Find the 87th term of the arithmetic sequence 12, 0, -12,
Answer:
- 1020
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = a₂ - a₁ = 0 - 12 = - 12 , thus
a₈₇ = 12 + (86 × - 12) = 12 - 1032 = - 1020
Answer:
-1008
Step-by-step explanation:
what is 6 plus6^2÷3
HELP PLS
Which expressions shows a correct way to set up the slope formula for the line that passes through the points (5, 0) and (6, -6)?
Answer:
-6-0
____
6-5
Step-by-step explanation:
its suppose to be a fraction hope it helps please mark brainliest
Solve the division problem below.
The quotient is
Answer:
25/8
Step-by-step explanation:
Answer:
It's -6
Step-by-step explanation:
i got it right lol
i need help please.
Answer:
Vertex point = (3, -2)
Step-by-step explanation:
Given AXYZ = ARST.mZR=(6n+1). m _Y=108°, and m _Z=(91-4)', what is the value of n?
Answer:
A
Step-by-step explanation:
Given that the triangles are congruent then corresponding angles are congruent, thus
∠ S = ∠ Y = 108°
∠ T = ∠ Z = 9n - 4
Given ∠ R = 6n + 1
The sum of the 3 angles in Δ RST = 180°
Sum the 3 angles and equate to 180, that is
6n + 1 + 108 + 9n - 4 = 180 , simplify
15n + 105 = 180 ( subtract 105 from both sides )
15n = 75 ( divide both sides by 15 )
n = 5 → A
The swamp middle school basketball team purchased new equipment and uniforms. The total cost of the equipment was $245 and each uniform cost $21. If the total cost of their purchase was $518, how many uniforms did they buy? Create an equation for this situation.
Answer:
13 uniformsStep-by-step explanation:
Step one:
given data
total cost of equipments= $245
cost of each uniform=$21
Total purchase = $518
Step two:
The amount spent on uniform is total purchase minus the total cost of equipment
=518-245
=$273
Hence the total cost of the uniform is $273
if one will cost $21, then the number of uniforms they bought is
=273/21
=13 uniforms
Answer:
25 uniforms
Step-by-step explanation:
518/21= 24.6 round to 25
What is -3(5+5)>5x?
Answer:
The answer is x < -6
hope that helps
-3(5+5)>5x
-15+-15>5x
-30>5x
5x<-30
Divide both side by 5
5x÷5 < -30÷5
x<-6
Answer:
-15 is the incorrect answer the correct answer is x < --6
Step-by-step explanation: Simplify 5+55+5 to 1010.
-3\times 10>5x−3×10>5x
2 Simplify -3\times 10−3×10 to -30−30.
-30>5x−30>5x
3 Divide both sides by 55.
-\frac{30}{5}>x−
5
30
>x
4 Simplify \frac{30}{5}
5
30
to 66.
-6>x−6>x
5 Switch sides.
x<-6x<−6
20% of a is 11. what is a
Answer:
2.2
Step-by-step explanation:
11*.20 = 2.2
So that is 20% on 11.
Hope this helps!
can someone help me
Answer:
16.25
Step-by-step explanation:
6.5 + 5 = 32.5/2 = 16.25
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Given:
The expression is 3.8 - 2.923.
To find:
The subtraction.
Solution:
We have,
[tex]3.8-2.923[/tex]
It can be written as
[tex]3.800-2.923[/tex]
Now,
3 . 8 0 0
-2 . 9 2 3
-----------------
0 . 8 8 7
-----------------
So, [tex]3.800-2.923=0.887[/tex]
Therefore, the value of [tex]3.800-2.923[/tex] is 0.887.
Psychological fact: people with bad handwriting tend to be smarter
Yes, they jolt things down causing bad handwriting
What is the slope of the line?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = - 3[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let me know if you need explanation.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Write a rule for the following graph
Answer:
y = x + 1
Step-by-step explanation:
This is in slope intercept form. 1 is the point that you start at: (0, 1)
The slope is 1
y = 1x + 1 or
y = x + 1
How do I do this? I’m lost
Answer:
x=12
Step-by-step explanation:
3x+7=5x-17
2x=24
x=12
Someone help I’ll give brainlist lol
The teacher-to-student ratio at a small school was 1:10. After 4 new teachers were added, the teacher-to-student ratio changed to 1:6. How many MORE students than teachers were at the school BEFORE the additions were made?
Answer:
10 more to every 1 teacher i believe
Step-by-step explanation:
Jessica can walk 2 1/2 miles in 3/4 of an hour. What is her speed in miles per
hour?
Answer:
3 1/3 miles
Step-by-step explanation:
Find the unit rate. 2 1/2 is the numerator because distance is usually the numerator when it comes to unit rates. 3/4 is the denominator.
Can anyone help me please ??
Answer:
c equal 11.40 Step-by-step explanation: c is the hypotenuse so under square root 9^2 +7^2
Answer:
√130 ≈ 11.4
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
9² + 7² = c²
130 = c²
√130 = √c²
√130 = 11.4
Karina is showing her steps to solve the expression −26.7 ÷ one third. (1 point) In which step did Karina make an error? Step 1: −26.7 ÷one third Step 2: −26.7 ⋅ −3 Step 3: 80.1
Answer:
step 2
Step-by-step explanation:
step 2 is supposed to be (-26.7 multiply by 3) since the reciprocal of 1/3 is 3 and not -3. the answer should be -80.1 instead of 80.1
Expand and simplify 3(2x + 1) +2(x + 4)
Answer:
8+11
Step-by-step explanation:
Answer:
3(2x + 1) +2(x + 4)
6x + 3 + 2x + 8
8x + 11
Step-by-step explanation:
Rewrite
barrel
as a unit rate.
hour
Answer:
B. 2/5 barrel/hour
Step-by-step explanation:
cross multiply 1/5 and 2/1
=2/5
Find a line parallel to
y = 2x + 3
that passes through
the point (0,6)
The answer should be in
the form of y = mx +b
m =
__, b =
(pls hurry)
Answer: m = 2; b = 6
y = mx + b
because the line parallel to y = 2x + 3
=> [tex]\left \{ {{m=2} \atop {b\neq 3}} \right.[/tex]
the line passes through the point (0,6) => 6 = b
Step-by-step explanation:
Can somebody plz answer all of them correct except number 7!!! Please thanks so much :) it’s my corrections :/
WILL MARK BRAINLIEST
Answer:
Number 8 is going to be 5/2
Number 9 is going to be 31/8
Number 10 is going to be 7/4
Number 11 is going to be 29/6
Number 12 is going to be 67/13
Step-by-step explanation:
Hope this helped
If I scored a 16 out of 20 on my Reading test, what percentage did I score?
Answer: 80
Step-by-step explanation:
Answer: 80%
Step-by-step explanation:
16 divided by 20 = 0.8
how do you write a equation with (0,2) and (3,3) in slope-intercept form?
Answer:
m= 3-2/ 3-0= 1/3
Step-by-step explanation:
y2= 3 y1= 2
x2= 3 x1= 0
Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' total wages for Kaley and Tom if h represents the number of hours Tom worked.
Answer:
7.68h
38.4 + 7.68h
Step-by-step explanation:
Earnings per hour = $7.68
This week Kaley worked 5 more hours than Tom in overtime
h = number of hours Tom worked.
Tom's total earnings for the week = earnings per hour × number of hours
= $7.68 × h
= 7.68h
Tom's total earnings for the week = 7.68h
Kayley's total earnings for the week = earnings per hour × number of hours
He works 5 hours more than Tom in overtime.
Tom = h
Kayley = 5 + h
Kayley's total earnings for the week = earnings per hour × number of hours
= (7.68) × (5 + h)
= 38.4 + 7.68h
Kayley's total earnings for the week =
38.4 + 7.68h
A racecar is racing along a circular track. The car starts at the 3-o'clock position and travels CCW along the track. The car is constantly 8 feet from the center of the race track and travels at a constant speed and it takes the car 7.854 seconds to complete one full lap.
a. How many radians does the car sweep out per second? radians per second Preview
b. Write a function fthat determines the car's distance to the right of the center of the race track (in feet) in terms of the number of seconds t since the start of the race. f(t)
Answer:
a. The car sweeps out 0.799 radians per second.
b. f(t) = 8 cos (0.799t)
Step-by-step explanation:
Given that:
The radius r = 8 feet
a.
The time t it takes to complete one full lap = 7.854 seconds
Recall that:
Angular velocity ω = 2π / t
So if in 7.854 seconds, the car sweeps = 2π radian
∴
per second, the car will sweep ω = 2π/ 7.854
ω = 0.799 rad/sec
Thus, the car sweeps out 0.799 radians per second.
b.
Since, r = 8 feet.
Suppose the car travels an angle θ in time (t),
Then the general equation for the horizontal component is:
f(t) = rcos( ωt)
f(t) = 8 cos (0.799t)
The true statements are:
The car swept out [tex]0.255 \pi[/tex] radians per secondsThe function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]The given parameters are:
Radius = 8 feetTime = 7.584 seconds(a) The radian swept per secondsTo do this, we simply calculate the angular velocity as follows:
[tex]\omega = \frac{2\pi}{T}[/tex]
Substitute 7.854 for T
[tex]\omega = \frac{2\pi}{7.854}[/tex]
Simplify
[tex]\omega = 0.255 \pi[/tex]
Hence, the car swept out [tex]0.255 \pi[/tex] radians per seconds
(b) The function at time tTo do this, we simply make use of the general equation for the horizontal component as follows:
[tex]f(t) = r\cos( \omega t)[/tex]
Substitute 8 for r
[tex]f(t) = 8\cos( \omega t)[/tex]
Substitute [tex]\omega = 0.255 \pi[/tex]
[tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Hence, the function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Read more about angular velocity at:
https://brainly.com/question/6860269
As a nurse in a maternity ward, you are tracking the weights of newborn babies. In the month of August, 360 babies are born, with a mean weight of 8.1 pounds. In the month of September, 291 babies are born, with a mean weight of 7.8 pounds.
what, approximately, is the mean weight for babies born during the two-month.?
7.83 pounds
7.93 pounds
7.95 pounds
7.97 pounds
7.99 pounds
Answer:
C
Step-by-step explanation:
By coincidence, Kimberly's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 9-liter containers while blue paint is sold in 12-liter containers. What is the smallest amount of each paint color the store must have sold?
Answer:
36 liters
Step-by-step explanation:
We solve this question using the least common multiple method
Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.
Multiples of 9:
9, 18, 27, 36, 45, 54
Multiples of 12:
12, 24, 36, 48, 60
Therefore,
LCM(9, 12) = 36
Hence, the smallest amount of each paint color the store must have sold is 36 liters