Answer:
100°
Step-by-step explanation:
Let the angle = x
Its supplement = 180 -x
5*(180 - x ) - x = 300
5*180 - 5*x - x= 300 {Distributive property}
900 - 5x - x = 300 {Combine like terms}
900 - 6x = 300 {Subtract 900 from both sides}
-6x = 300 - 900
-6x = -600 {Divide both sides by (-6)}
x = -600/-6
x = 100
If 4 tickets to a show cost $17.60, what is the cost of 7 such tickets.
Answer:
30.80
Step-by-step explanation:
We can use a ratio to solve
4 tickets 7 tickets
------------------- = ----------------
17.60 dollars x dollars
Using cross products
4x = 17.60 * 7
4x =123.2
Divide each side by 4
4x/4 = 123.2/4
x=30.8
From the Rule y = -4x+1 fill in the following table
Answer:
y: 1, -3, -7, -11, -15
Step-by-step explanation:
Substitute the value of x in the chart for the formula given:
y = -4x + 1
For the first column in the x-row, do the following
y = -4(0) + 1
y = 1
And...
y = -4(1) + 1
y = -3
And so on.
when x=1,2,3,.... find limit x->infinity
choice
a. 0
b. 1
c. 2
d. 3
f. 4
help me!!!
Let y = √x, so the limit can be rewritten as
[tex]\displaystyle \lim_{y\to\infty}\left(\frac{\sqrt{y^6+y^2}}{y^2+3} - \frac{\sqrt{y^4+1}}{y+4}\right)[/tex]
Now,
[tex]\sqrt{y^6+y^2} = \sqrt{y^2\left(y^4+1\right)} = y\sqrt{y^4+1}[/tex]
so we can rewrite the limit further as
[tex]\displaystyle \lim_{y\to\infty}\left(\frac{y}{y^2+3} - \frac1{y+4}\right)\sqrt{y^4+1}[/tex]
Combine the rational terms:
[tex]\dfrac y{y^2+3} - \dfrac1{y+4} = \dfrac{y(y+4)-(y^2+3)}{(y^2+3)(y+4)} = \dfrac{4y-3}{(y^2+3)(y+4)}[/tex]
Then in the limit, we get
[tex]\displaystyle \lim_{y\to\infty}\frac{(4y-3)\sqrt{y^4+1}}{(y^2+3)(y+4)} = \lim_{y\to\infty}\frac{(4y^3-3y^2)\sqrt{1+\dfrac1{y^4}}}{y^3+4y^2+3y+12} \\\\ = \lim_{y\to\infty}\frac{\left(4-\dfrac3y\right)\sqrt{1+\dfrac1{y^4}}}{1+\dfrac4y+\dfrac3{y^2}+\dfrac{12}{y^3}} = \boxed{4}[/tex]
If 2 < 20x - 13 < 3. what is one possible value for x?
Answer:
one possible value for x is 31/40
Step-by-step explanation:
Let's isolate the 20x term. Add 13 to all three terms:
2 + 13 < 20x - 13 + 13 < 3 + 13
and this simplifies to:
15 < 20x < 16
Dividing all three terms by 20, we get:
15/20 < x < 16/20
A fraction halfway between 15/20 and 16/20 is (31/20)/2, so
one possible value for x is 31/40.
Check by substituting this into the original equation and checking whether that equation is now true:
2 <20(31/40) - 13 < 3
or
2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)
can someone pls help me asap!!!
Answer:
d
Step-by-step explanation:
y-6 = -4(x+1)
y-6 = -4x - 4
y = -4x + 2
Answer:
Option : DStep-by-step explanation:
Here,
y - 6 = -4(x+1)
=> y - 6 = -4x - 4
=> y = -4x - 4 + 6
=> y = -4x + 2 (option d) (Ans)
Factor 15x3 – 5x² + 6x – 2 by grouping. What is the resulting expression?
2.59 is greater or less than 2.684
Answer:
Less than.
Step-by-step explanation:
2.59 is less than 2.684 by 0.094
2.59 < 2.684
~
Answer:
Less than
Step-by-step explanation:
2.59 is smaller than 2.684 because the first number (the tenth) is bigger than the other first number (2.59) so it should be bigger.
Find the factors of 2×^2 +3×
Answer:
x(2x+3)
Step-by-step explanation:
rewrite in factored form
2x^2+3x
x(2x+3)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 3, 11, 4, 3, 10, 6, 4, 5.
A. 3.5
B. 5.75
C. 4.5
D. 8
Answer:
I am thinking it's c
I am not sure
Answer:
25th Percentile: 3.5
50th Percentile: 4.5
75th Percentile: 8
= Interquartile Range: 4.5
I think it shows it's '4.5'.
C
Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.
Answer:
The sum of the arithmetic series is 2717.
Step-by-step explanation:
The sum of an arithmetic sequence is given by:
[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term.
There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:
[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]
In conclusion, the sum of the arithmetic series is 2717.
YOU HAVE A GARDEN HOSE AND A 0.5 LITER CONTAINER AND A 0.3 LITER CONTAINER. YOU NEED TO MEASURE OUT 0.1 LITER OF WATER. HOW DO YOU DO IT
Answer:
Fill up the .3 container and then pour it into the .5
fill up the .3 again and fill up the .5 ... if all is poured in the .5 will overflow over the top.
stop when the .5 is totally full... only .3 will fit... the liquid left in the .3 will be .1
Step-by-step explanation:
The radius of a circle is 16 ft. Find its area in terms of pi
Step-by-step explanatio
Which function can be used to find r, the total amount the teacher pays in dollars when
z scissors are ordered?
A teacher is ordering scissors for her classroom.
• the teacher pays a one-time fee of $8.
• the teacher also pays $2 for each pair of scissors ordered.
If p and q are all positive integers and the maximum integer not greater than
31p/8q is 5, find the
minimum value of p +q .
Answer:
71Step-by-step explanation:
As per question we have:
p > 0, q > 031p/8q ≤ 5 ⇒ 31p ≤ 40qSince 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.
So the minimum value of p + q is:
40 + 31 = 71twice n
Algebraic expression
Answer and Step-by-step explanation:
2n is the algebraic expression for twice n.
#teamtrees #PAW (Plant And Water)
Hellllpppppp PLLLEASE! I need answer RIGHT NOW!!!!
Answer:
0.25 as a fraction is 25/100, which further simplified becomes 1/4
please help i’ll mark brainliest
Answer:
x=0
x=6
x=-1
Step-by-step explanation:
x(x^2-5x-6)
x(x-6)(x+1)
x=0
x=6
x=-1
HELP PLEASE !!
find the surface area of the cylinder and round it to the nearest tenth.
Answer:
18.8
Step-by-step explanation:
Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8
1. What will be the sale price of the tennis racquet once the discount has been applied?
2. What is 25% of $12?
3. Which answer shows the discounted sale price for this tablet?
Answer:
150 is the answer of your question. I HOPE IT WILL HELP YOU.
Answer:
1) $150
2) $3
3) $150
Step-by-step explanation:
1) 25% times $200=$150
2) 25% times $12= $3
3) Half of $300 is $150, which 50% off is half off.
Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved
already. Which option below will allow her to have enough money to buy the computer?
a. She spends $22 and earns $93.
b. She is given $38 and earns $42.
c. She spends $82 and earns $94.
d. She earns $580 and spends $422.
Answer:
D. She earns $580 and spends $422.
Step-by-step explanation:
The option of Monica earning $580 and spending $422 will allow her to have enough money to buy the new computer.
First, add $580 to the $284 that she already has saved:
284 + 580
= $864
Then, subtract $422 from this:
864 - 422
= $442
So, this option will leave her with $442. Since she only needed to save at least $399 to buy the computer, this means she has enough money for it.
The option that will let her buy the computer is D. She earns $580 and spends $422.
1/4(12x – 16) = 4 is equivalent to 3x – 16 = 4.
O False
O True
Hi there!
»»————- ★ ————-««
I believe your answer is:
O False
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Equation Given...}}\\\\\frac{1}{4}(12x-16)=4 \\---------------\\\\\rightarrow \left \{ {{\frac{1}{4} * 12 = 3} \atop {\frac{1}{4}*-16 = -4}} \right.\\\\\rightarrow \boxed{3x - 4 = 4}\\\\\\\rightarrow\boxed{3x - 4 = 4\neq 3x - 16 = 4} \leftarrow\\\\\text{The 'simplified' equation is not distributed correctly.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
3(-4x - 3) + 50 - 5= 0
Answer:
-12x-9+50-5=0
-12x+41-5=0
-12x+36=0
-12x=0-36
x= -36/-12
x = 3 Answer...
hope it helps
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]3(-4x - 3) + 50 - 5= 0[/tex]
⇒ Subtract 50- 5 from both sides:-
[tex]3\left(-4x-3\right)+50-5-\left(50-5\right)=0-\left(50-5\right)[/tex]
[tex]3\left(-4x-3\right)=-45[/tex]
⇒ Divide both sides by 3:-
[tex]\frac{3\left(-4x-3\right)}{3}=\frac{-45}{3}[/tex]
[tex]-4x-3=-15[/tex]
⇒ Add 3 to both sides:-
[tex]-4x-3+3=-15+3[/tex]
[tex]-4x=-12[/tex]
⇒ Divide both sides by -4:-
[tex]\frac{-4x}{-4}=\frac{-12}{-4}[/tex]
[tex]x=3[/tex]
OAmalOHopeO
help me
its geometry
Answer:
A = 216.24 km²
Step-by-step explanation:
Chi needs to simplify the expression below. (1.25 -0.4)-7+4x3 Which operation should she perform first?
I need an answer quickly
Answer:
She should first perform the operation in the parentheses, you can reference the order of the operations based on PEMDAS.
Step-by-step explanation:
1. parentheses operations
2. multiply 4 x 3
3. add the value you get from the parentheses with -7
4. with that value add it to the product of 4 and 3
Hope that helped! :)
Answer:
Subtraction
Explanation:-
[tex]( 1.25 -0.4) \div7+ 4 \times 3[/tex]
Using BODMAS Rule:-
BracketsOrdersDivisionMultiplicationAdditionSubtractionIn bracket, the operation subtraction should be performed first .
I’m so confuseddddd
Answer:
i think second number.
not sure but i think that's the answer
How much would $600 invested at 8% interest compounded continuously worth after 3 years?
Answer:
[tex]a \: = \: pe ^{rt} [/tex]
[tex]a = 600e^{(.08)(3)} [/tex]
[tex]a = 762.75 \: dollars[/tex]
Since the question stated that the interest is compounded continuously, we know that Euler number is required
after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.
Answer:
Step-by-step explanation:
The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.
[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so
a = 32000
The initial population is 32000
Please help right now ASAP!!!make sure your right
Answer:
Step-by-step explanation:
can a triangle have two right angles ?explain
Answer:
a triangle is a closed polygon that consists of three sides and three angles,and it's one of the basic shape that we basic shape that we knowing geometry.
What is the solution of ?
Answer:
The answer to your question would be x=12. Equation is worked out below
Step-by-step explanation:
5 /2 x−7= 3 /4 x+14
5 /2 x-3/4x − 7 = 3 /4 x-3/4x +14
7/ 4 x−7=14
7 /4 x−7+7=14+7
7/ 4 x=21
do the opposite of 7/4x (division)
7/4 / 7/4x = 21 / 7/4
4/7 / 7/4x (cross each other out) = 21 / 4/7
x=12
Answer:
[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]
I hope I helped you^_^
