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SashulF [63]
3 years ago
7

Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny ea

ts 1/6 of her cake. How much cake is left? please show working thank youu
Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

\frac{7}{12} of the cake

Step-by-step explanation:

add \frac{1}{8} and \frac{1}{6} to see the total amount of cake eaten.

a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24

b. multiply accordingly to get the correct numerator: \frac{3}{24} + \frac{4}{24}

c. add: \frac{3}{24} + \frac{4}{24} = \frac{7}{24}

subtract found value from total to find left over cake.

a. 24 - 7 = 14

simplify.

a. \frac{14}{24} = \frac{7}{12}

You are left with \frac{7}{12} of the cake.

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The scale on a map is 1 in. :25 mi. Your measure 6.5 in. Between two towns. What is the actual distance?
pshichka [43]

Answer:

162.5mi

Step-by-step explanation:

If the scale of the map is 1in:25mi, and you measure 6.5in between two twoms, then the real distance would be 6.5in*25mi = 162.5mi.

6 0
3 years ago
What is the solution to the equation below? Enter the answer in the format p=#, keep your answer as a fraction if necessary. -2/
Scorpion4ik [409]

Let's solve your equation step-by-step.

-2/3p+ 1/6= 7/10

Answer:

p= -4/5

6 0
3 years ago
Suppose you are the manager of a firm. The accounting department has provided cost​ estimates, and the sales department sales​ e
Katarina [22]

Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

C(x)=75x+3,350

where x is the number of produced products.

The revenue function is

R(x)=100x

With both equations, we can know the profit function as

P(x)=R(x)-C(x)

P(x)=100x-75x-3,350=25x-3,350

P(x)=25x-3,350

For the firm to have positive profits, it has to produce x articles with the condition

P(x)>0

Or, equivalently

P(x)=25x-3,350>0

Solving for x

\displaystyle x>\frac{3,350}{25}

Thus

x>134

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production

6 0
3 years ago
Help answer both plz!
Sphinxa [80]

Answer:

3.6666 (I didn't round)

Repeating decimal

Step-by-step explanation:

We know that

2/3

is the same as

2÷3

Therefore:

3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666

A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.

A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.

Hope this helped.

6 0
3 years ago
The dot plot below shows how many laps each student in Coach Toni's gym class ran one day.
Marysya12 [62]
\underbrace{5;5;5;5;10;10;15;15;20;35}_{10}\\\\5\cdot4+10\cdot2+15\cdot2+20+35=125\\\\\frac{125}{10}=12.5\leftarrow\boxed{B}
5 0
3 years ago
Read 2 more answers
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