The high school athletics department is installing a new rectangular addition to their current practice field. The length of the new addition will be at least 10 meters more than twice the width of the new addition. The original field has an area of 300 square meters. The area of the entire practice field, with the addition, must be no more than 1,200 square meters.
If A represents the area of the entire practice field, including the new addition, and x represents the width of the new addition, in meters, which system of inequalities can be used to represent this situation?
Answers
Answer:
the answer is D
Step-by-step explanation:
The system of inequalities that best represents this situation provided A denotes the area of the entire field is: [tex]\mathbf{\left \{ {{A\geq 2x^2+10x+300 } \atop {A \leq 1200}} \right. }[/tex]
What are word problems?Word problems in mathematics are ways we can use variables, algebra notations, and arithmetic operations to solve real-life cases.
From the given information;
We have a new addition to the current rectangular field,
Let that new addition to the current rectangular field be xThe length of the new addition = 10xTwice the width of the new addition = 2x²The original area of the field = 300From the above information, we can derive a quadratic equation:
2x² + 10x + 300Also, we are given a constraint that the entire area of the practice field should be no more than 1200. i.e. It can be less than 1200 or equal to 1200.
Thus, the system of inequalities that best represents this situation provided A denotes the area of the entire field is:
[tex]\mathbf{\left \{ {{A\geq 2x^2+10x+300 } \atop {A \leq 1200}} \right. }[/tex]
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Related Questions
I'll GIVE BRAINLIEST!!
PLEASE HELP IF YOUR GOOD AT MATH!! I NEED THIS RIGHT NOW
Answers
Answer:
M=-7 and n= the square root of 2
Step-by-step explanation:
integers are counting numbers (1,2,3,4, etc.) that can be negative. irrational numbers' decimals go on and on and on, like 4.1946183538 and dont repeat, im pretty sure
A man wants to cut down a tree in his yard. To ensure that the tree doesn't hit anything, he needs to know the height of the tree. He measures his distance from the tree at 10 meters and angle of elevation to the tree at 54 degrees. What is the height of the tree to the nearest tenth of a meter?
Answers
Answer:
the height of the tree to the nearest tenth of a meter is 13.8 meters
Step-by-step explanation:
The computation of the height of the tree is shown below:
Given that
Distance from the tree is 10 meters
And, the angle of elevation of the tree is 54 degrees
Now here we used the trigonometry
[tex]tan \theta = \frac{Height}{distance} \\\\tan 54^{\circ} = \frac{height}{10}[/tex]
So, the height is
= 10 × 1.38
= 13.8 meters
hence, the height of the tree to the nearest tenth of a meter is 13.8 meters
which regression equation best models the data?
a) y= 7.57 sin(0.55x + 0.68) + 64.40
b) y = 7.57 sin(0.68x + 0.55) + 64.40
c) y= 7.57 sin(-0.55x + -0.68) + 64.40
d) y = 7.57 sin(-0.68x + -0.55) + 64.40
Answers
Answer:
C. y = 7.57 sin(–0.55x – 0.68) + 64.40
Step-by-step explanation:
Just got it right on edge
Answer:
ITS C STAN SKZ
Step-by-step explanation:
x/5=6/7 how do I solve for x?
Answers
Answer:
x=30/7
Step-by-step explanation:
you have to multiply both fractions by 5 to eliminate 5 from the first fraction(not the denominator of the second fraction) which makes the equation
x=30/7
Step-by-step explanation:
Isolate X first
[tex]\frac{x}{5} =\frac{6}{7}[/tex]
multiply both sides by 5 to get x on its own.
[tex]x =\frac{5*6}{7}[/tex]
simplify this fraction
[tex]x=\frac{30}{7}[/tex]
[tex]x = 4\frac{2}{7}[/tex]
There You go
Calculate the quotient. Simplify your results 2/7 divided 1 2/7
Answers
Answer:
1 4/7
Step-by-step explanation:
Find the vertex of the given function.
f(x) = 5x + 1 - 7
The vertex is at
Answers
Answer:
There is no vertex for this function since this is a slope formula. A vertex only occurs when there is a maximum or minumum of a given function, for example the quadratic formula with an x^2.
Step-by-step explanation:
3 + (2 + 8)2 + 4 X (4 | (2)
i need help
Answers
Answer: 1/2
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
Which is most likely the equation for the curre of best fit for the relationship?
Answers
How can the statement be rewritten as a conditional statement in if-then form? Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes. If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular. If lines are on a coordinate plane, then they are perpendicular. If lines are on a coordinate plane, then they have opposite reciprocal slopes. If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.
Answers
Answer:
The first option. "If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular."
Step-by-step explanation:
It is the only one that makes sense, tbh. But, it includes the proper "if-then" form like the question requests it have. It also incorporates all aspects of the original statement-
a.) lines on a coordinate plane
b.) perpendicular
c.) opposite reciprocal slopes.
You're welcome. :D
Answer:
Its A
Step-by-step explanation:
edge 2021
An equation is shown below: 5(2x-8) +15 = -15 write the steps you will use to solve the equation and explain each step
Answers
Answer:
5(2x-8)+15=-15
10x-40+15=-15
10x-25=-15
+25 +25 (add 25 to both sides)
____________
10x=10
divide by 10 on both sides
x=1
Answer:
x=1
Step-by-step explanation:
First youd distribute the 5 to the 2x-8 so that way you can combine like terms and make the equation smaller
10x - 40 + 15 = -15
combine the -40 and 15
10x - 25 = -15
add 25 to both sides to get 10x by itself on the one side. you have to add 25 to the -15 because the two sides must stay balanced
10x = 10
divide by 10 to get x by itself. you must divide since x is being multiplied by 10
x=1
In the figure shown, which composition of rigid motions will map one triangle onto the other?
A. a glide reflection
B. a reflection followed by a translation
C. two translations
D. a rotation followed by a translation
Answers
Answer: D. a rotation followed by a translation
A rotation followed by a translation describes the given transformation. Option D is correct.
Given that,
In the figure shown, which composition of rigid motions will map one triangle onto the other is to be discussed
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
A figure has shown,
Two triangles is given which are similar,
For the required trasformation one triangle is required to rotate following a certain translation,
Thus, a rotation followed by a translation describes the given transformation. Option D is correct.
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what is (5,12) reflected across the y-axis?
Answers
Answer:
-5,12 because its to the right obviously you rflect it to the left because its y axis and boom -5,12
Step-by-step explanation:
Answer:
(-5,12)
Step-by-step explanation:
because when you flip it across the y axis you change the first number in the coordinates
what are the measures of <1 and <2?
Answers
Answer:B
Step-by-step explanation:
Elisa tiene 60 almendras y 70 pistachos y los quiere repartir en bolsas de manera que todas tengan el mismo contenido y que no sobren ni almendras y pistachos.
¿ Cuántas bolsas puede llenar?
¿ Cuántas almendras y cuántos pistachos tiene que poner en cada bolsa?
Answers
Answer:
10 bags,6 almonds and 7 pistachiosStep-by-step explanation:
Elisa has 60 almonds and 70 pistachios and she wants to distribute them in bags so that they all have the same content and that there are no excess almonds and pistachios.
How many bags can you fill?
How many almonds and how many pistachios does she have to put in each bag?
=====================
Prime factors of the given numbers:
60 = 2*2*3*570 = 2*5*7LCM(60, 70) = 2*5 = 10
The greatest number of the bags is 10
Each bag will contain:
60/10 = 6 almonds and70/10 = 7 pistachiosSolve the inequality:
9-47 > 5
a.
b.
> 1
<-4
<1
C.
d. r <-1
Answers
Answer:
b
Step-by-step explanation:
Answer:
r < 1
-
1. Move the constant to the right
9- 4r > 5
2. Calculate
-4r > 5 - 9
3. Divide both sides
-4r > -4
4. Solution
r < 1
A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave
$10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is
A'Reana's weekly allowance?
Answers
Answer:
Answer: A'Reana's weekly allowance is $100
Step-by-step explanation:
Backward Solution
To solve some problems, we can work backward, using the inverse operations, to arrive at the solution.
The problem explains a sequence of expenses A'Reana does with her weekly allowance. In the end, she had $37.50.
That final balance came when she last spent $7.50 on a pizza. Thus, before that, she had $37.50+$7.50=$45
This balance is half of her previously remaining money. The other half was spent on a new shirt. Thus she had 2*$45=$90.
Those $90 were left after she gave $10 to her friend Taylor, thus, the initial money was $90+$10 = $100
Answer: A'Reana's weekly allowance is $100
Pleased help please please please please.
Answers
Answer:
40
Step-by-step explanation:
A meteorologist used the expression below to describe how the temperature changed.
Negative 5 + (negative 4)
Which statement could describe how the temperature changed?
The temperature was –5 degrees, then it increased 4 degrees.
The temperature was –5 degrees, then it decreased 4 degrees.
The temperature was 5 degrees, then it increased 4 degrees.
The temperature was 5 degrees, then it decreased 4 degrees.
Answers
Answer: the answer is C
Step-by-step explanation:
What's the square root of -3i
Answers
Answer:
-√-3
Step-by-step explanation:
Answer:The
Step-by-step explanation [tex]-\sqrt{-3}[/tex]
please help ill give brainliest
Answers
Answer:
d
Step-by-step explanation:
all of the others are no solution or multiple find them by eliminating variabls
what is 12.0 - 9.6= what
Answers
Answer:
Step-by-step explanation:
2.4
Answer:
2.4
Step-by-step explanation:
9.6 to 10 is .4
10 to 12 is 2
2+.4= 2.4
(That's how I do it mentally, sorry if it doesn't help with you)
7(3 + 4y) - 15y = 73
( Multi-step equations)
show work please and thank you
Answers
Answer:
Step-by-step explanation:
7(3+4y)-15y=73
21 plus 28y-15y=73
21 plus 13y = 73
13y=51
y=4
Step-by-step explanation:
Step 1: Multiply the 7 into the bracket.(make sure that your signs are correct)
Step 2: Minus the 21 from the 73.( Because when you take a value over the equal sign the value's sign changes)
Step 3: Minus 15y from 28y.
Step 4: Divide 52 by 13( because when you take the 13 over it divides ,because on the other side lf the equal the 13 multiples with the y)
What is the Celsius temperature for 144 degrees Kelvin
Answers
Answer:
144°K=-129.15°C
pls pls help.,.,.,.,.,.,.,.,.
Answers
Answer:
+5
Step-by-step explanation:
Answer:
y = -1/2 x + 1
Step-by-step explanation:
(-2, 2) and (4, -1) are points of the linear function, that will be described as:
y = ax + b
setting x=-2, y=2:
2 = -2a + b, so b = 2 + 2a
setting x=4, y=-1:
-1 = 4a + b ⇒ -1 = 4a + 2 + 2a ⇒ -3 = 6a ⇒ a = -1/2, b = 1
y = -1/2 x + 1
A TV has an original price of $499. If the price decreases by 10%, what is the new cost?
by the way i am in middle school
Answers
Answer:
The answer is 49.9
Step-by-step explanation:
499/10==49.9
Hope this helps
$449.10
I've attached a photo with my work :)
Seth earns $20 a day and $2 for each ticket he sells at the local theatre. Write and solve an inequality that can be used to find how many tickets he must sell in a day to earn at least $85.
Write an inequality.
Answers
Answer:
2x + 20 >_ 85
Step-by-step explanation:
In this equation, the 85 represents how much he needs to make. The greater than or equal to symbol is basically stating that he needs to make an amount greater than or equal to 85. Our variable, x, will tell us how many tickets he needs to sell, and the 2 represents how much each ticket sells for. 2x is just saying that each ticket sells for 2 dollars. The 20 is how much he makes on a daily basis without the ticket sales. We have to include that in the 85. That's where our equation comes from :)
Shopping: Discounts
Situation: You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much will you save?
Calculation With Distribution property. Show all work
Answers
Answer:
2.69
Step-by-step explanation:
Teresa wants to buy 2 new tires for her mountain bike.
Answers
Answer:
For her mountain bike she will have 2 tires
Step-by-step explanation:
Answer:
Yeah, then what?
you are travelling on a bus to camp which is 200miles away at 50mph.the number of miles,N,that you have left to travel after t hours
Answers
Answer:
N= 200-50t
Step-by-step explanation:
A button machine produces one button in 0.15 seconds. How many buttons are produced in 48.6 seconds?
48.6 divided by 0.15
Multiply the divisor and dividend by
.
The new division problem becomes
.
The quotient of 48.6 ÷ 0.15 is
✔ 324
.
Estimating to check, you get
.
Answers
Answer:
Multiply the divisor and dividend by
✔ 100.
The new division problem becomes
✔ 4,860 ÷ 15.
The quotient of 48.6 ÷ 0.15 is
✔ 324 .
Estimating to check, you get
✔ 5,000 ÷ 15 = 333.33.
Step-by-step explanation:
i did edg.
Answer:
100, 4860 divided by 15, 324, 5,000 divided by 15 equals 333.33
Step-by-step explanation:
I took math test and got this right
