Distribute to create an equivalent expression with the fewest symbols possible.
6(3c - 5d + 6) =6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals

Answers

Answer 1

Using the distributive property, it is found that the equivalent expression is:

18c - 30d + 36

What is the distributive property?

It is a property that the outside term multiplies each of the inside terms.

In this problem, the expression is:

6(3c - 5d + 6).

Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:

6(3c - 5d + 6) = 18c - 30d + 36.

More can be learned about the distributive property at https://brainly.com/question/2807928


Related Questions

The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Answers

Answer:

ft.

Step-by-step explanation:

Area = π r^2 = 4π =  π2^2

- so the radius  is 2 ft,

and the circumfrence = 2 π r

= 2*π*2

=  ft.

The circumference of the circle is 4π feet.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The formula for the area A of a circle with radius r is given by:

A = πr²

We are given that the area of the circle is 4π ft², so we can set up the following equation:

4π = πr²

Dividing both sides by π, we get:

r² = 4

Taking the square root of both sides, we get:

r = 2

The circumference C of a circle with radius r is given by:

C = 2πr

Substituting r = 2, we get:

C = 2π(2) = 4π

Therefore,

The circumference of the circle is 4π feet.

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Four years from now, hozumi will be 2 years younger than 4 times her present age. which equation could be used to determine hozumi’s age ( h ) now, and what is her age?

Answers

Answer:

2

Step-by-step explanation:

Four years from now: h+4

Hozumi will be 2 years younger than 4 times her present age: 4h-2

h+4=4h-2

6=3h

h=2

Write the following arithmetic series in summation notation.
7+9+11+ . . . +35
..

Answers

Answer:

[tex]S_{n}=315[/tex]

Step-by-step explanation:

[tex]a_{1}=7\\a_{2}=9\\a_{n}=35\\[/tex]

d=9-7=2

no of terms n,

[tex]n=\frac{a_{n-a_{1}} }{d} +1[/tex]

[tex]n=\frac{{35}-{7}}{2} +1[/tex]

[tex]n=15[/tex]

sum of series,

[tex]S_{n}=\frac{n}{2} (a_{1}+a_{n})\\\\S_{n}=\frac{15}{2} (7+35})\\\\S_{n}=315[/tex]

Complete the frequency table for the following set of data.

Answers

Step-by-step explanation:

+
Please can u look at the following

Answers

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

a)

2(x+3) = x - 4

==> distribute the 2

2x + 6 = x - 4

==> add 4 to both sides

2x + 10 = x

==> subtract 2x from both sides

10 = -x

==> divide both sides by -1

x = -10

b)

4(5x - 2) = 2(9x + 3)

==> distribute the 4 and 2

20x - 8 = 18x + 6

==> add 8 to both sides

20x = 18x + 14

==> subtract 18x from both sides

2x = 14

==> divide both sides by 2

x = 7

Christina is 11 years older than caden. the sum of their ages is 35. how old is christina? how old is caden?

Answers

Answer:

Caden is 11 and Christina is 24.

Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24

So this means we know two ages 11 and 24.

The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.

I hope this helps!

an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter

Answers

Answer:

Step-by-step explanation:

The total area of the face of the watch is 9.0 cm²

What is a hexagon?

The polygon with six side is called a hexagon.

Given that, a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.

height, h = apothem of the hexagon = 2 cm and

base, b = length of shorter base of trapezoid.

Area of the triangle

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

Area of the hexagon

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, total area of the face of the watch is 9.0 cm²

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The top of Mrs. Vonvilla’s coffee table has the dimensions shown. She wants to put a bumper around the edges of the table to protect her child in case he falls. What is the perimeter of the tabletop?
A coffee table has a length of 48 inches and a width of 28 inches.

Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
76 in.
152 in.
304 in.
1,344 in.

Answers

Answer:

152 inch

Step-by-step explanation:

The dimensions of tha coffee table are .

The perimeter of a rectangle is defined as , where  is the length and  is the width.

So, by given we have

If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have

The perimeter of the coffee table is 152 inches.

To celebrate the first day of school, Nathan brought in a tray of caramel brownies and walnut brownies. He brought 100 brownies in all. 4 of the brownies were caramel. What percentage of the brownies were caramel?

Answers

Answer:

Step-by-step explanation:

Out of 100 brownies ,4 were caramel.

Ratio of Caramel Brownies to Brownies: 4/100

If you further simplify it , 4/100 is the same thing as 1/25 , which can also be expressed as

Answer: 4% of the brownies were caramel

When Brooklyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 3 seconds. Using the empirical rule, what percentage of races will her finishing time be between 70 and 82 seconds?

Answers

Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:

76 - 2 x 3 = 70.

76 + 2 x 3 = 82.

Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

the price of 5 boxes of crackers at the store can be represented by the equation $17.75 divide 5 = k what would be the cost of 7 boxes of crackers

Answers

Answer:

24.85

Step-by-step explanation:

17.75/5 = 3.55

3.55 x 7 = 24.85 :)

Have an awesome day!

Please rate and mark brainliest!

1. If PQ || SR and PQRS is an isosceles trapezoid,
find m<1.
A. 30°
B. 32°
C. 34°
D. 36°

Answers

Answer:

B. 32°

Step-by-step explanation:

Finding ∠S and ∠R

∠S = 58°∠S = ∠R (Isoceles trapezoid)⇒ ∠R = 58°

Similarly, ∠P = ∠Q (same reason as above)

Applying the Angle Sum Property of Quadrilaterals,

∠P + ∠Q + ∠R + ∠S = 360°2∠P + 2∠S = 360°∠P + ∠S = 180°∠P = 180° - 58°∠P = 122° = ∠Q

Finding the missing angles of the triangle

Left angle : ∠x + 96° = 122°∠x = 26°

Applying the Angle Sum Property of Triangles,

∠x + ∠Q + ∠1 = 180°26° + 122° + ∠1 = 180°∠1 = 180° - 148°∠1 = 32°

Please help I will give brainliest.

Answers

Answer:

c = 9

Step-by-step explanation:

You're looking for a number so that when you use that number in place of x, you end up with 20.

f(x) = 3x - 7

f(c) = 3c - 7

20 = 3c - 7

Add 7

27 = 3c

Divide by 3

9 = c

Answer Choices (Multiple Choice)-
A. 6240+t<=8000
B. 8000>=6240t
C. 6240+5t<=8000
D. 8000+6240<=5t
E. 8000-6240>=5t

Answers

Answer:

c,e, d

Step-by-step explanation:

c,e,d is the correct to me

QUESTION 3

(15 marks)

Binomial probability A JHB car Salesman found that 1 out of 5 of consultations result is a sale. If on the

randomly selected day he makes eight 8 consultations what is the probability that he will make.

3. 1 At most, one sale

3. 2 At least one sale

3. 3 Two or three sales

3. 4 Six sales

Answers

Using the binomial distribution, it is found that:

3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.

3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.

3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.

3.4. There is a 0.0011 = 0.11% probability that he makes six sales.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

1 out of 5 of consultations result is a sale, hence p = 1/5 = 0.2.8 consultations are considered, hence n = 8.

Item 1:

The probability that he makes at most one sale is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678[/tex]

[tex]P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355[/tex]

Then:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033[/tex]

There is a 0.5033 = 50.33% probability that he makes at most one sale.

Item 2:

The probability that he makes at least one sale is:

P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.

There is a 0.8322 = 83.22% probability that he makes at least one sale.

Item 3:

The probability that he makes two or three sales is given by:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936[/tex]

[tex]P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468[/tex]

Then:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404[/tex]

There is a 0.4404 = 44.04% probability that he makes two or three sales.

Item 4:

The probability that he makes six sales is P(X = 6), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011[/tex]

There is a 0.0011 = 0.11% probability that he makes six sales.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Which proportional line has the smallest slope?

Question 14 options:

y= 8x


y=2x


y= .75x


y=.256x

Answers

Answer: y=.256x

Step-by-step explanation:

This line has the smallest coefficient for x.

Question
Find the surface area of the cube.



The surface area is
square yards.

Answers

Answer:

81 square yards

Step-by-step explanation:

width- 9 ft

length- 9ft

width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.

Hope this helps.

BTW it's my birthday

PLEASE SOLVE THIS I DONT HAVE MUCH TIME I WILL GIVE BRAINLYZ


A rectangle has a length of 10 cm and a width of 6 cm

How long is the diagonal of the rectangle?

Answers

Answer:

d = 2√34

Explanation:

d² = 10² + 6²d² = 100 + 36d² = 136d = √136d = 2√34

please answer these 3 question

Answers

Answer:

i think 5 prisms are cool

Step-by-step explanation:

5% of a number is 80, what is 25% of the same number? A. 4 B. 40 C. 400 D. 440​

Answers

Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

i am currently struggling to find this algebra 2 answer can anyone help? ill give you whatever

Answers

The answer that will go in the box is : - 1/x+5


What is 7.23 x 10^5 in standard notation

Answers

Answer:  723,000

Delete the comma if needed

================================================

Explanation:

The exponent of 5 means we move the decimal 5 spots to the right.

This has us go from 7.23 to 723,000

If the exponent was negative, then we'd move that amount to the left.

Number 2. Please help!!!!!!!!

Answers

Answer:

[tex]\frac{x-3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{3x^2+6x-45}{3x^2+21x+30}[/tex]                   Rewrite

[tex]\frac{x^2+2x-15}{x^2+7x+10}[/tex]                      Factor out GCF (3)

[tex]\frac{x^2+5x-3x-15}{x^2+5x+2x+10}[/tex]                 Replace b with factors

[tex]\frac{(x-3)(x+5)}{(x+5)(x+2)}[/tex]                     Factor by grouping

[tex]\frac{x-3}{x+2}[/tex]                               Final answer

For a more detailed explanation, please look at the help image attached. It shows each step on how to factor polynomials.

I hope this helps!

In number 1783429 write the follwings:

i)Write rhe digit that is in the ten thousand place.

ii)Successor of the number​

Answers

Answer:

i) 8

ii) 9

Step-by-step explanation:

For i):

1 = million

7 = hundred thousand

8 = ten thousand place

3 = thousand

4 = hundred

2 = tens (twenty)

1 = unit (one)

For ii):

The successor of a number is the number that comes after the given number. The successor of a given number is 1 more than the given number. Every number has a successor by adding 1 to every number.

For instance, the successor of 0 is 1, the successor of 1 is 2, and so on.

In this case, the successor of 8 is 9 because 8 + 1 = 9

Hope this makes sense. If you need further explanation, let me know.

- profparis

Answer:

i)8

ii)1783429

Step-by-step explanation:

for i, count upto ten thousand and for ii, add 1 to the number

Find the distance between the points.

Answers

Answer:

8

Step-by-step explanation:

Answer:

it will be 8

Step-by-step explanation:

A car rental agency has 42 cars (each an identical model). the owner of the agency finds that at a price of $32 per day, all the cars can be rented; however, for each $1 increase in rental cost, one of the cars is not rented. what should the agency charge to maximize income?

Answers

Answer:

increase to 38 and have the unused ones in for maintenance

This is a recipe that makes 30 chocolate chip cookies:
- 150g butter
- 160g sugar
- 225g plain flour
- 1 large egg
- 12 teaspoon bicarbonate of soda
- 200g chocolate chips
Miss Watson wants to make 25 cookies for her class.
How much plain flour will she need?

Answers

Step-by-step explanation:

30: 225 = 25: X

30/225= 25/X

30×X = 225×25

30X = 5625

X = 187.5

) Neena buys books and puzzles at a yard sale. The price of a book is the same as the price of a puzzle. She spends $15.The situation can be represented by the graph and system of equations shown, where b is the price of each book and p is the price of each puzzle. What is the price of each book? What is the price of each puzzle?​

Answers

Answer:

Each one 7.50 :)

Step-by-step explanation:

When we add, we can solve this!

7.50 + 7.50 = 15

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Each costs $7.50

Step-by-step explanation:

Given

1 book and 1 puzzle costs $15Both have the same cost

Solving

If they cost the same, divide the whole cost by the number of items (2)$15/2 = $7.50 [cost of a book/puzzle]

The graph of p = 400 and the graph of p = 50s – 200 intersect at the point (12,400). If the equation p = 50s – 200 represents the profit, p, based on s sales, what does the intersection best represent?

a. When the sales are 400, the profit is 12.
b. When the sales are 12, the profit is 400.
c. The profit is always 400.
d. The sales are always 12.

Answers

When sales 12 profit is 400 which is B

Part A Write a numerical expression to represent the approximate perimeter of triangle FGH in terms of the lengths of its sides.
side FG and FH are 5.8 and side HG is 6 units ​

Answers

p=FG+FH+HG =5.8+5.8+6 is a numerical expression to represent the approximate perimeter of triangle FGH.

Perimeter

The perimeter of a geometric figure is the sum of its sides.

The question  gives:

the geometric figure - trianglethe sides of the triangle - 5.8, 5.8 and 6

Therefore the perimeter will be the sum of 5.8, 5.8 and 6. You can write as:

                                         p=FG+FH+HG

                                         p= 11.6+6=17.6

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