All categories

2 years ago

You're baking a cake with a ratio of 3:4. If you use 2 cups of flour,how many cups of sugar will you use?

Mathematics

1 answer:

Vinil7 [7]2 years ago

5 0

Answer:

2 2/3 cups of sugar

Step-by-step explanation:

If your ratio is 3 flour to 4 sugar, and you use 2 cups of flour, set up your proportion as follows:

$\frac{3}{4}=\frac{2}{x}$

Cross multiply to get 3x = 8 and x = 8/3 which is 2 and 2/3 cups of sugar.

You might be interested in

Write an equation for the graph, where y depends on x.

Over [174]

Answer:

y = -3x + 6

Step-by-step explanation:

Equation of straight line is given by,

y = mx + b

m = slope of the line

b = y-intercept

From the graph attached,

m = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{-6}{2}$

= -3

y intercept 'b' = 6

Therefore, equation of the line will be,

y = -3x + 6

5 0

2 years ago

Li is making beaded necklaces. for each necklace, she uses 25 spacers, plus 9 beads per inch of necklace length. write an equati

yanalaym [24]

Given that Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.

The equation to find how many beads Li needs for each necklace can be obtained as follows:

A. The input variable is the number of inches of the necklace length (x).

B. The output variable is the number of beads Li needs for each necklace (y).

C. The required equation is given by

y = 5x

8 0

2 years ago

The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 25 kg/cm^2 when its vol

Mashcka [7]

$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{\underline{p(v)} varies inversely with \underline{v}}}{p(v)=\cfrac{k}{v}}\qquad \textit{we also know that } \begin{cases} p(v)=25\\ v=200 \end{cases} \\\\\\ 25=\cfrac{k}{200}\implies 5000=k\qquad therefore\qquad \boxed{p(v)=\cfrac{5000}{v}}$

5 0

2 years ago

Solve the equation E = v + Ir for r

iren [92.7K]

Answer:

A. $\text{r} = \frac{\text{E}-\text{v}}{\text{I}}$

Step-by-step explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

$\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}$

7 0

2 years ago

What is the area of this figure?

ale4655 [162]

Answer:

A = 102 cm^2

Step-by-step explanation:

This figure is a trapezoid. The area is given by

A = 1/2 (b1+b2) *h where b1 is the base and b2 is the top

b1 = 21 b2 = (6+7) and h = 6

A = 1/2 (21+13) *6

A = 1/2 (34)*6

A = 102 cm^2

7 0

2 years ago