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3 years ago

Simplify the given expression. 5+(6-5)+5^2

Mathematics

2 answers:

Firdavs [7]3 years ago

8 0

Answer:

PEMDAS - remember that multiplication and division are either or, the same as add and substract; based on what you are being asked to do. The equation should clearly express what it wants. Also, simplify the given expression is not asking you to solve the equation.

Step-by-step explanation:

Step 1 Look at the problem

5 + (6 -5) + 5^2

Step 2 What would you do first based on order of operation

Parenthesis, so 5 + (6 -5) now becomes 5 + 1

Step 3 What's next based on order of operations

5^2 becomes 5 X 5 = 25

Step 4 Therefore the simplified expression then becomes easily solvable and easy to understand.

5 + 1 +25

ki77a [65]3 years ago

6 0

Answer:

Step-by-step explanation:

5+(6-5)+5^2

use PEMDAS,

Parentheses

Exponents

Multiply

Divide

Addition

Subtraction

meaning-

5+(6-5)+5^2

5 + 1 + 5^2

5 + 1 + 25

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Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil rem

mariarad [96]

Answer:

Nirmala can use the lamp for 31.66 hours before it runs out of oil.

Step-by-step explanation:

From the graph,

Take any two points, let say

(15, 25)

(25, 10)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(15,\:25\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)$

$m=\frac{10-25}{25-15}$

$m=-\frac{3}{2}$

The equation of line in slope-intercept form

$y = mx + b$

Putting $m=-\frac{3}{2}$ and any point, let say (25, 10), to find the y-intercept 'b'

$10=-\frac{3}{2}\left(25\right)+b$

$-\frac{3}{2}\left(25\right)+b=10$

$-\frac{75}{2}+b=10$

$\mathrm{Add\:}\frac{75}{2}\mathrm{\:to\:both\:sides}$

$-\frac{75}{2}+b+\frac{75}{2}=10+\frac{75}{2}$

$b=\frac{95}{2}$

$b=47.5$

So the equation of line will be:

$y = mx + b$

$y=-\frac{3}{2}x+47.5$

In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.

$y=-\frac{3}{2}x+47.5$

Putting y = 0

$0=-\frac{3}{2}x+47.5$

$-\frac{3}{2}x+47.5=0$

$-\frac{3}{2}x=-47.5$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$2\left(-\frac{3}{2}x\right)=2\left(-47.5\right)$

$-3x=-95$

$\mathrm{Divide\:both\:sides\:by\:}-3$

$\frac{-3x}{-3}=\frac{-95}{-3}$

$x=\frac{95}{3}$

$x=31.66$

Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.

4 0

3 years ago

Read 2 more answers

I know what the answer is but the teacher wants me to explain helpppppp

adoni [48]

answer: 8

Steps / explaination

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3 years ago

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$

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3 years ago

Jason is making a fruit salad. He mixes in 3 1/4 cups of orange melon and 2 2/3 cups of green melon. How many cups of melon does

Strike441 [17]

Answer:

5 11/12 cups of melon

Step-by-step explanation:

The cups of melon he puts in the fruit salad is:

Number of cups of orange melon + Number of cups of green melon

= 3 1/4 cups + 2 2/3 cups

3 + 2 + (1/4 + 2/3)

The Least common denominator is 12

5 + (3 × 1 +4 × 2/12)

5 + (3 +8/12)

5 11/12 cups

Therefore, Jason put in 5 11/12 cups of melon in the fruit salad.

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Answer:

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Step-by-step explanation:

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