How can you use the properties of operations to evaluate this expression?
18 + 4(28). Explain.

Answers

Answer 1

Answer:

130.

Step-by-step explanation:

18 + 4(28(

= 18 + 4 * 28   Multiplication is done before addition so we have:

18 + 112

= 130.

Answer 2

Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.


Related Questions

A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1 : 2. The ratio between the volume of the small cone to that of the frustum is _ : _.

Answers

Answer:

1:1

Step-by-step explanation:

The ratio between the volume of the small cone to that of the frustum is 1:1.

Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.

The inside of a refrigerator in a medical laboratory measures 17 inches long by 18 inches wide by 42 inches high. How many cubic inches can it hold?

Answers

7,852 cubic inches

17*18*42

Answer:

12,852

Step-by-step explanation:

V= l*w*h

V=17*18*42

V= 12,852

What is the greatest common factor (GCF) of the terms in the polynomial 5y3−25y2+10y?

Answers

Answer: 5y

Step-by-step explanation:

[tex]5y^3-25y^2+10y\\5y(y^2-5y+2)[/tex]

Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

Answers

No, because side 11 is greater than the sum of the two other sides.

Answer:

No, this triangle is not possible

Step-by-step explanation:

By the Triangle Inequality Theorem, it should be that:

a + b > c,

a + c > b,        ⇒         a, b, and c are sides of this triangle

b + c > a

~ In this case let us say a = 4 inches, b = 6 inches, and c = 11 inches ~

4 + 6 > 11,

4 + 11 > 6,        ⇒         Here 10 is not greater than 3rd side and thus    

11 + 6 > 4                                        doesn't form a triangle

Find the area of the following parallelogram

Answers

Answer:

6 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

A = 3 *2 = 6 cm^2

An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60

Answers

Answer:

9*70

Step-by-step explanation:

It is not 9+70 or 9+60 because for this problem multiplication is required.

This problem seems to want you to round to the nearest ten's place.  Because the one's place in 68 is above 5, the number will round up.

This means that the answer will be 9*70

Answer:

9*70

Step-by-step explanation:

If 99 people have a mean incame of doolar 400, how much is the mean incame increased by the addition of a woman with an incame of doolar 1500​

Answers

The new mean will be (400*99+1500)/100=411
The mean increased by 11.

Answer:

Step-by-step explanation:

Mean income of 99 people = $ 400

Sum of income of 99 people = 400 * 99 = $ 39600

Income of a woman = $ 1500

Income of 100 people = 39600 + 1500 = $41100

Mean of 100 people = 41100/100 = $411

411 - 400 = $11

Mean income increases by $11

Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.

Answers

Answer: the answer is in the steps.

Step-by-step explanation:

6.25h ≤ 125.00

Please hurry!

Which of the following is true of the values of x and y in the diagram below?

A. y < x
B. y > x
C. y + x = 1
D. y/x = 1

Answers

Answer:

y/x = 1

Step-by-step explanation:

sin 45 = cos 45 = y /1 = x/1

so y = x

or y/x =1

Could you help me with this problem plz!!!

Answers

Is letter A the answer

A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.

Answers

Answer:y=2.5 x

Step-by-step explanation:

Given

Cow give 5 gallon of milk if it eats 2 pound of grass

i.e. it gives 2.5 gallon of milk if it eats 1 pound of grass

So we can say cow given 2.5 times of milk in gallon for each pound it eats

If cow eats x pounds of grass then it must yield 2.5 times of milk

Suppose milk is denoted by y  

therefore we can write

y=2.5 x

Therefore y=2.5 x represent the relation between grass and milk produced

What is the value of q2– p2 for q = 4 and p = 2?
O A. 2
B. 4
C. 8
O D. 12
E.
14.

Answers

Answer:

q2- p2

4*2-2*2

8-4

B.4

Step-by-step explanation:

The value of q² - p² is 12 for the given value of p and q.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, The value of p = 2 and q = 4

the value of q² - p² for the given value

=> q² - p² = 16 - 4

=>q² - p² = 12

therefore, For the specified values of p and q, the value of q2 - p2 is 12.

Learn more about function here:

https://brainly.com/question/21145944

#SPJ5

Please please thank you

Answers

Answer:

option 2

452.16

You would need to use this equation...

V=πr²h

3.14 * (4)² * 9

= 452.16 cm³

5) The radius of a circle is 6mm. If the sector area is 14.14 mm2, what is the degree measure of the sector?

Answers

Answer:

Step-by-step explanation:

sector area = angle/360 * pi * r^2

14.14 = angle/360 * 22/7 * 6^2

14.14 = angle/360 * 22/7 * 36

(360 * 14.14 * 7)/(22 * 36) = angle

angle = 44.99 = 45 degrees

Horatio transferred a balance of $2600 to a new credit card at the beginning
of the year. The card offered an introductory APR of 4.3% for the first 5
months and a standard APR of 13.7% thereafter. If the card compounds
interest monthly, which of these expressions represents Horatio's balance at
the end of the year? (Assume that Horatio will make no payments or new
purchases during the year, and ignore any possible late payment fees.)
O A 152800(0,00)" (.cz
O B. (120)(1.0) (2017
(32001, 2003" (1.1980
O D. (2000, 1900 og
O C. ($2600) 1+

Answers

Answer:

Step-by-step explanation:

2600(1+0.043/12)^6(1+0.137/12)^7

If f(x) = x + 2 and g(x) = 3x + 4, then f(g(x)) = ? A) 3x + 6 B) 3x + 10 C) 3x2 + 6x + 4 D) 3x2 + 10x + 6

Answers

Answer:

A. 3x+6

Step-by-step explanation:

To answer this problem you would want to replace the g(x) equation with for the x in the f equation and solve/simplify.

f(x)=x+2, g(x)=3x+4

(3x+4)+2

3x+6

Using sigma notation write the geographic series: 6+12+24+48+96

Answers

Answer:

[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]

Step-by-step explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

[tex] $$\sum_{n=1}^{5} 6(2^{n-1}) $$ [/tex]

Describe an event that involves dice and has a theoretical probability of 5\6.


Please Help! :)

Answers

Answer:-

Step-by-step explanation:

1-5 marbles are blue you assign them a number and there is 1 red one and he is assign #6

What is it that when you take away the whole, you still have some left over?

Answers

Answer:

wholesome!!! brainliest pls :)

Answer:

wholesome

Step-by-step explanation:

you take away the first word which is whole

and u still have the word some left over

hope this helped if this isnt what ur looking for plz tell me

SMART PEOPLE HELP ASAP

Answers

Answer:

Step-by-step explanation:

Area of this shape is L*W*H

All dimensions are given, now you just have to multiply it

turn all fractions into improper fractions

10 3/8 = 83/8

1 3/4 = 7/4

2 1/2 = 5/2

[tex]\frac{83}{8}[/tex] * [tex]\frac{7}{4}[/tex] * [tex]\frac{5}{2}[/tex] = ?

= 2905/64 =

app. 45.39

okay who can tell me pi divided by 5.6 squared times 2

Answers

Answer:

0.20035667433

Step-by-step explanation:

Answer:

0.20035667433 , is the answer.

Step-by-step explanation:

Honestly whenever it comes to pi in maths , you can usually always use a calculator so on a calculator write in 'pi (5.6) *squared* x 2'

A police department used a radar gun to measure the speed of a sample of cars on the highway. Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a standard deviation of 8 mph. Using this distribution what is the z-score of a 65-mph speed limit?

Answers

Answer:

The z-score of a 65-mph speed limit is -0.75

Step-by-step explanation:

Here, we want to calculate the z-score

To calculate the z-score, we make use of the z-score formula

Mathematically;

z-score =(x-mean)/SD

from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph

Plugging these values into the equation above, we have

z-score = (65-71)/8 = -6/8 = -0.75

The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM

Answers

Answer:

LM = 36

Step-by-step explanation:

A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.

Perimeter of a quadrilateral is the addition of all 4 sides.

Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.

See attachment for diagram used in solving the question.

Perimeter of square = length+ length+ length+ length

= 4× length

Perimeter of quadrilateral ABCD:

640 = 4×length

Length = 640/4

Length = 160

Perimeter of quadrilateral LMNO:

144 = addition of all 4 lengths

144 = LM + MN + NO +OL

Since we are considering a square all the sides are equal.

LM = MN = NO = OL

144 = 4×LM

LM = 144/4

LM = 36

Find the quotient.

3 divided by 3636

A. 1,212
B. 1,202
C. 122
D. 112
E. 102

help asap!!

Answers

The answer to the question is B

PLZ HELP MATH!
ASAP MANY POINTS REWARDED!

Answers

Answer:

Isosceles

Step-by-step explanation:

Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.

The sum of two numbers is 198. If one number is 20% larger than the other number, what are the numbers?

Answers

x + y = 198

y = 1.20 x

x + 1.2 x = 198

2.2x = 198

x = 198/2.2 = 90

y = 198 - 90 = 108

Answer: 90 and 108

Answer:

108 and 90

Step-by-step explanation:

let the two numbers be x and y

from the question let y be the greater number

therefore, y = 20%x +x

y=20/100x + x

y=(20x+100x)/100

y=120x/100

y=1.2x

from the question

x+y=198______(1)

x+1.2x=198

2.2x=198

x=198/2.2

x=90

from (1)

x+y=198

90+y=198

y=108

x=90 y=108

A group of 3 adults and 10 children bought tickets to watch a dance
performance. Each adult ticket cost $7 more than each child ticket.
The group paid a total of $125. What was the cost of each child ticket?​

Answers

Answer:

6

Step-by-step explanation:

guess and check 6(10)+((6+7)5)=125

Which equation are correct set ups to solve for the hypotenuse ** 2 answers

(Solve and Round decimal to the nearest hundredths )

Answers

Answer:x^2=2^2+4^2. x=4.47

Step-by-step explanation:

Opposite=m=2

Adjacent=n=4

Hypotenuse=x

x^2=m^2+n^2

x^2=2^2+4^2

x^2=4+16

x^2=20

x=√20

x=4.47

What is the volume of the cylinder? Use 3.14 for pi.

A. 715.92 cm3

B. 489.84 cm3

C. 3183.96 cm3

D. 1469.52 cm3

Answers

Answer:

V = 1469.52 cm^3

Step-by-step explanation:

cylinder volume = base area * height

                           = ( pi * R^2) * h

                           = pi * 6^2 * 13 = 1469.52 cm^3  (ANS)

What are the solution(s) to the quadratic equation 9x^2 = 4?

Answers

Answer:

x = ± 2/3

Step-by-step explanation:

9x^2 = 4

Divide each side by 9

9/9x^2 = 4/9

x^2 = 4/9

Take the square root of each side

x = ±sqrt(4/9)

x = ± 2/3

9x^2=4

/9       /9

x^2=4/9

sqrt both sides

x=+/-[tex]\sqrt{4/9}[/tex]

x=+/-([tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex])

x=+/-2/3

Answer:

x=2/3, x=-2/3

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