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SVETLANKA909090 [29]
2 years ago
11

Toni had 5 1/2 kilograms of sugar.how many cakes can he bake if he ise 1/4 hilogram of sugar per cake?

Mathematics
2 answers:
Elena L [17]2 years ago
6 0

Answer:

He can makec 22 cakes

Step-by-step explanation:

He use,

\frac{1}{4} kg  = 1 \:  \: cake \\

Let's find how many caked will he make from 5 1/2kg

Let the unknown number of cakes be x

\frac{1}{4}  = 1 \\ 5 \frac{1}{2}  = x

\frac{1x}{4}  = 5 \frac{1}{2}  \\  \frac{1}{4} x =  \frac{11}{2}

Use cross multiplication

2 \times 1x = 11 \times 4 \\ 2 x= 44 \\  \frac{2x}{2}  =  \frac{44}{2}  \\ x = 22

Hope this helps you

Let me know if you have any other questions :-):-)

allochka39001 [22]2 years ago
4 0

Answer:

22 cakes

Step-by-step explanation:

5 1/2kg = 11/2 = 22/4

22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes

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Which statements are truth about exponential decay and functions ? Check all that apply
Alex787 [66]

there is not enough information

8 0
2 years ago
What is the volume of a sphere with a diameter of 10 m, rounded to the nearest tenth of a cubic meter
kirill [66]

Answer:

4188.8 cm^3

Step-by-step explanation:

We can calculate the volume of a sphere by using the following equation:

\frac{4}{3}\pi  r^{3}

(r=radius)

so let's just plug in what we know

4/3(pi)(10)^3

we can calculate this with a calculator to get 4188.8 cm^3.

4 0
2 years ago
The equation below represents Function A and the graph represents Function B:
polet [3.4K]

Answer:

  Slope of Function B = 2 x Slope of Function A.

Step-by-step explanation:

The graph of Function B shows its slope to be 4 units up for 1 unit to the right, so 4.

The equation for Function A shows its slope to be the coefficient of x, so 2.

___

4 is 2 times 2, so ...

  the slope of Function B is 2 times the slope of Function A.

6 0
3 years ago
Read 2 more answers
Please help i need help geometry is very hard for me i am dumb
stiks02 [169]

Answer:

G.  ABD = 74

H.  DBC = 206

I.  XYW = 33.75

J.  WYZ = 46.25

Step-by-step explanation:

For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC).  A straight line has an angle of 180 degrees.  This means that the two angles from the straight line when combined will give you 180 degrees.  Solve for x.

ABD + DBC = ABC

(1/2x + 20) + (2x - 10) = 180

1/2x + 20 + 2x - 10 = 180

5/2x + 10 = 180

5/2x = 170

x = 108

Now that you have x, you can solve for each angle.

ABD = 1/2x + 20

ABD = 1/2(108) + 20

ABD = 54 + 20

ABD = 74

DBC = 2x - 10

DBC = 2(108) - 10

DBC = 216 - 10

DBC = 206

For I and J:  For these problems, you use the same concept as before.  You have a right angle (XYZ) that has within it two other angles (XYW and WYZ).  A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle.  Solve for x.

XYW + WYZ = XYZ

(1 1/4x - 10) + (3/4x + 20) = 90

1 1/4x - 10 + 3/4x + 20 = 90

2x + 20 = 90

2x = 70

x = 35

Plug x into the angle values and solve.

XYW = 1 1/4x - 10

XYW = 1 1/4(35) - 10

XYW = 43.75 - 10

XYW = 33.75

WYZ = 3/4x + 20

WYZ = 3/4(35) + 20

WYZ = 26.25 + 20

WYZ = 46.25

3 0
3 years ago
Find the doubling time of an investment earning 7% interest if interest is compounded continuously
Alex

Answer:

The doubling time of this investment would be 9.9 years.

Step-by-step explanation:

The appropriate equation for this compound interest is

A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.

If P doubles, then A = 2P

Thus, 2P = Pe^(0.07t)

Dividing both sides by P results in 2 = e^(0.07t)

Take the natural log of both sides:  ln 2 = 0.07t.

Then t = elapsed time = ln 2

                                       --------- = 0.69315/0.07 = 9.9

                                         0.07

The doubling time of this investment would be 9.9 years.

5 0
3 years ago
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