Answer:
9
Step-by-step explanation:
Just like finding the GCD.
Answer:
The common factor of 99 and 36 is 9!
Step-by-step explanation:
If 4 quarts of organic grapes cost $20 how many quarts can you purchase for one dollar
Answer:
4/5 of a quart
Step-by-step explanation:
Set this up as a proportion. First of all we know that 4 quarts of organic grapes cost $20, so 4x = 20. Divide and you get that x = 5 meaning 1 quart equals 5 dollars. Now if we scale this down a bit and divide by 5, we end up with 4/5 of a quart = 1$.
Hope this helped (:
Your boss calls you and explains that your first visit is to the Barclays Center Stadium. Your boss says the Barclay center is approximately 670,760 square feet, she wants to create a rectangular shaped figure.
- The length of the Barclays Center is 819 feet and the width is 818 feet. However, you are going to use a scale of 1 inch = 100.50 feet. Find the area of the scale drawing.
Answer:
66.341 Feet
Step-by-step explanation:
length 819
width 818
(Length x width)
divide both by 100.5
819/100.5
818/100.5
8.14925373134
8.13930348259
round
8.15
8.14
length times width
8.15*8.14
66.341
PLEASE HELP, I WILL GIVE BRAINLIEST IF ITS RIGHT :)
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
2.
(03.05 HC)
The table below represents the distance of a train from its destination as a function of time:
Time
(hours)
x Distance
(miles)
y
0 665
1 570
2 475
3 380
4 285
Part A: What is the y-intercept of the function, and what does this tell you about the train? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points)
Part C: What would be the domain of the function if the train continued to travel at this rate until it reached its destination? (2 points)
(10 points)
3.
(03.06 MC)
Part A: Billy rented a canoe at $14 for 2 hours. If he rents the same canoe for 5 hours, he has to pay a total rent of $29.
Write an equation in the standard form to represent the total rent (y) that Billy has to pay for renting the canoe for x hours. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
9514 1404 393
Answer:
(a) Function f is a proportion, so its slope is y/x = 3. The slope of function g is the x-coefficient, 7. The slope of function g is greater. (b) A proportion has a y-intercept of 0; function g has a y-intercept of 2. The y-intercept of function g is greater.(a) The y-intercept is 665, the initial distance to destination. (b) The train's distance to destination is decreasing at 95 miles per hour. (c) The useful domain of the relation is 0 ≤ x ≤ 7.(a) Standard form equation: 5x -y = -4. (We expect that "slope-intercept" form is desired: y=5x+4.) (b) f(x) = 5x +4. (c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5. Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical). Axes can be numbered in units appropriate to the size of the graph.Step-by-step explanation:
1. (a) The table contains the point (0, 0), and is said to represent a linear function. Consequently, we know that function f is a proportion. Its slope is ...
y/x = 3/1 = 3.
The slope of function g is the x-coefficient, 7. Since 7 > 3, the slope of function g is greater.
(b) As we said, function f has a y-intercept of 0. The y-intercept of function g is the constant in its equation, 2. Since 2 > 0, the y-intercept of function g is greater.
__
2. (a) The y-intercept is the value when x=0, which is 665. That is the train's initial distance to destination.
(b) The average rate of change from x = 1 to x = 4 is ...
m = (285 -570)/(4 -1) = -285/3 = -95 . . . . miles per hour
The train's distance to destination is decreasing at 95 miles per hour.
(c) From part B, we know the train covers 285 miles in 3 hours, so the time to destination will be 3 hours more than 4 hours. (Distance is 285 miles at 4 hours.) The useful domain of the relation is 0 ≤ x ≤ 7.
__
3. We can write the standard form equation using the relation ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(29 -14)(x -2) -(5 -2)(y -14) = 0 . . . . . fill in the given points: (2, 14), (5, 29)
15x -30 -3y +42 = 0 . . . . simpify
5x -y = -4 . . . . . divide by 3 and subtract 4
(We wonder if "slope-intercept" form is desired: y=5x+4.)
(b) The above equation can be solved for y (by adding y+4), and "y" replaced by "f(x)". The result is the "functional form" ...
f(x) = 5x +4
(c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5.
Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical).
Axes can be numbered in units appropriate to the size of the graph. (That will depend on the graph paper or tool used to create the graph.) An example of a graph is attached.
a cylindrical can needs to have a volume of 6 cubic inches a label is to go around the side of the can. The function S(r)=12/r gives the area of the label in square inches where r is the radius of the can in inches
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attachment.
Cylinder volume V= 6 Cubes - inch
The Formula:
[tex]\to V=\pi r^2 h= 6[/tex]
The (r and h ) is the radius and height of the cylinder and [tex]s(r)= \frac{12}{r}[/tex]represent the region of the mark in this r and h, and that is why as can's radius gets bigger and larger, the label area gets closer to 0.
Answer:
A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the
side of the can. The function gives the area of the label in square inches
where is the radius of the can in inches
Step-by-step explanation:
Alecia earned 48 points on the first quiz and 45 points on the second quiz. What's the percent decrease in her quiz score ?
Answer:
is the 48 and 45 points out of 100?
Answer:
93%is the answer to this question its 93% percent (tell me if its wrong)
The mean monthly gasoline bill for one household is greater than $120. If a hypothesis test is performed, how should you interpret a decision that reject the null hypothesis
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the equation for the given question, for enough evidence to substantiate the assertion:
[tex]\mu > \ \$ \ 120[/tex]
What is the following quotient?
Answer: Choice C) [tex]2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]
====================================
Work Shown:
Part 1
[tex]\frac{2-\sqrt{8}}{4+\sqrt{12}}\\\\\\\frac{(2-\sqrt{8})(4-\sqrt{12})}{(4+\sqrt{12})(4-\sqrt{12})}\\\\\\\frac{2(4-\sqrt{12})-\sqrt{8}(4-\sqrt{12})}{(4)^2-(\sqrt{12})^2}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8}*\sqrt{12}}{16-12}\\\\\\\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{8*12}}{4}\\\\\\[/tex]
Part 2
[tex]\frac{8-2\sqrt{12}-4\sqrt{8}+\sqrt{96}}{4}\\\\\\\frac{8-2\sqrt{4*3}-4\sqrt{4*2}+\sqrt{16*6}}{4}\\\\\\\frac{8-2\sqrt{4}*\sqrt{3}-4\sqrt{4}*\sqrt{2}+\sqrt{16}*\sqrt{6}}{4}\\\\\\\frac{8-2*2*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\[/tex]
Part 3
[tex]\frac{8-4*\sqrt{3}-8*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4*2-4*1*\sqrt{3}-4*2*\sqrt{2}+4*\sqrt{6}}{4}\\\\\\\frac{4(2-\sqrt{3}-2\sqrt{2}+\sqrt{6})}{4}\\\\\\2-\sqrt{3}-2\sqrt{2}+\sqrt{6}\\\\\\[/tex]
This shows the answer is choice C.
----------------------------------------------
Explanation:
There are a lot of steps, so I broke things up into 3 sections or parts. The idea I'm applying is if the denominator is of the form [tex]a+\sqrt{b}[/tex], then multiplying top and bottom by [tex]a-\sqrt{b}[/tex] will rationalize the denominator. This is due to the difference of squares rule (step 3 of part 1). The following step shows squaring a square root has the two cancel out.
From that point, I simplified each square root and factored to cancel out a pair of '4's.
To expand out [tex](2-\sqrt{8})(4-\sqrt{12})[/tex], we can use either the FOIL method, the box method, or the distribution property. I used the distribution property.
Helppppppppppppppppppppppppppppppp
Answer:
Number.2 is correct you can write it
whats 4 x 1/8 in simplest form
Answer:
The simplest form of 48 is 12.
Step-by-step explanation:
hope that helps :)
The simplest form of the expression 4 x 1/8 will be 1 / 2.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that there are two numbers 4 and 1 / 8 multiplied by each other.
The solution of the expression 4 x 1/8 will be:-
E = 4 x ( 1 / 8 )
E = 4 / 8
E = 1 / 2
Therefore, the simplest form of the expression 4 x 1/8 will be 1 / 2.
To know more about an expression follow
brainly.com/question/9345229
#SPJ5
Figure ABCD is a kite. Find the
value of x.
Answer:
x=5
Step-by-step explanation:
in order for this figure to truly be a kite, AD and AB have to be equal.
So:
4x=x+15
now we must solve the equation:
3x=15
x=5
The value of x for the expression of the sides will be x=5.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that the sides of the given shape of the kites are AB = 4x and AD = x +15. Since the sides are equal the value of x will be calculated as,
In order for this figure to truly be a kite, AD and AB have to be equal.
4x=x+15
Now we must solve the equation:
3x=15
x=5
Hence, the value of x will be 5.
To know more about geometry follow
https://brainly.com/question/29208062
#SPJ2
A brainliest will be rewarded to the best answer!
Which expression has a value of 11?
A. 13 - 5 - 3
B. 1 + (8 x 2)
C. 5 + 2 x (4 - 1)
D. 15 - 1 + (6 ÷ 2)
Answer:
C. 5 + 2 x (4 - 1)
Step-by-step explanation:
5 + 2 x (4 - 1)
*following order of operations*
5 + 2 * 3
5 + 6
= 11
How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12
Answer:
One solution
Step-by-step explanation:
x - 4y = 6
-4y = 6 - x
-4y/-4 = 6/-4 -x/-4
y = -6/4 + -x/4
2x − 8y = 12
-8y = 12 - 2x
-8y/-8 = 12/-8 - 2x/-8
y = -12/8 + 2x/8
Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.
As shown below, it has only one solution.
Higher Order Thinking Raul wants to put wood shavings in his rabbit’s cage. The floor of the cage measures 1 yard wide by 5 feet long. One bag of shavings covers 10 square feet.
How many bags will Raul have to buy to cover the floor of the cage? Explain
Answer:
2
Step-by-step explanation:
3x5=15
Today, everything at a store is on sale. The store offers a 30% discount. The sale price of a hat is $21.00. What
is the regular price?
Answer:
70
Step-by-step explanation:
Because 2100 divided by 30 is 70 I hope this is the answer :)
Which ratio is equivalent to the ratio 13:15
Answer:
26:30
Step-by-step explanation:
Select all the expressions which are equivalent to three times the sum of six and five.
A. 3 × 6 + 5
B. 3(6 + 5)
C. 3 × 5 + 6
D. (6 + 5) + (6 + 5) + (6 + 5)
E. 3 + (5 × 6)
Answer:
Step-by-step explanation:
T
Answer:
D. (6+5)+(6+5)+6+5)
Step-by-step explanation:
i am. sure that D. is answer because it is repited three. times
please help with this question i have 1 hour to finish this test
Answer:
29
Step-by-step explanation:
2x - 14 = x + 15
2x - x = 15 + 14
x = 29
check
44 = 44
Answer:
pretty sure it's 29
Step-by-step explanation:
equation: 2x-14=x+15
how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.
I might be wrong tho.
A _____ equation is an equation whose graph is a straight line. answer for me please! worth 15 points!!!
Answer:
Linear function
Step-by-step explanation:
Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5 C. f(x) = \frac{4}{x} - 3f(x)= x 4 −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3 D. f(x) = \frac{x}{8} + 3f(x)= 8 x +3 and g(x) = 8x – 3
Answer:
the answer is B
Step-by-step explanation:
please helloppppppppp
90°+32°=X ( exterior < of a ∆)
90°+32°=X ( exterior < of a ∆) 122°=X
90°+32°=X ( exterior < of a ∆) 122°=XTherefore, X= 122°
What number makes the equation true? Enter the answer in the box. 4= 36 - N
Answer:
as i see
the answer is 32.....
b. A car factory makes 2 red cars for every
7 white cars. If it makes 483 white cars,
how many red cars did it make?
HELP ME
Divide the number of white cars made by it's ratio:
483/7 = 69
Multiply that by the ratio of red cars:
69 x 2 = 138
They made 138 red cars.
micah was giving $200 for his birthday each week he spends 15$ on comic book. in how many weeks will his birthday money be gone?
Micahs money will be gone within about 13 weeks. He will, however, still have $5 left over.
2 doctors is ____% of 25 doctors what do I put in the blank and 9 stores is 3% of ____ stores ?
no trolls i need help asap please!!!
Answer:
These triangles cannot be proven congruent
Step-by-step explanation:
The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.
These mean that the two triangles have the same shape and we can conclude that they are similar to each other.
However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.
Therefore, the triangles given above cannot be proven congruent.
Q14)
Points A, B and C lie on the circumference of a circle and DE is the
tangent to the circle at A. Angle DAB = 79º and angle EAC = 37º.
2
Find the sizes of angles x and y.
Not to scale
Give a reason for your answers.
B
7
[Total 3
790
1370
E
A
Answer:
x = 37
y = 79
Step-by-step explanation:
Remark
We are going to go through an extensive discussion of the value of x. The value for y is found exactly the same way.
Top diagram.
The top diagram establishes the fact that if any two points are on the major arc of the circle whose center is 0, then the vertex of the of the two angles so formed are equal. The end points of these two angles must be established by the endpoints of the chord A and B.
Put in much simpler language.
<ACB = <AC'B
The end points of the angles are A and B of the Chord AB.
The Vertex of the angles are both on the major arc of the circle. These two are C and C'
Bottom Diagram
The idea here is to find the value of C. If we do that, then we know what x is in the diagram you provided.
Draw diameter COA Construction
< CAB = 90 Any vertex (C) on circumference with diameter endpoints (A & C) = 90
<CAT_1 = 90 A diameter always meets a tangent at 90o
<BAT_1 = 37 Given
<CAB = 90-37 <CAB and <BAT_1 are complementary
<ACB = 37 A right triangle's acute angles are complementary.
<ACB = x = 37o See top diagram
For a summer reading program, you are asked to read 3 books from a list of 8 book. how many different groups of 3 books can you read?
need the answer please thank you!
Answer:
Step-by-step explanation:
The total number of marbles is 17
Red
6/17 is the answer. As a decimal, that's .3529
Green
11/17 is the answer. As a decimal that's .6471
Purple
Since there are no purples, the answer is 0
Red or Green
This one is a little tricky.
What else is there besides red or green? Nothing. You have to choose 1 or the other.
The answer is 1.
Eduardo won 40 pieces of gum playing hoops at the county fair. At school he gave one to every student in his math class. He only has 13 remaining. How many did he give away?
9-x^2 factorize the expression
Answer:
Step-by-step explanation:
(3-x)(3+x)
x^2-a^2 = (x-a)(x+a)