Ask question

Ask question

All categories

3 years ago

9

a desert has both fruit and yogurt inside altogether the mass of the desert is 185g the ratio of the mass to fruit to the mass o

f yoghurt is 2:3 what is the mass of yoghurt?

2 answers:

Studentka2010 [4]3 years ago

4 0

Fruit : yoghurt : total
2 : 3 : 2 + 3
2 : 3 : 5

5 parts = 185
1 part = 185 ÷ 5 = 37
3 parts = 37 x 3 = 111g

The mass of the yoghurt is 111g

coldgirl [10]3 years ago

3 0

Answer:

The mass of yogurt is $111\ g$

Step-by-step explanation:

we have that

The ratio of the mass of fruit to the mass of yogurt is $2:3$

and

The mass of the desert is $185\ g$

Let

x------> the mass of fruit

y------> the mass of yogurt

(x+y)----> the mass of desert

we know that

$x+y=185$ ------> equation A

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

$x=\frac{2}{3}y$ -----> equation B

Substitute equation B in equation A

$(\frac{2}{3}y)+y=185$

$\frac{5}{3}y=185$

$y=185*3/5=111\ g$

You might be interested in

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

2 years ago

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere

denis-greek [22]

The answers that would fill in the blanks are

2r
a circle
an annulus
1/3πr³
4/3πr³

<h3>What is the Cavalier's principle?</h3>

This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.

Now we have to fill in the blanks with the solution.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle

Read more on Cavalieri's principle here

brainly.com/question/22431955

#SPJ1

5 0

6 months ago

Help!!!!<br>Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.

Alinara [238K]

Answer:

a) 0.356

b) 1.1397

Step-by-step explanation:

a) log₇2

log(2) / log(7)
0.356

b) log₇ (¹⁴⁷/₁₆)

<u>log (¹⁴⁷/₁₆)</u>

log (7)

1.1397

6 0

2 years ago

Given the sequence 12, 9, 6, 3,........ where x = 0, 1, 2......,

Nitella [24]

Answer:

f(x) = -3x + 12

Step-by-step explanation:

The chart could be represented like this:

x y

0 12

1 9

2 6

3 3

Suppose that f(x) = y

And substitute x values.

y = -3x + 12

"x = 0"

y = -3(0) + 12

y = 0 + 12

y = 12

"x = 3"

y = -3(3) + 12

y = -9 + 12

y = 3

From the results, it corresponds to the function.

4 0

3 years ago

Solve the equation for the indicated variable (for c)<br><img src="https://tex.z-dn.net/?f=15%20%3D%20%20-%203%282c%20%2B%20d%29

11Alexandr11 [23.1K]

Answer:

c= -2.5-0.5d

Step-by-step explanation:

15=-3(2c+d)

15=-6c+-3d

15+3d=-6c

-2.5-0.5d=c

5 0

2 years ago