Simplify by combining like terms: (5a + 3b) + 2(a – 3b)

Answer:

The box has 11 layers

Step-by-step explanation:

Since there are 363 balls and each layer has 33 balls, we have to divide 363 by 33.

363÷33= 11

So, there will be 11 layers in the box.

Hope this helps!

Answer:

x=11.75

Step-by-step explanation:

Answer:

slope=8

y intercept=-9

Step-by-step explanation:

the equation is in the form y=mx+b

where m is the slope and b is the y intercept.

Answer:

m∠BCD = 140°

m(arc BCD) = 80°

m(arc BAD) = 280°

Step-by-step explanation:

Let us use these facts to solve the question

∵ ABCD is a cyclic quadrilateral in circle O

∵ ∠BAD and ∠BCD are opposite angles

→ By using the 1st fact above

∴ m∠BAD + m∠BCD = 180°

∵ m∠BAD = 40°

∴ 40° + m∠BCD = 180°

→ Subtract 40° from both sides

∴ 40° - 40° + m∠BCD = 180° - 40°

∴ m∠BCD = 140°

∵ Arc BCD subtended the inscribed ∠BAD

→ By using the 2nd fact above

∴ m(arc BCD) = 2(m∠BAD)

∵ m∠BAD = 40°

∴ m(arc BCD) = 2(40°)

∴ m(arc BCD) = 80°

∵ Arc BAD subtended the inscribed ∠BCD

→ By using the 2nd fact above

∴ m(arc BAD) = 2(m∠BCD)

∵ m∠BCD = 140°

∴ m(arc BAD) = 2(140°)

∴ m(arc BAD) = 280°.

Answer:

x=20, Angles are 70° and 110°

Step-by-step explanation:

Angles are supplementary, so their sum is 180°

5x-30+x+90 = 180

6x+60 = 180

6x = 180-60

6x = 120

x = 20

5x-30 = 5*20 - 30 = 100 -30 = 70°

x+90 = 20 + 90 = 110°

Step-by-step explanation:

72° + (7x + 24) = 180

7x + (72 + 24) = 180

7x = 180 - 96

7x = 84 divide both sides by 7

x = 12

Answer:

x = -3

Step-by-step explanation:

f(x)= x + 3

0 = x + 3

-x = 3

x = -3

Answer:

Option (4)

Step-by-step explanation:

cos(a + b) = cos(a)cos(b) - sin(a)sin(b) [Identity]

Since, sin(a) = [tex]\frac{2}{5}[/tex] for a in quadrant II

Therefore, cos(a) = [tex]\sqrt{1-\text{sin}^2(a)}=\sqrt{1-(\frac{2}{5})^2}[/tex]

cos(a) = [tex]\frac{\sqrt{21}}{5}[/tex]

But cosine of a is negative quadrant II

Therefore, cos(a) = -[tex]\frac{\sqrt{21}}{5}[/tex]

And cos(b) = [tex]\frac{1}{3}[/tex] for b in quadrant IV

Therefore, sin(b) = [tex]\sqrt{1-\text{cos}^{2}b}[/tex]

                           = [tex]\sqrt{1-(\frac{1}{3})^2}[/tex]

                           = [tex]\frac{2\sqrt{2}}{3}[/tex]

But sine of an angle is negative in quadrant IV,

Therefore, sin(b) = [tex]-\frac{2\sqrt{2}}{3}[/tex]

Now substituting these values in the identity,

cos(a + b) = [tex](-\frac{\sqrt{21}}{5})(\frac{1}{3})-(\frac{2}{5})(-\frac{2\sqrt{2}}{3})[/tex]

                = [tex]-\frac{\sqrt{21}}{15}+\frac{4\sqrt{2}}{15}[/tex]

                = [tex]\frac{4\sqrt{2}-\sqrt{21}}{15}[/tex]

Therefore, Option (4) will be the answer.  

Answer: D

Step-by-step explanation:

Edge 2021

Answer:

24

Step-by-step explanation:

you 8times3=24

2.5 miles a hour ( 2.666666666666667 miles an hour) lemme know if im

right !

Answer:

A

Step-by-step explanation:

It’s not B, because it’s saying each pound is 1.25 multiplied by the cost. We are looking for the cost, not the amount of pounds.

it isn’t C, because the oranges are sold in 3 pound bags, and the equation is comparing the cost of a 3 pound bag to 1 pound of oranges.

And it isn’t D, because D does the same thing as B, but with The cost of a 3 pound bag.

An equation is formed of two equal expressions. The correct option is A, c=1.25p.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the farm stand sells oranges in 3-lb bags for $3.75. Therefore, the cost of the oranges for a pound is,

Cost of a pound of oranges = $3.75 / 3

                                              = $1.25

Now, if the cost,c for p pounds of oranges is,

Cost, c = Cost of a pound of oranges × Number of pounds

            = $1.25 × p

      c = 1.25p

Hence, the correct option is A, c=1.25p.

Learn more about Equation here:

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Answer:

(0,5) or 5

Step-by-step explanation:

the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^

Answer:

0,5

Step-by-step explanation:

So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y.  The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.

Answer:

y = 3 tan(x)+2

Step-by-step explanation:

The function y = 3 tan(x)+2 is shown in the provided graph option 3th is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The missing figure is in the picture refer to the picture.

As we have a trigonometric function.

In the picture, the graph of a tanx is shown but 2 units up.

Thus, the function y = tan(x) + 2 is shown in the provided graph option 3rd is correct.

Learn more about trigonometry here:

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Answer:

25

Step-by-step explanation:

If Juan's mother forgave his debt of -$13, then Juan will have $25 left after paying back his initial loan and making a profit of $12.

Juan's money = $12 + $13

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

If Juan's mother forgave his debt of -$13, then it means that Juan received $13 from his mother instead of owing her $13. So the equation that shows the amount of money Juan will have is:

Juan's profit = Juan's earnings - Juan's expenses

Juan's profit = $25 - $13

Juan's profit = $12

This means that after paying back his loan and making a profit of $12, Juan will have no money left.

If we want to include the amount he initially borrowed, we can modify the equation as follows:

Juan's money = Juan's earnings  + Juan's initial loan

Juan's money = $25 - $13 - $13

Therefore, the equation is Juan's money = $12 + $13

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Question:

Which operation should be performed first to simplify the expression below?19-2×8÷4+6

Answer:

I'm pretty sure you multiply first because PEMDAS  (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) says you go left to right and do multiplication or division first, so I would say it'd be multiplication.

Answer: 8 weeks I believe

Step-by-step explanation:

12+6=18

18+6+6+6+6+6+6+6=60

or 18+42=60

If × denotes the Cartesian product, and if a ∈ A and b ∈ B, then (a, b) ∈ A × B.

First prove that A × (B - C) ⊆ (A × B) - (A × C):

Let a ∈ A and b ∈ B - C.

By definition of the product, (a, b) ∈ A × B.

By definition of complement, b ∈ B and b ∉ C.

So (a, b) ∈ A × B and (a, b) ∉ A × C.

By definition of complement, (a, b) ∈ (A × B) - (A × C).

Therefore, A × (B - C) ⊆ (A × B) - (A × C).

Prove the other direction, that (A × B) - (A × C) ⊆ A × (B - C):

Let (a, b) ∈ (A × B) - (A × C).

By definition complement, (a, b) ∈ (A × B) and (a, b) ∉ (A × C).

By definition of the product, a ∈ A, b ∈ B, and b ∉ C.

By definition of complement, b ∈ B - C.

By definition of the product, (a, b) ∈ A × (B - C).

Therefore, (A × B) - (A × C) ⊆ A × (B - C).

Hence the two sets are equal. QED

Put it over 100.

(54 2/7)/100

Simplify.

19/35

Answer: t-186

Step-by-step explanation:

Answer:

t - 186

Step-by-step explanation:

There's really no math involved in this one. Since t is a variable, all you have to do is write out the answer as t - 186.

Answer:

y=2x-5/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

5,7,9

trust the process.

Answer:

wouldn't it just be 8 and 1/6?

Step-by-step explanation:

because 8 1/6 - 1/6 would be 8

Answer:

So what are you trying to figure out bc I may be able to help

Answer:

It’s to blurry for me ☹️

Step-by-step explanation:

I need my glasses

Answer:

p=8

Step-by-step explanation:

Answer:

y = 1/2x + 5

Step-by-step explanation:

I checked it on desmos

Answer: 40 games

Step-by-step explanation: 20/0.5=40

Answer:

the answer is d

Step-by-step explanation:

no explanation i did it before lol