The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
Answers: The page numbers are 11 and 12
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Explanation:
Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.
Let,
x = first page, some positive whole numberx+1 = second page, follows immediately after page xAdding those two said pages will lead to 23
first + second = 23
(x) + (x+1) = 23
2x+1 = 23
2x = 23-1
2x = 22
x = 22/2
x = 11 is the first page
x+1 = 11+1 = 12 is the second page
Check: 11+12 = 23 which confirms the answers.
Solve:
3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2
Answer:
x = 26/45
Step-by-step explanation:
Answer:
Given Question
Solve for x :
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]
[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]
[tex]\rm :\longmapsto\:28x = 26[/tex]
[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]
[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]
VERIFICATIONConsider LHS
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]
On substituting the value of x, we get
[tex]\rm \: = \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]
[tex]\rm \: = \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -15 - 32}{84}[/tex]
[tex]\rm \: = \: - \: \dfrac{47}{84}[/tex]
Consider RHS
[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On substituting the value of x, we get
[tex] \rm \: = \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]
[tex] \rm \: = \: \dfrac{70 - 117}{84}[/tex]
[tex] \rm \: = \: - \dfrac{47}{84}[/tex]
Hence, LHS = RHS
Hence, Verified.
you can read 20 pages in 45 minutes. how many pages can you read in 1 minute
Answer:
enough to process what a word is
Step-by-step explanation:
Kylee is making a cake. The box says for every 1/4 cup of water she needs to use 2/4 of the cake mixture. She uses 3 1/4 cups of water. How much cake mixture does she use? (show your answer as a decimal and as a fraction.)
Answer:
Kylee makes 6 1/2, or 6.5 cups of the cake mixture.
Step-by-step explanation:
She uses double the cake mixture as water. She uses 3 1/4 cups of water, or 13/4 as an improper fraction, so she uses double that of cake mixture, which is 6 1/2, or 26/4 cups of cake mixture.
As a decimal that is 6.5.
there are 25 students in class 2-11 and 20% wear glasses. How many wear glasses?
Answer:
Five students wear glasses.
Step-by-step explanation:
20 percent of 25 is 5
We are given that 25 students in the class and 20% wear glasses.
Take 20% of 25 to calculate how many students wear glasses.
[tex]25 \times 20 \%=25 \times 0.20[/tex]
[tex]= 5[/tex]
5 students in class 2-11 wear glasses. Let me know if you have any questions, thanks!
Pls help I don’t know the answer
Answer:21√10
Step-by-step explanation:
help with the top one ?
Find the measure of each angle indicated.
A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°
Let the missing Angle be " x "
We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,
that is :
x + 80° = 100°x = 100° - 80° x = 20°value of missing angle = 20°
4x/5 = x+3/6
what is the value of x?
also the x is x+3 as the numerator together
it's literally like 5 am and ive been up since 3 am
help??
Answer:
x=15/19
Step-by-step explanation:
You have to start by multiplying the denominators by the numerators. I doesn't matter which you do first, as you can see, I chose to multiply the 6 by the 4x first.
Once that is completed, it is a simple matter of rearranging the equation so it begins with x=...
To do this, just subtract 5x and then divide by 19 on both sides to get the final fraction.
I have attached a photograph of my workings.
P-6+2<-5 solve each inequality and graph its solution, i am lost
Answer:
P < -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]P - 6 + 2 < -5[/tex] [tex]P - 4 < -5[/tex]Step 2: Add 4 to both sides.
[tex]P - 4 + 4 < -5 + 4[/tex] [tex]P < -1[/tex]Therefore, the answer is P < -1! (Also, the graphed solution is below.)
HELP DUE IN 10 MINUTES!!!!!
Two step equations word problems
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
1. Write an equation to determine the total number of questions (q) on Tim's math test.
2. Find the total number of questions on his math test.
Let the number of accurate answers provided by Tom equal x.
The number of incorrect responses is ten.
Tim receives 4 marks for each right answer.
Marks deducted for wrong answers = 0.
Total Points = 76
When all of the above statements are combined, the equation
76 = 4 x + 10 * 0
4 x = Equals 76.
19 = x
The number of correct answers is 19
The number of incorrect responses equals ten.
Total number of questions = 19 + 10 = 29
-5-3(6x-8)= -5x + 19
Pls help !!!!!!!!!!!!!!!!!!!!!
Answer:
The slope is 2.
Step-by-step explanation:
You can see on the intercepts that it goes rise 2 and run over 1 which would basically equal to 2.
Step-by-step explanation:
I don't know if it help but here.It's the one that says slope of a line.
Steven deposits $200 in a savings account, and decides to increase the amount by $5 every month. Identify the function that describes the arithmetic sequence, and the amount he should deposit after 8 months.
possible answer: D = 8n + 200; $240
possible answer: D = −5n + 200; $160
possible answer: D = 5n + 200; $240
possible answer: D = −8n + 200; $160
The required equation is D = 5n + 200 and the amount deposited after 8 months is $240
Given the amount that steven deposited every month as $200
Let n be the number of months
If he decides to increase the amount by $5 every month, then the amount added after n months will be $5nThe function that describes the arithmetic sequence will be expressed as sum of the amount deposited and increment:D = 200 + 5n = 5n + 200
In order to get the amount deposited after 8 months, we will replace n by 8 to have:
D = 200 + 5(n)
D = 200 + 5(8)
D = 200 + 40
D = 240
Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240
Learn more here: https://brainly.com/question/2159099
PLEASE EXPLAIN YOUR REASONING!!
If a loan is $2,000.00 at 12 percent annual interest and the loan was made on June 15 and due on December 15, what is the ordinary interest?
A. $72.00
B. $24.00
C. $120.00
D. $240.00
Answer:
$120.00
Step-by-step explanation:
2000/100 = $20 = 1%
20x12 = $240 = annual intrest = 12m
June 15 - December 15 = 6m
240/2 = $120 for half a year intrest!
Answer:
$120.00
Step-by-step explanation:
How did you get 99 after that
Question is down below
Answer:
Step-by-step explanation:
2+6=8
8x divide by 5=1.6x
4x-3=1x
1.6x=1x
Please solve for 1,2 and 3
Answer:
1. 750/100
h=7.5 in
the difference of (1/2h+7)-(3/2h+9)
Answer:
1h+2
Step-by-step explanation:
(1/2)-(3/2)=-(2/2)=-1
7-9=-2
-1h-2
1h+2
Answer:
1h+2.
Step-by-step explanation:
add up the stuffff$fffffffffff
If R is the midpoint of QS, QR = 6x – 51 and RS = 2x – 7, find QS.
Answer:
QS = 30
Step-by-step explanation:
Since R is the mid point QR = RS
Given QR = 6x – 51 and RS = 2x – 7 then
6x – 51 = 2x – 7, isolate like terms
6x -2x = 51 -7 , combine like terms
4x = 44, divide both sides by 4
x = 11
QS = QR + RS
QS = 6x -51 +2x -7 , combine like terms
QS = 8x - 58, substitute x= 11 in the equation
QS = 8*11 -58, multiply 8 and 11
QS = 88 -58
QS = 30
Every 7 days a plant grows 4 centimeters. Complete the table.
14 35 21 28
Answer:
28 days = 32cm
This is because the data shows that for every 7 days the plant grows 7cm
A car is traveling at a steady speed. It travels 1 ¾ miles in 2 ⅓ minutes. How far will it travel in 41 minutes? In 1 hour?
Answer:
What can I do for you?
Step-by-step explanation:
If mZx = 126° Calculate mZy
Find three consecutive positive integers such that the product of the second integer and the third integer is 20.
Please help me solve this please
1. Evaluate 3•7 - 1.
о o
20
21
18
-5
PLEASE HELP 25 points!! Algebra 1
Answer:
A
Step-by-step explanation:
twice of the second angle
2b
15 less than it
2b - 15
that is the first angle
2b - 15 = a
:)
What is the result of gaining 10 pound then losing 20
Answer:
-10 pounds or 10 pounds loss
Step-by-step explanation:
you subreact 10-20 and you get -10
4x-y=20 find the X and Y intercepts from the equation
Answer:
its c
Step-by-step explanation:
i took it
the water level in a pool in terms of the number of hours elapsed, x, if the initial water level is 4 inches and the water level is rising at the rate of 1.5 inches every 15 minutes
Answer:
x=3.375
Step-by-step explanation:
4x+1.5=15