What operation should be performed first in the expression 8 - 2 + 5 x (16 + 66 didved by 2)

Answers

Answer 1
Answer: Because of he parenthesis, the operation in it must be performed first.
So (16+66/2) should be performed FIRST.
Answer 2
Answer:

8 - 2 + 5 x ( 16 + 66 ÷ 2)

Do the ÷ in the bracket:

= 8 - 2 + 5 x ( 16 + 33)

Do the operation in the bracket:

= 8 - 2 + 5 x 49

Do multiplication:

= 8 - 2 + 245

Do subtraction:

= 6 + 245

Do addition:

= 251

-

Answer: 251


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The sum of the squares of 2 consecutive negative integers is 41. What are the numbers?Which of the following equations is the result of using the factoring method to solve the problem?
(n - 5)(n - 4) = 0
(n - 5)(n + 4) = 0
(n + 5)(n - 4) = 0
(n + 5)(n + 4) = 0

Answers

Answer:

Factors are (n + 5)(n - 4) = 0.

Step-by-step explanation:

Given : The sum of the squares of 2 consecutive negative integers is 41. What are the numbers.

To find : Which of the following equations is the result of using the factoring method to solve the problem.

Solution : We have given  statement

Let two consecutive number are : n and  n +1 .

Square of two consecutive number are : n² and (n+1)².

According to question :  sum of the squares of 2 consecutive negative integers is 41.

n² + (n+1)² = 41.

n² + n² + 1 +2n =41

2n² + 2n +1 =41

On subtracting 41 from both sides

2n² + 2n +1- 41 = 0

2n² + 2n  - 40 = 0

On dividing by 2 to whole equation

n² + n - 20  = 0

On factoring

n² + 5n -4n - 20  = 0

Taking common n from first two terms and -4 from first two last terms

n (n +5) -4 (n +5) = 0

Grouping

(n -4) (n +5) = 0.

Therefore, Factors are (n + 5)(n - 4) = 0.

Call n smallest number. Then n+1 is its consecutive.

n^2 + (n+1)^2 = 41
n^2 + n^2 + 2n + 1 = 41
2n^2 + 2n -40 = 0
n^2 + n -20 = 0
(n + 5)(n- 4) = 0

Then the answer is the third option.

Marissa created a graph to show her hair growth since her last haircut. Which table represents the same relationship?

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

I took the quiz on edge, the answer is D :)

Answer:

soo the table isnot here but look for the one that has the nnumbers going up if its a graph the / that is the way of te numbers  but \ is going down soo aviod

if posible

Step-by-step explanation:

....

PLEASE HELP I'LL GIVE YOU 23 POINTSTHERE IS A SCREEN SHOT BUT JUST IN CASE YOU CANT ACCESS IT I'LL ADD THIS!
In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.

Answers

Answer:

x = 55

Step-by-step explanation:

to find angle BPR you would do:

180 - 120 = 60

so BPR is 60°

now to find x you do this:

65 + 60 + x = 180

125 + x = 180

x = 55

Answer:

45 degrees

Step-by-step explanation:

pretty sure

In one day, Annie traveled 5 times the sum of the number of hours brian traveled and 2. Together they traveled 20 hours. Find the number of hours each person traveled

Answers

Brian traveled 1 2/3 hours while Annie traveled 18 1/3 hours.

Explanation:
Let b be the number of hours Brian travels. Annie travles 5 times the sum of Brian's hours and 2, or 5(b+2). Together they travel 20 hours:
5(b+2)+b=20.

Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.

Combine like terms:
6b+10=20.

Subtract 10 from both sides:
6b+10-10=20-10
6b=10.

Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.

Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.

Annie and Brian traveled 18.3 hours and 1.7 hours respectively

Further explanation

Simultaneous Linear Equations can be solved using one of the following methods :

  • Elimination Method
  • Substitution Method
  • Graph Method

Let's try to solve the problem now.

Let :

Annie's number of hours = A

Brian's number of hours = B

If Annie traveled 5 times the sum of the number of hours brian traveled and 2 , then it could be written as :

\boxed {A = 5 * ( B + 2 )} → Equation 1

If together they traveled 20 hours , then it could also be written as :

\boxed {A + B = 20}

5 * ( B + 2 ) + B = 20  ← Equation 1

5B + 10 + B = 20

6B = 20 - 10

6B = 10

B = 10 / 6

B = (5)/(3) ~ hours

\boxed {\boxed {B \approx 1.7 ~ hours} }

A = 5 * ( (5)/(3) + 2 )

A = 5 * ( (5)/(3) + (6)/(3) )

A = 5 * ( (11)/(3) )

A = (55)/(3)

\boxed {\boxed {A \approx 18.3 ~ hours} }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Elimination , Substitution , Graph , Method , Linear , Equation , Simultaneous

Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the point (x1, y1).

Answers

The equation written in point-slope form would be:

 y+2=1/4(x-9).                                                

The oven tray is 600mm by 500mm. A cake tin is 25cm in diameter. How many cake tins can jenny fit on the oven tray at one time?

Answers

Oven tray: 600 mm by 500 mm
cake tin: 25 cm in diameter

convert mm to cm.

1 cm = 10 mm

600mm * 1cm/10mm = 60cm
500mm * 1cm/10mm = 50cm

Area of oven tray = 60cm * 50cm  = 3,000 cm²
Area of cake tin = 3.14 * (25cm/2)² = 3.14 * (12.5cm)² = 3.14 * 156.25cm² = 490.625 cm²

3,000cm² ÷ 490.625cm² = 6.11 or 6 cake tins can fit on the oven tray at one time.