All categories

3 years ago

What number should be added to 7/12 to get 4/15?

Mathematics

1 answer:

DENIUS [597]3 years ago

6 0

Answer:

Step-by-step explanation:

Let the number = x.

We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

$\frac{7}{12} + x = \frac{4}{15}$

Subtract 7/12 from both sides.

$x = \frac{4}{15} - \frac{7}{12}$

We need to make the denominators of the fractions the same.

$\frac{4}{15} = \frac{16}{60}$

$\frac{7}{12} = \frac{35}{60}$

So,

$x = \frac{16}{60} - \frac{35}{60} = - \frac{19}{60}$

You might be interested in

Which equation is a linear function?

Sonja [21]

Answer:

the equation in letter D is a linear function.

6 0

3 years ago

When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

zloy xaker [14]

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening $=\frac{75}{4} =18\tfrac{3}{4}$ cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs $\frac{2}{3}$ cups of shortening for $2\tfrac{1}{2}=\frac{5}{2}$ cups of flour.

Now we assume that the shortening needed for $x$ cups of flour is $y$ cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

$\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}$

Plugging the value of $y=5$ as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with $5$ .

Number of cups of flour needed when $5$ cups of shortenings are used $(x) =\frac{x}{y} =\frac{5/2}{2/3}$ .

So, $(x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}$

The amount of floor Mrs.Stewart needed for $5$ cups of shortening $= 18\tfrac{3}{4}\$ cups of floor.

3 0

3 years ago

Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge

sammy [17]

Answer:

$7.62 per hour

Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

$F=P(1+r)^t$

Where,

F is the future value (what we want to find)
P is the present rate ($6.5)
r is the rate of growth, in decimal (2% growth means 0.02)
t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

$F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62$

Thus, after 2 years, Heather's hourly rate will be $7.62

7 0

3 years ago

Find the area of the shaded region.<br>pls do this with explanation.<br>

vladimir1956 [14]

Answer:

first find the area of the big rectangle = 12×14=168

area of the small unshaded rectangle =2×5×6=60

area of the shaded region = 168-60=108

6 0

3 years ago

Read 2 more answers

What’s does 7 correspond to . please help .

Whitepunk [10]

$\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}$

A. 21

Thanks
Hope it helps.

7 0

2 years ago

What number should be added to 7/12 to get 4/15?​

What number should be added to 7/12 to get 4/15?