3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second
What is the smallest integer $k>2000$ such that both $\dfrac{17k}{66}$ and $\dfrac{13k}{105}$ are terminating decimals?.
The smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals is 2079.
GivenK is greater than 2000.
[tex]k> 2000\\[/tex].
Given fractions are
[tex]\dfrac{17k}{66} \ and \ \dfrac{13k}{105}[/tex].
How to find the smallest integer greater than 2000 for the fractions to be terminating decimals?In order for the decimal equivalents to be terminating, the only factors that can remain in the denominators are 2 and 5.
Here, the given denominators are 66 and 105 respectively.
Now factors of 66 will be 2,3,11.
And the factors of 105 will be 3,5,7.
So, the value of k must be multiples of 3, 7, and 11. The LCM of these numbers will be,
[tex]3\times 7\times 11=231[/tex]
Now the value of K must be greater than 2000, so the multiple of 231 which is greater than 2000 is its [tex]9^{th}[/tex] multiple,
[tex]231\times9=2079[/tex]
Hence 2079 is the smallest integer greater than 2000 for both the fractions [tex]\frac{17k}{66} \ and \ \frac{13k}{105}[/tex] to be terminating decimals.
For more details on terminating decimals follow the link:
https://brainly.com/question/5286788
B. {(15,0),(15,-2)}
Function?
Domain:
Range
Answers:
Function? No, it's not a functionDomain: {15}Range: {0, -2}===============================================
Explanation:
The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.
The range is {0,-2} to indicate the y coordinates of the two points.
We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.
someone please help i do not understand i will give you brainlyest
Answer:you can compare 108 to the other sides :)
Step-by-step explanation:
Pleasee helpp
Write at least 4 key features of the graph shown below.
Answer:
There are a few key features of a graph; though I'm not exactly sure which ones are the '4 key features'
Step-by-step explanation:
There are a few key features of a graph.
- (x and y) intercepts
- Domain
- Range
- Increasing/Decreasing
- Vertex
-Max/min
- is the graph a function?
I'm not exactly sure what the 4 main key features of a graph is; since there are many features of a graph.
But I'm guessing its the
-x and y intercept
-Max/min
-Domain
-Range
The x intercept is (-15,0)
y intercept is (0,-5)
I was never properly taught how to find the domain and range of a graph, and I can't really find much about the domain and range of graphs that have no clear end to either side (continuous line) so I'm sorry, I can't really help you on that.
Answer:
Linear graph
Slope is 1/3
The y intercept is -5
The x intercept is -15
Step-by-step explanation:
The graph is a straight line graph
Slope = ∆y/∆x
= (-5 - 0)/-15-0
= -5/-15
= 1/3
Y-intercept is the value on the y-axis when x is 0
X-intercept is the value on the x-axis when y is 0
How is 6% expressed as a fraction in lowest terms
WILL MARK BRAINLIST
What is the solution to this system of equations?
(I suggest using the elimination method by multiplying the first equation by 3.)
2x + y = 20
6x - 5y = -4
Points earned for putting your solution as an ordered pair. If work is shown, partial credit can be earned.
[tex]2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}[/tex]
Answer:
(x,y) = (6, 8); please give Brainliest if this helped you
Step-by-step explanation:
Emma is making a recipe that needs 2 1/2 cups of sugar. Each
scoop contains 1/4 cup of sugar. How many scoops of sugar
does she need to add for the entire recipe?
The given partial fraction divided by the fraction of sugar in a scoop is
equal to multiplying the partial fraction by the reciprocal of the fraction.
The number of scoops of sugar needed is 10 scoops.Reasons:
The amount of sugar the recipe Emma is making needs = 2 1/2 cups
Amount of sugar in each scoop of sugar = 1/4 cups
Required:
The amount of scoops Emma needs to add for the entire recipe
Solution:
The amount of sugar needed = 2 1/2 cups
Amount of sugar per scoop = 1/4 cups/scoop
Therefore;
[tex]\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}[/tex]Which gives;
[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}[/tex][tex]\displaystyle 2 \frac{1}{2} = \frac{5}{2}[/tex]
[tex]\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10[/tex]
Therefore;
[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops[/tex]
The number of scoops she needs for the entire recipe is 10 scoops
Learn more about division by fractions here:
https://brainly.com/question/20591763
The function f is defined below.
f(x)=−2x−3
Find f(1).
Answer:
[tex]f(1)=-5[/tex]
Step-by-step explanation:
[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]
f(1) means to substitute x with 1 or that x=1. So since x=1 you will substitute it in where x is and then solve like a regular equation which will give you -5.
Some please help me I’ll give you brainlist answer
Answer:
Step-by-step explanation:
The area of the square is 3 units by 3 units. because the area of a square is side length squared.
side length = 3
side length^2 = 3 * 3 = 9
The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.
Answer:
The area of the square is 9 aka [tex]3^{2}[/tex]
You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9
It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.
A turtle swims 15 kilometers in 9 hours. How far does the turtle swim in 24 hours?
Answer:
about 40 kilometers
Step-by-step explanation:
Can someone please help me with this one this is confusing to me :’) tysm!
Answer: 125 centimeters
1,250 millimeters
Step-by-step explanation:
'centi' means hundred. 100 centimeters go into a meter.
'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their present age-
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
What is the perimeter of the inside of the track?
Answer:
Well add up the sides you can make the curving part into a full circle and calculate for the circumference.
So if the half of the circle straight part is 62 you times it by π. But π (pi) can be a fraction and a decimal: 22/7 or 3.14 although (pi) is 3.14 that is because after .14 there is ton of number so it constantly continues.
Method:
C = 2πr
or
C = πr
I hope this gives you a hint.
Answer:
394.68 m
Step-by-step explanation:
The 2 ends are half circles, so together they make a circle.
The diameter is 62 m, so the circumference is pi x diameter, or 3.14 x 62 = 194.68.
The top and bottom parts of the track are each 100 m, so add 2 of them = 200 m.
Add all 3 parts 194.68 + 200 = 394.68 m.
What do you know to be true about the values of p and q?
09
AM
60°
50°
30°
80°
Answer:
p=q
Step-by-step explanation:
all angles together is 180. p=70 degrees and q = 70 degrees
^PLZ HELP, I NEED IT BY TODAY!!! (PART B and PART C only) PLZ THANKS
Part B (Taxi):
12 miles = 0.5 miles + (115×0.1) miles
Rate: $2.40 + (115×0.20)
= $25.40
Total cost (with tip): $25.40 + $2
= $27.40
20 miles = 0.5 miles + (195×0.1) miles
Rate: $2.40 + (195×0.20)
= $41.40
Total cost (with tip): $41.40 + $2
= $43.40
50 miles = 0.5 miles + (495×0.1) miles
Rate: $2.40 + (495×0.20)
= $101.40
Total cost (with tip): $101.40 + $2
= $103.40
Part B (Uber):
12 miles (rate) = $1 + ($1.05×12)
= $13.60
Total cost (with tip): $13.60 + $2
= $15.60
20 miles (rate) = $1 + ($1.05×20)
= $22
Total cost (with tip): $22 + $2
= $24
50 miles (rate) = $1 + ($1.05×50)
= $53.50
Total cost (with tip): $53.50 + $2
= $55.50
Part C
Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.
Tyler's brother Works
Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour.
After the raise, how much will Tyler's brother make per hour?
Answer: $12.60 per hour
Step-by-step explanation:
5% of 12 is 0.60
12 + 0.60 = 12.60
Hope you have a great day
Answer:
$12.60 per hour
Step-by-step explanation:
5% of 12 is 0.60
and 12 + 0.60 = 12.60
Hope it makes sense
Select the correct answer.
If a = 0.3 and b =0.5, what is the value of a+b?
A.8/10
B.8/9
C.80/99
D.88/100
Answer:
B
Step-by-step explanation:
Solve.
(-2/3)(-1/4)
A. -2/7
B. -2/12
C. 2/12
D. 2/7
Answer:
C. 2/12
Step-by-step explanation:
multiplication and when two negatives are multiplied together they always equal a positive i hope this helps have a great day :)
You guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer: Situation:
Step-by-step explanation:
You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!
:)
Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen’s mother want one adult for every 25 of her friends. The cost of food is $20 for every four of her friends, and the adults eat for free. If a total of 116 people (including Karen and her mother) go to the party, how many are adults and how many are Karen’s friends? How much will the food cost?
The party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.
Since Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen's mother want one adult for every 25 of her friends, and the cost of food is $ 20 for every four of her friends, and the adults eat for free, if a total of 116 people (including Karen and her mother) go to the party, to determine how many are adults and how many are Karen's friends and how much will the food cost, the following calculations must be performed:
26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 26 (25 friends and one adult) + 12 (10 friends + Karen and her mother) = 116 = 5 adults + 111 friends and Karen 111/4 x 20 = X 555 = X
Therefore, the party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.
Learn more about maths in https://brainly.com/question/25865591
Gabrielle's age is three times Mikhail's age. The sum of their ages is 20 . What is Mikhail's age?
Answer:
I think Mikhail's age is 5
The question say Gabrielle's age is 3 times his
so 5 × 3 = 15
15 + 5 = 20
if i have decent grades, but miss a lot of school
will they fail me???
A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80
when rounded to the nearest ten. Determine the integer side length.
If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.
Step-by-step explanation:
A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.
[tex]n + n + n + n + n + n + n + n + n = 80[/tex]
or
[tex]9n = 80[/tex]
Solve for n
[tex]n = \frac{80}{9} [/tex]
This rounded would make our interger side, 9
Can someone help me please
Answer:
the equation is linear, the equation is y=9.8x
Step-by-step explanation:
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 and 4 m 2 2 m.
Answer:
Step-by-step explanation:
The expressions that are equivalent when m = 1 and m = 4 is;
Option B: 3m + 4 and m + 4 + 2m
We are given m = 1 and m =4;
A) 5m - 3 and 2m + 5 + m
B) 3m + 4 and m + 4 + 2m
C) 2m + 7 and 3m - 3 + m
D) 5m + 3 and 4m + 2 + 2m
For option B; 3m + 4 and m + 4 + 2m
Let's put m = 1
3(1) + 4 = 7
Also, 1 + 4 + 2(1) = 7
Similarly, let us put 4 for m to get;
3(4) + 4 = 16
Also, 4 + 4 + 2(4) = 16
In both cases, the expressions are equivalent and as such option B is the right one.
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. Macy's mom gives her $100 for her birthday. She buys shirts that're $15 each and pairs of pants that're $25 each. Which expression can be used to calculate how much money she has left? (Use s for shirts and p for pants.) *
Answer:
100-(15s+25p)
Step-by-step explanation:
Solve the system of equations by graphing.
y = 3x - 2
x + y = 6
PLEASE HELPPP!!
Find the value of X.
Investors buy a studio apartment for $180,000. Of this amount, they have a down payment of $18,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $9,000 down payment be? Their down payment is enter your response here% of the purchase price. (Type a whole number.) A $9,000 down payment would be enter your response here% of the purchase price. (Type a whole number.)
Answer:
$180,000 is 10% $9,000 is 5%
Step-by-step explanation:
To solve for this, you would set up a ratio and cross-multiply.
$18,000/$180,000 = x%/100%
(18,000)(100) = 180,000x
1,800,000 = 180,000x
10 = x
9,000/180,000 = x/100
900,000 = 180,000x
5 = x
OR
$18,000 ÷ 2 = $9,000
10% ÷ 2 = 5%