Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?
Answer:
42
Step-by-step explanation:
the half of 42 is 21 so if she mailed the half of it then she just have 21 cards
In the equation = + , what does b represent?
Answer:
Although the equation is incomplete (b doesn't appear), I'll venture a guess that the correct equation looks something like this:
y = 2x + b [or y = mx+b]
b is the y-intercept.
Step-by-step explanation:
In the format of y = 2x + b, b represents the y-intercept (the value of y when x = 0).
In a bag, the ratio of red to blue counters is 3:4.
If 3 red counters are removed the ratio of red to blue counters becomes 3:5.
How many blue counters are there in the bag?
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
The variable f models the fee (in dollars) for climbing d meters.
f=110+0.12d
What is the initial fee?
110 is the initial fee.
intial fee is the y-intercept.
16.11 ÷ 99
19.6 ÷ 20
0.9 ÷ 11
50.8 ÷ 45
0.1414 ÷ 2
0.213 ÷ 31
6. Line a: y - 3x = 4
Line b: y = 3x + 5
Line c: y - 4x = 3
Which lines are parallel
Answer:
Line a and b
Step-by-step explanation:
how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester
[tex]\boxed{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2} }[/tex]
- Need a step-by-step answer!
- Thank you!
[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1}{1-n^2}+\dfrac{2}{2-n^2}\dots \dfrac{n}{1-n^2}\right)[/tex]
Take LCM as 1-n^2[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1+2+3\dots n}{1-n^2}\right)[/tex]
1+2..n=n(n+1)/2[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{\dfrac{n(n+1)}{2}}{1-n^2}\right)[/tex]
[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n(n+1)}{2(1-n^2)}[/tex]
[tex]\\ \sf\Rrightarrow \lim_{n\to infty}\dfrac{n(1+n)}{2(1-n)(1+n)}[/tex]
[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n}{2(1-n)}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{\infty}{2-\infty}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{-1}{2}[/tex]
[tex]{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2}) } \\ = {\sf \lim_{n \to \infty} (\frac{1 + 2 + ..n}{1-n^2})} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \div 1 - {n}^{2} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \times \frac{1}{ 1 - {n}^{2}} )} \\ ={\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2(1 - {n}^{2} )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(1 + n)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 (1 - n )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 - 2 n } )} \\ = \sf \frac{ \infty }{2 - \infty } \\ = \frac{ - 1}{2}
[/tex]
Answer:
[tex] \frac{ - 1}{2} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
EASY QUESTION! MARK BRAINLIEST!
if i pay $3.50 a month how much do i pay a year? :)))
Answer:
42
Step-by-step explanation:
3.50x12 = 42
what is the 5th multiple of 6
Answer:
30
Step-by-step explanation:
What is 6, 5 five times?
Or 5x6?
Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.
Answer:
I believe the answer is 47. Forgive me if I'm wrong
a calculus problem that i have no idea what to do please help
Answer:
-[tex]\sqrt{5}[/tex]/8
Step-by-step explanation:
so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.
rewrite the function to be -(5h)^1/2
then take its derivative using power rule and chain rule
-(1/2)*(5)*(5h)^(-1/2) **the five comes from the chain rule and taking the derivative of the 5h
then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795
64 divided by 1184 worked out
Answer: 18.5
Step-by-step explanation: 1184/64= 18.5
Max points i need this for finals
Answer:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]
[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]
X = -4 – -2 = -2
Y = 4 – 10 = -6
[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]
Equation of the line:
y = 3x + 16
When x=0, y = 16
When y=0, x = -5.3333333333333
What is the LCM of 8 and 10
If 2 caterpillars eat 6 leaves each day, how many leaves do 12 caterpillars need each day?
Answer:
72 Leafs
Step-by-step explanation:
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer:
(c) multiplication property of equality
Step-by-step explanation:
Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.
What two numbers multiplied together equal 42 but when added they equal -13
Answer: -7 and -6
Step-by-step explanation:
Can someone please take the time out of They’re day and help me with this
Answer:
a. 3x = 2x + 10, b. x = 10, c. 30 degrees
Step-by-step explanation:
Angle 4 and angle 6 = 180 degrees, so
3x = 2x + 10
x = 10
Angle 7 is congruent to angle 6, so it is also 2x + 10, x = 10, so it is 30 degrees.
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and sum to 180° , that is
(a)
3x + 2x + 20 = 180 , simplifying
(b)
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
(c)
∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then
∠ 7 = 2x + 20 = 2(32) + 20 = 64 + 20 = 84°
in what step did audrey make her mistake in
Answer:
step A
Step-by-step explanation:
she should have added x to both sides.
Answer:
-x+6=5x+30
6=6x+30
6x=-24
x=4
if you want to get rid of the -x you have to add x not take away x
Hope This Helps!!!
Can you help me, please?
Answer:
listen picture is not clear
If a dozen exercise books cost 144, what will 14 of the same books cost
enter an algebraic expression for the word expression.
2 decreased by n
Answer:
2 - n
Step-by-step explanation:
2 decreased by n means n less than 2.
Answer:
Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14
Step-by-step explanation:
2-n Plz mark brainliest if correct
Find the inverse function. f(x) = (x + 1
Answer:
( x + 1 ) ^ 3
Step-by-step explanation:
f(x) = 3√x - 1
replace x with y
x = 3√y - 1
solve for y,
x = 3√y - 1
x^3 + 3x^2 + 3x + 1 = (x+1)^3
HOPE THIS HELPS :)
Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm. (Plus could you tell me which sides i can use for starting the diagram) please help me before tmrw
Answer:
see attached
Step-by-step explanation:
I find it usually works well to draw the longest side first. Then draw arcs with radii equal to the other two side lengths. They will cross at an angle that makes the position of the third point easy to find.
Need help quick !!!!!!!
write an equation for the nth term of the arithmetic sequence.then fine a10
Answer is attached.
Hope it helps :)
Someone please help me with this I learned this in class of the day I don’t remember it
What is the value of x?
A. 24
B. 33
C. 72
D. 75
Answer:
B. x = 33
Step-by-step explanation:
a breakfast cereal advertizes that it has 5g of fibre in every 30g serving. How much fibre would someone receive if he or she ate a 50g serving of that cereal?
Answer:
8.33... grams of fiber
Step-by-step explanation:
The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.
So Fiber = 16.66% * serving size or
F = 16.66 * 50 = 8.33...
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
1. =
Step-by-step explanation:
1.
R.H.S
5.2 + 5.a
(now taking 5 common)
5(2+a)