Mrs. Duncan pours
8.4 liters of punch
into 3 serving
bowls. If she
poured an equal
amount of punch
into each bowl,
how many liters of
punch are in each
bowl?

Answer:

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]

Answer:

14d + 12c -4

Step-by-step explanation:

Answer:agree.

Step-by-step explanation:

Answer:

its 2 and 12

just basic math lol

Answer:

2 and 12

Step-by-step explanation:

2x12=24

2+12=14

Answer:

=−4.2f−36

Step-by-step explanation:

combine like terms

Answer:

7x + 11x = 90

Step-by-step explanation:

Khan academy

Answer:

1:6

Step-by-step explanation:

5:30 simplified is 1:6

Answer:

5:30 Simplified: 1:6

Step-by-step explanation:

Hope this helps, and don't forget to follow!

Answer:

15/7

Step-by-step explanation:

Answer:

15/7

Step-by-step explanation:

(-5/7)/(-1/3)=(-5/7)(-3/1)=15/7

Answer:

YesUs

Step-by-step explanation:

the vertical LIne test. The lines intercept, so it is not a function.

Answer: y= x-2

Step-by-step explanation:

Perpendicularity entails the slope of line a is -1 divided by the slope of line b

m1= (-1/m2)

From y=Mx +c

We compare with x-4y=7

y=(1/4)x-7/4

Meaning m2= 1/4

m1= -1/(1/4)= -1*4= -4

((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1

x1= 2, y1= -4

((y-(-4))/(x-2))= -4

((y+4)/(x-2))= -4

Cross multiply

y+4= -4(x-2)

y= x-2

Answer:

C. (x, x2 − 3x − 28) for all real numbers

Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.

⇒f(x) = x² − 3x − 28

Solving equation:

⇒f(x) = x² − 3x − 28

⇒f(x) = x² − (7−4)x − 28

⇒f(x) = x² − 7x+4x − 28

⇒f(x) = x(x −7) +4(x −7)

⇒f(x) = (x −7) (x+4)

Please find the attached file.

Find out more about the graph function here:

brainly.com/question/15165011

Answer:

50%

Step-by-step explanation:

Answer:

1. y ≥ 100

2. y ≤ 300

3. y ≥ 20000

4. 2y ≥ 80

5. 2y ≤ 90

Step-by-step explanation:

Let y be the variable.

1. The discount is not less than 100.

If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.

This can be written as:

y ≥ 100

2. The cost of the book is at most 300.

This implies that the cost of the book (i.e y) is either 300 or lesser.

This can be written as:

y ≤ 300

3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.

This can be written as:

y ≥ 20000

4. Twice the number is at least 80.

Let the number be y.

Twice the number y can be written as:

2y

But twice the number is at least 80.

This means that twice the number is 80 or greater than 80. This can be written as:

2y ≥ 80

5. Twice the measure of the acute angle is not more than 90 degree.

Let the angle be y.

Twice the angle can be written as:

2y

But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:

2y ≤ 90

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

Answer:

mixed number form: 9 1/3

decimal form: 9.3 (repeating)

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

2 1/3 ÷ 1/4

change mixed fraction tom improper fraction - 2x3+1 = 7/3

change divide sign to multiply and reciprocate 1/4 to 4/1

multiply fractions- 7/3 x 4/1

                             7x4/ 3x 1

                              28/3

                                 9.33

9514 1404 393

Answer:

  x = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.

  17x + 50 = 19x + 8

  42 = 2x . . . . . . . . . . subtract 8+17x

  21 = x . . . . . . . . . . .  divide by 2

Answer:

3/4

Step-by-step explanation:

4(3n-7)=-19

3n-7=-19/4

3n=-19/4+7

3n=-19/4+28/4

3n=9/4

n=(9/4)/3

n=(9/4)(1/3)

n=9/12

simplify

n=3/4

Answer:

3/4

You would have to divide both sides by 4

Step-by-step explanation:

[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )

[tex]3n-7= -\frac{19}{4}[/tex]  ( simplify )

[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )

[tex]3n=\frac{9}{4}[/tex]  ( simplify )

[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex]  ( divide both sides by 3 )

[tex]n=\frac{3}{4}[/tex]

Answer:

Sorry, you didn't attach an image.

Step-by-step explanation:

Good luck with your test!

Answer:

504

step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

504

Answer:

24

Step-by-step explanation:

1/2bh

Answer: 5 could be a solution to x because 5 is less than 5.001

Step-by-step explanation:

Answer:

i do not know

Step-by-step explanation:

Answer:

(D)

Step-by-step explanation:

I dont know tis for sure and so i hope im right :)

Answer: multiply

Step-by-step explanation:

Answer:

1.2775928e+15

Step-by-step explanation:

mhmm

Answer:

Amaia walked 28 meters

Step-by-step explanation:

So first we know that the side x+3 is equal to the side 3x+1

subtract 1 and x from both sides to get x=1

then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.

plug in 1 to one of the original equations to get 4

4+4+10+10=28

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

==========================================================

Explanation:

For each row, divide the earnings over the sales.

All of these decimal values have the following conversions to percentages

If we add up those percentages and divide by 4, we get the average percentage

(3.27+2.85+3.08+2.90)/4 = 3.025

So the average percentage of these four is 3.025%

So for instance, if you made $1000 in sales, then 0.0325*1000 = 32.50 would be the estimated earnings.

A good estimate in my opinion is the equation c = 0.0325d since 3.025% converts to the decimal form 0.0325

Another method you could use is linear regression to help estimate. Though this method is a lot more complicated involving many more steps. It's better to use technology (eg: graphing calculator) if you go this route. The linear regression line is approximately y = 0.02896x + 2.00732; we can see the slope 0.02896 isn't too far off from 0.0325. Other forms of regression are possible as well.

Answer:

b. i think

Step-by-step explanation:

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4