solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5

Answer:

1512

189 in³

Step-by-step explanation:

Here is the complete question

A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.

a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?

b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box

A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box

volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³

volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³

189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512

b. 1/8 x 1512 = 189 in^3

Answer:

100 ft²

Step-by-step explanation:

There are 4 congruent sides in a square

Perimeter = 4x

40 = 4x

x = 10

Area = base x height or length x width

Since all sides are the same, 10 is base and height

10x10 = 100

units = ft²

Answer = 100 ft²

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

100 feet (I forget area units so there might be an exponent or something)

Step-by-step explanation:

Basically, the formula for perimeter is the sum of all sides. With area, you are just multiplying length times width. With a square, all of the sides are equal, and there are four sides. 40/4=10. So, each side is 10 feet. With that, you can multiply 10*10 and get 100!

Answer:

87.96 or 88 - surface area

62.83 or 63 - volume

Step-by-step explanation:

Answer:

Surface area: 89 yd

Volume = 63 yd

Step-by-step explanation:

Surface area:

A=2πrh+2πr^2

=2·π·2·5+2·π·2^2

=87.96459

Volume:

V=πr2h

=π·22·5

=62.83185

Answer:

N= 5

Step-by-step explanation:

30 ÷ 6 = n

n = 5

30 ÷ 6 = 5

Hope this helps!!

Answer:96

Step-by-step explanation:

Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS

Answer:

1st one

Step-by-step explanation:

Linear means straight and when you graph this one it is a straight line

Answer:

A

Step-by-step explanation:

from age 5 to age 15 the number of hourse watched goes up and so on

Answer:

probably 5 because thats half of 10 i guess

Step-by-step explanation:

Answer:

<3 and <4

Step-by-step explanation:

Is there arc length or may be radius

Answer:

Hello! answer: 120

Step-by-step explanation:

Formula for triangle area:

base × height ÷ 2

24 × 10 = 240 240 ÷ 2 = 120 therefore the area is 120 Hope that helps!

Answer:

- 4.2x - 6y + 3.6

Step-by-step explanation:

- 2(2.1x + 3y - 1.8)

- 4.2x - 6y + 3.6

Answer:

-4.2x+6y-2.16

Step-by-step explanation:

multiply everything by -2

Answer:

120 degrees

Step-by-step explanation:

There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.

Answer:

120⁰ is the answer. Hope it helps have a nice day also ;)

Answer:

Step-by-step explanation:

g

Answer: G

Step-by-step explanation: hope this helps!

Answer:

52

Step-by-step explanation:

The general arithmetic sequence formula for this case is

a(n) = -4 + d(n - 1).

Thus, a(15) = -4 + 4(14) = 52

Answer:

The 15th term = 52

Step-by-step explanation:

a₁ = -4

d = 4

n = 15

a₁₅ = The value of the 15th term, (this is what we have to find out)

We know that formula of an arithmetic series is:

aₙ = a₁ + d(n - 1)

Now we can substitute the given values in:

a₁₅ = -4 + 4(15 - 1)

a₁₅ = -4 + 4(14)

a₁₅ = -4 + 56

a₁₅ = 52

So the 15th term = 52

Hope this helps!

Answer:

A, B, and C. Not D.

Step-by-step explanation:

He wants all four colors to have equal share on the quilt which means each color needs to have 4 squares each to make up equal share of the quilt. D is the only one that doesn't follow this rule so it is the only one that is incorrect and would not work as a design.

Answer:

216x^9y^12

Step-by-step explanation:

Answer:

792 feet

Step-by-step explanation:

based on my calculations this is the answers.

792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.

Answer:

Extrapolation, because a key that is 12 keys from middle c is outside the data set.

Step-by-step explanation:

Given

See attachment for the data set

Required

Which option answers the question

From the attached dataset, we can see that 12 is not within the range of the data set.

When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.

Hence, (d) is correct

Answer:

d

Step-by-step explanation:

trust me

Answer:

6

Step-by-step explanation:

[tex]\sqrt{4}(4)[/tex] = [tex]\sqrt{16}[/tex]

[tex]\sqrt{16} =4[/tex]

[tex]4 + 2 = 6[/tex]

Answer:

C. 6

Step-by-step explanation:

[tex]\sqrt{4m}+2=\sqrt{4*4}+2=\sqrt{4^{2}} +2=4+2=6[/tex]

Answer:

1) P(none are red) = 51.2%

2) P(third one is the first one that is yellow) = 12.8%

Step-by-step explanation:

We are given;

P(Yellow) = 20% = 0.2

P(red) = 20% = 0.2

P(Orange) = 10% = 0.1

P(Blue) = 10% = 0.1

P(green) = 10% = 0.1

P(brown) = 30% = 0.3

1) Probability that one is not red is;

P(one not red) = 1 - P(red)

P(one not red) = 1 - 0.2

P(one not red) = 0.8

Since 3 are selected, we will apply multiplication rule for independent events to get;

P(none are red) = 0.8 × 0.8 × 0.8

P(none are red) = 0.512

P(none are red) = 51.2%

2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;

P(third one is the first one that is yellow)

= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)

P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2

P(third one is the first one that is yellow) = 0.128

P(third one is the first one that is yellow) = 12.8%

Answer:

2/5

Step-by-step explanation:

Answer:

No, the game is not fair because Christopher has a higher probability of winning than Janet.

Step-by-step explanation:

christopher's probability: 9/19

janet probability: 7/19

Answer:

−6x + 10

Step-by-step explanation:

- (−3) (2x) + (−3) (−4) + −2

-  −6x + 12 + −2

- (−6x) + (12 + −2)

= −6x + 10

Answer:

I would say A. as a best guess but the question is odd it does not add up to 101 students it adds up to 101 plus all of them are female juniors so they would be picked every time it would be 101/101

Answer:

59×695÷500×56677×6626

Answer:

4.8

Step-by-step explanation:

Answer:

4.8%

Step-by-step explanation:

to do this create a ratio and cross-multiply

[tex]\frac{60}{1240} = \frac{x}{100}[/tex]

now that we have a our ratio, where x = the percent of poisonous trees, we can cross-multiply and solve to find its value

cross-multiplying leaves you with

[tex]1240x=6000[/tex]

now solve for x, dividing both sides of your equation by 1240

once you've divided, you should be left with

[tex]4.8[/tex]

since this number is already out of 100, it is equivalent to your percent, so slap a percent sign on the end and you're done!