At lunch, 8 friends share 6 sandwiches equally. What fraction of a sandwich does each friend get?

Answers

Answer 1

Answer:

The fraction of a sandwich each friend get is 3 / 4.

What are a ratio and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

It is given that 8 friends share 6 sandwiches equally. The fraction will be calculated as below:-

Fraction = 6/8

Divide the number 6 by 8.

Fraction = 3/4

Therefore, the fraction of a sandwich each friend get is 3 / 4.

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Answer 2

Answer: 8 friends share 6 sandwiches equally ⇒ fraction = 6/8 = 3/4 of a sandwich for each friend get

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PLEASEE HURRY!!!!!!!! Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
A: b must equal 7 and a second solution to the system must be located at the point (2, 5).
B: b must equal 1 and a second solution to the system must be located at the point (4, 5).
C: b must equal 7 and a second solution to the system must be located at the point (1, 8).
D: b must equal 1 and a second solution to the system must be located at the point (3, 4).

Answers

Answer:

Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)

Step-by-step explanation:

step 1

Find the vertex of the quadratic equation

The general equation of a vertical parabola in vertex form is

$y=a(x-h)^2+k$

where

(h,k) is the vertex

we have

$(x-3)^(2)=y-4$

$y=(x-3)^(2)+4$

The vertex is the point (3,4)

step 2

Find out the value of b in the linear equation

we know that

If the vertex is a solution of the system of equations, then the vertex must satisfy both equations

substitute the value of x and the value of y of the vertex in the linear equation

$y=-x+b$

For x=3, y=4

$4=-3+b$

$b=7$

$y=-x+7$

step 3

Find out the second solution of the system of equations

we have

$y=(x-3)^(2)+4$ -----> equation A

$y=-x+7$ ----> equation B

solve the system of equations by graphing

Remember that the solutions are the intersection points both graphs

The second solution of the system of equations is (2,5)

see the attached figure

therefore

b must equal 7 and a second solution to the system must be located at the point (2, 5)

Answer:

Step-by-step explanation:

How do you find percentages?

Answers

To calculate percentage increase, use the following method:

First, Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Now, divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Also, If your answer is a negative number it is a percentage decrease.

To calculate percentage decrease, use this method:

First, Work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then, divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

Also, If your answer is a negative number then it is a percentage increase.

If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula. Positive values indicate a percentage increase whereas negative values indicate percentage decrease.

Which value x makes the equation 0.75(x+20)=2+0.5(x-2)

Answers

The value of x that will make both equations to be equivalent to each other is = -56

From the equation:

0.75(x + 20) = 2 + 0.5(x - 2)

Open brackets

0.75x + 15 = 2 + 0.5x - 1

Collect like terms

0.75x - 0.5x = 2 - 1 - 15

0.25x = - 14

Divide both sides by 0.25

$\mathsf{(0.25x)/(0.25) =( - 14)/(0.25)}$

x = -56

Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56

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0.75(x+20)=2+0.5(x-2)

Distribute on both sides

0.75x+15= 2+0.5x-1

Add common factors

0.75x+15=1+0.5x

Subtract 0.5x on both sides

0.25x+15=1

Subtract 15 on both sides

0.25x=-14

Divide by 0.25 on both sides

x = -56

During a 5-dayworkweek, the stock market decreased
by 65 points. Find the average daily
change in the market for the week.

Answers

Answer:

-13 points per day

Step-by-step explanation:

1) to find the per day average we need to divide the number of points by the number of days:

-65/5=13

-13 points/1 day

Change 2x+2y=6 into y=mx+b format please!!!

Answers

If you want it in that format and simplified, this is it. y=-x+3
If you dont need it simplified then the answer is 2y=-2x+6

y=-1x+3 or y=-x+3

Because x is 1 so either one would work. :)

To estimate the product of 5 and 193 round 193 to the nearest hundred before multiplying

Answers

The nearest hundred value of 193 is 200

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The product of 5 and 193 round 193 to the nearest hundred

So, the nearest round off of 193=200

=5x200

=10000

Therefore, the nearest round of this algebra will be 200

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Round your number to 200 , then set up your equation,

200 - 5 after you have the equation it's pretty straight-forward but since i'm teaching elementary, its 195.

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