Jonah bought a 1.5 liter bottle of seltzer. He used 0.8 liter of seltzer in some punch. Which is greater, the amount he used or the amount he has left? Explain how you decided.

answer: 16

step by step explanation:

The total number of marbles = 32 marbles.

We have ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5. After that, two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.

We have to find out how many marbles are there in total.

Yes, a:b equals to [tex]\frac{a}{b}[/tex] - where ' a ' is called Antecedent and ' b ' is called Consequent.

Let the total number of marbles be x.

Let the number of marbles in the red bag be ' x ' and in blue bag ' y '.

According to question -

[tex]\frac{x}{y} =\frac{3}{5}[/tex]

5x = 3y

x = [tex]\frac{3y}{5}[/tex]

After the two marbles are moved from blue bag are moved into the red bag, then -

[tex]\frac{x+2}{y-2} =\frac{7}{9}[/tex]

9(x + 2) = 7(y - 2)

9x + 18 = 7y - 14

9x - 7y = -32

9 ([tex]\frac{3y}{5}[/tex]) - 7y = -32

[tex]\frac{27y}{5} - 7y =-32[/tex]

[tex]\frac{-8y}{5}=-32[/tex]

-8y = -32 x 5

y = 4 x 5

y = 20

Therefore -

x = [tex]\frac{3\times20}{5}[/tex] = 12

Hence, the total number of marbles = x + y = 20 + 12 = 32 marbles.

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Answer:

-0,15

Step-by-step explanation:

I think that's it, I'll give an explanation in the comments in a sec

Answer:

–2k3 – 3k2 – 1.3k

Step-by-step explanation:

Hope this helped, Have an amazing day!!

Answer:

its C (what the guy said above)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We want to find the height between the helicopter and the submarine

let us use the water as reference

therefore the given information

helicopter= 100 feet about sea level.

submarine = 250 feet below the sea level.

Therefore the distance between the helicopter and the submarine is given as

=100+250

=350feet

Answer:

Position s(t) = -16t² + 1250 ft

Step-by-step explanation:

Given that:

initial height h₀ = 1250 feet

and suppose the position  function is given as:

-16t² + v₀t + h₀

here;

v₀ = initial velocity

t = time

Thus, the position formula can be expressed as:

Position s(t) = -16t² + 1250 ft because v₀ = 0 ft/s and h₀ = 1250 feet

Answer:

4/10 x 10 = 40/100

Step-by-step explanation:

I have done this one before.

I hope this helps!

Answer:

4/10 x 10 = 40/100

Step-by-step explanation:

I had  queation today

Answer:

Step-by-step explanation:

a). This graph represents a function with square root of x,

    f(x) = [tex]\sqrt{x}[/tex]

b). This graph represents the reciprocal squared function with asymptotes as,

    Vertical asymptote x = 0

    Horizontal asymptote y = 0

    f(x) = [tex]\frac{1}{x^2}[/tex]

c). This graph represents a linear function (Straight line),

    f(x) = x

d). This graph represents the cubic function,

    f(x) = x³

Answer:

Step-by-step explanation:

1 x square rooted

2 1/x^2

3 x

4 x^2

The number of hours that Sam spends walking is 1 hour. And the number of hours that Sam spends biking is 2 hours.

We know that the speed formula

Speed = Distance/Time

Let 'x' and 'y' be the time when he walks and when he biking. Then the equations are given as,

x + y = 3                    ...1

4x + 12y = 20           ...2

From equations 1 and 2, then we have

4(3 - y) + 12y = 20

12 - 4y + 12y = 20

8y =  8

y = 1 hour

The value of 'x' is calculated as,

x + 1 = 3

x = 2 hours

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Step-by-step explanation:

Given data

cost of 12 bottle = $9

How many bottle can $3 buy.

Given that $9 can buy 12 bottles

therefore $3 would by x bottles

cross multiply we have

9x=12*3

9x=36

divide both sides be 9

x=36/9

x=4 bottles

The cost per bottle is

9/12= $3/4

= $0.75 per bottle

if one bottle cost $0.75

the 7 bottles will cost =0.75*7

=$5.25

Answer:

4

Step-by-step expl

Since 12 bottles cost $9 then by doing

12/3=X

X=4

=$4

Answer:

[tex](a + 1) ^{2} + 1[/tex]

[tex]a ^{2} + 2a + 2[/tex]

Answer: The distance between 15 yards to 18 yards is 3 yards.

Step-by-step explanation:

Answer:

(x+1)²

(m-n)²

Step-by-step explanation:

Answer:

350 6th grade students

Step-by-step explanation:

From the question

At a school, 60% of the sixth-grade students said that hip-hop is their favorite kind of music.

Total number of sixth graders that love hip-hop = 210

Let the total number of students in the school be represented as: x

Hence,

60% × x = 210

60/100 × x = 210

Cross Multiply

60x = 210 × 100

x = 210× 100/60

x = 350 students.

Therefore, the total number of sixth graders is 350 .

Answer:

A

Step-by-step explanation:

A function cannot have 2 points on the same x point, and so every coordinate on A's set is different (-1, 2, 8, 10)

Answer:

Next to 6 is 9, next to 15 is 27, and next to 3 is 5

Step-by-step explanation:

If you imagine 6 photos for every 2 minutes as a fraction and simplify it, the answer to this would be 3 photos for every 1 minute (basically 3/1). By using this unit fraction, you'll see that you're supposed multiply the amount of minutes by 3, or you can divide the # of photos by 3.

For 3 mins, you multiply that by 3 to get 9 photos.

For 9 mins, you multiply that by 3 to get 27 photos

For 15 photos, you divide that by 3 to get 5 photos.

Ok, have a Spooky Halloween!

Step-by-step explanation:

23x - 15x = x - 1. 23 minus 15 equals 8

8x = x - 1. subtract x on both sides

-x. -x

7x = -1. divide 7 on both sides

7. 7

x = -1/7

Answer:

Raise both sides of the equation to the power of 2

Raise both sides of the equation to the power of 2 again

Simplify to get a quadratic equation.

Use the quadratic formula to find the values of x.

Step-by-step explanation:

The radical equation is expressed as:

[tex]\sqrt{x+3} - \sqrt{2x-1} = -2[/tex]

The following steps are to be followed to calculate x:

Step 1: Raise both sides of the equation to the power of 2.

[tex](\sqrt{x+3} - \sqrt{2x-1})^2 = (-2)^2\\x+3 - 2\sqrt{x+3}\sqrt{2x-1}+(2x-1) = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+x+3+2x-1 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+3x+2 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1} +3x-2 = 0\\[/tex]

Step 2: Raise both sides of the equation to the power of 2 again

[tex](-2\sqrt{x+3}\sqrt{2x-1})^2 = (2-3x)^2\\4(x+3)(2x-1) = (2-3x)^2\\[/tex]

Step 3: Simplify to get a quadratic equation.

[tex]\\4(2x^2-x+6x-3) = 4-12x+9x^2\\4(2x^2+5x-3) = 4-12x+9x^2\\8x^2+20x-12 = 4-12x+9x^2\\x^2-32x+16 = 0[/tex]

Step 4: Use the quadratic formula to find the values of x.

x = 32±√32²-4(16)/2

Answer:

A =37

Step-by-step explanation:

Because you should just do the 32 + 5 since it is equal to A therefore, whatever the answer is should be what A is equal to. So: 30 + 2 + 5 = 37.

Answer:

you can make 1/3 glass of lemonade but if you are saying it without fractions its zero

Step-by-step explanation:

4 times 3 is 12 so if you just have 4 cups than thats 1/3 of a cup

Answer:

green line:

rise= -6

run= 3

rise/run = slope

therofore the slope = -6/3 = -2

blue line:

rise=3

run=6

rise/run = slope

therofore the slope = 3/6 = 1/2

Answer:

- 2 and [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (0, - 1) ← 2 points on the green line

m = [tex]\frac{-1-5}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

Repeat with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the blue line

m = [tex]\frac{0+3}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Since the product of the slopes = - 2 × [tex]\frac{1}{2}[/tex] = - 1

Then the lines are perpendicular

Answer:

4$ off every time because if you take 6×11 you get 66 from the total without anything off and then subtract 66-46 and you get 20 so you take 20÷ 5 because 1 round was his first and there was no discount on the first round so your answer is 4$ everytime

Answer:

f(t)=(2)/(3)*\cos (4t-3\pi )

Step-by-step explanation:

Because :D

Answer:

f(t) = 2/3 sin (1/3t - 2pi/3) - 2

Step-by-step explanation:

Answer:In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

Step-by-step explanation:

The slopes of two parallel lines are always equal.

The slope of a line can be calculated by taking the tangent ratio of the angle formed by it with the x axis.

The angle between two parallel lines is zero.

It implies that they form same angle with the x-axis.

Since, the slope of a line is define as the tangent of the angle made by it with x axis.

The slopes of the parallel lines will be equal.

Suppose the slopes of two parallel lines are m₁ and m₂.

Then, it can be written as m₁ = m₂.

Hence, the relationship between the slopes of two parallel lines can be written as m₁ = m₂.

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Answer:

not factorable

Step-by-step explanation:

To factor a trinomial of the type x^2 + ax + b, you need to find two numbers that add to a and multiply to b.

You have 1x^2 + 9x + 2.

In this case, a = 9 and b = 2.

There are no two integers whose sum is 9 and whose product is 2, so this trinomial is not factorable.

Answer:

c

Step-by-step explanation:

took the test

D

2x – 3

× x + 4

2x × x = 2x²

-3 × 4 = -12

Using the knowledge of the total sum of the internal angles of a triangle, the value of x would be 25

Recall :

Hence,

(x + 15) + (3x - 35) + 4x = 180

x + 15 + 3x - 35 + 4x = 180

8x - 20 = 180

8x = 180 + 20

8x = 200

x = 200 / 8

x = 25°

Therefore, the value of x is 25

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Answer:

x=28

Step-by-step explanation:

4/28=k so 1/7=k