1.Find the product of 419 and 321. ​

Answer:

125 x 7 = 875 pieces of popcorn

100 x 7 = 700 pieces

Step-by-step explanation:

Answer:

Step-by-step explanation:

B and C

Answer:

C and D

Step-by-step explanation:

The lines are parallel to eachother dont worry about what the lines is in the middle

for the second question, it is the same thing, the lines are both going straight

which means that they are parallel

Answer:

C and D

Step-by-step explanation:

Answer:

36 pencils

[tex]Cost = 0.2[/tex]

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is [tex]\frac{x}{180}[/tex]

[tex]Selling\ Price = Cost + Profit[/tex]

[tex]Selling\ Price = \frac{x}{180} + 2[/tex]

Since all but 6 items were sold, the total selling price is:

[tex]Total = (x - 6)(\frac{x}{180} + 2)[/tex]

This amount can be used to buy 30 more items.

So, we have:

[tex](x - 6)(\frac{x}{180} + 2) = x + 30[/tex]

Multiply both sides by 180

[tex]180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)[/tex]

[tex](x - 6)(x + 360) = 180x + 5400[/tex]

Expand brackets

[tex]x\² + 360x - 6x - 2160 = 180x + 5400[/tex]

[tex]x\² + 354x - 2160 = 180x + 5400[/tex]

Equate to 0

[tex]x\² + 354x - 180x - 2160 - 5400 = 0[/tex]

[tex]x\² + 174x - 7560 = 0[/tex]

Expand

[tex]x\² + 210x - 36x - 7560 = 0[/tex]

[tex]x(x + 210) - 36(x + 210) = 0[/tex]

[tex](x - 36)(x + 210) = 0[/tex]

[tex]x - 36 = 0[/tex] or [tex]x + 210 = 0[/tex]

[tex]x = 36[/tex] or [tex]x = -210[/tex]

Since, number of items can't be negative, we have to discard x = -210.

Hence:

[tex]x = 36[/tex]

We can then conclude that, Mr. Javier purchased 36 pencils

Recall that

[tex]Cost = \frac{x}{180}[/tex]

[tex]Cost = \frac{36}{180}[/tex]

[tex]Cost = 0.2[/tex]

Answer:

-5[tex]x^{3}[/tex] + 65x + 60

Answer:

dilation

Step-by-step explanation:

dilation will make the shape larger or smaller which will change the shape.

Answer:

3x + 9y = 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

21 drawings

Step-by-step explanation:

The number labelings are 0 - 49

The minimum set that could be the same number is the labeling 0, 10 , 20

It could also be 1, 11, 21 or even 2,12,22

In all the cases, we can be sure that we might have three labelings ending with the same number when we pull our ball labeled 20

That makes a total of 21 drawings

Following are the response to the given question:

Pigeon Hole's Principle can also be used to tackle this problem. Assuming that we already have labels ranging from [tex]0\ to\ 49.[/tex]

Each digit ending is represented by five balls.

In the pigeonhole principle, it [tex]kn+1[/tex] objects [tex](k \geq 1)[/tex] are distributed among n boxes, one of the boxes will contain at least [tex]k+1[/tex] objects. Assume that you draw a ball and place it in a box labeled with its last digit. So there will be n = 10 boxes.

According to the pigeon hole concept, you need to draw [tex]kn+1[/tex] balls to assure that at least one of the boxes includes [tex]k+1[/tex] objects. Because [tex]k+1 = 3,[/tex] we require three objects in at least one box (we need three balls ending with the same digit).

[tex]k + 1 = 3 \\\\k =2[/tex]

Therefore, we have to draw [tex]kn+1[/tex] balls, [tex]k = 2, n = 10[/tex], at least[tex]21\ balls[/tex] must be drawn to ensure that at least three of them have the same 1 digit.

Learn more:

brainly.com/question/10898731

Answer:

42

It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.

But at least its correct.

Ms. Smith still have 42 ounces of candy in her bag.

To subtract means to take away from a group or a number of things.

Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.

1 pound = 16 ounces

She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds

3 pounds = 16*3 ounces = 48 ounces

She ate 6 ounces of candy

Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.

Hence, Ms. Smith still have 42 ounces of candy in her bag.

For more references on Subtraction, click;

https://brainly.com/question/2346316

#SPJ2

Answer:

[tex]AC=15.9976[/tex]

Step-by-step explanation:

Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

Step 1: Define

a = 8 ft

A = 30°

b = ?

B = 89°

Step 2: Substitute and Evaluate

[tex]\frac{sin(30)}{8} =\frac{sin(89)}{b}[/tex]

[tex]bsin(30)=8sin(89)[/tex]

[tex]b=\frac{8sin(89)}{sin(30)}[/tex]

[tex]b=16cos(1)[/tex]

[tex]b=15.9976[/tex]

[tex]AC=15.9976[/tex]

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

[tex]m_2 = 6x + 8[/tex]

[tex]m_6 = 8x - 6[/tex]

Required

Determine x when both lines are parallel

For parallel lines, slopes must be equal.

i.e.

[tex]m_1 = m_2[/tex]

In this case,

[tex]m_6 = m_2[/tex]

Substitute values for m6 and m2

[tex]8x - 6 = 6x + 8[/tex]

Collect Like Terms

[tex]8x - 6x = 8 + 6[/tex]

[tex]2x = 14[/tex]

Solve for x

[tex]x = 14/2[/tex]

[tex]x = 7[/tex]

Answer:7

Step-by-step explanation:

Answer && Step-by-step explanation:

We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right

it will always be negative due to the negative sign being outside the abs val,

and the abs val, making the inside positive.

thus the resulting graph will be inverted from what was previously said

it will now come from the bottom right to the top left (still a diagonal line)

Answer:

Step-by-step explanation:

see attached

-2 -7 = -9

Answer: B. 8 x 10^3

Step-by-step explanation:

b. 8 x 10³

hope this helps

Answer:

105

Step-by-step explanation:

55 + 20 + x = 180

Draw out a vertical number line. Positive values are above 0, and negative values are below zero.

Answer:

x=-1

Step-by-step explanation:

The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).

3x+6=4x+7

-3x    -3x

6=x+7

All we need to do now is subtract 7 on both sides.

6=x+7

-7    -7

-1=x  or  x=-1  (they both mean the same thing!)

Hope this helps!! Have a wonderful day c:

Answer:

First one

Step-by-step explanation:

50 + 30 can be broken up into (10x5)+(10x3). You can simplify that into 10(5+3) because 10 x 5 =50 and 10x 3 = 30. :)

Answer:

10(5+3)

Step-by-step explanation:

If If you multiply 5 and 3 by 10 you'll get 50 + 30

Answer:

The answer is 1 to 3.5 I know that's the answer because I looked it up and that looks pretty easy

Answer:

$2.92 per pound

Step-by-step explanation:

$2.92 is per pound

Step-by-step explanation:

12

Answer:

11

Step-by-step explanation:

11+12+13 =36

So  Kate would be 11. Bradley would be 12. And Cameron would be 13

Answer:

axons

Step-by-step explanation:

The axons  is the part of the neuron that carries information away from the cell body.

Answer: axon

Step-by-step explanation:

I just know cause I'm a different breed

The estimated quotient is 3. This is because 9 1/3 rounds to nine and 2 3/4 rounds to 3.

Answer:

The quotient gives: 3  13/33

Step-by-step explanation:

We start by converting the mixed numbers into improper fractions, since we can easily divide fractions.

the number 9 1/3  can be written as: 27/3 + 1/3 = 28/3

the number 2 3/4 can be written as: 8/4 + 3/4 = 11/4

Now we can divide them using the properties of dividing fractions:

28/3 divided by 11/4 = 28/3 * 4/11 = 112/33

which in mixed number form is : 99/33 + 13/33 = 3  13/33

Answer:

  A  49

Step-by-step explanation:

Any odd number that has 7 as a factor will be a candidate. Of the choices listed, the only possibility is ...

  49

__

If the number is even and has 7 as a factor, then it will be a multiple of 14. That is, the GCF will not be 7, but will be 14. Hence, the number must be an odd multiple of 7.

Answer:

Point C

Step-by-step explanation:

Since -0.095 is less negative than -0.1 it will be closer to zero and this number line more towards the right. since each dash in the line represents 0.01 and the difference between -0.1 and -0.095 is only 0.005 it will be really close to -0.01.

Answer:

c. supplementary angles

Step-by-step explanation:

Answer:

Step-by-step explanation: