All categories

2 years ago

Simplify. 5/4 x 6/12 + 6/5

1 answer:

6 0

PEMDAS
5/4*6/12=30/48=5/8
then find a common denominator between 5/8 and 6/5. (8*5=40)
5/8 * 5/5=25/40 and 6/5 * 8/8=48/40
so 25/40 + 48/40 = 73/40
Which isn't able to be simplified... Have you typed the numbers in correctly?

You might be interested in

Using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)? <br>whats (f of g)(5)?

3241004551 [841]

Answer:

f(g(x)) = 722, and g(f(x)) = 154

Step-by-step explanation:

f(x) = 2x²

g(x) = 3x + 4

g(f(x)) = 3(2x²) + 4

g(f(5)) = 3(2 × 5²) + 4

g(f(5)) = 3(2 × 25) + 4

g(f(5)) = 3 × 50 + 4

g(f(5)) = 154

f(g(x)) = 2(3x + 4)²

f(g(5)) = 2(3 × 5 + 4)²

f(g(5)) = 2 × 19²

f(g(5)) = 2 × 361

f(g(5)) = 722

7 0

3 years ago

Zubin drew a circle with right triangle PRQ inscribed in it, as shown below: The figure shows a circle with points P, Q, and R o

iris [78.8K]

The measure of angle PQR when Zubin drew a circle with right triangle will be 65°.

<h3>How to find the measure of the angle?</h3>

From the information given, when Zubin drew a circle with right triangle, arc QR measures 50 degrees.

Therefore, the measure of angle PQR will be:

= 180° - 90° - (1/2 × 50°)

= 180° - 90° - 25°

= 65°

In conclusion, the angle is 65°.

Learn more about circle on:

brainly.com/question/24375372

7 0

2 years ago

An amount of $15,000 is invested in a fund that has a return of

IrinaVladis [17]

Answer:

$12000 should be invested in a fund with a 4% return.

Step-by-step explanation:

Consider the provided information.

An amount of $15,000 is invested in a fund that has a return of 6%.

We need to calculate how much money is invested in a fund with a 4% return if the total return on both investments is $1380.

Let $x should be invested in a fund with a 4% return.

The above information can be written as:

$1380=15000\times 6\%+x\times 4\%$

$1380=15000\times \frac{6}{100}+x\times \frac{4}{100}$

$1380=150\times6+x\times 0.04$

$1380-900=0.04x\\480=0.04x\\x=12000$

Hence, $12000 should be invested in a fund with a 4% return.

6 0

3 years ago

There are 3 times as many boys as girls. If there are 24 more boys than girls, how many children are there?

Ludmilka [50]

Answer:

There are 48 children.

Step-by-step explanation:

Given :There are 3 times as many boys as girls.

There are 24 more boys than girls,

To Find : how many children are there?

Solution:

Let the number of girls be x

Now we are given that there are 3 times as many boys as girls.

So, no. of boys = 3x

Now we are given that there are 24 more boys than girls.

So, $3x-x=24$

$2x=24$

$x=12$

So, no. of girls = 12

No. of boys = 3x = 3(12) = 36

Now the total no. of children = 12+36 = 48

Hence there are 48 children.

6 0

2 years ago

If a car can travel 220 miles on 12 gallons of gas, how many gallons

vampirchik [111]

Set up a ratio of known to unknown:

Let X = the amount of gas needed for 500 miles:

220/12 = 500/x

Cross multiply:

220x = 6000

Divide both sides by 220:

X = 6000 / 220

x = 27.27 gallons (round answer as needed).

4 0

2 years ago