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posledela
3 years ago
8

1 13/15 divided 1 2/5

Mathematics
2 answers:
creativ13 [48]3 years ago
6 0

Answer:

\frac{4}{3}

Step-by-step explanation:

In order to find the answer to this question you need to convert the mixed numbers into improper fractions and then multiply using KCF. (Keep, Change, Flip)

1\frac{13}{15} \div1\frac{2}{5}

Convert into improper fractions:

1\frac{13}{15} =15\times1+13=\frac{28}{15}

1\frac{2}{5} =5\times1=5+2=\frac{7}{5}

\frac{28}{15} \div\frac{7}{5}

Use KCF:

\frac{28}{15} \times\frac{5}{7}

Solve:

28\times5=140

15\times7=105

=\frac{140}{105}

Simplify:

140\div5=28

105\div5=21

=\frac{28}{21}

\frac{4}{3}

Hope this helps.

Sergeeva-Olga [200]3 years ago
4 0

1+13/15÷1+2/5

= 28/15÷7/5

= 28/15×5/7

= 4/3

The answer is 4/3.

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Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)
Law Incorporation [45]

Answer:

Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}

Direction of the sum of the vectors:

\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\

3 0
3 years ago
Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)
Savatey [412]

For this case we must factor the following expression:

x ^ 2-7x-10

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}

Where:

a = 1\\b = -7\\c = -10

We replace:

x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}

So, the roots are:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

Answer:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

6 0
3 years ago
Y’all I need a lot of help please help me and please show work
Nadya [2.5K]

Answer:

90

Step-by-step explanation:

no of total groups = 2+6+4=12

so in total there are 12 groups

each have equal number of members

so the answer is the number that is not a factor of 12

i hope this help you

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so don't know about the steps

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4 0
3 years ago
Monthly earnings total $4513. Find the social security tax deducted.
levacccp [35]
<span>The monthly earning is = 4513 dollars.
Find the security tax.
in US, 3% is the security tax.
3% = 3% / 100 = 0.03
NOw, let's solve with this given digits.
=> 4513 * .03 = 135.39
=> 135.39
Therefore the tax deducted to your salary is 135.39 dollars per month.


</span>
4 0
3 years ago
4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST
mars1129 [50]

Answer: 1/2

Step-by-step explanation:4

4

×  

1

2

=  

1

2

Result in decimals: 0.5

Calculation steps:

4

4

×  

1

2

=  

4 × 1

4 × 2

=  

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

Further explanation

For the problem:

4

4

×  

1

2

= ?

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

4 × 1

4 × 2

=  

4

8

The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

The result is:

4

4

×  

1

2

=  

1

2

8 0
3 years ago
Read 2 more answers
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