Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.
Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:
6.4
x3.7
You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.
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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What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution
Answer: No solution
Step-by-step explanation:
VX+12-12=x-12
VX=x-12
VX/x=x/x-12/x= X≠0
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
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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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]
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.
The radius of a circle is 4.2 m. Find the circumference to the nearest tenth.
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
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.
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
At what point(s) does the parabola,
y
=
x
2
−
2
, intersect the line,
y
=
−
x
Answer:
Please check the formatting when posting. I'm assuming these are the equations:
y=x^2 - 2
y=−x
Step-by-step explanation:
We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)
1. Graphing
See attached graph
(-2, 2) and (1,-1) are the intersection points
2. Solving
y=x^2 - 2 Use y=−x in this equation:
-x = x^2 - 2
0 = x^2 + x - 2
0 = (x+2)(x-1)
x = -2 and +1
(-2, 2) and (1,-1) are the intersection points
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
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.
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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please help me asappp :D
ty :)
Answer:
5x + 8y = 24
Step-by-step explanation:
Multiply the equation 8
8 ( y = -5x/8 + 3 )
8y = -5x + 24
5x + 8y = 24
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.
What is the value of x? Leave your answer in simplest radical form.
Answer:
sqrt 52
Step-by-step explanation:
use the pythagorean thereom
side a - 4
side b - 6
to find the hypotenuse, simply square both sides.
4² + 6²
4 x 4 = 16
6 x 6 = 36
add these two together
you should get 52.
After finding the combined side length, find the inverse operation of squared.
The inverse operation is the square root.
So find the square root of 52.
√52 = 7.21110255
round to the nearest tenth.
the answer should be 7.2
But to keep it in radical form the answer is sqrt 52
The value of x is 2√13.
Step-by-step explanation:With the help of Pythagoras theorem, we will find the value of x.
=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:Therefore, the value of x is 2√13.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Max correctly starts solving the linear equation 1/2(x+8) = - 3 by writing x+8= - 6. Which of the following properties justifies what Max wrote?
1) The distributive property
2) The commutative property of addition
3) The addition property of equality
4) The multiplication property of equality
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
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
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
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).
a total materials variance is analyzed in terms of
76 is 0.4% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 76. Slightly less than 76, slight greater than 76, or a lot greater than 76? Explain.
Answer:
Step-by-step explanation:
It's a lot greater. If you take 0.4% of some number and the answer is 76, you better be starting with something that is very large. The formula will make the solution automatic.
Formula
Let the number be x
0.4% x = 76
0.4% = 0.4/100
0.4 / 100 * x = 76 Multiply both sides of the equation by 100
0.4x = 76*100 Combine the right.
0.4x = 7600 Divide by 0.4
x = 7600/0.4
x = 19000 Which is quite a bit larger than 76
Answer:
greater than 76
Step-by-step explanation:
hope it will help goodbye
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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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
What is the LCD of 8/9 and 2/3
PLEASE HELP ASAP
Simple interest:
The length of time for £5000 to earn £1000 if invested at 10 percent per annum
Answer:
2 years
Step-by-step explanation:
1) principle:$5000
Rate : 10%
S.I = $1000
Therefore length of time =
S.I x 100 divided by Principle x rate
= 1000 x 100 divided by 5000 x 10
Answer= 2 years.
If correct please give brainliest
Stay safe and healthy
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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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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.