7. Phozia has three pieces of rope with lengths of 160 cm, 192 cm and
240 cm respectively. She wishes to cut all three pieces of rope into
shorter pieces of equal length so that there is no left over rope.
(a) What is the largest possible length of each of the shorter pieces of
rope?
(b) How many shorter pieces of rope can she get altogether?
Answer:
a) 16 cm, b) 37 pieces
Step-by-step explanation:
Part a
Finding the largest divisor of 160, 192 and 240
160 divisors: 1, 2, 4, 5, 8, 10, 16, 32, 40, 80 and 160.
// You can alternatively find them by factor pairs, which are (1, 160), (2, 80), (4, 40), (5, 32), (8, 20) & (10, 16). This way is much more faster. Also, you can simply search them in metanumbers.com
192 divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96 and 192
240 divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240
The largest divider that they all have in common is 16.
So 16 cm is the largest possible length of each of the shorter pieces of
rope
Part b
Now we have to count how many 16 cm pieces of rope can we get from the large rope pieces, which lengths are 160 cm, 192 cm and 240 cm
160/16 + 192/16 + 240/16 = 10 + 12 + 15 = 37
The answer is 37 pieces
V(10, -1)->v' (i need help plz)
Answer:
in which rotation or reflection. sorry
v (10,-1)........rotation about 90°....….>v'(1,10)
formula is
v(x,y).........rotation about 90=(-y,x)
Answer:
"i just wanted points so idek"
In an upcoming NFL draft, there are 8 quarterbacks to be chosen from. How many different ways can the top three be chosen?
Answer:
six
Step-by-step explanation:
2. Mr. Penman had 2/3 liter of salt water. He used 1/5 of a liter for an experiment. How much salt water does Mr. Penman have left?
Answer:
7/15
Step-by-step explanation:
Simplify the terms:
[tex]\frac{2}{3}=\frac{10}{15}[/tex] [tex]\frac{1}{5}=\frac{3}{15}[/tex]Combine the terms:
[tex]\frac{10}{15}-\frac{3}{15}=\frac{7}{15}[/tex]Therefore, the total of salt water would be left would be 7/15..
Subtract. Simplify and write the answer as a mixed number. 5 1/3 - 2 3/4
Answer:
2 7/12
Step-by-step explanation:
5 1/3 − 2 3/4
=16/3 − 2 3/4
=16/3 − 11/4
=31/12
=2 7/12
Simplify: 100 ÷ 10 • 2 • 4 ÷ 2
Answer:
40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Multiply 2*4 which is 8 then divide 8 by 2 and get 4 and divide 100/10 and get 10.Then multiply 10 by 4 and get 40.
-6(x - 7)
Help Please
Answer:
-6x + 42
I distributed the -6
An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.93. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X.
Probability Mass Function of X
x f(x)
0
1
2
3
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Let P(X = x) mark x model number classified correctly.
The mass function of the probability:
[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]
[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]
Solve x2 – 3x - 108 = 0.
A. X = -9 and x = 12
B. x = 9 and x = 12
C. X = 9 and x=-12
D. X=-9 and x = -12
Answer:
-9 and 12
Step-by-step explanation:
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 250 pounds is Group of answer choices 0.9505 0.9772 0.0228 0.4505 0.0495
Answer:
0.0228
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.
This means that [tex]\mu = 200, \sigma = 25[/tex]
The probability of a player weighing more than 250 pounds is
This is 1 subtracted by the pvalue of Z when X = 250. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{250 - 200}{25}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
The probability of a player weighing more than 250 pounds is 0.0228
A garden patio is covered with grey slabs and yellow slabs.
1/5
of the slabs are grey.
a) Write down the ratio of grey slabs to yellow slabs.
Give your answer in its simplest form.
There are 55 slabs in total.
b) Work out the number of yellow slabs.
yello
A) 1:4
B) 44
There are 11 grey slabs and 44 yellow slabs.
There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation:
20 points i need help and explain because my teachers wants me to explain
112
You would use
A=a+b/2h=8+20/2·8=112
Varsha runs 3.2 km a day how far does varsha run in a 9 days
Mark translated trapezoid ABCD to trapezoid A'B'C'D'. Vertex B was at (4,3). If
B' is now at (-2, 2), what did he have to do to get there?
Answer:
jjjgfdiogmdkohmk
Step-by-step explanation:
Answer:
move 6 units left and 1 down
THIS ASSIGNMENT IS DUE IN 5 MINUTES...IF ITS CORRECT ILL MARK IT AS BRAINIEST, thanks in advance❤️! (this is my second time posting this, the answer isn’t 80...if you don’t know how to do this please don’t try answering the question) Find the area of the regular polygon given below
Answer:
400
Step-by-step explanation:
Answer:
11,011.055
Step-by-step explanation:
Algebra.
Can anyone help
Answer:
aa
Step-by-step explanation:
Answer:
(−x)(3x^2+1)
Step-by-step explanation:
idek know how to explain.
If the average speed of a car is 45 km/hr, how far can it travel in 40 hr?
Answer: 1,800 km/hr
Step-by-step explanation:
If you multiply 45 and 40, you get 1,800
Please Help me
What is the answer
Answer:
here you go I hope this helps:)
If a circle has a diameter of 22
centimeters, what is the radius?
Step-by-step explanation:
In a circle
Diameter (d) = 22 cm
radius (r) = d / 2 = 22 /2 = 11 cm
Hope it will help :)
If f(x) = 6x – 4, what is f(x) when x = 8?
0.16
[tex]f(8)=6\cdot8-4=48-4=44[/tex]
Answer:
substitute x therefore 6*8=48
48-4=44
How many sides does a regular polygon have if each interior angle has a measure of 108° ?
Answer:
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5.
As a fraction in simplest terms, what would you multiply the first number by to get the second?
PLEASE HELP ME :(
I will give brainliest plus 40 points!
Answer:
28/x=34
28/34=x
x=0.825is the required answet
Answer:
x = 17/14
Step-by-step explanation:
28 * x = 34
x * 28 = 34
Let's divide by 28 on both sides:
x = 34/28
Let's simplify by dividing both 34 and 28:
x = 17/14
17 is a prime number, so we can't simplify any further.
x = 17/14
There were 312 students in the school. If 24 of the
students were taking Math PACE 1056, how many students were taking Math PACE 1056?
Answer: 288
Step-by-step explanation: 312 - 24 = 288
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 4 In this number.
842,963
The Crimson Bot clicks 26 times in ____ sec, and its Unit Rate is 10.4 clicks per second. Find the number of sec.
Answer: The Crimson Bot clicks 26 times in _2.5_ sec,
To find the time, Invert the Unit rate to Seconds per Click, times the number of clicks.
Step-by-step explanation:
Find Seconds per click by dividing 1/10.4
That is ⁵/₅₂ or 0.09615384615 seconds per click
Multiply by 26 clicks. ⁵/₅₂ × 26 = 2.5
Or invert the unit rate and multiply by the given number of clicks:
1/10.4 × 26 =
what is 550 x 34 ?????
Answer:
18,700
Step-by-step explanation:
Answer:
18,700
Step-by-step explanation:
i hope this helps
-4p + 41 = 13 need help with this
tell my what the hell that is please i really dont know
Answer:
The last choice (2,-2, 3)
Step-by-step explanation:
Reason is because just apply the coordinate plane to the bottom of the gray sheet. Then you have exact coordinates of G, because it is directly above C, and C is 2,-2,0, so G is 3 up, so that makes it 2, -2, 3.
What is 12/10 as a mixed number?
Answer:
1 1/5