Answer: an=2(n-1)+1
Step-by-step explanation:
1,3,5,7, …
As the terms progress in the sequence, each term get increased by 2 to get to the next term. Hence, the change is linear and can be modeled with the function y=2(x-1)+1 where y=term value, x=term number and 1 is the first term in the sequence.
y=2(x-1)+1
an=2(n-1)+1 ==> n=term number while an=term value. an=nth term
Mathematics, 26.09.2021 14:00, aliyahgregory
Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6.
we get the value of x as 2.4 units when QR is 18 units.
We are given a segment PR.
We are also given that Q is the mid point of the segment.
So, we get that
PQ = QR
Now, we have that
QR = 18 units
PR = 5 x + 6
We have to sind the value of x.
Substituting the values of PR and QR in the equation, we get that:
5 x + 6 = 18
5 x = 18 - 6
5 x = 12
x = 12 / 5
x = 2.4 units
Therefore, we get the value of x as 2.4 units when QR is 18 units.
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3 consecutive numbers have a sum of 120. Write an equation to
determine what numbers these are, and find them.
In the adjoining figure, AB//CD. Show that, AC//BD.
Learn
for
A
70°
C
50%
B
60%D
T
As shown in the next figure, AB/CD results in AC/BD.
The definition of alternating interior angleWhen a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines.
based on the given value;
we are aware of this;
The adjacent figure displays
AB//CD.
∠BCD=∠ABC=50
(By alternating interior angle are equal)
∠ACB=70
∠ACD=∠BCD+∠ACB
=50+70
=120
∠CDB=60
∠ACD+∠CDB=180
Hence; AC//BD
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During a war, allies sent food and medical kits to help survivors. Each food kit helped 8 people and each medicine kit helped 6 people. Each plane could carry no more than 80,000
food kit weighed 20 pounds and each medicine kit weighed 10 pounds. In addition to the weight constraint on its cargo, each plane could carry a total volume of supplies that did no
cubic feet. Each food kit was 1 cubic foot and each medical kit also had a volume of 1 cubic foot. Assume that those helped by medicine kits were not helped by the food kits and vi
was the maximum number of people that could be helped with one plane of supplies?
Using a system of equations, it is found that the maximum number of people that could be helped with one plane of supplies is: 40,000.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are given as follows, considering the situation described:
Variable x: number of food kits sent.Variable y: number of medicine kits sent.Each food kit helped 8 people and each medicine kit helped 6 people, hence the total number of people helped is given by:
T = 8x + 6y.
This is because we consider that people were helped by only one of them, never both.
Each plane could carry no more than 80,000 pounds. Each food kit weighed 20 pounds and each medicine kit weighed 10 pounds, hence:
20x + 10y = 80000
2x + y = 8000
y = 8000 - 2x.
The maximum volume is of 6000 cubic feet, hence:
x + y = 6000.
y = 6000 - x.
Equaling both equations:
8000 - 2x = 6000 - x
x = 2000.
y = 6000 - x = 4000.
Then the maximum number of people helped is:
T = 8x + 6y = 8 x 2000 + 6 x 4000 = 40,000.
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Find the sum..
74 − (−12)
Answer:
86
Step-by-step explanation:
Adding integers:
74 − (−12)
We are subtracting a negative, which is like adding
74 + (12)
86
If a person who works 40 hours per week earns 51,200 per year, estimate that person’s hourly wage by rounding the annual income to the nearest ten thousand. Use the estimated that there are 50 weeks in a year
Answer:
$20 an hour
Step-by-step explanation:
20 x 50 = 1,000 and 1,000 x 51 = 51,000
A school club consists of 26 male students and 11 female students. If 4 students are selected to represent the club in the student government, what is the probability 2 will be male and 2 will be female?
The probability of selecting two male students is 0.47
The probability of selecting two female students is 0.08
Given,
Number of male students in a school club = 26
Number of female students in a school club = 11
Total number of students in the club = 26 + 11 = 37
Number of students selected to represent the club in the student government = 4
We have to find the probability of selecting 2 male and 2 female students:
Then,
The probability of selecting two male students = (26 / 37) × (25 / 37) = 0.47
The probability of selecting two female students = (11 / 37) × (10 / 37) = 0.08
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Round to the nearest one-hundred dollars: $3,245.31
A $3,245.30
B $3,300.00
C $3,200.00
D $3,000
Answer:
C
Step-by-step explanation:
Our choices would be 3,300 for 3,200. Those would be the answer rounded to the nearest 100 up and down. 3245.31 is between those numbers. Which number would it be closer to? 3200.
50 pounds of pet food for $37.99? what is the unit rate?
Answer: 1.31613582522
Step-by-step explanation:
{x|-1
Enter the solution in interval notation
The area of a parallelogram is 10 square inches. What is the missing measurement?
Answer:
nose ....................
Riley has $200.00. She spends $60.00 on a video game.
What percent of her money does Riley spend? Draw a diagram to show your thinking.
Answer:
Step-by-step explanation:
Question 27 help pls
Using a system of equations, it is found that you should mix 7 pounds of dried fruit and 3 pounds of nut.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: Number of pounds of dried fruit mix.Variable y: Number of pounds of nut mix.The mixture has a total of 10 pounds, hence:
x + y = 10 -> y = 10 - x -> x = 10 - y.
Considering the cost per pound of each, and the total cost of 10 x 5.34 = $53.4, we have that:
4.5x + 7.3y = 53.4.
Replacing x = 10 - y, we have that:
4.5(10 - y) + 7.3y = 53.4.
2.8y = 8.4.
y = 8.4/2.8
y = 3.
x = 10 - 3 = 7.
You should mix 7 pounds of dried fruit and 3 pounds of nut.
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Caitlin started with 18 stuffed animals and gave away x stuffed animals. Allie started with 30 stuffed animals and gave away three times as many stuffed animals as Caitlin did. How many stuffed animals did Caitlin give away, given they had the same number of stuffed animals left?
1. 2 stuff animals
2. 6 stuff animals
3. 12 stuff animals
4. 16 stuff animals
Answer: 6 stuff animals
Step-by-step explanation: Caitlin give away 6 and Allie give away 6 x 3 = 18 and she had 12 left so that leaves both of them with 12
Hope that helped!
What is the value of x in the equation 1/5x - 2/3y =30, when y = 15
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30 when y = 15
2/3 * 15 = 10
1/5x - 10 = 30
1/5x = 40
x = 200
Answer:
x = 200
Step-by-step explanation:
=> [tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]
=> Put the value of y into the equation
=> [tex]\frac{1}{5}x-\frac{2}{3}*15=30[/tex]
=> Simplify
=> [tex]\frac{1}{5}x-10=30[/tex]
=> Shift the 10 to the right side
=> [tex]\frac{1}{5}x=40[/tex]
=> Solve For x
=> [tex]x = 200[/tex]
- If The Answer Helped You Please Mark As Brainliest
A cannonball is fired in the air at an angle of 45∘. How far does it travel before it is
1,700 feet above ground? (Assume the cannonball travels in a straight line. Ignore the force of gravity and wind resistance. Give your answer to the nearest foot.)
It travels 2404 feet before it is 1,700 feet above ground;
The given question can be represented in the form of equation;
y = tan(45°)x + c;
Since it is launched from ground; c = 0;
thus; y = x is the equation of motion of cannonball;
According to question; y = 1700 feet
x = 1700 feet;
The distance travelled by cannonball will be
√(x² + y² = √(1700² + 1700²) (∵ it is a right angled triangle;
using Pythagoras theorem)
= 2404.16 feet
≅ 2404 feet
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The quotients of 16.5 divided by 10
At a carnival, Jenny bought 7 packs of 13 tickets each. She has used 39 of the tickets so far. How many tickets does she have left?
Answer:
52 tickets
Step-by-step explanation:
7 x 13 = 91
91 - 39 = 52
Which expression can be used to convert 100 USD to Japanese yen?
Answer:
The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)
You can use direct proportion to solve this:
If $1 is to Y99.30487 then what will $100 be equal to:
1 : 99.30487 Yen
100 : x
Cross multiply to get:
1x = 99.30487 Yen x 100
x = (99.30487 Yen x 100) / 1
Which can be written as:
= 100 ( 99.30487 Yen / 1)
In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)
Step-by-step explanation:
PLEASE HELP
8√18 x 3√8 =
Answer:
hope this helps
Step-by-step explanation:
Work out the missing number in this sum:
6.802 6 + 0.8+___
Answer: The answer might be 0.002
Step-by-step explanation: Looking at the number made it look like it.
and pls brainliest if I am right
Can somebody help me if you know what this is
Answer:
C
Step-by-step explanation:
this question is horribly phrased.
as far as I can tell after reading this multiple times, this is again looking for the GCF : the greatest common factor.
so, again, prime factor analysis :
168 :
168 ÷ 2 = 84
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 2 no
21 ÷ 3 = 7
7 ÷ 3 no
7 ÷ 5 no
7 ÷ 7 = 1 finished
168 = 2³×3×7
120 :
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 2 no
15 ÷ 3 = 5
5 ÷ 3 no
5 ÷ 5 = 1 finished
120 = 2³×3×5
the GCF is the part of the prime factors both numbers share :
2³×3 = 8×3 = 24
so, they can make 24 fruit cups with identical content and using all the fruits.
these pieces of information were missing in the text.
based on the text without the answer options I was already going for the maximum that each fruit cup has one piece of fruit, and that gives us 168 + 120 = 288 fruit cups max.
How to find A and B?
Answer:more work pls
Step-by-step explanation:
Write the expression in words 25+24 divide 6
The expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.
How to illustrate the information?It should be noted that an expression simply shows the relationship that exists between the variables.
In this case + means addition.
Therefore, the expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.
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What would be the area of a triangle with a base of 16 inches and a height of 1/8 inch?
Answer:
1 in^2
Step-by-step explanation:
The formula for calculating commission is
A c=x-y
B c=y-x
C c=mx+b
D c=prn
What is the Area of the Figure?
3
- 3
19 ÷ +525
(Simplify your answer.)
Answer:
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
PLEASEEE HELLPPPP
Mr. Lee is retiling his pantry floor. His pantry measures 4½ feet by 6½ feet. Each tile he plans to use measures ½ foot by ½ foot.
Answer:
117 tiles
Step-by-step explanation:
Area of rectangle = length * width
To find the number of tiles divide the area of pantry floor by the area of a tile.
Convert mixed fraction to improper fraction.
[tex]\sf 4\dfrac{1}{2}=\dfrac{9}{2}\\\\\\6\dfrac{1}{2}=\dfrac{13}{2}[/tex]
[tex]\sf \boxed{\text{\bf Number of tiles = $\dfrac{Area \ of \ floor}{area \ of \ a \ tile}$}}[/tex]
[tex]\sf = \left(\dfrac{9}{2}*\dfrac{13}{2}\right ) \ \div \left(\dfrac{1}{2}*\dfrac{1}{2}\right)\\\\\\= \left(\dfrac{117}{4}\right) \ \div \left(\dfrac{1}{4}\right)\\\\\\[/tex]
Use KCF method.
Keep the first fraction.Change division to multiplication.Flip the second fraction.[tex]\sf =\dfrac{117}{4}*\dfrac{4}{1}\\\\= 117[/tex]
Find two numbers a and b whose sum a + b is -9 and whose difference a - b is -1.
Answer:
a has two solutions for this case.
a₁: [tex]a=-9-b[/tex]
a₂: [tex]a=-1+b[/tex]
Step-by-step explanation:
A1[tex]a+b-b=-9-b\\a=-9-b[/tex]
A2[tex]a-b+b=-1+b\\a=-1+b[/tex]
➲ I hope this helps you.