Answer:
A
Step-by-step explanation:
Hector has $590 in his account. He earned $15 per hour for x hours. Jeremy has $545 in his account. He earned $20 per hour for x hours. They both worked the same number of hours and now have the same amount of money. What is the number of hours that each person worked? Write and solve an equation.
Answer:
equation = 590 + 15x = 545 + 20x
No. of hours worked = 9
Step-by-step explanation:
Given that both worked for same number of hours
and
Jeremy worked for for x hours
it meant that Hector also worked for x hours(it is also mentioned same in the problem)
now that we know the number of hours worked in form of x
lets find
total money in their account if they worked for x hours
___________________________________________
For Hector
Money in Hector's account = $590
Earning for Hector in 1 hour = $15
Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x
Total money in with Hector after x hours of work
= Money in Hector's account + Earning for Hector in x hour = $590 + $15x
Similarly
For Jeremy
Money in Jeremys account = $545
Earning for Jeremy in 1 hour = $20
Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x
Total money in with Jeremy after x hours of work
= Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x
Given that they same amount of money
thus
$590 + $15x = $545 + $20x
$sign gets cancelled from both sides
590 + 15x = 545 + 20x Thus, we got the required equation
=> 590 - 545 = 20x - 15x
=> 45 = 5x
=> x = 45/5 = 9
Thus, both of them worked for 9 hours
PLZ HELP with this problem
Leah combines 6.54 ounces of strawberries with 6.09 ounces of blueberries to make fruit bowls. She pours the fruit equally into 3 bowls, and has 1.68 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
4.21 Ounces
Step-by-step explanation:
You first want to add 6.54 to 6.09 getting you an answer of 12.63 then you want to divide that by 3 which gets you an answer of: there are 4.21 ounces in each bowl.
Divide these polynomials.
(9x^3 + 9x^2 + 5x + 1) / (3x + 1)
Answer:
3x^2+2x+1
Step-by-step explanation:
Divide 9x^3+9x^2+5x+1 by 3x+1
Easy.
Sherry needs to have at least $1600 in her bank account at the end this month. She works at a restaurant where she earns $18 an
hour. This month she has to pay her car payment of $200. How many hours does Sherry need to work to save up enough money.
Answer: 100 hours
Step-by-step explanation:
She has to get a total of 1800 dollars. Since she works 18 dollars an hour, divide 1800 and 18.
1800/18 = 100 hours
A rectangle has side lengths of 2x - 1 and x + 1. If the rectangle's area is 90 square inches, what is its perimeter?
Answer:
39
Step-by-step explanation:
x=6.5
2(6.5)-1=12
6.5+1=7.5
12+12+7.5+7.5=39
Three times a number decreased by 5 is 16 .find the number
Answer:
The number is 7.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3x7=21 and 21-5=16
Paul runs 4.8 km every morning. How many feet are in 4.8 km?
Answer:
15748 feet
Step-by-step explanation:
There are 3280.8 feet in 1 km, and if we multiply that by 4.8, we get a result of about 15748 feet. Hope it helps!
Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$. If line $2$ represents the graph of $y=mx +b$, then find $m+b$.
Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
move the x to the right of the equation
4y = -3x - 14
divide the whole equation by 4
y = -3/4x - 14/4
Line 1 is y = -3/4x - 7/2
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
plug in the y, m, and x into the equation
7 = (4/3)(-5) + b
multiply the m and x together
7 = -20/3 + b
add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation
41/3 = b
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
is 104.25 a rational or irrational number
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on forever
The decimal number 104.25 is a rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The decimal number is given below.
⇒ 104.25
There are only two-digit after the decimal place which means the number gets terminated.
Then the decimal number 104.25 is a rational number.
More about the rational number link is given below.
https://brainly.com/question/9466779
#SPJ2
QUESTION 1: In Exercises 5–8, use the method illustrated in Example 2 to determine moving averages by subtraction and addition. Determine the 6-day SMA for the ten consecutive trading day closing prices for SunEdison Inc. Listed below. $2.65, $2.63, $2.70, $2.63, $2.50, $2.65, $2.66, $2.56, $2.52, $2.37 * 5 points
Answer:
The 6-day SMA for the ten consecutive trading day
= $2.63, $2.63, $2.62, $2.59, $2.54
Step-by-step explanation:
Determining the 6-day SMA for the given values
using the addition and subtraction methodology
First we will determine the Average closing prices for 1 - 6 days
= [tex]\frac{2.65 + 2.63 + 2.70 + 2.63 + 2.5 + 2.65}{6}[/tex] = 15.76 / 6 = $2.626 ≈ $2.63
next we have to determine the SMA for days 2 - 7
= 2.63 - [tex]\frac{2.65}{6} + \frac{2.66}{6}[/tex] = [tex]\frac{15.77}{6}[/tex] ≈ $2.63
SMA for days 3 - 8
= 2.63 - [tex]\frac{2.63}{6} +\frac{2.56}{6} = \frac{15.70}{6}[/tex] ≈ $2.62
SMA for days 4 - 9
= 2.62 - [tex]\frac{2.70}{6} + \frac{2.52}{6} = \frac{15.52}{6}[/tex] ≈ $2.59
SMA for days 5 - 10
= 2.59 - [tex]\frac{2.63}{6} + \frac{2.37}{6} = \frac{15.26}{6}[/tex] ≈ $2.54
Hence the 6-day SMA for the ten consecutive trading day
= $2.63, $2.63, $2.62, $2.59, $2.54
Willie won 125 lollipops playing hoops at
his school's game night. Later, he gave
four to each of his friends. He only has 1
remaining. How many friends does he
have?
Answer:
Step-by-step explanation:
Easiest way to do this is to work backwards.
If Willie only has 1 remaining lollipop, this means that he must've given a total of 124 lollipops to his friends. (125 - 1 = 124)
Then we know he gave 4 lollipops to each friend. So all you need to do is divide the total number of lollipops he gave to his friends (124) by how many he gave to each friend.
Number of friends = Total number of lollipops given to friends / Number of lollipops given to each friend.
Number of friends = [tex]\frac{124}{4} = ?[/tex]
A graph titled Health Club Rates has number of family members on the x-axis and Monthly cost (dollars) on the y-axis. For 2 family members, the cost is 84; 4 family members, 168; 6 family members, 252; 8 family members, 336.
Use the graph to find the unit rate.
$24 per person
$42 per person
$32 per person
$84 per person
Answer:
$42 per person
Step-by-step explanation:
I just did it and got it right.
Answer:
$42 per person
PQ is a straight line and RS is the perpendicular bisector of PQ.
Form two linear equations based on the diagram above.
2x + y = 90
2x +4y = 180
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One queso dip recipe calls for 4 pieces of cheese and 2 peppers. Hector triples the recipes when he makes queso for his family. How many pieces of cheese for every 1 pepper?
Answer:
2 pieces of cheese for 1 pepper.
After tripling it: 12:6
Step-by-step explanation:
Focus on the first sentence.
4 pieces of cheese to 2 peppers. Turn it to ratio.
4:2
Simplify:
2:1
So, for every 1 pepper, we have 2 pieces of cheese.
Chari deposits $5,000 in a savings account earning 5.75% simple interest per year. Part A How much interest will Chari earn for a period of 10 years
Answer:
2,875
Step-by-step explanation:
$5000 • 5.75% ( or 0.0575 ) = $2,875
Minute Math 10
Please help me.
Answer:
Step-by-step explanation:
1. False
2. True
3. False
4. 12/2, 8/8, 2^2
5. 0.375
6. Through the middle vertically
7. a
what determines the range of a function?
Answer:
all possible y values
Step-by-step explanation:
any y value that goes in the function is in the range , an easier way to determine that would be using graphs.
what is 542.070 rounded to the NEAREST tenth
Answer:
542.1
Step-by-step explanation:
you round up since 7 is above 5
Answer:
542.1
Step-by-step explanation:
Find the number in the tenth place 0 and look one place to the right for the rounding digit 7 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
my teacher told me to answer this it got complicated for me
Answer:
SOLUTION FOR A:
YOU NEED TO MULTIPLY THE VARIABLE FROM THE DENOMINATOR
SOLUTION FOR B:
MULTIPLY TO REMOVE THE VARIABLE FROM THE DENOMINATOR
THE ANSWERS FOR SOLVING FOR B AND A ARE IN THE SCREENSHOTS
yk i just rlly wanted to type in caps-
In a medical research study, a researcher selects a hospital and interviews
all the patients that day. Which sampling method is being used?
Answer:
vtgg
Step-by-step explanation:
A=1/2h(B+b); A=45, B=4, b=5
Can someone help me answer a question anybody I need help ASP
Step-by-step explanation:
yes i ccsan help but i dont know what your question is
the answer is 2.66 (continuous sixes)
is this what the question is?
At Penny's Pie Shop, it costs $4 for 1/4 of a pie. What is the cost of a whole pie? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
$16
Step-by-step explanation:
Answer: its was he/she said which $16
Step-by-step explanation: there is none :)
#answer please with work
Mario walked at a rate 2/3 miles every 10 minutes. What was his walking rate in miles per hour?
Answer:
12/18 every hour
Step-by-step explanation:
2/3 =10 minutes
4/6 = 20 minutes
6/9 = 30 minutes
8/12 = 40 minutes
10/15 =50 minutes
12/18 = 60 minutes
A restaurant charges $1.30 for one biscuit and two eggs it charges $2.15 for two biscuits in three eggs what is the cost of one biscuit and one egg
Answer:
$1.85
Step-by-step explanation:
2.15
-1.30
--------
1.85
Per ounce
or 20 shells $9.27 for 48 oz.
$4.
0.15
au
shell
Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'? A. rotation 180° clockwise about the origin followed by a reflection across the line y = -x B. reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin C. reflection across the y-axis followed by a rotation 90° clockwise about the origin D. reflection across the x-axis followed by a reflection across the y-axis E. reflection across the line y = x
Answer:
A
Step-by-step explanation:
reflection across the x-axis followed by a reflection across the y-axis
One pound of apples is $2. You have no more than $13 to spend on apples
Answer:
You are able to by 6 apples with $1.00 dollars remaining.
Step-by-step explanation:
I'm not sure what you were trying to ask because you didn't leave a question in the statement you provided
Answer:
You can buy 6 pounds of apples.
Step-by-step explanation:
13 is an odd number, so we find the closest even number that doesn't go over 13. That number is 12. Then, we take 12 and divide it by 2, since $2 is how much a pound of apples cost. 12 divided by 2 is 6. So, our answer is 6 pounds of apples.
Hope this helped you!
Which of the following best describes the slope of the line below
O A. Positive
B. Negative
C. Zero
D. Undefined
Answer:
zero letter c
Step-by-step explanation:
it is c also hey