Sal is 10 years old. If you want to check you can do 10*4+5 and get 45
Puala and kelly are comparing their ruining times.
Puala completed a 10-mile run in 65 minuets.
Kelly completed 10-kilometre run in 40 minuets.
Given that 8 kilometre are equal to 5 miles, whch girl has the greatest average speed?
Kelly's average speed is greater. Paula: ~0.026 miles per minute, Kelly: ~0.156 miles per minute. Kelly's average speed is higher.
To compare their average speeds, let's first convert their distances to the same unit. Since 8 kilometers is equal to 5 miles, we can use this conversion to make both distances consistent.
Kelly ran 10 kilometers, which is [tex]\( \frac{10}{8} \times 5 = \frac{25}{4} \)[/tex] miles.
Now we can compare their average speeds:
Paula's average speed = [tex]\( \frac{10 \text{ miles}}{65 \text{ minutes}} \)[/tex]
Kelly's average speed = [tex]\( \frac{\frac{25}{4} \text{ miles}}{40 \text{ minutes}} \)[/tex]
Now, let's calculate both:
Paula's average speed:
[tex]$\begin{aligned} & \text { Paula's average speed }=\frac{10 \text { miles }}{65 \text { minutes }} \times \frac{1 \text { hour }}{60 \text { minutes }} \\ & =\frac{10}{65} \times \frac{1}{60} \text { miles per minute } \\ & \approx \frac{1}{39} \text { miles per minute }\end{aligned}$[/tex]
Kelly's average speed:
[tex]$\begin{aligned} & \text { Kelly's average speed }=\frac{\frac{23}{4} \text { miles }}{40 \text { minutes }} \times \frac{1 \text { hour }}{60 \text { minutes }} \\ & =\frac{\frac{25}{4}}{40} \text { miles per minute } \\ & =\frac{25}{4} \times \frac{1}{40} \text { miles per minute } \\ & =\frac{25}{160} \text { miles per minute }\end{aligned}$[/tex]
Now, we can compare the two speeds. Since both speeds are in miles per minute, we can directly compare them.
[tex]\[ \frac{1}{39} \text{ miles per minute} \approx 0.0256 \text{ miles per minute} \][/tex]
[tex]\[ \frac{25}{160} \text{ miles per minute} \approx 0.15625 \text{ miles per minute} \][/tex]
Kelly's average speed is greater than Paula's average speed.
Therefore, Kelly has the greater average speed.
The complete question is here:
Paula and Kelly are comparing their running times. Paula completed a 10-mile run in 65 minutes. Kelly completed a 10-kilometre run in 40 minutes. Given that 8 kilometres are equal to 5 miles, which girl has the greater average speed?
One number is four times another. Their sum is 35. Can you help me come up with an equation
A system of linear equations can be set up with x representing the first number and 4x representing the second number, which is four times the first. Solving the equation x + 4x = 35 gives us x = 7, and the second number is 28.
To solve the problem where one number is four times another and their sum is 35, we can set up a system of two linear equations. Let's call the first number x and the second number, which is four times the first, 4x. According to the problem, x + 4x = 35.
Now we can simplify the equation:
Combine like terms: x + 4x = 5x.Equate to 35: 5x = 35. Divide both sides by 5 to solve for x: x = 7.So the first number is 7. To find the second number, we multiply 7 by 4, which is 28. To check our work, we add the two numbers and confirm they sum to 35: 7 + 28 = 35.
Annual fixed costs for a product are $75,000. The product itself sells for $6 and it costs $2 in variable costs to make each product.
By how many units will the annual break-even point for the product change if the variable cost per unit goes up to $2.50?
Given
Annual fixed costs for a product are $75,000.
The product i sells for $6
it costs $2 in variable costs to make each product.
the variable cost per unit goes up to $2.50
find out how many units will the annual break-even point for the product change .
To proof
FORMULA
Break even = Fixed cost ÷ Contribution margin per unit
where
Contribution margin per unit = sale price - variable price
Take two cases
Case first
fixed costs for a product = $75,000
product itself sells = $6
variable costs = $2
put all the value in the above equation
we get
Contribution margin per unit = 6 - 2
= 4
[tex]Break even (say B1 ) = \frac{75000}{4}[/tex]
= 18750 units
CASE SECOND
the variable cost per unit goes up to $2.50
put value inthe formula
Contribution margin per unit = 6 - 2.50
= 3.5
[tex]Break even (say B2 ) = \frac{75000}{3.5}[/tex]
we get
Breakeven (sayB2) = 21428.6 unit
change in the break even product = B2- B1
= 21428.6 - 18750
= 2678.6 unit
Hence proved
The annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
Explanation:To determine the break-even point, we need to calculate the number of units that need to be sold in order to cover the fixed costs. The formula to calculate the break-even point is:
Break-Even Point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)
In this case, the fixed costs are $75,000, the selling price per unit is $6, and the variable cost per unit is $2.
To find the current break-even point, we can substitute these values into the formula:
Break-Even Point = $75,000 / ($6 - $2) = $75,000 / $4 = 18,750 units
If the variable cost per unit goes up to $2.50, we can substitute this new value into the formula to find the new break-even point:
Break-Even Point = $75,000 / ($6 - $2.50) = $75,000 / $3.50 = 21,428.57 units
Therefore, the annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
A proofreader read 195 pages in 7 days. To the nearest hundredth, what is her reading rate in pages per minute?
A: 0.02 pages/min
B: 0.46 pages/min
C: 1.16 pages/min
D: 27.86 pages/min
1 day = 24 hours.
7 days x 24 hours per day = 168 hours
1 hour = 60 minutes.
168 hours x 60 minutes per hour = 10,080 total minutes.
195 pages / 10,080 minutes = 0.019 = 0.02 pages/min.
The answer is A.
The answer is A
This is because 7 days is equivalent to 10080 minutes.
To get the number of pages read per minute, divide 195 by 10080 to get approximately 0.02
There are two connected gears. One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions will the second gear complete, if it has 40 teeth?
The Second gear will complete 75 revolutions.
Hope this helps. I tried using my past knowledge.
60 teeth = 50 revolutions
40 teeth = x revolutions
To figure this out, you can multiply 60 and 50 together to get 3000, and 40 and x to get 40x.
If you solve this equation, 40x = 3000,
x = 75
Hope this helped!
whats the answer 4−d<4+d
Final answer:
The inequality 4 − d < 4 + d solves down to d > 0, meaning any positive number for d will satisfy the inequality. We achieve this by eliminating like terms and isolating the variable on one side.
Explanation:
To solve the inequality 4 − d < 4 + d, we want to find the values of d that make the inequality true. We can do so by following these steps:
Subtract 4 from both sides of the inequality to simplify it: 4 − d − 4 < 4 + d − 4, which simplifies to −d < d.
Add d to both sides to get all the d terms on one side: −d + d < d + d, which simplifies to 0 < 2d.
Divide both sides by 2 to solve for d: 0 / 2 < 2d / 2, which simplifies to 0 < d.
The solution to the inequality is d is greater than 0. In other words, any positive number for d will satisfy the inequality.
What fraction is halfway between 9/10 and 10/10. Question 8
[tex]\frac{-9.5}{10}[/tex] is halfway between [tex]\frac{-9}{10}[/tex] and [tex]\frac{10}{10}[/tex].
hope that helps :)
Which of the following is NOT true about the following equation? y=−5 It is perpendicular to the equation y=15x−3. Its slope is zero. The line does not cross the x-axis. It is the equation of a horizontal line.
A number (A) is 50% larger than (C). Another number (B) is 25% larger than (C) How many percent bigger is (A) than (B)?
A is twice ( 200%) lager than b
The steps need to solve this equation -24-1/8p=3/8p
-24-1/8p=3/8p
Rewrite as
3/8p=-24-1/8p
Add -1/8p both sides
1/2p= -24
Multiply 2 to each side
P= -24(2)
P=-48
The value of p is 48 for the equation 24 - 1/8p = 3/8p.
To solve this equation -24 - 1/8p = 3/8p.
24 - 1/8p = 3/8p.
Subtract 24 on both side,
24 - 1/8p -24 = 3/8p - 24,
- 1/8p = 3/8p - 24
Add 1/8p on both side,
1/8/p - 1/8p = 3/8p - 24 + 1/8p
0 = 1/2p -24
24 = 1/2p
p = 48.
Therefore, the value of p is 48.
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Analyze the following pattern: 1, 2, 5, 10, 17, ...
Part I: Describe the pattern. (1 point)
Part II: What is the 8th term of the pattern? Show your work. (1 point)
The pattern is [tex]n^2-2n[/tex]
And, the 8th term of the pattern is 48.
Given that,
The pattern is 1,2,5,10,17.....Based on the above information, the calculation is as follows:
1 2 5 10 17
Here second number is calculated by adding 1, the third number is calculated by adding 3, the fourth number is calculated by adding 5, and the last number is calculated by adding 7
So,
+1 +3 +5 +7
+2 +2 +2
Now
[tex]2\div 2=1[/tex]
Therefore it starts with [tex]n^2[/tex]
[tex]n^2[/tex] = = 1 4 9 16 25
-0 -2 -4 -6 -8
-2 -2 -2 -2
Therefore we have -2n
Now
The 8th term should be
[tex]= 8^2- 2\times 8[/tex]
= 64-16
= 48
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What's the equation for 5.2 more than the quotient of h and 3 is w
h/3 + 5.2 = w
"More" stands for adding, and "quotient" stand for division.
Hope this helps!
The equation for '5.2 more than the quotient of h and 3 is w' is 'h/3 + 5.2 = w'. This means h divided by 3, plus 5.2, equals w.
Explanation:The subject of this question is Mathematics and it involves the creation of a mathematical equation. When the question states 'the quotient of h and 3', it means 'h divided by 3'. So, that part of the equation would be written as 'h/3'.
When the question says '5.2 more than', that indicates you are adding 5.2 to the previous value. So, the whole left side of the equation would be 'h/3 + 5.2'.
Finally, the question states 'is w', which means 'equals w'. So, the entire equation would be written as 'h/3 + 5.2 = w'.
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what is 14÷426 this is to help me for my hw
14 / 426 = 0.09389
Hope this helps!
7/213 in fraction and 0.03286384977 in decimal form
sara bought two board of wood for a club project. one board is 18 inches long, and the other board is 30 inches long. she wants to cut the wood into the longest equal-sized pieces possible with no wood left over sara wonders if she has enoughwood for ten equal-sized pieces.
Answer:
No, Sara can only cut 8 equal-sized pieces with maximum longitude and no wood left over.
Step-by-step explanation:
For finding which longitude meets the requirements (to be the longest with no wood left over) we must decompose 18 and 30 in their prime factors.
For doing so, we look for the prime numbers that divide 18 and 30, as follows
18 | 2 30 | 2
9 | 3 15 | 3
3 | 3 5 | 5
1 1
Thus 18=2*3*3, and 30=2*3*5.
The maximun number that divides both 18 and 30 must be 2*3=6, because these are the prime numbers that both decompositions have in common.
6 represents the maximum longitude for a piece of wood with no leftovers.
Since 18/6=3, and 30/6=5, we can only obtain 5+3=8 wood pieces from the boards.
Of course, we can cut in a half the 8 pieces obtaining 16 equal-sized pieces of wood, but unfortunately, they won't be the longest pieces possible.
when steve woke up. his temperature was 102° F. two hours later it was 3° lower. what was his temperature then?
A lower temperature suggests a subtraction.
Wake up temperature: 102° F
Temperature two hours later: 3° F lower, or -3° F
Temperature two hours later: 102° F - 3° F = 99° F
Answer: 99° F
Which rule transforms quadrilateral ABCD to quadrilateral A'B'C'D'?
A. (x,y)---->(x,-y-4)
B. (x,y)---->(x+6,-y)
C. (x,y)---->(x+6,y-4)
D. (x,y)---->(-x,y-4)
Answer:
The rule transforms the quadrilateral ABCD to quadrilateral A'B'C'D' is given by
D.(-x,y-4).
Step-by-step explanation:
Given quadrilateral ABCD transform into new quadrilateral A'B'C'D.
The transformation is a special rule by which to determine the coordintae of image point of any coordinate of given point . The transformation can be rotation, reflection, dialtion etc.
In given figure of qudrilateral ABCD
Coordinate of A (-5,4)
Coordinate of B(0,1)
Coordinate of C (-4,0)
Coordinate of D (-6,2)
In II figure of quadrilateral A'B'C'D
Coordinate of A' (5,0)
Coordinate of B' (0,-3)
Coordinate of C' (4,-4)
Coordinate of D' (6,-2)
Then we can see that coordinate of A (-5,4) change into A' (5,0)
It means x change into -x and y change into y-4
Similarly in same way B (0,1) change into B'(0,-3)
C(-4,0) change into C'(4,-4) and D( -6,2) change into D'(6,-2)
Hence, the correct transformation (x,y) into (-x,y-4).Samantha has 40 minutes to complete both a Math quiz and a spelling quiz. She completes the spelling quiz in 9 minutes. It takes her 3 times as long to complete the Math quiz. How much time does she have left over?
If her spelling quiz was 9 minutes and her math quiz was 3 times as long you find that answer by doing the following math.
9x3=27 minutes (time for her math quiz)
27 minutes + 9 minutes = 36 minutes
40 minutes - 36 minutes = 4 minutes
The table below shows measurements (in inches) from cubes with different side lengths.
Which pairs of variables have a linear relationship? Check all that apply.
side length and perimeter of 1 face
perimeter of 1 face and area of 1 face
surface area and volume
area of 1 face and surface area
side length and volume
Answer:
Only side length and perimeter of one face
Step-by-step explanation:
Given is a cube with measures given in inches.
For a cube
Volume = s^3 where s = side
Hence volume and side are not having linear relation
Perimeter of 1 face = 4s and area =s^2
Obviously 4s and s^2 cannot have linear relationship as degree is diferent
Surface area of cube = 6s^2 but volume = s^3 both have different degrees of s and hence cannot have linear relation
Area of 1 face = s^2 and surface area = 6s^2
THus we get Surface area = 6(area of 1 face) hence can have linear relationship
side length =s and volume = s^3 so cannot have linear relaionship
Side length =s and perimeter = 4s thus having linear relation.
Hence answers are
side length and perimeter of 1 face
area of 1 face and surface area
A linear relationship is represented by [tex]y = mx + b[/tex], where [tex]m \ne 0[/tex]. The linear relationships are:
Side length and perimeter of 1 face Area of 1 face and surface area
Let
[tex]x \to[/tex] side length of the cube
A. Side length and perimeter of 1 face
The perimeter (P) of one face is:
P = 4 x Side length
[tex]P =4 \times x[/tex]
[tex]P = 4x[/tex]
Compare the above equation to [tex]y = mx + b[/tex].
We can conclude that (a) is a linear relationship
B. Perimeter of 1 face and area of 1 face
We have:
[tex]P = 4x[/tex]
Make x the subject
[tex]x= \frac{P}{4}[/tex]
The area of 1 face is:
[tex]A = x^2[/tex]
Substitute [tex]x= \frac{P}{4}[/tex]
[tex]A = (\frac P4)^2[/tex]
[tex]A = \frac{P^2}{16}[/tex]
Compare the above equation to [tex]y = mx + b[/tex].
We can conclude that (b) is not a linear relationship
C. Surface area and volume
The surface area is:
[tex]S=6x^2[/tex]
The volume is:
[tex]V = x^3[/tex]
Make [tex]x^2[/tex] the subject in [tex]S=6x^2[/tex]
[tex]x^2 = \frac S6[/tex]
So, we have:
[tex]V = x^3[/tex]
[tex]V = \frac S6x[/tex]
Compare the above equation to [tex]y = mx + b[/tex].
We can conclude that (c) is not a linear relationship
D. Area of 1 face and surface area
The surface area is:
[tex]S=6x^2[/tex]
The area of 1 face is:
[tex]A = x^2[/tex]
Substitute [tex]A = x^2[/tex]
[tex]S = 6A[/tex]
Compare the above equation to [tex]y = mx + b[/tex].
We can conclude that (d) is a linear relationship
E. Side length and volume
The volume is:
[tex]V = x^3[/tex]
Compare the above equation to [tex]y = mx + b[/tex].
We can conclude that (e) is a not linear relationship
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Solve for x.
52-2x=4
[tex]52-2x=4\\\\2x=48\\\\x=24[/tex]
Answer: x = 24
Step-by-step explanation:
52 - 2x = 4
-52 -52
__________
-2x = -48
___ ___
-2 -2
x = 24
hope this helps! ❤ from peachimin
What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4?
Judging from the graph (attached), there is one negative and one positive zero. Since this is a 4-th order polynomial, it has 4 zeros in total. So there are 2 complex zeros with imaginary components.
Cala uses 2 pounds of Feed-All fertilizer for a 100 foot row of vegetables at her farm. At this rate, how many pounds of fertilizer would she use for a 450-foot row of vegetables? Explain
Answer
Find out the how many fertilizer she used for a 450-foot row of vegetables.
To proof
let us assume that the fertilizer would she use for a 450-foot row of vegetables be x.
As given
Cala uses 2 pounds of Feed-All fertilizer for a 100 foot row of vegetables at her farm.
than the equation becomes
[tex]x = \frac{2\times450}{100}[/tex]
solving the above
x = 9 pound
Therefore 9 pound are used for a 450-foot row of vegetables.
Hence proved
PICKING BRAINLIEST ANSWER!!!!!!!!!! Which graph shows a dilation?
Answer:
The last graph.
Step-by-step explanation:
In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle. This is not proportional for all sides, so this is not a dilation.
In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle. Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio. Since it is proportional for all sides, this is a dilation.
Answer:
Last GRaph
Step-by-step explanation:
SOMEONE HELP
plz and thank you
Answer: 60 mph
=================================================================
Explanation:
R*T = D is the same as D = R*T
The D value is unknown, but it is the same for both cars since each car traveled the same distance.
The rate or R value for car A is some unknown x. For car B, R = x+15 because it traveled 15 mph faster than car A.
For car A, T = 2. For car B, T = 1.5
---------------------------------
The equation for car A is going to be D = x*2 or D = 2x. Note how I replaced R and T with x and 2 respectively.
The equation for car B is D = (x+15)*1.5 which distributes and simplifies to D = 1.5x+22.5
Because we're dealing with the same D value for both equations, we can equate the two right hand sides and solve for x
D = 2x
1.5x+22.5 = 2x ..... replace D with 1.5x+22.5
22.5 = 2x-1.5x
22.5 = 0.5x
0.5x = 22.5
x = 22.5/0.5
x = 45
So car A's speed was 45 mph. Add on 15 to get
x+15 = 45+15 = 60
which is car B's speed
side note: car A travels a distance of D = R*T = 45*2 = 90 miles; while car B travels a distance of D = R*T = 60*1.5 = 90 miles. Both cars traveling the same distance helps us confirm we have the right answer.
---------------------------------
So this is why the final answer is 60 mph
How many factors are in 20
the factors are: 1,2,4,5,10,20. So Therefore there are 6 factors.
Prime numbers have only one rectangular array. Numbers with four factors have two types of rectangular array: 8 has 1 x 8 and 2 x 4. Numbers with six factors have three rectangular arrays: 20 has 20 x 1, 10 x 2, and 5 x 4.
42.85714 as a percent
4,285.714%
unless you need it siplified?
Answer:
4285.714%
Step-by-step explanation:
Multiply 42.85714 by 100 to convert to percent:
42.85714 × 100 = 4285.714 %
Hope this helps :-)
idk how to do these problems cause I keep getting confused
Problem 5
x = number of songs downloaded
MyTunes charges $2.50 per song, so you pay 2.50*x dollars if you download x songs. If M is the cost of using MyTunes, then M = 2.50*x.
Let G be the cost of using Great Songs. The equation here is G = 1.50*x+50. We have 1.50*x representing the cost of downloading x songs (at 1.50 dollars a piece) plus the membership fee of $50. So the total cost here is 1.50x+50 dollars.
We want to find out when Great Songs is a better deal, so we want to determine what x values make G smaller than M
(Great Songs Cost) < (MyTunes Cost)
G < M
1.50x+50 < M ................................... replace G with 1.50x+50
1.50x+50 < 2.50x ............................. replace M with 2.50x
1.50x+50-1.50x < 2.50x-1.50x ....... subtract 1.50x from both sides
50 < 1.00x
50 < x
x > 50
If you download more than 50 songs, then Great Songs will be the better deal since it will be the cheaper plan.
please help solve
|y|=-18
Answer:
Step-by-step explanation:
+y = -18
-y = -18
If my dad gets home at 5:30 and it is 4:22 how many more minutes do we wait
(Easy)+(20 points)
insert parenthesis in expression 2 so that it has a value of 19. then show why your expression has a value of 19.
I've already done the work:
(5+4)*2+6-2*2-1=19 (i added the parenthesis)
but i dont know how to show why it makes 19 so yeah could someone put an explanation or something
The reasoning behind why it equals 19 is because you use PEMDAS (aka: Order Of Operations). When you solve, you solve in the same order PEMDAS, so you first solve the parenthesis. Next, you'd solve exponents, but in this case, there are none. So, you solve the multiplication and/or division (from left to right). Finally you'd solve completely, by adding and subtracting (from left to right). Doing all these steps would give you your answer of 19.
I hope this helps!
A barn silo (except the top) is a cylinder. The silo is 10 m in diameter and the height is 24. What's the volume? (use 3.14 for pi if necessary)
Volume of cylinder= /pi r square h
Taking /pi as 22/7
r= diameter/2
=5m
h=24m
V= 22/7*5 square*24
V=22*25*24/7
V=13200/7
V=1885.7 m cube