50 points!

Select the correct answer.

Which equation has an extraneous solution?

Answer:

She should add 18 liters of 30% sugar syrup

Step-by-step explanation:

Let the amount of sugar syrup be x

Mathematically;

30% of x liters + 20% of 12 liters = 26% of (x + 12)

So, we have

0.3x + 2.4 = 0.26x + 3.12

0.3x-0.26x = 3.12-2.4

0.04x = 0.72

x = 0.72/0.04

x = 18

Answer:

Step-by-step explanation:

0.7

Answer:

70 cents per pound

Step-by-step explanation:

17.50 ÷ 25 = .70

.70 × 25 = 17.50

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

Work Shown:

x = preimage length = 12

y = image length = 4

z = scale factor

z = y/x

z = 4/12

z = (1*4)/(3*4)

z = 1/3

The scale factor is 1/3.

This means the image is 1/3 of the length of the preimage.

Answer:

-4 is a real number, but not a whole number.

All non zero numbers are real.

All numbers without a decimal, fraction, or negative are whole numbers.

Step-by-step explanation:

Answer:

Yes -4 is a real number. No, -4 is not a whole number.

Step-by-step explanation:

Real numbers include all positive and negative numbers. A whole number is any number that does not contain a fraction, decimal, or negative value.

Answer:

39

Step-by-step explanation:

Step-by-step explanation:

[tex]39 \: is \: the \: answer[/tex]

Answer:

Sue has 8 marbles

Molly has 8 marbles

Step-by-step explanation:

m = number of marbles Molly has

s =  number of marbles that sue has

m+s =32

m = 3s

Substitute the second equation into the first  equation

3s+s =32

4s = 32

Divide by 4

4s/4 =32/4

s = 8

Sue has 8 marbles

m = 32 = 3*8 = 24

Molly has 8 marbles

Answer:

-2-11n or 10-11n

Step-by-step explanation:

4-n+-10n-6= -2-11n

Hope this helps If this is wrong then this should be the other one only if the top is wrong!!

4-n+-10n+6=10-11n

Answer:

n ≥ 75

Step-by-step explanation:

-81 ≥ -6 -n

+6    +6

-75 ≥ -n

divide both sides by negative 1 to get rid of the negative sign in front of the n

75 ≥ n

flip the sign because you divided by a negative

75 ≤ n

or

n ≥ 75

Hope this helps!!!

Answer:

Add all the functions of f to get the final answer ie option2

Answer: the second one 7k3+9k2-15k+10

Step-by-step explanation: I hope i help with your answer but it Kinda hard

9514 1404 393

Answer:

  a)  5 seconds

Step-by-step explanation:

Usually in such scenarios, we're interested in position and time where h(t) ≥ 0. For the given equation, that is 0 ≤ t ≤ 7.5. Values of t that are negative, and values of t that give h(t) a negative value are generally not of interest.

Then, the choice between a domain of [0, 1] and one of [0, 5] will depend on the reason for using the equation. We expect that the longer of these two domains is likely to be more reasonable:

  5 seconds

Answer:

a.) 5 seconds

Step-by-step explanation:

Answer:

[tex]y = 4x-1[/tex]

Step-by-step explanation:

Required:

Determine the equation of the linear function

First, we need to determine the slope (m) as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (-2,-9)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

Substitute these values in [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{15- (-9)}{4 - (-2)}[/tex]

[tex]m = \frac{24}{6}[/tex]

[tex]m =4[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y -(-9) = 4(x - (-2))[/tex]

[tex]y + 9 = 4(x + 2)[/tex]

[tex]y + 9 = 4x + 8[/tex]

Make y the subject

[tex]y = 4x + 8 - 9[/tex]

[tex]y = 4x-1[/tex]

Answer:

u forgot to add a pic

Step-by-step explanation:

:)

Answer:

Step-by-step explanation: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

Answer:

[tex]\{0,1,2\}[/tex]

Step-by-step explanation:

Given:

[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]

Required

Determine the domain

A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]

Where:

[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation

So, by comparison:

[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain

Answer:

Adjacent Angles

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf Adjacent \ Angles}[/tex]

Step-by-step explanation:

Both the angles are sharing a common leg, so they are adjacent angles.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

she'll use 20 gallons and spend 45.8 dollars

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

4$ is equal to 400 cents, so it would be 400 cents a pound, for every 1 dollar it is the same as 100 cents

Answer:

400

Step-by-step explanation:

Answer:

Step 1:

Hit=9,8

Ball=5,4

R=7,0(This will be the hit point)

Step 2:

(Ball)B'=7+(7-5)4=(9,4)

BR: y-4=(0-4)/(7-5)(x-5)→→→→→→→→→→→→y=-2x+14

RB': y-4=(4-0)/(9-7)(x-9)→→→→→→→→→→→→y=2x-14

The ball will not fell into the hole by it's path.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

We will bet an absolute graph here of the path of the ball.

Starting point is where the ball is located is (5, 4).

The ball hits the wall at (7, 0)

Let's find the equation of the line through these points.

It is of the form y  mx + c, where m is slope and c is y intercept .

m = (0 - 4) / (7 - 5) = -2

⇒ y = -2x + c

Substitute (7, 0) in the above equation,

0 = (-2 × 7) + c

⇒ c = 14

The equation of the line is y = -2x + 14.

Since the graph is absolute, the return path of the ball from the wall must have same slope with opposite sign since the line is upwards.

Equation of the line is of the form,

y = 2x + d

Substitute (7, 0) in the above equation,

0 = (2 × 7) + d

⇒d = -14

Equation is y = 2x - 14

Substitute (9, 8) in the equation to check whether the ball will make the putt.

2x - 14 = (2 × 9) - 14 = 18 - 14 = 4 ≠ 8

Hence the ball does not fall into the hole.

To learn more about Slope, click on the link :

https://brainly.com/question/3605446

#SPJ2

Answer:

the line starts on (0,3) then you go down 7 points then you go 3 to the right that's thew answer

Step-by-step explanation:

Answer: the y axis is 3 and the x axis is 1

Step-by-step explanation:

Answer:

Symmetric Property

Step-by-step explanation:

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:8.76712328...%

Step-by-step explanation:

1.Find the increase in students. 397-365=32

2. Take the ratio and put it into percent. 32/365=x/100

3. Cross multiply. 32 x 100=365x

4.Solve. X=8.76712328...%

It is repeating forever like this.

8.767123287671232876712328

Answer:

fhxhfbccbbn

cfhjhkj

ffuhhoh

Answer:

undefined

Step-by-step explanation:

Since it is a vertical line and there is no run only rise.

Answer:

The Seven Years’ War (1756-1763) was a global conflict that spanned five continents, though it was known in America as the “French and Indian War.” After years of skirmishes between England and France in North America, England officially declared war on France in 1756, setting off what Winston Churchill later called “the first world war.” While the French, British, and Spanish battled over colonies in the New World, Frederick the Great of Prussia faced off against Austria, France, Russia and Sweden. The Seven Year’s War ended with two treaties.

Step-by-step explanation:

Answer: 72

Correct answer to the question: what is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures

'ω'

Answer:

x=11

Step-by-step explanation:

because those angles are = to eachother. Therefore, 66=6x which x =11

Answer:

Multiplication, as you are multiplying each term by 4:

1*4 =4

4*4 = 16

16*4 = 64

Then, you can calculate the next term: 64*4= 256

Answer:

The given pattern can be obtained by a 'multiplication' operation.

Thus, option (C) is correct.

Step-by-step explanation:

Given the pattern

1, 4, 16, 64, ..

From the given pattern, it is clear that every next term can be obtained by multiplying the previous term by 4.

For example, the 2nd term 4 can be obtained by multiplying the previous term by 4.

Similarly, the 3rd term 16 can be obtained by multiplying the previous term (2nd term) by 4.

Also, the 4th term 64 can be obtained by multiplying the previous term (3rd term) by 4.

In a nutshell, the next term (5th term) can be obtained by multiplying the previous term (4th term) by 4.

This indicates that the following pattern can be obtained by a 'multiplication' operation.

Thus, option (C) is correct.