A store receives a shipment of 320 skateboard wheels. After 3 days, 272 of the skateboard wheels are left. After 7 days, 208 skateboard wheels are left.
a. Write an equation that represents the number y of skateboard wheels remaining after x days.
b. Use the linear equation to predict how many skateboard wheels will be left after 11 days.
c. After how many days should the store plan to receive a new shipment of skateboard wheels so they do not run out?
d. What does the slope of the equation represent? What does the y-intercept represent?
Answer:
[tex]y=-16x+320[/tex]
144
20 days
Change of the number of skateboards with respect to the change of days.
y intercept represents the total stock of the skateboard wheels.
Step-by-step explanation:
The points on the plane are [tex](3,272)[/tex] and [tex](7,208)[/tex].
Slope is given by
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{208-272}{7-3}\\\Rightarrow m=-16[/tex]
The equation of the line will be
[tex]y-y_1=m(x-x_1)\\\Rightarrow y-272=-16(x-3)\\\Rightarrow y-272=-16x+48\\\Rightarrow y=-16x+320[/tex]
The equation that represents the situation is [tex]y=-16x+320[/tex]
When the number of days is 11 we have [tex]x=11[/tex]
[tex]y=-16\times 11+320\\\Rightarrow y=144[/tex]
The number of wheels left after 11 day is 144.
When the shipment will run out [tex]y=0[/tex]
[tex]0=-16x+320\\\Rightarrow x=\dfrac{320}{16}\\\Rightarrow x=20[/tex]
So, after 20 days the shipment will run out.
The slope represents the change of the number of skateboards with respect to the change of days.
The y intercept represents the total stock of the skateboard wheels.
A tunnel has a semicircular cross-section
and a diameter of 10 m. If the roof of a bus
just touches the roof of the tunnel when
the bus is 2 m from one side, how high is
the bus?
this question is from the IGCSE maths student book1, shape and space 2 for Edexcel
Answer:
Height of bus = 4 m
Step-by-step explanation:
I have attached an image showing the cross section of this tunnel.
Since the diameter is given as 10m.
Thus, radius = 10/2 = 5 m
Since radius is 5 m, it means that the distance from the center of the circle to the tunnel edge = 5 m
If the bus is 2 m from one side, it means that the centre of the road to the right hand side of the bus will be;
5 - 2 = 3 m
Looking at the image and our values here, it is clear that, the distance from the centre of the road to the point where the bus just touches the roof tunnel = 5
Using Pythagoras theorem, we can find the height of the bus, h;
h² + 3² = 5²
h² + 9 = 25
h² = 25 - 9
h² = 16
h = √16
h = 4 m
46 5/16 times 18 1/9
Answer:
832.25625
Step-by-step explanation:
Mark Me Brainliest Please I used a calculator
Earning an A in algebra this semester is an example of:
A. a long-term goal.
B. a short-term goal.
C. an instant goal.
D. a short-term commitment.
SUBMIT
Earning an A in algebra this semester is an example of (A) a long term goal.
One of the many branches of mathematics is algebra, which means "reunion of shattered pieces, setting of bones" in Arabic. Algebra, which is a common thread throughout practically all of mathematics, is essentially the study of mathematical symbols and the rules for using them in formulas.
Since all mathematical applications involve manipulating variables as though they were numbers, elementary algebra is a prerequisite. The study of algebraic structures like groups, rings, and fields is referred to as abstract algebra, primarily in educational contexts (the term is no more in common use outside educational context). Modern presentations of geometry include linear algebra, which deals with linear equations and linear translations, and has numerous real-world applications (in weather forecasting, for example).Since there are a wide variety of application for Algebra in our day-to-day lives and in the modern sciences, so a good score in Algebra will not only get a good score for the results but also help learn valuable information for the future. Hence it is a long-term goal.
To learn more about algebra visit:
https://brainly.com/question/24875240
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What percent of the jeans cost more than $20.
Stem Leaf
166 788 9999
2135
3
4 | 223
2|3 = $23
Answer:
866
Step-by-step explanation:
659
Answer: 2/3=$23
Step-by-step explanation:
Is y=3(2)^x a linear or nonlinear function?
Answer: Nonlinear
Step-by-step explanation: Whenever a function has an exponent, it is usually a non-linear function.
HELP pls NOW what time does this class shows
Answer:
8:42
Step-by-step explanation:
Answer:
8:42 little hand is the hour long hand is minutes
What is the length of the hypotenuse of the triangle??
Answer:
65
Step-by-step explanation:
33² + 56² = 4225
Square root of 4225 = 65
Determine whether (8,1) is a solution of y = 13x – 6.
A car travels a constant speed of 70 miles per hour. How far will it have travel in 4 hours?
Answer:
280 km
Step-by-step explanation:
I need some help hereeeeeeeeee
Answer:
D.6
Step-by-step explanation:
6w + 5 =41
6w = 41-5
6w=36
6w/6 =36/6
W=6
Check
Let's put the answer (6) on the w place and see if we get 41
6x6 +5=41
36 +5=41
41=41
Can someone give me the answer please 4(2x-3)=5x+7
Step-by-step explanation:
x=6.33333
the three just continue so u can keep it x=6.3
A Four-digit number is divided by a 35 and has a remainder of 15. The first three digits of the number 155. What is the fourth digit of the number
Answer:
the last digit is 5
Step-by-step explanation:
How can you make 34 from 6, 7, and 4?
Answer:
7*4+6
Step-by-step explanation:
7*4+6 = 28+6 = 34
I need help ASAP please I’m giving brainliest!
What is the equation of a line with a slope of 3 and contains
point (4.1)
Answer:
y = 3x - 11
Step-by-step explanation:
y=mx+b
1=3(4)+b
1=12+b
b=-11
Answer:
y = 3x –11
or 3x – y = 11 Standard form
Explanation:
using slope-intercept form, calculate b
1 = 3(4) + b
1= 12 + b
1 –12 = b
–11 = b rewrite the equation using this value.
y = 3x –11
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin? Write a systems of equations first, let x=Erin's age and y=Alex's age
Answer:
X = 15 = Erin's age
Y = 18 = Alex's age
Step-by-step explanation:
X = Erin's age
Y = Alex's age
33 (combined ages) - 3 (how many years Erin is younger than Alex) = 30
30 ÷ 2 = 15
15 + 0 = 15 (Erin's age)
15 + 3 = (Alex's age)
X = 15 = Erin's age
Y = 18 = Alex's age
Check if I'm correct:
15 + 18 = 33
Sorry if wrong! Plz mark brainiest if correct :D Have a great day luv <3
-Bee
Calculate the unit price per square foot for each of the flooring types listed above. Which flooring type costs the least per square foot?
a. carpet: $375 for 100 square feet
b. laminate: $340 for 80 square feet
c. vinyl: $402 for 120 square feet
Answer:
Vinyl
Step-by-step explanation:
The cost per square foot are is obtained by :
Total cost / total number of square feet
a. carpet: $375 for 100 square feet
Cost per square foot = $375 / 100
= $3.75 per sq ft
b. laminate: $340 for 80 square feet
Cost per sq ft = $340 / 80
= $4.25
c. vinyl: $402 for 120 square feet
Cost per sq ft = $402 / 120
= $3.35
Arranging from least to highest
Vinyl < carpet < laminate
Answer:
vinyi
Step-by-step explanation:
What is 1/4 of a full rotation?
3 + x, when the value of x is 15
Answer:
The answer is 18
Step-by-step explanation:
If you add 15 to 3 then you get 18
Hope this helps!!! :)
Answer:
x= -15
Step-by-step explanation:
I hope it's help you
Angle M has a measure between 0° and 360° and is coterminal with a –620° angle. What is the measure of angle M?
Answer:
100 or A
Step-by-step explanation:
i hope this is what you were looking for ;)
Please answer this correctly without making mistakes
9514 1404 393
Answer:
3 tablespoons, 2 teaspoons
Step-by-step explanation:
A tablespoon is 3 teaspoons, so 62 tablespoons is 3×62 = 186 teaspoons. One teaspoon added to that gives a total of 187 teaspoons.
Dividing 187 by 17, we get ...
(187 tsp)/17 = 11 tsp
Of course, 11 tsp is 3×3 +2 tsp = 3 tbsp + 2 tsp
Elijah's puppy weighs 20 ounces. If he weighed 15 ounces at the last visit to the veterinarian's office, what is the percent increase in the puppy's weight rounded to the nearest whole number?
Answer:
The percent increase in the the puppy's weight is 84%
Step-by-step explanation:
3x/6+2=8 its a fraction not division
Answer:
X = 12. Hope this helps you:)
3x / 8 = 8 ( simplifying ! )
3x = 64 ( you times both sides by 8 )
x = 21.33 ( just divide both by 3 )
i hope this is correct :D
What is a speed of 55 mph equivalent to in units of m/s? ( 1 mile = 1609 m, 1 hour = 3600 s)
9514 1404 393
Answer:
about 24.58 m/s
Step-by-step explanation:
Multiply by conversion factors that change the units, but not the value.
(55 mi/h) × (1609 m/mi) × (1 h)/(3600 s) = (55×1609/3600) m/s
= 88495/3600 m/s ≈ 24.58 m/s
_____
Additional comment
The exact conversion uses 1609.344 meters per mile, so gives exactly 24.5872 m/s.
Field 0.45 kilo long and 0.4 kilo wide. What is the area in square meters
Answer:
180000
Step-by-step explanation:
Answer:
180.000 m^2.
Step-by-step explanation:
Area in square kilometers
= 0.45 * 0.4
= 0.18
There 1000* 1000 = 1,000,000 square meters in a square kilometer so
Area in sq meters = 0.18 * 1000000
= 180,000 m^2.
Find the function value f(3) if
f (h) = 4h – 3
Answer:
f(3) would be 9 in this case.
Step-by-step explanation:
To find the value f(3) if f(h) = 4h - 3, substitute h for 3.
f(3) = 4(3) - 3
Multiply 4 by 3 to get 12.
f(3) = 12 - 3
Subtract 3 from 12 to get 9.
f(3) = 9
f(3) would be 9 in this case.
Write the exponent for the expression.
1/7 Х 1/7
Answer: the exponent is 2
Step-by-step explanation: this is equal to (1/7)^2
Can somebody please help me and give me the answer to example 2
Answer:
there is no question for example 2
Step-by-step explanation:
what is the product of 9 and 2 times the square root of 90
Answer:
170.76
Step-by-step explanation:
