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melisa1 [442]
4 years ago
5

Simplify. 3/5+(−1/4)7/10 Enter your answer, in simplest form, in the boxes. $$

Mathematics
1 answer:
Solnce55 [7]4 years ago
7 0

Answer:

<em>The answer will be:  \frac{17}{40}</em>

Step-by-step explanation:

The given expression is:   \frac{3}{5}+(-\frac{1}{4}) \frac{7}{10}

First we need to multiply -\frac{1}{4} and \frac{7}{10}. So, we will get.......

\frac{3}{5}+(-\frac{7}{40}) \\ \\ =\frac{3}{5}- \frac{7}{40}

Now, we need to make both denominators equal. So.........

\frac{3\times8}{5 \times 8}-\frac{7}{40} \\ \\ =\frac{24}{40}- \frac{7}{40} \\ \\ =\frac{24-7}{40}= \frac{17}{40}

So, the answer will be:  \frac{17}{40}

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Give two examples that show how using parentheses can change the order I. Witch operations are performed in an expression
pantera1 [17]
The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.

These two examples illustrate how the use of parentheses can change the order.

Example 1:
5+7/3x4-2/5 has an answer of 13.933.

Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933

If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.

Example 2:
8/3²x5+4 has the answer 8.444

Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444

If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.

3 0
4 years ago
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)
Julli [10]

Answer:

  • 290

Step-by-step explanation:

<u>Solving with one operation at each step:</u>

  • {362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) =
  • {362 – [63 + 24 x 2]} + 3(9 +4) =
  • [362 – (63 + 48)] + 3(9 +4) =
  • (362 – 111) + 3(9 +4) =
  • 251 + 3(13) =
  • 251 + 39 =
  • 290
6 0
3 years ago
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SVETLANKA909090 [29]

Draw 4 even lines in the rectangle

7 0
3 years ago
Write ✓-98 in simplest radical form.
trapecia [35]

Answer:

Step-by-step explanation:

This first step is to take the square root of the minus which is understood to be - 1

sqrt(-1) = i

So far what you have is

sqrt(-98) = i*sqrt(98)

sqrt(98) is just found the ordinary way

sqrt(98) = sqrt(7*7*2)

sqrt(7*7*2) = 7*sqrt(2)

Answer: 7 * i * sqrt(2) = i7*sqrt(2)

Pick the choice that looks like what you have done for homework.

8 0
3 years ago
Which of the following statements is true?
valentinak56 [21]

Answer:

All the populations in an ecosystem form the community.

Step-by-step explanation:

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