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devlian [24]
3 years ago
8

A cake company makes chocolate and vanilla cakes. The ratio of chocolate cakes to vanilla cakes is 3:4. What is the ratio of the

number of vanilla cakes to the total number of cakes?
A : 4:11
B : 4:7
C : 3:11
D : 3:7​
Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

4:7

Step-by-step explanation:

4:7

they make 7 cakes in total (3:4 = 7).

there are 4 vanilla cakes.

therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.

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Find the angular speed of a turning gear if 12.5 revolutions are completed in 8 seconds.
evablogger [386]
(12.5*2*Pi) / 8 = 3.125*Pi [1/s]
6 0
3 years ago
I would appreciate it if someone could help answer this problem:)
Vesna [10]

Answer:

x = 85°

Step-by-step explanation:

As noticed this is a Pentagon (5 sided polygon); therefore to find x, first we have to find the sum of it's interior angles;

Sum of interior angles of a pentagon = (n - 2) * 180°

=> Sum of interior angles of a pentagon = (5 - 2) * 180°

=> Sum of interior angles of a pentagon = 3 * 180

=> Sum of interior angles of a pentagon = 540

Now that we know the sum of interior angles, we can set up the equation and solve for x;

115 + 95 + 115 + 130 + x = 540

455 + x = 540

x = 540 - 455

x = 85

Hope this helps!

4 0
3 years ago
A storekeeper has two kinds of flour, one selling for 65 cents per pound, and the other selling for 95 cents per pound. How many
Murrr4er [49]

Answer:

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

Step-by-step explanation:

Let

x ----> amount of 65 cents per pound flour to use

y----> amount of 95 cents per pound flour to use

we know that

x+y=100 ----> y=100-x ----> equation A

0.65x+0.95y=0.83(100) ----> equation B

substitute equation A in equation B

0.65x+0.95(100-x)=0.83(100)

Solve for x

0.65x+95-0.95x=83

0.95-0.65x=95-83

0.30x=12

x=40\ lb

Find the value of y

y=100-40=60\ lb

therefore

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

4 0
3 years ago
Read 2 more answers
(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of
dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

\frac{4-0}{-1-2} =\frac{4}{-3}

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

y=\frac{-4}{3} x+b

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

y=\frac{-4}{3} x+\frac{8}{3}

4 0
3 years ago
Read 2 more answers
A car dealership decreased the price of a certain car by 4%. The original price was
serg [7]
%change=100(final-initial)/initial, 

%change=100(New price-Original price)/Original price

(Original price*%change)/100=New price-Original price

New Price=(Original price*%change+100*Original price)/100

New Price=Original price(100+%change)/100

Since %change is -4%...

New Price=0.96(Original price)

...

Since original price is $45400

New Price=0.96(45400)

New Price=$43584


6 0
4 years ago
Read 2 more answers
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