Answer:
Bert is 11 years old and Max is 17 years old.
Step-by-step explanation:
System of Equations
To solve the system of equations, we use two variables x and y. Let's make:
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:
x - 5 = 2(y - 5) [1]
It's also known a year from now, the sum of their ages would be 30:
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
(2y - 5) + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3 = 11
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5 = 17
x = 17
Max is 17 years old and Bert is 11 years old
Solve the equation
5x - ( 4x - 1) = 2
a. 1/9
b. - 1
c. - 1/9
d. 1
from the choices provided
Answer:
5x-4x+1=2
5x-4x=2-1
x=1ans
Answer:
D. 1
Step-by-step explanation:
1 poll
Olivia is 4 feet 10 inches tall. She compared her height with her younger
sister, Susan, and found that Susan is 15 inches shorter than she is. What is
Susan's height, in inches?
Answer:
Step-by-step explanation:
4 feet = 48 inches, add 10 inches = 58 inches
if susan is 15 inches shorter, 58- 15 = 43
43/12 = 3 feet 5 inches
The measures of the angels of a triangle are show. In the figure below solve for x
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
WHATS THE ANSWER HELP
9.6x10^85/3x10^63 in scientific notation
Answer:
3.27*10^22
Step-by-step explanation:
Given the expression 9.6x10^85/3x10^63, we are to write it on scientific notation as shown:
9.6x10^85/3x10^63
= (9.8/3) * (10^85/10^63)
= (9.8/3) * 10^{85-63}
= (9.8/3) *10^22
= 3.27 *10^22
Hence the expression in scientific notation is 3.27*10^22
Give the domain and range.
Answer:
option a is correct answer
Chanel rolls a 6-sided die {1,2,3,4,5,6), and then flips a coin {H,T}
Which outcome is in the sample space of this experiment?
A.5H
B. T3
C. 24
D.TH
Answer:
5H
Step-by-step explanation:
Given
A roll of die followed by a flip of coin.
Required
Determine possible outcome in the sample space
Taking the experiment one at a time.
A roll of die will either give any of 1 to 6 as its outcome.
A flip of coin will either give any of H or T as its outcome.
So, the possible outcomes of a roll of die followed by a flip of coin is:
{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Note that numbers came first because the question stated that the die is rolled first.
Comparing the list of given options with the sample space above.
Option (A) i.e. 5H answers the question.
3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6
Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.
Search entries or author
Answer:
Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.
Seventh grade
M.1 Add, subtract, multiply, and divide money amounts: word problems HGN
You have prizes to reveal
A high-tech company came out with two new MP3 players this week. It costs $465 for the
model with more memory or $107 for the one with less memory. What is the price
difference?
Submit
Answer:
C. NUMBER OF DOWNLOADED SONGS
Step-by-step explanation:
Among the following, the independent quantity in the function:
amount of remaining MP3 player memory as a function of downloaded songs is
The remaining memory will depend on the number of songs downloaded. So, the number of downloaded songs is considered as the independent variable while the remaining memory is the dependent variable.
Answer:
Easy, 358
Step-by-step explanation:
because 2 new mp3 players are $465 and have new storage.
While 1 new mp3 player is $107 but it has less storage.
So we subtract because it's asking us the difference between the price of the $465 and the $107.
465
- 107
--------
358
Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?
Answer:
The price would be $51.75.
Step-by-step explanation:
Since Joe is marking up by 15%, the price will increase for the pair of shoes. Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.
NEED ANSWER ASAP- FINALS
Which type of function best models the data in the table? Use differences or ratios.
Choose the correct answer below.
• Exponential model
• Linear model
• None
• Quadratic model
1) -1 = x – 5
2) -5x + 2 = 17
PLS ANSWER PLS PLS PLS
Estimate 32% of 19.
Answer: 6.08.
Explanation: 32% × 19 = 6.08.
what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4
Answer:
x= 21/4
Step-by-step explanation:
have a good day
Slope from graph 2
Find the Slope!
Answer:
y= -4x+4
Step-by-step explanation:
so the slope is -4x
Answer:
5/2 is the slope
Step-by-step explanation:
Rise/Run= 5/2
so, slope=5/2
During each week of piano lessons, William learns to play 2 new pieces. Write an equation that shows the relationship between the weeks of lessons x and the total number of pieces learned y.
Answer:
William can find how many piano pieces he has learned by using the equation y = 2x.
Step-by-step explanation:
We are given that William learns two piano pieces per week.
We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).
The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.
[tex]x=16[/tex]After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.
[tex]x \times 2[/tex]Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.
[tex]y=x\times 2[/tex]In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.
[tex]y=2x[/tex]Therefore, our equation is [tex]\bold{y = 2x}[/tex].
ASAP!!!!
What is 4 1/2 x 2
Answer:
Answer is 9 Broski mark as brainliest
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Nikki makes $9.50 an hour working at Current Electronics She plans to buy a DVD recorder that costs $269.60. Write and solve an inequality
describing how many hours h Nikki will have to work to be able to buy the DVD recorder
A. 269,60 -- 29.56; 28 hours
B. 9.50h 2 269,60; 29 hours
C. 269.60 + h 29.50; 31 hours
D. 269.60 2 9,50; 30 hours
Answer:I would believe it's the first choice. I'm not great with the inequalities though so it could be wrong. If you work 29 hours making $9.50, you make like $275 or something so it is greater than the $269.60 you need. :D
Answer:
nikki should quit her job
What is the expression of 5 times the difference between 19 and 13
Answer:
5 x 6
Step-by-step explanation:
help plssssssssssssssss
Answer:
the answer is c
Step-by-step explanation:
For what value of x is L ll m
Answer:
x = 89
Step-by-step explanation:
3x - 18 + 105 = 180
3x - 87 = 180
+ 87 + 87
3x = 267
/ 3 / 3
x = 89
Which relation below is not a function
Answer:
its c i believe <3
A rectangular field is 348 inches long and 7 yards wide
ill take a guess on what the actual question is..
area: 2,436
perimeter: 710
Answer:
um i think it's cheese
Step-by-step explanation:
Because i like cheese
Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be ________ ounces.
Answer:
The value is [tex]UCL = 10.8[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 9 \ ounce[/tex]
The sample size is n = 25
The standard deviation is [tex]\sigma = 3 \ ounce[/tex]
Given that the sample size is not large enough i.e n< 30 we will make use of the student t distribution table
From the question we are told the confidence level is 99.7% , hence the level of significance is
[tex]\alpha = (100 -99.7 ) \%[/tex]
=> [tex]\alpha = 0.003[/tex]
Generally the degree of freedom is [tex]df = n- 1[/tex]
=> [tex]df = 25 - 1[/tex]
=> [tex]df = 24[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 24[/tex] is
[tex]t_{\frac{\alpha }{2} , 24 } = 3.0 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , 24} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 3.0 * \frac{3 }{\sqrt{25} }[/tex]
=> [tex]E =1.8 [/tex]
Gnerally the upper control chart limit for 99.7% confidence is mathematically represented as
[tex]UCL = \= x + E[/tex]
=> [tex]UCL = 9 + 1.8[/tex]
=> [tex]UCL = 10.8[/tex]
Plz Help!!!
Will Give Brainliest to the First Person that answers!!!
Answer:
20
Step-by-step explanation:
3/5+(-7/5)= can someone help me with this please
Answer:
[tex]-\frac{4}{5}[/tex]
Step-by-step explanation:
Because both of the fractions have a common denominator they can be subracted without any other work.
how can 52/9 be expressed as a decimal
Answer:
5.777777778
Step-by-step explanation:
:)
Please help me!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes
Total time touring Chicago = 4 hours 35 minutes
Since dinner reservation is at 5 :10 pm
Touring should start latest:
5:10 - 4 hours 35 minutes = 1 :35 pm
Please help me find out if there congruent