Given:
10 boys clear a piece of land in 21 days.
To find:
The number of days it will take 7 boys to clear the same land at the same rate.
Solution:
We have,
10 boys clear a piece of land in 21 days.
Total work = [tex]10\times 21[/tex]
= [tex]210[/tex]
Let 7 boys clear the same piece of land in x days.
Total work = [tex]7\times x[/tex]
= [tex]7x[/tex]
Now, the total work is same.
[tex]7x=210[/tex]
Divide both sides by 7.
[tex]x=\dfrac{210}{7}[/tex]
[tex]x=30[/tex]
Therefore, 7 boys clear the same piece of land in 30 days.
Determine the domain of the following graph:
Answer:
Domain: (-7, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:
Interval Notation: (-7, 4]
Inequality Notation: -7 < x ≤ 4
I REALLY NEED HELP!!!! Determine how far the intersection of Oak Street and New Street will be from the intersection of Main Street and New Street.
Answer:
2 = 3.5 0.=3.2
Step-by-step explanation:
hope it helps
food delilah has 4 1/2 pies to divide equally among 9 people. how much would each person get
Answer:
4.5/9 = 0.5
half a pie each
It costs $60 to buy 10 hamburgers. At this rate, how much would it cost to buy 12 hamburgers? (Use proportions to help you).
i need this answer asap!!
Answer:
72
Step-by-step explanation:
I divided.$60 by 10 and got $6 per every burger, then I multiplied $6 x 12 and got $72.
You and a friend go to the store and purchase 3 candy bars that cost $0.85 each and 2
sodas that cost $1.89 each. You are going to split the cost. You have $5. How much change
will you receive?
A box in the shape of a cube has a side length of 1 1/2 feet. What is the volume of the box?
Answer:
Step-by-step explanation:
V cube=s^3, where is the side of the cube
1 1/2ft=3/2 ft
V=(3/2)^3=27/8 ft^3=3 3/8 ft^3
V=3.375 ft^3
what expression is equivalent to −24x+72?
Answer choices:
1. 24(x+72)
2. 24(x+3)
3. −24(x−72)
4. −24(x−3)
Step-by-step explanation:
the answer is 4. you factor the equation since 24.
A store sold 38 books in 2 hours
At this rare, how many books will
it sell in 7 hours?
Answer:
133 Books Sold in 7 hours.
Step-by-step explanation:
38 devied by 2 is 19.
Multiply 19 by 7.
19x7= 133.
I need help ASAP. I am terrible at math
Answer:
1.y=2/3x +9
2.y=-7x+(-3)
Step-by-step explanation:
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands
heads up 19 times. How does this frequency compare to the expected frequency based on
the probability of the coin landing with heads up?
Answer: A “The Frequency is 31 lower than expected.”
Step-by-step explanation:
The frequency is 12 fewer than expected.
What is relative frequency?Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.
The experimental relative frequency at which the coin lands heads up is [tex]\frac{19}{50}[/tex] or 0.38.
If the coin were a fair one, we would expect that it had heads up 25 out of 50 times, which would be a relative frequency of 0.50.
Since this is not happening, we conclude that the coin is NOT a fair one.
Expected frequency = 0.50
Experimental relative frequency = 0.38
= 0.50 - 0.38
= 0.12 or 12 %
Hence, the frequency is 12 fewer than expected.
Find out more information about relative frequency in probability here
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online sales result in 35% of sales being returned to their local brick-and-mortar store. what is 35% of 2,000 purchases?
a. 70
b. 240
c. 350
d. 700
Answer:
b
Step-by-step explanation:
b
Answer:
D) 700
Step-by-step explanation:
I used a calculator so sorry if I can't give a explanation
Simplify the expression:
4b - 24 + 19
4p - 5p - 30p
4.2v - 5 - 6.5v
Jack used 40 balloons to decorate a room for a party. Of the balloons he used, 15% were red balloons.
How many red balloons did Jack use?
If you have 5 dimes and one quarter and gave one of your dimes to your best friend, how much money do you have?
Answer:
65 Cents
Step-by-step explanation:
show that each quadrilateral with the given vertices is a parallelogram.
N(5,1), P(2,7), Q(6,9), R(9,3)
9514 1404 393
Explanation:
The quadrilateral is a parallelogram if the midpoints of its diagonals are the same point. That is, if ...
(N +Q)/2 = (P +R)/2
Multiplying by 2, we can simplify the test to ...
N +Q = P +R
(5, 1) +(6, 9) = (2, 7) +(9, 3)
(5+6, 1+9) = (2+9, 7+3)
(11, 10) = (11, 10) . . . . . . . true ∴ NPQR is a parallelogram
The area of the rectangle is 5 times the triangle
Don't know what you mean
What is the scale factor of ABC to A DEF?
Answer:
6
Step-by-step explanation:
All sides of triangle EFD have x6 of BAC.
E.g.: BA = 2. ED = 2 x 6 = 12
The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If the football team needs to raise at least $3,000 for equipment, write an inequality to represent the situation and find the least number of "Jaguar Cards" the team must sell.
Answer:
The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.
If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.
Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].
Now, on solving we get,
[tex]20x\geq 3000[/tex]
[tex]\implies x\geq \frac{300}{20}[/tex]
[tex]\implies x\geq 15[/tex]
Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.
Writing an inequality function:Since
Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment
20x≥30,000
x≥15
Based on this, the above represent the inequality function.
Find out more information about the equation here:
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A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices
Answer:
Length of spaceship in movie = 528
Step-by-step explanation:
Given that:
Drawing ratio of spaceship = 1 : 24
It means that 1 inch on drawing equals 24 inches in movie
Drawing of spaceship = 22 inches
Length of spaceship in movie = x
As the relationship is proportional,
1 : 24 :: 22 : x
Product of mean = Product of extreme
24*22 = x
x = 528
Hence,
Length of spaceship in movie = 528
Find the missing lengths. Leave answer in simplest radical form.
Scott and Cassie are selling pies for a school fundraiser. Customers can buy cherry pies
and apple pies. Scott sold 4 cherry pies and 6 apple pies for a total of $88. Cassie sold 8
cherry pies and 7 apple ples for a total of $126. What is the cost of each pie?
Cherry pies cost
and apple pies cost
Answer:
9.42857142857
Step-by-step explanation: Is a long decimal so you could just round it to 9.43
Solve for the variable. You may use the hangers to help you.
40 = 2f + 12
f
f
40
12
Answer:
i don't know what the hangers are for but the calculation is given below
Step-by-step explanation:
40 = 2f + 12
40 - 12 = 2f
28 = 2f
28/2 = f
14 = f
therefore f = 14
On the grid, draw the graph of
y = 2x - 3
for values of x from -2 to 4
Q
Answer:
Plot these points:(-2,-7) (-1,-5) (0,-3) (1,-1) (2,1) (3,3) (4,5)
Step-by-step explanation:
You need to substitute your x values into the x of the equation y=2(3)-3 to find the y value...
The standard equation of a line is expressed as y = mx + b
m is the slope
b is the y-intercept
Given the equation y = 2x - 2
If x = -2
y = 2(-2) - 2
y = -4-2
y = -6
If x = 4
y = 2(4) - 2
y = 8-2
y = 6
This shows that the point (-2, -6) and (4, 6 )must be on the line graph. FInd the graph attached below.
Learn more here: https://brainly.com/question/17003809
Find the measure of
Answer:
∠RST = 68°Step-by-step explanation:
When looking at the diagram, we can infer that angle RST is the sum of angles RSQ and QST.
Therefore, angle RST = 46 + 22 = 68
∠RST = 68°
The Video Rental Club charges a $5 monthly fee and $2.00 charge for each
video rental. The total cost for monthly video rentals depends on how many
movies a member rents. The table below represents the total cost of video
rentals per month.
videos (V)
0
1
2
3
4
monthly cost (c)
$5
$7
$9
$11
$13
Which equation represents the relationship between the cost, c, and the
number of videos, V?
C. c = 2V + 5
D. c = 5v + 2
A. c = 2v
B. C = 5v + 5
Answer:
C=2v+5
Step-by-step explanation:
C=2v+5
I got this because its 2 dollars PER video plus 5 a month
Helpppppppppppppp pleaseeeeeeeee
First, lets put this into slope intercept form
3x + 2y = -6
2y = -3x - 6
y = -3/2x - 3
The y intercept is (0, -3)
To find the x intercept we set the new equation to zero and solve
0 = -3/2x - 3
+3 +3
(2)3 = -3/2x(2)
6 = -3x
6/-3 = -3x/-3
-2 = x
The x intercept is (-2,0)
Therefore, your intercepts are:
y-int. = (0,-3)
x-int. = (-2,0)
Hope this helps! =D
What is the range of the graph?
Answer:
y ≥ -1
Step-by-step explanation:
range consists of all y-values contained in the solution set
the lowest y-value (as seen by the graph) is negative 1
Graph y+9=−3x. please help me
Well, first thing we need to do is put this in slope intercept form of y.
Subtract 9 from both sides to isolate "y".
y= -3x-9
Now we can graph the equation
Graph the point (0,-9) since it is the y-intercept.
To get the x intercept, isolate the "x" variable instead of "y".
y+9 = -3x
(Divide every number on both sides of the equation by -3 to isolate "x".)
y/-3 -3= x
now that this is in slope intercept form of x, plug in 0 for y to get the number for x when y is 0.
0/-3 -3 = x
-3 = x.
Graph (-3, 0). Connect this point to the point (0,-9) and you get have successfully graphed the equation y+9= -3x.
I hope this helped.
I need help on this
Answer:
C.
Step-by-step explanation: