Answers
Answer:
a = 1, b = 4
Step-by-step explanation:
You have worked out part (a) correctly, that is
0.7575... = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex]
(b)
[tex]\frac{a}{11}[/tex] + [tex]\frac{b}{6}[/tex] = [tex]\frac{25}{33}[/tex]
[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{25}{33}[/tex]
Multiply numerator/ denominator of [tex]\frac{25}{33}[/tex] by 2, thus
[tex]\frac{25(2)}{33(2)}[/tex] = [tex]\frac{50}{66}[/tex] , then
[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{50}{66}[/tex] , thus
6a + 11b = 50
Choose a = 1 ( a positive integer ), then
6(1) + 11b = 50
6 + 11b = 50 ( subtract 6 from both sides )
11b = 44 ( divide both sides by 11 )
b = 4
a = 1, b = 4, so
[tex]\frac{1}{11}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{25}{33\\}[/tex]
Related Questions
An ounce of silver is worth $20.16 per ounce. How much is 13.5 ounces of silver worth?
Answers
Answer:
13.5 ounces of silver is worth $272.16
Step-by-step explanation:
since it is $20.16 per ounce, simply multiply 20.16 and 13.5 to get 272.16
Step-by-step explanation:
Times 20.16 by 13.5 and you will get 272.16
Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?
Answers
Answer:
0.4
Step-by-step explanation:
The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become
P(B)=number of black marbles divide by total number of marbles
P(B)=6/15
P(B)=0.4 OR 40%
Therefore the probability that Tommy will pick black marble is 0.4 or 40%
Natalie had a job after school. She worked 25 hours a week and got paid $6.25 an hour. How much money would she earn for two weeks of work?
Answers
Answer:
312.5
Step-by-step explanation:
25 x 2, for two weeks of work = 50
50 x 6.25 = 312.5
Answer:
She got paid $312.50 every two weeks,
Step-by-step explanation:
6.25 times 25 is 156.25. Multiple that by 2 and you get 312.50z
The pressure exerted on an object under water increases by 1 atmosphere every 33 feet below the surface of the water. At sea level, the pressure is l atmosphere. Which equation gives the total pressure p, in atmospheres, exerted on an underwater object at a depth of f feet below sea level? A) P 33 B) p 33f C) p 33f+ 1
Answers
Answer:
ooooooooooooooooooooooooo
The linear function that gives the total pressure exerted on an underwater object at a depth of f feet below sea level is given by:
p = l + 0.0303f.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
The pressure changes by 1 for each 33 feet of depth, hence m = 1/33 = 0.0303.The initial pressure is of l, hence b = l.Thus, the function is given by:
p = l + 0.0303f
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And Louisa bakes a batch of brownies she is 1/2 cup of chocolate. If she has 3/2 cups of chocolate remaining how many batches of Brownies can Louisa make.
Answers
Make ”a” the subject of the formula 9a-8=2(a-b)
Answers
Answer:
Step-by-step explanation:
9a - 8 = 2a - 2b
7a - 8 = -2b
7a = 8 - 2b
a = (8 - 2b)/7
In how many ways can 11 bowlers be
selected from 25 who came to a bowling ally?
using npr or ncr
Answers
Answer:
Yes ans = 27720. Total possibilities = C(4,1) * C(6,4) * C(11,6) = 27720.
the price of a share of stock for a company XYZ at the beginning of the week was $24.75. over the next 5 days, the share of the stock gained $2.50 on Monday lost $3.25 on Tuesday lost $0.75. on Wed, gained $1.25 on Thursday, and gained 4.75 on Friday
Answers
Answer:
$29.25
Step-by-step explanation:
The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let the integers loss is represented by negative integers whereas profit is represented by positive numbers.
Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by; + $2.50.
On Tuesday, loss of $3.25 represented by; - $3.25 .
On Wednesday, loss of $0.75 represented by; - $0.75.
On Thursday, gain of $1.25 represented by ;+ $1.25.
On Friday, gain of $4.75 represented by; + $4.75.
The Price of the share of stock at the end of Friday would be;
= (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, The Price of the share of stock at the end of Friday would be; $29.25. the correct option is B. $29.25.
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How many times larger is 5 × 10^6 than 5 × 10^2
Answers
Answer:
3 times
Step-by-step explanation:
The number 5 x 10⁶ is 10000 times greater than the number 5 x 10².
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the numbers are 5 x 10⁶ and 5 x 10². How many times the number is greater will be calculated by dividing the bigger number by the smaller number.
E = ( 5 x 10⁶) / ( 5 x 10² )
E = 10000
Therefore, the number 5 x 10⁶ is 10000 times greater than the number 5 x 10².
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Maya needs to drive miles to work. So far, she has driven miles. How many more miles must she drive?
Answers
Answer:7
Step-by-step explanation:
7 beacause she is far away
Answer:
unknown
Step-by-step explanation:
we need more stuff to go off of
You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve an equation to find the additional number x of cookies you need to bake in order to have 2 cookies for each student. Write your equation so that the units on each side of the equation are cookies per student.
Equation: The equation has to equal 2
=2
Number of cookies: x=
Please help Thank you
Answers
Answer:
12+2x=46 x=17 cookies
Step-by-step explanation:
First you are going to double the number of students because each student is getting 2 cookies. Then you will subtract 12 from 46 and that gets you 34. Then you will divide 2 by 34 to get how many cookies she needs to bake. 17 more cookies. To check your work plug in 17 by the x. so 2 times 17 is 34 plus 12 is 46 so that answer is correct.
Question is -4x + 14 = 54
Answers
Answer: x = -10
Step-by-step explanation:
-4x = 54 - 14
-4x = 40
x = 40/-4
x = -10
is x and x2 a like term
Answers
Answer:
i would like to say yes.
Step-by-step explanation:
Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are in the drawing. Which dimensions could he use in the scale drawing? Dimensions of Original: Length: 20 feet Width: 25 feet Answers To Choose From: 12.5 inches x 10 inches or 11 inches x 6 inches or 10 inches x 8 inches or 12 inches x 9 inches
Answers
Answer:
D; 21
Step-by-step explanation:
Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are shown below.
Which point represents the approximate location of 28?
A) point A
B) point B
C) point C
D) point D
Answers
Answer:
a.
Step-by-step explanation:
It appears to be increasing in increments of ten
Savanah solved the equation 3 + 4|3 plus 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 11. + 3| = 11 for one solution. Her work is shown below:
4|5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3| = 8
|5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3| = 2
5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3 = 2
5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. = –1
x = –2
What is the other solution to the given absolute value equation?
Answers
Answer: Its -10 :)
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
on edge it works
a music CD costs $18. What is the total cost of the CD if there is a 6.25%sales tax?
Answers
Answer:
$19.13
Step-by-step explanation:
18 + 6.25 is 19.125 and you would round that to 19.13 as your total
An airline records data on several variables for each of its flights, model of plane, amount of fuel used, time in flight,
number of passengers, and whether the flight arrived on time. The number and type of variables recorded are
1 categorical, 4 quantitative (1 discrete, 3 continuous)
O 3 categorical, 2 quantitative (1 discrete, 1 continuous)
O 1 categorical, 4 quantitative (2 discrete, 2 continuous)
2 categorical, 3 quantitative (1 discrete, 2 continuous)
O 2 categorical, 3 quantitative (2 discrete, 1 continuous)
Answers
Answer:
The correct option is;
2 categorical, 3 quantitative (1 discrete, 2 continuous)
Step-by-step explanation:
A categorical variable which is otherwise known as a nominal variable is one which can be qualified as belonging to one class or category of objects or the other, depending on its attributes, and not based on order of the classes.
Therefore;
1) The model of the plane, and 2) whether the flight arrived on time, are categorical variable
A quantitative variable is a variable that indicates measurement and therefore, indicates the numerical magnitude of a measurement.
Therefore;
1) Amount of fuel used, 2) Time in flight, 3) The number of passengers are quantitative variables
Quantitative variables can be either discrete or continuous
A discrete quantitative variable is one that has a finite number of possible values or which may have an infinite but countable number of values
Therefore;
1) The number of passengers which is countable and exact is a discrete quantitative variable
A continuous variable is one whose exact or accurate value range is infinite or a variable with a limitless value set such as the range of values between two real numbers
Therefore;
1) Amount of fuel used and 2) Time of flight are continuous quantitative variables.
5/8 divided by 5 what is the answer in fraction form
Answers
Answer:
1/8
Step-by-step explanation:
Help please!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
4x=2(x+6)
4x=2x+6
2x=6
x=3
HELP PLEASE! IM STUCK!
Answers
Answer:
D
Step-by-step explanation:
HELP TRUE OR FALSE 25 POINTS!!
Answers
Answer:
False because the A does not have a dot on it.
Sovle for x . 4(x-4)=36
Answers
Answer:
below
Step-by-step explanation:
[tex]x.4 ( x-4) = 36 \\[/tex]
[tex]4x(x-4) = 36 \\[/tex]
[tex]4x^{2} - 16x = 36[/tex]
add -36 to both sides
[tex]4x^{2} - 16x - 36 = 36 -36 \\4x^{2} -16x - 36 = 0[/tex]
divide both sides by 2
[tex]\frac{4x^{2} - 16x - 36 }{4} = 0/4[/tex]
[tex]x^{2} -4x-9 = 0[/tex]
This is a quadratic equation
let's solve it by graphing it
The solution are the x-coordinates of the intersection points
The x-coordinates of the intersection points are approximatively -1.6 and 5.6
really easy questions just too lazy to solve them - will give a lot of points - answer as many as you want
Answers
Answer:#8 Ryan is 10 years old.
Step-by-step explanation:
Answer:
3. I think $4
Step-by-step explanation:
What is the equation number of songs, one, none, or plenty and the total cost
Answers
this hard
explanation
sorry i can’t help
Given f(x) = x2 − 4x + 5, find . . . .
a. f(2) b. f(-6)
Answers
Answer:f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(2) = (2)^2 - 4(2) + 5 = 4 - 8 + 5 = -4 + 5 = 1
f(-6)= (-6)^2 - 4(-6) + 5 = 36 + 24 + 5 = 60 + 5= 65
Rylie paid $12 for two cans of racquetballs as shown in the tape diagram, where the green bars represent the amount she spent, and the blue bars represent the number of cans she bought. She needs to purchase three cans of racquetballs. How much will she pay?
Answers
Answer:
18$
Step-by-step explanation:
If Rylie paid 12$ for two cans, then divide twelve by two then you'll get 6$ so 6$ is one can so multiply six by three and you will get 18$ for three cans.
sorry if I'm wrong I'm trying to help.
I BET NO ONE KNOWS THIS QUESTION which of the following is a social norm?
A. Stopping at a red light in an intersection
B. Caring for an elderly neighbor by pulling her weeds once a week
C. A group of hispanic families who choose to live in the same neighborhood or community
D. All the choices are correct
Answers
Answer:
D. All the choices are correct
I think that's the right answer, if it isn't than my bad!!
2(c-5) - 3
What is the answer?
Answers
Step-by-step explanation:
2 · c - 5 · 2 - 3 = 2c - 10 - 3
2c - 10 - 3 = 2c - 7
PLEASE HELP ME IM BEGGING YOU
Answers
Answer:
A: 2x-1
Step-by-step explanation:
Graph it. if you plug in the x and y of (1,1)
1= 2(1)-1
1=2-1
correct
Answer: A
Step-by-step explanation:
Since we are given the slope, all we have to do is use the given point to find the y-intercept.
y=2x+b [plug in (1,1)]
1=2(1)+b [multiply]
1=2+b [subtract both sides by 2]
b=-1
Now, we know the equation is y=2x-1.