A factory makes 5,301 plastic forks per hour. How many plastic forks will the factory make in 51 hours?

Answer:

d = [tex]2\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(0-4)^2+(0-10)^2}\\d= \sqrt{(-4)^2+(-10)^2}\\d= \sqrt{16+100}\\d= \sqrt{116}\\d=2 \sqrt{29}[/tex]

Answer:

x = 13

Step-by-step explanation:

Step 1: Define

f(x) = (x - 1)/2

f(x) = 6

Step 2: Substitute and solve for x

6 = (x - 1)/2

12 = x - 1

x = 13

Answer:

-2 or -14/7 (they're the same)

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

-3 ²/₇ - ( - ⁵/₇)

- 23 / 7  + 5 / 7

_  23 + 5

       7

_ 18

    7

- 2 ⁴/₇  

Answer:

5 I’m guessing

Step-by-step explanation:

If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.

Answer:

I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x

I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x

Answer:2, -2, 6 or -6

Step-by-step explanation:

Given,

The location of Ann's house in the number line = 0,

∵ Ben lives 4 blocks from Ann.

So, the possible location of Ben's house =  4 ( right of ann's house ) or - 4 ( left of ann's house )

Now, Carl lives 2 blocks from Ben,

So, the possible location of Carl's house

Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )

Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )

Step-by-step explanation:

farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market

Answer:

x = 6

Step-by-step explanation:

7x+5x+1=73

12x+1=73

12x=72

x= 6

Step-by-step explanation:

42+90 can be written in many ways.

Fore example, it can be written with double negatives, or even commutative property.

42-(-90) or 90+42

(21x2)+(45x2) or (6x7)+(3x30)

Sorry if it's wrong...

Answer: x =168

Step-by-step explanation:I think it would be 80 plus 88 so its 168.  

Answer:

33.75

Step-by-step explanation:

Every box has a height of 2.25 feet so if you multiply 2.25 times 15, you get 33.75.

I hope this helped!

Answer:

Step-by-step explanation:

Assuming A, B, and C are collinear and B is beetween A and C

AB + BC  = AC

48 + 2x + 139 = x + 165

  2x + 187 = x + 165

    x = -22

Answer:

Terms: 7, 8p, -27

Coefficients: 8

Step-by-step explanation:

1. A term is a constant, a variable, or a product of a constant and variable. Therefore, 7, 8p, and -27 are terms.

2. A coefficient is a number that is in front of a variable like 8 in front of p.

Answer:

The coefficients are

11,-4 and 0.

Step-by-step explanation:

We are given two algebraic expressions. We are subtracting the second from the first.

First one is:

(4x²y3 + 2xy2 - 2y)

Second expression is:

(-7x?y3 + 6xy2 – 2y)

The given expression:

(4x²y3 + 2xy2 - 2y) - (-7x?y3 + 6xy2 – 2y)

The coefficients are

11,-4 and 0.

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

[tex]\frac{4^4 4^6}{4^{-10}}[/tex]

He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.

[tex]\frac{4^{10}}{4^{-10}}[/tex]

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].

[tex]10 - (-10) = 10+10 = 20[/tex]

So the final answer should have been [tex]4^{20}[/tex]

Hope this helped!

I even tried this and couldn't figure it out

Answer:

448

Step-by-step explanation:

You just need to multiply 28 by 16

Hey there! I'm happy to help!

To solve by substitution, rearrange one of the equations for one of the variables.

3x+2y=11

Subtract 2y from both sides.

3x=11-2y

Divide both sides by 3.

x=11/3-2/3y

Now we plug this value of x into the second equation to solve for y.

2(11/3-2/3y)-2y=14

We use distributive property to undo the parentheses.

22/3-4/3y-2y=14

We combine like terms.

22/3-10/3y=14

We subtract 22/3 from both sides.

-10/3y=20/3

Divide both sides by -10/3.

y=-2

We plug this value into one of the equations to solve for x.

3x+2(-2)=11

3x-4=11

Add 4 to both sides.

3x=15

Divide both sides by 3.

x=5

So, the solution is x=5 and y=-2 or (5,-2).

Have a wonderful day! :D

Answer:

ok but thx for the points

Step-by-step explanation:

The remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).

Given the polynomial; f(x) = x² + 3x + 7, since it is divided by x + 2, hence:

x + 2 = 0

x = -2

f(-2) = (-2)² + 3(-2) + 7 = 5

Hence the remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.

Find out more at: https://brainly.com/question/19030073

Answer:

C) 7

Step-by-step explanation:

Plug in 14 for n in the equation.

n - 7

14 - 7

Subtract: 14 - 7 = 7

C) 7 is your answer.

~

Answer:

B.61kg

Step-by-step explanation:

use the formula

force÷acceleration=mass

183÷3=61kg

Answer:

34, I think.

Step-by-step explanation:

if you have 29 chocolates, and she won 5, 29+5 equals 34

Answer: 0

Step-by-step explanation:

No matter how you go at it, x is inevtably going to equal 0. To get x by itself, you have to subtract 3 from the right and left side, which leaves 0=x-5x. That leaves you with -4x=0, and when divided, that equals zero.

Answer:

x = 0

Step-by-step explanation:

Given

3 = x + 3 - 5x , that is

3 = - 4x + 3 ( subtract 3 from both sides )

0 = - 4x , thus

x = 0

Step-by-step explanation:

(3x+6x)+(9a-10a)

combine like terms

9x+-a

That's as far as it goes...

Sorry if it's wrong

Answer:

y= -7 - 5x

Step-by-step explanation:

Move all of the terms that dont contain y to the right side and then solve it.

Hope this helps.

The value of the given equation in the form of y is y= -7 - 5x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given equation is -5x – y = 7. The value of the expression for the value of y will be calculated as below:-

-5x – y = 7

-y = 7 + 5x

y = -7 - 5x

Therefore, the value of the given equation in the form of y is y= -7 - 5x.

To know more about an expression follow

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Answer:

C

Step-by-step explanation:

First, notice that this is a cubic function.

The standard form for a cubic function is:

[tex]f(x)=a(x-b)^3+c[/tex]

Where a is the vertical stretch, b is the horizontal shift, and c is the vertical shift.

From our graph, we can see that unlike the parent function, x³, this cubic is 3 units to the right and 1 unit up from the standard position.

Therefore, our b is +3 and c is +1. Let's substitute these values. Also, let's assume a is 1. So:

[tex]f(x)=(x-3)^3+1[/tex]

Therefore, our answer is C.

And we're done!

Answer:

1. true

2. true

3. false

4. false

5. true

6. false

7. fase

8. true

Since PQ = QR = RS,

Let's set PQ equal to RS

2x + 3 = x + 10

Subtract x and 3 from both sides.

x = 7

PQ = 2x + 3 = 2(7) + 3 = 14 + 3 = 17

Since PQ = QR = RS,

QR = 17