Which expression is equivalent to 4 + 2(1 + 3x)? A 24x
B 6 + 6x
C 4 + 8x
D 6+18x



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Answer:

x = −1/13 and y = 33/13 or 2 7/13

Step-by-step explanation:

x+2y=5

x+2(6x+3)=5

x+12x+6=5

13x+6=5

-6        -6

13x= -1

/13     /13

x= -1/13

y=6x+3

y=6(-1/13)+3

y= 33/13

y= 2 7/13

Answer:

47 mL

Step-by-step explanation:

Note each marble increases the height by 3 mL, and we start with 8 mL, so we multiply 3 by 13, and add it to 8

The volume of each marble is 0.5 ml. The volume after dropping 13 marbles is 14.5 ml.

The volume of an object is the amount of space occupied by a three dimensional object.

A graduated cylinder can be used to measure the volume of a cylinder. Given that After dropping in 4 marbles, the height is 10 ml and After dropping in 6 marbles, the height is 11 ml.

Hence:

Volume per marble = (11 ml - 10 ml) / (6 - 4) = 0.5 ml

The volume of each marble is 0.5 ml.

If the initial volume is 8 ml, after 13 marbles, height = (8 ml + 0.5 * 13) = 14.5 ml.

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Answer:

solution is in attachment

hope it helps

Answer:

A

Step-by-step explanation

I got the right answer

Answer:

$0.00  $1.00    $1.50    $4.50

Step-by-step explanation:

Answer:

7:8

Step-by-step explanation:

First, convert their times to common units. You'll want to put it in seconds:

5 minutes and 50 seconds = 350 seconds

- multiply 5 minutes by 60 to get it into seconds and then add the other 50 seconds to it

- for Elizabeth's time, multiply 6 by 60 seconds and add 40 to it

To get the ratio of their times, divide Alison's time by Elizabeth's time:

350 ÷ 400 = 7:8

Answer:

a) 7:8

Step-by-step explanation:

Alison: 5 minutes and 50 seconds = 355 seconds

Elizabeth: 6 minutes and 40 seconds = 400 seconds

355:400, reduces to 71:80 or 7:8

Answer:

3 and 4

Step-by-step explanation:

The number of hardcover books will be 3,4, and 8.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tim is sorting his book collection into groups. He places each group onto bookshelves that can each hold a maximum of 25 pounds. His collection includes hardcover books that weigh 3 pounds each and softcover books that weigh 2 pounds each.

Total weight = 25 pounds

The number of hardcover books which weigh less than 25 pounds is,

3 x 3 pounds = 9 pounds

4 x 3 pounds = 12 pounds

8 x 3 pounds =- 24 pounds

Therefore, the number of hardcover books will be 3,4, and 8.

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Answer:

3

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Area of A is 50 cm ^2

length of A is 10

Area of B is 50/2 cm^2 or 25cm^2

area for all rectangles is length * width

so area of B divided by length of b is width of b

25/10 = 2.5

width of b is 2.5

Answer:

72 rods

Step-by-step explanation:

First, find the volume of each rod, using the formula V = [tex]\pi[/tex]r²h

Plug in pi, the radius, and height, and solve:

V = [tex]\pi[/tex]r²h

V = (3.14)(2²)(60)

V = (3.14)(4)(60)

V = 753.6

So, each rod has 753.6 cm³ of steel.

Divide 54,259.2 by this to find how many rods it will make:

54,259.2 / 753.6

= 72

So, it will make 72 rods.

A AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Answer:

-5-7×4=-5-28=-33

........

Answer: -33

Step-by-step explanation:

1. -5 - 7(4)

2. -5 - 28

3. -33

Answer:

n = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

you can create this proportion:

18/n = n/6

cross-multiply:

n² = 108

n = [tex]\sqrt{108}[/tex]

[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]

Answer:

Brings the Line down 3

Answer:

-3 + 10i

sqrt-100 = sqrt100i

sqrt100 = 10

So,

-3 + 10i

Answer:

Number of cookies sold is 2000 and number of cupcakes sold is 1500

Step-by-step explanation:

Let number of cookies be [tex]x[/tex]

and number of cupcakes be [tex]y[/tex] so

[tex]x+y=3500[/tex]

Cost of one cookie is $0.75

Cost of one cupcake is $2

[tex]0.75x+2y=4500[/tex]

[tex]x+y=3500[/tex] [tex]\times 2[/tex]

[tex]2x+2y=7000[/tex]

[tex]-1.25x=-2500\\\Rightarrow x=\dfrac{2500}{1.25}\\\Rightarrow x=2000[/tex]

[tex]y=3500-x=3500-2000\\\Rightarrow y=1500[/tex]

Number of cookies sold is 2000 and number of cupcakes sold is 1500.

Answer:

angles that are all equal and sides that all have the same length

Step-by-step explanation:

Answer:

A polygon is any shape with at least three straight sides,

and angles. It can only have straight sides and has to be closed.

Step-by-step explanation:

A polygon is any shape with at least three straight sides,

and angles. It can only have straight sides and has to be closed.

Answer:

(d)

Step-by-step explanation:

Given

See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]

Required

The transformations

Using B and B"" as points of reference, we have:

[tex]B = (1,4)[/tex]

[tex]B"" = (5,-1)[/tex]

The transformation is as follows:

First, reflect across y axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]B(1,4) \to B'(-1,4)[/tex]

Next, translate 6 units right.

The rule is:

[tex](x,y) \to (x + 6,y)[/tex]

So, we have:

[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]

[tex]B' (-1,4) \to B"(5,4)[/tex]

Lastly, translate 5 units down

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]B"(5,4) \to (5,4-5)[/tex]

[tex]B"(5,4) \to (5,-1)[/tex]

Hence; (d) is correct

Answer:

this is easy. all you have to do is figure out what 18% of 389 is and then subtract that answer from 389. the easy trick i use is to make a fraction with the numerator being a question mark and the denominator being 389 (displayed below). then you would make a second fraction with 18 as the numerator and 100 being the denominator (displayed below). you would then multiply 389 with 18 and divide by 100 to get the numerator of the first fraction (which is 70.02). now you subtract 70.02 from 389 (being 318.98). this would mean that Megan has not done the math correctly.

Step-by-step explanation:

?/389 = 18/100

389 x 18 = 7002

100/7002 = 70.02

389 - 70.02 = 318.98

Answer:

[tex]9b^2=16\\b^2=\frac{16}{9} \\\b=\frac{4}{3}[/tex]

Answer:

±4/3

Step-by-step explanation:

9b² = 16

b² = 16/9

take square root of each side

b = ±4/3

Answer:

8x^3-10x^2-14x-9

Step-by-step explanation:

Answer:

8x^3 - 10x^2 - 14x - 9

Step-by-step explanation:

Answer:

$253.75

Step-by-step explanation:

He earns $50.75/week. Do 50.75 x 5 = $253.75

Answer:

Step-by-step explanation:

There are 3 bags to be shared among 7 people.

Therefore each person will get 3/7    bags.

I couldn't think of a way of explaining the question in terms of bags when I wrote my answer. Suppose you try this.

Weigh each bag separately.

Add the weights (or masses) together.

Divide by 7

Another way is to weigh each bag separately. There are three bags and seven people. Each person will get 3 parts of the total divided by 7.

This will solve the problem in a practical manner. Give the Brainliest to the other responder who did a much better job of explaining it than I have.

Answer:

[tex]\frac{7}{3}[/tex] or 2[tex]\frac{1}{3}[/tex] of a bag of trail mix

Step-by-step explanation:

To find the fraction of trail mix each friend will get, divide the number of friends by the number of bags of trail mix:

Since there are 7 friends and 3 bags of trail mix, the fraction will be [tex]\frac{7}{3}[/tex]

This can also be simplified to a mixed fraction, 2[tex]\frac{1}{3}[/tex]

So, each friend will receive [tex]\frac{7}{3}[/tex] or 2[tex]\frac{1}{3}[/tex] of a bag of trail mix.

Answer:

h^7

Step-by-step explanation:

Its just adding another power.

Answer: h^7

Step-by-step explanation: I'm pretty sure! if not thats my bad

Answer:

AC ≈ 10.1 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )

AC × cos20° = 9.5 ( divide both sides by cos20° )

AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )

The Perimeter of the polygon is 48 cm.

A polygon is a closed figure made up of three or more line segments connected end to end.

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 5 + 6 + 6 + 7 + 7 + 6 + 6 + 5

Perimeter of the polygon = 11 + 13 + 13+ 11

The perimeter of the polygon = 48

Hence the Perimeter of the polygon is 48 cm.

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Answer:

A

Step-by-step explanation:

-5(2) + (-5)(1/16)

Answer:

I SUCK AT WORD PROBLEMS TOOOO LOL

Step-by-step explanation: