Given:
A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.
The land is [tex]2\dfrac{1}{2}[/tex] miles long.
To find:
The width of the rectangular land.
Solution:
We have,
Area of a rectangle = [tex]\dfrac{3}{4}[/tex] square mile.
Length = [tex]2\dfrac{1}{2}[/tex] miles
We know that, area of a rectangle is
[tex]A=l\times b[/tex]
[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]
[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]
[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]
Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get
[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]
[tex]\dfrac{6}{20}=b[/tex]
[tex]\dfrac{3}{10}=b[/tex]
Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.
Write a small statement to convince others of the importance of food safety
Answer:
Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.
Which equation represents a proportional relationship?
y = 5x + 1
y=−5(x+1)
y=
1
5x
y=−x
the triangles below are similar. find the value of the variable m
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
:) Have a good day!
Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.
(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?
Answer:
(a).4.36 mph
(b) No
Step-by-step explanation:
We are given that
Jan covered distance,s1 =2 miles
Speed of Jan, a=3 mph
s2=1 mile
b=8mph
a.
We have to find the Jan' s average speed for the entire trip.
Average speed =[tex]\frac{2ab}{a+b}[/tex]
Using the formula
Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]
b.
Average speed with two speed
Average of Jan’s two speeds
[tex]=\frac{a+b}{2}[/tex]
=[tex]\frac{3+8}{2}=5.5 mph[/tex]
[tex]4.36\neq 5.5[/tex]
Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.
Which expression is equivalent n + n - 0.24n?
Answer:
Without seeing the expressions that you can choose from, I can't tell you which one is correct, but I can tell you that n + n - 0.24n is equal to 1.76n
You spin a spinner numbered from 1 to 8 twice. Find the probability of getting a 1 on the first spin and a 2 on the second spin.
Answer:
[tex]Probability = \frac{1}{64}[/tex]
Step-by-step explanation:
The sample space of the spinner is:
[tex]Sample\ Space = \{1,2,3,4,5,6,7,8\}[/tex]
So:
[tex]n(S)= 8[/tex]
All of which have the same probability.
Required
Determine the probability of 1, then 2 when spin twice
The probability of the first being 1 is:
[tex]P(1)= n(1)/n(S)[/tex]
[tex]P(1)= 1/8[/tex]
The probability of the second being 2 is:
[tex]P(2)= n(2)/n(S)[/tex]
[tex]P(2)= 1/8[/tex]
So, the required probability is:
[tex]Probability = P(1) * P(2)[/tex]
[tex]Probability =1/8* 1/8[/tex]
[tex]Probability = \frac{1}{64}[/tex]
13 points so please help meee with a and b!
Answer:
(a)
$24.10,
$18.20,
$15.25,
$9.35,
$0.50,
(b)
b=30-2.95g
Step-by-step explanation:
Answer: a) 2:24.10 4:18.20 5:15.25 7:9.35 10:.50
b) b=30-2.95g
The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has. (just give the number)
Answer:
24
Step-by-step explanation:
the wavelength of yellow light in a spectrum is about 0.000002 inches
Answer:
the answer is C:
[tex]2 \times 10 { - }^{4} [/tex]
Step-by-step explanation:
I hope this helps! ^^
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Raj wants to take yoga classes. There are two yoga studios that have different membership plans.
The first studio charges a fixed amount of $70 per month, and you can take as many classes as you want
for no additional charge.
The second studio charges a smaller initial fee plus an additional fee for each class taken. The monthly price
(in dollars) of the second studio as a function of the number of classes taken is given by the following table
of values:
Classes
Price (dollars)
1
35
3
45
5
55
Which studio charges more for each additional class?
Answer:
Which studio charges more for each additional charge? B
Raj wants to take 8 classes each month. Which studio is cheaper for him? A
Step-by-step explanation:
Studio one has no additional charge.
Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.
Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
if you glance at -2 and go up positive three
help pls I will give brainliest to whoever answers best
Step-by-step explanation:
its 60
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.
On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.
How was triangle A translated?
four units left
four units right
six units left
six units right
Answer: D is correct
Step-by-step explanation: Got a 100% on my test
The translation of triangle A is (d) six units right
The translation from triangle A to BTranslation involves changing the position of a shape
From the question, we understand that:
Triangle A represents the pre-imageTriangle A is shifted to the right by 6 unitsThis means that, triangle A was translated by 6 units to the right
Hence, the true statement is (d)
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i need help asapp i’ll be giving a brainliest to the person with the correct answer
Are they correct? Is that the question? Well, the first one is correct because Slope (m) = -6/1 =-6
Equation of the line:
y = -6x + 15
When x=0, y = 15
When y=0, x = 2.5
and the other one:
Is incorrect and the correct answer is A because y= 7.5x -2. 7.5 is positive, the slope, and -2 is the y-intercept. Its negative.
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 25 ft long. She wants to leave a uniform strip of floor around the rug. She can
afford to buy 315 square feet of carpeting What dimensions should the rug have?
Answer:
13 x 158
Step-by-step explanation:
L= 2W
A= 315 sq ft^2
A= L*W
315= 2W* W
315/2= 158 = w^2
W^2= 158
W=[tex]\sqrt{158}[/tex]
W= 13
The rug should have a dimension of 15 ft wide and 21 ft long.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.
Let the length of the room be l and h be the width.
So, given that,
l = 19 ft
h = 25 ft
Let w be the width of rug,
Since Cynthia can afford to buy 315 square feet of carpeting
So, area of the rug should be given as,
l*h = 315
Now to carpet the room along its dimension, each side of the width is
w + w = 2w.
So, l =25 - 2w
h = 19 - 2w
Now, ∵ l*h = 315
Put the values we get,
(25 - 2w)*(19 - 2w) = 315
expanding we get,
4w² - 88w + 475 = 315
or, 4w² - 88w + 160 = 0
or, w² - 22w + 40 = 0
using the quadratic equation we get two solutions:
w = 2
w = 20
Since, w = 20 is greater than one of the width of the room i.e 19ft
So,we take the solution w = 2
Thus, dimensions of rug is given as,
l = 25 - 2*2 = 21 ft
h = 19 - 2*2 = 15 ft
Thus, the rug should have a dimension of 15 ft wide and 21 ft long.
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What are the scale factor and center of the dialtion?
Will mark brainliest
Answer:
.
Step-by-step explanation:
Four divided by what number equals 12?
Answer:1/3
Step-by-step explanation:
Answer:
1/3 or 0.3333
Step-by-step explanation:
[tex]\frac{4}{x} =12[/tex]
[tex]4 = 12x[/tex]
[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]
Four divided by 1/3 equals 12.
i honestly forgot how to solve this
Answer:
c must be -4
Step-by-step explanation:
x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.
The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.
Substituting -5 for b and 1 for a, we get:
(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16. Thus, c must be -4, and the quadratic is
x^2 - 5x - 4
help plz!! i’ll give brainliest
Answer:
answer choice a! (16)
Step-by-step explanation:
Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY
Solve for x: x/7 - 3 ≥ 8.
Answer:
x is more than or equal to 77
Step-by-step explanation:
Find the value of x so that the function has the given value.
n ( x ) = 4x + 15; n ( x ) =7
plz help
Answer:
n(x)=4x+15;n(x)=7
n(7)=4(7)+15
=》n(7)=28+15
28+15=43
n(7)=43
HELP ME WITH THIS ASAP PLEASE I WILL PUT FIRST ANSWER AS BRAINLIEST!!!
Answer:
A
Step-by-step explanation:
You only need one admission ticket, so there is no need to have a variable with it. She golfed multiple rounds, so you need a variable by $6.25. You are adding the charges together so you need an addition symbol.
Hope this helps!
A chemist needs to mix 6 parts acid to 7 parts base for a reaction. If they need a total of 52mL (milliliters) of reaction, how many mL
of acid and base are needed?
Answer:
24 millilitres acid
28 millilitres base
Step-by-step explanation:
First, we need to know how many parts there are in total. We do this by adding the number of parts of acid (6) and base (7). 6+7=13
Then, divide 52 by 13 to find out how many millilitres makes up a part.
52/13=4
Then you multiply this by the number of parts for each substance.
4x6=24 millilitres acid
4x7=28 millitres base
Will mark brainliest and rate 5/5 if answered right.
Answer:
a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]
b. [tex]100-25\pi[/tex]
Step-by-step explanation:
The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].
The difference quotient is used to determine the average rate of change of g(x) = 5x2 + 6x on the interval from x = 1 to x = 5. Which statement describes the process correctly?
Answer:
C. The difference quotient is 10x+5h +6, so the average rate of change is 10(1)+ 5(4) + 6 = 36
Step-by-step explanation:
The statement is the difference quotient is 10x+5h +6.
What is average rate of change of function?It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Given function:
g(x) = 5x² + 6x
interval is x= 1 to x=5
so, the average rate of change is
=10(1)+ 5(4) + 6
= 36
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I need help fast
The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?
Answer:
2.83 units diagonally
2 units horizontally and 2 units vertically
Step-by-step explanation:
x position difference -2-(-4)=2
y position difference 7-5=2
2 units horizontally and 2 units vertically on a graph
2^2+2^2=8
sq rt 8=2.83 units
Stephanie is saving money to buy a bike that costs $189. She has saved $99 so far. She plans on saving $10 each week. How many weeks will it take for her to save enough money for the bike? Write an equation. Use x to represent the number of weeks
Answer:
189=99+10x, it will take her 9 weeks to save up enough
Step-by-step explanation:
Answer:
189 = 99 + 10x
Step-by-step explanation:
189 = 99 + 10x
-99 -99
90 = 10x
/10
9 = x
helppp! doing test!!
Answer:
Can you show more of the question?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Basically, division. divide 85.60 by 4 in order to get each hour.