All categories

3 years ago

Help me with this plz!,

Mathematics

1 answer:

Pie3 years ago

4 0

Answer:

$\frac{12}{27}$ Simplified version

Step-by-step explanation:

$(\frac{4}{5} + \frac{1}{3})$ × $\frac{5}{9}$

The first step would be to add together what is in the parenthesis. Make sure that both fractions have the same denominator. In this problem they don't, so we have to find the least common number that they both have. The number here would be 15. 5 × 3 = 15 and vise versa.

$((\frac{4}{5} x \frac{3}{3}) + (\frac{1}{3} x \frac{5}{5}))$ × $\frac{5}{9}$

$(\frac{12}{15} + \frac{5}{15})$ × $\frac{5}{9}$

$(\frac{17}{15}$ × $\frac{5}{9}$ Multiply straight across (denominators do NOT need to be the same)

$\frac{85}{135} = \frac{12}{27}$

You might be interested in

How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?

erastovalidia [21]

Find total number of integers.

$a_1=10,a_n=60,d=1 \\a_n=a_1+(n-1)d \\60=10+(n-1)1 \\n-1=50 \\n=51$

Find how many integers is divisible by 2.

$a_1=10,a_n=60,d=2
\\a_n=a_1+(n-1)d
\\60=10+(n-1)2
\\2(n-1)=50
\\n-1=25
\\n=26$

Eliminate even numbers.

11, 13, 15,..., 57, 59

This array contains 51 - 26 = 25 numbers.

Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.

15, 17, 19,..., 55, 57

This array contains 25 - 3 = 22 numbers.

Now we should eliminate numbers divisible by 3: 15, 21, 27...

$a_1=15,a_n=57,d=6,n=?
\\a_n=a_1+(n-1)d
\\57=15+(n-1)6
\\6(n-1)=42
\\n-1=7
\\n=8$

There are 8 such numbers.

Therefore, there are 25 - 8 = 17 numbers that can be evenly divided by neither 2 nor 3

6 0

3 years ago

Write the power set of the set A={a,b,c}

Burka [1]

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

$2^n$ ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

$2^3=8$

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

8 0

3 years ago

Solve the slope…. pls

Zielflug [23.3K]

Answer:

slope = 5/7

Step-by-step explanation:

Given the x-intercept: (-7, 0) and the y-intecept: (0, 5):

We can use the slope formula:

$m = \frac{y2 - y1}{x2 - x1}$

Let (x1, y1) = (-7, 0)

(x2, y2) = (0, 5)

Plug these values into the slope formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{5 - 0}{0 - (-7)} = \frac{5}{7}$

Therefore, the slope is 5/7

4 0

2 years ago

Guys help plz and I will give brainliest

rewona [7]

Answer:

add 12 for all sides I think

Step-by-step explanation:

but if 12 yd is on both sides you must add 12+12 and the after getting the answer add then with 12+12

4 0

3 years ago

In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest 10th of an inch.

DENIUS [597]

Answer:

g ≈ 34.7 in

Step-by-step explanation:

The law of sines is useful for this:

f/sin(F) = g/sin(G)

Multiplying by sin(G), we have ...

g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)

g ≈ 34.7 in

7 0

2 years ago