Franco is solving a system of linear equations algebraically. He find that there
are an infinite number of solutions. Which is a possible step in his solution?

Answer:

3y+2x+5y+3x

Step-by-step explanation:

sepreate the varible numbers from the reguler

Answer:

x = 11

Step-by-step explanation:

3(x-5) = 18

Step one: Distrubute 3 to the numbers in the parenthesis.

3x - 15 = 18

Step two: Add 15 on both sides

3x = 33

Step three: Divide by 3 on both sides

x = 11

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.

Answer:

1.5 as fraction it is  3/2 in simplest form

Step-by-step explanation:

The simplest form of the expression given is 3/2

A mathematical statement containing variables, numbers and connected by a mathematical operator is called an expression.

Given that, an expression  [tex]4\frac{1}{5}[/tex]  × [tex]\frac{5}{14}[/tex]

We are asked to simplify them,

[tex]4\frac{1}{5}[/tex]  × [tex]\frac{5}{14}[/tex]

= 21 / 5 × 5 / 14

= 21 / 14

= 3/2

Hence, the simplest form of the expression given is 3/2

Learn more about expressions, click;

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Answer:

2.5 hours

Step-by-step explanation:

it takes 7.5 min to cook each pound, so, take 20 times 7.5 to get the amount of time.

Answer: 191.75 quarts.

Step-by-step explanation:

We know that:

1 quart = 4 cups.

Then:

1 cup = 1/4 quarts.

this means that 1 cup, is equal to 1/4 quarts.

Then 767 cups is equal to 767 times 1/4 quarts.

The change of units is simply:

767 cups = 767*( 1/4 quarts) = 191.75 quarts.

Answer:

Tn = 8n - 2

Step-by-step explanation:

Given the arithmetic sequence

6, 14, 22, 30, 38

The nth term is expressed as;

Tn = a +(n-1)d

a is the first term = 6

d is the common difference = 14 - 6 = 22 - 14 = 8

Substitute into the formula;

Tn = 6 + (n-1)(8)

Tn = 6 + 8n-8

Tn = 8n - 2

Hence the nth term of the sequence is 8n-2

Answer: C

Step-by-step explanation:

6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12

Answer:

∠A = 62°

Step-by-step explanation:

∠ACB = 180 - 116 = 64°

∠A + ∠B + ∠C = 180°

(3x - 13) + (2x + 4) + 64 = 180°

3x + 2x - 13 + 4 + 64 = 180°

5x + 55 = 180°

5x = 180 - 55

5x = 125

x = 125/5

x = 25

∠A = 3x - 13

∠A = 3(25) - 13

∠A = 75 - 13

∠A = 62°

Answer:

v = 38

Step-by-step explanation:

A parallelogram is a quadrilateral in which both sides are the same. That means that 2v is equal to v + 38, and you can solve this. You would get that 2v = v + 38, which means that v = 38.

Answer:

£6

Step-by-step explanation:

300 g = .3 kg

We can use ratios to solve

.3 kg             1 kg

------------- = -----------

1.8                     x

Using cross products

.3x = 1 * 1.8

.3x = 1.8

Divide each side by .3

.3x/.3 = 1.8/.3

x =6

Answer:

-5

Step-by-step explanation:

To find the perpendicular line, first rearrange this into slope intercept form.

y= mx + b

2x - 10y = 100

-10y = -2x +100

y = 1/5x - 10

The slope of a perpendicular line has a slope that is the receipt I’ll of and opposite of this line. The slope here is 1/5 so flip it and you have 5/1. It will also be negative since that slope was positive.

1/5 —> 5/1 —> -5

Answer:

7(z+10)

Step-by-step explanation:

it is factored fully now

Answer:

y=x^7+65x^4+64xu200b

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

9 divided by 1/3 is 27

Answer:

This is the subtraction method

Y -3X = -10

(-Y -2x = -5)  -Y + 2X = 5

Y -3X = -10

-Y + 2X = 5

      -X = -5

X = 5  Now fill in the 5 for X and Y =  5

Answer:

x = 5, y = 5

or

(5, 5)

Step-by-step explanation:

they both equal y so they also equal each other.

3x - 10 = 2x - 5

3x - 2x = -5 + 10

x = 5

substitute x for 5

y = 3x - 10

y = 15 - 10

y = 5

edit, whops forgot to check

just plug the variables in with their values and see if it makes sense:

y = 2x - 5

5 = 2*5 - 5

5 = 10 - 5

5 = 5

since 5 does equal 5, the solution is correct.

Answer:

$324.37

Step-by-step explanation:

First question already answered in other post.

Second Question:

Original price before discount and tax: $354

Discount: 15%

100% - 15% = 85% = 0.85

0.85 * $354 = $300.90

Tax: 7.8%

100% + 7.8% = 107.8% = 1.078

1.078 * $300.90 = $323.37

Answer: $324.37

Answer:

40

Step-by-step explanation:

3 x 2 = 6 so then 20 x 2 = 40

5 + 28 -1

33-1

32

Step-by-step explanation:

According to the BODMAS rule you need to first do division then multiplication then addiction and lastly subtraction. In the question above also you are asked to simplify, So firstly you need to do multiplication, then addiction and then subtraction,

Therefore, you will get the answer of the above question as 32.....

Answer:

Non Proportional​

Step-by-step explanation:

Make a proportion:

For example say you want to test out how many bottles of water you can buy for $10

Proportion:

4 - 6

10 - ?

Solve: 10×6÷4=15

So technically, you could only get 15 bottles for $10. Therefore, this is a non proportional problem.

Answer:

23x >= 1100

Step-by-step explanation:

Answer:

x=4.5

Step-by-step explanation:

2x-5=4

2x=9

x=4.5

Answer:

It's 5, or to find it, 3x =15

Answer:

the original price is 545$

Step-by-step explanation:

299.75$ : 55$ = x : 100

55x = 299.75 x 100

55x : 29975

divide 29975 by 55 =

545

Answer:

B.

(づ￣ ³￣)づHave A nice day Cute Sir

Answer:

Step-by-step explanation:

160

Answer:

slope = 2/3

Step-by-step explanation:

Answer:

.45

Step-by-step explanation: