Answer:
I think the answer is 194.6 miles on the third day
Step-by-step explanation:
Complete the steps to solve the equation. 9 – 4x = 2x 1. Addition property of equality: 9 = 6x 2. Division property of equality: = x
Answer:
x = 3/2
Step-by-step explanation:
Given:
9 - 4x = 2x
Step 1: Addition property of equality
9 - 4x + 4x = 2x + 4x
9 = 6x
Step 2: Division property of equality:
9 = 6x
9/6 = 6x/6
9/6 = x
x = 9/6
= 3/2
x = 3/2
Check:
9 - 4x = 2x
9 - 4(3/2) = 2(3/2)
9 - 12/2 = 6/2
9 - 6 = 3
3 = 3
could someone explain how do I order this / answer the questions? (picture) In not sure if I find the common factors first or cross multiply since its Inverse operations. Marking brainliest when I can.
Answer:
you can put the number on one side of the equation then the "x" part on the other side.
with c) 4x = 6-10
4x = -4
x = -4/4
x = -1
with d) 7x - 1 = 4x + 8
7x - 4x = 8 + 1
3x = 9
x = 9/3
x = 3
Answer:
c) x = -1. d) x = 3
Step-by-step explanation:
c) move like terms together. then get x by itself
10 + 4x = 6
-10
4x = -4
4x/4 = -4/4
x = -1
d) move like terms together. then get x by itself
7x-1 = 4x+8
+1 -4x
3x = 9
3x/3 =9/3
x = 3
The numerator and denominator of a fraction are in the ratio of 2 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
2 n = 5 d and 2 n - 4 = d - 2
2 n = 5 d and n - 2 = 2 d - 4
5 n = 2 d and n - 2 = 2 d - 4
5 n = 2 d and 2 n - 4 = d - 2
Step-by-step explanation:
according to question let 2a and 5a be the given rations
2a/ 5a given fraction
2a-2/5a-2
A man walks at the rate of 88 paces to the minute if the average length of his paces is 0.875m, find the time take to walk 2.31km.
Answer:
30 minutes
Step-by-step explanation:
Walk rate = 88 paces/ minute
Average length of pace = 0.875 m
Time taken to walk 2.31 km ;
The distance in metres :
1000 m = 1 km
2.31 km = (1000 * 2.31) = 2310 m
Recall :
Time taken = distance / speed
Distance walked in a minute = 88 * 0.875 = 77 m
Time taken = 2310 / 77
Time taken = 30 minutes
can you help me with this please.
Answer:
98 is the answer
Step-by-step explanation:
you add 8 each time
Answer:
a₁₃ = 98
Step-by-step explanation:
The nth 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 = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then
a₁₃ = 2 + (12 × 8) = 2 + 96 = 98
Thomas went for a long hike and burned 675 calories in 2 hours. Marvin decided to go for a bike ride and burned 1,035 calories in 3 hours. Who burned the most calories per hour? Let t represent Thomas's calories burned and m represent Marvin's calories burned. Equivalent Ratio 1: Equivalent Ratio 2: burned the most calories per hour.
Step-by-step explanation:
I am not sure I fully understand what your teacher wants from you, but I would say we only need to define the burning rate per hour for both people, and with that normed rate (number / hour) we can answer the main question directly.
Thomas burned 675 cal/ 2 hours.
by dividing to and bottom by 2 (it is important to do the same action on the top and the bottom to keep the value of the ratio unchanged) we get
337.5 cal / hour
and Marvin burned 1035 cal / 3 hours.
so, the same trick, this time dividing to and bottom by 3 to norm the whole ratio to a 1 hour baseline :
345 cal / hour
so, Marvin burned more calories per hour.
(4y¹²) (3y)
Please help me
A brick is in the shape of a rectangular prism with a length of 6 inches, a width of 3 inches, and a height of 5.5 inches. The brick has a density of 2.7 grams per cubic centimeter. Find the mass of the brick to the nearest gram.
pls pls pls help
y............. xnxnxnxnxnccncncncnnncncjcjnf
Find the length of U and V. Show work. Giving out brainliest answer.
Answer:
u =√6
v =√5
Step-by-step explanation:
u = √(1²+2²+1²) =√(1+4+1) = √6
v = √(1²+2²) =√(1+4) = √5
Answer the question
Answer:
1,041,958.5, or 104,195 1/2
Step-by-step explanation:
All you have to do is 15787.25 times 66, because 15787.25 is the price for on acre, so 66 acres will be 15787.25 times 66. If you want to put it in fraction form, you can do 15787 1/4 times 66. I hoped you liked this answer!
what is the perimeter
A) 20.3
B)18.3
C)24.3
D)22.3
Answer:
b
Step-by-step explanation:
cuz u add them all
please answer fast urgently
Answer:
{1,2,3,4,5,6}
.
.
.
.
1/3
correct answer
Answer:
1,2,3,4,5,6
1/3
the correct ans
50 points! please help!.
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-24}{25}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-24}{25}[/tex]
equating corresponding value
opposite=-24
hypoyenuse=25
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
25²=(-24)²+x²
625=576+x²
x²=625-576
x=49
x=[tex]\sqrt{49}=7[/tex]
In IV quadrant
Cos angle is positive
Cos[tex]\theta_{1}=\frac{adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{7}{25}[/tex]Answer:
cos theta = 7/25
Step-by-step explanation:
sin theta = opp / hyp
We can find the adj side by using the pythagorean theorem
adj ^2 + opp ^2 = hyp^2
adj^2 + (-24)^2 = 25^2
adj^2 +576 = 625
adj^2 =625 -576
adj^2 = 49
Taking the square root of each side
adj = 7
Since we are in the 4th quadrant, adj is positive
cos theta = adj / hyp
cos theta = 7/25
Which figures are polygons?
Answer: A,C,D
Step-by-step explanation:
Answer:
pretty sure it's a, c, and d
Step-by-step explanation:
polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.
What is the value of A when we rewrite (5/2)^x + (5/2)^x+3 as A x (5/2)^x?
A =
Answer:
A = 16.625
Step-by-step explanation:
Given :-
(5/2)^x + (5/2)^( x +3)To rewrite in :-
A. (5/2)^xAnswer :-
(5/2)^x + (5/2)^(x+3) (5/2)^x + (5/2)^x . (5/2)³ (5/2)^x { 1 + (5/2)³ }Hence :-
A = 1 + (5/2)³A = 1+ 125/8 A = 8 + 125/8 A = 133/8A = 16.625Five years from now peters age will be 2+3 times his current age Identify the equation represent the situation
Answer:
1.5 yrs
Step-by-step explanation:
let the present age=x
x+5=2+3x
3x-x=5-2
2x=3
x=3/2=1.5 years
Answer:
3x + 2 = x + 5.
Step-by-step explanation:
Peter is currently x years old. In 5 years, his age will be x + 5. According to the prompt, Peter's age will be 2 + 3 times his current age, x, which can be represented as 2 + 3x. 2 + 3x is the same age as x + 5, so we can represent it as...
2 + 3x = x + 5
3x - x = 5 - 2
2x = 3
x = 1.5
This means that Peter is 1.5 years old.
Hope this helps!
Step by step solution please
Answer:
I solved the question step by step in the pic, and I hope it helps
please answer this!!!
Answer:
A
Step-by-step explanation:
As the angles are equal, AB=BC, 16x-7=12x+1, 4x=8, x=2.
Express 60 as the product of its prime factors. Write the prime factors in accending order and give your answer in index form.
Answer:
Step-by-step explanation:
Prime numbers are basically numbers that don't have any factors that multiply to get that number except for 1 and the number itself. (For example: 2, 3, 5, 7, 11, 13 and so on are all prime numbers)
The question is asking to express 60 into prime numbers. 60 is 30*2, and since 2 is a prime number, we can circle it. Then we continue on with 30, which can divide into 15*2. Again, since 2 is a prime number, we circle it, while 15 can be factored further because 5*3 is 15. Since 5 and 3 are prime numbers, we circle them too. In the end, we have the prime numbers 5, 3, 2, and 2. There are two 2's in our factorization, so therefore we can simplify that to 2^2 since they ask for your answer in index form. There is only one 5 and one 3, and they ask to write them in asscending order, and so the answer would be (2^2)*3*5. Hope this helps!
Find the length of the side labels x round intermediate values to the nearest tenth
Answer:
x = 35.0
Step-by-step explanation:
the height is 26√3 since the left one is a 30-60-90 triangle
so to find x
cos(39) = x/26√3
or, x = 26√3×cos(39)
or, x = 35.0
Answered by GAUTHMATH
What is the measure of each intercepted arc for each inscribed angle of a regular hexagon inscribed in a circle?
Answer:
Step-by-step explanation:
The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.
PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER
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Explanation:
1/2 = 4/8 after multiplying top and bottom by 8
So the mixed number 7 1/2 is the same as 7 4/8
We can convert to an improper fraction like so
7 4/8
7 + 4/8
7*(8/8) + 4/8
56/8 + 4/8
(56+4)/8
60/8
Notice how dividing 60 over 8 leads to 7 remainder 4. Think of it like having 60 cookies and you want to share them amongst 8 friends. Each friend gets 7 whole cookies (7*8 = 56 taken so far) and then we have 60-56 = 4 left over as the remainder.
Through similar steps, you should find that the mixed number 1 7/8 converts to the improper fraction 15/8.
-----------------------------
To rephrase the problem with improper fractions would be to say:
"The electrician needs to buy 60/8 feet of wire. There are 15/8 feet of wire in each spool. How many spools should the electrician buy?"
Let x be the answer to that question.
We multiply the number of spools (x) by the amount of feet of wire per spool (15/8) to get the expression (15/8)x
Set this equal to the target 60/8 and solve for x
(15/8)x = 60/8
15x = 60 .... multiply both sides by 8 to clear out the fractions
x = 60/15
x = 4
The electrician needs to buy exactly 4 spools
-----------------------------
A different approach could have us convert each mixed number into decimal form
7 1/2 = 7 + 1/2 = 7 + 0.5 = 7.5
1 7/8 = 1 + 7/8 = 1 + 0.875 = 1.875
So the electrician needs to buy 7.5 ft total and each spool has 1.875 ft of wire.
Using the same idea as before, we would then have,
1.875x = 7.5
x = (7.5)/(1.875)
x = 4
SOMEBODY HELP ME GET IT RIGHT IM ALREADY FAILING :( pls its Pythagorean theorem
Answer:
a = 8.7
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2+5^2 = 10^2
a^2 +25 = 100
a^2 = 100-25
a^2 = 75
Taking the square root of each side
sqrt(a^2) =sqrt(75)
a =8.660254038
Rounding to the nearest tenth
a = 8.7
Given that 3=a+r/a-r,make r the subject of the formula?
i- dont know...sorry
In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply.
y = 0 x
y = x
y = x/0
y = 0/x
Answers:
choice A) y = 0x
choice D) y = 0/x
========================================================
Explanation:
Choice A is the same as y = 0 because 0x turns into 0. Multiplying 0 with any number always leads to 0.
Similarly, choice D is the same as y = 0 as well. Dividing 0 over any nonzero value leads to 0. Note the key term "nonzero" here. We cannot have 0 in the denominator. So x = 0 is not allowed for choice D.
So for any nonzero x, we have 0x and 0/x result in the same thing.
-----------
Extra info:
Choice B can be ruled out because something like x = 2 leads to y = 2.
Choice C is ruled out because we can never have 0 in the denominator.
1. Paulina wants to find the width, AB, of a river. She walks along the edge of the river 200 ft and marks point C. Then she walks 60 ft further and marks point D. She turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location, as shown. (a) Can Paulina conclude that ΔABC and ΔEDC are similar? Why or why not? (b) Suppose DE = 40 ft. Calculate the width of the river, AB. Show all your work and round answer to the nearest tenth. Answer
Answer:
Step-by-step explanation:
a). In ΔABC and ΔEDC,
Since, AB and DE are parallel and AE is a transversal,
Therefore, ∠CAB ≅ ∠CED [Alternate interior angles]
m∠D = m∠B = 90°
ΔABC ~ ΔEDC [By AA property of similarity of two triangles]
b). Therefore, by the property of similar triangles,
"Corresponding sides of two similar triangles are proportional"
[tex]\frac{DC}{BC}= \frac{DE}{AB}[/tex]
[tex]\frac{60}{200}=\frac{40}{AB}[/tex]
AB = [tex]\frac{40\times 200}{60}[/tex]
= 133.33
≈ 133.3 ft
enter the following in the cash book applying cgst and sgst at 6% each for all transactions relating to the sales and purchase of the products
pls pls pls pls pls help me
Answer:
10,000
Step-by-step explanation:
cuhcuhcuhcuhcuhcuhc
using trig to solve for the missing angle
Step-by-step explanation:
Since there is a 45 and 90 degree angle, this is a 45-45-90 triangle. The legs are equal in a 45-45-90 ttiangle. The hypotenuse sqr root of 2 times more than the legs. So this means the hypotenuse measure is
[tex]18 \sqrt{2} [/tex]
So we can set up a equation.
[tex] {18}^{2} + {x}^{2} = ({18 \sqrt{2}) }^{2} [/tex]
[tex]x = 18[/tex]
So the missing side is 18
Proof that :
[tex] {sin}^{2} \theta + {cos}^{2} \:\theta= 1[/tex]
Thx.
Answer:
Solution given:
Right angled triangle ABC is drawn where <C=[tex]\theta[/tex]
we know that
[tex]\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}[/tex]
[tex]\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC} [/tex]
Now
left hand side
[tex] \displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta[/tex]
Substituting value
[tex](\frac{AB}{AC})²+(\frac{BC}{AC})²[/tex]
distributing power
[tex]\frac{AB²}{AC²}+\frac{BC²}{AC²}[/tex]
Taking L.C.M
[tex]\displaystyle \frac{AB²+BC²}{AC²}[/tex]....[I]
In ∆ABC By using Pythagoras law we get
[tex]\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}[/tex]
AB²+BC²=AC²
Substituting value of AB²+BC² in equation [I]
we get
[tex]\displaystyle \frac{AC²}{AC²}[/tex]
=1
Right hand side
provedThe amount of money Aria has in the bank after T years is determined by the equation A = 1,000 · 1.0512^T. After how many years will Aria have $2,000 in the bank?
(1) 12.9 (2) 13.9
(3) 14.9
(4) 15.9
Answer:
Step-by-step explanation:
You are given most of the equation that you need to solve. To find the number of years it will take to have 2000, sub in 2000 for A and solve:
[tex]2000=1000(1.0512)^t[/tex] and begin by dividing away the 1000 on both sides to get
[tex]2=(1.0512)^t[/tex] now we have to take the natural log of both sides:
[tex]ln(2)=ln(1.0512)^t[/tex]. Taking the natural log allows us to bring the t down out front:
ln(2) = t ln(1.0512) and now divide both sides by ln(1.0512):
[tex]\frac{ln(2)}{ln(1.0512)}=t[/tex] and do this on your calculator to get
t = 13.9 years
Answer:
T = 13.9
Step-by-step explanation:
A = 1,000 · 1.0512^T
Let A = 2000
2000 = 1,000 · 1.0512^T
Divide each side by 1000
2000/1000 = 1,000/1000 · 1.0512^T
2 = 1.0512^T
Take the log of each side
log 2 = log 1.0512^T
We know log a^b = b log a
log 2 = T log 1.0512
Divide each side by log 1.0512
log 2 / log 1.0512 = T
T=13.88172
Rounding to the nearest tenth
T = 13.9
