2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 | 1
21 | 3
35 | 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
A. p=421−376
376
B. p=421−376
421
C. p=376
421−376
D. p=376+421
376
Answer: The answer is A
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9 + 6)
9(1 + 54)
9(1) + 9(54)
Answer:
A-9(1=6)
Step-by-step explanation:
Correct on edg
2. How many solutions does the system have?
y - 4x = -3
2y - 8x = 10
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution
Answer:
no solution both
Step-by-step explanation:
Does the table show a proportional relationship, if so , what is the value of y when x is 10
Yes, the given table shows a proportional relation with constant of proportionality 1/3.
What are proportional relation?Two variables x and y are in proportional relation if the relation between then is in the form y = k x, where k is the constant of proportionality.
Or we can say for all pairs ( x, y ) , y/x = k , k is constant then the table containing (x, y) values shows a proportional relationship.
From given table
When x= 5 , y =[tex]1\frac{2}{3}[/tex] =5/3
Then, y/x = (5/3)/5 = 1/3 =k
When x =6 , y =2
Then, y/x = 2/6 = 1/3 =k
When x = 7 , y = [tex]2\frac{1}{3}[/tex] = 7/3
Then, y/x = (7/3) /7 = 1/3 =k
When x=8 , y =[tex]2\frac{2}{3}[/tex] = 8/3
Then , y/x = (8/3) / 8 = 1/3 =k
Thus for each pair (x, y) given in the table the ratio y/x is same , this ratio is say k = 1/3
Therefore, for the given table y/ x = k or y =k x with k = 1/3 , and the table shows a proportional relation with constant of proportionality 1/3.
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Write 321.35 in scientific form.
Answer:
3.2135 x 10^2 if you're looking for scientific notation
Step-by-step explanation:
Give the formula for finding the 'nth term' for this specific arithmetic sequence: 5, 8, 11, 14... (Be sure to fill in numbers for A(1) and d)
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Answer:
A(n) = 5 +3(n -1)
Step-by-step explanation:
The first term is ...
A(1) = 5
The common difference is ...
d = 8 - 5 = 3
Then the desired formula is ...
A(n) = A(1) +d(n -1)
A(n) = 5 +3(n -1)
Find the slope and the y-intercept of the line.
y = 8x-1
Answer:
Slope: 8 Y-intercept: -1
Step-by-step explanation:
This equation follows the format of y = mx + b. M would be the slope, b would be the y-intercept.
Is 4 to 7 the same as 7 to 4? Explain why or
why not?
Step-by-step explanation:
4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)
4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)
Answer:
Yes. The difference between them are the same. Both have the same number of units between them,
Step-by-step explanation:
Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:
A)
The incenter is equidistant from all three vertices of the triangle.
B)
The incenter is equidistant from all three sides of the triangle.
C)
The incenter is closest to the shortest side of the triangle.
D)
The incenter is closest to the longest side of the triangle.
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Answer:
B) The incenter is equidistant from all three sides of the triangle.
Step-by-step explanation:
The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.
(Find common denominator first.)
3/2 + b=7/4
Answer:
b = 1/4
Step-by-step explanation:
Take the given fractions : 3/2 and 7/4 and find a common denominator.We will use 4 as a common denominator.
In order for the denominator of 3/2 to get to 4, you need to multiply by 2.3 × 2 = 6 2 × 2 = 4
New fraction: 6/4Now we have the equation 6/4 + b = 7/4
7/4 - 6/4 = 1/4
Question 1
Which of the following statements is NOT true?
Answer:
the bottom one
Step-by-step explanation:
They are both the same ab and bc but im not entirely sure
Because AB, AC, and BC describe the same line, we conclude that the last option is the false one.
Which of the statements is not true?On the graph, we can see a line that contains points A, B, and C.
Now we want to see which statement is false.
Now, because A, B, and C are on the same line, is trivial that:
AB, AC, and BC (these 3 lines) have the same slope, because these are 3 different names for the exact same line.
Then we can conclude that the incorrect statement is the last one.
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20 POINTS!!
( Also explain the reasoning you used to find the value of P)
ILL MARK BRAINLIEST!!
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Answer:
P = 3x +32
Step-by-step explanation:
If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...
(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x
where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.
As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...
A = LW = P(2x)
We want this to be the same as the existing area, so ...
2Px = 6x^2 +64x
P = 3x +32 . . . . . divide by 2x
4.5/w = 3
what is the W?
Answer:
w=1.5 or w=13.5
Step-by-step explanation:
this is one answer:
multiply w on both sides to leave u with
4.5=3w
divide both sides by 3
[tex]\frac{4.5}{3}=\frac{3w}{3}[/tex]
1.5=w
_____________________
this is the second one if the first one is wrong:
multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.
then 3*4.5=13.5
w=13.5
hope dis helps if not then im not dat smart enough ;?
Michelle drew a purple line that was 1/2 of an inch long then she drew a green line that was 1/6 of an inch long how much longer what is the purple line than the green line
Answer:
[tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given length of purple line = [tex]\frac{1}{2}\ inch[/tex]
Given length of green line = [tex]\frac{1}{6}\ inch[/tex]
To find:
How much longer is the purple line than the green line ?
Solution:
To find the required length, we have to subtract the length of green line from the length of purple line.
i.e.
The required answer =
[tex]\frac{1}{2}-\frac{1}{6}\\\text{Taking LCM of 2 and 6, we get 6}\\\Rightarrow \dfrac{3-1}{6}\\\Rightarrow \dfrac{2}{6}\\\Rightarrow \bold{\dfrac{1}{3}}[/tex]
Therefore, the answer is:
Purple line is [tex]\frac{1}{3}[/tex] of an inch longer than the green line.
Brendon sells tires at the local auto parts store. He told a customer that the tire width for a new tire was 21.5 centimeters. Which of the following describes the tire width for the new tire? Help please thank you!!!
Answer:
215 mm
Step-by-step explanation:
1 cm = 10 mm
21.5 cm * (10 mm)/(1 cm) = 215 mm
Answer: 215 mm
Cardi B is buying a condo built within
a skyscraper. She learned that each floor is 13 feet tall.
Write an expression to represent the height of the skyscraper if it has f
floors, where f is the number of floors.
How tall, in feet, would her condo be in the skyscraper if she was on the 26th floor?
PLEASE HELP... 25 points
Answer:
13f is equation
which is floors times height
Step-by-step explanation:
26*13=338
338 feet tall
Brainliest appreciated!
Answer:
(H)=13f and the height is 338ft
Step-by-step explanation:
height of skyscraper=h
f=floors
height per floor is 13ft...
(H)=13f
(H)=13*f, if f is 26, then to find height multiply 13 by 26
doing this you get 13*26=338ft
What kind of solution does 3x+5=-2 have?
Answer:
[tex]x = - \frac{7}{3} [/tex]
step by step:
3x+5=-2
move constant to the right-hand side and change it's sign
3x=-2-5
Calculate the difference
3x=-7
Divided both sides of the equation by 3
Simplify the expression.
Can someone explain to me how to get the answer? Thanks!
Answer:
11x^2+2x+9
Step-by-step explanation:
2+(2+6)⋅x^2+2x+3x^2+7
2+(8)⋅x^2+2x+3x^2+7
2+8x^2+2x+3x^2+7
9+8x^2+2x+3x^2
9+8x^2+2x+3x^2
11x^2+2x+9
Seven less than one-fourth of a numer is -1.
Answer:
The number is 24.
Step-by-step explanation:
-1+7=6
6*4=24
I believe the answer is 96
x/4 - 7 = 17
x/4 = 24
x = 96______is the number
Ramon earns $1,665 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Please help look at the picture
Answer:
The correct answer would be D
Help rn please!! Urgent
Answer:
x² + 2x - 15 = 0
Step-by-step explanation:
- 5 and 3 are zeros of quadratic function.
(x + 5)(x - 3) = 0
x² + 2x - 15 = 0
At a winter concert, the ratio of the number of boys to the number of girls is 3:8. if there are 250 more girls than boys, how many
boys are at the concert?
Answer:
150
Step-by-step explanation:
if 3:8 , that means the difference is 5. the difference is 250, so 250/5 =50.
then u multiply 3 by 50 and get 150. ur welcome man
The price of a remote control car was reduced from $200 to $120. By what percentage was the
price of the remote control car reduced?
Answer:
%40
Step-by-step explanation:
Help me<3. Its maph ugggggg brain hurt......*dieing noises*
Step-by-step explanation:
There are several ways to solve this, but the only one I remember how to do is with the pythagorean theorem. The distance between A and B is the same as a hypotenuse of a triangle with a height the absolute value of y1-y2 and a base of the absolute value of x1-x2.
For example, in the first question, the coordinates are (1,2) and (9,8), so we have a triangle with base 8(9 - 1) and 6(8 - 2). Now we just need to plug that into the pythagorean theorem like so:
[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]
or plugging our numbers in,
[tex]8^{2} + {6}^{2} = 100[/tex]
The answer is the radical of the answer, in this case 10.
So if this makes sense, go ahead and try to work the next three out on your own, and if you still need help let me know <:
Hope this helps Bucke!
It there sufficient evidence to conclude that more than 75% of US businesses monitor employees web site visits? Test the appropriate hypotheses using a significance level of 0.01
Complete question is;
In a survey of 565 U.S. businesses, 430 of these companies indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.
Is there sufficient evidence to conclude that more than 75% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)
Answer:
There's not sufficient evidence to suggest that more than 75% of U.S. businesses monitor employees website visits.
Step-by-step explanation:
Population proportion; p^ = 430/565 = 0.761
Sample proportion; p = 75% = 0.75
Significance level; α = 0.01
Sample size; n = 560
Let's define the hypotheses;
Null hypothesis; H0: p = 0.75
Alternative hypothesis: p > 0.75
Formula for the test statistic is;
z = (p^ - p)/√[p^(1 - p^)/n]
z = (0.75 - 0.761)/√(0.75(1 - 0.75)/560)
z = -0.011/√0.00033482143
z = -0.011/0.0183
z = -0.60
From online p-value from z-score calculator attached, using; z = -0.60, significance level = 0.01, one tailed hypothesis, we have;
P-value ≈ 0.2743
The p-value is greater than the significance level and so we will fail to reject the null hypothesis and conclude that there's not sufficient evidence to suggest that more than 75% of U.S. businesses monitor employees website visits.
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SSS
B.) SAS
C.) AA
D.) Not enough information given
The two triangles could be similar by the AA similarity property. So, option C is correct.
What is AA similarity property?AA is angle-angle similarity property.
In the given figure, both of these triangles show two given angles which are 42 degrees.
The other two sides are different and not proportional to each other.
So, The two triangles could be similar by the AA similarity property.
Thus, option C is correct.
Learn more about similarity property;
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136 = -8(1 + 6v)
Help
Answer:
-3
Step-by-step explanation:
136 = -8(1+6v)
136 = -8 - 48v
136 + 8 = -48v
144 = -48v
144/ -48 = v
-3 = v