Answer:
smaller number = - 12
larger number = -2
Step-by-step explanation:
x + y = - 14
x - y = 10 Add
2x = - 4 Divide by 2
x = -4/2 = - 2
-2 + y = - 14 Substitute - 2 = x in x + y = - 14
y = - 14 + 2 Combine
y = - 12
A librarian sorts 500 books at a constant rate. After 6 days, the librarian still has 200 books to sort. How much time does it take to sort the books from start to finish?
Answer: 10 days
Step-by-step explanation: So if the librarian sorted at a constant rate, then they sorted the same amount of books all 6 days. If they still have 200 books left to sort, then they sorted 300 books over 6 days. This means that they sorted 50 books per day. 200 divided by 50 is 4. So it will take 4 more days to finish sorting all the books. So altogether, it will take 10 days to sort all of the books.
The total number of required days is 10.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
The total number of books is 500.
The books left after 6 days is 200.
The number books read per day is given as,
(500 - 200)/6
= 300/6
= 50
Now, number of days the remaining number of books to be read is,
200/50 = 4
Thus, the total number of days is 6 + 4 = 10.
Hence, it will take 10 days from the start to finish all the books.
To know more about unitary method click on,
https://brainly.com/question/28276953
#SPJ1
Can anyone answer and offer a simple step by step explanation for finding the volume for this?
Answer:
x^6
Step-by-step explanation:
Volume=w times height times length
Volume=x^2 times x^2 times x^2
x^2+2+2
x^6
Answer:
x^6 is volume
Step-by-step explanation:
So a volume of a cube is lenght times width times height.
Or the cube of a side(number to the power of 3)
Let's say one of the sides is 7. Then the volume would be 7 times 7 times 7 or 7 cubed which is equal to 729.
Write the hypothesis: If the pen is not blue then today is Friday.
a. The pen is not blue
b. If the pen is not blue
c. If today is Friday
d. today is not Friday
The graph represents f(x) = |x| + 3.
what is f(-2, 2)?
A) -2
B) 0
C) 1
D) 2
Amna wants to rent a boat and spend less than 51 . The boat costs 6 per hour, and Amna has a discount coupon for 3 off What are the possible numbers of hours Amna could rent the boat?
Answer:
9 hours or less. with a $3 off coupon she could spend up to $54. divide that by $6 per hour and that gives you a possibility of nine hours of boat rental.
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU! 5.3x - 9 + 7.6x
Answer:
12.9x-9
Step-by-step explanation:
5.3x-9+7.6x
5.3x+7.6x = 12.9x
=12.9x-9
In which pair do both decimals represent rational numbers?
O A. 0.296 and 0.9888...
B. 4.462837305718274... and 0.9888
O C. 6.32891237302554... and 0.9888...
D. 6.32891237302554... and 0.296
Answer:
Step-by-step explanation:
Option A. 0.296 and 0.9888 is correct because rational no are terminating and repeating ..
10. A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the
station every 6 minutes. Suppose it is 6:30 am right now. At what time will both trains leave the
station together?
Answer:
7:00
Step-by-step explanation:
help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answer:
Step-by-step explanation:
Express into slope form
Answer: y= 3/2x+1
Step-by-step explanation:
Which equation matches the function described in the table?
Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.
Select the correct answer.
Brianna created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Brianna drew?
The equation of the line of best fit that Brianna drew is: c. y = 2x + 5
Recall:
Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.Thus:
Slope of a line (m) = change in y/change in x
From the scatter plot given,Change in y = 2 units
Change in x = 1 unit
Slope = 2/1 = 2
The y-intercept is the point where the line of best fit intercepts the y-axis which is at y = 5.
y-intercept (b) = 5
Substitute b = 5 and m = 2 into y = mx + b
y = 2x + 5
Therefore, the equation of the line of best fit that Brianna drew is: c. y = 2x + 5Learn more about line of best fit on:
https://brainly.com/question/17143626
Answer:
c ..)
Step-by-step explanation:
A local little league has a total of 66 players, of whom 80 % are right-handed. How many right-handed players are there?
Answer:
The amount of right-handed players is 53
Hope this Helps :)
how do i solve this help
Answer is : A .. Hope it helped
Solve the equations:
2^(3x−4) = −2
Answer:
x=NaN your welcome hehe
The life expectancy (M) in the United States is 85 with a standard deviation of 6 years. A random sample of 36 individuals is selected. What is the probability that the sample mean will be between 82.5 and 86 years?
Answer:
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=85\\\sigma=6\\n=36[/tex]
As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.
Compute the probability that the sample mean will be between 82.5 and 86 years as follows:
[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]
Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Standard deviation σ = 6
Sample size n =36
What is the central limit theorem?The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.
Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.
So, the standard deviation of sample means = σ/√n
The probability that the sample mean will be between 82.5 and 86 years:
[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]
[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]
[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]
Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
To get more about the central limit theorem visit:
https://brainly.com/question/18403552
A hot air balloon is descending at a rate of 6.75 feet per second.
What is the change in the balloon's height after 3 1/3 seconds?
The hot air balloon descends 22.498 feet after 3.333 seconds.
How much does a hot air balloon's height decreases?
The situation indicates that the height decrease is directly proportional to time. The distance is equal to the product of speed (v), in feet per second, and time (t), in seconds.
s ∝ t
s = v · t (1)
If we know that v= 6.75 ft / s and t = 3.333 ft, then the change in the height of the hot air balloon is:
s = (6.75 ft / s) · (3.333 s)
s = 22.498 ft
The hot air balloon descends 22.498 feet after 3.333 seconds.
To learn more on direct variation: https://brainly.com/question/14254277
#SPJ1
hey anyone bother to help
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answer:
x=11, y=1 or (11, 1)
Step-by-step explanation:
I used substitution to solve this. Basically wherever there's an x, I would fill it in as 12-y.
2(12-y)+3y=29
24+2y+3y=29
24+5y=29
subtract 24 from both sides
5y=5
divide by 5
y=1
Now substitute y back in to get x.
x=12-1
x=11
You can also graph this into desmos, and wherever they intercept, that's your answer. I hope this helps!
Mrs. Alonza ordered 4 x 10³ markers for her store. How many markers did she order?
What is 2052 divided by 76
Answer:
27
Step-by-step explanation:
Answer:
Yes, by 27 times
Step-by-step explanation:
I hope it helps you
What is the missing value in ___x 1/10=0.27
12. Sean lives 2.25 miles
from school. Write this
distance as a fraction in simplest form.
Joan planted 150 tulip bulbs, but only 20% of them bloomed. How many tulips
bloomed?
Estimate the squrae root to rhe nearest hundredth.
1. 138
2. 405
3. 800
4. 1150
5. 6500
6. 580
7. 300
8. 250
9. 284
10. 794
Salamt....
Answer:
1.11.83
2. 20.12
3. 28.28
4. 33.91
5.80.62
6.24.08
7.17.32
8. 15.81
9. 16.85
10. 28.18
Step-by-step explanation:
pls make me brainliest
What is the value of the expression 3/19 7/2
Answer:
It is 2/15
Step-by-step explanation:
[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]
Dont know if this helps but here you go :)
Pls answer this I’m begging you I will give a brainless if you answer correctly and professionally
Answer:
answer big no l
x=-6
y=10
Step-by-step explanation:
answer of 4
x 30
Answer:
Step-by-step explanation:
1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )
8x - 4 = 180
8x = 184
x = 184 / 8
x = 23°
y = 3x - 8 ( vertically opposite angles )
y = 3 × 23 - 8
= 69 - 8
= 61°
4) 5 x + 7 = 2x + 97 ( vertically opposite angles )
5x - 2x = 97 - 7
3x = 90
x = 90 / 3
x = 30°
Hope this helps
plz mark as brainliest!!!!!
There are 20 squares and 16 triangles. What is the simplest ratio of triangles to total shapes?
Answer:
4/9
Step-by-step explanation:
20+16= 36 total shapes. 16/36 simplifys to 4/9.
The simplest ratio of triangles to total shapes is 4:7.
Given that the number of squares=20 and the number of triangles=15.
The total number of shapes=20+15=35.
We need to find the simplest ratio of triangles to total shapes.
What is the ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.
Now, triangles: total shape=20:35
=4:7
Therefore, the simplest ratio of triangles to total shapes is 4:7.
To learn more about the ratios visit:
https://brainly.com/question/13419413.
#SPJ2
What function represents the amount of change given from a $10 bill, f(x), based on x, the number of bagels purchased? f(x) = 4x + O f(x) = -x + 10 Of(x) = x + 10 O f(x) = -x + 10
Answer:
the answer is c
Step-by-step explanation:hope this helps
Answer:
C or the third option, 3/4 x + 10
Step-by-step explanation:
100% correct please mark brainlist. HAVE A GREAT DAY
What is the sum of -6 and 12/6
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
multiply -6 with 6 so we can have common denominator as 12/6
that's gives us -36/6+12/6
-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4
pls mark this as brainliest!!!!
what will be the 40th term in the sequence defined by an=-12+4(n-2)
Answer:
140
Explanation:
an=-12+4(n-2)
an=-12+4([40]-2)
an=-12+4(38)
an=-152-12
an=140
The 40th term in the sequence defined by aₙ= -12+4(n-2) is 140
using AP formula,
aₙ = a + (n - 1)d
where
a = first term
d = common difference
n = number of terms
Therefore,
aₙ = -12 + 4(n-2)
n = 40
a₄₀ = -12 + 4(40 - 2)
a₄₀ = -12 + 4(38)
a₄₀ = -12 + 152
a₄₀ = 140
The 40th term of the sequence is 140.
learn more about arithmetic progression here: https://brainly.com/question/22069667?referrer=searchResults