5. The property depicted in the expression 2/( 3) ×(1/3+ 4/5)=(2/3 × 1/3)+(2/3 × 4/5) is *
associative property of addition
associative property of multiplication
distributive property of multiplication
closure property of multiplication

Answers

Answer 1

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

a(b + c) = ab + ac

The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)

The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.


Related Questions

How can you solve X^2 +2x=-1

Answers

X(x+2)=-1

X=-1
X=-3

I’m not really sure of my answe but I tried my best so good luck!!

The price of a mobile phone was £980.
In a sale the price is reduced by 25%.
On the final day the sale price is reduced by a further 8%.
How much is saved in total by buying the mobile phone on the final day
of the sale?

Answers

Answer:

Amount saved = £ 303.80

Step-by-step explanation:

Original Price = £980

After 25% discount :

                            [tex]980 - (25 \% \times 980) = \£ 735[/tex]

On the final day further discount of 8%.

That is ,

       [tex]735 - (8 \% \times 735) = \£ 676.20[/tex]

Total savings if buying on the final day of sale = 980 - 676.20 =£303.80  

A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write an equation for Package A and an equation for Package B that represent the total number of sodas, g, in p packages.

Answers

Answer:

[tex]g = 18p[/tex] --- A

[tex]g = 10p[/tex] ---- B

Step-by-step explanation:

Given

[tex]Package\ A: 18\ soda[/tex]

[tex]Package\ B: 10\ soda[/tex]

Required

The equation of both packages

The given details represent the number of sodas in each package.

So, the equation of A is:

[tex]g = 18p[/tex]

And the equation of B is:

[tex]g = 10p[/tex]

2. R10 000 is invested for two years at 8% per year compounded quarterly
a) Calculate the value of the investment after two years.
b) Determine the Interest earned by the investment.​

Answers

A because you only gave 2 options so that would be logical !

Help...................

Answers

Answer:

area=3.14 yd^2

Step-by-step explanation:

radius=diameter/2

=2/2

=1

area =π*r^2

=3.14&1

=3.14 yd^2

Answer:

3.14 yd^2

Step-by-step explanation:

First we need to find the radius

r = d/2 = 2/2 =1 yd

The area of a circle is given by

A = pi r^2

   = 3.14 ( 1)^2

   = 3.14 yd^2

What is the total SURFACE AREA of a cylinder with a radius of 5 cm and a height of 7 cm?

Answers

Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

Find the volume of a pyramid with a square base, where the perimeter of the base is 16.9\text{ cm}16.9 cm and the height of the pyramid is 19.6\text{ cm}19.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

Volume of square based pyramid = 116.62 cm³

Step-by-step explanation:

Given:

Perimeter of square base = 16.9 cm

Height of pyramid = 19.6 cm

Find:

Volume of square based pyramid

Computation:

Perimeter of square base = 16.9 cm

4[Side] = 16.9

Side = 4.225 cm

Area of square = Side x Side

Area of square = 4.225 x 4.225

Area of square = 17.85 cm²

Volume of square based pyramid = [Area of square][Height of pyramid] / 3

Volume of square based pyramid = [17.85][19.6] / 3

Volume of square based pyramid = 349.86 /3

Volume of square based pyramid = 116.62 cm³

I need help with can you guys show me the work.

Answers

Answer:

Δy = 30 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 17.5°

Hypothenus = 100 ft

Opposite = Δy =?

The value of Δy can be obtained by using sine ratio as follow:

Sine θ = Opposite / Hypothenus

Sine 17.5 = Δy / 100

Cross multiply

Δy = 100 × Sine 17.5

Δy = 30 ft

A candy bar sells for 4 for $5. How many can be bought for 20 dollars?
100 bars
80 bars
16 bars
4 bars

Answers

Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.

An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.

To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.

To find the cost of one candy bar, we divide $5 by 4:

Cost of one candy bar = $5 / 4 = $1.25

Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:

Number of candy bars = $20 / $1.25 = 16

Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.

To know more about an expression follow

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A messenger has 6 pouches and 30 coins. The total must be less than 102 coins
How would you write this inequality? What are some solutions?

Answers

Answer:

6x+30<102

0 ≤ x ≤ 12 gives all possible solutions for this problem.

Answer:

Your total would be 180 so with the extra you could donate or something like that

Step-by-step explanation:

I hope this helped:)

I will give anyone who can give me the right answer to the Brainist! I really need an answer!

Answers

Answer:

a. 49 ft (nearest ft)

b. 24.5 sec

Step-by-step explanation:

a. work out TOP

[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]

b.

[tex] \frac{49}{2} \\ = 24.5[/tex]

divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec

Answer:

49 feet

25 seconds

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

20² + 45² = c²

400 + 2,025 = c²

2425 = c²

Take the square root of both sides

c = 49.244289009

Rounded

49 feet

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

time

t = 49 /2

t = 24.5 seconds

Rounded

25 seconds

Which table represents a linear function?

Answers

Answer would be C b/c it just is okay ! Get me point already

Answer:

c I am pretty sure of deep nuts u am playin it c

Finding the volume of the cone

Answers

Answer:

[tex]\frac{686\pi }{3}[/tex] or 718.3775

Step-by-step explanation:

Formula:

[tex]\pi r^2\frac{h}{3}[/tex]

we have

[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]

A community gym charges a $50 fee membership and a $50 monthly fee. Workout gym charges a $170 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answers

Answer:

12 months

Step-by-step explanation:

community gym = 50 + 50x

workout gym = 170 + 40x

you need to find out how many months it will take for them to be equal, so:

50+50x = 170+40x

solve for x

10x = 120

x = 12

after 12 months, they will cost the same

For two positive real numbers a and b, which may be equal, determine the smallest possible value of a/b + b/a​

Answers

well what i got was 9/2

x/6 + 12 = 6
Please help me

Answers

Answer:

[tex]x=-36[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} +12=6[/tex]

[tex]\frac{-36}{6} +12=6[/tex]

[tex]-6+12=6[/tex]

Hence, x = -36

Answer:

X = -36

Step-by-step explanation:

x/6 + 12 = 6

-12         = -12

x/6 = -6

(6) = (6)

 x = -36

The circle below has center T. Suppose that mUV = 68 and that UW is tangent to the circle at U. Find the following. Does anyone know this?

Answers

Answer:

Step-by-step explanation:

Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.

As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees

How are exponents and roots related? ​

Answers

Step-by-step explanation:

sana po nakatulong sainyo thanks❤

20 divided by 34 HEEEEELPPPPPPPPPPP

Answers

Answer:

0.58823529411

Answer:0.8

Step-by-step explanation:

Method included please. Please someone answer ASAP

Answers

Answer: 200

Does this helppp???

Fill in the blanks on the unit circle.
HELP ASAP

Answers

top left: -1/2 , rad 3/2
top right: rad 2/2, rad 2/2
small one on the right: 30
small one on bottom left: 225
bottom left: -1/2, rad 3/2
bottom right: 1/2, -rad 3/2

Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Volume = 72.66 in.?

Х

2 in.

Answers

Answer:

[tex]x = 6.99in[/tex]

Step-by-step explanation:

Given

[tex]l =2in[/tex]

[tex]Volume = 72.66in^3[/tex]

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]

This gives:

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]

[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]

[tex]Base\ Area= 3\sqrt 3 * 2[/tex]

[tex]Base\ Area= 6\sqrt 3[/tex]

Side x represents the height.

So, we have:

[tex]Volume = Base\ Area*x[/tex]

Make x the subject

[tex]x = \frac{Volume }{ Base\ Area}[/tex]

[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]

[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]

[tex]x = \frac{12.11}{\sqrt 3}in[/tex]

[tex]x = 6.99in[/tex] --- approximated

365.12x =36,512 please help ​

Answers

Answer:

x = 100

Step-by-step explanation:

365.12 x = 36512

36512 / 365.12 = x

x = 100

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Using the following equation, find the center and radius:

x2 −2x + y2 − 6y = 26 (5 points)

Question 13 options:

1)

The center is located at (−1, −3), and the radius is 36.


2)

The center is located at (1, 3), and the radius is 36.


3)

The center is located at (−1, − 3), and the radius is 6.


4)

The center is located at (1, 3), and the radius is 6.

(NO LINKS OR ABSURD ANSWERS)

Answers

Answer: 4) The center is located at (1, 3), and the radius is 6

Step-by-step explanation:

Solve the general equation of the circle.

x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2

Hence, the coordinates of the center (1,3) And the radius will be 6

The center is located at (1,3) and the radius is 6.

What is center of the circle?

"The center is the point from which all of the points on the circle are the same distance."

What is radius of the circle?

"The radius is the exact distance from the center to any point on the circle."

We have

[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]

Add 1 and 9 on both sides of equation

⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]

⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]

⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)

We know the Standard form of equation of the circle

[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

By comparing the standard form and equation (1)

Center (h, k) = (1, 3) and radius is 6

Hence, The center is located at (1,3) and the radius is 6.

Learn more about circle here

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The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.

Which are equivalent equations? Select two correct answers.

Answers

Step-by-step explanation:

The formula for the lateral area of a right cone is :

LA = rs

Where

r is the radius of the base and s is the slant height of the cone

Equivalent expression,

[tex]r=\dfrac{LA}{s}[/tex]

or

[tex]s=\dfrac{LA}{r}[/tex]

Hence, this is the required solution.

In this exercise we have to use the formula for volume of the cone and we find that:

[tex]s=\frac{LA}{r}[/tex]

The formula for the lateral area of a right cone is :

LA = rs

Where:

r is the radius of the base s is the slant height of the cone

Equivalent expression is:

[tex]s=\frac{LA}{r}[/tex]

See more about volume at brainly.com/question/1578538

3. f(-4) - 3.9(-2) =

Answers

Answer:

Step-by-step explanation:

1.Round 3 601 111 to the nearest million
2. Round 17.81 to the nearest whole number
3. Round 59.52 to the nearest 1 d.p.
4. Round 7.176 to the nearest 2d.p.
(Pls help me…)

Answers

Answer:

See explanation

Step-by-step explanation:

Rules to follow when rounding

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Eg: 56 rounded to the nearest ten is 60

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 23 rounded to the nearest ten is 20

3. All the numbers to the right of the place you are rounding to become zero

1.Round 3 601 111 to the nearest million

= 4,000,000

2. Round 17.81 to the nearest whole number

= 18

An whole number is a number without a decimal point

3. Round 59.52 to the nearest 1 d.p.

= 59.5

1 d.p means one digits after the decimal point

4. Round 7.176 to the nearest 2d.p.

= 7.18

2 d.p means two digits after the decimal point

CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH

Answers

Experimental probability of the name Alex being drawn is 4/10

This is because out of the ten times a name was drawn, Alex was drawn four times.

If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.

This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.

How is this one done?

Answers

If ur answer (in this case, its 52) is greater than 0, then there are two real solutions.
If it is equal to 0, then there is one solution
And if it is less than 0, there are no real solutions.

Therefore, there are 2 solutions.

Find mZP.
P
26
2./13
R
mZP =
I’m confused

Answers

Answer:

45 degrees

Step-by-step explanation:

Since we have a right triangle, we use the appropriate trigonometric ratio

The angle marked P faces QR and that makes it the opposite side

PR faces the right angle and that makes it the hypotenuse

The trigonometric ratio that links the opposite and the hypotenuse is the sine

It is the ratio of the opposite to the hypotenuse

Thus;

sin P = √26/2 √13

Sin P = √2/2

P = arc sin √2/2

P = 45 degrees

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