To make five cups of lemonade you mix three cups of water with two cups of lemon
juice. If there are sixteen cups in a gallon, how many cups of lemon juice are needed to
make ten gallons of lemonade?

A: 16
B: 32
C: 40
D: 48
E: 64

(I know the answer is E but I don't know how to get it)

The price per quart is 0.40 dollars

Given that A 3-gallon bottle of bleach costs $19.56 and asked to find out the price per quart.

There are 16 quarts for a gallon

For a 3-gallon bottle, price is 19.56 dollars

For a one-gallon bottle, the price is [tex]\frac{19.56}{3}[/tex] dollars.

⇒The price of the one-gallon bottle is 6.52 dollars.

The price of 16 quarts is 6.52 dollars.

The price of one quart is [tex]\frac{6.52}{16}[/tex]

The price of one quart is 0.40 dollars.

Therefore,the price of the one quart is 0.40  dollars.

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Answer:

B. 3.96

Step-by-step explanation:

use a calculator to solve the answer unless it's a sentence

The number of significant digits is 4

Quotient can be defined as the number that results from the division of a number by another number.

Example;

The quotient of 4 and 2 is expressed as;

= 4/ 2

= 2

From the information given, we have the numbers as;

To determine the quotient, we have;

= 2.058 × 10^9/ 3.0571 × 10^−4

= 6. 731 × 10^12

The number of significant digits is 4

Thus, the number of significant digits is 4

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100 kg = 100000 g

∴ bags needed = [tex]\frac{100000}{250}[/tex] = 400

Given;

U = {1,2,3,4,5,6,7,8,9},

A = {1,2,3,4,5,6},

B = {2,4,5,6},

C = {1,6,7}.

To find;

A∩B, A∪C, (AUB)∩(A∪C), A'∩B', (A∩C)', A∪C, A∩(B∪C), A', A'∪B', A-B, A∪B, A∪(B∪C), B', (AUB)', B-C

A∩B = {2,4,5,6,}

A∪C = {1,2,3,4,5,6,7}

(AUB)∩(A∪C) = {1,2,3,4,5,6}

A'∩B' ={7,8,9}

(A∩C)' =  {2,3,4,5,7,8,9}

A∪C = {1,2,3,4,5,6,7}

A∩(B∪C) = {1,2,4,5,6}

A' = {7,8,9}

A'∪B' = {1,3,7,8,9}

A-B = {2,4,5,6}

A∪B = {1,2,3,4,5,6}

A∪(B∪C) = {1,2,3,4,5,6,7}

B' = {1,3,7,8,9}

(AUB)' = {7,8,9}

B-C = {6}

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Answer:

92 degrees

Step-by-step explanation:

-2 is 2 degrees from 0. the high is 90. Add them together for 92 :)

Answer:

92 degrees

Step-by-step explanation:

90 - (-2) = 92

The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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Answer:

x=2

Step-by-step explanation:

Answer: exact form: √89   decimal form: 9.43398113…

Step-by-step explanation:

the distance between (-3,4) and (2,-4) is

exact form: √89   decimal form: 9.43398113…

x = 0.25 , y= -0.5 , (x, y) represents the point (0.25,-0.5) in fourth quadrant of the cartesian plane as shown in the graph below attached.

What are cartesian coordinates in two dimensions ?

A Cartesian coordinate system in two dimensional is defined by x and y axes. Any point in the  coordinate system is defined by a perpendicular distance from  the x and y axes, (x, y). x and y  axes intersect at the point where the value of  x and y both is zero; this is called the origin (0,0)

Given ordered pair is ( 1/4, -1/2)

put (x,y) = ( 1/4, -1/2)

x= 1/4 =0.25  and y =(-1/2) = -0.5

This point lie in 4th quadrant

The point in the attached file represents  the given point.

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Answer:

Step-by-step explanation:

a=213

l=912

let cardinal number=n

let c.d.=d

d=214-213=1

l=a+(n-1)d

912=213+(n-1)1

912=213+n-1

912-212=n

n=700

cardinal number=700

Answer:

Step-by-step explanation:

2x

the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.

we are given that:

at the end of amini golf match,

Heather was 2 over par

So, Heather = 2

Alphonso was 3 under par

Alphonso = - 3

Jackie was par

Jackie = 0

Wanda was I under pa

Wanda = 1

Trevor was 4 over par.

Trevor = 4

Now arranging the integers from 1st to 5th place,

Trevor = 4 is 1st

Heather = 2 is 2 nd

Wanda = 1 is 3rd

Jackie = 0 is 4th

and Alphonso = - 3 is 5th

Therefore, the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.

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Red and green lines are Parallel lines. and black line is perpendicular to the blue line.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

In the given figure, we have a set of lines which are parallel and perpendicular to each others.

We know that Parallel lines are lies in the same plane which when extended do not meet and are always same distance apart from each other.

The Perpendicular lines are two non-vertical lines in the same plane that intersect at right angles.

From the figure given,

Red and green lines are Parallel lines. and black line is perpendicular to the blue line.

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On simplifying the equation this show that the ratio are equal:

4/5 = 4/5 = 4/5 .

To obtain the comparative ratio, find the LCM of both the consequents of both ratios, divide the LCM with both the consequents and then multiply the numerator and denominator of both ratios with the answer.

The ratio is a relationship between the amounts of two or more things that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for just about any two quantities, say a and b.

4/5, 8/10, and 12/15

dividing the ration to simplify it:

4/5, 8/10, and 12/15

8/10 = 4/5 on dividing by 2

12/15 = 4/5 on dividing by 3

So,

On simplifying the equation this show that the ratio are equal:

4/5, 8/10, and 12/15

4/5 = 4/5 = 4/5 .

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The answer for this given question is 8 blocks

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

basic rules of algebra

• Commutative Rule of Addition.

• Commutative Rule of Multiplication.

• Associative Rule of Addition.

• Associative Rule of Multiplication.

• Distributive Rule of Multiplication.

15*4= 60, meaning a full hour.

15 minutes = 2 blocks

15 minutes = 2 blocks

15 minutes = 2 blocks

15 minutes = 2 blocks

add them all up and we get that in 60 minutes (an hour) Beth walked 8 blocks.

Hence, Beth walked 8 blocks in 60 minutes of time.

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Answer:The answer is a.

Step-by-step explanation:I hope this helps.

Answer:

Consider points (1, 0) and (2, 2)

[tex]{ \tt{y = mx + c}} \\ [/tex]

m is the slope

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

Therefore

[tex]{ \tt{y = 2x + c}}[/tex]

consider point (1, 0);

[tex]{ \tt{0 = (2 \times 1) + c}} \\ { \tt{c = - 2}}[/tex]

Equation of line is;

[tex]{ \tt{y = 2x - 2}}[/tex]

Answer:

5/9

Step-by-step explanation:

When you divide 5 by 9, you will get 0.5 repeating. I know the answer because I had this question on Acellus.

Answer: 5<x<9

Step-by-step explanation:

Graph is from 5 to 9, not including 5 and 9. Let's say x is all the values from 5 to 9, not including 5 and 9.

So, answer is 5<x<9

With algebraic operations, the value becomes 0.8.

According to the statement

We have to find that the value of the statement.

So, For this purpose, we know that the

Algebraic operation is any combination of a finite number of the operations of addition, multiplication, subtraction, and division.

And the The four basic algebraic operations are addition, subtraction, multiplication and division.

From the given information:

The result of 10 - 9.2

Then

10 - 9.2

Here we add to subtract the given terms

Then after subtracting the terms the value of the statement become

0.8

Then with the help of the algebraic operation the value becomes 0.8.

So, With algebraic operations, the value becomes 0.8.

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Answer:

Step-by-step explanation:

Given 900 tickets for sale and restrictions on the numbers of reserved and general admission seats, you want a system of inequalities that models the possible sales. You also want a graph of the feasible region.

The variables are defined as ...

The limits give rise to these inequalities:

  x ≤ 600 . . . . . no more than 600 reserved seats can be sold

  y ≥ 200 . . . . . at least 200 general admission tickets will be sold

  x + y ≤ 900 . . . . at most, 900 tickets can be sold

These inequalities can be graphed simply by giving them as input to a graphing calculator. The result is attached. The feasible region is that area of the graph where the three solution spaces overlap. Here, it is outlined in black.

If 8 less than the product of 6 and the difference of a number and 2 is twice the number, then the number is 5.

As per the question statement, 8 less than the product of 6 and the difference of a number and 2 is twice the number.

We are required to calculate the number.

To solve this question, let us assume that our concerned number is "x". Now, we will form a linear equation of single variable, based on the conditions mentioned in the question statement, and solving for "x", we will obtain our desired answer.

[tex][6(x-2)-8]=2x\\or, 6x-12-8=2x\\or,6x-(12+8)=2x\\or,6x-20=2x\\or,6x-2x=20\\or, 4x=20\\or, x=\frac{20}{4} =5[/tex]

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Answer:

t > 94.5

Step-by-step explanation:

The actual area of Zahra's office is 50ft².

Proportions are used to solve scale problems using the rule of three.

The drawing is scaled from 6 cm to 15 ft, which means that each 6 cm represents 15 ft of real dimensions.

The length in the drawing is 4 cm, so:

Cross multiplication is used:

Her actual office measures are 10 feet long.

The width is 2 cm, so:

Cross multiplication is used:

Her actual office measures are 5 feet wide.

Formula of area: l × b

Therefore, the actual area of Zahra's office is 50ft².

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Answer:

x= -0.9

Step-by-step explanation:

Assuming you did a typo by saying 7 to the power of x that's also to the power of 2.

This is the answer for 7x^2 = 7x^3+10

Answer:

68

Step-by-step explanation:

Answer:

For this particular problem (with units in mind), the formula for arc length is

Arc length

=

2

π

r

⋅

(

x

360

∘

)

,

Where

x

is the central angle measure and

r

is the radius of the circle.

You don't really have to work too hard to remember this formula. The arc length formula is easy to remember because it is just the circumference of the circle times the central angle over

360

∘

.

Anyway, let's continue with the problem. We are given that the central angle is

60

∘

, and that

r

, our radius, is

9

feet. So, let's plug that into our equation to find the arc length, in feet:

Arc length

=

2

π

r

⋅

(

x

360

∘

)

Arc length

=

2

π

(

9

)

⋅

(

60

∘

360

∘

)

Now, you might be tempted to plug this in your calculator, but let's simplify it a little bit more.

Arc length

=

2

π

(

9

)

⋅

(

60

∘

360

∘

)

Arc length

=

18

π

⋅

(

1

6

)

Arc length

=

3

π

feet

So, if you wanted an exact answer, it would be that the arc length is

3

π

feet

. If you wanted an approximate answer, then you can type

3

times

π

in your calculator to get a value of about

9.425

feet

as you alternative answer.

Step-by-step explanation:

[tex]\cfrac{34}{75}\div \cfrac{51}{100}\implies \cfrac{34}{75}\cdot \cfrac{100}{51}\implies \cfrac{34}{51}\cdot \cfrac{100}{75}\implies \cfrac{2}{3}\cdot \cfrac{4}{3}\implies \cfrac{8}{9}[/tex]