It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
Find out more at: https://brainly.com/question/23774048
Cinemark is having a summer special.If you get a membership one-time cost is $12.50 plus $2.00 per movie that you watch.Write a linear equation that will show the cost of membership and each movie seen
Answer:
Y=12.50x+2.00
Step-by-step explanation:
The linear equation that will show the cost of membership and each movie seen will be C = 2n + 12.5.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Cinemark is having a summer special. If you get a membership one-time cost is $12.50 plus $2.00 per movie that you watch.
The slope of the line is $2.00 and the y-intercept of the line is $12.50.
Let C be the total cost and n be the number of movies. Then the linear equation will be
C = 2n + 12.5
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Explain how to describe the data on a histogram. Write 3-5 sentences.
Solve the linear equation x + 4 + 3x = 72. State the property that justifies your first step and why you chose it
Please Help!!!!!!!!!
Answer:
x=17
Step-by-step explanation:
x+4+3x=72
4x+4-4=72-4
4x/4=68/4
x=17
Associative property of addition
Answer: x = 17
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer
Answer:
x = -7/5
Step-by-step explanation:
3( x - 6 ) - 8x = -2 + 5(2x + 1)
3x - 18 - 8x = -2 + 10x + 5
-5x - 18 = 3 + 10x
-5x - 10x = 3 + 18
-15x = 21
x = [tex]-\frac{7}{5}[/tex]
The hanger image below represents a balanced equation.
60
U
Find the value of u that makes the equation true.
Answer:
12
Step-by-step explanation:
Essentially, 60 and the 5 us must be equal:
60=5u
Divide both sides by 5 to solve for u but keep the equation balanced.
12=u
Answer:
the answer is 12
NEED HELP PLSS!!!
pls dont answer if you dont know
Answer:
the second one is 343 to the 5 power
Step-by-step explanation:
thats all i know
srry honey
Answer:
[tex]16 {x}^{14} [/tex]
[tex] {7}^{15} [/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDASgiven:(8x⁸)(2x⁶)(7³)⁵tips and formulas:[tex]( {hx}^{a} )(g {x}^{b} ) = hg {x}^{a + b} [/tex][tex]( {x} ^{a} )^{b} < = > {x }^{ab} [/tex]let's solve:[tex](8 {x}^{8} )(2 {x}^{6} ) \\ 8 \times 2 \times {x}^{8 + 6 } \\ 16 {x}^{14} [/tex]
[tex]( {7}^{3} ) ^{5 } \\ {7}^{5 \times 3} \\ {7}^{15} [/tex]
Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
A
1 out of 3
B
1 out of 6
с
3 out of 6
D
5 out of 6
Answer:
C) [tex]P(E) = \frac{3}{6}[/tex]
The probability that Mae will roll an odd number
[tex]P(E) = \frac{3}{6}[/tex]
Step-by-step explanation:
Step(i):-
Given that Mae has a number cube with 6 sides that are numbered 1 through 6.
n(S) = { 1,2,3,4,5,6,} = 6
Let 'E ' be the event of odd numbers
Mae will roll an odd number
n(E) = {1, 3, 5} = 3
Step(ii):-
The probability that Mae will roll an odd number
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}[/tex]
[tex]P(E) = \frac{3}{6}[/tex]
The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?
Answer:
Step-by-step explanation:
The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?
Given data
cost to manufacture a hair clip is $0.50
markup of 200%
Required
The selling price
We know that
Mark up percent= selling-cost/cost*100
200= selling-0.5/0.5*100
200-selling= 50/0.5
200-selling= 100
selling= 200-100
selling = 100
Hence the selling price is $100
A 12 pound Turkey takes about 90 minutes to cook. How many hours would it take to cook a 20 pound turkey?
Answer:
2.5 hours
Step-by-step explanation:
it takes 7.5 min to cook each pound, so, take 20 times 7.5 to get the amount of time.
$35 bill before tax
tax:5.8%
Tip:21%
Answer:
If tip goes only on amount but not on tax: $44.38
If tip goes on total including tax: $44.81
Step-by-step explanation:
If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.
tax + tip = 5.8% + 21% = 26.8%
100% + 26.8% = 126.8% = 1.268
1.268 * $35 = $44.38
If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.
Bill before tax: $35
Add 5.8% tax: 1.058 * $35 = $37.03
Add tip to the amount including tax: 1.21 * $37.03 = $44.81
Find the smallest number that is divisible by both 18 and 48.
Answer:
144
Step-by-step explanation:
write out the 18 and the 48 times tables until you find the smallest number that is in both times tables. and there's your number :)
HELP! please :)
if anybody can help me i'd be very happy!
Answer:
x = 18
Step-by-step explanation:
6x + 4x = 180
combine like terms
10x = 180
divide both sides of the equation by 10
10x/10 = 180/10
x = 180/10
x = 18
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle. (4x) (3x+13)
Answer:
12x2+52x
Step-by-step explanation:
Consider the two expressions.
Expression 1 −4(9x−2)+3
Expression 2 −36x+k
What value of k will make the two expressions equivalent
Answer:
11
Step-by-step explanation:
Write the equation of the line with the given slope and y-intercept
Answer:
A) y = x - 3/4
Step-by-step explanation:
The equation of the line with slope m and intercept b is
y = mx + b
Here were have slope = m = 1.
y-intercept = b = -3/4
Equation:
y = mx + b
y = 1x + (-3/4)
y = x - 3/4
Answer: A) y = x - 3/4
The Texas Renaissance Festival charges an entrance fee of $10 and $0.50 per ticket for the rides. The State Fair of Texas charges an entrance fee of $16 and requires $0.25 per ticket for the rides. How many tickets must be bought in order for the total cost at The Texas Renaissance Festival to be the same as The State Fair of Texas?
a
8
b
24
c
16
d
12
9. Factorize: 6x2 - 19x + 14.
Answer:
Step-by-step explanation:
Here, we want to factor the given polynomial
We have this as;
6x^2 - 19x + 14
= 6x^2 -12x-7x + 14
= 6x(x-2) -7(x-2)
= (6x-7)(x-2)
6x^2-19x + 14 = (6x-7)(x-2)
Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.
What is the angle of B
I need help what is the diameter of this circle?
Answer:
14cm
Step-by-step explanation:
the diameter is 2x the radius
Pls help it would be a big help rn
Answer:
1.5 g/mm³
Step-by-step explanation:
Density = [tex]\frac{Mass}{Volume}[/tex]
[tex]\frac{3}{2}[/tex] = 1.5 g/mm³
What is 3/4 divided 1/2
Answer:
1.5
Use KCF to solve this problem
Answer:
1 1/2
Step-by-step explanation:
When dividing fractions, use Keep Change Flip, to get 3/4*2/1, this gives you 6/4, which is equal to 1 1/2
Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol
Answer: C
Step-by-step explanation:
a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are possible if letters and digits cannot be repeated?
Step-by-step explanation:
Choosing 4 digits out of 10 = 10C4 = 210.
Arranging the 4 digits in 4 places = 4!
Total number of ways to arrange digits
= 210 * 4! = 5040.
Choosing 2 letters out of 26 = 26C2 = 325
Arranging the 2 letters in 2 places = 2!
Total number of ways to arrange letters
= 325 * 2! = 650.
Total number of possible license plates
= 5040 * 650 = 3,276,000.
Answer:
3,276,000
Step-by-step explanation:
10 x 9 x 26 x 25 x 8 x 7 = 3,276,000
the numbers 10, 9, 8, 7 are the spaces available for a non-duplicated digit
the numbers 26 and 25 are for two non-duplicated letters
Solve for a missing factor,
1. ____ x 10 = 320
2. 10 x 17 = ____
3. ____ tens = 290
Answer:
1. 32
2. 170
3. 29
Step-by-step explanation:
1. is just 10 divided by 320, which gives you 32
2. is 10 times 17 which is 170
3. you need 29 tens to get 290.
Plsssss helpppppppppp meeeeeeeeee
Answer:
x = 14, y = 37
Step-by-step explanation:
The angle vertical to (9x + 12 )° and 3x are same- side interior angles and are supplementary, sum to 180°, then
9x + 12 + 3x = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14, so
3x = 3 × 14 = 42
3x and 4y - 10 are adjacent angles and supplementary, then
3x + 4y - 10 = 180
42 + 4y - 10 = 180
4y + 32 = 180 ( subtract 32 from both sides )
4y = 148 ( divide both sides by 4 )
y = 37
Last question on homework I’m having trouble with ^_^
Answer:
25 + h
f^2
Step-by-step explanation:
It says the sum of 25 and h which is 25 + h.
Now, it basically says "25 + h" is divided by f cubed. Cubed means to the power of 2 (the exponent), so f cubed would be f^2 (f to the power of 2).
25 + h is divided by f^2
25 + h
f^2
(the reason I put "^2" is because I don't know how to put exponents on here, sorry)
consider the two functions which statement is true?
Answer:
A
Step-by-step explanation:
I don’t know how to answer this
Answer:
m∠1=66
m∠3=66
m∠4=114
Step-by-step explanation:
m∠1+m∠2=180
m∠1+114=180
m∠1=66
m∠1=m∠3
66=m∠3
m∠4=m∠2
m∠4=114
If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?
Answer:
Value of 8x -5y + 7 is 4.
Step-by-step explanation:
Given that:
8x-5y = -3 Eqn 1
It is a true equation.
Now we have to find the value of the given expression
8x -5y + 7
Putting value of 8x-5y from Eqn 1 in the given expression
8x - 5y + 7
-3 + 7
4
Therefore,
8x - 5y + 7 = 4
Hence,
Value of 8x -5y + 7 is 4.
Pls help semester ends to day pls help with both 16 and 17
Answer:
Step-by-step explanation:
16. -73.5 ft / 3 min = -24.5 ft/min
17. ($50.25 - $22.50 + $50.25 - $22.50 - $22.50) / 5 = $33 / 5 = $6.60
Answer:
16.-73.5÷3=-24.5 feet per minute
17.(50.25-22.5+50.25-22.5-22.5)÷5=6.6
