MATHEMATICS HIGH SCHOOL

Find two consecutive number which add up to 89.
What are the steps.

Answers

Answer 1
Answer: let the first number be x
the second number is (x + 1)
according to the condition,
x+(x+1)=89
or, 2x+1=89
or, 2x=89-1
or, 2x=88
or, x=88/2
or, x = 44

therefore,
first number = 44
second number = 45
Answer 2
Answer: irst lets represent
x as first number and x+1 as ne t consecutive number

x+x+1=89
2x=88
x=44

therefore the consecutive numbers are 44 and 45

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Divide: (x^2-10x+30)/(x-5)A. x-10-6
B. x-5- 5/x-5
C. x-10- 30/x-5
D. x-5+ 5/x-5

Answers

Answer:

Option D is correct.

Step-by-step explanation:

(x^(2) -10x+30)/(x-5)

Solving this we get:

x+(-5x+30)/(x-5)

Quotient = x remainder = -5x+30

Now dividing, (-5x+30)/(x-5), we get

-5+(5)/(x-5)

quotient = -5 and remainder = 5

So, the answer is :

x-5+(5)/(x-5)

Therefore, option D is correct.

Given: x - 5 > -10. Choose the solution set.

{x | x R, x < -15}
{x | x R, x > -5}
{x | x R, x < 5}
{x | x R, x > 15}

Answers

Answer:

B.\{x|x\text{ R},x>-5\}

Step-by-step explanation:

We have been given an inequality. We are asked to choose the solution set for our given inequality.

x-5>-10

First of all, we will separate variable x on one side on inequality as:

x-5+5>-10+5

x>-5

Therefore, the solution for our given inequality are all values of x greater than -5 and option B is the correct choice.
It is the second one.Caus -10 +5 when it is brought to the other side.Thus x>-5

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.a. (–3, 2)
b. (1, 4)
c. (1, 5)
d. (0, 5)

Answers

Using the slope-intercept form of a line, the equation can be generated
y = mx + b

m = 2
and we can solve for b by substituting the given coordinates where the line passes through
3 = 2(-1) + b
b = 5

So, the equation of the line is
 y = 2x + 5

Trying the options using the equation, the answer is
d. (0,5)

Zoe and Josiah are both selling cookie dough for a fundraiser. Although Zoe has already sold 12 tubs, Josiah hasn't sold any yet. If Zoe starts selling 2 tubs per day and Josiah begins selling 4 tubs per day, they will eventually sell the same amount of cookie dough.

Answers

Answer:

6 days

Step-by-step explanation:

Given

Zoe

Sold out = 12

Rate = 2 daily

Josiah

Sold out = 0

Rate = 4 daily

Required

Determine when they sell the same number of tubs

Represent days with d

The number of tubs sold in any give day can be calculated using:

Tubs = Sold out + Rate * Number of days

For Zoe:

Expression: 12 + 2 * d

Expression: 12 + 2d

For Josiah

Expression: 0 + 4 * d

Expression: 4 * d

Expression: 4d

Next, we equate both expressions to get the number of days

4d = 12 + 2d

Collect like terms

4d - 2d = 12

2d = 12

Solve for d

d = 12/2

d = 6

Hence, it'll take 6 days

Nico rolled two number cubes 250 times. use the complement to find the experimantal propability of not rolling a 3 on the blue number cube, NC2.

Answers

Answer:

the probability is 0%  

Step-by-step explanation:

is there options like

A

B

C

options

Four brothers went to a dance. As they left, each one of the brothers accidentally took a hat belonging to another brother and a coat belonging to another, different brother. Maurice took the coat belonging to the brother whose hat got taken by Phil, while Phil's coat got taken by the brother who took Maurice's hat. Serge took John's hat. Whose coats and hats were taken by Maurice and Phil. Please tell me how you got your answer :)

Answers

It can not be john since his hat is already taken by serge and I dont think Phil and Maurice would share his coat.
It must be the hat and coat of serge because as I already said Johns hat is already taken away by serge and Serge is the only person left that has not anything taken away yet. That is only true if Maurice and Phil do not take their own stuff. But it says they accidently grab the stuff of their brothers so it must be Serge´s.
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