All categories

2 years ago

6 students want lemonade and 12 students

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

5 0

Answer:

2:1

Step-by-step explanation:

well we show ratio by the sign ' : '

ratio of iced tea to lemonade= 12:6

now we reduce it to minimum by dividing it with same number.

12 is divisible by 6

so,

the reduced form is = 2:1

therefore,

ratio of the number of students who want iced tea to the number of students who want lemonade = 2:1.

You might be interested in

Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical va

butalik [34]

$\dfrac{x^4-2x^3+x^2+3x-2}{x^2-2x+1}$

The degree of the numerator exceeds the degree of the denominator, so first you have to divide:

$x^2+\dfrac{3x-2}{x^2-2x+1}$

Now, $x^2-2x+1=(x-1)^2$ , so the remainder term can be expanded to get

$\boxed{x^2+\dfrac a{x-1}+\dfrac b{(x-1)^2}}$

5 0

3 years ago

AJ worked 48 hours last week. He earns $12.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours.

Romashka [77]

The answer is 595.20 because 12.40 x 48 = 595.20

3 0

2 years ago

Read 2 more answers

Circle O is centered at (5,−15) and point A(2,−14) lies on ⨀O.

givi [52]

Answer:

(5−6)2+(−15+12)2=(5−2)2+(−15+14)2

Step-by-step explanation:

Circle equation is : (x -h)^2 + (y - k)^2 = r^2

center (h, k) = (5, -15)

r = Distance from (5, -15) to point A (2, -14)

r = root ( (5 - 2)^2 + (-15 - (-14))^2 )

r = root ( 3^2 + 1^2)

r = root(10)

Equation is (x - 5)^2 + (y + 15)^2 = 10

Check point P(6, -12)

(6 - 5)^2 + ( (-12) + 15 )^2 check if this equals 10

1^2 + 3^2 = 1 + 9 = 10, 10 = 10 good

It is the same as using the equation:

(5−6)2+(−15+12)2=(5−2)2+(−15+14)2

6 0

3 years ago

Help with Another Pre Calculus Question

swat32

The last equation h(x) = 2x+4/x+1.

<h3>What is a graph?</h3>

The pictorial representation of quantities and how the increase or decrease in one affects the other.

Analysis:

The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.

gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.

The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1

differentiating the equation by quotient rule,

u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1

dy/dx = $\frac{(x+1)(2) - (2x+4)(1)}{(x+1)^{2} }$ = $\frac{-2}{(x+1)^{2} }$

When x = -2, dy/dx = -2

In conclusion, 2x+4/x+1 is the equation for the curve above.

Learn more about parabolic curves: brainly.com/question/12896871

#SPJ1

8 0

1 year ago

List the independent and dependent variables for each situation:

natulia [17]

Part (a)

Independent variable = age
Dependent variable = height

"depends on age" indicates that age is independent.

-----------------------------------
Part (b)

Independent variable = amount of sleep
Dependent variable = mood

The key word is "determines". The stuff before this word is the independent variable which affects the dependent variable.
-----------------------------------
Part (c)

Independent variable = time water has been running
dependent variable = amount of water in the tub

Time is usually the independent variable
-----------------------------------
Part (d)

Independent variable = speed
dependent variable = distance from home

-----------------------------------
Part (e)

Independent variable = amount of homework done
dependent variable = speed

This seems like an odd pairing of homework and speed. Could there be a typo? I noticed that part (f) is very similar

-----------------------------------
Part (f)

Independent variable = amount of hw that is assigned
dependent variable = amount of homework done

Like with part (a), the stuff before "depends" is the dependent variable

4 0

3 years ago