Write 21e-10 in standard form.

Answer:

[tex]\frac{1}{15}[/tex] of a gallon.

Step-by-step explanation:

It's just:

[tex]\frac{1}{3} *\frac{1}{5} =\frac{1}{15}[/tex]

So [tex]\frac{1}{15}[/tex] of a gallon on each sundae.

The chocolate sauce on each sundae is B) 1/15.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Volume of chocolate sauce = 1/3 gallon

Number of chocolate sundaes = 5

So, chocolate sauce is on each sundae = Volume of chocolate sauce / Number of chocolate sundaes

⇒ chocolate sauce is on each sundae = (1/3)/5 gallon

⇒ chocolate sauce is on each sundae = 1/15 gallon

Thus, the chocolate sauce on each sundae is B) 1/15.

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Answer: The answer is (-6,-2)

Answer:

A

Step-by-step explanation:

Answer:

Technically it is 5/12, but as a percentage it would be 41.6666%

Answer:

Randomly selecting the first red marble is a 5/12 chance.

Picking the red marble again would be 1/3 or 4/12 chance

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Choice B shows each input going to exactly one output. Therefore it is a function.

Choices A, C, and D have one input leading to more than one output. For example, the input -5 in choice C goes to more than one output (-2 and 3). This is why choices A, C, and D are not functions.

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

37.68

Step-by-step explanation:

The formula to be used is 1\3πr^2h

so going by the question π=3.14,r=2,h= 9

when u substitute each value into the formula u get you answer to be 37.68

Answer:

37.87 yea that's the answer my huysterrrebj

Final answer:

Algebraic fractions can be reduced by finding the greatest common factor (GCF) and simplifying the fraction to its lowest terms.

Explanation:

False. Algebraic fractions can be reduced. To reduce an algebraic fraction, you need to find the greatest common factor (GCF) of the numerator and denominator, and then divide both the numerator and denominator by the GCF. This simplifies the fraction to its lowest terms. For example, if you have the fraction (2x + 4)/(6x + 12), the GCF of the numerator and denominator is 2, so you can simplify the fraction to (x + 2)/(3x + 6).

Answer:A

Step-by-step explanation: this is aquadratic equation and can be solved by using factorisation.

To use factorisation method we need to look for two numbers that when we muliply them we get +1 and when we add them we get -2

So that is -1 and -1

-1*-1=+1

-1+(-1)=-2

so now we substitube -2x with the two known factors which will give us;

x²-1x-1x+1=0

now we factorise this equation. which will give us;

x(x-1)-1(x-1)=0

now we pick the factors outside the bracket and the factors inside the bracket, which will give us;

(x-1)(x-1)=0

so;

x-1=0 and

x-1 =0

take 1 to the other side, which will give us;

x=1 two timesA

Answer: -4p³ - 3p² - 17p

Step-by-step explanation:

I hope this helps!

Answer:

4x+12 = 4(x+3)

bx-2x = x(b−2)

x^2-6x+9 = (x−3)(x−3)

x^2-4x+4y^2? Don't understand

4a^2-9 = (2a+3)(2a−3)

Step-by-step explanation:

Answer:

2 whole cups and 1 4th of a cup

Step-by-step explanation:

Step-by-step explanation:

I think we can add all arrangements to find the total no of arrangements to prepare

120 + 85 + 46

= 251

Answer: the answer is B, C, E

Step-by-step explanation:

i just took the assignment

Answer:

B C E

Step-by-step explanation:

A.The cone has the greater volume.

B.The cone and cylinder have the same base area.

C.The volume of the cone is One-third the volume of the cylinder.

E.The cone and cylinder have the same diameter.

Answer:

translation,reflection,

Step-by-step explanation:

because you move thing in different direction

Sliding the bed and moving the desk and chair are examples of translation, while moving the bed stand is an example of reflection.

a. Sliding the bed 1 foot along the wall is an example of a translation. The bed is moved from one position to another without changing its orientation.

b. Moving the desk and chair to the opposite wall is also an example of a translation. The desk and chair are moved from one side of the room to the other without any rotation or change in shape.

c. Moving the bed stand to the other side of the bed is not a translation, but a reflection. The bed stand is flipped across a line of symmetry, changing its orientation.

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Answer:

-40

Step-by-step explanation:

Answer:

C=-40

Step-by-step explanation:

C/8+25=20

C/8=-5

C=-40

Answer:

87°, 68°, and 25°

Step-by-step explanation:

All the angles in a triangle will equal to 180° so with knowing this you can create the equation...

(7x-11)° + (2x-3)° + (5x-2)° = 180°

(14x-16)° = 180°

14x = 180° + 16°

14x = 196°

x = 14°

Knowing x you can substitute this value into each angle.

7(14)-11 = 87°

5(14)-2 = 68°

2(14)-3 = 25°

To confirm that these are the right answers you can add all these angles to see if they equal to 180°.

87° + 68° + 25° = 180°

Answer:

7x -11  = 87 degree

5x-2  = 68 degree

2x-3 = 25 degree

When you turn this triangle into a parallelogram, we remember the opposite angles add up to 180 so we label top or bottom corner angle label it x/2 in this diagram as 7x is higher we label this one x/2 instead to make a parallelogram make sense to the triangles, being the ratio angles of each 4 corners.

We then know that that triangle within other angles at the bottom are smaller as they share another angle where top missing quadrilateral angle shares the left bottom supplementary angles as 2 opposite ends on a parallelogram add up to 180 degree.

We do the sums and call x 14 start with the top angle first

7x -11 = 7(14) -11 = 98-11 = 87 degree

5x-2 = 5(14)-2 = 68 degree

2x-3 = 2 (14) -3 = 25 degree

If you do this again for different measures and find the bottom angle is higher then you just redo your workings as bottom first is higher and find why with x.

To show your ways of reasoning that all x = 14 etc.

x= 14

Step-by-step explanation:

Answer:

There are 5 adults and 15 children in the family.

Step-by-step explanation:

Given

Number of people in the family = 20

Cost of adults tickets = $8

Cost of children tickets = $4

Total ticket sold = $100

Required

How many adults and children are in the family.

Let C represent children and A represent adults.

If there are 20 members of the family, then.

A + C = 20

Also, if adult tickets is sold for $8 and children tickets is sold for $4 and the total cost of tickets were $100, then we have

8A + 4C = 100.

Now, we have two equations to be solved simultaneously.

A + C = 20 --- (1)

8A + 4C = 100 ---- (2)

Make C the subject of formula in (1)

C = 20 - A.

Substituton 20 - A for C in (2)

8A + 4(20 - A) = 100

8A + 80 - 4A = 100

Collect like terms

8A - 4A = 100 - 80

4A = 20

Multiply both sides by ¼

¼ * 4A = ¼ * 20

A = 5

Recall that C = 20 - A

So,

C ,= 20 - 5

C = 15.

Hence, there are 5 adults and 15 children in the family.

The Question was solved by getting an expression to represent the amount of tickets that were sold and another expression for the total number of people in the family.

The two expressions gave us a simultaneous equation and the equations were solved simultaneously.

We are asked to find 7 is what percent to 30.

We will use proportions to solve our given problem.      

Let us assume that 7 is n% of 30. So we can set a proportion as:

[tex]\frac{n}{100}=\frac{7}{30}[/tex]

Let us solve for n.

[tex]\frac{n}{100}\cdot 100=\frac{7}{30}\cdot 100[/tex]

[tex]n=\frac{7}{3}\cdot 10[/tex]

[tex]n=\frac{70}{3}[/tex]

[tex]n=23.333[/tex]

Therefore, 7 is [tex]23.333\%[/tex] of 30.

Answer:

7 students

Step-by-step explanation:

I multiplied .25 by 28

.25=25%

of = multiply

Answer:

75

Step-by-step explanation:

Answer:6,051

Step-by-step explanation:1+2+3+2,014+2,015+2,016

Answer:

1016065

Step-by-step explanation:

Answer:

C. y = 5x

find the slope

(5-0)/(1-0)

5/1 = 5

then look at the y line

the point 0 is on line y

which has no value so c is the answer

Step-by-step explanation:

( -3, -2.5, -1, .66, 4, 23 )

( -2.5, -.75, .75, 1, 3 )

( -34, -27, -13, 12, 36, 63 )

Answer:

personally,

Step-by-step explanation:

I would say d :)

Final answer:

Kyle drank a total of 39/35 liter of water during the first half of the game.

Explanation:

To find the amount of water Kyle drank during the first half of the game, we need to calculate the difference between the initial amount of water and the amount left at the end of the second quarter.

Let's assume Kyle's bottle initially held 1 liter of water.

At the end of the first quarter, he drank 5/7 of the bottle or (5/7) * 1 = 5/7 liter of water.

After the coach filled up his bottle during the second quarter, the bottle was full again.

At the end of the second quarter, he drank some more water and left only 2/5 of water in the bottle, which is (2/5) * 1 = 2/5 liter of water.

Therefore, Kyle drank a total of 5/7 + 2/5 = 25/35 + 14/35 = 39/35 liter of water during the first half of the game.