550 visitors paid for admission to Hope State Park during one week. Of those 550 visitors, 3/5 of them purchased guide books. How many visitors purchased guide books?
Answer:
the number of visitors purchased guide books is 330 visitors
Step-by-step explanation:
The computation of the number of visitors purchased guide books is shown below;
= Number of visitors × visitors purchased guide books
= 550 × 3 ÷ 5
= 330
Hence, the number of visitors purchased guide books is 330 visitors
What is 0.85 divided by 0.0527?
Answer:
16.1290322581
.........
Use slope to determine whether the lines AB and CD are parallel, perpendicular, neither, or the same line for the points: A (3,5), B(−2,7), C(10,5), D(6,15)
Answer: your answer would be A
Step-by-step explanation:
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
slope of AB x slope of CD = 1
The lines are on the same line.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A (3,5), B(−2,7), C(10,5), D(6,15).
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
The line AB.
Slope = (7 - 5) / (-2 - 3) = 2 / -5 = -2/5
The line CD.
Slope = (15 - 5) / (6 - 10) = 10 / -4 = -5/2
Now,
slope of AB x slope of CD.
= -2/5 x -5/2
= 1
This means,
The lines are on the same line.
Thus,
slope of AB x slope of CD = 1
The lines are on the same line.
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what is the slope of the shown below?
6.)
ear.
Last week, Jack sold x number of hot dogs at the
football game. This week he sold twice as many as
last week, and then he sold 10 more. Write an
expression to show how many hot dogs Jack sold
this week.
Answer:
2x+10
Step-by-step explanation:
Hi there!
To represent last weeks sale, you would have f=x
x= the number of hot dogs he sold last week
Now, to get the expression of this week, you know that he sold TWICE as many as last week, and we know that x represents last week's sale, so you would get 2x.
2 represents twice the sales of the last week, and x represents last week's sales.
But then you also know that he sold 10 more. So he sold twice as many as last week's hot dogs but he also sold 10 more. That's where you get 2x+10
Again, 2x represents twice as many sales this week and the 10 is the 10 more hot dogs he sold.
Really hope this helps!
An expression for hot dogs Jack sold this week is 2x+10.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
To represent last week's sale, you would have f=x
x= the number of hot dogs he sold last week
Now, to get the expression of this week, you know that he sold TWICE as many as last week, and we know that x represents last week's sale, so you would get 2x.
2 represents twice the sales of the last week, and x represents last week's sales.
But then you also know that he sold 10 more. So he sold twice as many as last week's hot dogs but he also sold 10 more. That's where you get 2x+10
Therefore, the expression for hot dogs Jack sold this week is 2x+10.
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Can someone help me with Geometry?
Answer:
6x + 2 is your answer I THINK
2x+7=3(x-4) type out your steps
Answer:
x=19
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+7=3(x−4)
2x+7=3(x−4)
2x+7=(3)(x)+(3)(−4)(Distribute)
2x+7=3x+−12
2x+7=3x−12
Step 2: Subtract 3x from both sides.
2x+7−3x=3x−12−3x
−x+7=−12
Step 3: Subtract 7 from both sides.
−x+7−7=−12−7
−x=−19
x=19
Please help me in this! I need to submit it fast.
Answer:
y=3.5x
Step-by-step explanation:
Since when x is 0 when y is 0, there is no y-intercept. The ratio with the other values gives the equation y=3.5x, because y is 3.5 times larger than x.
The number of DVD's sold at Fry's Electronics in a month was 920 and the number of DVD's sold decreased by 12 per month. The number of Blu-ray discs sold at Fry's Electronics in the same month was 502 and the number of Blu-ray discs sold increased by 26 per month. Write a system of equations to model th situation. If this trend continues, in how many months will the number of DVD's sold each month equal the number of Blu-ray discs sold each month? How many each disc is sold in that month?
Answer:
11 months
788 disc
Step-by-step explanation:
Let
x = number of months
Fry's Electronics;
= 920 - 12x
Blu-ray discs:
= 502 + 26x
Equate both equations
920 - 12x = 502 + 26x
920 - 502 = 26x + 12x
418 = 38x
x = 418/38
x = 11 months
number of months = 11
Substitute 11 into any of the equation
Fry's Electronics;
= 920 - 12x
= 920 - 12(11)
= 920 - 132
= 788 disc sold in that months
please help pls pls pls
Use the drop-down boxes to show a function in the form y = mx + b for the line that contains the points (-6.4, -2.6) and (5.2, 9).
Help! Need by 10:30 to turn in and I'm confused!
When Anthony contracted the flu, he needed tissues and cough drops. Each box of tissues cost $1.69 and each bag of cough drops cost $1.19. By the time he was well again, he had gone through a combined 13 boxes of tissues and bags of cough drops, and he had spent $19.47. How many boxes of tissues did he use? How many bags of cough drops?
Answer:
8 boxes of tissues
5 bags of cough drops
Step-by-step explanation:
You need to write a system of equations.
x = number of tissue boxes
y = number of cough drop bags
x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.
So, your first equation is
x + y = 13
Then, you need to write the second equation.
(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]
That's a lot to read, so here's the equation simplified!
1.69x + 1.19y = 19.47
Now, you have two equations:
x + y = 13
1.69x + 1.19y = 19.47
I would solve with the substitution method.
the first equation can be changed to x = 13 - y by subtracting y from both sides.
Then, your two equations are:
x = 13 - y
1.69x + 1.19y = 19.47
Now, you can plug in that value of x into the second equation!
1.69(13 - y) + 1.19y = 19.47
21.97 - 1.69y + 1.19y = 19.47
subtract 21.97 from both sides
-1.69y + 1.19y = -2.5
Add the y values
-0.5y = -2.5
divide both sides by -0.5
so, y equals 5 bags of cough drops
now that you know what y equals, plug it back into your original equation to find x!
x + y = 13
plug in y
x + 5 = 13
x = 8
so, x = 8 boxes of tissues
Hope this helps! Let me know if you have any questions!
Someone tell me is this 1/5
Answer:
4/15
Step-by-step explanation:
3/5-1/3
9-5/15
=4/15
I ain't really sure
Can someone help me with this please?
Given that slope = -1 and a point (3,-1), write an equation in slope-intercept form of the line?
Answer:
Step-by-step explanation:
point-slope equation of the line: y+1 = -(x-3)
rearrange to solve for y:
y+1 = -x+3
y = -x + 2 slope-intercept form
Answer:
y = -x + 2
Step-by-step explanation:
We are given that a line has a slope of -1 and passes through the point (3, -1)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
As we are already given the slope, we can immediately plug its value into y=mx+b.
Replace m with -1 in y=mx+b.
y = -x + b (there's no need to write -1 in front of x. If -1 is the coefficient in front of a variable, just writing a minus sign in front of the variable is enough).
Now we need to find b.
As the equation passes through the point (3, -1), we can use it to help solve for b.
Substitute 3 as x and -1 as y.
-1 = -3 + b
Add 3 to both sides
2 = b
Substitute 2 as b in the equation so far.
y = -x + 2
Topic: finding the equation of the line (in slope-intercept form).
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Sandra was 13 years old on her last birthday, and she will be 15 years old on her next birthday. How is that possible
Answer:
on her last bday she was 13, this year she will be turning 14. then next year she would be turning 15 years old.
Step-by-step explanation:
Work out the value of
10000^-1/2
Answer:
0.00005
Step-by-step explanation:
Answer:
0.01
.......................
help asap pleasee!!!
please help
A second-grade student is 4 feet tall. Her teacher is 5 ⅔ feet tall.
What fraction of the teacher’s height is the student’s height?
Answer:
Step-by-step explanation:
(5⅔)/4 = (17/3)/4 = 17/12
Please , I’m so bad at math help on how to find the answers would be nice
Answer:
2nd one is 4.48
Step-by-step explanation:
Multiply (4x - 3)(5x + 2) using the area model.
Answer:
[tex]20x^{2}[/tex]-7x-6
Step-by-step explanation:
hi please help i’ll give brainliest if you give a correct answer
Answer:
A): 22/5 = 4 2/5 in mixed fraction. 22/5 = 4.4 in decimal. B): 0.875
Step-by-step explanation:
Since you can't divide 7/8 it will turn into decimal. If you use calculator, it will be decimal. Basically in order to do long division, you would need to drop down zeros like add zeros if the divisor and dividend don't equal. You keep adding zeros until it's equal. IF it is more likely to be continuous, then you would need to add a repetend on the last digit. For example, 3/1 you can know it would be 1.333333 and so on. Example of how to do it:
can someone please help:)? I will appreciate it
Answer:
y = 6
Step-by-step explanation:
.
HFC of 198 and 78 hcf
Answer:
the answer is 6
.......
can someone help me
Answer:
6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
So we know that:
5x-10 = 20
5x=20+10
5x=30
x=6
hope this helps :)
The graphs below have the same shape. What is the equation of the red graph?
g(x)= ?
f(x) = x2
g(x) =
A g(x) = x - 2
B. (X) = (x - 2)2
O c. lx) = 8+2
D. g(x) = (x + 2)2
Answer:
C is the answer
Step-by-step explanation:
The equation of the red graph is [tex]x^{2} +2[/tex].
What is the equation of parabola whose vertex is (h, k)?The equation of the parabola whose vertex is (h, k) is
[tex]y = a(x-h)^{2} + k[/tex]
According to the given question.
We have a graph for the function f(x) and g(x).
[tex]f(x) =x^{2}[/tex]..(i)
⇒ the equation of parabola whose vertex is (0, 0)
Since, we know the standard form of the equation of parabola is
[tex]y = a(x-h)^{2} +k[/tex]
Substitute h = 0 and k = 0 in the above equation.
⇒ [tex]y = a(x-0)^{2} +0[/tex]
⇒ [tex]y = ax^{2}[/tex]..(ii) (where, y = f(x))
On comparing the first two equations we get a = 1.
From the graph we can see that g(x) is a equation of parabola, whose vertex is (0, 2).
Therefore, the equation for red graph is given by
[tex]g(x) =a(x-0)^{2} + 2[/tex]
[tex]g(x) = 1x^{2} +2[/tex] (because a = 1)
⇒ [tex]g(x) = x^{2} +2[/tex]
Hence, option c is correct.
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Write an exponential function in the form y=ab^x that goes through points (0,7) and
(9, 3584).
Answer:y=7(2)^x
Step-by-step explanation:
The exponential function in the form y=ab^x that goes through the given points is f(x) = 7(2)ˣ.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
The general form of exponential function is,
f(x) = abˣ
The function passes through (0,7) and (9, 3584).
Substituting (0, 7),
7 = a b⁰
7 = a (since b⁰ = 1)
So, a = 7
Function is f(x) = 7bˣ
Now Substituting (9, 3584),
3584 = 7 b⁹
b⁹ = 3584 / 7
b⁹ = 512
b⁹ = 2⁹
b = 2
So the function is f(x) = 7(2)ˣ
Hence the function is f(x) = 7(2)ˣ.
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-48 -(-6) +-45 what is the answer?
Answer:
-87Step-by-step explanation:
−48−(−6)−45
=−42−45
=−87
Answer:
-87
Step-by-step explanation:
A teacher Ask for students To write three side lengths that will not make a triangle and describe why.
Answer:
2, 5, 9
Step-by-step explanation:
The two shorter sides added together must be longer than the third side or they cannot make a triangle.
Brainly is a knowledge-sharing community where 350 million students and experts put their heads together to crack their toughest homework questions.
Answer:
but many of them comes here to do time pass
Solve for x in the partial spiral below.
Answer:
[tex] x = \sqrt 5[/tex]
Step-by-step explanation:
On solving by Pythagoras theorem:
(Going in counterclockwise direction)
For bottom most triangle :
Length of Hypotenuse [tex] = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2[/tex]
The for second triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3[/tex]
The for third triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2[/tex]
The for fourth triangle :
x [tex] = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 [/tex]
The x value for the given partial spiral is √5 units.
We need to solve for x in the partial spiral given.
What is Pythagora's theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the right triangle 1:
Let the hypotenuse be a.
So, a²=1²+1²
⇒a=√2
From the right triangle 2:
Let the hypotenuse be b.
So, b²=(√2)²+1²
⇒b=√3
From the right triangle 3:
Let the hypotenuse be c.
So, c²=(√3)²+1²
⇒b=√4=2
From the right triangle 2:
The hypotenuse=x
So, x²=2²+1²
⇒x=√5
Therefore, the x value for the given partial spiral is √5 units.
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