Can the distributive property be used to rewrite
8 x (10 + 9)?

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

using the distributive property 8 × (10 + 9)

becomes 8× 10 + 8 × 9


Related Questions

how many sides has a cuboid​

Answers

Answer:

[tex]6faces \\ thank \: you[/tex]

if m<8= 23° find each measure.

Answers

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

m<8 = m< 6 = 23° [ Opposite angles]

m< 4 = m< 2 = 23°

m<8 + m< 5 = 180°

23° + m< 5 = 180°

m<5 = 180 - 23 = 157

m< 5 = m< 7 = 157° [ Opposite angles]

m< 1 = m< 3 = 157° [ Opposite angles]

straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )

So;

m< 1 = 157m< 2 = 23m< 3 = 157m<4 = 23m< 5 = 157m< 6 = 23m< 7 = 157m< 8 = 23

I hope I helped you^_^

Is the expression 2•4 x equal to the expression 8x? Explain your answer

Answers

Answer : Yes

Step-by-step explanation:

Answer:

[tex]true[/tex]

Step-by-step explanation:

Simplify the expression:

[tex]2 \times 4x[/tex]

Multiply the monomials:

[tex]8x[/tex]

Check equivalency:

[tex] \frac{8x}{8x} [/tex]

Check equivalency:

[tex]true[/tex]

How would I prove the congruency of these triangles?

Answers

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

Two-thirds a numberx plus 4 is 8.

Answers

Answer:

n = 6

Step-by-step explanation:

To solve this you can use an equation such as:

[tex]\frac{2}{3} n+4=8\\\\[/tex]

We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:

[tex]\frac{2}{3}n=4[/tex]

So now we divide both sides by 2/3.

This now equals:

[tex]n=6[/tex]

Using the graph, find the equation of the line in slope-intercept form.
What is the slope-intercept form of the equation of the line?
y =

Answers

Answer:

y = 2x + 2

BRAINLIEST, PLEASE!

Step-by-step explanation:

(-2, -2) (-1, 0)

y = mx + b (m = slope, b = y-intercept)

m = rise/run = change in y / change in x

change in y: +2

change in x: + 1

change in y/change in x = 2/1 = 2

m = 2, y = 2x + b

We can plug -1 in for x, and 0 in for y.

0 = 2(-1) + b

0 = -2 + b

b = 2

y = 2x + 2

Answer:

y = 2x + 2

Step-by-step explanation:

Answer the following questions.
1. Trish can complete 10 problems in 60 minutes. At this rate, could she complete 25 problems in 130 minutes? Write your answer as YES or
NO.

Answers

Answer:No Hope this helps

(−2x + 8) + (−8x^2− 8x)

Answers

Answer:

-8x^2 -10x + 8

Step-by-step explanation:

there is no multiplying just adding

-2(-6n-3)-8=82 solve for n

Answers

Answer:

n = 7

Step-by-step explanation:

-2(-6n-3)-8=82,

12n + 6 - 8 = 82,

12n -2 = 82,

12n = 84,

n = 7

Answer:

n=7

Step-by-step explanation:

-2(-6n-3)-8=82

Add 8 to both sides

-2(-6n-3)-8+8=82+8

Simplify

-2(-6n-3)=90

Divided both sides by -2

-2(-6 -3) = 90

2 -2

Simply

-6n-3=-45

Add 3 to both sides

-6n-3+3=-45+3

Divided both side by -6

-6n = -42

-6. -6

Simply

n=7

someone help me asap

Answers

Answer:

19/20 cups

Step-by-step explanation:

Add the amounts together

1/4 + 7/10

Get a common denominator of 20

1/4 *5/5   + 7/10 *2/2

5/20 + 14/20

19/20

Answer:

19/20

Step-by-step explanation:

find a common denominator then do the same with the numerator then add.

Find the distance between the points (-16, 10) and (4, 10).
Help plz I pay 5 bucks if you solve this

Answers

Answer:

20

Step-by-step explanation:

The distance formula is just

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2} \\d = \sqrt{(-16-4)^2+(0)^2}\\d = \sqrt{(-20)^2} \\d = \sqrt{400} \\d = 20[/tex]

pls ans this q/a pls fast...
plssszzzz​

Answers

Answer:

[tex]x = - \frac{5}{22} [/tex]

Step-by-step explanation:

[tex]4 - \frac{2(x - 4)}{3} = \frac{3(2x + 5)}{2} [/tex]

➡️ [tex] 4x - \frac{2x - 8}{3} = \frac{6x + 15}{2} [/tex]

[tex] ➡️ 24 - 2(2x - 8) = 3(6x + 15)[/tex]

[tex] ➡️ 24 - 4x + 16 = 18x + 45[/tex]

[tex] ➡️ 40 - 4x = 18x + 45[/tex]

[tex] ➡️ - 4x - 18x = 45 - 40[/tex]

[tex] ➡️ - 22x = 5[/tex]

➡️ [tex] x = - \frac{5}{22} [/tex]

Given h(x) = 4x – 5, solve for a when h(x) = 7.

Answers

h(x)=4x-5

[tex]\\ \sf\longmapsto h(7)[/tex]

[tex]\\ \sf\longmapsto 4(7)-5[/tex]

[tex]\\ \sf\longmapsto 28-5[/tex]

[tex]\\ \sf\longmapsto 23[/tex]

Answer:

23

Step-by-step explanation:

h(7)= 4(7) - 5

h(7)= 28 - 5

h(7)= 23

Q. An Umbrella is made by stitching 10 triangular peices of cloth to two different colours, each piece measuring 20cm, 50cm & 50cm. Show much cloth of each colour is required for the umbrella?
Plz answer fast for thanks and brainliest.​

Answers

Answer:

1000

[tex]1000 \sqrt{6} [/tex]

Step-by-step explanation:

Given: Dimensions of each triangular piece used in umbrella.

Reasoning: By using Heron’s formula, we can calculate the area of a triangle.

Heron's formula for the area of a triangle, Area = √s(s - a)(s - b)(s - c)

Where a, b, and c are the sides of the triangle, and

s = Semi-perimeter = Half the Perimeter of the triangle = (a + b + c)/2

We know that umbrella is made of 10 triangular pieces of cloth of two different colours.

Let us calculate the area of one triangle.

For each triangle, a = b = 50 cm, c = 20 cm

Semi Perimeter

s = (a + b + c)/2

= (50 + 50 + 20)/2

= 120/2

= 60 cm

By using Heron’s formula,

Area of triangle = √s(s - a)(s - b)(s - c)

= √s(s - a)(s - b)(s - c)

= √60(60 - 50)(60 - 50)(60 - 20)

= √60 × 10 × 10 × 40

= 200√6 cm2

Therefore,

Area of 10 triangular pieces = 10 × 200√6 cm2 = 2000√6 cm2

Hence, cloth required for each colour = (Total area of the cloth)/2

= (2000√6)/2

= 1000√6 cm2

Thus, 1000√6 cm2 cloth of each colour is required for the umbrella

y=x^2-2x-5 vertex form

Answers

Hey there! I'm happy to help!

First, we'll want to find the vertex of this parabola.

Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].

In our equation here, our a is 1 and our b is -2.

[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]

Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.

y=1²-2(1)-5

y=1-2+5

y=-1+5

y=4

So, our vertex is at (1,4).

Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.

y=(x-1)²+4

Have a wonderful day and keep on learning! :D

Find the minimum value of the function:
f(x) = x2 + 9x – 16.

Answers

complete the square by halving the x coefficient and putting that in a squared bracket with x:

(x + 4.5)^2

This will give us an extra 20.25 we don’t want, so takeaway 20.25:

(x + 4.5)^2 — 20.25

Takeaway the 16 in the question:

(x + 4.5)^2 - 20.25 - 16 = (x + 4.5)^2 - 36.25

The minimum x coordinate is the number in the bracket with the opposite sign, thus the answer is -4.5 (the minimum y coordinate is the number outside the bracket with the same sign, -36.25)

a bag of potatoes weighs 60 kg. how many kg are there in 13 of them

Answers

Answer:

780 kg

Step-by-step explanation:

If 1 weights 60 kg then 13 of them should weight 780 kg

1 60 kg

13 ↗️ ?

(13 × 60) ÷ 1

-1 bag of potatoes is 60kg.
-If there are 13 bags of potatoes,

60kg × 13 bags = 780 kg in total

polygons are similar find the scale factor of the smaller figure to the larger figure​

Answers

Answer:

Step-by-step explanation:

A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.

Answers

Answer:

m=15.78

Step-by-step explanation:

density = volume / mass

subtitute values:

95= 1500/ mass

mass = 1500/95

m= 15.78

let h (x)= -x-18 find h (3)

Answers

Answer:

-21

Step-by-step explanation:

h(x) = -x-18

h(3) = -(3)-18 = -21

Answer:

[tex]h(3)=-21[/tex]

Step-by-step explanation:

One is given the following:

[tex]h(x) = -x - 18[/tex]

One is asked to find the value of ([tex]h(3)[/tex]). Substitute ([tex]3[/tex]) in place of ([tex]x[/tex]) and simplify to evaluate,

[tex]h(x)=-x-18\\\\h(3)=-(3)-18\\\\h(3)=-3-18\\\\h(3)=-21[/tex]


16. Natural numbers are closed under division. True or false

Answers

Answer:

Step-by-step explanation:

False

First you have to  know what a natural number is.

They are all the integers from 1 to infinity.

Naturally they are closed for addition. 3 + 9 = 12. You can make as many examples as you like. You will not get anything outside the natural numbers.

3934859433993393390 + 4 + 22 is still going to give you a natural number.

Subtraction is a different matter.

44 - 100 is not in the natural number system.

Multiplication is OK.

5555 * 44444 still is a member of the natural numbers.

What about division? Remember, all you need is one example that doesn't work to say that the natural numbers aren't closed. Ready. How about

33/83?

The square below represents a unit or a whole. What fraction is represented by the

Answers

20/28 or 10/14 or 5/7
You can keep reducing until both sides of the fraction can't be divided by the same number anymore.

Neeeeeeed helpppppppppppppp

Answers

Answer:

[tex]2^{1} + 3^{1}[/tex], [tex]2^{3} - 2^{1}[/tex], [tex]3^{2}[/tex]

Step-by-step explanation:

[tex]3^{2}[/tex] = 9

[tex]2^{3} - 2^{1}[/tex] = 6

[tex]2^{1} + 3^{1}[/tex] = 5

Step-by-step explanation:

Simplify the expressions

[tex]2 {}^{3} - 2 {}^{1} = 2 {}^{3} - 2 = 8 - 2 = 6[/tex]

[tex]2 + 3 = 5[/tex]

[tex] {3}^{2} = 9[/tex]

So the expressions from least to greatest is

[tex]2 {}^{1} + 3 {}^{1} < 2 {}^{3} - 2 {}^{1} < 3 {}^{2} [/tex]

how to write a book report plz help???​

Answers

Answer:

below

Step-by-step explanation:

In short, a book report is an essay that contains what you read and learned from reading a book. For example, you would write a book report in the following sequence:

What ocurred in the beginning, middle, and end.What you learned from reading it.What you enjoyed about it.

Best of Luck!

what two numbers would give a sum of 30, a difference of 24, product of 81 and a quotient of 9

Answers

Answer:

27 and 3

Step by Step explanation:

Just list the factors of 81 and find the two numbers

during the movie fundraising event the concession stand at the auditorium sells popcorn fruit and drinks the price of a box of popcorn is 0.50 more than

Answers

Using the information in the exercise to develop the system of equations and using the substitution method, the following answers are found:

The system of the linear equations is P = F + 0.50, 2D = 3F - 0.50, and 2P + F + 3D = 7.75, where P = The price of a box of popcorn, D = The price of a drink, and F = The price of a piece of fruit. By other hand, the price of each item is: Popcorn = $1.50, Drink = $1.25, and Fruit = $1.

Solution of the system of equations by the Substitution Method.

Taking into account the information given in the exercise, we can write the next equations:

P = F + 0.502D = 3F - 0.502P + F + 3D = 7.75

Where:

P = The price of a box of popcorn.D = The price of a drink.F = The price of a piece of fruit.

Since all equations have the variable F, we are going to use it as a key variable to represent the other variables in terms of F.

In the first equation we should not do anything, since P is in terms of F, in the second case the variable D is also in terms of F, but we need to find the value of just D, by this:

2D = 3F - 0.50D = (3F - 0.50) / 2D = 1.5F - 0.25

We proceed to substitute the first and second equations in the third equation:

2P + F + 3D = 7.752 (F + 0.50) + F + 3 (1.5F - 0.25) = 7.75

And we solve for the variable F:

2F + 1 + F + 4.5F - 0.75 = 7.757.5F + 0.25 = 7.757.5F = 7.75 - 0.257.5F = 7.5F = 7.5 / 7.5F = 1

Now, we can solve for the variable D with the second equation:

2D = 3F - 0.502D = 3 * (1) - 0.502D = 3 - 0.502D = 2.5D = 2.5 / 2D = 1.25

Finally, we can solve for the variable P with the first equation:

P = F + 0.50P = 1 + 0.50P = 1.50

So, we have the price of each item:

Popcorn = 1.50Drink = 1.25Fruit = 1

If you want to see another exercise solved by the substitution method, you can see this link: https://brainly.com/question/22340165?referrer=searchResults

The formula for the perimeter of a rectangle is P = 2l + 2w. Solve the formula for l
in terms of P and w.

Answers

Answer:

P/2 -w = l

Step-by-step explanation:

P = 2l + 2w

Subtract 2w from each side

P-2w = 2l + 2w-2w

P -2w = 2l

Divide each side by 2

(P-2w)/2 = 2l/2

P/2 -w = l

What is the smallest whole number that is above square root of 17

Answers

Answer:

5

Step-by-step explanation:

√17 = 4.124105626

smallest would be 5 since it is already above 4

√17=4.12311
∴the smallest whole number that is above √17 is 5

Hope my answer helped u :)

find an equation for the line below

Answers

Answer:

[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

1) Determine the slope (m)

[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

In the graph, two points are indicated: (-5,5) and (3,3). Plug these into the equation:

[tex]m=\displaystyle \frac{3-5}{3-(-5)}\\\\m=\displaystyle \frac{3-5}{3+5}\\\\m=\displaystyle \frac{-2}{8}\\\\m=\displaystyle \frac{-1}{4}[/tex]

Therefore, the slope of the line is [tex]\displaystyle -\frac{1}{4}[/tex]. Plug this into  [tex]y=mx+b[/tex]:

[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]

Plug in one of the points we used earlier and solve for b:

[tex]3=\displaystyle -\frac{1}{4}(3)+b\\\\3=\displaystyle -\frac{3}{4}+b\\\\3+\displaystyle \frac{3}{4}=b\\\\\frac{15}{4} =b[/tex]

Therefore, [tex]\displaystyle \frac{15}{4}[/tex] is the y-intercept. Plug this back into [tex]y=\displaystyle -\frac{1}{4}x+b[/tex]:

[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]

I hope this helps!

f(x)= -2x^2 - 5 and f(2)= -13

can someone solve this in steps please?

Answers

This is one way you could write out the steps

f(x) = -2x^2 - 5

f(2) = -2(2)^2 - 5

f(2) = -2(4) - 5

f(2) = -8 - 5

f(2) = -13

Answer:

Step-by-step explanation:

First you have to get the meaning clear.

f(2) means that wherever you see an x on the right side of the equation, you put a 2.

f(2) means -2*(-2)^2 - 5

(-2)^2 = -2 * -2 = 4

f(2) = -2 * 4 - 5

f(2) = - 8 - 5

f(2) = -13

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