37. The sum of two numbers is 86. The larger number is nine less than four times the smaller number. Find both numbers.
Answers
The larger number is 67 while the smaller number will be 19 for the given condition.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Suppose the larger number is x while the smaller number is y.
Sum will be as x + y = 86
The larger number is nine less than four times the smaller number.
x = 4y - 9
By substitution,
4y - 9 + y = 86
5y = 95
y = 19
x = 86 - 19 = 67
Hence "For the specified condition, the greater number is 67 and the smaller number is 19".
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Related Questions
Piper is going to invest $74,000 and leave it in an account for 11 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Piper to end up with $108,000?
Answers
Divide both sides by 74000
1.45946=e^11r
Ln1.45946=11r
.37807=11r
Divide by 11
.03437
3.44%.
Diane scored 356.789 points Jeff scored 190.499 points how many more points did Diane score than Jeff
Answers
Answer: 166.29
Step-by-step explanation:
Answer:
It's 166.29
Diane score 166.29 more than jeff
Step-by-step explanation:
356.789
- 190.499
= 166.29
Is (4,3) (2,1) endpoints of a vertical line, a horizontal line, or neither?
Answers
Answer:
neither
Step-by-step explanation:
is a diagonal line
Select all ratios equivalent to 3:2.
2:1
7:16
21:14
Answers
Answer:
Step-by-step explanation:
21 : 14
Both have 7 in common
3 : 2
So Option C 21 : 14 is the correct answer
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points. Find Keenan's and Rachel’s z-scores, to the nearest hundredth.
Answers
Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that [tex]X = 80, \mu = 77, \sigma = 4.9[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 77}{4.9}[/tex]
[tex]Z = 0.61[/tex]
Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that [tex]X = 78, \mu = 75, \sigma = 3.7[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 78}{3.7}[/tex]
[tex]Z = 0.81[/tex]
Rachel's z-score was of 0.81.
find the slope based on the date below
x: -4, 0, 4 8
y: 3, 8 13 18
HELPPP QUICKK PLZZ
Answers
Answer:
The slope is [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Slope of a dataset:
The slope of a dataset, having two points, is given by the change in y values divided by the change in x values
In this question:
Two points:
x = 0, y = 8
X = 4, y = 13
The slope is:
[tex]m = \frac{13 - 8}{4 - 0} = \frac{5}{4}[/tex]
The slope is [tex]\frac{5}{4}[/tex]
I’m dead for not knowing this
Answers
The correct answer is A: -2 + 2 = 0
Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How much will Colin have after 4 years to the nearest pound?
Answers
1500(1+0.04)^3 = 1687.30
1687.30(1+0.05) = 1771.67 to the nearest pound: 1772
Please help will give brainliest
Answers
Answer:
angle a+angle b+angle c=180°
90°+38°+angle c=180°
128°+angle c=180°
angle c=180°-128°
angle c =52°
52°+n°=180°
n=180°-52
n=128°
Find the area of the shape shown in the diagram below (dimensions are in ft):
Answers
Answer:
where is the picture???????????
Giving BRAINLYIST to whoever gets it right! PLEASE HELP!
Answers
Answer:
area = 117 cm²
Step-by-step explanation:
area = 1/2(b1 + b2)h
area = 1/2(17 + 9)(9)
area = 117 cm²
Answer:
A=117
Step-by-step explanation:
:))
Tricia made a 55% on her science test. If she got 11 problems correct, how many questions were on the test?
Answers
Answer:
20 questions
Step-by-step explanation:
20 · 0.55 = 11
A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter
Answers
A random sample of 60 was taken from a shipment of 12,500 light bulbs. There were 2 defective bulbs in the sample. How many defective bulbs would you expect in the entire shipment?
250
417
2,500
4,167
Answers
Answer:
417
Step-by-step explanation:
trust me
The defective bulbs in the entire shipment can be 417.
What is proportionality?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given that, a random sample of 60 was taken from a shipment of 12,500 light bulbs, there were 2 defective bulbs in the sample.
We need to find how many defective bulbs would you expect in the entire shipment,
Let there be x defective bulbs in the sample.
using the concept of proportionality,
2 / 60 = x / 12500
x = 417
Hence, the defective bulbs in the entire shipment can be 417.
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SRRY BUT PLEASE HELP What percent is equivalent to 1/25?
4%
5%
20%
25%
Answers
Answer:
4%
Step-by-step explanation:
1/25 is equal to 0.04
To convert a decimal to a percent... move the decimal 2 spots to the right
This will give you 4%
Hope this helps!
HOW TO CONVERT 1/25 TO A PERCENTAGE?
To write 1/25 to a percentage, you must remember that 1 equals 100% and that what you must do is multiply the number by 100 and add the symbol% at the end.
[tex] \bold{1 /25 * 100 = 0.04 * 100 = 4\%}[/tex]
And finally we have:
[tex] \bold{1/25 \: a \: percentage equals 4\%}[/tex]
A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval?
A. 95% of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100- g sample of various raw foods.
B. The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
C. We are 95% confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696.
D We are 95% confident that the predicted number of kilocalories per 100-g sample will be between 2.505 and 6.696.
E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Answers
Answer: E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Step-by-step explanation:
The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.
Given: A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696).
Interpretation: We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Correct option: E
User averysmartperson is helping with this question.
Answers
Answer:
[tex]x^2 + (y-60)^2 = 30,625[/tex]
Step-by-step explanation:
There are 42 carts, so there is 42 spaces in between them; if one of those spaces are 25pi/3 feet long, then 42 of them would be 25*42*pi/3 = 350pi (Perfect! no fractions)
350pi is the circumference. Now if we plug that into the circumference equation we get:
C = 2pi*r
350pi = 2pi*r
Divide both sides by pi to get rid of it
350 = 2r
Divide both sides by 2
r = 175 feet
So the new equation to graph it is:
x^2+y^2 = 175^2 = 30,625
We also know that the center of the Ferris wheel has to be at least 60 feet from the ground. Since the radius is more than that, a good bit of the Ferris wheel has to be underground OR we can make it higher (keyword: at least) if we want it to be above ground. I'll do the equation for underground since it more closely represents the question.
subtracting a number from y, shifts the graph up that much so:
[tex]x^2 + (y-60)^2 = 30,625[/tex]
I can't really draw it electronically but I can graph it:
Victor wants to buy fertilizer for his yard. The yard measure 55 feet by 60 feet the direction on the bag
of fertilizer say that one bag will cover 1,230 sq ft.
How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
Victor should buy
bags of fertilizer.
Answers
Answer:
3 bags
Step-by-step explanation:
55 x 60 = 3300 ft²
3300/1230 = 2.68 bags
Hector puts together two tables to make a long table for a class picnic.
One table is 7 feet 7 inches long. The other table is 6 feet 9 inches long.
What is the total length of the two tables?
Answers
Answer: 14 feet 4 inches
Step-by-step explanation:
Given: The length of the first table = 7 feet 7 inches
The length of the second table = 6 feet 9 inches
The total length of two tables = 7 feet 7 inches + 6 feet 9 inches
= (7+6) feet (7+9) inches
=13 feet 16 inches
Since 1 feet = 12 inches
The total length of two tables = 13 feet+ (12 inches +4 inches)
=13 feet +( 1 feet +4 inches)
= 14 feet 4 inches
Hence, the total length of the two tables = 14 feet 4 inches
A triangle has vertices at B(-3,0), C(2, -1), D(-1,2). Which series of transformations would produce an image with vertices B"(4,1), C"(-1,0), D"(2, 3)?
O(x, y) - (X. -y). (x, y) (x + 1. y + 1)
O(x, y) - (-x, y). (X. y) (x + 1, y + 1)
O(x, y) - (x, -y), (x, y) (X + 2, Y + 2)
O(x, y) - (-x, y), (x, y) + (x + 2, Y + 2)
Answers
Answer:
(b) (x, y) ⇒ (-x, y); (x, y) ⇒ (x + 1, y + 1)
Step-by-step explanation:
A graph shows the image is consistent with reflection over the y-axis
(x, y) ⇒ (-x, y)
and translation right 1, up 1
(x, y) ⇒ (x +1, y +1)
These transformations are listed in the second choice.
__
In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.
Janice and Emily are selling raffle tickets. So far they have sold 42 tickets, which is 12% of what they're trying to sell. How many tickets total are they trying to sell?
Answers
Answer:
350 tickets
Step-by-step explanation:
if you do 42/350, it would equal 12%, so 350 is the total
A recipe calls for one egg to serve every four people. It also requires two tbsp of salt for every five eggs used. If you are cooking a
banquet for 300 people, how many tbsp of salt will you need?
a. 7.5 tsp
b. 30 tsp
c. 15 tsp
d. 60 tsp
I
No calculator is allowed on this question.
Answers
Answer:
30
Step-by-step explanation:
300/4=75
75/5=15
15*2=30
The two-way table shows the number of students in a school who bring their lunch and/or who ride the bus:
Bring Lunch Do Not Bring Lunch Total
Ride Bus 40 35 75
Do Not Ride Bus 55 2 57
Total 95 37 132
How many more bring lunch than ride the bus? (4 points)
Answers
The correct answer is 20
Answer:
20
Step-by-step explanation:
People who don't ride the bus and bring lunch: 55
People who ride the bus and don't bring lunch: 35
55 - 35 = 20
Hope this helps!
Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008
Answers
Answer:
-6.075
Step-by-step explanation:
simple addition/subtraction
we multiply all the terms by "-1"
we add the first three terms then subtract the last from it
what is 3/7 divided by 2/5?
Answers
Answer:
1 1/14
you have to multiply by the reciprocal of the second fraction
How many gallons are in of a 7-gallon container of milk?
Answers
Answer:
7
Step-by-step explanation:
Uhh 7 divided by 1 is 7?
Answer:
7
Step-by-step explanation:
There are 7 gallons in a 7-gallon container of milk.
henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry
Answers
Answer:
4 inches taller
Step-by-step explanation:
aaron is 74 inches
what are 3 different equations that have x=5 as a solution
Answers
Answer:
1) x+y=50
2) 5x+2y=200
3)2x+4y=200
Hope this helps!
Answer:
x+3=8, 2x-8=2, and 4x-4=16
Step-by-step explanation:
Find the measure of angles 1-7
Answers
Answer:
no hablo espanol no mas
Step-by-step explanation:
For the length given below draw a line segment to match. Express the measurement as a equivalent mixed number. 4.8 cm
Answers
Answer:
there's nothing there
Step-by-step explanation:
The solution is, The length of line segment AB is 3.4cm.
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
here, we have,
The area of octagon is given as 2a^2(1+sqrt{2})
Where a is the side of octagaon.
All lengths of sides of octagon are same.
now, we get,
As, 2a^2(1+sqrt{2}) = 54cm
so, we have,
Then, a^2 = 54/2(1+sqrt{2})
a^2 = 54/4.828
a^2 = 11.19
a = 3.4 cm
Hence, The solution is, The length of line segment AB is 3.4cm.
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complete question;
What is the length of line segment AB, rounded to the
nearest tenth?
3.4 cm
O 4.8 cm
24 cm
0 27 cm