A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2(18)+3(18) to model the total cost for the family, and Alex used the expression 5(18). Which property of operations makes both of their expressions correct? O associative property O commutative property O distributive property identity property​

Answers

Answer 1

Answer:

distributive property

Step-by-step explanation:

5(18)=2(18)+3(18)

Distributive property

c(a+b) = ca+cb

We are using the left hand side and adding a+b

18(2+3) = 2* 18+ 3*18

18*5 =  2* 18+ 3*18


Related Questions

Brian completed a 100 meter race in 11.74 seconds.Luis completed the race in 11.69 seconds.What was the difference between their times expressed as a fraction of a second?

Answers

Answer:

1 / 20

Step-by-step explanation:

Brian = 11.74 seconds

Luis = 11.69 seconds

Difference between their times :

11.74 - 11.69 = 0.05

Expressed as a fraction of a second :

0.05 / 1 = (0.05 * 100) / (1 * 100) = 5 /100 = 1/20

Please help with 8 the last question

Answers

Answer:

First choice, 25

Step-by-step explanation:

200 times 1/8 = 200/8 = 25

This scatter plot and line of best fit shows the relationship between the height and the mass of 15 different dog breeds.The circled point in the scatter plot correspond to Afghan Hound.What conclusion can be drawn about the predicted mass and the actual mass of Afghan hound?

Answers

Answer:

A

Step-by-step explanation:

The steps shown can be used to prove that the medians of a triangle meet at a point.


Triangle A B C is shown on an x and y-axis. Lines are drawn from each point to the opposite side and intersect at point G. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), and point E is at (a, b).


1. Define segments BD and CE as medians of triangle ABC.

2. Write linear equations for Line B D and Line C E.

3. Use a system of linear equations to solve for the coordinates of intersection point G.

4. Write the equation of Line A G.

5. Write an expression for the midpoint of BC, point F.

6. ?


Write a linear equation for each side of the triangle.
Write an expression for the midpoint of AC and BC.
Show that A F is congruent to BD and CE.
Show that A F is the median of BC.

Answers

Answer:

D

Step-by-step explanation:

EDGE

Answer: Show that A F is the median of BC.

Step-by-step explanation:

Krystal is comparing two internet service plans . Plan 1 costs $134.97 every 3 months. If krystal plans to stay with one service plans for 1 year, which which choose? How much will she save?

Answers

Answer: See explanation

Step-by-step explanation:

Here's the correct question:

Krystal is comparing two internet service plans. Plan 1 cost $34.99 per month. Plan 2 costs $ 134.97 every 3 months. If Krystal plans to stay with one service plan for 1 year which should she choose? how much will she save?

Cost of plan 1 per month = $34.99 per month. Therefore, the cost for the year would be:

= 12 × $34.99

= $419.88

Plan 2 cost $134.97 for 3 months. Therefore the cost for the year would be:

= 4 × $134.97

= $539.88

She would choose the first plan as it's cheapee. She would also save:

= $539.88 - $419.88

= $120

Which one do I have to chose

Answers

Answer:

The top one I think

Step-by-step explanation:

Answer plz I will correct answer as brainliest

Answers

x is equal to 30 (vertically opposite angles)

y=180-50
=130 degrees (angles in a straight line equal to 180)

z=180-130-30 (angle sum of a triangle equal to 180)
z=20 degrees

Find the value of X.....

Answers

Answer:

64

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

46      46 + 46

----- = -------------

32           x

Then 46x = 2(46)(32), and so x works out to 64.

Answer:

64

Step-by-step explanation:

Hope this helped :)

Someone deleted some of my answers even though they were correct.  I don't know why.

Estimate the cost of painting the inner
wall of a well, if the depth of the well is
14 ft and the diameter is 8 ft. The cost of
painting 2.5 sq. ft is 20.​

Answers

Answer:

2816 rupees

Step-by-step explanation:

here , depth = 14 ft

diameter = 8 feet

so , radius = 4 ft

We will paint it in its C.S.A.

C.S.A. of a cylindrical well

= 2πrh

= 2×(22/7)× 4 × 14

= 352 ft²

so,

cost = rate per unit area × area

= (20/2.5)×352

= 8×352

= 2816

so,the cost of the painting will be 2816 rupees

15. A soccer ball kicked into the air reaches 15 feet in 3 second and falls to 4 points
3 feet after 5 seconds. What is the rate of change between the 3rd second
and the 5th second? Hint: your ordered pairs should be (times in seconds,
height in feet). Your answer should be in feet/s. *

Answers

Answer:

2.6 ft/s

Step-by-step explanation:

Given that a soccer ball kicked into the air reaches 15 feet in 3 second. The first rate or speed will be:

Rate 1 = 15/3 = 5 feet/s

and falls to 3 feet after 5 seconds. Also, the second rate or second speed will be:

Rate 2 = ( 15 - 3 ) / 5

Rate 2 = 12 / 5

Rate 2 = 2.4 ft/ s

What is the rate of change between the 3rd second and the 5th second? That is, the change in speed. Which can be expressed as:

The rate of change = 5 - 2.4

The rate of change = 2.6 ft/s

What are the coordinates of the point on the directed line segment from (-8, 5)(−8,5) to (4, -3)(4,−3) that partitions the segment into a ratio of 5 to 3?

Answers

Answer:

(2, -7/2)

Step-by-step explanation:

According to the midpoint theorem;

M(X, Y) = [(ax1+bx2/a+b), ay1+by2/a+b ]

(x1, y1) and (x2, y2) are the coordinates

a:b is the given ratio

Given the following

Coordinate of the line segment (-8, 5) and (4, -3)

Ratio: 5:3

Get the X coordinate;

X = ax1 + bx2 / a+b

X = 5(-8) + 3(4)/5+3

X = -40+12/8

X = -28/8

X = -7/2

Get the Y coordinate

Y = ay1 + by2 / a+b

Y = 5(5) + 3(-3)/5+3

Y = 25-9/8

Y = 16/8

Y = 2

Hence the required coordinate is (2, -7/2)

The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per pound? (1 ton = 2,000 lbs.)

Answers

If $600=6 tons
$600=6*2000
$600=12,000
12000/$600=$20

It’s $20 per pound

Which expression is equivalent to 2 (t - 4) + 1

Answers

Answer:

Step-by-step explanation:

here you go

step 1

2 (t - 4) + 1  equation

step 2

2 (t - 4) + 1  simplify

2t+-8+1

step 3

2t+−8+1  combine terms

answer

2t-7

can you give brainliest if you dont mind

I need the answer right now please help me

Answers

Answer:

P+Q+R+S+T=540. then substitute x for result in p

Step-by-step explanation:

i would work it out but im lazy sorry

In a pentagon, there are 540 degrees

First, find x.

Set up the equation

132 + (4x+2) + 128 + (5x -11) + (4x - 10) = 540

Combine like terms

260 +13x -19 = 540

241 + 13x = 540

solve

13x = 299

x = 23

Now plug x in to angle p (4x + 2)

4(23) + 2

92 + 2 = 94

Therefore angle P = 94 degrees

IXL- 8th grade math- W.14

Screen-printing a batch of shirts requires 1 minute per shirt in addition to 4 minutes of initial set-up time. If it takes 41 minutes to screen-print a bath of shirts, how many shirts are in the batch?

Answer with the amount of shirts.

Answers

Answer:

There are 37 shirts in the batch.

Step-by-step explanation:

Since it takes an initial 4 minutes to set up the screen-printer, we can subtract 4 from 41 minutes to get the time used to print the shirts.

41 - 4 = 37

Since each shirt requires 1 minute of screen printing and there are 37 minutes, we can divide 37 by 1.

37 / 1 = 37

So there are 37 shirts in this batch. Hope this helps.

if a+2b/3=2/c^9
what is 4/b

Answers

Answer:

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

Step-by-step explanation:

Given the expression

[tex]a+\frac{2b}{3}=\frac{2}{c^9}[/tex]

subtract a from both sides

[tex]a+\frac{2b}{3}-a=\frac{2}{c^9}-a[/tex]

Simplify

[tex]\frac{2b}{3}=\frac{2}{c^9}-a[/tex]

Multiply both sides by 3

[tex]\frac{3\cdot \:2b}{3}=3\cdot \frac{2}{c^9}-3a[/tex]

Simplify

[tex]2b=\frac{6}{c^9}-3a[/tex]

Divide both sides by 2

[tex]\frac{2b}{2}=\frac{\frac{6}{c^9}}{2}-\frac{3a}{2}[/tex]

Simplify

[tex]b=\frac{6-3ac^9}{2c^9}[/tex]

Calculating 4/b

[tex]\frac{4}{b}=\frac{4}{\frac{6-3ac^9}{2c^9}}[/tex]       ∵ [tex]b=\frac{6-3ac^9}{2c^9}[/tex]

[tex]\frac{4}{b}\:=\frac{4\:\times \:\:2c^9}{6-3ac^9}[/tex]

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

Therefore, we conclude that:

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

Can someone please help this these

Answers

Answer:

To the first picture: it's 9

To the second: its sin3/5

Step-by-step explanation:

This would take some time to explain so I'll keep it brief

Pic 1) process of elimination through cos

Pic 2) You divide the opposite by the hypotenuse to get the degree of angle x

Please help due in 10 minutes

Answers

2x + 46 is your answer
2x+46 should be the answer! :)

I will mark branliest!

Answers

Your answer is C!..........:)

Answer:

C

Step-by-step explanation:

If he collects 25 cans everyday,

and you use -s- for the number of days.

Multiply to get the total amount of cans.

Solve the following: 5(2x+1)=50

Answers

Answer:

x = 9/2

Step-by-step explanation:

Answer:

x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

Given

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

PLZ HELP!!! I HAVE ONLY 15 MINUTE LEFT BEFORE CLASS IS OVER!!!!

Answers

Answer:

268

Step-by-step explanation:

268.


I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

What is the slope of the line that passes through the points (−4,−3) and (14,0)?

Answers

Answer:

[tex]m=\frac{1}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, -3)

Point (14, 0)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{0+3}{14+4}[/tex]Evaluate Addition:                                   [tex]m=\frac{3}{18}[/tex]Simplify:                                                   [tex]m=\frac{1}{6}[/tex]

find the zeros (roots) of the following equations.
f(x) = 2x^5-9x^4+12x^3-12x+10x-3=0
I need to find five roots​

Answers

9514 1404 393

Answer:

  x ∈ {1/2, 1, 3, i, -i}

Step-by-step explanation:

We assume your function is supposed to be ...

  f(x) = 2x^5 -9x^4 +12x^3 -12x^2 +10x -3=0

I find it convenient to use a graphing calculator to find the real roots of higher-degree polynomials. The attached shows the real roots are ...

  x = 1/2, 1, 3

Factoring those out leaves the quadratic factor ...

  x^2 +1 = 0

That one has roots ±i.

So, the full complement of roots is ...

  x ∈ {1/2, 1, 3, i, -i}

_____

Descartes' rule of signs tells you the real roots are all positive. The rational root theorem tells you that rational roots are in the set {1/2, 1, 3/2, 3}. The sum of coefficients is 0, telling you that x=1 is a real root.

Factoring that from the polynomial leaves the 4th-degree factor ...

  2x^4 −7x^3 +5x^2 −7x +3 . . . . . division shown in 2nd attachment

For x=1, this has a negative value (-4), so you know there is a root between f(0) =3 and f(1) = -4. The only rational choice is 1/2.

Similarly, factoring that from the polynomial (along with a factor of 2) leaves the cubic ...

  x^3 -3x^2 +x -3 . . . . . division shown in 3rd attachment

This is clearly factorable by grouping to (x -3)(x^2 +1), so we have our third real root and the quadratic that yields the complex roots.

What is 40% of 500? Please help!!

Answers

Answer:

40/100 times 500=200

Step-by-step explanation:

Figure ABCD is a parallelogram. use what you know about the properties a parallelograms to solve for x and find the measures of

Answers

Answer:

Step-by-step explanation:

opposite angles are congruent

somebody can give me a redeem code pls​

Answers

Answer:

Lol for what

Step-by-step explanation:

What is the additive inverse of 9x-15

Answers

Answer:

[tex]-9x+15[/tex]

Step-by-step explanation:

[tex]As\ the\ additive\ inverse\ of\ any\ number\ a\ is\ b,\ where,\\a+b=0\\Or, b=-a\\Hence, here, \\In\ order\ to\ find\ the\ additive\ inverse\ of\ 9x-15, we\ just\ add\ the\\ expression\ with\ b\ and\ equate\ it\ to\ 0.\\Hence,\\(9x-15)+b=0\\Hence,\\b=-(9x-15)\\b=-9x+15[/tex]

The data show the number of viewers for television stars with certain salaries. Find the regression​ equation, letting salary be the independent​ (x) variable. Find the best predicted number of viewers for a television star with a salary of ​$33 million. Is the result close to the actual number of​ viewers, 3.03.0 ​million? Use a significance level of 0.05.

Answers

Answer:

y = 5.064 - 0.010x

Here, in this question x = 33

y = 4.734 million views

In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.

Step-by-step explanation:

First of all, this question is incomplete. It lacks the data needed to calculate the required things.

So, I  figured out the question and I will try my best to solve the question at hand.

I have calculated the some data sheet in excel. Please refer to the attachment for that data.

let a be the salaries

b be the viewers

[tex]S_{aa}[/tex] = ∑[tex]a^{2}[/tex]  - [tex]\frac{ Summtion a^{2} }{n}[/tex]

[tex]S_{aa}[/tex] = 7522.8571

[tex]S_{bb}[/tex] = ∑[tex]b^{2}[/tex]  - [tex]\frac{ Summtion b^{2} }{n}[/tex]

[tex]S_{bb}[/tex] = 47.1943

[tex]S_{ab}[/tex] = ∑[tex]ab^{}[/tex]  - [tex]\frac{ Summtion a x Summation b^{} }{n}[/tex]

[tex]S_{ab}[/tex] = -76.8286

Now the slope of the required regression equation is:

Slope =  [tex]S_{ab}[/tex]/[tex]S_{aa}[/tex] = -76.8286/7522.8571 = -0.010

And the intercept of the required regression equation:

intercept = [tex]\frac{1}{n}[/tex] x (∑b - slope x ∑a) = 5.064

So, the regression equation will be:

y = intercept + slope x

y = 5.064 - 0.010x

Here, in this question x = 33

y = 5.064 - 0.010 (33)

y = 4.734 million views

PLEASE HELP ASAP
What is the solution to the system of equations graphed below?
y = 3x + 2
y = -2x - 3

Answers

Answer: x = -1; y = -1

y = 3x + 2

y = -2x - 3

⇔ y = 3x + 2

   3x + 2 = -2x - 3

⇔ y = 3x + 2

    5x = -5

⇔ y = 3x + 2

    x = -1

⇔ y = -1

    x = -1

Step-by-step explanation:

Will give Brainliest!! This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality? Number of Teachers A line graph titled Number of Teachers has number of students on the x-axis, and number of teachers on the y-axis. For every 60 students, there are 4 teachers; 120, 8. StartFraction 1 over 25 EndFraction StartFraction 1 over 20 EndFraction StartFraction 1 over 15 EndFraction StartFraction 1 over 10 Will Give brainliest!

Answers

Answer:

C

Step-by-step explanation:

Answer:

C) 1/15

Step-by-step explanation:

Other Questions
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