Answer:
a. 1.2 minutes
b. 0.83 laps
c. 25.2 minutes
Step-by-step explanation:
Lin runs 5 laps around a track in 6 minutes.
a. How many minutes per lap is that?
5 laps = 6 minutes
1 laps = x minutes
Cross Multiply
x minute × 5 laps = 6 minutes × 1 laps
x minute = 6 minutes × 1 laps/5 laps
x laps = 1.2 minutes
Hence, it is 1.2 minutes per lap
b. How many laps per minute is that?
6 minutes = 5 laps
1 minute = x laps
Cross Multiply
6 minutes × x laps = 1 minute × 5 laps
x laps = 1 minute × 5 laps/6 minutes
x laps = 0.8333333333 laps
Hence, it is 0.83 laps per minute.
c. If Lin runs 21 laps at the same rate,
5 laps = 6 minutes
21 laps = x minutes
Cross Multiply
x minute × 5 laps = 6 minutes × 21 laps
x minute = 6 minutes × 21 laps/5 laps
x laps = 25.2 minutes
Hence, it takes her 25.2 minutes
Cindy struck out 7, 14, 6, 4, 5, and 6 batters in softball games this season. In discussing her stats with a newspaper reporter, Cindy's coach mentions that the average number of Cindy's strikeouts is 7. Is the coach's statement misleading? Explain why or why not.
Answer:
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
Step-by-step explanation:
The average is taken out by adding the observations and dividing by the total number of observations.
X`= ∑x/n where n is the number of observations.
Average = 7 + 14 + 6 + 4 +5 +6 /6
Average = 42/6= 7
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
please help please
Which relations are functions? Select all that apply.
A. (3, 2), (-1, 7),(-3, 1), (0.9), (2, -4)
В.
х
-4
-2
у
9
12
15
c
x
1
2
3
4
y
2
4
6
13
D
Answer:
A and C
Step-by-step explanation:
For any relation to be considered a function, each domain value (x-value) must have exactly one range value (y-value). If a relation contains an x-value that has two or more y-value related/mapped to it, the relation is not a function.
Let's examine each option given.
Option A: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.
Option B: the x-value, 4, has two y-values, 12 and 15 assigned to it. Therefore, the relation is NOT A FUNCTION.
Option C: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.
Option D: the x-value, 1, has two y-values, -1 and 1 assigned to it. Also, x-value, 3, has two y-values, 2 and -2 assigned to it. Therefore, the relation is NOT A FUNCTION.
Please help you get 14 points
Answer:
false
Step-by-step explanation:
because 17.5×4 doesnt equal 20
three segment measures are given. the three points named are collinear. determine which point is between the other two.
1. XY = 15, AY = 31, AX = 46
2. AB = 12, BC = 20, AC = 32
3. MO = 75, MC = 34, OC = 41
4. DE = 58, GE = 12, DG = 70
Answer:
1.
Step-by-step explanation:
31+25=46
AY+YX=AX
A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.
Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce
What is the average error in the scale displays?
–4 ounces
–1 ounces
0 ounces
1 ounce
Answer:
-1
Step-by-step explanation:
Plot the image of triangle \triangle ABC△ABCtriangle, A, B, C under a reflection across line \ellℓell.
Answer:
Please find attached the required plot of the reflection of ABC across line l
Step-by-step explanation:
The reflection of the coordinates of the points of a preimage across a line is given by points with distances on the other side of the line of the same length as the distances of the coordinates of the points of the preimage are from the given line;
Therefore, the image of the preimage is drawn by selecting points on the other side of the reflecting line that are equidistant from the line as the points of the preimage, and that are directly (vertically) opposite the points on the other side of the line as shown in the attached graph drawn with Microsoft Word
Q is equidistant from the sides of ZTSR. Find mZRST. The
diagram is not to scale.
PLEASE HELP ME THIS IS FOR GEOMETRY I CANT FIGURE THIS OUT
9514 1404 393
Answer:
40°
Step-by-step explanation:
Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:
3x +2 = 4x -4
6 = x
Then the total angle measure of angle RST is ...
(3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees
m∠RST = 40°
5. Your friend has a job at a fast food restaurant wrapping hamburgers. How many
hamburgers will they have to wrap to make one million dollars?
Every 3 hours they wrap 350. hamburgers.
They work 8 hours per day; 5 days per week.
They are paid every 2 weeks with a salary of $725.77.
9514 1404 393
Answer:
12,859,905 hamburgers
Step-by-step explanation:
Each conversion factor has a value of 1, but changes units. That is, the value of the numerator is the same as the value of the denominator, but expressed in different units.
We choose the representation of the conversion factors to cancel units we don't want and give us units we do want.
[tex]\$1\,000\,000=\$1\,000\,000\times\dfrac{2\text{ week}}{\$725.77}\times\dfrac{5\text{ day}}{1\text{ week}}\times\dfrac{8\text{ h}}{1\text{ day}}\times\dfrac{350\text{ burgers}}{3\text{ h}}\\\\=\dfrac{1\,000\,000\times2\times5\times8\times350}{725.77\times3}\text{ burgers}\approx\boxed{12\,859\,905\text{ burgers}}[/tex]
__
Additional comment
That's a little over 55 years, if they take 2 weeks off each year.
After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If you visit the restaurant 100 times, on which visits will you receive a free beverage and a free appetizer? At which visit will you first receive a free beverage and a free appetizer? Drag and drop the correct value into each box to complete the statement. You will receive a free beverage and a free appetizer on the and visits, and you will first receive a free beverage and a free appetizer on the visit.
Answer:
40th and 80th visit
the first visit where you receive both is the 40th
Step-by-step explanation:
personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:
both rewards would happen only twice, at the 40th and 80th visit.you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.
Answer:
Step-by-step explanation:
1. Carlos is trying to read 12 pages of his book a night. The book has 156 pages. How many days, d, will it
take him to finish the book? Choose the equation below that models this situation.
A. 12d = 156
B. 1560 = 12
C.
156
12
D.
12
=d
156
Answer:
12d = 156
Step-by-step explanation:
Carlos is reading 12 pages / day
The total amount to read is 156
In order to find the days, you have to divide 156 by 12 or
Equation:
12d = 156; furthermore
d = 13 days, meaning it will take 13 days to read 156 pages.
Answer:
A. 12d = 156
Step-by-step explanation:
The book has a total number of 156 pages. If he reads 12 pages per night, we need to multiple the total number of days by the amount he reads per night in order to get 156. Since we don't know how many days it will take, we will use d to represent the amount of days. So, the equation ends up looking like this:
12d = 156
d represents the amount of days it will take for Carlos to read the book.
Find the measurement
Answer:
AC = 40
Step-by-step explanation:
AC and BD are equal to each other in length. So:
4x-4 = 3x+7
Now you solve for x. Add 4 to each side.
4x= 3x + 11
Then subtract 3x from both sides.
X = 11. There you have X, now you plug 11 in for x in the AC= 3x+7
3(11) + 7 = AC
33 + 7 = AC
40 = AC
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes?
Answer:
560 $
Step-by-step explanation:
4 shoes is 80
so, we have to multiply
$140
Or
£140
You are American so its the first one
4 divided by 2/3
pls pls pls pls pls help pls pls
Answer:
4 divided by 2/3 (4 ÷ 2/3) = 6
Step-by-step explanation:
When you divide one number by another , this is the same as multiplying that one number by the reciprocal of that other number. So a/b = a × 1/b = a × b^-1.
Also a reciprocal is the same as taking something to the power of -1.
When you take the reciprocal of a fraction, just flip the numerator, and denominator.
b^-1 = 1/b.
b^-n = 1/b^n.
(a/b)^-1 = b/a
a/b^-1 = ab
Therefore 4 / (2/3) = 4 × 3/2 = 12/2 = 6.
Answer:
6
Step-by-step explanation: 4 ÷ (2 ÷3)=6
Which unit rate is the lowest price per ounce? Choice A: 6 ounces of raisins for $2.98 Choice B: 13 ounces of raisins for $7.18 *
Answer:
Choice B.
Step-by-step explanation:
2.98 divided by 6 = 0.4966∞ (rounded to the nearest hundredths) 0.50
7.18 divided by 13 = 0.5523076923 (rounded to the nearest hundredths) 0.55
The difference is 5 cents.
~~~Hope this helps~~~ :)
Answer:
choice b
Step-by-step explanation:
How do I solve this equation and check the solutions?
Answer:
The value of x is 10.
Step-by-step explanation:
The steps to do this :
[tex]x - \sqrt{2x + 5} = 5[/tex]
[tex]x - 5 = \sqrt{2x + 5} [/tex]
[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]
[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]
[tex] {x}^{2} - 12x + 20 = 0[/tex]
[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]
[tex]x(x - 2) - 10(x - 2) = 0[/tex]
[tex](x - 2)(x - 10) = 0[/tex]
[tex]x = 2 \: (rejected)[/tex]
[tex]x = 10[/tex]
A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.
PLEASE ANSWER FAST
Answer:
ayy
Step-by-step explanation:
sup
Answer:
12 4/5
Step-by-step explanation:
you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve
What steps would you follow in order to solve the equation?
w/8 - 4 = 20
add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8
Answer:
Step-by-step explanation:
w/8-4=20
add 4 to each side
w/8=24
multiply by 8 to clear out the w on one side
w=192
what is 0.00000000007234 written in scienific from guysss help mee plss
Answer:
7.234
Step-by-step explanation:
I think this right lol lmk
Answer:
[tex]7.234\times10^{11}[/tex]
Step-by-step explanation:
In order to find the scientific notation of a number you must count the zeros.
[tex]0.00000000007234[/tex]
[tex]zeros=10[/tex]
[tex]7.234\times10^{11} =.00000000007234[/tex]
Remember you have to move the decimal point 11 times to get the decimal to where it is in standard form.
Hope this helps.
Denise guessed that the elephant at the zoo weighed 10,000 pounds. It actually weighed 12,400 pounds. Yesia guessed that the hippopotamus weighed 2,500 pounds and it actually weighed 3,600 pounds.Whose guess had the smaller percent error?
Answer: weight of elephant has smaller percent error.
Step-by-step explanation:
Percent error = [tex]\dfrac{|\text{estimated value -actual value}|}{\text{actual value}}]\times100[/tex]
Estimated weight of elephant = 10,000 pounds
Actual weight of elephant = 12,400 pounds
Percent error of weight = [tex]\dfrac{|12400-10000|}{12400}\times100\%\approx19.35\%[/tex]
Estimated weight of hippopotamus = 2,500 pounds
Actual weight of hippopotamus = 3,600 pounds
Percent error of weight = [tex]\dfrac{|2500-3600|}{3600}\times100\%\approx30.55\%[/tex]
Since 19.35 < 30.55
hence, weight of elephant has smaller percent error.
In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only
Answer:
None of them like the android tablet
Convert 9.7 liters to milliliters
Answer:
9700 milliliters
Step-by-step explanation:
9.7 liters is equivalent to 9,700 milliliters.
To convert liters to milliliters, we need to multiply the given value by 1,000 since there are 1,000 milliliters in 1 liter.
So, to convert 9.7 liters to milliliters, we multiply 9.7 by 1,000:
9.7 liters * 1,000 = 9,700 milliliters.
Therefore, 9.7 liters is equivalent to 9,700 milliliters.
The conversion from liters to milliliters involves shifting the decimal point three places to the right since each milliliter is 1/1,000th of a liter. This conversion is essential when dealing with smaller units of volume and allows for more precise measurements in contexts such as laboratory experiments or pharmaceutical dosages.
Learn more about conversion here
https://brainly.com/question/30387440
#SPJ6
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation
(x – 8)2 = 144, x represents the side measure of the original lawn.
Answer:
The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.
how to estimate 26% of 322
Answer:
83.72
Step-by-step explanation:
26 percent *322 =
(26:100)*322 =
(26*322):100 =
8372:100 = 83.72
Answer:
83.72 or 84
Step-by-step explanation:
26% x 322=
26 / 100 x 322=
(26 x 322) / 100
83.72 / 100 = 83.72
83.72 = 84
Please help me with THIS! :(((
Answer:
<C = <F
<B = < E
<A = < D
AB = DE
CA = FD
BC = EF
The triangles are basically the same, they are in corresponding order.
Hope I helped! Brainliest Appreciated!
Grace can read 840 words in 7 minutes. At that rate, how many words can she read in one hour
Answer:
5740
Step-by-step explanation:
evaluate the expression for the give value of the variable.
3d — 4
d = 1.2
The rhombus QRST is made of two congruent isosceles triangles. Given m∠QTS = 64, what is the measure of ∠Q?
Answer:
The measure of Q is 116
Step-by-step explanation:
For a Rhombus, opposite angles are equal
so angle R is 64 too
Now, we should understand that the diagonals bisect the angles
So the angles in the triangle QTR are
Q + 32 + 32 = 180
Q = 180-64
Q = 116 degrees
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. 2, 7
Answer:
x²-9x+14
Step-by-step explanation:
So the roots are 2,7
So the equation is
(x-2)(x-7)
=x²-2x-7x+14
=x²-9x+14
Evaluate the expression -36/-9
Please help me answer number 12
Answer:
It is same.
The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.
Thank you and please rate me as brainliest as it will help me to level up