The length of the shorter string is 18 inch while that of the longer string is 30 inch.
An equation is an expression used to show the relationship between two or more variables and numbers.
Let s represent the length of the shorter string.
One piece is 12 inches longer than the other
Length of longer string = s + 12
Since a 48-inch piece of string is cut into two pieces. Hence:
s + (s + 12) = 48
2s + 12 = 48
2s = 36
s = 18
Length of longer string = 18 + 12 = 30
The length of the shorter string is 18 inch while that of the longer string is 30 inch.
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A fair coin is tossed four times. What is the probability of obtaining at least three tails?
The probability of obtaining at least three tails is; 5/16
When tossing a coin four times, the number of possibilities since one is either a tail or head is;
Total number of possibilities = 2⁴ = 16
Now, various ways of getting at least three tails are;
TTTH, TTHT, THTT, HTTT, and TTTT.
This is a total of 5 different ways.
Thus;
P(obtaining at least 3 tails) = 5/16
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Solve for the value of X
Check the picture below.
Determine the center of the ellipse whose equation is.
Answer:
It is reported as an equation but it has no equal sign.
Care to explain?
Step-by-step explanation:
Answer:
(4, -3) is the center
Step-by-step explanation:
The equation ...
16x^2 +25y^2 -128x +150y +81 = 0
can be rearranged by completing the square(s) to ...
(4x -16)^2 +(5y +15)^2 = 400
Dividing by 400 gives ...
(x -4)^2/5^2 +(y +3)^2/4^2 = 1
This is the equation of an ellipse centered at (4, -3) with major axis 10 and minor axis 8.
What is the standard form of the parabola whose vertex form is y= 2(x+4)^2+5
A. y = 2x2 +16x - 37
B. y=-2x² + 4x - 25
C. y = 2x° +16x +37
D. y = 2x² + 4x - 25
[tex]y = 2(x+4)^2+5\implies y = 2(x+4)(x+4)+5 \\\\\\ y = 2(\stackrel{\mathbb{USING~FOIL}}{x^2+8x+16})+5\implies y= 2x^2+16x+32+5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 2x^2+16x+37~\hfill[/tex]
Please see all the screenshots. I have included multiply problems in this one question.
Answer:
so basacilly the answer to all of the question is a
Step-by-step explanation: you welcome!
what is the value of x in m(x+n)=n
Answer:
open the brackets
mx+mn=n
mx=n-mn
since we want to know the value of x , then we divide both sides with m ,thus giving us
x=n/m - n
Answer:
x = [tex]\frac{n-mn}{m}[/tex]
Step-by-step explanation:
m(x + n) = n ← distribute parenthesis on left side by m
mx + mn = n ( subtract mn from both sides )
mx = n - mn ( isolate x by dividing both sides by m )
x = [tex]\frac{n-mn}{m}[/tex]
Graph the solution to the following system of inequalities.
-7x + 5y < -10
5x + 4y > 8
Then give the coordinates of one point in the solution set.
Graph attached
Solution is (1.6,0)as an estimation we are told 5 miles is 8km convert 60km to miles
Answer:
60km is 37 Miles
it is a decimal- 37.2 Miles
Step-by-step explanation:
divide 60 by 1.609
Answer: using this we can say that 60km is 37.5 miles
Step-by-step explanation:
first you divide 60 and 8 which gives us 7.5
using this we multiply 7.5*5=37.5
What expression is equivalent to 23x?
A.) 5(3x) + 8x
B.) 2x + 6x + 12x
C.) 4(4x + 2x)
D.) x + x + x + 19x
Answer:
multiply 5 times 3 that is equal to 15.
15 plus 8 is equal to 23 and add the x.
What would be the total cost of
Software M over time?
Satisfaction 55%. $0
$[?]
Not Satisfied
$6,000
Software X
45% - $18,000
Software M.
$12,000
95% - $0
Satisfaction
Not Satisfied
5% • $2,000
Entor
1. The total cost of Software M over time is $10,000.
2. The total cost of Software X over time is $4,000.
Data and Calculations:
Cost of Software M = $12,000
Satisfaction rate with Software M = 95%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $2,000
Percentage of not satisfied = 5%
The total cost of Software M over time is $10,000 {($12,000 x 95% - $0) + ($12,000 x 5% - $2,000)}.
Cost of Software X = $6,000
Satisfaction rate with Software X = 55%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $18,000
Percentage of not satisfied = 45%
The total cost of Software M over time is $4,000 {($6,000 x 55% - $0) + ($6,000 x 45% - $2,000)}.
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One bridge in Maryland is 6,946 meters
long. It is 46 times as long as another
nearby bridge. How long is the shorter
bridge? Explain.
Answer:
151 meters
Step-by-step explanation:
6946/46=151 meters
Answer:
Step-by-step explanation:
If you want to be formal, let the shorter bridge = x
46x = 6946 Divide by 46
x = 6946/46
x = 151
So the shorter bridge is 151 meters long.
1.) Write .378 as a fraction in simplest form
HELP ME PLEASEEEE I WILL GIVE BRAINLIEST AND POINTS
Answer:
in my class just say the (x) mean number 1
Please help!!!!
check for understanding:
Answer:i thinks is 115.9 maybe im not sure because its in my HW
Step-by-step explanation:
Answer:
x=7.245
Step-by-step explanation:
pythagoras theorem says:
c=√a^2+b^2
so:
c=a2+b2=3.22+6.52≈7.245
There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.
NEED HELP ASAP! WHOEVER EXPLAINS FIRST GETS BRAINLIEST!!
Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.
-2/5x-9<9/10
HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)
If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
5 hours
15 hours
18 hours
45 hours
It would take 5 hours.
1/15 of the lawn in 1/3 hours means it takes 1 hour to water 3/15 of the lawn aka 1/5
1/5 of the lawn in 1 hour would mean it takes 5 hours to finish watering the entire lawn.
Together, Mike and Bill have $50 more than Joe has. Mike has $26 more than Bill. The three boys have a total $506. How much money does each boy have.
i wish i had that much money
Answer:
Step-by-step explanation:
1. 84
2. 96
Answer: Divisible by 2, 3, 6
3. 896
4. 942
Answer: Divisible by 2, 3, 6
5. 22,335
6. 39,075
Answer: Divisible by 3, 5
Find Prime Factorizations and Least Common Multiples In the following exercises, find the
prime factorization.
7. 86
8. 78
Answer: 2 3 13 ⋅ ⋅
9. 455
10. 400
Answer: 222255 ⋅⋅⋅⋅⋅
11. 432
12. 627
Answer: 3 11 19 ⋅ ⋅
In the following exercises, find the least common multiple of each pair of numbers using the
prime factors method.
13. 8, 12
hope that help mark me brinliylist
An automobile manufacturer produces 79% of its cars at plant A. If 5% of the cars manufactured at plant A have defective emissions control devices, what is the probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device?
Answer:
79
over
2000 or 79/2000 or 3.95%
Step-by-step explanation:
The probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device is 6.33%.
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Given, An automobile manufacturer produces 79% of its cars at plant A and 5% of the cars manufactured at plant A have defective emissions control devices.
∴ The probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device is,
= (5/79)×100%.
= 6.33%.
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#SPJ2
(-3,5) (3,7)
What is the slope of AB ?
Plz help me NOW I will mark u brainliest
[tex]m\% \: \: of \: \: p\% \: \: of \: \: n \\ = \frac{m}{100} \times \frac{p}{100} \times n \\ = \frac{m \times p \times n}{100 \times 100} \\ = \frac{mnp}{10000} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car,
Capital Cars charges $45 for rental and gas and $0.35 per mile. For bow many miles is the rental cost at
both companies the same?
Answer:
Step-by-step explanation:
40 + 15 + 0.25m = 45 + 0.35m
55 + 0.25m = 45 + 0.35m
10 = 0.10m
m = 100 miles
What is the slope of the line (-5,-7) and (4,-1)
Answer:
2/3
Step-by-step explanation:
slope = change in y / change in x = (-7-(-1))/(-5-4) = (-6)/(-9) = 2/3
Matt has 5 cookies Addie eats 3. How old is Addie?
Answer:
old enough to eat a cookie
which is the least per pound 5 pounds of chicken for 9.45,3 pounds for 5.97, or 1 pound for 2.05
5 pounds - 1.89
3 pounds - 1.99
1 pound - 2.05
In this case, the 5 pounds of chicken is the cheapest by exactly one dime.
John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set of knives?
Pls help me
Given the following data pairs (x, y): (1, 1.24), (2, 5.23), (3, 7.24), (4, 7.60), (5, 9.97), (6, 14.31), (7, 13.99),(8, 14.88), (9, 18.04), (10, 20.70) obtain a prediction for x = 4.5
Answer:
(5.33) the answer but I am not sure
Can someone please help me
Answer: B
Step-by-step explanation: I beilieve it's B but, don't take my word.
Choose the true statement about virtue-based ethics.
i. According to the principles of virtue-based ethics, character is more important than actions.
ii. According to the principles of virtue-based ethics, right and wrong are assessed using culture as a guide.
iii. According to the principles of virtue-based ethics, the consequences of actions are very important.
iv. According to the principles of virtue-based ethics, rules are used to evaluate actions.
Virtue based ethics holds that character is more important than actions.
Virtue based ethics is the aspect of ethics that holds that the moral character of a person if of more paramount importance than the person's actions and its consequences.
Hence, the true statement about virtue based ethics from the options is that; "according to the principles of virtue-based ethics, character is more important than actions."
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Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save ?
Answer:
50%
Step-by-step explanation:
75/150 = x/100
x = 50
Answer:
50%
explanation
half of 150 is 75(75x2)