A teacher asked her students to divide a large number by 50.
• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?
Answer:
Step-by-step explanation:
Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.
Aslan of course would get the right answer. It's direct and it does give the right answer.
Lucy also did it correctly.
Jack is the only one who will not get it right.
Gatorade comes in two different sizes A 16 ounce costs $2.10 and a 20nounce bottle costs $3.15 which is a better deal to explain your thinking.
How much do you save per ounce by buying the better one?
Based on the cost of each bottle, the better deal is the 16 ounce size and the amount saved per ounce is $0.03
The first step is to find the cost per ounce of each bottle.
For the 16 ounce bottle:
= 2.10 / 16
= $0.13 per ounce
For the 20 ounce bottle:
= 3.15 / 20
= $0.16
The 16 ounce size is therefore better and the amount saved per ounce is:
= 0.16 - 0.13
= $0.03
In conclusion, the 16 ounce is better as it saves $0.03 per ounce.
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The area of the triangle below is 14.96 square inches.
What is the length of the base?
Answer:
base = 6.8 in
Step-by-step explanation:
area of triangle = 1/2 base height
where height = 4.4 in
area = 14.96 in²
plugin values into the formula
14.96 = 1/2 base (4.4)
base = 14.96 (2)
4.4
base = 6.8 in
RS= 6x-8
UV= 4x+2
write and solve an equation to find the value of x (show work)
What is the length of RS
What is the length of UV
Answer:
The length of RS is 22
The length of UV is 22
Step-by-step explanation:
6x-8. ---------- equation (i)
4x+2 ------------ equation (ii)
Now,
equating equation i and ii, we get
6x-8 = 4x+2
or, 6x-4x = 2+8
or, 2x = 10
or, x = 10/2
.°. x = 5
Then,
length of RS = 6x-8
= 6×5-8
= 30-8
= 22
Again
length of UV = 4x+2
= 4×5+2
= 20+2
= 22
Work out m and c for the line: 2 y + 3 x = − 5
Answer:
m is -3/2
c is -5/2
Step-by-step explanation:
The standard linear equation is given by;
[tex]{ \tt{y = mx + c}}[/tex]
» m is the slope and c is the y-intercept
Then, our slope is;
[tex] { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}[/tex]
Lyssa and Carlos own a hardware store. They sell a certain type of light bulb in packages that each contain 24 bulbs. The back of each package says, " The expected number of broken or defective packages per bulb is 0.25"
Lyssa says, "If we look at 100 packages, we expect to see a total of about 250 broken or defectve bulbs"
Carlos says, "Any given package most likely contains 0.25 broken or defective bulbs".
Which Statement is correct based on the expected value?
A. Only Lyssa
B. Only Carlos
C. Both Statements are correct.
D. Neither Statement is correct.
Answer:
Neither statement is correct
Step-by-step explanation:
Khan
Answer:
Neither statement is correct
Step-by-step explanation:
Answer on Khan Acadmey
For what integer value of x is f(x) = -10 if f(x) = - 4x + 2?
Answer:
x = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 2, for which we must determine the integer value of x that will provide an output of f(x) = -10:
Solution:The first step is to substitute the output value, f(x) = -10, into the given function, and solve for its corresponding input value, x:
f(x) = -4x + 2
-10 = -4x + 2
Subtract 2 from both sides:
-10 - 2 = -4x + 2 - 2
-12 = -4x
Divide both sides by -4 to solve for x:
[tex]\displaystyle\mathsf{\frac{-12}{-4}\:=\:\frac{-4x}{-4} }[/tex]
x = 3
Hence, when x = 3, f(x) = -10.
Double-check:Substitute the value of x = 3 into the original function:
f(x) = -4x + 2
f(3) = -4(3) + 2
f(3) = -12 + 2
f(3) = -10 ⇒ f(x) = -10.
Therefore, the input value of x = 3 gives an output value of f(x) = -10.
You want to know the number of games you can play at the carnival with $45. It costs $10 to get into the carnival and $7 for one game. Write and solve an equation to find out how many games you can play.
Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brainliest…
Answer:
1) y = 13.5x + 12) y = 12x + 43) Sam won the raceStep-by-step explanation:
Part 1Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
The distance after x seconds is:
y = 13.5x + 1Part 2Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
The distance after x seconds is:
y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4Part 3After 15 seconds the distance from the start line is:
Sam ⇒ y = 13.5*15 + 1 = 203.5 ftAlice ⇒ y = 12*15 + 4 = 184 ftAs we see Sam is further from the start line than Alice
A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.
Answer:
24mph
Step-by-step explanation:
convert 20 mins and 30 mins to hrs by dividing by 60
4/(20/60)=12
6/(30/60)=12
12+12=24
Cyclist's average speed is 12 mph.
What is Speed?Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.
It can also be defined as the rate of change of position of anything in any direction.
Speed is a scalar quantity as it does not have direction.
Total distance travelled by the cyclist = 4 miles + 6 miles
= 10 miles
Total time taken by the cyclist = 20 minutes + 30 minutes
= 50 minutes
We need the average speed in mph or miles per hour.
We know that,
60 minutes = 1 hour
1 minute = 1/60 hour
50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour
= [tex]\frac{5}{6}[/tex] hour
Average Speed = Total distance travelled / Total time taken
= 10 miles / (5/6) hour
= 10 × [tex]\frac{6}{5}[/tex]
= 12 miles per hour
Hence the average speed of the cyclist is 12 miles per hour.
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a total materials variance is analyzed in terms of
Write a function rule for "The output is three times the input increased by two
A) y=5x
B) y=3x+2
C) y=3x - 2
D) y=2x+3
X is the input.
Three times the input would be 3x
Increased by two would be adding two at the end.
Answer: B. y = 3x + 2
Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c
Answer:
y= -4x+8
Step-by-step explanation:
y-y1= m(x-x1)
y-4 = (-4)(x-1)
y-4 = -4x+4
y = -4x+4+4
y = -4x+8
Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5° 56. 5° 28. 9° 44. 3°.
The question is an illustration of right-angled triangles
The approximated value of x is 33.5 degrees
The given parameters are:
[tex]\theta = x[/tex]
[tex]Hypotenuse = 58[/tex]
[tex]Opposite = 32[/tex]
To determine the measure of angle x, we simply make use of the following sine ratio.
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(x) = \frac{32}{58}[/tex]
[tex]\sin(x) = 0.5517[/tex]
Take arc sine of both sides
[tex]x = \sin^{-1}(0.5517)[/tex]
This gives
[tex]x = 33.5[/tex]
Hence, the approximated value of x is 33.5 degrees
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What is the value of -2/3(24-16/3)
Answer:
-12.4444444443
Step-by-step explanation:
BODMAS rule :
Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
16/3 = 5.33333333333
24-5.33333333333 = 18.6666666667
-2/3 = -0.66666666666
-0.66666666666 x 18.6666666667 = -12.4444444443
please help me figureout 4y+x=8
What is the surface area of the cylinder with height 2 in and radius 8 in? Round your
answer to the nearest thousandth.
Answer:
502.655
Step-by-step explanation:
The actual answer was 502.655
What is the LCD of 8/9 and 2/3
What is the LCD of 1/5 and 9/7
A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?
The original number of spoons is 958
Let the total number of spoon be x.
The first day, 25 spoons were removed.
So, the remaining spoon (r) is:
[tex]r =x -25[/tex]
15% of the remaining spoon were used.
So, we have:
[tex]15\% \times r =15\% \times (x -25)[/tex]
This 15% represents 140 spoons.
So, the equation becomes
[tex]15\% \times (x -25) = 140[/tex]
Express 15% as decimal
[tex]0.15 \times (x -25) = 140[/tex]
Divide both sides by 0.15
[tex](x -25) = 933[/tex]
Remove brackets
[tex]x -25 = 933[/tex]
Add 25 to both sides
[tex]x= 958[/tex]
Hence, the original number of spoons is 958
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I need 3 more brainiest can anyone help a girl out plz
Answer:
:/
Step-by-step explanation:
Answer:
Sure
Step-by-step explanation:
As a person pedals the bike, what forces oppose motion? As the person goes faster, what happens to the amount of air resistance?
Answer:
Step-by-step explanation:
Wind, friction and terrain (flat versus hilly) all oppose motion of the bike. Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).
Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rule f(n)=15n+10
6. Complete the table, then use the table to create ordered pairs.
7. Graph the sequence using the ordered pairs.
Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10
Step-by-step explanation:
The table of the ordered pairs and the graph is plotted.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.
We have the function as -
f(n) = 15n+10.
We can create a table as follows -
[n] f[n]
1 25
2 40
3 55
4 70
5 85
Refer to the graph of the function f(n) = 15n+10 attached.
Therefore, the table of the ordered pairs and the graph is plotted.
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Question 1 (1 point)
When a transversal passes through two lines and the corresponding angles are
congruent, then the lines are parallel.
True
False
Answer:
True
Step-by-step explanation:
If corresponding angles are congruent, the lines are parallel
A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?
1a) The top and bottom are parallel.
2b) The top and right side form a right angle.
4c) The left side and right side are parallel.
5d) The left side and bottom form a right angle.
Today 60 students rode their bicycles to Coast Middle School. If this is 75% of the students at the school, how many students attend Coast middle School?
Answer:
i think students attend Coast middle School 80 students
Step-by-step explanation:
students attend Coast middle School x students
75%x = 60
x = 60×100/75
x = 80
Answer:
80 students attend
Step-by-step explanation:
75% is the same as 3/4 so you divide 60 by 3 to get 20 then you can multiply that by 4 to get 80
2/9 dived 1/2 helpppp
Answer:
.44 or 11/25
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
2/9 divided by 1/2 can be changed to multiplication by using the inverse of the fraction you are divining by, which makes 2/9 times 2/1, or 2/9 times 2, which is 4/9
A candy company used 8 pints of chocolate to
make 2 boxes of candy. How much chocolate would
they need to make 6 boxes of candy?
Answer:
They would need 24 pints of chocolate to make 6 boxes of candy
determine whatever ABCD is a parallelogram by using the midpoint formula.
A(3,3) B (1.2) C(-3.1) D (-1.4)
Answer:
Not a parallelogram.
Step-by-step explanation:
By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:
[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].
A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.
The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.
Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:
[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].
Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].
Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.
consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C
Answer:
A. No, it does not represent a proportional relationship.
B. Yes, it represents a proportional relationship.
C. No, it does not represent a proportional relationship.
Step-by-step explanation:
think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.