I would first solve how long it takes for 1 tyres to make life easier. Just solve 56 divided by 4, which means that Liam takes 14 minutes to put one tyres into the van. For part a, I don't quite understand the 3 vans part, but you know he 's putting 12 tyres into a van, so multiply 12 by 14 to get 156. Part B gives you time instead of tyres. Solve it practically the same... 42 divided 14 is 3, so he fits 3 tyres in 42 minutes,
Answer:
Part a) [tex]168\ minutes[/tex] or [tex]2\ hours\ 48\ minutes[/tex]
Part b) [tex]3\ tyres[/tex]
Step-by-step explanation:
Part a) Using a proportion
[tex]\frac{56}{4}\frac{minutes}{tyres}=\frac{x}{12}\frac{minutes}{tyres} \\ \\x=12*56/4\\ \\x=168\ minutes[/tex]
[tex]168\ minutes=2.8\ hours=2\ hours\ 48\ minutes[/tex]
Part b) Using a proportion
[tex]\frac{56}{4}\frac{minutes}{tyres}=\frac{42}{x}\frac{minutes}{tyres}\\ \\x=4*42/56\\ \\x=3\ tyres[/tex]
What is 0.386,0.3,0.683,0.836 from greatest to least
Answer:0.3, 0.386,0.683,0.836
Step-by-step explanation:
You look left to right in the numbers (0.12,0.12)
0.865 | 0.683 | 0.386 | 0.3
50 points
What is the value of X in the triangle below? I need an explain and all work shown.
You can use the definition of sin to solve it.
sin(45 deg) = x/13
sin(45 deg) is known to be [tex]\frac{\sqrt{2}}{2}[/tex] so
[tex]x = \frac{13\sqrt{2}}{2}[/tex]
Let me know if you have questions.
DEEPER A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee. Then he showed another image of the bee that is 10 times as large as the first image. What is the length of the bee in the second image?
Answer:
The length of the bee in the second image is 100 times the original.
Step-by-step explanation:
A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee.
Let the size of the actual bee be = x
So, the first image is = 10x
Then he showed another image of the bee that is 10 times as large as the first image.
Now as the length of the carpenter bee is not given, you can multiply the given length by 100 to get the answer.
The second image will be = [tex]10\times10x=100x[/tex]
So, the length of the bee in the second image is 100 times the original.
Tapiwa raked 5%, percent more leaves than Adam raked. Tapiwa raked 357 liters of leaves. How many liters of leaves did Adam rake?
Answer:
340 liters
Step-by-step explanation:
100% - Adam
105% - Tapiwa
x - Adam
357 l - Tapiwa
We have proportion:
[tex]\dfrac{x}{357}=\dfrac{100}{105}\qquad|\text{cross multiply}\\\\105x=(357)(100)\\\\105x=35700\qquad|\text{divide both sides by 105}\\\\x=340[/tex]
Answer:
340 litres
Step-by-step explanation:
identify all the square root of perfect squares.
196−−−√
75−−√
2√
25−−√
81−−√
200−−−√
196−−−√
25−−√
81−−√
Should be your perfect squares!
Square roots of given perfect squares are 14, 5, 9. Two of given numbers are not perfect squares (75 and 200) and one number is not defined in this context (2).
Explanation:The square root of a number is a value that when multiplied by itself gives the original number. In other words, √a*b = a if and only if b=a*a. A perfect square is a number that is the square of a whole number. So, the task here is to find the numbers that are perfect squares and then find their square roots.
196 is a perfect square, as 14*14=196, so the square root is 14.
75 is not a perfect square so we do not need to find its square root.
Given '2' is not properly defined in this context, so we can't identify the square root.
25 is a perfect square, as 5*5=25, so the square root is 5.
81 is a perfect square, as 9*9=81, so the square root is 9.
200 is not a perfect square so we do not need to find its square root.
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I don’t know if I got this wrong could someone help me
If you multiply .768 by 1000, you move the decimal point to the right 3 places, giving you 768, so your answer is correct.
Hope this short response helps! :)
Don't Worry you are correct It was 1,000 because 768.0 divided by 1000 is .768, Hope this Helps :D
A jet plane flies at 450 miles per hour. How far does it travel in 15 minutes
Remark
60 minutes = 1 hour
15 minutes = 15/60 = 1/4 of an hour.
Formula
d = r * t
Givens
r = 450 mph
t = 1/4 hour
Solution
d = 450 * 1/4
d = 112.5 <<<< Answer
NEED ASAP PLEASE HELP ME!!!!
And explain to ok, But please help
Asheville had about 20 more inches of rain and it rained for about 40 more days than Wichita
subtract both rainfall and days for Wichita from the same quantities in Asheville
47.71 - 28.61 = 19.1 , about 20 inches
124 - 85 = 39, about 40
both quantities rounded to the nearest 10
Asheville had about 20 more inches of rain and it rained for about 40 more days than Wichita
First, you must subtract both rainfall and days for Wichita from the same quantities in Asheville!
47.71 - 28.61 = 19.1 , round about 20 inches
124 - 85 = 39, round about 40
Both quantities are rounded to the nearest 10
Hope I helped!
Good Luck!
Pilar and Tom race home from the park. The graph shows how far each person is from home after a given amount of time.
Drag and drop the appropriate symbol to the box to compare the rates of Pilar and Tom.
Answer:
> - greater than
(ive done the test)
hope it helps :)
5. For each conjecture, test the conjecture with several more examples or find a counter example to disprove it.
A. For every integer n, the value of n^2 is positive.
The conjecture that for every integer n, the value of n^2 is positive, is true
How to prove the conjecture?The conjecture is given as:
For every integer n, the value of n^2 is positive.
Let n be a positive integer.
Such that:
n = k
This means that:
n^2= k^2 --- positive
Let n be a negative integer.
Such that:
n = -k
This means that:
n^2= (-k)^2
Evaluate
n^2= k^2 --- positive
Hence, the conjecture is true
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Final answer:
The conjecture that for every integer n, the value of [tex]n^2[/tex] is positive is disproven by the counterexample of squaring zero, as 0 squared equals 0, which is not positive.
Explanation:
The conjecture for consideration is: For every integer n, the value of [tex]n^2[/tex] is positive.
To evaluate this conjecture, we need to look at the definition of integer squares. When we square any positive or negative integer, we multiply the number by itself, resulting in a positive product since a negative times a negative equals a positive. However, the conjecture overlooks the integer zero (0). When we square zero, 02, we get zero, which is neither positive nor negative. Thus, while the conjecture holds for all integers except zero, the case where n is zero provides a counterexample and disproves the original claim
To further illustrate this, let's consider a few examples:
Positive integer: [tex]3^2[/tex] = 9.Negative integer: [tex](-3)^2[/tex] = 9.Zero: 02 = 0 (Counterexample).Given that 0 is not a positive number, we can conclude that the conjecture does not hold true for every integer since it fails for n=0.
y= 2x + 6 for x = 0,1,2,3,4
x=0 y=6
x=1 y=8
x=2 y=10
x=3 y=12
x=4 y=14
A model airplane flies 18 feet in 2 seconds. What is the airplanes speed in miles per hour?
Answer:
6.1 miles per hour
Step-by-step explanation:
That is 9 feet per second.
There are 3600 seconds in an hour.
9 x 3600 is 32400
That is 32400 feet in an hour.
32400 feet is about 6.1 miles. (rounded)
The airplanes speed is 6.1 miles per hour.
The speed of the airplane will be 6.13 miles/hour. It is obtained by the unit conversion.
What is speed ?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. its si unit is m/sec.
Unit conversion;
1 ft/sec=0.681818 miles/hr
The speed in ft /sec;
v=d/t
v=18 feet/2 second
v=9 ft/sec
1 ft/sec=0.681818 miles/hr
9 ft/sec=9×0.681818 miles/hr
9 ft/sec=6.13 miles/hr
Hence, the speed of the airplane will be 6.13 miles/hour.
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I really need help I’m only in Fourth grade
Leave it be, you would leave it empty because there is no number to put.
You would have to leave it be u have it correct like that
sales tax on a $400 stereo is $16. What is the tax on a $650 TV?
The reason being is that we need to find it out of 100. So, we divide 400 by 4 and because we did that to the denominator we have to do it to the numerator so 16 divided by 4 is well 4. So we found out that is 4/100 we just divide that by 650 and we get 26.
TL;DR it’s $26
Tax is the price charged on an object. This shows that the tax on a $650 TV is $26
If the sales tax on a $400 stereo is $16, this can be written as:
$400 = $16
To get the sales tax on $650 TV, we can write;
$650 = x
x is the required tax;
Divide both expressions to have:
[tex]\frac{400}{650} =\frac{16}{x} \\400x = 16 \times 650\\400x = 10400\\x = \frac{10400}{400}\\x= \$26[/tex]
This shows that the tax on a $650 TV is $26
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What is the slope of the line that contains the points (4,8) and (9,8)? What type of line is it?
A. Slope = 0; horizontal line
B. The line has no slope; it's a vertical line.
C. Slope = 0; vertical line
D. The line has no slope; it's a horizontal line.
For this case we have the following:
Given points: [tex](x1, y1) = (4,8)[/tex] and [tex](x2, y2) = (9,8)\\[/tex]
The formula of the slope is given by:
[tex]m = \frac{(y2-y1)}{(x2-x1)}\\\\m = \frac{(8-8)}{(9-4)}\\\\m = \frac{0}{5}\\\\m = 0\\[/tex]
So, the slope is [tex]m = 0[/tex]and the line is a horizontal line
Answer:
Slope 0, horizontal line
I WILL GIVE BRAINIEST!!
In quadrilateral ABCD, diagonals AC and BD bisect one another:
What statement is used to prove that quadrilateral ABCD is a parallelogram?
(A) Angles BAD and ADC are congruent.
(B) Corresponding angles BCD and CDA are supplementary.
(C) Sides CD and DA are congruent.
(D) Triangles BPA and DPC are congruent.
In order to prove that this quadrilateral is a parallelogram, we need to get the opposite sides to be parallel.
The answer would be D because it shows 2 triangles to be equal. If they are equal then they must have corresponding sides.
Can you help me with the problem and explain it. :) thank you
Ricardo would swim a farther distance in 1 hour. By taking the number of miles he swam and in the fraction of the hour, you can find the answer.
Divide 5 1/4 by 3 because it took 3/5 of an hour to swim that far. That would lead to 1 3/4 for 1/5 of an hour. Now that we know this, we can multiply 1 3/4 to 5 to get how much he would swim in 1 hour which is 8 3/4
Divide 4 1/2 by 5 because it took 5/9 of an hour to swim that far. That would lead to 9/10 for 1/9 of an hour. Now that we know this, we can multiply 9/10 to 9 to get how much he would swim in 1 hour which is 8 1/10
Since 8 1/10 is less than 8 3/4, Ricardo swam farther
I NEED MORE HELP pleASE.
20 POINTS
ILL MARK YALL 5 STARS AND Brainliest !!!
Answer :-
The answer is '-8'.
Step-by-step explanation :-
Given equation :
... [tex]10p + 5 = \frac{18p-6}{2}[/tex]
Multiplying '2' on both sides :-
... [tex]2(10p + 5 ) = 2 (\frac{18p-6}{2})[/tex]
... [tex]20p + 10 = 18p - 6[/tex]
Subtracting 18p on both sides -
... [tex]2p + 10 = -6[/tex]
Subtracting 10 on both sides :-
... [tex]2p = -16[/tex]
Dividing by 2 on both sides :-
... [tex]p=\frac{-16}{2}[/tex]
... [tex]p = -8[/tex]
Hope my answer helps!!
3(2x+2)/6 > 1/2x + 2
solve and graph
1) Reduce the factors=2x+2/2>1/2x+2
2)Reduce the fraction=x+1>1/2x+2
3)Multiply both sides by two=2x+2>x+4
4)Move the terms=2x-x+2>4
5)Subtract all the like terms+x>4-2
6)Your answer is x>2
I can't show you how to graph it but I hope you understand and I hope this helped! :)
What would be the result of (-9+6i)(3-2i) ?
To find the result, you need to multiply the two binomials (the picture shows how to multiply them).
( -9 + 6i )( 3 - 2i )
= -27 + 18i + 18i - [tex]12i^{2}[/tex]
Combine like terms.
= -27 + 36i - [tex]12i^{2}[/tex]
Rearrange your solution into standard form.
= [tex]-12i^{2}[/tex] + 36i - 27
Edit: Actually, don't listen to me. I made a mistake. So sorry! (The first answer is right though).
Which expression represents the sum of 8 and twice a number?
a.) 8+n8+n
b.) 8+2n8+2n
c.) 8×2n8×2n
d.) 2×(8+n)
what is the square root of nine
The square root of nine is 3.
a golfers score after playing on Friday was +2. His score saturdays round was -5. At the wnd of his round on Sunday he was at even par, or 0. What integer relresents the change im the golfers score from the end of his round on saturday to end of his round on sunday?
5. The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0. The difference between -5 and 0 is 5, which means that the integer that represents the change in the golfers score is 5.
Score of golfer after playing on Friday= +2
Score of golfer on Saturday= -5
After Sunday round , Score of golfer =Either an Even Integer or 0.
The Integer which represents,the change the golfers score from the end of his round on saturday to end of his round on sunday
= Score of golfer on Sunday - Score of golfer on Saturday
= 0 - (-5)
= +5
or
An Even Integer - (-5)
=An Even Integer + (5)
=An Integer greater than 5
Dion had 25.00 he purchased the following items for his younger brother using his money. If the tax purchase was 1.85 how much money did dion have left?
he has 77 cents left
1.95*3=5.85
3.60*2=7.20
2.48*3=7.44
1.89+5.85+7.20+7.44+1.85=24.23
25-24.23=0.77
Dion has $23.15 left after taking into account all of his purchases as well as the tax.
Explanation:A simple subtraction issue from the subject of mathematics underlies this query. Dion started out with $25.00. We deduct this $1.85 from his initial sum to determine how much money Dion still has if he bought certain products and paid a tax of $1.85 on his purchases. Dion now has $23.15 left after subtracting $1.85 from the $25.00. This is an illustration of how you must deduct purchases and expenses from a total to determine the balance that is left.
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Please help me!! You don’t need a number just an expression to find the variable
Isolate the B. Note the equal sign. What you do to one side, you do to the other. Subtract C and A from both sides
B + A (-A) + C (-C) = D (-A) (-C)
B = D - A - C
B = D - A - C is your answer
hope this helps
Hey there!!
Given equation :
A + B + C = D
and solve for B
In order to solve for the B, we will need to take all the other variables to the other side.
... A + B + C = D
Subtracting A on both sides.
... B + C = D - A
Subtracting C on both sides.
... B = D - A - C
Hence, we got the value for B.
Hope my answer helps!!
Change 0.625 to a percent.
62.5%
to change a fraction to a percent multiply by 100%
0.625 × 100% =62.5%
WILL MARK BRAINIEST PLEASE HELP Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
It has One solution
the answer should be that it has one solution
The O! Natural Company sells a juice in 1 gallon bottles. The current retail price of the juice is $3.50 for 1 gallon. In order to remain competitive, the company will decrease the price to $3.20. What percent of the original price are consumers going to pay?
Answer:
After the discount, the customer will pay only 91.4% of the initial price.
Step-by-step explanation:
We have that the price of the current retailer, in dollars, is:
3.50
After the discount, the new price, in dollars, is:
3.20
We want to know what percentage of the original price is the final price.
To find out, we must divide the final price between the initial price and then multiply the result by 100%
So:
[tex]\frac{ 3.20}{3.50}[/tex]*100% = 0.914. * 100% = 91.4%
After the discount, the customer will pay only 91.4% of the initial price.
The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price
y=−2x+4
Complete the missing value in the solution to the equation.
(____,-2)
(3, - 2)
given y = - 2, then
- 2x + 4 = - 2 ( solve for x )
subtract 4 from both sides
- 2x = - 6 ( divide both sides by - 2 )
x = [tex]\frac{-6}{-2}[/tex] = 3
The coordinate that completes the solution to the equation is (3, -2)
Given the function y = -2x + 4
We are to find the value of x if y is -2
Substitute y = -2 into the function as shown:
-2 = -2x + 4
Subtract 4 from both sides
-2 - 4 = -2x + 4 - 4
-6 = -2x
x = 6/2
x = 3
Hence the coordinate that completes the solution to the equation is (3, -2)
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round 97.4595 to the thousandth
The thousandth place is the second to the right of the decimal point.
5 and above round UP; 4 and below rounds DOWN
The answer is : 97.46