A rectangular flower garden in Samantha's backyard has 300 feet around its edge. The width of the garden is 70 feet.
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Related Questions
Ops gets $140 per day and laborers get $100 per day. If 35 people were hired and payroll was $4820, how many ops were employed and how many laborers?
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Answer:
2 laborers and 33 ops
Step-by-step explanation:
Given
Let:
L = Laborers
P = Ops
From the statements, we have:
[tex]L + P = 35[/tex] -- total people hired; and
[tex]140P + 100L = 4820[/tex] ---number of hirees
Required
Solve for L and P
Make L the subject in: [tex]L + P = 35[/tex]
[tex]L = 35 - P[/tex]
Substitute [tex]L = 35 - P[/tex] in [tex]140P + 100L = 4820[/tex]
[tex]140P + 100(35 - P) = 4820[/tex]
[tex]140P + 3500 - 100P = 4820[/tex]
Collect like terms
[tex]140P - 100P = 4820 - 3500[/tex]
[tex]40P = 1320[/tex]
Solve for P
[tex]P = 1320/40[/tex]
[tex]P = 33[/tex]
Substitute [tex]P = 33[/tex] in [tex]L = 35 - P[/tex]
[tex]L = 35 - 33[/tex]
[tex]L = 2[/tex]
A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 6 granola bars and each large box has 24 granola bars. The camp bought 4 times as many small boxes as large boxes, which altogether had 96 granola bars. Graphically solve a system of equations in order to determine the number of small boxes purchased, x,x, and the number of large boxes purchased, yy.
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Answer:
Let's define the variables:
x = number of small boxes bought.
y = number of large boxes bought.
Then the total number of granola bars is:
x*6 + y*24
We also know that "The camp bought 4 times as many small boxes as large boxes"
Then:
x = 4*y
and "...which altogether had 96 granola bars."
The total number of granola bars is 96, then:
x*6 + y*24 = 96
Then the system of equations is:
x = 4*y
x*6 + y*24 = 96
We want to solve this graphically.
Then we first need to isolate the same variable in both equations.
We can see that in the first one x is already isolated, so let's isolate x in the second equation:
x*6 = 96 - y*24
x = (96 - y*24)/6
x = 16 - y*4
Now we have the equations:
x = 4*y
x = 16 - y*4
To solve this graphically we need to graph both fo these lines and see in which point the lines do intersect.
The point where the lines intersect is the solution of the system.
The graph can be seen below.
We can see that the lines do intersect at the point (2, 8)
This means that the camp bought 2 large boxes and 8 small boxes.
4. Which ordered pair best represents a point
on Tia's route to the store?
F .(-5, 6)
G. (-2.5, 0)
H. (-2,5)
J. (-3.5, -3)
Answers
Answer:
G. (-2.5, 0)
Step-by-step explanation:
Starting from the origin, (0, 0), go 2.5 units to the left (because it's negative) on the x-axis, and then 0 units on the y-axis. You end up on (-2.5,0).
hope this helped :)
Cheryl moves houses. Her old house is 3 kilometers from her new house. How many meters is it from the old house to the new house?
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Answer:
3000 here hope this helps you out
what is the distance between (3,-5), (-3,0)
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Answer: 11 units
Step-by-step explanation:
-3 and 3 are 6 units apart, so that would be 6 units, and when you add the -5 into the problem, the 6 units become 11 units. Hope this helped :)
Answer:
Exact Form:
√ 61
Decimal Form:
7.81024967 …
At a certain school, 8/9 of the students are boys. Today, 2/5 of the boys brought their lunch. What fraction of the students are
boys who brought their lunch today?
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Answer:
the answer is I think 2/3
Fraction of boys brought lunch today is 16/25.
Here,
Given that:
The ratio of boys at certain school = 8/9
And 2/5 of boys brought lunch today
We have to find fraction of boys brought lunch today.
What is fraction?
Fractions denote the parts of a whole or collection of objects.
Now,
The ratio of boys at certain school = 8/9
And 2/5 of boys brought lunch today
Since, the ratio of boys 8/9 denotes 8 boys out of 9 students
Therefore, number of boys = 8
Thus, Fraction of boys brought lunch today = 8 x 2/5
= 16/25
To learn more about fraction visit:
https://brainly.com/question/20323470
#SPJ2
Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.
Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)
Answers
Answer:
x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]
Step-by-step explanation:
Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;
2y + x + y = [tex]180^{o}[/tex]
x + 3y = [tex]180^{o}[/tex] ................ 1
Also,
2x + x + 2y = [tex]180^{o}[/tex]
3x + 2y = [tex]180^{o}[/tex] .............. 2
Using the elimination method, multiply equation 1 by 3 and equation 2 by 1
3x + 9y = 540 ............ 3
3x + 2y = [tex]180^{o}[/tex] ............. 4
7y = 360
y = [tex]\frac{360}{7}[/tex]
y = [tex]51.4^{o}[/tex]
substitute the value of y in equation 1,
x + 3y = [tex]180^{o}[/tex]
x + 3(51.4) = [tex]180^{o}[/tex]
x + 154.2 = [tex]180^{o}[/tex]
x = [tex]180^{o}[/tex] - 154.2
x = [tex]25.8^{o}[/tex]
Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]
Select all the equations that represent functions that are non-linear.
A. y = x
B. 2y = 1/2x
C. y = 8 + x
D. y - 6 = x^2
E. y= 1/3-5x
F. y= 2x^2 + 5 - 3x^2
Answers
Answer:
D, F.
Step-by-step explanation:
D and F contain x^2.
Find the slope of the line perpendicular to AB. A(3, 5) and B(3, -8).
Answers
Answer:
m = 0
Step-by-step explanation:
AB has a slope of y2 - y1 / x2 - x1 so -8-5/3-3 so -13/0 = undefined so it is a vertical line, so any line that is horizontal will be perpendicular to it, so horizontal lines have a zero slope
Un estudiante reparte el tiempo de un día de la siguiente forma:
1/4 del día duerme,
1/12 del día lo usa para desplazarse caminando hasta el colegio, 5/12
del día lo usa para estudiar. ¿Qué parte del día le queda para compartir con su familia?
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Answer:
4 horas para compatir com su familia
Mhanifa can you please help? This is due soon. Look at the picture attached. I will mark brainliest!
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Answer:
84° 125°Step-by-step explanation:
Sum of the interior angles of a regular polygon:
S(n) = 180°(n - 2), where n- number of sidesExercise 4Pentagon has sum of angles:
S(5) = 180°(5 - 2) = 540°Sum the given angles and find x:
x° + 122° + 100° + 90° + 144° = 540°x° + 456° = 540°x° = 540° - 456°x° = 84°Exercise 5Hexagon has sum of angles:
S(6) = 180°(6 - 2) = 720°Sum the given angles and find x:
x° + 110° + 160° + 105° + 105° + 115° = 720°x° + 595° = 720°x° = 720° - 595°x° = 125°What is 2.4 as a fraction in simplest for?
Answers
Answer:
2 2/5
Step-by-step explanation:
2.4 = 2 4/10 = 2 2/5 (all you had to do is divide by 2)
The answer would be 2 2/5 (could also be 1.2 as a decimal)
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Step-by-step explanation:
The
2
is in the ones place, and the
4
is in the tenths place.
2.4
means two and four tenths. So in fraction form it is 2 4/10
Answer link
PLS HELP ASAP
Eleri mows grass in her neighborhood. She charges $35 per yard. Eleri offers a discount to repeat customers, where she charges $3 less than the previous time to cut the grass. Suppose Eleri is cutting your grass for the 8th time. Which explicit formula describes how much she will charge you?
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Select the correct answer.
Which value in this data set is an outlier?
4,5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9,7
O A. 1
OB.
N
O C.
3
D. 9
Answers
Answer:
answer is 1
Step-by-step explanation:
Evaluate.Evaluate.
8−2⋅3+7
Answers
Step-by-step explanation:
6×10
=60
niceeeeeeeeeeee
Please help.
Is algebra.
Answers
Answer:
#4 is B
#5 is also B
Step-by-step explanation:
i big brain
Answer:
4. b) [tex]4x^2-20xy+25y^2[/tex]
5. b) [tex]x^2+14x+49[/tex]
Step-by-step explanation:
4. [tex](2x-5y)^2[/tex]
First, one must rewrite the exponential equation as a multiplication problem,
[tex](2x-5y)(2x-5y)[/tex]
Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,
[tex]=(2x-5y)(2x-5y)\\\\=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)[/tex]
Now simplify the given expression,
[tex]=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)\\\\=4x^2-10xy-10xy+25y^2[/tex]
Combine like terms,
[tex]=4x^2-20xy+25y^2[/tex]
5.[tex](x+7)^2[/tex]
To solve this problem, one should follow the same series of steps as they did to solve the last expression. First, rewrite the exponential expression as a multiplication problem.
[tex](x+7)(x+7)[/tex]
Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,
[tex]=(x)(x)+(7)(x)+(7)(x)+(7)(7)[/tex]
Simplify the expression,
[tex]=(x)(x)+(7)(x)+(7)(x)+(7)(7)\\\\=x^2 + 7x + 7x + 49[/tex]
Finally, combine like terms,
[tex]=x^2+14x+49[/tex]
Does anyone know about this question I give brainless If you answer this correctly
Answers
Answer:
Side x = 2.12132 = 3√2/2
Step-by-step explanation:
I used a triangle calculator to find side x
which properties are being used to solve the question
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Answer:
Both commutative and associative
1. What is 5,509 rounded to the thousands place?
А
6,000
B
5,500
5,600
D
5,000
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Because the number before the 5 in the thousands place is equal to or greater than 5. Making it round up.
can someone help me I’m stuck on this and can’t figure it out
Answers
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
19.99 - 3.998(20%) = 15.992 which when rounded is 15.99
If an item is on sale for 60% off, that means you actually PAY _____% of the price.
Answers
Answer:
40%
Step-by-step explanation:
100-60=40
Help me please!! If you do you will get 25 points :)
Answers
Answer:
24 units by 15 units
Step-by-step explanation: To find how many units the length and width are, divide each by 5:
120/5 = 24
75/5= 15
For every 5 feet, there is 1 unit .
Find the missing length.
= ✓ [?]
C =
с
6
Pythagorean Theorem: a2 + b2 = c2
Enter
Answers
Answer:
Pythagoras theorem= 6 squared +11 squared
= 36 + 121
= 157
Step-by-step explanation:
9y8tyfstoylhlh
Find the median of the data.
93,81,94,71,89,92,94,99
Answers
Answer: 92.5
So to find median all we have to do is rearange it from low - high and get the middle number
71 81 89 92 93 94 94 99
So take this and you know the middle is right in between 92 and 93
71 81 89 92 | 93 94 94 99
All you have to do then is take the mean of 92 and 93 (so do [92+93]/2)
Answer is 92.5
Under her cell phone plan, Lily pays a flat cost of $40 per month and $4 per gigabyte.
She wants to keep her bill under $60 per month. Write and solve an inequality which
can be used to determine x, the number of gigabytes Lily can use while staying within
her budget.
Answers
Answer:
16
Step-by-step explanation:
60-44
The inequality is $40 + 4x < $60 and she has to spend 5 gigabytes to stay within her budget
Note that:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The total amount Lily has to spend has to be less than $60
The total amount she can spend can be represented with this equation
Flat cost + variable cost < $60
Flat cost = $40
Variable cost = cost per gigabyte x gigabyte
$4 × x = $4x
$40 + 4x < $60
To solve for x, combine similar terms
$4x < $60 - $40
$4x < $20
x < 5
A similar question was solved here: https://brainly.com/question/24492243?referrer=searchResults
A bird is flying 15 feet above sea level. A dolphin is swimming 3 feet below sea level. What is the difference in elevation? (I just need help checking again)
Answers
Answer:
18ft
Step-by-step explanation:
15+3=18
What is the measure of the other acute angle ?
Answers
Answer:
58
Step-by-step explanation:
Answer: 58°
Step-by-step explanation:
We know it's a right triangle, one of them must be 90°. The sum of the three interior angles are 180°, so we know the sum of the other two angles is 180 - 90 = 90°.
If one of the angles is 32°, another angle is 90 - 32 = 58°
It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Erica’s total profit?
Can i please get some help, I NEED A STEP BY STEP TO FULLY UNDERSTAND THE QUESTION AND YOUR ANSWER
Answers
Answer: $20.25
Step-by-step explanation:
If each cupcake is sold for $1, then all the cupcakes are sold together for $30. Now subtract 9.75 from 30 and you get 20.25.
Hope this helps :)
2.
It cost Enica $9 75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was
Erica's total profit?
Answers
Answer:
$8.75
Step-by-step explanation:
Cost price= $9.75
Selling price= $1.00
profit= C.P-.SP
= 9.75-1.00
= $8.75
Anyone know this and if do pls help
Answers
70% of the trip length, t, is 35 miles. Find t:
0.70t = 35. Dividing both sides by 0.70, we get:
35
t = ----------- = 50
0.70
The total trip length is 50 miles.
