Which expression is equivalent to 5(a + b) ?

A. 5a + 5b
B. a + 5b
C. 5a + b
D. a(5 + b)

Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9

Answer:

e.

Step-by-step explanation:

Answer:

d. 16 feet

Step-by-step explanation:

x² + 12² = 20²

x² + 144 = 400

x² + 144 - 144 = 400 - 144

x² = 256

√x² = √256

x = 16

a) Very unlikely (1/30)

b) Unlikely (6/30)

c) Likely (15/30)

mark me brainliestt :))

Answer:

solving a quadratic equation by factoring

using the quadratic formula

Step-by-step explanation:

the other asnwers dont make any sense. but just take my word for it.

Answer: 2 5/8 Cups

Step-by-step explanation:

Cups of flour he have = 1 3/4

= 7/4

Batch of biscuits made = 2/3

Flour to make a full batch

7/4 / 2/3 = 2 1/8

= 2 5/8 Cups

Hope it helps

Answer:

Step-by-step explanation:

Correct choice is B

Answer:

i think the endocytosis

Step-by-step explanation:

Answer: $11.30 per pound

Step-by-step explanation:

William spent $110.74 to buy 9.8 pounds of candy.

To find the cost per candy, divide the amount spent by the quantity of candy:

=Amount spent on candy / Quantity of candy

= 110.74 / 9.8

= $11.30 per pound

Answer:

Option B

Step-by-step explanation:

Given function is,

f(x) = -|x - 4| + 6

By using a graphing tool we can get the graph of the given function.

From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.

Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].

Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].

Option B will be the correct option.

Answer:

150% increase

Answer:

13y = 52

Step-by-step explanation:

6x - 6x + 4y + 9y = (46 + 6)

6x - 6x + 4y + 9y = 52

0 + 4y + 9y = 52

0 + 13y = 52

13y = 52

(p.s. y = 4)

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

Step-by-step explanation:

what is the center of the circle !

Answer: 12.24744871

Hope this helps!!! :)

Answer:

Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

a 2 and 3 step by step exolaniation

I'll do the first two to get you started

See the diagram below for the filled out answers.

====================================================

Problem 1

You are correct in saying that 10 goes in the first box. This is from 2*5 = 10 when you apply the distributive property a*(b+c) = a*b+a*c.

For the next box, you'll have x go inside it. This is because we subtract 2x from both sides and then note how 3x-2x becomes x. This x is found on the right side of the third line.

For the last box, we have 9 go inside it. This is from subtracting 1 from both sides, so 10-1 becomes 9.

Answers:

in that order

====================================================

Problem 2

We add 2y to both sides so that 3y becomes 5y. Ie, 2y+3y = 5y

As a way to check the answer, note how 5y is on the left side of line 2.

Then we'll add 4 to both sides. So 6 updates to 6+4 = 10 on the right side. We type 10 in the second box.

The last step is to divide both sides by 2. The equation 5y = 10 solves to y = 2

Answers:

in that order

See the diagram below for the filled out answers.

Answer:

C = pi d

C = 3 × 36

C = 108

nu t2uejtsg

nfahnrhahath

hth

tah

at

hwtt

h

ath

afh

fa

haf

hf

tww

needed to be 20 characters long.....

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

Answer:

Step-by-step explanation:

mass of person decreased=50kg-40kg

=10kg

decrease percentage=10/50*100

=10*2

=20%

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(64) = x / 94

Multiply both sides by 94.

94sin(64) = 94x / 94

Simplify

x = 94sin(64)

x = 84.487 = 84.5

Answer:

x+41=90

Step-by-step explanation:

Because that is square which means 90 degrees so 41 degrees plus x equals to 90

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The second option, [tex]\boxed{x+41=90}[/tex].

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We can use the information given to set up an equation.

[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]

Option B matches the equation made. Therefore, option B should be the correct answer.  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

[tex]v= (r\cos\theta,r\sin\theta)[/tex]

, where r = magnitude and [tex]\theta[/tex] = angle .

As per given,

[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]

[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]

Consider

[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]

Hence, the correct option is <8.01, 5.60>.

Answer:

The circumference of a circle

Step-by-step explanation:

Hope this helped you out :)

Answer:

2π r is how you find the circumference of a circle so the answer is the second option .