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3 years ago

You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use.

Mathematics

2 answers:

GuDViN [60]3 years ago

4 0

Yes, it is proportional.

DIA [1.3K]3 years ago

4 0

Answer:

The amount of sugar you need is proportional to the amount of lemonade mix you use.

Step-by-step explanation:

Cups of sugar Packets of lemonade mix

1/3 1

1 3

3 9

Ratio of packets of lemonade mix to cups of sugar in all cases is 3.

That is

$\frac{1}{\frac{1}{3}}=\frac{3}{1}=\frac{9}{3}=3$

Let us take packets of lemonade mix as L and cups of sugar as S.

We have

L = 3 S

So the amount of sugar you need is proportional to the amount of lemonade mix you use.

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Can you’ll help me pls

Rasek [7]

Answer:

1. 48 sticks, 49 dots

2. 60 sticks, 61 dots

3. figure 13, 157 dots

Step-by-step explanation:

The pattern increases by 12 sticks each time. The number of dots is equal to the number of lines plus 1. An easy way to figure it out is to multiply the figure number by 12 to find the number of lines and then add one more for the number of dots. To solve 3, divide the number of sticks by 12 to find the figure number, and add one to the number of sticks to get the number of dots.

3 0

2 years ago

M(d)=-0.123x^2+148.83x-21.07<br> When will it reach maximum height of 45000 feet

Setler [38]

Answer: time to reach maximum height = 605

Step-by-step explanation:

The expression that relates height with time is

M(d)=-0.123x^2+148.83x-21.07

Where time = x

d = height

The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.

To find x,

x = -b/2a

Where a= 0.123

b = 148.83

x = - 148.83 / -2 × -0.123

x = -148.83 / -0.246

= 605

Substituting x = 605 in the equation,

M(d)=-0.123x^2+148.83x-21.07

d = -0.123 × 605^2 + 148.83×605

= - 45021.075+ 90042.15

= 45020.4

Approximately 45000 feet

6 0

3 years ago

If an object is projected upward with an initial velocity of 125 125 ft per sec, its height h after t seconds is h equals negat

dezoksy [38]

For this problem all we need to do is ignore everything except the equation and the input (5.5)

so the steps for this problem are below
we need to plug in 5.5 into our equation as it's our input of time to get our output of height
$t(5.5) = - 16(5.5) {}^{2} + 125(5.5)$
after simplifying you get

remember to square the 5.5 first (order of operations)

$t(5.5) = - 16(30.25) + 687.5$

simplify just a tad more and we get this as the final answer
$t(5.5) = - 484 + 687.5 = 203.5$
$203.5 \: ft$

7 0

4 years ago

Read 2 more answers

Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then sel

borishaifa [10]

Answer:

$Pr = \frac{1}{870}$