 2x

advice: just combine like terms

Answer:

-7     -2x

Step-by-step explanation:

-4-3+x-3x

Combine like terms

-4-3    +x-3x

-7     -2x

Answer:

Congruent

Step-by-step explanation:

An angle is congruent if its corresponding angle is the same degrees.

It is supplementary if there are two angles that add up to 180°.

Answer:

m∠A = 150°

m∠B = 30°

m∠E = 110°

Step-by-step explanation:

Linear pair:

⇒ m∠A + 30° = 180°

⇒ m∠A = 150°

Alternate interior angles:

⇒ m∠B = 30°

Sum of interior angles of a triangle is 180°:

⇒ m∠C + 30° + 40° = 180°

⇒ m∠C = 110°

Linear pair:

⇒ m∠C + m∠D = 180°

⇒ 110° + m∠D = 180°

⇒ m∠D = 70°

Alternate interior angles:

⇒ m∠E = m∠C

⇒ m∠E = 110°

Answer:

ok i am here to explain :)

Step-by-step explanation:

So, for #6, all we do is -8+6, since it said sum, so we add, and we get -2. this is 2 more than -4, and to check, all we would have to do is -4+2, which equals -2.

for #7, all we have to do is -8+(-6), since again it says sum so we add. the sum of these values are -14. for the second part, because it says "product" this means we multiply! and when we multiply -2 by 4, we get -8. this would lead us to believe that the sum is 4 less than. we can check it by subtracting positive 4 from the  negative 8, or -8-4, which would give us -12.

for #11, all i really did was plug it into a calculator, and for the first one, i got 4, and for the second one i got -4. this would give us a difference of 8, and to check all we would have to do is add the 8 to the negative 4, or -4+8=4.

Hope this helps, please mark as brainlest.

Answer:

6: -2

7: 14

11: -4

Step-by-step explanation:

6:

-8 + 6 = -2

-2 is bigger than -4 because it is closer to 0. If it was regular numbers, like 2 and 4, 4 would be larger! :)

7:

-8 - 4 = -12

4 - 2 = 2

The correct answer is 14 because there are 14 numbers between 4 and -12 :)

11:

(–3 + 5)^2

2^2

4

–(–3 + 5)^2

-2^2

-4

The correct answer is 4 because it is a positive number and positive numbers are ALWAYS bigger than negative numbers :)

Have a great day!!

Please rate and mark brainliest!!

Answer:

x = 16 or -2

Step-by-step explanation:

If both lines are congruent, their magnitudes are equal.

To find the magnitude of a line, the equation to use is;

D = √(x2-x1)^2 + (y2-y1)^2

So for AB, we have

D = √(-2 + 11)^2 + (5 + 3)^2

D = √81 + 64 = √145

For the second line

The distance would be;

D = √x-7)^2 + (9-1)^2

D = √(x-7)^2 + 8^2

Equate both magnitude

√145 = √(x-7)^2 + 64)

Simply remove the square roots on both sides

145 = 64 + (x - 7)^2

145 -64 = (x -7)^2

81 = (x-7)^2

Thaw the square root of both sides

x - 7 = 9

or x -7 = -9

x = 9 + 7 or x = -9 + 7

x = 16 or -2

Answer:

Arithmetic

Step-by-step explanation:

A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}[/tex]

[tex]x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}[/tex]

[tex]x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};[/tex]

[tex]x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005[/tex]

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

[tex](-714.005)^2+700(-714.005)-10000=-0.360[/tex]

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

[tex](14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725[/tex]

7d+3/4(4)=6(4)

7d+3=24

7d=24-3

7d/7 =21/7

d=3

Answer:

1. 480 inches^3

2. 6 inches tall, 8 inches wide, and 10 inches ong

Step-by-step explanation:

Answer:(Actual answer they provide) There are two pom-poms in a pair. The total number of strands required to make pom-poms is 80 x 2 = 160

Step-by-step explanation:

Answer:

6x-15 3(x-5) 3/2(2x-10)

Step-by-step explanation:

simplify

-1/2(-12x+30)

6x-15

factor in different ways

3(x-5)

3/2(2x-10)

Answer:

the answer is 4328

Step-by-step explanation:

may God bless you and your family during spring break

Answer:

8

Step-by-step explanation:

The length of the base of the triangle is, 8 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The area of the triangle is 28.8 square centimeters.

The height of the triangle = 7.2 cm

We know that;

⇒ Area of triangle = 1/2 ( Height × Base)

Substitute all the values, we get;

⇒ Area of triangle = 1/2 ( Height × Base)

⇒ 28.8 = 1/2 ( 7.2 × Base)

⇒ 28.8 × 2 = 7.2 × Base

⇒ 57.6 = 7.2 × Base

⇒ Base = 57.6 / 7.2

⇒ Base = 8 cm

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