Ernise evaluated the expression 10(3 + 5) like this:
Step 1: 10.3 + 10.5
Step 2: 30 + 50
Step 3: 80
Which mathematical property was she using?

Answers

Answer 1

Answer:

distributive property

Dist. can be identified by x(y+z)


Related Questions

Here’s another one thank u all for helping me. I really appreciate it!

Answers

C = circumference of circle with radius r

C = 2*pi*r

C = 2*3.14*3500

C = 21,980

C = 22,000 rounding to 2 significant figures (3500 is also 2 sig figs)

Answer is choice C

The length of a picture frame is 8 inches more than the width. For what values of x is the perimeter of the picture frame greater than 152 inches.

Answers

For, "x" greater than 34, the perimeter of the picture frame greater than 152 inches

Solution:

Let "x" be the width of the frame

Given that, The length of a picture frame is 8 inches more than the width

Therefore,

Length = width + 8

Length = x + 8

The perimeter of rectangle is given by formula:

Perimeter = 2(length + width)

Substituting the values we get,

Perimeter = 2(x + 8 + x)

Perimeter = 2(2x + 8)

Perimeter = 4x + 16

The perimeter of the picture frame greater than 152 inches

Perimeter > 152

[tex]4x + 16>152\\\\\text{Subtract 16 from both sides of inequality}\\\\4x + 16 - 16 > 152 - 16\\\\4x>136\\\\\text{Divide both sides by 4}\\\\x>34[/tex]

Therefore, for, "x" greater than 34, the perimeter of the picture frame greater than 152 inches

Answer:

x>35

Step-by-step explanation:

which angle is supplementary to DFA?​

Answers

Answer:

<AFB

Step-by-step explanation:

Supplementary angles are the angles that's sum up to 180° which is called a straight angle.

In this question we see AFB is supplementary to DFA for DFB is the straight angle.

The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the rectangle.

Answers

Answer:the answer  is a

Step-by-step explanation:

Answer:

[tex]1\frac{1}{2}x + 4[/tex]

Step-by-step explanation:

We are given the Perimeter: P = Perimeter[tex]3\frac{1}{2}x + 18[/tex]    in decimal 3.5x+18

we know that a Perimeter is equal to all sides added up: S1+S2+S3+S4=P

we know that this is a rectangle so that means that it has 4 sides and two sides are the same and the other 2 are the same.

We are given the the height on the image

Height: H = [tex]\frac{1}{4}x + 5[/tex]  in decimal 0.25x + 5

That height is one side so we know another of the sides is the same.

Perimeter is equal to all sides added up. So we have to subtract the sides to find out each ones measurements.

(Height x 2) + (Width x 2) = Perimeter

Therefore we know the height which is given on the image is 0.25x+5 so that times 2 = 0.5x+10    (height x 2)

so now we can subtract the heights from the perimeter.

  3.5x  +  18

-  0.5x  +  10

--------------------

  3x     +    8

So we got rid of both heights. Now we are left with our two lengths:

3x+8  = (length x 2)

To get the length of one side we divide that by 2 because there are 2 sides that have the same length and get 1.5x+4  in fractions that is:

  [tex]1\frac{1}{2}x + 4[/tex]

I hope this helped you or anyone else that needs the answer :)

What is the sale price of a toy rocket originally priced at $92?

Answers

What is the mark down

Answer:

$69

Step-by-step explanation:

1 - 0.25 = 0.75

original price * (1 - markdown) = sale price

$92 * 0.75 = sale price = $69

A trapezoid was broken into a rectangle and a triangle. A trapezoid is broken into a rectangle and a triangle. The rectangle has a base of 8 centimeters and a height of 6 centimeters. The triangle has a base of 2 centimeters and a height of 6 centimeters. What is the length, b, of the base of the triangle?

Answers

Answer:

4 cm

Step-by-step explanation:

this is the answer on egde:)

Answer: 2

Step-by-step explanation:

I got it right on a unit test review

If the butcher paper is 21 inches long,what is the area of one circle

Answers

Answer:

=[tex]12.25[/tex][tex]\pi[/tex]

Step-by-step explanation:

Given:

Length of  butcher paper,(diameter of three congruent circle) = 21 inches

Means, diameter of a circle = [tex]\frac{21}{3}[/tex] = 7 inches

Questioned asked:

Area of one circle = ?

Solution:

Radius of a circle ,r = half of of one circle's diameter

                           r = [tex]\frac{7}{2}[/tex]

                            = [tex]3.5[/tex]

Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

                      [tex]3.5\times3.5[/tex] [tex]\pi[/tex]

                      =[tex]12.25[/tex][tex]\pi[/tex]

                     

  Therefore, Area of one circle   ==[tex]12.25[/tex][tex]\pi[/tex]

17x+6y=17 in slope intercept form

Answers

Answer:

6y = -17x + 17

Step-by-step explanation:

All you have to do for this equation to put it into slope-intercept form is to minus 17x from both sides giving you 6y = -17x + 17 which is the correct form. Then you can simplify by dividing everything by 6 but I'll let you do that.

i think y = -17/6x + 17/6 is the answer

Write and solve a word problem to match the equation 6×?=48

Answers

Answer:

Jack has 48 rockets in all. He wants to split them equally into 6 groups. How much rockets do he put into each group?

Let "how much" = x. Set the equation:

x * 6 = 48

(x * 6)/6 = (48)/6

x = 48/6

x = 8

8 groups is your answer.

~

4/5 ÷ 7/6 + 2/7 ∙2 1/5

Answers

The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]

Step-by-step explanation:

We have,

[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]

To find, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] = ?

[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]

[tex]=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}[/tex]

[tex]=\dfrac{24}{35} +\dfrac{16}{35}[/tex]

Taking LCM of denominator, we get

[tex]=\dfrac{24+16}{35}[/tex]

[tex]=\dfrac{40}{35}[/tex]

Dividing numerator and denominator by 5, we get

[tex]=\dfrac{8}{7}[/tex]

∴ The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]

Hence, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] is equal to [tex]\dfrac{8}{7} .[/tex]

Solve for f. -f+2+4f=8-3f

Answers

Hope it will help u..............

I need help please and thank you

Answers

Answer:

122 degree

Step-by-step explanation:

As we know that

Sum of all angles of triangle = 180 degree

Angle A + Angle B + Angle C = 180

Angle A + 43 + 15 = 180

Angle A + 58 = 180

Angle A = 180-58

Angle A = 122

(Compound inequalities)
Solve for x.
-8x + 3 ≥ 27 and -13x + 5 ≥ 57
Choose 1 answer:
A: x ≤ -4
B: x ≤ -3
C: -4 ≤ x ≤ -3
D: There are no solutions
E: All values of x are solutions

Answers

Answer:

C: -4 ≤ x ≤ -3

Step-by-step explanation:

-8x + 3 ≥ 27

x ≤ -3

-13x + 5 ≥ 57

x ≤-4

It’s A y’all mad goofy for choosing C

X < -4

A man drove x miles per hour for 3e hours and (2x-60) miles per hour for the next 4.75 hours. Express the total distance he traveled in terms of x

Answers

Answer:

A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.

Total distance covered by the man in terms of 'x' = (12.5x-285)miles

Step-by-step explanation:

Given:

Speed of  a man = 'x' miles/hour

Time taken = [tex]3[/tex] hour

So, distance = product of speed and time.

Distance covered in term of 'x' [tex]=(d_1=3x)[/tex]

Now,

Speed = [tex](2x-60)[/tex] miles/hour

Time taken= [tex]4.75[/tex] hours

Distance [tex](d_2)[/tex]  = [tex](2x-60)\times 4.75[/tex]

                      = [tex](2x\times 4.75) -(60\times 4.75)[/tex]

                      = [tex](9.5x - 285)[/tex] miles

Total distance covered by the man = Summation of  [tex]d_1[/tex] and [tex]d_2[/tex]

                                                           = [tex](9.5x-285+3x)[/tex]

                                                           = [tex](12.5x-285)[/tex] miles

So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.

If f( n ) = - 5 n - 2, then f(3) is

Answers

Answer:

-17

Step-by-step explanation:

f(n)=-5n-2

f(3)=-5(3)-2

f(3)=-15-2

f(3)=-17

The recommended angle for a wheelchair ramp is 5 degrees. If the rise of the ramp to go up the steps is 5 feet, find the horizontal run length that the ramp must start. (Round to one decimal place)

Answers

Answer:

[tex]57.2\ ft[/tex]

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

[tex]tan(5^o)=\frac{y}{x}[/tex]

we have

[tex]y=5\ ft[/tex]

substitute and solve for x

[tex]tan(5^o)=\frac{5}{x}[/tex]

[tex]x=\frac{5}{tan(5^o)}[/tex]

[tex]x=57.2\ ft[/tex]

If 3/4 = x/8, then x is equal to __.

Answers

Answer:

6

Step-by-step explanation:

if 3/4 = x/8 then x = 6 because you have to multiply 4 by 2 to get 8. in the same way 3×2 = 6

plz give me brainliest, i just need 3 more until expert plz plz plz


Evaluate the expression when y=-6.
y² + 7y - 5

Answers

Answer is -11 hope this helps
Final answer:

When y is equal to -6, the evaluation of the formula [tex]y^2 + 7y - 5[/tex] is -11.

Explanation:

In order to assess this mathematical statement when y=-6, we substitute -6 for y in the expression y² + 7y - 5.

In the expression, swap out y for -6. This gives us (-6)² + 7(-6) - 5.Total up each component. 36, 42, and 5 are the results. Addition and subtraction are to be done left to right. 36 - 42 therefore equals -6, and -6 - 5 equals -11.

This evaluation's outcome is a score of -11.

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Please help me asap

What is the equation for the line?

Enter your answer in the box.

the graph is below

Answers

The equation of a line is y = mx + b  [m is the slope, b is the y-intercept or the y value when x = 0  ---->  (0, y) or the point where the line goes through the y-axis]

To find the slope, you use the slope formula (m):

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]           and plug in 2 points

I will use the points (0, 0) and (1, 8)

(0, 0)  ---->  (x₁, y₁)

(1, 8) ---->   (x₂, y₂)

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

[tex]m=\frac{8-0}{1-0}[/tex]

m = 8

Since you know m, plug it into the equation.

y = 8x + b

The graph shows that the y-intercept is 0, so plug it into the equation

y = 8x    

How many times larger is the number 10 billion to the number 10 million?

Answers

Answer:

100 times bigger

Step-by-step explanation:

A billion is 100 times greater than ten million. This is because of the following:

Billion=1000000000=9 zeros

Ten million=10000000=7 zeros

If you take away 7 from 9 in equals 2 zeros. So, 2 zeros equal to 100.

A kite has a string that is 400 feet long, if the kite makes a 42 degree angle with the ground, whats the horizontal distance between the kite and its flyer?

Answers

Answer:

297.26 feet to the nearest hundredth.

Step-by-step explanation:

We use the cosine ratio here because we know the hypotenuse and need the adjacent side.

cos 42 = adj / hyp

= x / 400

x = 400 cos 42

x = 297.26 feet.

A quadrilateral has the following coordinates:

Point A: (4, 7)
Point B: (–4, 7)
Point C: (–4, –7)
Point D: (4, –7)

Enter the length of side CD.

Answers

Answer:

8 units

Step-by-step explanation:

-4 is 4 units from the y-axis

4 is 4 units from the y-axis.

4 + 4 = 8 units

Have a great day :D

Which equation shows the correct use of the distributive property?
-4(3/2x-1/2)=-15
1a. 6x+4=-15
2b. 2x-1/2=-15
3c. -6x-2=-15
4d. -6x+2=-15

Answers

Answer: 4

Step-by-step explanation:

Multiply 4 by 2/3 and 1/2 (calculator) or you can put 4 like 4/1 than multiply 4/1 *3/2 and 4/1 * 1/2

Top times top and bottom times bottom

The equation which shows the correct use of the distributive property is - 6x + 2 = -15

The Distributive Property is an algebraic property which is used to multiply a single term and two or more terms inside a parenthesis.

Given:

-4(3/2x - 1/2) = -15

multiply separately

-4(3/2x) -4(-1/2) = -15

-12/2x + 4/2 = -15

- 6x + 2 = -15

solve for x

-6x = -15 - 2

-6x = -17

x = -17/-6

x = 2.83

Therefore, the equation which shows the correct use of the distributive property is

- 6x + 2 = -15

Read more:

https://brainly.com/question/2807928

Are the ratios 8:16 and 1:2 equivalent?

Answers

Answer:

Yes! the ratio 8:16 is equivalent to 1:2

Carlos bought 5 tickets to a play for a total of
$20. The equation 5c = 20 can be used to find
the cost c in dollars of each ticket. How much
does each ticket cost?​

Answers

Answer:

Each ticket cost 4dollars

I think it would be 4 because you get the cost from dividing 20 and 5. Ps I'm 11

Use the Distributive
Property to express
28 + 56

Answers

Answer:

Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

For example, express 36 + 8 as 4 (9 + 2).

pls help me its easy but im lazy

Answers

Answer: Volume = a^4 * b^6

Step-by-step explanation:

Volume = (a^2*b)*(a*b^2)*(a*b^3)

Volume = a^2 * b * a * b^2 * a * b^3

Volume = a^4 * b^6

1/4x - 3/4x = 3 - 1/2x

Answers

Answer:

No solution.

Step-by-step explanation:

1/4x-3/4x=3-1/2x

-2/4x=3-1/2x

-1/2x+1/2x=3

0=3

no solution

Ramon has 7/8 of a cup of cottage cheese. How many 1/4 cup servings can he make?

Answers

Answer:

Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one

Step-by-step explanation:

1. What information was given to us to answer the question correctly?

Amount of cottage cheese Ramon has = 7/8 of a cup

2. How many 1/4 cup servings can he make?

For answering this question, we make this calculation:

7/8 * 1/4

7/8 * 4/1 = 28/8 = 7/2 or 3 1/2 cup servings

This means that Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one:

1/4 + 1/4 + 1/4 + (1/2 * 1/4) = 7/8

3/4 + (1/2 * 1/4) = 7/8

3/4 + 1/8 = 7/8

6/8 + 1/8 = 7/8

7/8 = 7/8

WILL AWARD 100 POINTS PLUS BRAINLIEST IF RIGHT

The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.

Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.

When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.

Answers

a)

During week 0, the number of specialty items produced at the old factory than at the new factory is 33

b)

Old factory

The growth rate from week 0 to week 1 is 20.

The growth rate from week 1 to week 2 is 22.

New factory:

The growth rate from week 0 to week 1 is 30.

The growth rate from week 1 to week 2 is 32.

c)

The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory

in week 4.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Old factory:

f(x) = 223 (1.09)^x

When x = 0,

f(0) = 223(1.09)^0 = 223(1) = 223

In zero weeks, the number of specialties produced is 223.

When x = 1,

f(1) = 223(1.09)^1 = 243.07 = 243

When x = 2,

f(2) = 223(1.09)^2 = 265.32 = 265

When x = 3,

f(3) = 223(1.09)^3 = 290.41 = 290

When x = 4:

f(4) = 223(1.09)^4 = 318.53 = 318

New factory:

(0, 190), (1, 220), (2, 252), (3, 290), (4, 337)

This means,

(0, 190)

In zero weeks, the number of specialties produced is 190.

Thus,

a)

During week 0, the number of specialty items produced at the old factory than at the new factory.

= 223 - 190

= 33

b)

The growth rates in the weekly number of specialty items produced at each factory.

Old factory:

The growth rate from week 0 to week 1 = (243 - 223)/(1 - 0) = 20/1 = 20

The growth rate from week 1 to week 2 = (265 - 243)/(2 - 1) = 22/1 = 22

New factory:

The growth rate from week 0 to week 1 = (220 - 190)/(1 - 0) = 30/1 = 30

The growth rate from week 1 to week 2 = (252 - 220)/(2 - 1) = 32/1 = 32

c)

The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory

in week 4.

i.e

f(4) = 223(1.09)^4 = 318.53 = 318

(4, 337)

318 < 337

Learn more about functions here:

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Answer: if your question is the same as mine, it should be correct!

Step-by-step explanation:

(a) 40 more specialty items, as 230 (initial value at the Old Factory) minus 190 is 40.

(b) y2 – y1/x2 – x1

252-220/2-1

32

(c) The new factory seems to have a faster production rate.

(d) Week 3 is the week when the production is faster at the New Factory.

p(w)=230(1.1)^w

p(w)=230(1.1)^3

p(w)=230(1.33100)

p(w)= 306.13

At week 3 for the Old Factory, it seems that there is less production happening than the 3rd week at the New Factory.

hopefully this helped :3

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