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3 years ago

give two examples that show how using parentheses can change the order in wich operations are performed in an expression

2 answers:

8 0

This is because of the order of operations:
Parentheses
Exponent
Divide
Multiply
Add
Subtract

Note that parentheses are the first, so it will affect everything after it.

Examples:
2(5+4)= 2x9= 18
(2x5)+4= 10+4= 14

5/(2+3)= 5/5= 1
(5/2)+3= 2.5+3= 5.5

Flauer [41]3 years ago

4 0

(4 + 2) / 36 = 1/6
4 + 2/36 = 4 + 1/18 = 72/18 + 1/18 = 73/18

(5 - 3) / 4 = 1/4
5 - 3/4 = 20/4 - 3/4 = 17/4

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and one day and he traveled five times the sum of the number of hours Brian traveled and 2 together they travel 20 hours find th

Jet001 [13]

Let X represent the number of hours you travelled
Let B represent number of hours Brian travelled

Equation 1 is X + B = 20 (since combination of number of hours you and Brian travelled equal to 20 hours)
Equation 2 is M = 5B (since you travelled five times more than the amount in which Brian travelled)

Plug Equation 2 into Equation 1 (replacing M with its value)
5B + B = 20

Rearrange equation to make B its subject (find B)
6B = 20
6B/6 = 20/6
B = 3(1/3)
Brian travelled a total of 3(1/3) (three and a third) hours.
(1/3) of an hour = 60/3 or 60*(1/3) = 20mins
Brian travelled a total of 3hrs & 20mins.

Plug B value back into Equation 1
M + B = 20
M + 3(1/3) = 20

Rearrange equation to make M its subject (find M)
M = 20 - 3(1/3) = 16(2/3)
You travelled a total of 16(2/3) (sixteen and two-thirds) hours.
(2/3) of an hour = 60/3*2 or 60*(2/3) = 40mins
You travelled a total of 16hrs & 40mins.

8 0

4 years ago

I need help 30 pionts if u help me!!!!

enyata [817]

If you want to find the volume have to multiply the length times width times height

As so 2 x 9.6 x 10= 192

4 0

2 years ago

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

RoseWind [281]

Answer:

a. The equation of the parallel line to the given line is y = -4x + 19

b. The equation of the perpendicular line to the given line is y = $\frac{1}{4}$ x + 2

Step-by-step explanation:

Parallel lines have the same slopes

If the slope of one of them is m, then the slope of the other is m

The product of the slopes of the perpendicular lines is -1

If the slope of one of them is m, then the slope of the other is $-\frac{1}{m}$

To find the slope of a perpendicular line to a given line reciprocal the slope of the given line and change its sign

The rule of the slope is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are the points on the line

The form of the equation of a line is y = m x + b, where

m is the slope

b is the y-intercept

Let us solve the question

∵ The given line passes through points (1, 6) and (2, 2)

∴ x1 = 1 and y1 = 6

∴ x2 = 2 and y2 = 2

→ Substitute them in the rule of the slope to find it

∵ m = $\frac{2-6}{2-1}=\frac{-4}{1}=-4$

∴ The slope of the given line is -4

∵ The line is parallel to the given line

∴ Their slopes are equal

∵ The slope of the given line = -4

∴ The slope of the parallel line = -4

→ Substitute its value in the form of the equation above

∴ y = -4x + b

→ To find b substitute x and y in the equation by the coordinates

of any point on the line

∵ The parallel line passes through the point (4, 3)

∴ x = 4 and y = 3

∵ 3 = -4(4) + b

∴ 3 = -16 + b

→ Add 16 to both sides

∴ 3 + 16 = -16 + 16 + b

∴ 19 = b

→ Substitute it in the equation

∴ y = -4x + 19

The equation of the parallel line to the given line is y = -4x + 19

∵ The line is perpendicular to the given line

∴ The product of their slopes is -1

→ Reciprocal the slope of the given line and change its sign

∵ The slope of the given line = -4

∴ The slope of the perpendicular line = $\frac{1}{4}$

→ Substitute its value in the form of the equation above

∴ y = $\frac{1}{4}$ x + b

→ To find b substitute x and y in the equation by the coordinates

of any point on the line

∵ The perpendicular line passes through the point (4, 3)

∴ x = 4 and y = 3

∵ 3 = $\frac{1}{4}$ (4) + b

∴ 3 = 1 + b

→ Subtract 1 from both sides

∴ 3 - 1 = 1 - 1 + b

∴ 2 = b

→ Substitute it in the equation

∴ y = $\frac{1}{4}$ x + 2

The equation of the perpendicular line to the given line is y = $\frac{1}{4}$ x + 2

4 0

3 years ago

Read 2 more answers

there are 158 4th grade students and 139 fifth grade students going on a field trip .there needs to be at least 1 adult chaperon

strojnjashka [21]

Answer:

(D) is the best explanation

Step-by-step explanation:

The total number of students is 158 + 139 = 297. This number can be rewritten as ...

297 = 37 × 8 + 1

That is, if there were 37 chaperones, 1 student would remain without a chaperone. That means the number of chaperones must be increased by 1 to 38. This is best explained by choice D.

3 0

3 years ago

What are three rational numbers between -1 and -2

MArishka [77]

well, rational = fractional, namely something you can write as a fraction, well, anything between -1 and -2 is just less than -1 so

$\bf \boxed{-2}\dotfill \stackrel{-1-\frac{1}{4}}{-\cfrac{5}{4}}\dotfill\stackrel{-1-\frac{1}{10}}{-\cfrac{11}{10}}\dotfill \stackrel{-1-\frac{1}{99}}{-\cfrac{100}{99}}\dotfill \boxed{-1}$

7 0

3 years ago