Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?
write an equation using x as the variable
plz hurry im being timed
Answer:
$46.50 = $15+ $5.25x
it will take her 6 weeks
Step-by-step explanation:
she has $15, so that stays the same and the amount she saves each week is multiplied by the number of weeks. then solve the equation to find the value of x or the number of weeks and get 6 weeks
Answer:
6 weeks
Step-by-step explanation:
5.25 times 6 equals 31.5 plus 15 equals 46.50
1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help
Answer:
Step-by-step explanation:
3(-3) - 2 = -9 - 2 = -11
3(1) - 2 = 3 - 2 = 1
3(5) - 1 = 15 - 1 = 14
∠GHJ and ∠MHJ are complementary. If m∠GHJ=(6x)° and m∠MHJ=18°, find the value of x.
Answer:
The value of x = 12
Step-by-step explanation:
Here, we are to find the value of x
If the two angles are supplementary, it means that they add up to be 90 degrees
Thus;
∠GHJ + ∠MHJ = 90
6x + 18 = 90
6x = 90-18
6x = 72
x = 72/6
x = 12
For homework, Olivia had to complete 15 problems. She completed 6. What is the ratio of problems she still has to complete to the number of completed problems
Answer:
3:5
hope this helped :)
10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *
Answer:
19.1
Step-by-step explanation:
Which of the following equations could you solve by first adding six and then dividing by negative three?
6.3 x= -9
+ 6 = -9
-3
-3 - 6 = -9
3 x-6 = -9
Answer:
-3 x - 6 = -9
Step-by-step explanation:
solve it please fo 35 points
Answer:
b
Step-by-step explanation:
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
Determine if 0.27322370013414... is rational or irrational and give a reason for your answer.
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
It is found that 0.27322370013414... is rational number.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Since, rational number is any integer, fraction, terminating decimal, or repeating decimal.
Thus, 0.27322370013414... is rational number.
Learn more about a number pattern:
brainly.com/question/14471389
#SPJ2
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
How many births occurred among women over the age of 40?
Answer:
66
Step-by-step explanation:
45+17+4
Answer:
66
Step-by-step explanation:
Following the x-axis on the chart, labeled Mother's age (in years), add all the values that happened after age 40 (45 + 17 + 4 = 66)
Daisy made 6 phone calls in 13 hour. At that rate, how many phone calls can she make in 1 hour?
Answer:
She can make almost 1 phone call in an hour (particularly, 46 minutes of call per hour)
Step-by-step explanation:
This problem can be solved by using ratios and proportions.
Step 1: Identify the "knowns" from the "unknown."
It is known that Daisy can make 6 phone calls in 13 hours. Now, the problem is asking for the number of phone calls Daisy can make in 1 hour.
The "unknown" here is the number of phone calls Daisy can make in 1 hour.
Step 2: The values should be plug into the proportion.
[tex]\frac{6 phone calls}{13 hours}[/tex] = [tex]\frac{x phone calls}{1 hour}[/tex]
Step 3: We can now solve the proportion.
[tex]\frac{6}{13}[/tex] = [tex]\frac{x}{1}[/tex] ⇒x = 0.46 calls per hour (almost 1 call per hour)
if the sides of a rectangle are 12 and 15, then the diagonal is
Answer:3x41 squared
Step-by-step explanation:
A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°
Answer:
2(3x)+2(2x+22)+x+41=360°
Step-by-step explanation:
Sum of exterior angles of any polygon is 360°.
So if we add up all five exterior angles of the pentagon, we have
INEQUALITY QUESTION PLEASE HELP
Answer:
C
Step-by-step explanation:
What is the Y-intercept and The slope of the equation?
2x+7y=14
Can someone please help me with this!!!
Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9
Y-intercept choices
A. 2
B. 7
C. -2
D. 0
Answer:
Slope = -2/7; Y intercept = +2
Step-by-step explanation:
First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:
y = mx + b
Here's how:
[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]
The above shows this equation in slope intercept form: y = -2/7x + 2.
The slope of this line is -2/7 while the y intercept is 2!
*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!
Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3
A patient has surgery for a knee replacement. Operating room charges are $3,286.00, anesthesia is $1,554.80, the charge for a hospital room for 3 days is $1,952.42 per day, medications total $1,297.59, and miscellaneous charges are $739,15, The insurance company pays $10,187.84.
What percent is paid by the insurance company?
Answer:
Step-by-step explanation:
Step one: Calculate the total cost --> $12734.80
I divided the amt insurance will cover by the total amt and I got 80%
Find the slope of the line passing through the points (3,7) and (3,-5).
Answer:
I believe the slope of the line passing through the points is x= -3
if X = 5 then 3( 2X - 4) - X
Answer:
13
Step-by-step explanation:
Answer:
well if you're looking for the answer, it is: 13
Step-by-step explanation:
Find the slope from the table
Answer:-4/1
Step-by-step explanation:
(Please Helpp will give brainliest) 54 points
Answer:
6
Step-by-step explanation:
multiple the reciprocal of -2/1
z^3= 216
take cubed root
z=6
Answer: z= 6 ; -1/2 x 6 to the 3rd power = -108
Step-by-step explanation: z= -1/2 x 6= -3; z= -3 to the 3rd power = -108.
a class has the same number of girls and boys only 8 boys were absent on a particular day and then the number of girls was double the number of boys what is the number of boys and girls
Solve for x and y in the diagram below
Answer:
x= 39
y= 123
Step-by-step explanation:
Please see the attached picture for the full solution.
Whlch statement best describes how to determine when a graph is a function?
Answer:
why is the graph so i can help you
Step-by-step explanation:
Does anyone know the answer? It’s due in an hour PLEASE HELPPP!!
When i did that sort of thing i had a trick. But you are correct.
Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)
Step-by-step explanation:
Hey there!
Given;
Slope (m) = -3/5
And passes through the point(4,-4).
Now; The equation of a line in slope intercept form is y= mx+b.
So, try to bring it in y= mx+b form.
Firstly let's use one-point formula.
[tex](y - y1) = m(x - x1)[/tex]
Now, keep all values.
[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]
Now, simplify to get answer.
[tex]5(y + 4) = - 3(x - 4)[/tex]
[tex]5y + 20 = - 3x + 12[/tex]
[tex]5y = - 3x + 12 - 20[/tex]
[tex]5y = - 3x - 8[/tex]
[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]
Therefore the equation is y = -3/5x - 8/5.
Hope it helps...
If f(x) = -3x + 8
find f(0) = ?
What does Direct & Inverse variation mean?
Answer: In direct variation, as one number increases, so does the other. This is also called direct proportion: they're the same thing. ... In inverse variation, it's exactly the opposite: as one number increases, the other decreases. This is also called inverse proportion.
Step-by-step explanation:
Step-by-step explanation: Direct variation is the relationship between two variables such that the variables have a constant ratio, k, were k ≠ 0.
If we call our variables a and b, we can use the
following formulas to represent direct variation.
[tex]\frac{a}{b} = k[/tex] or [tex]b = ka[/tex]
Inverse variation is also a relationship between two variables but the difference is that as one variable increases, the other variable decreases.
Suppose that our variables are g and h.
As g increases, h will decrease or as g decreases, y will increase.
(4x3y5z) (-6x5y4z) =
Answer:
-360y^9z^2
[tex]-360y^9z^2[/tex]
Step-by-step explanation:
x²+3x−10=0x
lesser x=
greater x=
please help me
i will give brainleist
Answer: x=-5 x=2
Step-by-step explanation:
x^2+5x-2x-10=0 factor out x from the expression
Xx(x+5)-2x-10=0 factor out x+5 from the expression
(x+5)x(x-2)=0 when the product of factors equals 0, at least one factor is 0
x+5=0 solve for the equation x
x-2=0
x=-5
x=2