The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice the length of the shorter side. Write and solve and inequality to determine the maximum length of the shorter side of the fence.
Answer:
The shortest side of the fence can have a maximum length of 80 feet
Step-by-step explanation:
Inequalities
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:
[tex]2x + 2y \le 500[/tex]
The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:
[tex]2(10 + 2y) + 2y \le 500[/tex]
This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:
[tex]20 + 4y + 2y \le 500[/tex]
Simplifying:
[tex]20 + 6y \le 500[/tex]
Subtracting 20:
[tex]6y \le 500 - 20[/tex]
[tex]6y \le 480[/tex]
Solving:
[tex]y \le 480 / 6[/tex]
[tex]y \le 80[/tex]
The shortest side of the fence can have a maximum length of 80 feet
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Answer:
2 cups of venigar to 4 cups of water
Step-by-step explanation:
its right
Answer:
B 2 cups of vinegar to 4 cups of water
Step-by-step explanation:
YOU'RE WELCOME
If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.
The price of one share of a company’s stock declined $13.89 every day for 2.5 days. What was the stock’s total decline in price?
Which estimate uses compatible numbers to estimate the problem?
What is the exact answer?
Answer:
-$14(2.5) & -$34.73
Step-by-step explanation:
Which estimate uses compatible numbers to estimate the problem?
✔ -$14(2.5)
What is the exact answer?
✔ -$34.73
Answer:
answer is above
Step-by-step explanation:
Wes is 4 years older than his sister. Let x be his sister's age. Write an expression that tells how old Wes is.
x+4
if x is Wes' sister's age, then it would be x + 4 since Wes is 4 years older.
Find the value of a
Answer:
a=60
Step-by-step explanation:
since there are 6 total "a" values (2 angles worth just a, 2 angles worth 2 a)
you divide the total angle number by 6: 360/6=60
a=60
hope this helps!! <3
Find its notation:
(x +6, y + 3)
Answer: i know the answer but i cant write it all on here
Step-by-step explanation:
Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?
Answer:
10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.
Kaelyn has 4 nickels
5. Simplify the expression
-4(2x - 3)
ASAP NEED HELP PLS
Answer:
-8x + 12
Step-by-step explanation:
It is asking us to simplify. Therefore, we multiply the terms. -4(2x - 3) =
- 8x + 12
Answer:
-8× + 12
Step-by-step explanation:
-4x (2x - 3) simplify
Apply the distributive property
-4 (2x) - 4 × -3
multiply 2 by -4
-8x -4 × -3
multiply -4 by -3
= -8x + 12
The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?
Answer:
250 berries
Step-by-step explanation:
Berries : Oranges = 10 : 1
Let the number of berries = x
10 : 1 = x : 25
Product of means = 1*x = x
Product of extremes = 10 * 25 = 250
Product of means = product of extremes
x = 250
250 berries
gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?
the answer is 5 dimes and 1 nickel.
hope this helps <3
Answer:
4 = dimes and 2 = five cents
Step-by-step explanation:
a What fractions can you find that are equivalent to 2/3?
Answer:
4/6
Step-by-step explanation:
The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9
what is the answer to f(-5)=x^2-5
Answer:
32
Step-by-step explanation:
Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm} 3 1 cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour.
This question is Incomplete
Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?
Answer:
9 cm
Step-by-step explanation:
The depth of snow = 10cm
Rate of melting = 1/3 cm per hour
1 hour = 1/3 cm
3 hours = x cm
Cross Multiply
= 3 hours × 1/3cm = 1 hour × x cm
x cm = 3 hours × 1/3cm/1 hour
x cm = 1 cm
Hence in 3 hours, 1 cm of snow would have melted.
Therefore, the depth of the snow on Cherry Street after 3 hours is
10cm - 1 cm
= 9 cm
ILL GIVE BRAINLIST IF RIGHT ASAP
Answer:
Because the side lengths of the triangles are proportional.
Step-by-step explanation:
I took geometry.
Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft
Answer: the answer is no
Step-by-step explanation:
no, it is not a right triangle
Step-by-step explanation:
39 square+32.5 square=48.5 square
1,521+1056.3=2, 352.3
2577.3=2352.3
it's not the same so the result it no
CAN SOMEPLZ HELP ME I RLY NEED HELP
Will give brainlest please help! ASAP!
What vocabulary words can you use to describe 36 and 27?
Answer:
Divisible by 3 and 9
Step-by-step explanation:
Answer
multiples of 3 and 9
Step-by-step explanation:
3*12=36
9*3=27
9*4=36
PLEASE HELP, WILL MARK BRAINLIEST!! Olives are sold at the supermarket salad bar. A customer scoops the olives into a container and pays by weight, but the price he pays is reduced to account for the weight, but the price he pays is reduced to account for the weight of the container (the tare weight). The prices for two different total weights are given in the table. What is the y-intercept?
Solve the inequality. Q No. 1
-2(x - 5) < -x + 3
Answer:
x>7
Step-by-step explanation:
-2(x - 5) < -x + 3
-2x + 10 < -x + 3
-2x + x < 3 - 10
-x < -7
-x / -1 < -7 / -1
x > 7
Answer:
X < 7
Step-by-step explanation:
Which is simplified form of the expression (6-2•65)-3
Answer:Answer:
The simplified form of this is 6^-9
Step-by-step explatnation
In order to find this, we first complete the operation inside the parenthesis. In this case, since it is multiplication, we add the exponents.
6^-2 x 6^5 = 6^3
Now that we have the simplified inside we multiply exponents using the parenthesis.
(6^3)^-3 = 6^-9
Step-by-step explanation:
URGENT pls help I literally don’t understand how to do this
Step-by-step explanation:
Hope this helps, cheers!!!
Please answer the top half ASAP I need it in 2h please
Answer:
4/76/1112/1719/3010/177/1511/288/217/323/493/71/24/75/223/73/41/31/103/81/23/84/765/1688/2140/634/31/29/79/521/44Farmer Phil needs to treat a field with potash and nitrogen. He knows he needs 308 pounds of potash and 330 pounds of nitrogen. He can use Grow Rite brand and Great Green Brand. Grow Rite has 4 pounds of potash and 5 pounds of nitrogen per bag. Great Green has 7 pounds of potash and 6 pounds of nitrogen per bag.
Answer:
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Step-by-step explanation:
The number of bags of Grow Rite brand = x
The number of bags of Great Green brand = y
The equation is given as:
4x + 7y = 308....... Equation 1
5x + 6y = 330....... Equation 2
Using Elimination method.
Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2
4x + 7y = 308....... Equation 1 × 5
5x + 6y = 330....... Equation 2 × 4
20x + 35y = 1540..... Equation 3
20x + 24y = 1320....... Equation 4
Subtract Equation 3 from Equation 4
11y = 220
y = 220/11
y = 20 bags
4x + 7y = 308....... Equation 1
4x + 7(20) = 308
4x + 140 = 308
4x = 308 - 140
4x = 168
x = 168/4
x = 42 bags
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
PLEASE HELP ME WITH THIS MATH PROBLEM FOR 26 POINTS AND BRAINLIEST AND EXTRA POINTS IF YOU GET THE BRAINLIEST FIRST!!!!! THIS IS VERY URGENT!!
Answer:
The answer is C [ the third choice]
Step-by-step explanation:
Answer: I'm not sure what the answer is so I'd either choose :
C.) n > 6/7 or
D.) n > - 6/7
can you write 19,509,000,000 in scientific notation move the decimal)
Answer:
= 1.9509 × 10^10
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
what’s the simplified value of 12.4x(-6.3)
Answer:
-78.12
Step-by-step explanation:
Answer: u just divide the small number to the big number and add and get ur answer that is -78.12
Step-by-step explanation:
a european made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Search instead for a eurapean made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Answer:
$36.9735831
rounded: $36.97
Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.
y = (x +
)2 +
Answer:
y = (x + 3)^2 + 1
Step-by-step explanation:
100% on edge
Have a nice day :]
The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
What is the vertex form?The vertex form of an equation is a quadratic equation, written in the form of a parabola
The equation is given as:
[tex]y = x^2 + 6x + 10[/tex]
Write out the constant
[tex]y = (x^2 + 6x) + 10[/tex]
Take the coefficient of x
[tex]k = 6[/tex]
Divide by 2
[tex]k/2 = 3[/tex]
Square the expression
[tex](k/2)^2 = 9[/tex]
So, we have:
[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]
Rewrite as:
[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]
[tex]y = (x^2 + 6x + 9) + 1[/tex]
Express as a perfect square
[tex]y = (x + 3)^2 + 1[/tex]
Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
Read more about vertex forms at:
https://brainly.com/question/26738087