Subtract the given expressions.


a. (2x²+3y²+8)-(-4x²-5y²-8)

b. (9a²+18ab)-(4a²-12ab)



Grade 8

Answer:

Step-by-step explanation:

6x+7x= ?
- factor x
x(6+7)

x(13)

= 13x

therefore, 13x is your answer.

The pharmacist must add [tex]36 cm^3[/tex] of pure alcohol to the [tex]10 cm^3[/tex] of 8% alcohol solution to obtain an 80% alcohol solution.

Alcohol, also known as ethanol is a clear, colorless liquid that is produced by the fermentation of sugars and carbohydrates by yeasts.

Let's start by writing down the equation that relates the amount of alcohol in the original 8% solution to the amount of alcohol in the final 80% solution:

[tex]0.08 x 10 cm^3[/tex] [tex]+ x = 0.80 x (10 cm^3 + x)[/tex]

Here, x represents the amount of pure alcohol that we need to add to the [tex]10 cm^3[/tex] of 8% solution to obtain the desired 80% solution.

The left-hand side of the equation represents the amount of alcohol in the original solution (which is 8% alcohol), while the right-hand side represents the amount of alcohol in the final solution (which is 80% alcohol).

Now we can solve for x:

[tex]0.08 x 10 cm^3 + x = 0.80 x (10 cm^3 + x)[/tex]

[tex]0.8 cm^3 + x = 8 cm^3 + 0.8x[/tex]

[tex]0.2x = 7.2 cm^3[/tex]

[tex]x = 36 cm^3[/tex]

Therefore, the pharmacist must add [tex]36 cm^3[/tex] of pure alcohol to the [tex]10 cm^3[/tex] of 8% alcohol solution to obtain an 80% alcohol solution.

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Answer: The pharmacist must need 36 cubic centimeters of pure alcohol to 10 cm^3 of a 8% alcohol solution

Answer:

(M,M)(M,N)(W,C)(W,M)(W,N)(D,C)(D,M)(D,N)

Step-by-step explanation:

Answer: A= [tex]\sqrt{3} (side^{2} )[/tex]=[tex]\sqrt{3} (2^{2} )[/tex]  ≈6.9282 [tex]yd^{2}[/tex]

Step-by-step explanation:  In order to find the surface area of the tetrahedron in this case you need to know the side length which is already provided. The equation [tex]\sqrt{3} (side^{2} )[/tex] is the square root of 3 multiplied by the square of the side (2) which gets you roughly ≈6.9282 square yards. And this equation is really easy to do with any tetrahedron. (: have a good rest of your day

Answer: It's A.

Step-by-step explanation:

Answer: a is right

Step-by-step explanation:

Answer:

A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. For example, with the data set: 8, 9, 5, 6, 7, the mean is 7, as 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7. So, assuming that's the type of "Mean" your talking about, there is no way of telling what the means are seeing as the picture only shows the averages.

Answer:

Volume of milk = 23.45 L

Volume of water = 3.625 L

Total volume of the mixture = Volume of milk + Volume of water

Total volume of the mixture = 23.45 L + 3.625 L

Total volume of the mixture = 27.075 L

Therefore, the quantity of the resultant mixture is 27.075 L.

Answer: Option A, $12.50

Step-by-step explanation: Jeff spent 3/8 of his money, which can be represented by the equation as follows:

1 - 3/8 = 5/8

where 1 represents 8/8, or $20, and 5/8 represents the remainder of Jeff's money.

To find how much money Jeff has left, we can multiply his initial investment by 5/8:

$20 × 5/8 = $100/8, or $12.50

Hence, Jeff has $12.50 leftover, which is represented by option A.

Answer:

12

Step-by-step explanation:

10x-20+6x+8=180

16x-12=180

16x=180+12

16x=192

x=192/16

x=12

Answer: 12

Step-by-step explanation:

Answer:

all numbers less than or equal to 1

-7

0

0.999

-4

0.9

1

-2

0.99

Step-by-step explanation:

Answer: -7, -4, -2, 0, 0.9, 0.99, 0.999, 1

Step-by-step explanation: The numbers you need to pick, have to be less than or equal to 1. -7, -4, -2, 0, 0.9, 0.99, 0.999, and 1, are less than or equal to 1. 1, 1.001, 1.01, 1.1, 2, 4, 6, and 9, are all greater than one, so they won't fit the equation.

To find the average speed, we divide the total distance traveled by the time taken:

Average speed = Total distance ÷ Time taken

Therefore, Gianna and her family's average speed is:

Average speed = 175 miles ÷ 3 hours = 58.33 miles per hour (rounded to two decimal places)

We use an equation to solve this problem.

Equation: Average speed = Total distance ÷ Time taken

Where:

Total distance = 175 miles

Time taken = 3 hours

Substituting these values into the equation, we get:

Average speed = 175 miles ÷ 3 hours

Therefore, the answer is an equation:

Average speed = 175 miles ÷ 3 hours

Answer: the answer is 1,-3

Step-by-step explanation:

My guess is 3 because there 5 on the other side and to make it equal you need to add 3

ONLY IF THERE THE SAME SIZE

The angles which are formed inside the two parallel lines, when intersected by a transversal, are equal to its alternate pairs.

q and t are alternate interior

r and k are alternate interior

W is 79

The mistake he made is equating an alternate interior angle to an alternate exterior angle

1 .When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.

Alternate exterior angles are those angles that have different vertices, lie on the alternate sides of the transversal, and are exterior to the lines. When a transversal intersects two parallel lines, the alternate exterior angles formed are always equal.

2. check the picture for translation of the angles

3. 8 angles are created, 4 alternate interior and 4 alternate exterior

Angles 6,4 and 2 are congruent to 8

In question 8, the equation above must be equal to the written degree below. Your image isnt so clear

Answer:

Step-by-step explanation:

a

Answer:

The answer to your problem is, $16464

Step-by-step explanation:

First we want to figure out how much ours are in two weeks which is:

336 Hours.

So we can do easy math 49 x 336 =

16464.

Convert it to money $16464

Thus the answer to your problem is, $16464

Answer:

The answer is the following

Step-by-step explanation:

1) 0.045, 0.42, 0.457, 4.57

2)0.17, 0.9, 1.5, 1.7

3)0.00009, 0.009, 0.09, 0.9, 9.0

According to the diagram, what is the value of x?

3/7

-3/7

-1

1

The value of x is -1. Alternative d.

Observing the key legend and the weights on the scale, an equation can be constructed that represents each of the dishes and their weights:

Two white cylinders + three gray marbles equals five white cylinders, so we get the equation

[tex]\large\text{$\sf 2x-3=5x$}[/tex]

Note: -3 value is due to 2x+(-1-1-1) => 2x+(-3) => 2x-3

[tex]\begin{array}{l}\sf 2x-3=5x\\\sf 2x-5x=3\\\sf -3x=3\\\raisebox{8pt}{$\sf x=\dfrac{3}{-3}$}\\\bf x=- 1\end{array}[/tex]

And so, the value of x was found and is equal to -1

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If you have any question about this solution, you can ask me in the comments :)

Answer:

t is dependent and c is independent because if c increases so will t

Answer:

D

Step-by-step explanation:

I think it's D because it doesn't have a normal repeating pattern it's just infinity 4s

Answer:

[tex]\boxed{\mathtt{Area = 81.25cm^{2}}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to solve for the \underline{Area} of a Rectangle.}[/tex]

[tex]\textsf{We are given the \underline{Perimeter}, and the \underline{Length}.}[/tex]

[tex]\textsf{We should begin by identifying the formulas for Perimeter and Area.}[/tex]

[tex]\mathtt{Perimeter = Length + Length + WIdth + Width}[/tex]

[tex]\mathtt{Area = Length \times Width}[/tex]

[tex]\textsf{Because we're given the Perimeter and the Length, we can identify the Width.}[/tex]

[tex]\large\underline{\textsf{Substitute:}}[/tex]

[tex]\mathtt{38 cm = 12.5 + 12.5 + Width + Width}[/tex]

[tex]\large\underline{\textsf{Combine Like Terms:}}[/tex]

[tex]\mathtt{38 cm = 25 cm+ 2(Width)}[/tex]

[tex]\large\underline{\textsf{Subtract 25 from both sides:}}[/tex]

[tex]\mathtt{13 cm = 2(Width)}[/tex]

[tex]\large\underline{\textsf{Divide By 2:}}[/tex]

[tex]\mathtt{6.5 cm = Width}[/tex]

[tex]\textsf{Now that we know the Width, we can identify the Area.}[/tex]

[tex]\large\underline{\textsf{Substitute:}}[/tex]

[tex]\mathtt{Area = 12.5 cm \times 6.5cm}[/tex]

[tex]\boxed{\mathtt{Area = 81.25cm^{2}}}[/tex]

Answer:

#2

Step-by-step explanation:

A'(-7,3) C'(-4,6) D'(-7,6)

Answer:

275.5 square inches of pizza remaining

Step-by-step explanation:

The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle.

The diameter of the pizza is 20 inches, so the radius is half of that, or 10 inches.

The area of the entire pizza is:

A = πr^2 = 3.14 x 10^2 = 314 square inches.

If one member of the family ate one eighth of the pizza, then the amount of pizza remaining is 7/8 of the original amount.

The remaining area of the pizza is:

(7/8) x 314 = 275.5 square inches.

Therefore, there are 275.5 square inches of pizza remaining.

Answer:

a=-4p^2-4pq+5q^2-2

b=-3x+3y

Step-by-step explanation:

Answer:

A) 112 [tex]cm^{2}[/tex]

B) 108 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area = length times width

A)

a = lw

a = 8 x 14 = 112

B)

a = lw

a = 18 x 6 = 108

Helping in the name of Jesus.

Answer:

here you go.

Step-by-step explanation:

area of parallelogram= BASE ×HEIGHT

Area=18×6