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bezimeni [28]
3 years ago
15

I need help

Mathematics
2 answers:
Trava [24]3 years ago
5 0
The answer to that question is the sum of the hours he studied for on both days, which will be 1/4 + 3/8.

However, we cannot add fractions with different denominators. In this case, it's 4 and 8.

So if we want to add them, we must make the denominators similar to each other. How to make 4 into 8? We multiply it by 2: 4 x 2 = 8.

BUT when we multiply fractions, we must multiply both the numerator and the denominator by the same number to keep its original value. In this case, if you want to multiply 4 by 2, you must also multiply 1 by 2.

=> SO to make 1/4 into y/8, we will multiply it like this (1 x 2) / (4 x 2) = 2/8

Now we can add the 2 fractions together. 2/8 + 3/8 = (2 + 3)/8 = 5/8. THIS IS YOUR ANSWER.

TL;DR: He studied 5/8 (or 0.625) hour altogether on both days.
mario62 [17]3 years ago
5 0
The answer is 5/8 hours

You just need to sum it up:
\frac{1}{4} + \frac{3}{8} = \frac{1*2}{4*2} + \frac{3}{8}= \frac{2}{8}+ \frac{3}{8}=\frac{2+3}{8}=\frac{5}{8}
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4 0
2 years ago
I need to know if this works
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3 0
3 years ago
2x + 3 = 4x^2<br> completing the square
ch4aika [34]

Answer:

\frac{1+\sqrt{13} }{4}, \frac{1-\sqrt{13} }{4}

Step-by-step explanation:

First, make them on one side of the formula in the form of ax^2+bx+c=0 which is 4x^{2} -2x-3=0

Next, insert the corresponding number in the quadratic formula, \frac{-b+\sqrt{b^{2}-4ac } }{2a}  ,\frac{-b-\sqrt{b^{2}-4ac } }{2a} , and the answer can be calculated.

6 0
1 year ago
"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o
Mariulka [41]

Answer:

11.2 miles


Step-by-step explanation:

We can create a triangle from the information given.

<u>We can call the starting point (0,0) in the coordinate system.</u>

  • <u>10 mi east</u> - 10 miles to the right. then,
  • <u>5 mi north</u> - 5 miles above

<em><u>See the attached picture. The direct distance is labeled as x.</u></em>


Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18


<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>

6 0
3 years ago
Read 2 more answers
when you reverse the digits in a certain two-diget number you increase it value by 27. What is the number if the sum of its digi
Fynjy0 [20]
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is =  x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27    ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y

9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4

x=5-y
x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14
3 0
2 years ago
Read 2 more answers
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