Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28

Answer:

Y=-2/3x+10

Step-by-step explanation:

We have the slope -2/3, so we can find the y intercept by plugging in the given coordinate (-3,8). if y=mx+b, 8=-2/3(-3)+b. If you simplify the equation, you would get 8=-2+b, and then you would get 10=b. 10 would then be the y intercept.

Answer:

the conclusion is not valid

Answer: The conclusion is valid by the law of syllogism

The law of syllogism follows the basic form:

If P, then Q

If Q, then R

Therefore, if P then R

We can write it like this

[tex]P \to Q \\\\Q \to R\\\\\therefore P \to R[/tex]

We can think of it like starting at town P, moving to Q, then to R. Or we could go from P directly to R if we aren't worried about the town in the middle (town Q).

Answer:

Step-by-step explanation:

PERCENT CHANGE

The percentage change from 1.20 to 1.80 is 50 %

Our percent calculator uses this formula:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((1.80 - 1.20) / 1.20) * 100 = 50 %

1 yard = 3 feet.

100 yards x 3 = 300 feet.

300 feet x 3/4 = 225 feet.

The answer is 225 feet.

Answer:

225 ft hope it helps

Answer:

100 students selected randomly as their enter your middle school in the morning

Step-by-step explanation:

Answer:

C (100 students selected randomly from your middle school)

Step-by-step explanation:

The first one is wrong because its only 10 people from your homeroom.

The next one is also wrong sense its only 5 people who could also share the same interests as you.

The next one is wrong because its not from their middle school

That leaves us with the last one, its selected randomly with a lot of people involved from their middle school.

Answer: 14/3

Step-by-step explanation: (7/9) (6) = 54/9 = 14/3

Answer:  so, 60 hours = 60/24 days = 2 days 12 hrs

Step-by-step explanation:

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

Answer:

10.7 grams

Step-by-step explanation:

hey there, again!

this is a similar process the mass is denisty*area HOWEVER keep in mind it's flat so the area is just x deltax while denisity is 3 + sin(x)

mass of rod = integral 0 to 3pi/4 of (3 + sin(x))*x deltax

= integral 0 to 3pi/4 of 3x + xsin(x) deltax

= 0 to 3pi/4 [3/2*x^2 + x(-cos(x)) + sin(x)]

= 10.7 grams

Answer:

g(-10) = 345

Step-by-step explanation:

g(x) = 4x² + 3x - 25

~Substitute

g(-10) = 4(-10)² + 3(-10) - 25

~Simplify

g(-10) = 4(100) - 30 - 25

~Multiply

g(-10) = 400 - 30 - 25

~Subtract

g(-10) = 370 - 25

~Subtract

g(-10) = 345

Best of Luck!

Answer:

negative 3

Step-by-step explanation:

Answer:

G. 6 months

Step-by-step explanation:

1. 495-165 to remove the one-time payment = 330

2. 330/55 to find the number of months = 6

Barbara receive 6 months of dance lessons from Dance Unlimited

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, Barbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165.

Let m be the no of months and f(m) is the total cost.

∴ f(m) = 55m + 165.

The equation represents the $495 total cost,

∴ 495 =  55m + 165.

55m = 330.

m = 330/55.

m = 6.

Barbara receives 6 months of dance lessons from Dance Unlimited.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ6

Let a be the amount of 40% solution and b be the amount of pure alcohol that you will use.

You want to end up with a volume of 660 mL, so

a + b = 660

For each mL of solution used, the 40% solution would contribute 0.4 mL of alcohol, and the pure alcohol will contribute 1 mL of alcohol. In the desired solution, you want a concentration of 80% alcohol, so that it contains 0.8 • 660 mL = 528 mL of alcohol, and

0.4a + b = 528

Solve the system of equations above. Subtracting the second from the first eliminates b and lets us solve for a :

(a + b) - (0.4a + b) = 660 - 528

0.6a = 132

a = 220

Then

220 + b = 660

b = 440

So you will need 220 mL of the 40% solution and 440 mL of pure alcohol.

Answer:

it would have won 1/3 or .333333

Step-by-step explanation:

8/24 simplifies to 1/3, which equals .33333

Answer:

I'm pretty sure it's 33%

Step-by-step explanation:

8 is 1/3 of 24 and 1/3 as a fraction is 33%

Answer:

negitive 3

Step-by-step explanation:

i think of it like digging. Negitive going down and positive going up aka put dirt down in the whole. so i am down 7 so i add dirt because the 4 is positive. so then i am at 3. wait make that negitive 3. so the answer is negtive 3.

Answer:

-3

Step-by-step explanation:

Answer:

37, 3, 37

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

You have to but the numbers in order than you cross each of the ends until you get the middle number/median

Answer: 9

Step-by-step explanation:

The median in math is basicly the middle of the list. First, put the list in order from least to greatest. Then, find the middle. If there is no middle, add the two numbers in the middle. Add them together, and divide the sum by two. The quotient is the median.

In this case, there is a middle. The middle is nine. Nine is the median.

Answer:

12 multiplied by 8.24=98.88

Subtract 24 from 98.88=74.88

Answer:  9984

Step-by-step explanation:

In think you just multiply right cause you dis not give any direct message!?!

hope this helped you in any kind of way!?

Answer:

the answer is 9984

Step-by-step explanation:

312

× 32

_______

+624

+936

______

=9984

Answer:

120

Step-by-step explanation:

Use the permutation and combination formulas to evaluate.

Answer:

20

Step-by-step explanation:

just took the test

Answer:

X= -7

Step-by-step explanation:

When you get X to one side and simplify you get -7

8x + 12 = 4 x - 16

Subtract 12 from both sides

8x = 4x - 28

Subtract 4x from both sides

4x = -28

Divide both sides by 4 to get rid of the coefficient so we know what x alone is equal to, instead of what we have currently which shows what 4 x's equals

x = -28/4

x = -7

1x = - 7

One x is equal to - 7 units.

Hope this helps,

Answer:

x= 13

Step-by-step explanation:

(X+2) 3 = (x-4) 5

distribute on both sides: 3x + 6 = 5x - 20

add 20 to both sides: 3x + 26 = 5x

subtract 3x from both sides: 26 = 2x

divide both sides by two: 13 = x

Answer:

x=13

Step-by-step explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

Answer:

1.5 meters

Step-by-step explanation:

If she is already below sea level by 1 meter and she goes down .5 meters more, she would be 1.5 meters below the sea level.

Answer: 1

Step-by-step explanation:

First you need to multiply 3 x 3 (9), because that's all 3 squared means.

Now the equation should be 9x-6x+3=0

Next we need to combine like terms. Do 9x - 6x which should give you 3x

Now your equations should be 3x+3=0

Now for the somewhat harder part...

Under the three (the one without the x) write -3 and under the zero write the same thing.  the +3-3 cancels out so just put a line or something across it.

0-3= -3

so now you should have...

3x=-3    ignore the 3x, at this point it's useless in getting the answer because it would cancel out.

-3 divided by -3  is 1 because a negative (-)  divided by a negative (-) equals a positive (+).

The answer should be  x = 1

Answer:

either a full cup or 1 1/2

Answer:

13 ml per hr

Step-by-step explanation:

1/5mi=1/65hr

65/5mi=hr

13mi hr

The bicyclist rides 13 miles per hour

I HOPE THIS WORKS FOR YOU!

Answer:

(1/13)(mile/hour)

Step-by-step explanation:

Simplify this rate of change:

 ⅕ mile               1 mile

----------------  =  --------------- = (1/13)(mile/hour)

(1/65) hour         (65/5) hr

Answer:

226

Step-by-step explanation:

Answer: what grade is this

Step-by-step explanation: