Answer:
Step-by-step explanation:
Given the question
A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.
Options
The stated solution is correct (lengths of 16 feet and 8 feet).
Based on the way the variable is defined, the equation should be x + 2x = 24.
The equation is written correctly, but there is an error in solving the equation.
The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
2
Let the length of one piece be x (shorter piece) and the other be y.
If the rope is cut into two pieces and 24ft long, then;
x+y = 24.......... 1
If one piece is half the length of the other, then x = y/2..... 2
substitute equation 2 into 1
y/2 + y = 24
take the LCM
y+2y/2 = 24
3y/2 = 24
cross multiply
3y = 48
Divide both sides by 3;
3y/3 = 48/3
y = 16 feet
Since x = y/2
x = 16/2
x = 8 feet
Based on the calculation above, I can conclude that;
- The student stated solution is correct (lengths of 16 feet and 8 feet)
- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
- Based on the way the variable is defined, the equation should be x + 2x = 24.
Victoria is making punch for a school party. The recipe calls for 2 cups of lemonade
Answer:
4 4 4 + 5 5 5
Step-by-step explanation:
help pleaseeeeeeeeeeeeee now
Answer: per 1 ticket sold it costs 10 dollars
Step-by-step explanation:
1 and ten meet on the graph constantly
givenf(x)=10(6-x), what is the value of f(-2)
Answer:
80
Step-by-step explanation:
f(x)= 10(6-x) original equation
y= 10(6-(-2) plug in variable
y= 10 (6+2) simplify
y= 10(8)
y= 80
Manit has been working with the function
[tex]f(x) = a(x - h)3 + k[/tex]
He chose values for a, h, and k, graphing the function, and then chose just one of those parameters to change. Each time he changed the parameters, he graphed the function again. But he can't remember which parameter he changed. Was it a, h, or k? Determine which parameter he was working with and justify your decision.
Answer:
a
Step-by-step explanation:
Someone please help me
Answer: 102 degrees
Answer:
102
Step-by-step explanation
A straight line is 180, half of 360. So if you have 78, you subtract it from 180 to get 102.
This is due in ten mins help plz
A map shows a section of Interstate 94 that forms a straight line. A family plans to drive 72 miles on Interstate 94 from St Paul, MN to Elk Mound, WI. They drive for 20 miles, and then decide they will stop halfway through their trip to eat. How much farther do they need to drive before they stop for dinner?
Answer:
16 miles
Step-by-step explanation:
Given that:
Total distance of the trip = 72 miles
They have decided to stop half way their trip i.e. they will stop at a distance [tex]\frac{72}{2} =36[/tex] miles from the starting point.
Also, given that they have already traveled for 20 miles.
To find:
How much farther do they need to drive before they stop for dinner?
Solution:
Distance already covered = 20 miles
Distance to be covered before stopping for dinner = 36 miles
Distance to be covered more = Total distance to be covered before stopping - Distance already covered
[tex]\Rightarrow 36-20 =\bold{16\ miles}[/tex]
2(x - 4) = 4(x + 8)
6
0-6
020
-20
The table below shows the cost per pound of different vegetables.
Prices of Vegetables
Vegetable
Cost (per pound)
Potatoes
$3.89
Squash
$4.68
Carrots
$1.67
Cucumbers
$2.59
What is the estimated cost for 7.8 pounds of potatoes?
$16
$24
$32
$40
Answer:
16
Step-by-step explanation:
i got it right on the test
Answer:
16...
hope, it helps! x
#1 Describe the translation of the point to its image.
(-15, 22) - (25, 15)
type here
Answer:
40 units to the right and 7 units down
Answer for B
(3/4)b - (2/3)b = -9
Answer: b = -108
Explanation: (¾)b - (⅔)b = -9 b = -108
Plz mark brainliest:)
please help me find out the answer in this picture :)
Answer:
The answer is "d" x= r-p / g
Step-by-step explanation:
First let's get rid of the "p" term on the left-side. After you've done that, you have to get rid of the g term. So you divide the x term by the g-term, you do this to both sides.
Help THIS IS DUE IN LESS THAN A HOUR
Take that back, please delete this question.
Answer:
i beleive its b or d
Step-by-step explanation:
mostly b
Round 345.273 to the nearest hundredth.
Answer:
345.270
Step-by-step explanation:
i think that's right
Answer:
Step-by-step explanation:
underline the hundreth and then look at the place next to it and then if it is 5 or more then go to the next hundredth if it's less than 5 than the number stays the same
Are all imaginary numbers like terms
It’s a test question.
Answer:
A # is odd
Step-by-step explanation:
Hypothesis-----> conclusion
Devon earns $35 per hour for a regular 40-hour work week. Sometimes, he works over 40 hours a week and earns "double time" for the extra hours worked. (That means that his hourly rate for the additional hours over 40 hours per week is double his normal hourly rate.) If Devon works 48 hours in one week, how much would he earn that week?
Answer:
1960
Step-by-step explanation:
40 times 35 = 1400
8 times 2 times 35 = 560
1400+560=1,960$
When Devon works for 48 hours in one week the total amount he earned that week is equal to $1960.
To calculate Devon's earnings for the week when he works 48 hours,
Consider his regular pay for the first 40 hours and then the "double time" pay for the additional 8 hours.
Regular pay for 40 hours: Devon earns $35 per hour for a regular 40-hour work week.
Regular pay = $35/hour × 40 hours = $1400
Overtime pay for the additional 8 hours: Devon works 48 hours in total, so he works 8 hours over the regular 40-hour work week.
For these 8 hours, he earns "double time," which means his hourly rate is doubled.
Double time rate = 2 × $35 = $70/hour
Overtime pay
= Double time rate × Number of overtime hours
= $70/hour × 8 hours
= $560
Total earnings for the week: To find the total amount earned in the week, add the regular pay and the overtime pay.
Total earnings
= Regular pay + Overtime pay
= $1400 + $560
= $1960
Therefore, if Devon works 48 hours in one week, he would earn $1960 that week.
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4+7a=12+8a
with steps pls
Answer:a=-8
Step-by-step explanation:
4+7a=12+8a
So first you want to have the variables on the same side
4+7a-7a=12+8a-7a
This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes
4=12+a
Now there are two ways of doing this.
1. 4-12=12-12+a
You moved the 12 to the left side so you have the same variable on one side
4-12=-8
So then a=-8
Or
2. 4-4=12-4+a
0=8+a
then you would have to subtract 8 to keep 'a' by itself
-8=8-8+a
simplify it
-8=a
same thing
A video game console uses 154 watt-hours of energy each hour. The console was used 276 hours last year. How many watt-hours of energy did the console use?
Answer:
The console was used 42,504 watt-hours of energy last year
Step-by-step explanation:
video game console uses 154 watt-hours of energy each hour
The console was used 276 hours last year.
How many watt-hours of energy did the console use?
Watt hours of energy used = 154 × 276
= 42,504 watt-hours of energy
The console was used 42,504 watt-hours of energy last year
Your generation will likely be most affected by these changes. Active or passive? HELP NEEDED ASAP WILL GIVE BRAINLIEST
Answer:
Passive
Step-by-step explanation:
Active voice means that a sentence has a subject that acts upon its verb. Passive voice means that a subject is a recipient of a verb's action.
A new underground rollercoaster is being installed. The height of the rollercoaster in feet throughout the underground section is modeled by the equation h(d) = 0.15d2 – 1.5d, where d represents horizontal distance in feet. What's the height of the rollercoaster 6 feet horizontally through the underground section?
Answer:
3.6 feet
Step-by-step explanation:
The height of the rollercoaster in feet throughout the underground section is modeled by the equation :
[tex]h(d) = 0.15d^2 - 1.5d[/tex] ....(1)
We need to find the height of the rollercoaster 6 feet horizontally through the underground section.
Put d = 6 feet in equation (1) as follows :
[tex]h(6) = 0.15(6)^2 - 1.5(6)\\\\h=-3.6\ \text{feet}[/tex]
or
h = 3.6 feet
So, the height of the rollercoaster 6 feet horizontal through the underground section is 3.6 feet.
Answer:
3.75 feet
Step-by-step explanation:
A company orders 9 boxed lunches from a deli for $96.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer:
$10.75
Step-by-step explanation:
calculator
Answer:
10.75 for deltamath
Use the formula C = 5 (F – 32). To determine which temperature is hotter.
30° Celsius or 85° Fahrenheit. Write just the number as your answer.
Answer:
Step-by-step explanation:
The formula u have written is incorrect. It should be C = [5 (F-32)]÷9.
To identify which is hotter, you need to bring both the values either in celsius or in Fahrenheit.
Let's convert 85°F to celsius:
C = [5 ( F - 32 )] ÷ 9
C = [5 ( 85-32 )] ÷ 9
C = [5 (53)] ÷ 9
C = 29.4 °C
thus 30°C is hotter than 85°F
A school has 625 students and 25 teachers. Which of these statements is true based on this information? A) The school has a ratio of 5 students to 1 teacher. B) The school has a ratio of 5 teachers to 1 student. C) The school has a ratio of 25 students to 1 teacher. D) The school has a ratio of 25 teachers to 1 student.
The statement that is true based on the information that a school has 625 students and 25 teachers is that the school has a ratio of 25 students to 1 teacher.
According to the question,
We have the following information:
A school has 625 students and 25 teachers.
Now, we have to find the ratio using the given information.
Ratio of students to the teachers can be better understood in simple terms as the number of the students divided by the number of the teachers.
Ratio of students to the teachers = Number of students : number of teachers
Ratio of students to the teachers = 625:25
Dividing both the numbers by 25,
Ratio of students to the teachers = 25:1
So, the school has a ratio of 25 students to 1 teacher.
Hence, the correct option is C.
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A line crosses through the points (0,2) and (-10, -16) Which of the following is the slope of the line?
A
[tex] \binom{9}{5} [/tex]
b
[tex] - \binom{9}{5} [/tex]
c
[tex] \binom{1} {3} [/tex]
d
[tex] \binom{5}{9} [/tex]
Answer:
9/5
Step-by-step explanation:
The slope between the two points can be found by ...
m = (y2 -y1)/(x2 -x1)
m = (-16-2)/(-10-0) = -18/-10
m = 9/5
The slope of the line is 9/5. Perhaps this is a match to choice A.
Answer: 9/5
m = (y2 -y1)/(x2 -x1)
m = (-16-2)/(-10-0) = -18/-10
m = 9/5
At Dorothy's Hair Salon, 4 gallons of shampoo will last 3 weeks. She has 7 gallons of shampoo. How much more must she order if she wants to have enough for 12 weeks?
Answer: 4x4=16-7=9gallons
She will order 9 gallons
Step-by-step explanation:
What is the length of AC
Answer: The length of AC is 6.
Might as well make it right lol ;)
Given y=15x+4, write the equation of the line perpendicular to the given line that contains point (-2, 3). (10 points)
You must show all work neat and organized! No work! No credit! Final answer should be in slope-intercept form.
FOR 5 EXTRA CREDIT POINTS - CONVERT YOUR FINAL ANSWER INTO STANDARD FORM!
plz help
Answer:
y= -1/15x + 43/15
x + 15y = 43
Step-by-step explanation:
See attachment.
Q1.
Kristen buys a laptop.
She gets a discount of 20% off the normal price.
Kristen pays £480 for the laptop.
Work out the discount. Give your answer in pounds.
Answer:
320$
Step-by-step explanation:
monay cash burngert
determine the vertex of the function y=|x+5|-2
