Answer:
(p-2l)/2 = w
Step-by-step explanation:
p=2l+2w
We want to solve for w.
The first step is to subtract 2l from each side
p-2l=2l-2l+2w
p-2l=2w
Then we will divide each side by 2 to isolate w
(p-2l)/2 = 2w/2
(p-2l)/2 = w
Which quantity is proportional to 35⁄80?
I believe this is the answer
7/16
Answer:
7/16
Step-by-step explanation:
Well the biggest number that is divisible by 35 and 80 is 5
Subtract t2 + 5t - 6 from t2 - 8t - 7.
A)
13t - 1
B)
13t + 13
C)
−13t - 1
D)
−13t + 13
Answer:
C
Step-by-step explanation:
t² - 8t - 7 - (t² + 5t - 6)
= t² - 8t - 7 - t² - 5t + 6 ( collect like terms )
= - 13t - 1 → C
Answer: C) −13t - 1
Step-by-step explanation: usatestprep approved
Of the total number of pages in a book, 62% have pictures and the rest have no pictures. There are 310 pages with pictures in the book. What is the total number of pages in the book? How many pages in the book have no pictures?
Answer:
500 total pages. 190 pages with no pictures.
Step-by-step explanation:
310 is 0.62 of the total pages. 310 divided bye 0.62 is 500.
500 minus 310 is 190 pages with no pictures.
Hope this helps!
What is the approximate volume of the cylinder. Use 3.14 for TT
A.) 1,017.36 cm^3
B.) 452.16 cm^3
C.) 113.04 cm^3
D.) 226.08 cm^3
Answer:
I BELIEVE ITS B
Step-by-step explanation:
Answer: 452.16
Step-by-step explanation:
which equation describes the line which passes through the points (0. 17, 0) and (0, 0.51)
The equation of the line passing through the points (0, 17) and (0, 0.51) is x = 0.
Explanation:The equation of the line that passes through the points (0, 17) and (0, 0.51) can be found using the slope-intercept form of a linear equation, which is y = mx + b. To find the slope (m), we use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the given points, we get m = (0.51 - 17) / (0 - 0) = -16.49 / 0, which is undefined.Since the slope is undefined, we cannot write the equation in the slope-intercept form.However, we can write the equation as x = 0, since the line passes through the x-coordinate of both points.
15. You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?
The total amount you would pay at the physical store after all discounts, taxes, and fees have been applied is [tex]{128.36} \)[/tex].
Let's go through the calculations again to find the final cost at the physical store after all discounts, taxes, and fees.
Physical Store Pricing:
- Batteries: 2 packs at $5.99/pack
- Stereo: 1 system at $100.00
- CDs: 3 CDs at $7.95 each
Discounts and Taxes in the Physical Store:
1. 10% Off Coupon: This coupon applies to the total purchase amount before tax.
2. Sales Tax: 5% sales tax applies to the total purchase amount after applying discounts.
Calculation Steps:
Step 1: Calculate the total cost of items before discounts and tax:
- Batteries: 2 packs × $5.99/pack = $11.98
- Stereo: $100.00
- CDs: 3 CDs × $7.95/CD = $23.85
Total before discounts: $11.98 + $100.00 + $23.85 = $135.83
Step 2: Apply the 10% off coupon:
- 10% of $135.83 = $13.583
- Total after 10% off: $135.83 - $13.583 = $122.247
Rounded to two decimal places: $122.25
Step 3: Apply the 5% sales tax:
- 5% sales tax on $122.25:
[tex]\[0.05 \times 122.25 = 6.1125\][/tex]
Rounded to two decimal places: $6.11
Step 4: Calculate the final cost at the physical store:
- Total cost after tax: $122.25 + $6.11 = $128.36
The complete question is
You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?
Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD
how do you get better at slope.
Answer:
Use the slope formula.
Step-by-step explanation:
Input your x and y values to this:
(x - x1)/(y-y1) = m
About Slope: Rise
Run
Steepness of the linePositive Slope: Line goes upNegative Slope: Line goes downBigger than 1: SteepFraction: Bunny Slope- Not SteepIf the slope is negative, you go down/leftIf the slope is positive, you go up/rightHi!!! If you still need more help, ASK!!! :) Hope this info helps you!!! :)
I bought 4 hamburgers and 3 fries for $14.25 and the next day I bought 3 hamburgers and 5 fries for $15.50 find out the price for each hamburger and fry
Answer:
The cost of a hamburger is 2.25
The cost of fries is 1.75
Step-by-step explanation:
Let h = cost of hamburgers
let f= cost of fries
4h + 3f = 14.25
3h+5f = 15.50
I will solve these by elimination
Multiply the 1st equation by 3
3(4h + 3f )= (14.25)3
12h +9f = 42.75
Multiply the 2nd equation by -4
-4(3h+5f )= -4(15.50)
-12h - 20f = -62
Add the modified equations together
12h +9f = 42.75
-12h - 20f = -62
----------------------------
-11 f = -19.25
Divide each side by -11
-11f/-11 = -19.25/-11
f = 1.75
Now we need to find the cost of the hamburger
3h+5f = 15.50
Substitute the cost of the fries in
3h + 5(1.75) = 15.50
3h +8.75 + 15.50
Subtract 8.75 from each side
3h = 15.5-8.75
3h =6.75
Divide by 3
3h/3 =6.75/3
h = 2.25
If one side of a rectangle is three less than the other side and the perimeter is 46 inches, find the area of the rectangle.
[tex]a-one\ side\ of\ rectangle\\a+3-other\ side\ of\ rectangle\\2a+2(a+3)=2a+2a+6=4a+6-the\ perimeter\\46\ in-the\ perimeter\\\\\text{The equation:}\\\\4a+6=46\qquad\text{subtract 6 from both sides}\\\\4a=40\qquad\text{divide both sides by 4}\\\\a=10\\\\a+3=10+3=13\\\\\text{Dimensions of the rectangle:}\ 10\ in\ \times\ 13\ in.\\\\\text{The area of the rectangle:}\\\\\boxed{A=10\cdot13=130\ in^2}[/tex]
Regal Cinemas is selling tickets for the movie “Ghostbusters”. Tomorrow night , there are 73 tickets left to sell. If all the tickets are sold for the same price , the movie theater will make $438. Which of the following students have enough money to buy a ticket?
a. Amanda has $4.50.
b. Bernie has $7.00.
c. Chrissy has $6.50.
d. Dina has $6.00.
e. Evan has $5.00.
f. Frank has $14.00.
Who has enough money to go to the movie? ( write names below )
Answer:
Bernie, Chrissy, Dina and Frank
Step-by-step explanation:
if all 73 tickers are sold, the theatre makes $438 so each ticket is worth $438/73
this equals to $6.00 for one ticket
this means that Bernie, Chrissy, Dina and Frank have enough money to see the movie
Answer:
Bernie, Chrissy, Dina, and Frank are able to go.
Step-by-step explanation:
The question is not entirely clear. I take it that 73 tickets will bring in 438 dollars. If that is so, each ticket is selling for the solution of this proportion.
x / 1 = 438/73 Just do the division on the right
x = 6.00 dollars.
So Amanda will not be able to go.
Even will not be able to go.
Everyone else can.
bryan says all prime numbers are odd numbers list all the prime numbers less than 20 in a numerical order
Prime numbers less than 20 in numerical order are 2, 3, 5, 7, 11, 13, 17, and 19. Note that 2 is the only even prime number.
Explanation:Bryan's statement that all prime numbers are odd numbers is not entirely correct. By definition, prime numbers are numbers that have only two distinct positive divisors: 1 and the number itself. Therefore, the number 2 is considered a prime number, despite being even. Listing all the prime numbers less than 20, we have:
235711131719Note that apart from 2, all other prime numbers are indeed odd numbers.
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The height y (in feet) of a toss in bocce ball can be modeled by y=-x^2+4x, where x is the horizontal distance (in feet)
Interpret the x-intercepts of the graph of the equation.
How far does the bocce ball land on the ground?
The x-intercepts of the equation represent the points where the height of the toss is equal to 0. The bocce ball lands on the ground at a horizontal distance of 0 feet and 4 feet.
Explanation:The x-intercepts of the graph of the equation represent the points where the height of the toss is equal to 0.
In other words, these points represent the horizontal distance where the bocce ball lands on the ground.
o find the x-intercepts, we set y=0 and solve the equation:
0=-x^2+4x
x(x-4)=0
Therefore, the x-intercepts are x=0 and x=4.
This means that the bocce ball lands on the ground at a horizontal distance of 0 feet and 4 feet.
The rule at Anna's house is that if she eats all of her vegetables and does all of her does each day, she earns 2 hours of Internet time which she can save. Anna started her week with 3 hours saved. If she eats all of her vegetables and does all of her chores each day for 4 days straight how many hours does she have after the four days she uses 6 hours of her internet time
Answer:
5 Hours
Step-by-step explanation:
Given :- 2 hours can be earned each day if she eats all of her vegetables and does all of her chores.
Saved hours at the start of the week = 3 hours
Hours earned in 4 days = 2 hours × 4
= 8 hours
Hours used in 4 days = 6 hours
Hours left after 4 days = Saved hours at the start of the week + Hours earned in 4 days - Hours used in 4 days
Hours left after 4 days = 3 + 8 - 6
= 5 hours
Amanda is riding her bicycle. She takes 5 hours to ride 62.5 kilometers. What is her speed?
Answer:
12.5 per kilometers
Step-by-step explanation:
to find speed is going to be distance divided by time so 62.5/5
so her speed is going to be 12.5
Amanda's average speed while riding her bicycle is found by dividing the total distance of 62.5 kilometers by the total time of 5 hours, resulting in an average speed of 12.5 kilometers per hour.
To calculate her speed, we use the formula for speed, which is speed = distance ÷ time. Applying the given values, we have speed = 62.5 kilometers ÷ 5 hours.
Therefore, Amanda's average speed is 12.5 kilometers per hour. This calculation involves dividing the total distance traveled by the total time taken, resulting in the average speed over the journey.
On order for two triangles to be similar, all corresponding pairs of angles be
Answer: similar
Step-by-step explanation:
Answer:
Answer is similar
Step-by-step explanation:
which of the following is not an example of a rate 2 cup for every 3 cups 120 beats per minute 16 ounces for $2 8 inches per 12 hours
a) 2/3 divided by 1/4 b) 7/5 multiply by 8 c) 2/5-1/3 d)3/10+2 7/12
[tex]a)\\\dfrac{2}{3}\div\dfrac{1}{4}=\dfrac{2}{3}\cdot\dfrac{4}{1}=\dfrac{8}{3}=2\dfrac{2}{3}\\\\b)\\\dfrac{7}{5}\cdot8=\dfrac{56}{5}=11\dfrac{1}{5}\\\\c)\\\dfrac{2}{5}-\dfrac{1}{3}\\\text{common denominator is (5)(3) = 15}\\\\\dfrac{2\cdot3}{5\cdot3}-\dfrac{1\cdot5}{3\cdot5}=\dfrac{6}{15}-\dfrac{5}{15}=\dfrac{1}{15}\\\\d)\\\dfrac{3}{10}+2\dfrac{7}{12}\\\text{common denominator is 60}\\\\\dfrac{3\cdot6}{10\cdot6}+2\dfrac{7\cdot5}{12\cdot5}=\dfrac{18}{60}+2\dfrac{35}{60}=2\dfrac{53}{60}[/tex]
what is the inverse of the function x + 2y + 3 = 0
The inverse of the function x + 2y + 3 = 0 is found by first expressing the function explicitly as y = -½x - 1½ and then swapping x and y to solve for the new y, yielding the inverse function y = -2x - 3.
Explanation:To find the inverse of a function, we typically swap the roles of x and y, and then solve for y. Given the function x + 2y + 3 = 0, we first write the function explicitly as y in terms of x:
y = -½x - ³2
Now let's find the inverse:
Swap x and y to get x = -½y - ³2.Solve for y. Multiply every term by 2 to get rid of the fraction: 2x = -y - 3.Rearrange the equation to solve for y: y = -2x - 3.This new function y = -2x - 3 is the inverse of the original function.
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What is the relationship between 0.8 ÷ 10^2 and 0.8×10^2
[tex]0.8\times10^2\ \text{is 10,000 times greater than}\ 0.8\div10^2\\\\\dfrac{0.8\times10^2}{0.8\div10^2}=\dfrac{10^2}{1\div10^2}=\dfrac{10^2}{\frac{1}{10^2}}=10^2\times10^2=10^4=10,000[/tex]
Dividing 0.8 by 10² moves the decimal two places to the left, resulting in 0.008. Multiplying 0.8 by 10² moves the decimal two places to the right, resulting in 80. Thus, the two operations produce different magnitudes of the original number.
Understanding the Relationship Between 0.8 ÷ 10² and 0.8 × 10²:
In mathematics, it's essential to understand how operations involving powers of ten affect numbers. Let’s break down the operations:
0.8 ÷ 10²: When you divide a number by 10 raised to the power of 2 (which is 100), you move the decimal point two places to the left. So, 0.8 ÷ 100 = 0.008.
0.8 × 10²: When you multiply a number by 10 raised to the power of 2, you move the decimal point two places to the right. So, 0.8 × 100 = 80.
We can conclude that 0.8 ÷ 10² results in moving the decimal to the left, making the number smaller (0.008), while 0.8 × 10² results in moving the decimal to the right, making the number larger (80).
an ordinary Fair die is a cube with the number 1 through 6 on the sides (represented by painted spots). imagine that such a die is rolled twice in succession and the face values of the two dice rolls are added together. this sum is recorded as the outcome of a single trial of random experiment.
compute the probability of each of the following events. event A: the sum is greater than 7. B: the sum is an even number
Event A Answer: [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:
8 = 26, 35, 44, 51, 62 (5 possibilities)
9 = 36, 45, 54, 63 (4 possibilities)
10 = 46, 55, 64 (3 possibilities)
11 = 56, 65 (2 possibilities)
12 = 66 (1 possibility)
This is a total of 15 possibilities out of 36 total: [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]
***********************************************************************************
Event B Answer: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sum is an even number means both dice are odd or both dice are even. That results in the following combinations:
11 13 15
22 24 26
31 33 35
42 44 46
51 53 55
62 64 66
This is a total of 18 possibilities out of 36 total: [tex]\frac{18}{36}[/tex] = [tex]\frac{1}{2}[/tex]
What is the quotient of 22,389 ÷ 13?
1,029 R12
1,706 R11
1,722 R3
1,645 R4
Answer:
1,722
Step-by-step explanation:
Answer:
1,722 remainder 3 is the correct answer. I didn't do the problem by hand, but for multiple choice answers, you can always just use a calculator to find the answer and the remainder will be given
simplify (-6a5b4c3)(5a3b2c)
[tex]\text{Use:}\\\\a^n\cdot a^m=a^{n+m}\\\\(-6a^5b^4c^3)(5a^3b^2c)\\\\=(-6\cdot5)(a^5a^3)(b^4b^2)(c^3c^1)\\\\=-30a^{5+3}b^{4+2}c^{3+1}\\\\=\boxed{-30a^8b^6c^4}[/tex]
Please help me out and answer!!!!!
Really struggling
Answer:
D
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y) → (- y, x)
A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence
(x, y) → (- y, x) → (- y, x+ 3) → D
Make (X-12)/(x-8) equal to zero
A)-2
B)-8
C)2
D)8
Answer:
x=12 makes (X-12)/(x-8) equal to zero
x=8 makes (X-12)/(x-8) undefined
Step-by-step explanation:
(x-12)/(x-8) = 0
The first step is to multiply each side by x-8
(x-8) *(x-12)/(x-8) = 0 * (x-8)
This cancels the denominator. x≠ 8 because the denominator would equal 0 and then it becomes undefined.
x-12 = 0
Add 12 to each side
x-12+12 = 0+12
x = 12
I
Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost $1.40, and each box of crayons cost $0.59. How much money did Ms. Blankenship have left after these purchases?
Answer:
$16.32
Step-by-step explanation:
$1.32 Per Stick Times 32 = $44.80
$.59 Per Crayon Box Times 32 = $18.88
$44.80 + $18.88 = $63.68
$80 - $63.68 = [$16.32]
The 10 members of the swim team completed the following numbers of laps at today's practice.
22, 78, 79, 80, 81, 86, 88, 91, 91, 92
Identify all values that are outliers.
If there is more than one outlier, separate them with commas.
If there are no outliers, click on "None".
Answer:
There is ONE outlier in this problem. The outlier is 22.
Step-by-step explanation:
The outlier is 22 because for a number to be an outlier, it has to be much smaller or much larger than the other values in a set of data. 22 is very far away from the given numbers.
HELP NOW PLLLLLZZZZZ!
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? [1 mile = 1.6 km]
A. 0.3
B. 0.8
C. 2.5
D. 3.2
Answer: The car would need 0.3 gallons of fuel to travel 20km.
Step-by-step explanation: 40mile x 1.6km = 64km
1 gallon 1 mile 1 gallon
20km ÷ 64km = 0.3125
Answer:
In 0.3 gallon of fuel, the car will travel 20 km.
A is the correct option.
Step-by-step explanation:
We have been given that in 1 gallon of fuel the car can travel 40 miles.
Now, 1 mile = 1.6 km.
Hence, in 1 gallon the car travel 40×1.6 = 64 km
Let the car will consume x gallons of fuel to travel 20 km.
Thus, we have the equation
[tex]\frac{1}{64}=\frac{x}{20}[/tex]
ON solving for x
[tex]x=\frac{20}{64}\\\\x=0.3[/tex]
Therefore, in 0.3 gallon of fuel, the car will travel 20 km.
A is the correct option.
I have the data in that picture , I need help answering these questions that continue with that
F: how much money will Jason have in the bank after 9 weeks
G: if Jason has $80 left, how many weeks have passed
This is for question 2 in the picture
Answer:
F $185
G 12 weeks
Step-by-step explanation:
Assuming your equation is correct
y = -35x +500
We want to let x=9
y = -35(9) +500
y = -315+500
y =185
Jason will have $185 after 9 weeks
If he has 80 dollars left we put that in for y and solve for x
80 = -35x +500
Subtract 500 from each side
80-500 = -35x +500-500
-420 = -35x
Divide each side by -35
-420/-35 = -35x/-35
12 = x
After 12 weeks he will have 80 dollars left
can someone help me with this question
?
The answer is the top left corner choice
The first line of each box is the same, so we can move onto the second line. In the top left corner, the negative 1 is being distributed to every term in (5 - 3x) to have the signs flip and give us -5 + 3x. The other stuff stays the same.
Answer:
The top left corner
Step-by-step explanation:When you have to simplify an expression, distributing is a common way to begin, since it’s easier and it helps to get rid of that 1, which makes the process of simplifying easier
Explain how to determine if the two expressions are equivalent using x = 6 and x = 10.
8x + 40 8(x + 5)
The expressions 8x + 40 and 8(x + 5) are equivalent because both expressions have the same value at x = 6 and x = 10
How to determine the two equivalent expressions?The expressions are given as:
8x + 40 and 8(x + 5)
When x = 6, we have:
8x + 40 = 8 * 6 + 40
8x + 40 = 88
8(x + 5) = 8(6 + 5)
8(x + 5) = 88
When x = 10, we have:
8x + 40 = 8 * 10 + 40
8x + 40 = 120
8(x + 5) = 8(10 + 5)
8(x + 5) = 120
Notice that both expressions have the same value at x = 6 and x = 10
Hence, the expressions 8x + 40 and 8(x + 5) are equivalent
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Answer:
Sample Response: If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.
Step-by-step explanation: trust