Answer: A
Step-by-step explanation:
Miguel started running, and he runs 1 mile in the first week, then the equation will be y = 2x + 1. Hence, option A is correct.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
Miguel runs for 1 mile in the first week.
Then, his goal is to run 2 miles farther than his distance for the previous week.
Then the equation will be: y = 2x + 1
Here, y is the total distance and x is the number of miles.
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The first 5 terms of some sequences are given. State a rule that each sequence could follow.
2, 4, 6, 8, 10
5, 7, 9, 11, 13
50, 25, 0, -25, -50
1/3, 1, 3, 9, 27
The first , second and third sequence is arithmetic and the fourth sequence is geometric.
A sequence is a series of numbers such that each number follows a very specific rule or explicit function which determines its value. There are numerous types of sequence and series . But for this particular question we will need to know :
Arithmetic sequence : Number in an arithmetic sequence or AP are at equal distance from each other if plotted on a number line. The difference between any two consecutive numbers is the same and it is called the common difference.Geometric sequence : a sequence of numbers is said to be in a GP such that the ratio of each number to the preceding and the succeeding numbers is same.Let us now take each series of numbers and find the type of sequence it is:
sequence 1: 2, 4, 6, 8, 10
Common difference = 10-8 = 6-4 =2
So the sequence is arithmetic.
sequence 2: 5, 7, 9, 11, 13
Common difference = 13-11 = 7-5 =2
So the sequence is arithmetic.
sequence 3: 50, 25, 0, -25, -50
Common difference = 50-25 = - 25 - ( - 50) = 25
So the sequence is arithmetic.
sequence 2: 5, 7, 9, 11, 13
Common difference = 13-11 = 7 - 5 =2
So the sequence is arithmetic.
sequence 2: 1/3, 1, 3, 9, 27
Common ratio = 3 ÷ 1 = 27 ÷ 9 = 3
So the sequence is geometric.
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The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.
Answer:
Number of students
5
8
Step-by-step explanation:
Edg 2020
Answer:
number of students,5,8
Step-by-step explanation:
Use the figure for Items 2 and 3. Lines PS and TR intersect at point Q.
P
T
What is mZSQR?
R
(2m + 4)º
S
(3m + 1)º
The measure of angle SQR is 74
How to determine the value of SQP?The angles are given as
2m + 4 and 3m + 1
These angles are same side interior angles
So, we have
2m + 4 + 3m + 1 = 180
Collect the like terms
So, we have
2m + 3m + 4 + 1 = 180
Evaluate the like terms
So, we have
5m = 175
Divide both sides by 5
m = 35
Substitute m = 35 in SQR = 2m + 4
SQR = 2 x 35 + 4
Evaluate
SQR = 74
Hence, the measure of angle SQR is 74
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PO =
13.
If Q is the midpoint of PR, find the coordinates of R
If P(6,2) and Q(-4,5).
(Show using algebra or show the pattern used)
P
R
RI
Using mid point formula.
In which we have
Q(-4,5)=(6+x/2) , (2+y/2)
-4=6+x/2 and 5 =2+y/2
-8=6+x and 10=2+y
x=-14 and y=8
Therefore the required value of R{-14,8}
Nataly collects stickers. Her grandma gave her 64 cat stickers for her birthday. If she set
aside 4 pages for her cat stickers and wants the same amount of stickers on each, how
many stickers will Nataly put on each page?
16
20
18
14
PLS HELP
Answer:
16
Step-by-step explanation:
16 x 4 = 64
Nataly will have to put 16 cat stickers on each page.
Which is more, 79 pints or 10 gallons?
Answer:
79 Pints =
9.875 Gallons
so 10 gallons is more
Step-by-step explanation:
Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. What fraction of a box does each student receive?
Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.
To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).
Step 1: Convert 3 1/4 to an improper fraction.
3 1/4 = (4 × 3 + 1) / 4 = 13/4
Step 2: Divide the total number of boxes by the number of students.
Fraction of a box per student = (Total boxes) / (Number of students)
Fraction of a box per student = 13/4 ÷ 12
Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).
Fraction of a box per student = 13/4 × 1/12
Step 4: Simplify the fraction if possible.
Fraction of a box per student = 13/4 × 1/12 = 13/48
So, each student receives 13/48 of a box of supplies.
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−5=5(d+4) whats the answer
Answer:
-5
Step-by-step explanation:
can anyone turn 3.25x+6.50y=520 into slope intercept form? pls!
Answer:
y=-1/2x+80
Step-by-step explanation:
Answer:
y = 1/2 + 80
I just divided the whole sequence by 6.50, so that y could end as 1y = etc.
I need help with math! I hope you are having a great day!
ect the statement that best describes a rational number when expressed as a decimal.
A rational number in decimal form has both a positive and negative solution.
A rational number in decimal form will never terminate or repeat.
A rational number in decimal form will always be positive.
A rational number in decimal form either terminates or repeats.
The statement that best describes a rational number when expressed as a decimal is a rational number in decimal form either terminates or repeats.
What is a rational number?
A rational number is a number that can be expressed as a fraction of two integers. Examples of rational numbers are 1, 1/2 and 0.1.
A decimal is a non-integer that is made up of a whole number and non-integers. The whole number and the integers are separated by a decimal point. Examples of decimals are 0.3, 1.5.
A terminating decimal a decimal which can be expressed as a finite number of figures. A repeating decimal is a decimal that has a digit that repeat without ending.
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Evaluate 5x-6 when x=3
Answer: 9.
5(3) = 15 - 6 = 9. But if you have to switch to addition, 5(3) = 15 + 6 = 21. Hope this helps!
Answer:
9
Step-by-step explanation:
5*3=15
15-6=9
X+2=y-4 solve equation for y
Answer:
x=y−6
Step-by-step explanation:
Answer:
x - y = -6
......
hope it helps!
A bank says you can double your money in 8 years if you put $2,000 in a simple
interest account. What annual interest rate does the bank pay?
1%
25%
2.5%
12.5%
Answer:
1%
Assuming that interest is paid yearly,
4000 = 2000*(1+x)^8
2 = (1+x)^8
1 + x = root of 2 in 8th degree (2^1/8)
x = 2^1/8 - 1
x = 0.0905
or 0.01
I.e. 1%
Answer:
12.5
Step-by-step explanation:
2000 / 12.5 = 225
225 x 8 = 200
How would I translate 8+7t=22 into a verbal sentence.
Samantha and Felicity are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Samantha sold 6 packages of tulip bulbs and
12 bags of daffodil bulbs for a total of $198. Felicity sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127. Find the cost each of one package of tulips bulbs and one bag of daffodil bulbs.
Given g(x)=f(x)+k, what value of k transforms function f into g?
Answer:
fg (gx)= xf (kg)
gf (fx) = f
Jane is thirteen years younger than twice Ruby’s age. Nora is 5 years older than Ruby. If their ages sum to 52, find each girl’s age.
Answer:
J=17 N=20 R=15
Step-by-step explanation:
J=Jane
R=Ruby
N=Nora
J=2R-13
N=5+R
J+N+R=52
(2R-13)+(5+R)+R=52
Slove for R and plug into each equation
Answer:
Ruby is 15, Jane is 17 and Nora is 20.
Step-by-step explanation:
Let x represent the age of Ruby.
Jane: 2x - 13
Ruby: x
Nora: x + 5
52 = (x) + (2x - 13) + (x + 5)
52 = x + 2x - 13 + x + 5
52 + 13 - 5 = x + 2x + x
60 = 4x
x = 15
Jane:
2(15) -13
= 17
Nora:
(15) + 5
= 20
12-1/5r = 2r +1 solve for r
Answer:
r=5
Step-by-step explanation:
1.simplify both sides of the equation.
2.substract 2r from both sides.
3.substract 12 from both sides.
4.multiply both sides by 5/(11)
5. your answer will be 5.
r=5
Can some one help me graph y=4x + 5 I keep doing something wrong.
Answer:
y = - 3x + 4
Step-by-step explanation:
Line is passing through the points (1, 1) & (0, 4)
Slope of line = (4-1)/(0-1) = 3/(-1) = - 3
Equation of line
y = mx + b
Here m = - 3, b = 4
y = - 3x + 4
Using point (1, 1)
y - 1= - 3(x - 1)
y = - 3x +3 +1
y = - 3x + 4
HELP ME PLEASE AND QUICK TOO
(02.01)
Which is the ratio of the number of months that begin with the letter M to the total number of months in a year? (2 points)
a
2 to 12
b
2 to 10
c
10 to 12
d
12 to 2
Answer:
A is the right answer for your question.
solve for the equation 3r = -24
Answer:
yes
Step-by-step explanation:
bc Quick maths
Answer:
r=-8
Step-by-step explanation:
Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.
Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅
Please help i got a test tomorrow and need to understand the question please
Answer:
The measurement of angle JKL is x
Step-by-step explanation:
The angle bisector of KE tells you that the two angles on either side of that line are equal.
If we take the measurement of the big angle and subtract out the little angle that we know, we will find the measurement of the angle we are looking for.
4x + 6 - (3x +6)
4x + 6 - 3x -6
x
solve y= 2x^2 + 4x + 1 by quadratic factoring
Solve the rational equation by combining expressions and isolating the variable y (solve for y). So, nothing further can be done with this topic:
Answer: y=2x^2+4x+1
Answer:
five and thirty eight thousandths
five more than twice a number is less than ten as an inequality?
plz help!!!!!!!
Answer:
2x+5<10
Step-by-step explanation:
please mark as brainliest
Find the solution for the equation.
3(n-4)=-12
round to the nearest hundredth if necessary.
1/2 |2x-3|+5=13
Solve for x
Answer:
x=19/2
x=- 13/2
Step-by-step explanation:
multiply both sides by 2 |2x -3|+10=26
move constant (10 to the right and change sign |2x-3|=26-10
subtract the numbers |2x-3|=16
use absolute value (rewrite the absolute value 2x-3=16
equation as two separate equations one (+) and (-) 2x-3= -16
2x-3=16 move constant to the right
2x=16+3 add the numbers
2x=19 divide both sides by 2
x=19/2
same steps with with second one
2x-2= -16
2x= -16 +3 move constant to the right change sign and add
2x= -13 divide both sides by two
x= -13/2
The | | are not ( ) . They have different meaning , absolute value brackets. ok :)
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing? (–∞, 6) (–∞, 10) (6, ∞)
Answer:
the answer is D. (10, ∞)
Step-by-step explanation:
Determine the number of terms n in each arithmetic series.
12) a1 = 13, d = 3, Sn = 1225
Answer:
The number of terms n in arithmetic series is n=25
Step-by-step explanation:
We are given:
a₁ = 13
d = 3
Sₙ = 1225
We need to find number of terms i.e n
The formula used will be: [tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
Putting values and finding n
[tex]S_n=\frac{n}{2}(2a+(n-1)d)\\1225=\frac{n}{2}(2(13)+(n-1)3)\\1225=\frac{n}{2}(26+3n-3)\\1225=\frac{n}{2}(23+3n)\\2(1225)=n(23+3n)\\2450=23n+3n^2\\3n^2+23n-2450=0[/tex]
Now, solving using quadratic formula to find value of n:
[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Putting values: a=3, b=23 and c=-2450
[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-23\pm\sqrt{(23)^2-4(3)(-2450)}}{2(3)}\\n=\frac{-23\pm 173}{6}\\n=\frac{-23+ 173}{6}, n=\frac{-23- 173}{6}\\n=25, n=-\frac{98}{3}[/tex]
So, we get: [tex]n=25, n=-\frac{98}{3}[/tex]
Since number of terms can't be negative so, n= 25
So, the number of terms n in arithmetic series is n=25