Find the dfference between (8a + 2b - 4) and (3b - 5)

Answer:

80/7 simplified its 11 3/7

Step-by-step explanation:

lmk if you need an explanation! :]

60/9 ÷ 12/7

67 ÷ 21/ 63

= 0.0506

OR

11 3/7

Part A: Garcia mixed 4 cups of red with 1 cup of yellow.

Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.

Part C: $7

Hope this helps! :)

The unit price for a cup of red paint is equal to $7

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Given here: The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1

For every yellow cup of paint Garcia mixed 4 cups of red paint to the mixture.

Now the ratio given here is  4:1

Thus for every 1 cup of yellow paint garcia mixes 4 cups of red paint

or for 1 cup of red paint garcia mixes 1/4 cup of yellow paint to the mixture.

Because 1:4=1:1/4

Now in a shade of orange paints there are 4 cups of red paint and 1 cups of yellow paint thus total cups of paint=5

Now 6 cups of red paint cost $42

Thus 1 cup of red paint is equal to 42/6=$7

Thus cost of each red paint is equal to $7

Hence, The unit price for a cup of red paint is equal to $7

Learn more about the unit rate here:

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i believe these are the answers:

1. b

2. a

Answer:

Mark me brainiiest

Step-by-step explanation:

Its 1. B and 2. A

Answer:

short base: 6 yards

long base: 8 yards

Step-by-step explanation:

Our understanding of your figure is shown below.

The question says the "shortest side" and the "width" have the same dimension. If the "width" is a reference to "height 6 yards", then it seems the "shortest side" is 6 yards. Since the slant sides are longer than the height, the "shortest side" is also the "short base."

The short base is 6 yards.

__

The long base overhangs the short base by 1 yard on either end, so it is a total of 2 yards longer than the short base. It it 6+2 = 8 yards long.

The long base is 8 yards.

Hope this is correct, if not then feel free to let me know. I'm sorry in advance if it is incorrect.

Answer:

Volume = 66

Surface are = 144

Step-by-step explanation:

1. Volume

The formula to find the volume of a triangular prism is the following,

[tex]A=\frac{l*w*h}{2}[/tex]

The following information is given,

lenght = 4

width = 11

hieght = 3

Substitute these numbers into the formula and solve for the heihgt,

[tex]A=\frac{l*w*h}{2}\\\\A=\frac{4*11*3}{2}\\\\A=66[/tex]

2.Surface area

The surface area of a figure is the two-dimensional distance around the figure. It can be found by finding the area of each face of the figure and then adding the result up.

The formula to find the area of a rectangle is the following,

[tex]A_r=(lenght)(width)[/tex]

The formula to find the area of a triangle is the following,

[tex]A_t=\frac{(legnth)(width)}{2}[/tex]

Substitute in the give values and add up the results to find the total surface area of the rectangle,

[tex]((5)(11))+((4)(11))+((3)(11))+(\frac{(3)(4)}{2})+(\frac{(3)(4)}{2})\\\\=55 + 44 + 33+ 6 + 6\\\\= 144[/tex]

Answer:

answer is D hope this helps you good luck

It would be 106, D :D

Answer:

2y+5

Step-by-step explanation:

Lets start with an expression for how many yards Gary threw. Since y is the variable given in the problem, we'll use that.

Yards Gary threw = y

We also know that Pat threw 5 more than twice the yards Gary did. First, we multiply Gary's yards by 2, then add 5 more. We end up with the expression:

Yards Pat threw = 2y+5

Answer:

V ≈ 254.47 cubic inches

SA ≈ 226.19 square inches

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  5

Step-by-step explanation:

The volume of a right square pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base.

The volume of the larger pyramid will be ...

  V' = 1/3(5B)h

So, the ratio of volumes is ...

  V'/V = (1/3(5B)h)/(1/3Bh)

  V'/V = 5

The ratio of volumes is 5.

Answer:

18

Step-by-step explanation:

[tex]\frac{-72}{-4} = 18[/tex]

Answer:

[tex]18[/tex]

Step-by-step explanation:

We know that

[tex]( - ) \div ( - ) = ( + )[/tex]

So,

[tex]( - 72) \div ( - 4) = 18[/tex]

hope this helps you.

Answer:

1 - D

2 - B

3 - C

4 - A

I hope this helped!

Answer:

option 4

Step-by-step explanation:

|a| represents Absolute value, it is the distance from zero that a number is on the number line. And we know distance cannot be negative.

So,

[tex]|a| = a[/tex]

[tex]|-a| = a\\\\| \frac{-a}{b}| = \frac{a}{b}\\\\|\frac{a}{-b}| = \frac{a}{b}[/tex]

Answer:

0.4

Step-by-step explanation:

Here we see the arithmetic sequence 0, 0.1, 0.2, 0.3, 0.4, 0.5, and so on.

The value of p is 0.4.

Answer:

The answer is t/3=20

The right diagram is the one that has the orange boxes with 20s and has a t on top

Answer:

55%

Step-by-step explanation:

For percentages, you need to divide the part by the whole, then multiply by 100.

In this case, [tex]\frac{22}{40}[/tex] = 0.55.

Then multiply by 100 to get a percentage: 0.55 x 100 = 55%

Answer:

55%

Step-by-step explanation:

Total number of movies= 40

Number of movies rated very good= 22

Percentage of movies rated very good= 22/40*100%

                                                                = 55%

Hope it helps you stay safe<3

Answer:

C. 3x + x = 67

Step-by-step explanation:

Means Mathew has 3 units and Daniel has 1 unit.

There's 4 units in total.

4x = 67

3x + x = 67

3x is Mathew's DVDs

x is Daniel's DVDs

Answer:

10 miles

Step-by-step explanation:

35/7 is 5 so therefore if you do 5+5+5+5+5+5+5 is 35

so that means 2 gallons which is 10

Theoretical:

30%

Experimental:

42.5%

Answer:

12x + 8 = 12 x 6 + 8 = 80

8x-3 = 8 x 6 - 3 = 44

Step-by-step explanation:

(12x+8) + 55 + (8x-3) = 180 (Angle Sum Property)

(8+55-3) + (12x + 8x) = 180( group the variables)

(60) + (20x) = 180

20x = 180 - 60

20x = 120

x = 120/20 = 6

x=6

Answer:

A. 44.3

Step-by-step explanation:

When rounding to a tenth the second decimal place is removed.

Answer:

16b^4-9

Step-by-step explanation:

Factoring gives us 16b^4+12b^2-12^2-9. Simplifying gives us the answer which is 16b^4-9

Answer:

[tex]16b^4-9[/tex]

Step-by-step explanation:

When multiplying binomials, we can use a method called FOIL (First-Outside-Inside-Last).

For [tex](t_1+t_2)(t_3+t_4)[/tex], let:

[tex]t_1\implies \text{First Term},\\t_2\implies \text{Second Term},\\t_3\implies \text{Third Term},\\t_4\implies \text{Fourth Term}[/tex]

In the FOIL method, the steps go:

[tex]\text{\textbf{F}irst: Multiply the first and third terms (first term of each binomial)},\\\text{\textbf{O}utside: Multiply the first and fourth terms},\\\text{\textbf{I}nside: Multiply the second and third terms},\\\text{\textbf{L}ast: Multiply the second and fourth terms (last term of each binomial) }[/tex]

Given [tex](4b^2+3)(4b^2-3)[/tex], we have:

[tex]\text{First: }4b^2\cdot 4b^2,\\\text{Outside: }4b^2\cdot -3,\\\text{Inside: }3\cdot 4b^2,\\\text{Last: }3\cdot -3,\\\rightarrow 16b^4-12b^2+12b^2-9[/tex]

Combine like terms:

[tex]\boxed{16b^4-9}[/tex]

Answer:

14

Step-by-step explanation:

23

Answer:

7. 1/10 or 10%

9.5/10

11.5/10

13.9/10

Step-by-step explanation: