Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many favors can she make?
Answer:
13 favors
Step-by-step explanation:
Roll of ribbon = 4 1/3 feet long.
favor = 1/3 feet of ribbon
How many favors can she make?
Number of favors = Total roll of ribbon / length of each favors
= 4 1/3 feet ÷ 1/3 feet
= 13 / 3 × 3 / 1
= (13 × 3) / (3 × 1)
= 39 / 3
= 13
Number of favors = 13
Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet
Slope of (2,8) and (2,6)
A cab company charges $3.10 flat rate in addition to $0.85 per mile. Rex has no more than $15 to spend on a ride. Write an inequality that represents Rex's situation. How many miles can Rex travel without exceeding his limit? Round off your answer to nearest tenth.
Answer:
Step-by-step explanation:
Let the total number of miles Rex can travel be x;
If a cab company charges $0.85 per mile, then x miles will cost $0.85x
If the flat rate rate charge is $3.10, the total price for x miles will be;
0.85x + 3.10
Since Rex has no more than $15 to spend on a ride, the inequality to represent the equation will be;
0.85x + 3.10 ≤ 15 (less than or equal to means that the total value cannot exceed $15)
Next is to solve for x
Given
0.85x + 3.10 ≤ 15
subtract 3.10 from both sides
0.85x + 3.10-3.10 ≤ 15-3.10
0.85x ≤ 15-3.10
0.85x ≤ 11.90
x ≤ 11.90/0.85
x ≤ 14
This means that Rex can travel 14 miles without exceeding his limit
Answer:
[tex]3.10 + 0.85m \leq 15[/tex]
[tex]m \leq 14.0[/tex]
Step-by-step explanation:
Given
[tex]Flat\ Rate = \$3.10[/tex]
[tex]Addition = \$0.85[/tex] (per mile)
[tex]Maximum\ Amount = \$15[/tex]
Required
Determine the inequality that represents the scenario and solve
Let the number of miles be represented by m.
The company's charges can be calculated using:
[tex]Flat\ Rate + Additional\ Charges * m[/tex]
Substitute values
[tex]\$3.10 + \$0.85 * m[/tex]
Rex can't exceed $15 implies that the company's charges can't exceed Rex's budget.
This is expressed as:
[tex]\$3.10 + \$0.85 * m \leq \$15[/tex]
[tex]\$3.10 + \$0.85m \leq \$15[/tex]
[tex]3.10 + 0.85m \leq 15[/tex] ---- The inequality
Solving for m: Collect Like Terms
[tex]0.85m \leq 15 - 3.10[/tex]
[tex]0.85m \leq 11.9[/tex]
Divide through by 0.85
[tex]m \leq 11.9/0.85[/tex]
[tex]m \leq 14.0[/tex] ---- The solution
Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that results if P is reflected in the x-axis, and translated 1 unit to the left and 3 units up.
9514 1404 393
Answer:
y = -(x+1)^2 +3
Step-by-step explanation:
Translating f(x) left by 1 unit replaces x with x+1.
Translating f(x) up by 3 units replaces f(x) with f(x)+3.
Reflecting f(x) over the x-axis replaces f(x) with -f(x).
__
When y = x^2 is reflected over the x-axis, it becomes ...
y = -x^2
When y = -x^2 is translated 1 unit left, it becomes ...
y = -(x +1)^2
When y = -(x+1)^2 is translated 3 units up, it becomes ...
y = -(x +1)^2 +3
∆CDE is an isosceles triangle with CD ≅ DE . If CD = 9x – 25, DE = 6x + 8, and CE = 10x – 73, find x
Answer:Answer: The value of x is 11 and the measure of each sides are, 74 cm,74 cm and 37 cm. Explanation: It is given that in triangle CDE is an isosceles triangle with CD congruent to DE. If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73.
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
Which of the following relations is a function?
OA. (9,-10).(-8, 7), (9,6), (-8, 12)
OB. (-8, 0), (-1,5). (-8, -3), (5,9)
OC. (-1,-2), (-8,-5), (5,8). (5,2)
OD. (-8,2).(-1,3), (5,7), (9,2)
Factor
1 out of -x +6
The factored expression is
Answer:
6+f=21
Step-by-step explanation:
If a cotton candy vendor has 16 blue cones which is 50% of the total number of cones, then how many TOTAL cones does he have i need answers FAST like before the end of the week
Answer:
He has a total of 32 cones
Step-by-step explanation:
Stephanie started selling earrings online at a handmade shop. She makes a profit of $8.50 on each pair of earrings. If she wants to make a profit of no less than $765 this month, how many pairs of earrings does she need to sell? Write and solve an inequality to model this solution.
Answer:
90 pairs
Step-by-step explanation:
We can use clues from the problem in order to set up our inequality.
First, we know that a pair of earrings, [tex]p[/tex], costs $8.50. So, we can say that [tex]8.5p=[/tex] total profit.
That's a function we could use, but we need an inequality. Well, it says that Stephanie wants to make no less, or at least $765. This indicates that we need the 'greater than or equal to' symbol. Just replace the equal sign:
[tex]8.5p\geq 765[/tex]
Now we can isolate [tex]p[/tex] to find how many earrings she needs to sell to make a profit of at least $765.
[tex]8.5p\geq 765\\\\p\geq \frac{765}{8.5}\\\\p\geq 90[/tex]
Stephanie needs to sell at least 90 pairs of earrings.
Hope this helps!
You plan to invest $100 per month for the next 10 years into an account that pays 8% with daily compounding. How much will you have in the account in 10 years?
Answer:
FV= $18,213.18
Step-by-step explanation:
First, we need to calculate the monthly real interest rate:
Daily interest rate= 0.08/360= 0.00022
Monthly interest rate= (1.00022^30) - 1
Monthly interest rate= 0.0066
Assuming a year of 360 days, and months of 30 days.
Now, we can determine the future value of the investment:
Monthly deposit= $100
Number of periods= 10*12= 120
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.0066^120) - 1]} / 0.0066
FV= $18,213.18
HELP! will give brainliest!!! The United States released 5.877 billion metric tons of carbon
dioxide into the environment through the burning of fossil fuels in a recent year. If
1 trillion pounds = 0.4536 billion metric tons, how many trillion pounds of carbon
dioxide did the United States release in that year?
Answer:
13.0 trillion pounds of carbon dioxide
Step-by-step explanation:
5.877 ÷ 0.4536 = 12.9563492063
rounded to 1 decimal place =
13.0 trillion pounds of carbon dioxide
The carbon dioxide released by United States is 12.9563 trillion pounds
What is conversion?In math, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons.
Now it is given that,
Amount of carbon dioxide released by United States = 5.877 billion metric tons
It is also given that,
1 trillion pounds = 0.4536 billion metric tons
So, 1 billion metric tons = (1/0.4536) trillion pounds
Thus, 5.877 billion metric tons = (5.877/0.4536) trillion pounds
⇒ 5.877 billion metric tons = 12.9563 trillion pounds
Thus, the carbon dioxide released by United States is 12.9563 trillion pounds
To learn more abut conversion:
https://brainly.com/question/12681461
#SPJ2
1.)which of the following actions is NOT a form of transformation
a.) Reflection
b.) Rotation
c.) Dilation
d.) Draw
2.) If two shapes are congruent they must have...
a.) the right angle
b.) the same area
c.) the same perimeter
d.) the same shape and size
3.) If two shapes have the same area and perimeter....
a.) then the two shapes must be congruent
b.) then the two shapes have the same size
c.) the two shapes may not be congruent
d.) then the two shapes have four sides
Answer:
1. d
2. d
3. c
explanation
1. reflection, rotation, and dilations are all transformations
2. congruent shapes have to have the same shape and size, meaning they also have the same angle measures
3. sometimes, shapes may have the same area and perimeter but be different
Which transformation shows a rigid motion help ASAP
Answer:
d
Step-by-step explanation:
Because it looks rigid
4x-3=2x+7 solve the equation
Answer:
First collect like terms
4x-2x=7+3
6x=10
x=10/6
x=1.66666666667
x=1.67
Step-by-step explanation:
Please give me brainliest
Annie is participating in a winner-take-all World Series of Poker tournament that costs 101010 thousand dollars to enter. The prize for winning the tournament is 500500500 thousand dollars. Annie estimates that there is a 0.5 \%0.5%0, point, 5, percent chance that she will win the tournament. Find the expected value of entering the tournament for Annie.
Answer: −7.5 thousand dollars
Step-by-step explanation: Khan Academy
Using the expected value formulae, the expected value of Annie entering the tournament is -$7950
Creating a probability distribution table :
Net amount won = (500 - 100) = 400 thousand
Amount lost = 100 thousand
X ___ : - 10,000 ____ 400,000
P(X) _ : __ 0.995 _______ 0.005
Using the expected value formulae:
E(X) = Σ[X × P(X)]E(X) = (0.995 × - 10,000) + (0.005 × 400,000)
E(X) = - 9950 + 2000
E(X) = -7950
Hence, the expected value of entering the tournament is -$7950
Learn more : https://brainly.com/question/19236072
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
PLS I RLLY NEED HELP I MIGHT GIVE BRAINLIEST Just pls help
What is the equation in slope-intercept form of a line that is perpendicular to y=1/3x+2 and passes through the point (3, 1)?
A) y= 3x - 10
B) y=-3x + 10
C) y=-1/3x+2
D) y= 1/3x - 10
Answer:
y=3x-7
step by step explaination:
Answer:
not an answer but nice pfp
I need help solving for x
Hellpp ⚠️⚠️
What is the square root of -16?
A -8i
B -4i
C 4i
D8i
Answer:
4i
Step-by-step explanation:
c or b i hope i helped you have a good day
Solve 6w – 2 ≤ 10 for w.
Answer:
w greater than 2
Step-by-step explanation:
Hi, this isn't a math question or anything. But I have a question about high schools. So I have all A's for my first marking period and one C for an enirchnment. But do you think I could get into a good high school like Central? Also, I'm not taking the PSSA or big tests. Also, I'm in 7th grade if your wondering.
Answer:
Depends on your GPA
Step-by-step explanation:
Need help asap please!
Answer:
Step-by-step explanation:
-2/3x ≥ -x -2
-2/3x ≥ -x -2 +x
Simplify
1/3x ≥ -2
3 · 1/3x ≥ 3(-2)
x ≥ -6
I hope this is correct
At a farming supply store 7 pounds of seed cost $153.37. If a farmer needed 4 pounds of seeds, how much would it cost him?
My grandfather is shrinking. He decreases in size 1/4 cm each year. What is his total change in height over 5 years. Write your answer using negative numbers
Answer:
That old mans change in height is -1 1/4 over 5 years.
Step-by-step explanation:
Answer:
-5/4 cm would be the answer.
Step-by-step explanation
This is the answer because -1/4 cm multiplied by 5 years would equal -5/4 cm.
A blueprint for a house has a scale of 1:30. A wall in the blueprint is 3 in. What is the length of the actual wall?
30
60
90
120
Answer:
C.90
Step-by-step explanation:
1 inch = 30
30 * 3 = 90
Kevin is choosing between two cell phone plans that offer the same amount of free minutes. AT&T’s plan charges $19.99 per month with additional minutes costing $0.35. Verizon’s plan costs $34.99 with additional minutes at $0.30. How many additional minutes, a, will it take for the two plans to cost the same? *
Answer:
300 minutesStep-by-step explanation:
Step one:
Given data
AT&T’s plan
monthly charge= $19.99
additional charge per minute= $0.35
let the number of minutes be x
let the total charges be
y=0.35x+19.99----------1
Verizon’s plan
monthly charge= $34.99
additional charge per minute= $0.3
let the number of minutes be x
let the total charges be
y=0.3x+34.99----------2
Step two:
equating the two equations above we have
0.35x+19.99=0.3x+34.99
collect like terms
0.35x-0.3x=34.99-19.99
0.05x=15
divide both sides by 0.05
x=15/0.05
x=300
For the two plans to cost the same, it will take 300 minutes
Answer:
300 Minutes
Step-by-step explanation:
A perimeter of a square field is 20cm. what is the area of the field?
Select one:
a. 25cm2
b. 16cm2
c. 12cm2
d. 48cm2
The area will be 25cm²
HOPE IT HELPS YOU♡♡
Prove that ABCD is a rectangle.
A = (-4, 4)
B = (0,5)
C = (1, 1)
D = (-3,0)
Answer:
Draw it on a graph sheet
How do I do this? And what’s the answer??
Answer:
its asking you what the slope of the line is (rise/run) and for the point at which the line crosses the y axis (verticle line)
Step-by-step explanation:
When finding the slope you count the number of units up and the number of units across. This would be -1/1 or -1 because the graph shows a scale of 100, and the slope is going down 100, and across 100. this makes the slope negative since it's going downwards. so the slope would be -100/100 which would simplify to -1.
the y-intercept is where the line crosses the y axis. if this point is below the x-axis, then the y-intercept would be negative. in this problem however, the line crosses the y-axis at the origin (0,0)
so your equation would be y=1x+0, but simplified it would be y=x (the one isnt used because there is a single x value and the +0 is gone because it holds no value)
Elina is gathering up change she has saved. She has a total of $2.60. All of her change is in either nickles, dimes, or quarters. She has twice as many dimes as quarters and two less quarters than nickles. Is it possible that she has eight dimes, four quarters, and six nickels? Explain.
Answer:
sadsadwsd
Step-by-step explanation: