Answer:
the city bus would cover 6 miles in 10 minutes.
Step-by-step explanation:
18 miles = 30 minutes
? miles = 10 minutes
cross multiply
? x 30 = 18 x 10 (180)
? = 180/30
? = 6
the city bus would cover 6 miles in 10 minutes.
a cheetah ran 300ft in 2.92 sec what was the average speed in mph
Answer:
70.05 mph
Step-by-step explanation:
A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour
--------------------------------------
(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)
= {300*1*3600 miles)/(2.92*5280*1 hour)
= 91080000 miles/15417.6 hours
= 70.05 mph
Which graph shows the solutions to |x − 2| = 2 ?
Answer:
I think that the answer is B.
Step-by-step explanation:
go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
What is the value of x?
x= 21
x = 28
x= 35
x= 37
A school had 180 boys and 240 girls attending
(a) What is the ratio of boys to girls?
(b) What is the ratio of girls to boys?
(c) What is the ratio of students to boys?
(d) What is the ratio of girls to students?
Answer:
a. ratio is 180:240
B. ratio is 240:180
C. ratio is 420:180
d. ratio is 240:420
Hope this helps!!
where will the hand of a clock stop if it start at 2 and make 1 by 4 of a Revolution clockwise
Answer:
At 5 o'clockStep-by-step explanation:
Staring point = 2 o'clock
The travel is 1/4 of 12 hour full revolution:
1/4*12 = 3 hoursPoint to stop is the start point plus the travel:
2 + 3 = 5refer to the attachment
someone buys a chair in sale for 435.60 dollars. its is a reduction of 12% from the the original price. what is the original price... the amswer is 495 dollars but i need someone to explain it
100%=(435.60÷88)x100
which is 495.
Answer:
Step-by-step explanation:
435,60:12%
p(x) = 4x
i need the linear function, and how to graph it
Step-by-step explanation:
well, that's the graph. I hope it helps.
x can be any number, just substitute the value of x chosen into the linear function and get the corresponding p(x) value
like, say x=2, p(x)=4(2)=8. locate the points (2,8) on the graph paper and mark them. continue to do this for more values of x.
Two numbers are in the ratio 7: 4 . If they differ by 15 ,the numbers are
Lets take 7:4 be 7x and 4x
7x - 4x = 15
3x = 15
x = 5
______________________________
7x = 7 × 5 = 35
4x = 4 × 5 = 20
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?
The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
Cost of e-book = $5 each.
Cost of paperback = $12 each
Number of e-books = x
Number of paperbacks = y
Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
Read related link on:
https://brainly.com/question/25212173
Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5 in y = 4x - 1?
A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…
Answer: y = -3/4x - 15/2
Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b
-9 = -1.5 + x
x = -15/2
What is the product?
(4x) {-3x^8}{-7x^3}
Answer:
[tex]84x^{12}[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex](4x)( - {3x}^{8} )( - {7x}^{3} ) \\ (4 \times - 3 \times - 7)( {x}^{} \times {x}^{8} \times {x}^{3} ) \\ (81)( {x}^{ 1 + 8 + 3} ) \\ 81 {x}^{12} [/tex]
By which rule are these triangles congruent
A. AAS
B. ASA
C. SAS
D. SSS
Answer:
option D
Step-by-step explanation:
this trianle will be congurent by SSS method easily
Answer:
Option D.SSS These triangles congruent with SSS property
Area of sector is to
as arc measure is to 360 degrees.
diameter
circle area
semicircle
circumference of circle
Answer:
circle area
Step-by-step explanation:
A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.
The area of a sector is to the circle area
How to complete the blank?The area of a circle is:
[tex]A = \pi r^2[/tex]
The area of a sector is:
[tex]a = \frac{\theta}{360} * \pi r^2[/tex]
Substitute [tex]A = \pi r^2[/tex] in the above equation
[tex]a = \frac{\theta}{360} * A[/tex]
The above means that the area of a sector is a fraction of the circle area
Hence, the area of a sector is to the circle area
Read more about sector and circle at:
https://brainly.com/question/16736105
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Solve for x.
X +1/2=3/4
O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4
What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = 2
So the value of x is 2
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answer:
41 inches of wire will cost 164 cents.
Step-by-step explanation:
1st Method
Use proportions!
18/ 72 = 41/ c
Cross multiply
18 * c = 72 * 41
18c = 2952 divide both sides by 18
c = 164
2nd Method.
Find the rate of the costs. r = rate
18*r = 72
r = 4 cents/inch
Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!
41 inch * r (cents/inch) inches cancels out.
41 * 4 = 164
164 cents
how many millimeters (mm) are found in each centimeter (cm) on a ruler?
1000 millimeters are found in centimeters
what is 20/25 as a percent
Answer:
80%
Step-by-step explanation:
Erica cut 2/3 yard ribbon into pieces that are 1/6 yard long how many pieces of ribbon did she cut
Answer:
4 pieces
Step-by-step explanation:
To perform the calculation, it's easier for both values to have the same denominator.
2/3 yards is the same as 4/6 yards.
Now we have two values with the same denominator: 4/6 and 1/6.
(4/6) / (1/6) = 4.
A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
a.show that it’s height h cm is given by h =300- pi r /pi r
Answer:
Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π[tex]r^{2}[/tex] )/πr to be the equation for height.
Step-by-step explanation:
The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π[tex]r^{2}[/tex], for a total of 2π[tex]r^{2}[/tex]. The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.
The total surace area of a closed cylinder is therefore 2π[tex]r^{2}[/tex] + 2πrh.
2π[tex]r^{2}[/tex] + 2πrh = 600
π[tex]r^{2}[/tex] + πrh = 300
πrh = 300 - π[tex]r^{2}[/tex]
h = (300 - π[tex]r^{2}[/tex] )/πr
During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.
1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.
2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.
3.Approximately how long before the puck will hit the ice?
4.For what values of time is the height invalid?
Answer:
put it in desmos and turn it into table
In a regular deck of cards, there are 52 total cards, 26 red, 26 black, and 13 of each of the four suits (hearts, clubs, spades, and diamonds). What is the probability, if you draw a card randomly, that the card will be a heart?
Answer:
13/52 (25%)
Step-by-step explanation:
There are 13 hearts in the deck, and 52 cards in the deck. This means that the probability is 13/52.
if maria earned $60 in interest over a 4 year period at a 4% simple annual interest how much did she originally deposit in savings
formula for interest=principle×rate×time/100
60=x×4×4/100
60=16x/100
16x=6000
x=375
Answer:
C. $375
Step-by-step explanation:
If 2 coins can be exchanged for 3.3782 dubloons, how many dubloons can be obtained for 9 coins?
(Round to the nearest hundredth)
Answer:
5.33
Hope this helps
Can someone help me?
Answer:
I'm not sure from my answer but I'm going to try
A = { a^2 - 4 = 0 }
A = { a^2 = 0+ 4 }
A = { a^2 = 4}
Take root of both sides
A = {a = 2}
A = {2}
B = { -2, -1, 0, 1, 2}
C = { 1, 2, 3, 4, 5, 6,7}
i) A\B
= {2} \ {-2,-1,0,1,2}
= ⌀ ( "null set" )
ii) (A\B) \C
= ( {2} \ {-2,-1,0,1,2} ) \ C
= ⌀ \ C
= ⌀ \ { 1, 2, 3, 4, 5, 6,7}
= ⌀ ( "null set" )
iii) (A ∪ B) \ C
= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C
= { -2, -1, 0, 1, 2} \C
= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}
= { -2, -1, 0 }
iv) ( A\B) ∩ ( A\C)
= ( { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )
= ⌀ ∩ ⌀
= ⌀
v) ( A ∩ B ) \ C
= ( { 2 } ∩ { -2, -1, 0, 1, 2 } ) \ C
= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }
= ⌀ "null set"
helpppppppppppppppppppppppppppppppppppppppp
Answer:
12/12=1
2.5/2.5=1
5/_=1
mysterty number is 5
5.5./_=1
mystery number is 5
Step-by-step explanation:
P=[−3610−4] , Q=[−2571] , R=[4−20813]
Given the three matrices above, evaluate P+Q.
P+Q=[acbd]. Find the values of a, b, c, and d.
Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]
The values of a, b, c and d is determined by the addition of matrices P and Q, that is:
[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
We have that the matrices are:
[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]
[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]
Then:
[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]
Finally:
[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
Thus, the values are:
[tex]a = -5, b = 8, c = 11, d = -3[/tex]
A similar problem is given at https://brainly.com/question/24810141
precalculus question please help
Answer:
It is the 1st one x=6, y=2
Step-by-step explanation:
you find this out by comparing the degrees in the numerator and the denominator. Have a nice day!!!
Matt está jugando en un juego gana 7 puntos pierde 10 puntos luego vuelve a ganar 2 puntos y luego pierde 8 puntos Cuál es su puntuación final ?
Answer:
La respuesta es 3.
Step-by-step explanation: así que básicamente sus puntos finales son 3.