you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds. graph each ratio relationship in the coordinate plane
(im in 6th grade)
Answers
In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:
d = mt + b
d is the distance covered
t is the time taken
m is the speed
If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)
Get the slope of the line:
m = (9-30)/(2-5)
m = -21/-3
m = 7
Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b
9 = 7(2) + b
9 = 14 + b
b = -5
The required equation to plot will be expressed as y = 7t - 5
Plot the required graph
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Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
<C and <F are a linear pair. If m<C = 3x and m<F = 3x + 18, find m<F.
Answers
Answer:
108
Step-by-step explanation:
A linear pair adds to 180 degrees
<C + <F = 180
3x+ 3x+18 = 180
6x+18 =180
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shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake
Answers
Answer: 4.125
Step-by-step explanation: just divide it but 4 and thats how i got it
16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answers
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
Find the missing angle measurement in each set of supplementary angles.
Answers
Answer:
126°
Step-by-step explanation:
180-54 = 126
Supplementary angles form 180°. Let's take the missing angle as 'x'.
54° + x° = 180°
x = 180° - 54°
x = 126°
=》 Angle LJK = 126°
______
RainbowSalt2222 ☔
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Answer:
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Name the 5 Steps to solving equations and inequalities.
Answers
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation. ...
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
what is the simplest form of 32/40
Answers
Answer:
4/5
Step-by-step explanation:
Answer:
4/5 or as in decimals, 0.8
Step-by-step explanation:
32/8=4
40/8=5
There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?
Answers
Answer:
alan received 24 votes
Step-by-step explanation:
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Here is a list of five numbers.98^53 98^64 98^73 98^88 98^91Find the lowest common multiple of these five numbers.
Answers
Answer:
98^91
Step-by-step explanation:
Since the base of all the numbers is 98,
the LCM is simply the one with the greatest exponent
example
98^53 * 98^38 = 98^91
Find the missing side. Round to the nearest tenth, if necessary.
Answers
Answer:
Apply the concept of:
a²+b²=c²
1. 5²+4²=c²
25+16=c²
c²=41
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Do the same for the other qns.
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
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Answer: 2,435
Step-by-step explanation:
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One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.
Together, the boxes weigh 48 pounds.
If w represents the weight of the first box placed on the scale, write a problem ?
Answers
Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.
The second box weigh 10 pounds less than the first box. Hence:
y = w - 10
-w + y = -10 (1)
The two boxes weigh 48 pounds. hence:
w + y = 48 (2)
Solving both equations gives:
w = 29, y = 19
The first box weighs 29 pounds while the second box weighs 19 pounds.
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Answer:
In My Opinion, y < 425 - x
I hope this helps.
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Answer:
4 7/12
Step-by-step explanation:
Find the percent of each number mentally.
A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?
A. $2.63
B. $28.95
C.$41.63
D. $45.75
Answers
The total cost of the video controller is $41.63.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A video controller cost $39.
If a 6.75% sales tax is added,
that means,
6.75% of 39,
= 6.75 x 39 / 100
= 2.6325 taxed amount.
The total cost = 39 + 2.6325 = 41.63.
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A sixth grade class has 12 boys and 24 girls.
For every 2 boys, there are 4 girls. Do you agree with this statement? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
The best way to solve this question is to use ratios. The first ratio to make is 12:24. This represents how there are 12 boys for 24 girls. Ratios remain equivalent as long as both sides of the ratio are simplified by the same number. So, you can divide both sides by 6. When you divide both sides you get 2:4. Therefore, there are 2 boys for 4 girls.
What is 16 1/2 as an improper fraction.
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Answer:
1. 2025
2. 737
3. 1365
4. 866
5. 923
6. 1662
7. 2013
8. 1562
9. 2400
Step-by-step explanation:
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Answer:
I think it is 43167 but am not really sure
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Answer:
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Step-by-step explanation:
If 24 people fit in 12 RVs,
How many people are in each RV?
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Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
Simplify the expression below. −7×4×(−434)
Answers
-28 x -434
12,152
BRAINLIEST FOR CORRECT ANSWER NEEDS HELP ASAP
At Chrissy's Clothes Warehouse, it takes fraction 2 over 5 of a day to complete fraction 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
Mixed number 10 and 2 over 5 days
Mixed numbers 12 and 1 over
2 days
25 days
Answers
Answer: 4 days
Step-by-step explanation:
Solve.
x−(−256)=−15
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
x =
Answers
Step-by-step explanation:
[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]
solve for c.
c + 3/8 = 1 1/3
Enter your answer as a fraction in simplest form.
Answers
Answer:
Let's solve your equation step-by-step.
c+
3
8
=1
1
3
Step 1: Simplify both sides of the equation.
c+
3
8
=
4
3
Step 2: Subtract 3/8 from both sides.
c+
3
8
−
3
8
=
4
3
−
3
8
c=
23
24
Answer:
c=
23
24
what are the values of the variables
Answers
Answer:
21
Step-by-step explanation:
we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3
from the triangle angle sum theorem, we know that 4x+6 = 90
solving, we get 4x=84, x=21
Answer:
isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).
so we have 180 degrees = 90 + (2x+3) + (2x+3)
so x = 21