Clear Mark for Review Jamal's lawn is shaped like a square with an area of 224.9 ft. Which measurement is closest to the side length of his lawn in feet?
Answer: 15 feets
Step-by-step explanation:
Given that :
Area of square shaped lawn = 224.9 ft²
Measurement closest to side length of the lawn :
Since the length is square shaped ;
Area of square formula = a²; where a = side length of the square
Area = a²
224.9 ft² = a²
Take the square root of both sides
√224.9ft² = √a²
14.996666 ft = a
a = 14.996666 ft
a = 15 ft
Hence, the side length of the lawn is closest to 15 feets
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had
Complete question :
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.
Answer:
Train A = 80 miles per hour
Train B = 90 miles per hour
Step-by-step explanation:
Given that :
Distance between A and B = 1020
Let the speed of A = x
Speed of B = x + 10
Since they both left simultaneously;
Distance traveled after 5 hours will be :
Distance = speed * time
A = x * 5 = 5x
B = (x + 10) * 5 = 5x + 50
After the distance traveled by each of A and B, they are still 170 miles apart
Hence, distance covered after 5 hours ;
Total miles - miles left
1020 - 170 = 850 miles
Hence,
5x + 5x + 50 = 850
10x = 850 - 50
10x = 800
x = 80
Train A = 80 miles per hour
Train B = 80 + 10 = 90 miles per hour
The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?
Answer:
3rd one
Step-by-step explanation:
The correct pattern created by the values is,
⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The table shows a relationship between x-and y- values.
Now, We have;
x = 2, 4, 6, 8
y = 6, 8, 10, 12
⇒ 2 + 4 = 6
⇒ 4 + 4 = 8
⇒ 6 + 4 = 10
⇒ 8 + 4 = 12
Clearly, Each value of y is determined by adding 4 to each x - values.
Hence, The pattern is additive.
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For a segment of a radio show a disc jockey can play 8 records. If there are 10 records to select from, in how many ways can the program for thid segment be arragned
Answer:
45 ways
Step-by-step explanation:
Combination method is appropriate for this question since it deals with arrangement.
i.e [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{(n - r)!r!}[/tex]
Since 8 records are to be selected from 10 available records. Then, the number of ways for the arrangement of the records can be determined as;
Let n = 10 and r = 8
[tex]^{10}C_{8} }[/tex] = [tex]\frac{10!}{(10 - 8)!8!}[/tex]
= [tex]\frac{10!}{2!8!}[/tex]
= [tex]\frac{10*9*8*7*6*5*4*3*2!}{2!8*7*6*5*4*3*2!}[/tex]
= [tex]\frac{10*9}{2}[/tex]
= 45
Therefore, the number of ways by which the records can be arranged is 45.
The points (-1, r) and (2, 1) lie on a line with slope 2. Find the missing coordinate r
Please help!!!
Answer:
r = -5
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
(-1, r)
(2, 1)
r - 1/-1 - 2 = r - 1/-3
Slope = 2
-3 x 2 = -6
-6 -(-1) = -5
-5 - 1 = -6
-6/-3 = 2
So:
r = -5
Hope this helps!
9514 1404 393
Answer:
r = -5
Step-by-step explanation:
The x-coordinate of the partially-defined point is 3 units less than the x-coordinate of the given point. The slope of 2 tells you the y-coordinate of the partial point (r) will be 2·3 = 6 units less than the y-coordinate of the given point. That is ...
r = 1 - 2·3
r = -5
__
You are given the slope of the line and a point on it, so you can write the point-slope equation of the line:
y -y1 = m(x -x1) . . . . . . . line with slope m through point (x1, y1).
For the given point and slope, this is ...
y -1 = 2(x -2)
For an x-value of -1, the corresponding y-value will be ...
r = 2(-1-2) +1 = -6 +1
r = -5
4. Celia is making biscuits. Her recipe calls for 1/3 cup of flour, but
she only has a 1/2 cup measure. About how full should she fill the
measuring cup?
Answer:
I think it is 5/6
Step-by-step explanation:
She should do 5/6 of the way because 1/3x1/2=5/6
Answer:
16.5% full
Step-by-step explanation:
1/2 in decimal is 0.5
1/3 in decimal is 0.33
0.5x0.33=0.165
0.165 as a percentage is 16.5%
Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equations :
6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Will the number 103 will make each true?
601 / 6.01= 100 (No, not true)
305 / 0.305 = 1000 (No, not true)
540 / 0.54 = 100 (No, not true)
970 / 0.097 = 10000 (No, not true)
Hence, multiplying each of the equation above by 103 will not make any of the equations true.
Pls help, I only have ten min
how do i do this ? what does the y = 1 have to do with the reflection
because you have to flip the thing
A bus can travel 150 miles in 4 hours, what is the constant of proportionality per hour?
Answer:
37.5 miles per hour
Step-by-step explanation:
What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)
Answer:
17
Step-by-step explanation:
24x+24=27x-27
51=3x
x=17
WILL GET 15 POINTS AND MARKED BRAINLINESt
1. Create your own expression that contains at least one operation and one variable.
example: 5x
2. Describe a situation that your expression can model.
example: x represents the price of a pound of grapes, in dollars. Cheryl buys 5 pounds of grapes. The cost of Cheryl's grapes can be modeled by 5x
Answer:
4x+5
Step-by-step explanation:
4x represents making 4 dollars per hour and 5 represent the amount of money you began with
Answer:
1) 2x
2) x represent how many candy a person have
2 is the amount of person
The total candy canbe modeled by 2x
Step-by-step explanation:
A line passes through (0, 2) and has a slope of 13 .
What is the equation of the line in slope-intercept form?
y=13x+2
y=13x−2
y=−13x+2
I don't know.
Answer:
y=1/3x+2
Step-by-step explanation:
Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Given :
A line passes through (0, 2) and has a slope of 1/3
The equation of a line in slope intercept form is y=mx+b
where m is the slope and b is the y intercept
From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]
The line passes through (0,2) that is our y intercept b
b= 2
Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b
[tex]y= \frac{1}{3} x+2[/tex]
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
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The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
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Someone please help me
Answer:
a
Step-by-step explanation:
Is 7.165 a rational number?
Answer:
yes it is rational
Orville was out bicycling with his brother Wilbur. Orville stopped to fix a flat tire. Wilbur continued at 10 mph. After 30 minutes, Orville had fixed the flat, and he rode off at 12 mph in pursuit of Wilbur. In how many hours did Orville catch up to Wilbur?
Answer:
Orville caught up with Wilbur in 2.5 hours
Step-by-step explanation:
Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur
Mathematically,
distance = speed * time
The distance traveled before Orville restarted his own journey is ;
distance = 10 mph * 0.5 = 5 miles
(30 minutes is 30/60= 0.5 hours)
So this means that Wilbur was now 5 miles ahead of Orville
Now, let the number of hours it took to
catch up Wilbur be h
In h hours,
Wilbur would have traveled 5 miles + 10h
In this same time, Orville would have traveled
12 * h = 12h
So the distance traveled by the two will be equal at this h hour
5 + 10h = 12h
12h-10h = 5
2h = 5
h = 5/2
h = 2.5 hours
Unit 2 lesson 5 practice problem 3 in math workbook
You get 15 points if you answer this.
Answer:
what do you need help with???
Question 6 (1 point)
Erica is collecting cans for a school fundraiser. She collects 5 the first day, 10 the
second day, and 15 the third day. If the pattern continues, how many cans will she
collect on the tenth day?
50 cans
15 cans
100 cans
065 cans
Quiz 1
Rewrite the fraction as a decimal.
13
10
Report a pro
Answer:
1.3
Step-by-step explanation:
Just divide the top by the bottom.
Answer:
1.3
Step-by-step explanation:
If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.
hint there are 12 inches in a foot. your family recently had a family pressure taken your aunt asked you to take a picture of the portrait using your phone and send it to her if the original size of the portrait is 3 ft by 3 ft and the scale factor is 118 what would the size of the portrait be on ylour phone
Answer:
1,416
Step-by-step explanation:
multiply 12 by 116
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Find the slope and y intercept for y = 3x - 2.
Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
–19
–13
13
16
Answer with no step-by-step explanation:
13
I need help please
A person with a mental age of 21 and a chronological age of 20 has an IQ of 105. What is the chronological age of a person with a mental age of 35 and an IQ of
Answer:
The answer is "25 years".
Step-by-step explanation:
In the question the value of IQ is missing that is = 140
Given value:
IQ= 140
MA=35
CA=?
Formula for calculating the chronological age:
[tex]\to CA = (\frac{MA}{IQ})\times 100[/tex]
[tex]= (\frac{35}{140})\times 100\\\\ = \frac{35}{14}\times 10\\\\=2.5 \times 10\\\\= 25[/tex]
if triangle ABC=triangle DEC, and angle b=3x and angle e=6x-39, what is x
The value of x in the expression is 13.
What is a Triangle?A polygon which has three sides and three vertices is called as triangle.
The sum of all the angles of the triangle is 180°.
Given:
The triangle ABC = triangle DEC,
and angle b=3x and angle e=6x-39.
To find the value of x:
We know,
b = e
So, substituting the values,
3x = 6x - 39
3x = 39
x = 13.
Therefore, the value of x is 13.
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A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of chocolate chips used, x?
Simplify 2 x2 - y for x = 3 and y = -2.
A. 10
B. 14
C. 20
D. 16
Answer:
B. 14
Step-by-step explanation:
okay we are going to place 3 where the x variable is and -2 where the y variable is in the equation 2 x2 - y
2 (3*2) - (-2)
the equation now looks like this:
2(6) - (-2)
Since the subtraction sign is in front of the negative number the negative number will turn positive making the equation look like this:
2(6) + 2
we are now going to do the order of operations by multiplying 6 by 2 before adding 2:
6 * 2 = 12 + 2 = 14
So the equation 2 x2 - y = 14
the area of rectangle is x^2-3x+2. Find a possible length and width of the rectangle.
Answer:
x - 2 and x - 1 can be possible length and width of the rectangle.
Step-by-step explanation:
Area = x² - 3x + 2
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
To find possible length and width we can factorize the above expression.
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x² - 3x + 2 ( 2 = -1 × -2 )
x² - x - 2x + 2 ( 3 = -1 + -2 )
x(x - 1) + -2(x - 1)
(x - 2) (x - 1)
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x - 2 and x - 1 can be possible length and width of the rectangle.
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How many 1-yard-square tiles would it take to cover this rectangle? Dimensions are in yards.
Answer:
it would take 520^2 tiles
Step-by-step explanation:
LxW
26×20
520 yrds^2