Answer:
When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
11.You are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and
42 apples. You want identical groups of items in each basket with no items left
over. What is the greatest number of picnic baskets you can fill?
Answer:
6
Step-by-step explanation:
divisible by 6, so 3, 4 and 7
The greatest number of baskets will be 6.
What is the greatest common factor?The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF.
The greatest common factor is the largest positive number which can be divided into given numbers evenly.
Given that you are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and 42 apples.
The greatest common factor between the numbers 42, 18, and 24 will be 6.
42 / 6 = 7
18 / 6 = 3
24 / 6 = 4
Therefore, the greatest number of baskets will be 6.
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PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. SAS
B. AAS
C. SSS
D. ASA
E. None of these
Priya, and Jibran take 1 hour and 10 minutes working together to deliver all newspapers on their route. Priya, when working alone, can finish the delivery route 5 minutes faster than Jibran. How many minutes does it take each person to complete the route if they worked alone
Answer:
Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.
Step-by-step explanation:
We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:
[tex] P + J = 60min + 10min = 70 min [/tex] (1)
Also, Priya can finish the delivery 5 minutes faster than Jibran:
[tex] P = J - 5 [/tex] (2)
By entering equation (2) into (1) we have:
[tex] (J - 5) + J = 70 min [/tex]
[tex] 2J = 75 min [/tex]
[tex] J = 37.5 min = 37 min + 30 s [/tex]
Hence, Jibran takes 37 minutes and 30 seconds to complete the route.
Now, by entering J into equation (2):
[tex] P = 37 min + 30 s - 5 min = 32 min + 30s [/tex]
Therefore, Priya takes 32 minutes and 30 seconds to complete the route.
I hope it helps you!
Answer:
Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.
Step-by-step explanation:
The average distance from Pluto to the Sun is about 6×109 kilometers. The average distance from Mars to the Sun is about 2×108 kilometers. The average distance from Pluto to the Sun is about how many times greater than the average distance from Mars to the Sun?
Answer:
The average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.
Step-by-step explanation:
We have:
- Distance from Pluto to the Sun ([tex]d_{PS}[/tex]) = 6x10⁹ km
- Distance from Mars to the Sun ([tex]d_{MS}[/tex]) = 2x10⁸ km
Now, we can find how many times greater is [tex]d_{PS}[/tex] than [tex]d_{MS}[/tex] as follows:
[tex] \frac{d_{PS}}{d_{MS}} = \frac{6 \cdot 10^{9} km}{2 \cdot 10^{8} km} = 30 [/tex]
Therefore, the average distance from Pluto to the Sun is 30 times greater than the average distance from Mars to the Sun.
I hope it helps you!
HELP ME PLZZ I CANT FAIL THIS, SO PLZZ HELP ME !!!
Answer:
C i think
Step-by-step explanation:
You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say
1/9 of 54 bottles of water = ? bottles
Answer:
6
Step-by-step explanation:
If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.
6
Step-by-step explanation:
First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6
Joelle works as a car salesperson. Her monthly pay is calculated with the equation y=500x+1000, where x represents the number of cars sold and y represents her pay in dollars.
What is the meaning of the y-intercept of the equation
Answer:
The y-intercept is what she gets paid even with no cars sold. Its the minimum she can get paid. Regardless of how many cars she sells, her base pay is $1000.
Step-by-step explanation:
Hope this helped!
The y-intercept of the equation is 1,000 which represents the pay in dollars.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of 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.
The equation is given below.
y = 500x + 1,000
The y-intercept of the equation is 1,000 which represents the pay in dollars.
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Determine whether 3x - xy + 7 = 0 is a linear equation. If it is, write the equation in standard form.
O A linear y = -3x - 7
OB. linear y=-3x + 7
OC linear 3x - xy = -7
OD not linear
Answer:
C
Step-by-step explanation:
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
Explain why -7 has a greater absolute value than the absolute value of 6.
Answer:
abosute value is the bigger number regardless of positives and negitives.
Step-by-step explanation:
Answer:
The absolute value of a number means the distance from 0. -7 is further from 0 than 6, therefore, it has a greater absolute value. Keep in mind, absolute value makes all numbers positive.
The tables of ordered pairs represent points on the graphs of Equation 1 and Equation 2. Which system of equations is represented
by these two tables?
A)
4x + y = 24
2x + 2y = 4
B)
x + 4y = -24
x-y--4
C)
x - 4y= 24
x+y=4
D)
4x - y = 24
2x - 2y - 4
Answer:
Step-by-step explanation c
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
8(4+4) =7 38+38
=86
Match the equation on the left with its solution(s) on the right.
Identify the range of the function shown in the graph.
Answer: [tex]-1 \le y \le 1[/tex]
The range is the set of all possible y outputs of a function. The graph shows the smallest possible y value is y = -1, while the largest is y = 1. The value of y can be anything in between.
If you need the range in interval notation, then you would write [-1, 1]. The square brackets indicate we include each endpoint.
Note: This is likely the graph of y = sin(x)
What is the solution set to 6x – 12 > 30?
Answer:
Inequality Form:
x > 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x can be anything bigger then 7 to make this true.
6
(-9)
(-9)
What is the answer?
Answer:486
Step-by-step explanation: you just multiply
Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40meters and Diego ran 55 meters.
How far did each person move in 1 second?
Answer: 2
Step-by-step explanation:
A car travels about 74 feet in one second. At this speed, about how many feet will the car travel in 6 seconds?
444 ft traveled in 6 seconds.
If the car travels 74 ft in 1 second, all you have to do is multiply 74 by 6 to find the answer, which is 444 ft.
what negative angle is equivalent to a 75 angle
Answer: it’s actually -285
Step-by-step explanation: took test
The negative angle equivalent to a 75 angle is -285 angle.
We are given a 75 angle and we need to find a negative angle that is equivalent to the 75 angle.
What is a negative angle?A negative angle is defined as an angle generated in a clockwise direction from its given base.
We have a 75 angle which is in an anti-clockwise direction from the base AB as shown in the figure.
Now we will draw an angle in a clockwise direction from the base AB such that the angle reaches angle 75 which means it is equivalent to angle 75
We have,
Adding the angle from base AB till angle 75.
90° + 90° + 90° + 15° = 285°
Since the angle is measured in a clockwise direction we have,
285° = - 285°
The negative angle equivalent to a 75 angle is -285 angle.
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What do you think makes a rule a function? In math terms.
Answer:
A function is a rule that assigns exactly one output to each possible input. This table does not represent a function.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A function is a rule that assigns EXACTLY ONE output to each possible input. This table DOES NOT represent a function.
What does that equal??
Answer:
I beileve its 1 and 7/15
Step-by-step explanation:
It was for a test and I beileve I got a 100
Answer:
1 whole, 7/15
Step-by-step explanation:
Step 1_ (23×55)+(45×33)=?
Step 2_ 1015+1215=?
Step 3_ 10+1215=2215
Step 4_ 2215
Step 5_ 22÷15
Step 6_ 2215=1715
Step 7_ 23+45=1715
BTW THE NUMBERS ARE FRACTIONS NOT WHOLE NUMBERS
HOPE THIS HELPS!!
i have 50 plus 15 or 13 followers on Tikok how much followers do i have :)
Answer:
65?
Step-by-step explanation:
a cubic block of ice has a volume of 1,331 inches how tall is the block
Answer:
The answer is 11. 11^3 is 1,331.
Step-by-step explanation:
NP
do you guys know this by any chance
Answer:
ME
Step-by-step explanation:
if it is a negative exponent, you have to change it
8^5times 8^9 I think
Answer:
I don't but i can see if my shadow clones do! MULTI SHADOW CLONE JUTSU!!!!
Step-by-step explanation:
They don't...
Look at pic!!!!hdhsyahvw
An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
Answer:
The slope is 29 mm.
Step-by-step explanation:
What we know:
The radius of this cone is 20 mm, and the height is 21mm
s = √r^2 + h^2
s = √20^2 + 21^2
s = √400 + 441
s = √841
s = 29 mm
The slant height of the cone is required,
The ant would have to crawl [tex]29\ \text{mm}[/tex]
Volume of coneV = Volume of cone = [tex]8792\ \text{mm}^3[/tex]
r = Radius of cone = 20 mm
h = Height
s = Slant height.
Volume of a cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]
From Pythagoras theorem we have
[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]
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A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.
a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.
9514 1404 393
Answer:
A(x) = -2/5x^2 +200x
Step-by-step explanation:
There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...
5y +2x = 1000
Then the value of y is ...
y = (1000 -2x)/5
The area is the product of x and y:
A(x) = xy
A(x) = x(1000 -2x)/5
A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area
In standard form, the equation is ...
A(x) = -2/5x^2 +200x
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Write an expression that correctly applies the the distributive property to show two equivalent expressions for the number of bags of soil he bought. (hint: Find GCF to help apply distributive property)
Answer:
[tex] 49 + 28 = 7(7 + 4) [/tex]
Step-by-step explanation:
Number of bags bought in one week = 49 bags
Number of bags bought the next week = 28 bags
Number of bags bought is [tex] 49 + 28 [/tex]
To express this using the distributive property, look for the greatest common factor of 49 and 28. Factor it out to get an expression.
Thus:
The factor 7 can go into 49 and 28. Factor out 7.
Therefore, we would have:
[tex] 49 + 28 = 7(7 + 4) [/tex]
You want to paint your basement bright orange for your birthday party. The orange paint shade you like uses 3 parts red and 5 parts yellow. How many cups of red would you
need if you want 1 gallon of paint? (There are 2 cups in 1 pint, 2 pints in 1 quart, and 4 quarts in 1 gallon.)
Answer:
Step-by-step explanation:
6 cups red
Answer:
Step-by-step explanation:
6 cups red
Put these numbers in order from least to greatest
4.9 4.5 314