Step-by-step explanation:
3x+2x+10=180
5x+10=180
5x=170
x=34
so the value of x is 34
The value of x is 34.
Here,
Angle 1 and angle 2 are supplementary.
And, angle 1 measures 3x and angle 2 measures 2x + 10.
We have to find the value of x.
What is Supplementary angle?
Supplementary angles are those angles that sum up to 180 degrees.
Now,
Angle 1 and angle 2 are supplementary.
⇒ ∠1 + ∠2 = 180°
And, angle 1 measures 3x and angle 2 measures 2x + 10.
⇒ 3x + 2x + 10 = 180
⇒ 5x + 10 = 180
⇒ 5x = 170
⇒ x = 34
Hence, The value of x is 34.
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The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $460 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $7 per day for each additional passenger. Assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20. (a) Find a function R giving the revenue per day realized from the charter. R(x)
Answer:
R(x) = (460 * 7x)*(20+ x)
Step-by-step explanation:
If exactly 20 people sign up :
Charge per person = $460
For passengers after 20:
At number of passengers = 20 ;
Cost = (fee * discount * number of additional passesengers) * (20 + Number of additional passengers
Let number of additional passengers after 20 = x
R(x) = ($460 * $7x) * (20 + x)
Hence,
R(x) = (460 * 7x)*(20+ x)
la tercera parte de la suma entre un numero y 5 es 4
Me ayudan?
Respuesta:
si lo que estás buscando es "el número", la respuesta es es "7"
Explicación paso a paso:
si nos dice que la tercera parte de una cifra es "4" debemos hacer lo siguiente:
4*3=12 (para sacar el resultado de la suma)
verificamos diviendo 12 entre su tercera parte: 12 entre 3=4
a 12 le restamos 5 para sacar el número que necesita la suma 12-5=7
entonces la tercera parte de la suma entre 7+5 ó bien 12, es 4
7+5=12 12 entre 3=4
Which of the following multiplication problems has a product that is less than 3/8? Select three that are correct.
A) 3/8 x 1/2
B) 3/8 x 2/5
C) 3/8 x 3/2
D) 3/8 x 3/3
E) 3/8 x 3/8
F) 3/8 x 8/7
Answer:
... no
Step-by-step explanation:
can u pls fix the grammer in this Choose the correct punctuation marks in the passage.
It was a rainy day
but Joan and I had planned a trip. Joan wanted to go to the beach for a swim. I wasn't sure if we should go.
"I think we should wait a little longer
at least until the rain shows some signs of slowing down," I suggested.
"We can't swim without getting wet anyway," replied Joan, questioning my choice of swimsuit
the one my mom had bought at a secondhand store.
Answer:
It was a rainy day , but Joan and I had planned a trip. Joan wanted to go to the beach for a swim. I wasn't sure if we should go.
"I think we should wait a little longer , at least until the rain shows some signs of slowing down," I suggested.
"We can't swim without getting wet anyway," replied Joan, questioning my choice of swimsuit , the one my mom had bought at a secondhand store.
Step-by-step explanation:
find the area of a triangle with a base and height of 1/3 and 1/4
Answer: 1/12
Step-by-step explanation:
Multiply 1/3 by 1/4. Or just multiply 3 by 4.
3 x 4 = 12
Therefore, the answer is 1/12.
It took Darlene 5 weeks to write 15 chapters of a book. How many weeks did it take to write 6 chapters?
Answer:
2
Step-by-step explanation:
5 weeks divded by 15 chapters times 6 chapters = 2 weeks
Which of the following points below represents (- 2, - (5pi)/4) the polar grid?
Answer:
Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:
r = √(x^2 + y^2)
θ = Atg(Iy/xI) + 90°*(n - 1)
where n is number of the quadrant where our point is.
For example, if we are on the second quadrant, we use n = 2.
Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:
x = r*cos(θ)
y = r*sin(θ)
Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:
x = -2
y = -(5*pi)/4
Using the first relation, we can find that:
r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4
(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)
θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°
Then the point that represents (- 2, - (5pi)/4) in polar coordinates is the point:
(4.4, 262.7°)
If instead of degrees, the angle part is written in radians, we have:
180° = 3.14 radians.
262.7° = x radians.
then:
x/3.14 = (262.7)/180
x = 3.14*(262.7)/180 = 4.58 radians.
then the point will be:
(4.4, 4.58 radians)
Given that the function g is defined by the rule g(x)=3-2x,determine the following
g(a)=
Answer:
The value of g(a) is:
g(a) = 3 - 2aStep-by-step explanation:
Given
As the function g(x) is given by
[tex]g(x)=3-2x[/tex]
To determine
g(a) = ?
In order to determine g(a),
substitute x = a in the function g(x) = 3 - 2x
g(x) = 3 - 2x
g(a) = 3 - 2(a)
g(a) = 3 - 2a
Therefore, the value of g(a) is:
g(a) = 3 - 2aThe price of a computer is reduced by 17.5%. The reduced price is £264 by how much is the price reduced
Answer:
Step-by-step explanation:
100%-17.5%= 82.5%
82.5% (divide) 82.5%= 1%
so (1% of the orginal price)=
£264 (divide) 82.5%= £320= original price
The price of the computer is reduced by £56 which is 17.5% of £320.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The price of a computer is reduced by 17.5% and the reduced price is £264.
Let the original price be '£x'.
So, (100 - 17.5)% = 82.5% of '£x' is £264.
∴ (82.5/100)×x = 264.
0.825x = 264.
x = 264/0.825.
x = £320.
So, The price reduced is (320 - 264) = £56.
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For t=2, 13t-2t is equal to 22 and 2t - 13t is equal to ??
Answer:
[tex]2(2) - 13(2) \\ 4 - 26 \\ = - 22[/tex]
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored. How many of the cupcakes sold that day were chocolate flavored?
Answer:
66 are chocolate. 120x1.45 66
The number of cupcakes sold that day was chocolate flavored will be 54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored.
Then the number of cupcakes sold that day were chocolate flavored will be
Let x be the number of the cupcakes sold that day that was chocolate flavored.
x = 45% of 120
x = 0.45 × 120
x = 54
Thus, the number of cupcakes sold that day was chocolate flavored will be 54.
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the bases of a trapezoid are 8 and 6 inches it's height is 5 inches what is the area of the trapezoid?
Answer:
35 in^2
Step-by-step explanation:
The area of a trapezoid is the average of the bases times the height.
Base 1: 8, Base 2: 6, Height: 5
(8 + 6)/2 = 7
7 * 5 = 35 in^2
A frame around a family portrait has a perimeter of 94 inches. The length of the frame is 7 inches less than twice the width. Find the length and width of the frame.
Step-by-step explanation:
Let l be the length and w be the width of the frame.
We have 2(l + w) = 94 and l = 2w - 7.
Therefore 2[(2w - 7) + w] = 94.
=> 3w - 7 = 47
=> 3w = 54
=> w = 18
l = 2(18) - 7 = 36 - 7 = 29
Hence the length of the frame is 29in and the width of the frame is 18in.
quickly please im very confused
Answer:
A: -16/3
B: 16/3
C: -6
D: -6
E: 6
Step-by-step explanation:
A would be -16/3 because you multiply -2 time 8 which is 116. And the denominator is 3.
B would be 16/3. It is the same as problem A but there are two negatives which make positive.
C is -6. You just divide -18/3.
D is the exact same as C. It just has parenthesis but the answer is still -6.
E is 6 because there are two negatives which make a positive.
A bottle contains 24.5 oz of water. A leak in the bottle causes it to lose 0.3 oz of water every minute. How many minutes does it take for the bottle to lose 33% of the water.
Answer:
27 minutes
Step-by-step explanation:
33% of 24.5 is 8.1 ounces
.3 oz / 1 min = 8.1 oz / 'x' min
cross-multiply:
.3x = 8.1
x = 8.1 / .3
x = 27
A system of linear equations is graphed below
Which coordinate point represents the solution?
A : (2, 2)
B : (0 , 40)
C : (40 , 0)
D : (20 , 20)
Answer: D
Step-by-step explanation: 20,20
The local appliance store is advertising a 17% off sale on a new flat-scree TV. If the sale price is $664, what was the original price of the flat-screen TV?
Answer:
the original price = $800
Step-by-step explanation:
To find the fraction of the original price, subtract 0.17 from 1.00, obtaining 0.83. Then 0.83n = $664 yields n = the original price = $800
PLS HELP!! FIND X AND Y
Answer:
x=110
y=70
Step-by-step explanation:
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Ivan is making brownies from a boxed mix. He wants to combine 2 boxes. 1 box calls for ½ of a cup of water. The other calls for ⅓ of a cup of water. How much water will Ivan need to make brownies from both boxes?
Answer:1/56
Step-by-step explanation:
2. Select all of the numbers that Courtney could multiply by 72,033 to get a product LESS than 72,033 (2 Points)
A. 1 and 3/4
B.718
C.2
D. 1/6
E. 12/8
Answer:
Step-by-step explanation:
It's not A since that means 1 3/4 or 7/4. That isn't a possible answer since 7/4 is greater than 1.
B: not the answer. You'll make 72000 almost 1000 times bigger if you use B.
C: same reason as B. Anything over 1 will make 72033 larger, not smaller
E: 12/8 > 1. It can't work.
The answer is d . Try it on your calculator. Anything between 0 and 1 make make any number smaller. (include zero, don't include 1).
what would be yearly earnings for a person with $6000 in savings at an annual interest rate of 2.0%
Make a visual model to show the number pattern for 5, 10, 15, 20, 25?
Answer:
It would be like counting up fives
Step-by-step explanation:
Answer:
It would be going up by 5 every time.
brainliest pls
Step-by-step explanation:
round two decimal places −1.47213595
Answer:
I believe that would be -1.47
Step-by-step explanation:
Can you guys help me out ps hurry im timed
Answer:
If it's supposed to have no solution, I think you can just use an extreme number, like -30 or something.
HELPP MEE
Write an equation to express y in terms of x.
Answer:
y = -¼x
Step-by-step explanation:
If you plot the points (32,-8), (24,-6), and (16,-4), you'll see that they are collinear.
(3x^2-8+3X)-(10+2x^2-2X)
Answer: x^2+5x-18
Step-by-step explanation:
Need help asap will give brainliest
Answer:
option a is not correct there are only 2 points
Answer:
option a ...............
Determine the domain of the following graph:
if 8 equals 40 grams how much is 64 grams
Answer:
320 grams
Step-by-step explanation:
First you find out how much 1 bat ate
40 divided by 8 = 5
So each bat ate 5 insects
Multiply 5 by the 64 bats
64 * 5 = 320
Which expression is equivalent to 4 square root
Of x^10
A is the answer to this question
