MATHEMATICS HIGH SCHOOL

X + y = kx - y = k
The solution to the system shown is _____.
(0, k)
(2, 2)
(k, 0)

Answers

Answer 1
Answer:

Answer:

(k,0)

Step-by-step explanation:

x+y=k

x-y=k

To solve for x  and y we add both equations

x+y=k

x-y=k

---------------------------

2x=2k

Divide both sides by 2

x=k

Now plug in k for x and find out y

x+y=k

k+y=k

Subtract k on both sides

y=0

Ordered pair is (x,y) that is (k,0)
Answer 2
Answer: Hello,
Adding the 2 equations,
x+y+x-y=k+k ==>2x=2k==>x=k
if x=k, y=k-k=0
solution is (k,0)

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Tell how you can determine whether a number is a solution of an equation.
A Roast is taken from the refrigerator (where it had been for several days) and placed immediately in a preheated oven to cook. The temperature R = R(t) of the roast t minutes after being placed in the oven is given bya. What is the temperature of the refrigerator? b. Express the temperature of the roast 30 minutes after being put in the oven in functional notation, and then calculate its value. c. By how much did the temperature of the roast increase during the first 10 minutes of cooking? d. By how much did the temperature of the roast increase from the first hour to 10 minutes after the first hour of cooking?

Latoya performs an experiment using the lab equipment shown.Which two properties is Latoya most likely measuring?

mass and volume

volume and temperature

temperature and length

length and mass

Answers

Answer

B volume and temp

Step-by-step explanation:

The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped

Answer:

B

Step-by-step explanation:

The dimensions in inches of a shipping box can be expressed as width x, length x + 1, and height x - 4. The volume is 84 ft^3. Find the dimensions of the box in feet. 1, 1, 4
2, 2, 21
2, 6, 7
3, 4, 7

Please help? If somebody can help put this into an equation for me, I can do the rest. Thanks

Answers

Answer:

The dimensions of the box are

2,6,7

Step-by-step explanation:

we know that

The volume of a box in the shape of a cube is equal to

V=W*L*H

where

W is the width of the box

L is the length of the box

H is the height of the box

In this problem we have

V=84\ ft^(3)

W=x\ ft

L=x+1\ ft

H=x-4\ ft

Substitute the values in the formula of volume

84=x*(x+1)*(x-4)

84=(x^(2)+x)*(x-4)\n84=x^(3) -4x^(2)+x^(2)-4x\n84=x^(3)-3x^(2)-4x\nx^(3)-3x^(2)-4x-84=0

Using a graphing tool

Solve the cubic function

see the attached figure

The value of x is equal to

x=6\ ft

the dimensions of the box are

W=x\ ft=6\ ft

L=x+1\ ft=6+1=7\ ft

H=x-4\ ft=6-4=2\ ft
84ft^3= (x-1)•x-4(x)

Maybe, then you would need to solve get the solution of x and plug it in for the demensions, hope this helps! (Not exactly positive that is my is correct but believe it is at least close!)

47.44Cassidy wrote the linear equation y 5x+4 Then, she wrote the equation of the line that is parallel to y 5x+4and thatpasses through (8, 2). lf her new equation is in the formy 5x+ b, what is the value of b?Mark this and returnSave and ExitNextSubmit

Answers

y=mx+b
m=slope
paralell has same slope

point (8,-2)
x=8 and y=-2 is a solution

sub those for x and y
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Adrianne invested $2000 in an account at a 3.5% interest rate compounded annually. She madeno deposits or withdrawals on the account for 4 years. Determine, to the nearest dollar, the
balance in the account after the 4 years.

Answers


With the information given, you can make the expression 2000*3.5%*4, because the interest in a year is 3.5% of 2000 and it goes for four years.

Change 3.5% to 0.035:

2000*0.035*4

Multiply:

70*4

280

To find the total balance, add 2,000 to the amount of interest earned, 280.

2000+280=2280.

Therefore, after the 4 years pass, the account balance is $2280.

The price of a flight was increased by 2% to £700. What was the price before the increase? Give your answer to the nearest penny.

Answers

Answer:

$686.27

Step-by-step explanation:

700$=102% so the price before the increase was 100%

The bakery bought four bags of flour containing 3.5 kg each 475 g of flour are needed to make a batch of muffins and 0.65 kg is needed to make a loaf of bread if 4 batches of muffins and five loaves of bread are baked how much flour will be left give your answer in kilograms

Answers

First we have to find total mass of flour.
4*3.5kg=14kg
Now we are calculating how much flour we used for muffins
475g=0.475kg
0.475kg*4muffins=1.9kg
and now how much flour we used for bread
0.65kg*5bread=3.25kg
Finally we can subtract 1.9 and 3.25 from 14kg
14kg-1.9kg-3.25=8.85kg - its the answer

The left out amount of floor is \boxed{\bf8.85\,\,{\text{kilogram}}}.

Further explanation:

The weight of one bag of flour is 3.5 kg.

The bakery bought 4 bags of flour.

Therefore, the total weight of 4 bags is calculated as follows:

4*\left({3.5\,\,{\text{kg}}}\right)=14\,\,{\text{kg}}

The weight of flour needed for a batch of muffins is 0.475 kg.

Therefore, the weight of flour needed for 4 batches of muffins is calculated as follows:

4*\left({0.475\,\,{\text{kg}}} \right)=1.9\,\,{\text{kg}}

The weight of flour needed for a loaf of bread is 0.65 kg.

Therefore, the weight of flour needed for 5 loaves of bread is calculated as follows:

5*\left( {0.65\,\,{\text{kg}}} \right)=3.25\,\,{\text{kg}}

So, the total weight of floor used in the process of making muffins and loaves of bread is calculated as follows:

3.25\,\,{\text{kg+}}1.9\,\,{\text{kg}}=5.15\,\,{\text{kg}}

Now, the weight of floor that is left out in the bag is calculated as follows:

14\,\,{\text{kg}}-5.15\,\,{\text{kg}}=8.85\,\,{\text{kg}}

Thus, the left out amount of floor is \boxed{\bf8.85\,\,{\text{kilogram}}}.

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12brainly.com/question/1600376

2. What is 20÷2(5+5) brainly.com/question/365957

3. Ten hundredths in standard formbrainly.com/question/228852

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Basic Algebra

Keywords:  Bakery, bags, flour, 3.5 kg, muffins, bread, loaf, loaves, kilograms, kg, share, subtract, equally, 8.85 kg, weight, bought
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