The correct statement is for every 8 vehicles sold, 1 truck was sold.
Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.
In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every 8 cars sold 1 truck are sold.
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Tom’s weekly salary increased from $240 to $300. What was the percent change?
Answer: 25%
Step-by-step explanation:
Answer:
25% increase
Step-by-step explanation:
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has traveled 936 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
The required equation is:
d = 81tf(t) = 81tStep-by-step explanation:
I think that's the answer
The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
Given that car is moving at a constant speed.
Distance travelled by car = 936 feet
Time taken to travel the distance = 8 seconds
Speed = Distance / Time
= 936 / 8
= 117 feet per second
So the car will be moving at a speed of 117 feet per second at any time t.
Distance of car at any time is,
Distance = Speed × Time
d = 117 × t
d = f(t) = 117t
Hence the linear function which models the relationship between d and t is d = f(t) = 117t.
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Evaluate. 4/9 + 4/5 (2/3)^2 Write your answer in simplest form.
Answer: 25/27
Step-by-step explanation:
4/9 + 4/5 (2/3)^2
4/9 + (4/5)(4/9)
4/9 + (16/54)
24/54 + 16/54
50/54
25/27
Answer:4/5
Step-by-step explanation:
Solve for j. 144j2 + 21 = 85
Answer:
2/3
Step-by-step explanation:
I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!
Write an equation in slope intercept form plz help
The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.
The equation is already in slope-intercept form.
[tex]y = - x + 4[/tex]
Answer:
Step-by-step explanation:
Q8:
y= -x+4 (given)
Slope of given the line=-1
For required slope which is passing through (6,5):
Using Point slope form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
y-5=-1(x-6) (m=-1 because lines are parallel)
y-5=-x+6
x+y-5-6=0
x+y-11=0
Q9:
y=-4x-7
slope of the given line:
m=-4
Slope of required line:
m=1/4
Using Point slope form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
y+1=1/4(x-8)
4y+4=x-8
x-4y-8-4=0
x-4y-12=0
A diver dove from a board that was 6 3/4 feet above the water's surface, and descended until he was 8 1/3 feet below the water's surface. What was the total distance that the diver desceded?
Answer:
15 1/12 feet
Step-by-step explanation:
Well if he descended 8 1/3 feet below the water, that means he must've went from board to water which is 6 3/4 feet then down 8 1/3 feet
6 3/4 + 8 1/3
= 6 9/12 + 8 4/12
=15 1/12 feet
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work
Answer:
868412
Step-by-step explanation:
434206x2=868412
A pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?
Answer:
I think is 1/9
Because they say the sum is 9 and what will be chance in landing in 2
Isabel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed?
Answer:
6.4 miles per hour
Step-by-step explanation:
Answer:
1.6m/h
Step-by-step explanation:
6.4/4=1.6m/h
aaaaaaaa
Help!!
Question in picture!!
Step-by-step explanation:
A. monomial
B. polonomial
hope it helps.
stay safe healthy and happy.
Answer:
A= monomial
B= trinomial
PLZ SOMEONE HELP ME
NO LINKS PLz
Answer:
-11[tex]\leq[/tex]x[tex]\leq[/tex]8
Step-by-step explanation:
The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.
what would the equation be??
Answer:
y = 4x + 8
Step-by-step explanation:
Firstly, choose 2 points ( I chose [2,11] and [4,19] ) use y2-y1/x2-x1 to find your slope of 4, next use one of the points to find your y-intercept, plug the two coordinates into your equation to get 11 = 4 (2) + b , after simplifying, your answer is y = 4x + 8
Brainliest would be appreciated. :-)
A display at a grocery store for tomato soup says "5 cans for $3.00." At the same rate, what would be the cost of 8 cans of tomato soup?
Answer:
4.8 $
Step-by-step explanation:
5 cans = 3 $
then:
1 can = 0.6 $ because 0.6*5 = 3
Now 0.6*8 cans = 4.8 $
Answer:
$4.80
Step-by-step explanation:
The cost will be proportional to the number of cans. If the number of cans goes up by a factor of 8/5, so does the cost.
cost of 8 = (8/5)($3.00) = $4.80
what is the mean of the data set
14 19 18 12 22 15 16 14 14 21 20
A 15.75
B 16.00
C 16.75
D 19.50
(25 points) Which statement describes the point (2, 6) ?
The point is on the x-axis.
The point has an x-coordinate of 2 and a y-coordinate of 6.
The point has an x-coordinate of 6 and a y-coordinate of 2.
I don't know.
The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
The coordinate is written as (x,y)
Here, x is the horizontal distinctions and y is the vertical distinctions.
In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.
Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".
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Help me with number 32 please
Answer:
cant give you a answer but theres this app called gauth math try that its really helpful
Step-by-step explanation:
who ran faster, noah or lin?
HELP ME PLEASE GUYS! :)
First rearrange
5x-8y=-29
5x+29=8y
5/8x+29/8=y
Then sub in your x values
Step-by-step explanation:
5x-8y=-29
5(6)-8(5)
30-40
=-10
no
5(-9)-8(-2)
=-45+16
=-29
yes
5(-3)-8(1)
-15-8
=-23
no
5(0)-8(-4)
=0+32
=32
no
Please helppp asappppp
Answer:x=10
Step-by-step explanation:
First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10
y - 12 = 89
y - 12 +____
=89 + 12
y=?
Answer:101
Step-by-step explanation:
A line has a y-intercept of 3 and a slope of -1 /8. What is its equation in slope-intercept form
Answer:
-1/8x+3
Step-by-step explanation:
Answer:
y = -1/8x+3
Step-by-step explanation
your slope intercept form should be written as y=mx+b
m = slope = -1/8
y intercept = b = 3
now just replace m and b with your values
y = -1/8x+3
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).
The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
The formula for calculating the volume of a cone is expressed as:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
r is the base radius of the coneh is the height of the coneThe volume of the frustum will be expressed as:
Vf = Volume of the larger cone - Volume of the smaller cone
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]Taking the difference in volume:
Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]
Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
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whats 2x-3=67= pls HELP BRAINLy
Answer:
2x-3 = 67
2x = 67+3
2x = 70
x = 35
Answer:
x= 35
Step-by-step explanation:
a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b
Answer:
1350 cm³
Step-by-step explanation:
we have given that,
• Height of A = 10 cm.
1350
• Volume of A = 400cm³.
• Height of B = 15 cm.
• Both A and B solids are similar.
from above told concept we get,
→ V(A) / V(B) = (Height of A)³ / (Height of B)³
Putting all given values we get,
→400/ V(B) = (10)³/(15)³
→400/V(B) = (1000/3375)
→ V(B) = (400*3375) / 1000
→ V(B) = (4 * 3375) / 10
→ V(B) = 1350 cm³. (Ans.)
Hence, Volume of B will be 1350 cm³.
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
Answer:
Below.
Step-by-step explanation:
Part A.
m < RPB = 180 - 115 = 65 degrees.
So the m < x = 180 - 65 - 62
= 53 degrees.
Part B.
First line of Part A:
M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).
Second line:
The 3 angles x, 62 and 65 degrees are all on the same straight line (AB), so they sum to 180 degrees.
The distance required for a car to stop is directly proportional to the
square of its velocity. If a car can stop in 112.5 meters at 15 kilometers
per hour, how many meters are needed to stop at 25 kilometers per hour?
Answer:
312.5 m
Step-by-step explanation:
let distance be d and velocity be v , then
d = kv² ← k is the constant of variation
To find k use the condition d = 112.5, v= 15
112.5 = k × 15² = 225k ( divide both sides by 225 )
0.5 = k
d = 0.5v² ← equation of variation
When v = 25 , then
d = 0.5 × 25² = 0.5 × 625 = 312.5 m
What value of x would make △PQR~△MNL?
Answer:
The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16
Step-by-step explanation:
The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?
A 7:15
B 7:30
C 7:45
D 8:00
Answer:
i think (C)
Step-by-step explanation:
hope this helps you
Which table represents a linear function?
Answer:
it's the last one in the lower right corner.