Step-by-step explanation:
(a) We need to express 4116 as the product of its prime factors.
Prime factors of 4116 = 2 x 2 x 3 x 7 x 7 x 7
or
= 2² x 3¹ x 7³
(b) HCF of 4116 and 2 ×3⁴× 7² × 11.
4116 = 2² x 3¹ x 7³
2 ×3⁴× 7² × 11
Factors of 4116 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
Factors of 2 ×3⁴× 7² × 11 = 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 49, 54, 63, 66, 77, 81, 98, 99, 126, 147, 154, 162, 189, 198, 231, 294, 297, 378, 441, 462, 539, 567, 594, 693, 882, 891, 1078, 1134, 1323, 1386, 1617, 1782, 2079, 2646, 3234, 3969, 4158, 4851, 6237, 7938, 9702, 12474, 14553, 29106, 43659, 87318
HCF = 294
LCM of 4116 and 2 ×3⁴× 7² × 11 = 1,222,452
Hence, this is the required solution.
Help show work
A 85.7%
B 21.1%
C64.6%
D 35.4%
Answer:
C
Step-by-step explanation:
A 9 foot tall tree casts a 5 foot shadow . At the same time a house casts a 28 foot shadow. How tall is the house?
Answer:
33
Step-by-step explanation:
it is 33 if you get it wrong than dab
Find the value of if the perimeter of the rectangle is 30inches. The length is 2x + 3and the width is x
Answer:
The perimeter of a rectangle is 30 meters. The length of the rectangles is 3 meters more than twice the width. Find the dimensions of the rectangle.
Step-by-step explanation:
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
Defining the variables, let
Width = x
Length = 2x+3 (3 more than twice the width)
Plugging everything into the equation
30= 2(x) + 2(2x+3) using the distributive property,
30=2x+4x+6 combining like terms
30=6x+6 subtracting 6 from both sides,
24=6x divide both sides by 6
4=x This means that the width is 4 m
To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for
L=2(4)+3
L=8+3 = 11 m
So the dimensions of the rectangle are width is 4 m and length is 11 m
Use the information in the diagram to determine the height of the tree
7. MGSE7.6.1: Two stage floors are in the shape of isosceles trapezoids. The small stage floor
in the drama room is geometrically similar to the large stage floor in the auditorium, as shown
below.
81
24 ft.
12
xit
Part A: Determine the scale factor.
Part B: Solve for the unknown variable of the larger floor.
Answer:
show stage and back stage
Step-by-step explanation:
The scale factor is 3 and the value of the unknown variable of the larger floor is 36 ft and this can be determined by using the given data.
Given :
Two-stage floors are in the shape of isosceles trapezoids. The small stage floor in the drama room is geometrically similar to the large stage floor in the auditorium.a) Let the scale factor be 'y'. So, the value of 'y' can be calculated as:
[tex]\begin{aligned}\\24 &= y \times 8\\y &= 3\\\end{aligned}[/tex]
So, the scale factor is 3.
b) The value of the unknown variable of the larger floor is calculated as:
[tex]\begin{aligned} \\12\times y &= x\\12\times 3& = x\\x&= 36\\\end{aligned}[/tex]
So, the value of the unknown variable of the larger floor is 36 ft.
For more information, refer to the link given below:
https://brainly.com/question/8765466
there are 3 yellow marbles and 4 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble?
You have a bag that contains 6 red marbles and 3 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of the events.
Answer:
12/27
Step-by-step explanation:
You have a bag that contains 6 red marbles and 3 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of the events.
Let the total number of marbles = 6 red marble + 3 blue marbles = 9 marbles
You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of the events.
Assume all you picked is red( without replacement)
= 6/9 × 5/9
= 30/81
= 10/27
Assume all you picked is blue( without replacement)
= 3/9 × 2/9
= 6/81
= 2/27
The probability of the events is calculated as:
All red or All blue
= 10/27 + 2/27
= 12/27
Why do we need to rewrite subtraction as addition when we are doing algebra
Answer:
It is important to learn how to recognize situations and represent them symbolically on counting whole numbers
Evaluate: 2/3 x 1
*Write your answer in fraction form.*
Answer:
its just 2/3 lol
Step-by-step explanation:
2/3 x 1 is 2/3
The volume of this rectangular prism is 59.52 cubic feet. What is the value of p?
4.8 ft
3.1 ft
р
= how many feet?
Answer: 4ft
Step-by-step explanation:
angulo suplementario de 22° 39´ 44’’
Answer:
75
Step-by-step explanation:
22+39+44-180=75°
supplementary addsup to 180
Over a three-week period, Abram spent 15
hours practicing the piano. If he keeps the
same schedule, how many hours will he spend
practicing in the next 4 weeks?
Answer:
20 hours
Step-by-step explanation:
First off, if we divide the number of hours he has played by the number of weeks 15/3 =
It would be an average of 5 hours per week
Therefore, in the next 4 weeks we would practice for 20 more hours.
i hope this helps you<33
have a nice day or night
If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?
Answer:
1 1/2 miles (one and a half miles)
Step-by-step explanation:
Need help please get done fast.
Answer:
47
Step-by-step explanation:
the sum of all the interior angles in a triangle is 180.
25+108=133
180-133=47
yokoreceived a 70 gift card for a coffee store. She used it in buying some coffee that cost 8.04 per pound. After buying the coffee, she had 45.88 left on her card. How many pounds of coffee did she buy?
Answer:
Since she started with $80 and ended with with $35,24, we can find the total amount she spent by subtracting these amounts:
$80 - $35.24 = $44.76
This means that she spent $44.76 on coffee. If each pound cost $7.46, we can divide $44.76 by $7.46 to see how many pounds she bought (ignoring tax):
44.76 / 7.46 = 6 pounds of coffee purchased
I hope it help you
Follow me please
Mark brainliest
i need help with this lol
Answer:
32 i think
Step-by-step explanation:
A camp counselor needs 12 bags of candy that each weigh 1 1/2 pounds. How many ounces of candy does the camp counselor need?
Answer: 18oz
Step-by-step explanation:
A car travels 300 km in 6 hours. What is the average speed of the car in
(km/hr)?
Given
Work:
Formula
Answer
Answer:
given: 300km in 6 hours
formula: a÷b=x
work: 300÷6=x
50= x
answer: the avrage
speed of the car is 50km an hour
Step-by-step explanation:
I need help with this
h+107=61
Answer:
-46
Step-by-step explanation:
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,200. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 820 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last. How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99% of the time
Answer:
14110
Step-by-step explanation:
Let x = number of pages ;
μ = 12200 ; σ = 820
Zscore = (x - μ) / s
Zscore = (x - 12200) / 820
Zcritical at 99% confidence, for a 1 - tail test is 2.33
Hence, Z at 99% = 2.33
Put Zscore = 2.33
Zscore = (x - 12200) / 820
2.33 = (x - 12200) / 820
2.33 * 820 = x - 12200
1910.6 = x - 12200
1910.6 + 12200 = x
x = 14110.6
x = 14111
The number of pages the manufacturer should advertise is 14,110
helloooo I need this simplified, also please show work cause id.k how to do this :)
[tex]\frac{7\sqrt{10x} }{\sqrt{6} }[/tex]
Answer:7√(10x)×√6/(√6×√6)=7/6×√60x
Step-by-step explanation:
Translate the sentence into an equation.
Seven times the sum of a number and 5 equals 2.
Answer: 7(x + 5) = 2
Step-by-step explanation:
Use the variable x to represent the number
7(x +5) = 2
Answer:
7(x+5)=2 x= -33/7
Step-by-step explanation:
What is 1 1/6 + 2 3/8 equal to?
Answer: 3 13/24
Step-by-step explanation:
First off we have an issue with the problem due to denominators not being the same
So we need to find a common denominator
The common denominator would be 24 for 6 and 8
Then we must multiply the numerator 1 by 4 and the numerator 3 by 3
Our new problem would look like
1 4/24 + 2 9/24
Now we add it all up
3 13/24
777,498,619,379,895,1,256,1052 a. What is the mediam of the first half of data?(first quatile. b. What's the mediam of second half of the data?(third quartile) c. What is the interquartile range ?
Answer:
[tex]Q_1 = 498[/tex]
[tex]Q_3 =1052[/tex]
Step-by-step explanation:
Given
[tex]Data: 777,\ 498,\ 619,\ 379,\ 895,\ 1,256,\ 1052[/tex]
[tex]n = 7[/tex]
First, the data has to be arranged:
[tex]Data: 379,\ 498,\ 619,\ 777,\ 895,\ 1052,\ 1256[/tex]
Solving (a): Lower Quartile
This is calculated as:
[tex]Q_1 =\frac{1}{4} * (N + 1)th[/tex]
[tex]Q_1 =\frac{1}{4} * (7 + 1)th[/tex]
[tex]Q_1 =\frac{1}{4} * 8th[/tex]
[tex]Q_1 = 2nd[/tex]
The 2nd data is 498
Hence:
[tex]Q_1 = 498[/tex]
Solving (b): Third Quartile
This is calculated as:
[tex]Q_3 =\frac{3}{4} * (N + 1)th[/tex]
[tex]Q_3 =\frac{3}{4} * (7 + 1)th[/tex]
[tex]Q_3 =\frac{3}{4} * (8)th[/tex]
[tex]Q_3 =6th[/tex]
The 6th data is 1052
Hence:
[tex]Q_3 =1052[/tex]
Solving (c): Interquartile Range
This is calculated as:
[tex]IR = Q_3 - Q_1[/tex]
[tex]IR = 1052- 498[/tex]
[tex]IR = 554[/tex]
Please answer!!!!!!!
Answer:
7.2 inches
Step-by-step explanation:
First, we find the length of the legs, which are the sides that are parallel to the x- and y-axis.
The leg parallel to the x-axis is 6 inches long.
The leg parallel to the y-axis is 4 inches long.
After finding the length of both legs, we can use the Pythagorean Theorem to find the length of the hypotenuse: a² + b² = c²
a and b being the legs, and c being the hypotenuse
6² + 4² = c²
36 + 16 = c²
52 = c²
√52 = c
c ≈ 7.2 inches
Use the image to answer the question.
Which important result of the Columbian Exchange does this image illustrate?
A: It includes European-style handbags that Native Americans began to use.
B: It displays a small Native American family similar to the size of European families at the time.
C: It shows how Native Americas adapted to a nomadic lifestyle.
D: It depicts Spanish horses adapted for use by Native Americans.
PLEASEEEE HURRY !!!!!!!!!!!!!!!!!!!
Answer:
i do not know what the image loos like but it should be D
Step-by-step explanation:
It depicts Spanish horses adapted for use by Native Americans.
Pasha works as a food scientist. He designed a recipe for crackers that are 65% wheat flour by weight. He made a test batch of the crackers from total pounds of ingredients. What weight of wheat flour did Pasha use in the test batch?
Answer:
13/16
Step-by-step explanation:
Here is the complete question
Pasha works as a food scientist. He designed a recipe for crackers that are 65% wheat flour by weight. He made a test batch of the crackers from 1 1/4 total pounds of ingredients. What weight of wheat flour did Pasha use in the test batch?
Weight of wheat flour = percentage of wheat in the recipe x total pounds of ingredients
the first step is to convert 65% to a fraction. To do this, express 65 as a fraction of 100 and express the fraction in its lowest term
[tex]\frac{65}{100}[/tex]
Dividing the numerator and denominator by 5 gives
[tex]\frac{13}{20}[/tex]
Now multiply 13/20 by 5/4
[tex]\frac{13}{20}[/tex] ×[tex]\frac{5}{4}[/tex] = [tex]\frac{13}{16}[/tex]
Hi could you please help me with this and explain how you got it?
Answer:
In decimal form, it would be 1.75 minus 1.5
Step-by-step explanation:
The answer would be 0.25
A set of stairs is being built as shown.
3 triangles form stairs. Each triangle has a side length of 11 inches and a hypotenuse of 13 inches.
The length of each stair is 11 inches. What is the rise, r, for each stair? Round to the nearest inch.
2 inches
7 inches
17 inches
24 inches
Answer:
the answer is C) 7 inches
Step-by-step explanation:
trust me gurlyyyy
Answer:
7
Step-by-step explanation:
someone help me please
Answer:
15/32
10/9 = 1 1/9
26/15 = 1 11/15
Step-by-step explanation:
3/8 / 4/5 = 3/8 * 5/4 = 15/32
8/9 / 4/5 = 8/9 * 5/4 = 40/36 = 10/9 = 1 1/9
2 3/5 / 1 1/2 = 13/5 / 3/2 = 13/5 * 2/3 = 26/15 = 1 11/15