A 100-ounce jug of liquid laundry detergent
can wash 64 loads of laundry. How many
loads could a 150-ounce jug of detergent
wash?

                                         Answer and Explanation

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The value of x is 20.

We can figure this out by...

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[tex]\frac{3x}{5}-x=\frac{x}{15}-\frac{28}{3}[/tex] but what does x equal?

[tex]\frac{3\cdot20}{5}-20[/tex] = [tex]-8[/tex]

[tex]\frac{20}{15}-\frac{28}{3}[/tex] = [tex]-8[/tex]

Since both are equal to -8, that means [tex]\frac{3\cdot20}{5}-20[/tex] = [tex]\frac{20}{15}-\frac{28}{3}[/tex].

Which means that...

x = 20

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Hope this helps! <3

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Answer:

x - 3y = -27

Step-by-step explanation:

Two parallel lines have equations of the same form; only the constants differ.

Thus, if the given line is x - 3y = 1, the desired new line has equation of the form x - 3y = C, where we must find the value of C.

Substituting 3 for x and 10 for y in x - 3y = C, we get    3 - 3(10) = C, or

3 - 30 = C.  Thus, C = -27 and the desired new line is    x - 3y = -27.  

The new coordinates of point A would change as follows:

(4, -6) → {4, -(-6) + 2} = (4, 6 + 2) = A' → (4, 8)

The new coordinates for point A are (4, 8).

Answer:

32 is the

number

Step-by-step explanation:

Answer:

20/7

Step-by-step explanation:

hope this helps, but basically you divide 20 yards by 7 to get the width of each row

Answer:

8     4 / 7

Step-by-step explanation:

Step-by-step explanation:

do you mean ≤ if so check this solution out

-7≤x+2/4

find the LCM of X+2/4

LCM=4x+2 /4

-7≤4x+2/4

then you cross multiply

-28≤4x+2

collect like terms

-28-2≤4x

-30≤4x

X=-7.5

I hope it helps

Answer:

c. [tex]1\leq x\leq 6[/tex]

Step-by-step explanation:

the domain is the set of all possible inputs of a function, in other words, all the x-values that make up the function. in this function, the first x-value is 1, and the function is continuous all the way up to 6, so, the domain would be the answer in c.

Answer:

(x-4)(x-3)

Step-by-step explanation:

quadratic equation is always squared so I will squared it myself

Answer:

A

Step-by-step explanation:

distribute 3 to 4x+2 --> 12x + 6 = 8x + 24 - 2x

combind like terms --> 12x + 6 = 6x + 24

subtract 6 from both sides --> 12x +6 -6 = 6x + 24 - 6 --> 12x = 6x + 18

subtract 6x from both sides --> 12x - 6x = 6x -6x +18 --> 6x = 18

divide both sides by 6 to get what x equals --> x = 3

Answer:

vvvgghhi

hi

Step-by-step explanation:

ggguuuuuuuuhh

hsjsudiejejfjnfkekek

Answer:

The answer is "5.7"

Step-by-step explanation:

Using the cosine rule.

[tex]\cos T = \frac{r^2+s^2-t^2}{2rs} \\\\t^2= r^2+s^2-2rs \cos T ........(i)\\\\r=1.7\\s=7.3\\T=15\\\\t^2= (1.7)^2+(7.3)^2-2(1.7)(7.3) \cos 15^{\circ} \\\\[/tex]

   [tex]=2.89+53.29-24.82(0.9659)\\\\=32.2064[/tex]

[tex]t= 5.6751 =5.7[/tex]

Answer:

The ratio of green apples to red apples is .

Step-by-step explanation:

Given,

Number of red apples = 21

Number of green apples = 18

We have to find out the ratio of green apples to red apples.

Solution,

For finding the ratio we have to divide the number of green apples to the number of red apples.

So, we can frame the above sentence as;

Ratio = number of green apples/number of red apples

Now substituting the values, we get;

Ratio= 18/21 = 6/7

Hence The ratio of green apples to red apples is . 6/7

Answer:

1.25

5/4

1 1/4

Step-by-step explanation:

The dimensions of rectangle A are L=12 and W=8. The dimensions of rectangle B are L=15 and W=10.

We are told rectangle B is a copy of rectangle A, thus we must find the scale factor by dividing both dimensions:

15/12=5/4

10/8 =5/4

Dividing 5/4 we get 1.25.

Converting 5/4 to mixed fraction: 5/4= 1 1/4

There are three valid selections:

1.25

5/4

1 1/4

Answer:

A. y = 8x

Step-by-step explanation:

y is the product, and x is one of the variables that will multiply another number to equal y. So x times a variable equals y, then y divide by x would equal that variable. And in the questions it gave us if y = 48 and x = 6. So we'll use that: 48/6 = 8, the variable is 8. 8 times 6 equals 48 so:

y = 8x

Answer:

second line plot

Step-by-step explanation:

It is the second line pot because...

d-4>-3

so what you do is you make it a equation

d-4=-3

you transfer the -4 to the other side by adding it on both sides

d=1

therfore d can 1 and any number above 1

I hope this helped

The perimeter of the isosceles right triangle is P = 6 + 3√2 feet

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the isosceles triangle be represented as ΔABC

In an isosceles right triangle, the two legs are congruent, so if one leg has a length of 3 ft, then the other leg also has a length of 3 ft. Let's call the length of the hypotenuse h.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h² = 3² + 3²

h² = 18

Taking square roots on both sides , we get

h = 3√2 feet

The perimeter of the triangle is the sum of the lengths of its sides:

Perimeter = 3 + 3 + 3√2 = 6 + 6 + 3√2 feet

Hence , the perimeter is 6 + 3√2 feet

To learn more about isosceles triangles click :

https://brainly.com/question/1900674

#SPJ7

Answer:

31! :D

Step-by-step explanation:

(My discord: TheDiamondDuck #9036)

If you want to join you can,

Good luck!!

God Bless!!

~DuffyDuck~

Answer:

Option A and Option C

Step-by-step explanation:

Given:

IJ ≅ LM

∠J ≅ ∠M

To Prove:

ΔHIJ ≅ ΔKLM

              Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                    congruence

Therefore, Option A and Option C are the correct options.

Answer:

Percent [wearing elf costume] = 60%

Step-by-step explanation:

Given:

Total number of people = 50

Grinch or elf costume = 40

Grinch costume = 10

Find:

Percent [wearing elf costume]

Computation:

Percent [wearing elf costume] = [Grinch or elf costume - Grinch costume] / Total number of people

Percent [wearing elf costume] = [40-10] / 50

Percent [wearing elf costume] = [30] / 50

Percent [wearing elf costume] = 60%

Answer:

Arielle has 374 grasshoppers and 187 crickets

Step-by-step explanation:

Let's set:

x = number of grasshoppers

y = number of crickets

Arielle has a collection of 561 insects, thus:

x + y = 561            [1]

The number of grasshoppers is twice the number of crickets, thus:

x = 2y                   [2]

Substituting [2] in [1]:

2y + y = 561

Simplifying:

3y = 561

Dividing by 3:

y = 561/3

y = 187

From [2]:

x = 2*187 = 374

x = 374

Arielle has 374 grasshoppers and 187 crickets

Answer:

5

Step-by-step explanation:

The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.

Answer:

x = 84°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

129° is an exterior angle of the triangle, thus

x + 45° = 129° ( subtract 45° from both sides )

x = 84°

The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is

let h be the height of the tree, then

[tex]\frac{h}{7}[/tex] = [tex]\frac{50}{10}[/tex] = 5 ( multiply both sides by 7 )

h = 35

The height of the tree is 35 ft

Answer:

black

Step-by-step explanation:

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Equation

2(x + 4) = 4x + 3 - 2x + 5

Step 2: Solve for x

Here we see that x does indeed equal x.

∴ x = infinite amount of solutions

Answer:

9

Step-by-step explanation:

(5x-4)+(6x-5)=90 degrees, because complementary angles add up to 90 degrees. So, 11x-9=90, 11x=99, then x=9.

Answer:

False

Step-by-step explanation:

hope this helps!

Answer:

my answer is (5±√10)/3