The dimensions of the border is 1.5 feet for the garden
A rectangle is a quadrilateral with four sides and four angles in which opposite sides are equal and parallel.
The area of a rectangle = Length * breadth
Given that length of garden = 16 ft., width of garden = 12 ft.
It is surrounded by a mulch of width x, hence:
New length = 16 + x + x = 16 + 2x
New width = 12 + x + x = 12 + 2x
The area of garden = 16 + 2x(12 + 2x) = 192 + 56x + 4x²
Since the maximum area is 285 ft, hence:
192 + 56x + 4x² = 285
4x² + 56x - 93 = 0
x = 1.5 feet
The dimensions of the border is 1.5 feet
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The sum of a number times 8 and 23 s greater than or equal to -20
Write n as a fraction in simplest form.
Step-by-step explanation: Anytime you want to operate fractions like that you need them to have the same denominator. You can get that easily if the denominator is presented as the product of its factors, like in your problem.
What is the greatest common factor of 64xyz−36xy+24x?
1) Find the Greatest Common Factor (GCF).
4x
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4x(\frac{64xyz}{4x} +\frac{-36xy}{4x} +\frac{24x}{4x})[/tex]
3) Simplify each term in parentheses.
[tex]4x(16yz-9y+6)[/tex]
The greatest common factor of equation A = 64xyz - 36xy + 24x is 4x
A = 4x ( 16yz - 9y + 6 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
A = 64xyz - 36xy + 24x
Now , the Greatest Common Divisor is the highest number that divides exactly into two or more numbers. It is also expressed as GCF
So , the equation A can be factorized as
Taking 4x as the common term of the equation , we get
A = 4x ( 16yz - 9y + 6 )
So , the common term is 4x and the greatest common factor of the equation A is 4x
Therefore , the GCF is 4x
Hence , The greatest common factor of equation A = 64xyz - 36xy + 24x is 4x and A = 4x ( 16yz - 9y + 6 )
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i really need help pls help me
Answer:
x = 12
Step-by-step explanation:
For q and r to be parallel, then
11x - 28 and 7x - 8 are same-side interior angles and sum to 180° , so
11x - 28 + 7x - 8 = 180 , simplify left side
18x - 36 = 180 ( add 36 to both sides )
18x = 216 ( divide both sides by 18 )
x = 12
the truck travels 31 miles in one hour. at that rate, how far can the truck go in 18 hours ?
____ miles
Answer:
558 miles
Step-by-step explanation:
You would just take 31 and times it by 18 which would give you 558 miles :)
Hope this helps you :)
Have an amazing day <3
Answer:
558 miles.
Step-by-step explanation:
31 x 18 = 558 !
What is the solution to x 4 – 12x 2 + 10 > 0?
Answer:
X>5/4
Step-by-step explanation:
What is the solution to x 4 – 12x 2 + 10 > 0?
find the gcf of 18 and 16
Answer:
2
Step-by-step explanation:
Factors for 18: 1, 2, 3, 6, 9, 18
Factors for 16: 1, 2, 4, 8, 16
Common factors are: 1, 2. 2 is the greatest digit in this case so this is your final answer.
(Please someone help me!) (No links!)
Answer: 1 4/5 / 2/7 = 63/
10
= 6 3/10
= 6.3
Step-by-step explanation:
Conversion a mixed number 1 4/
5
to a improper fraction: 1 4/5 = 1 4/
5
= 1 · 5 + 4/
5
= 5 + 4/
5
= 9/
5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/
5
= 5/
5
b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9
c) Write a previous answer (new numerator 9) over the denominator 5.
One and four fifths is nine fifths
Divide: 9/
5
: 2/
7
= 9/
5
· 7/
2
= 9 · 7/
5 · 2
= 63/
10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
7
is 7/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - nine fifths divided by two sevenths = sixty-three tenths.
Answer:
Box 5= 9
Step-by-step explanation:
Step1: convert 1 4/5 to a fraction. 9/5
9/5÷2/7
Step2: use the KCF method (keep, change, flip) you'll keep the 9/5 then you'll change the ÷ to x, then you will flip the 2/7 to7/2
9/5 x 7/2= 63/10
Box 5= 9
Steve works as a football referee for 10 hours a week, and as a bus driver for 30 hours per week.if both jobs pay $21 per hour,how much does Steve earn each week?
Answer:
$840
Step-by-step explanation:
First, add 30 to 10.
Then, multiply your answer (40) by 21.
Finally, you get your final answer of $840.
Identify each part of the expression. 2x^3+5 What is the coefficient?
Answer:
2
Step-by-step explanation:
The coefficient is the number next to the variable. In this instance, the coefficient is 2.
A scatter plot is shown:
What type of association does the graph show between x and y?
Answer:
B
Step-by-step explanation:
Solve the equation or formula for the variable specified
x=3y-9, for y
Answer:
y=1/3x+3
Step-by-step explanation:
Translate the sentence into an equation.
Twice the difference of a number and 2 is 9.
Use the variable w for the unknown number.
Answer:
2(w-2) = 9
Step-by-step explanation:
Check:
2w - 4 = 9
2w = 13
w = 6.5
2(6.5 - 2) = 9
2(4.5) = 9
9 = 9
unas pinzas se usan para sacar una espina que opone 0,5N de resistencia. la pinza mide 8 cm y la presion de ejerce a 4 cm de fulcro.
Answer:
its 12cm
Step-by-step explanation:
I really need help!
6. 4a - 6b
7. 9a - 3b
My teacher wants me to simplify these, but I cant solve them. I have even tried a calculator and it says no like terms.
Answer:
6. 2(2a-3b) 7. 3(3a-b)
Step-by-step explanation:
6. 4a-6b , 2^2 .a-(2.3)b = 2(2a-3b)
7. 9a-3b , 3^2. a-3b =3(3a-b)
a pigeon can fly at a speed of 87 km per hour. how long does it take the pigeon to fly 7 km?
Answer:
84/1=7/x 84x=7 x=7/84 x=5 minutes
Step-by-step explanation:
help me plez the question is on the picture
Answer:
2 x 5 x 5 x 5 x 5
Step-by-step explanation:
Since it is stated 2 times 5 to the power of 4, then we would write it out as:
2 x 5 x 5 x 5 x 5
Step-by-step explanation:
2(5)^4- Since we go by PEMDAS (please excuse my dear aunt sally, or parenthesis, exponent, multiplication, division, addition, and subtraction) and there are no parenthesis, we see there is an exponent in this equation
To solve for an exponent multiply a number however many times the exponent tells you to... In this case 5^4 would be the same as:
5 x 5 x 5 x 5, which is equal to 625.
- From there, multiply 625 x 2 to get 1250 because Multiplication comes next in Order of Operations/PEMDAS
When graphing a second
perpendicular line to a first line tell
me about the slope/m
please help me
here's a screenshot of the question
anna makes 45$ for 6 hours allison makes 50.75 for 7 hours both girls work for 10 hours which girl make more
Answer: anna would make more money; she would make $75
20 Points! Please help ;-;
solve for d: 2(5 - d) = 2 - 4d
Answer:
d=-4
Step-by-step explanation:
Answer:
d = -4
Step-by-step explanation:
Choose all the situations that are independent
A.Two cards are drawn (with replacement).
B.Die is thrown and a coin flipped.
C.A die is thrown and the same die is thrown again.
D.Two marbles are pulled from a deck (without replacement)
Answer: A and D
Step-by-step explanation: A and D are the only events in which only one type of object is used.
All the situations that are independent are B. Die is thrown and a coin is flipped, C. A die is thrown and the same die is thrown again and D. Two marbles are pulled from a deck (without replacement).
How do you calculate Probability?
The Probability of an event can be calculated through chance formulation via absolutely dividing the favorable quantity of outcomes through the overall wide variety of possible effects.
How do you provide an explanation for probability?Probability is the threat that something will show up, or how probable it is that an event will occur. when we toss a coin inside the air, we use the phrase possibility to refer to how likely it's miles that the coin will land with the heads aspect up.
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allus
Find the area of the circle.
Use 3.14 for T.
O
d = 12 ft
A = [?] ft2
A=Tr2
Enter
Answer:
Step-by-step explanation:
When solving the following quadratic equation by completing the square, what do you do to the "b" term (or 6)?
x2 + 6x - 3 = 0
If u=15, find 2u +10
Answer:35
Step-by-step explanation:
Its 350 becuase the 2u means 2x u
Answer:
40
Step-by-step explanation:
2(15)+10 = 40
when two numbers are next to eachother, it means multiplication
you have to replace u with 15
what is the sales tax on a $17,500 truck if the tax rate is 6%
Answer:
Your total should be 18,550 if the tax rate is 6%
Step-by-step explanation:
Hope this helps!
223=76-v solve for v
Answer:
v=-147
Step-by-step explanation:
This table isn’t proportional but the question says it is
Un puente colgante tiene un cable en forma de parábola. El puente se apoya en dos torres. Hay 136 metros de distancia entre las torres. Si el cable está a 17 metros de altura cuando está a 34metros de distancia del centro del puente, ¿cuál es la altura de una de las torres?
5.
Is the relationship shown by the data linear? If so, model the data with an equation.
x y
–7 5
–5 9
–3 13
–1 17
A. The relationship is linear; y + 7 = 1/2(x – 5).
B. The relationship is linear; y – 5 = -1/2(x + 7).
C. The relationship is linear; y – 5 = 2(x + 7).
D. The relationship is not linear.
Answer:
C. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
