Mathematics Middle School

A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of 54 square feet. If x represents the length, then the length can be found by solving the equation: x(x−3)=54x(x-3)=54 What is the length, x, of the garden?

I can't remember the steps to solving this.

Answers

Answer 1
x(x−3)=54
x^2 - 3x - 54 = 0
(x - 9)(x +6) = 0
x - 9 = 0 so x= 9
x + 6 = 0 so x = -6

x = 9 (length)
so width = x - 3 = 9 -3 = 6

answer
length = 9

double check
Area = LxW = 9x6 = 54





Related Questions

Alejandro has two marbles. One weighs 0.56 grams, and the other weighs 0.825 grams. How much more does the second marble weigh?

0.265 grams
0.355 grams
0.769 grams
1.385 grams

Answers

0.825-0.56

0.265 grams
.265 grams would be the correct answer

can someone please help me?

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B is the answer :))))
B is the answer. It is B

n someone answer this question for me please : how can I write repeated multiplication using powers ?

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You can rewrite the number as repeated multiplication and perform the multiplication.

The vertices J(2,6), K(7,8), L(9,3), and M(?, ?) determine a square. Show your work to find the coordinates of M. Use complete sentences and proper grammar to give a justification why JKLM is a square.

Answers

The sketch of the square JKLM is shown in the diagram below, which also tells us the coordinate of M = (4, 1). Plotting the coordinate on a graph is the most efficient way to work out the coordinate of M.

Mathematically, JKLM is a square because all of its four sides are equal in length. We also can justify by measuring the interior angles. A further method of justifying that JKLM is a square is by showing the lines connecting at each vertex are perpendicular.

the difference of 3 times a number and 20 is greater then 10

Answers

If the number is x, then 3 times x -20 >10 and 3x-20>10. Adding 20 to both sides, we get 3x >30 and by dividing by 3 we get x >10

Two equations are given below: m + 5n = 20 m = n − 4 What is the solution to the set of equations in the form (m, n)? (3, 7) (0, 4) (5, 1) (2, 6)

Answers

use subsitution


m+5n=20
m=n-4

sub n-4 for m in other equation

n-4+5n=20
6n-4=20
add 4 both sides
6n=24
divide by 6 both sides
n=4

sub back

m=n-4
m=4-4
m=0

(m,n)
(0,4)

Answer:

(m,n) = (0,4)

Step-by-step explanation:

We have

          m + 5n = 20 -----------------------eqn 1

          m = n - 4 ----------------------------eqn 2

eqn 1 - eqn 2

        m + 5n - m = 20 - ( n- 4 )

         6n = 24

           n = 4

Substituting in eqn 2

           m = 4 - 4

            m = 0

So the correct set is (0,4)

(m,n) = (0,4)

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.

A=(4-g) 1.5
B=(4-g) + 1.5
C= 4g-g(1.5)
D=(4-g)g

Answers

Answer:

A=(4-g) 1.5

Step-by-step explanation:

Let g be the amount of glycerin in the lotion.  We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.

The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.

Answer:

the awnser is A

Step-by-step explanation:

I did the test

Which set of side lengths is a Pythagorean triple?

Answers

D because it will fit into the equation and will make a 90 degree angle
D

11² = 121
60² = 3600
121 + 3600 = 3721
√3721 = 61

Describe how the sizes of the 1/2 strip and the 1/6 strip compare. Then descrube how the denominators of the fractions 1/2 and 1/6 are related

Answers

this is not an answer Although writing 500 word essay may seem to be an easy task, the process can be rather daunting and tough especially if you never had an experience of writing the 500-word essay before. If you fail to deliver a good paper, it may have rather negative consequences to the detriment of the education process. For this reason, you should be well-aware of writing rules for a 500-word essay in order to avoid possible academic obstacles and failures in future. We introduce some useful tips in case you want to complete the task by yourself. If you want to save time and be sure regarding the quality of the content, you are welcome to buy a 500-word essay format from our company.

In order to have a clear understanding of how to write 500 words essay, you need to have at least the foggiest idea of what 500-word scholarship essay actually is! Let’s have a closer look at this type of the academic assignment.

The 1/2 strip is larger than the 1/6 strip because dividing something into fewer parts results in larger parts. The relationship between the denominators 2 and 6 is based on the number of equal parts into which a whole is divided, with 6 being a multiple of 2, indicating smaller parts for 1/6.

To compare the sizes of the 1/2 strip and the 1/6 strip, we should visualize the strips as portions of the same whole. Imagine a bar divided into 2 equal parts; one of those parts is the 1/2 strip. Now imagine the same bar divided into 6 equal parts; one of those parts is the 1/6 strip. It's evident that the 1/2 strip is larger than the 1/6 strip because when you divide something into fewer parts, each part is larger.

The denominators of the fractions 1/2 and 1/6 are related through the concept of divisibility and the number of equal parts into which a whole is divided. The denominator 2 in the fraction 1/2 tells us that the whole is divided into 2 equal parts, while the denominator 6 in the fraction 1/6 indicates that the whole is divided into 6 equal parts. Because 6 is a multiple of 2, each part of the 1/6 strip is smaller than each part of the 1/2 strip.

WILLL GIVEEEEE BRAINLIEST PLZ HELPPPPPPPP!!!!!!!!

Answers

29 out of 74 do not like rap

29/74 = 0.39

31 out of 74 do not like hip hop

31/74 = 0.42

0.39+0.42 = 0.81

 answer is 0.81

It's 21/31, which is 0.677419355, or 0.68 when rounding 0.677. So the answer is o.68. The brailiest answer is mine.

what is a function?

Answers

it is an expression involving one or more variables

 examples:

2x +5

x^2

a+b


A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindrical glass that is 3 inches in diameter is filled to a height of 3.5 inches. Approximately how many glasses of this juice can be poured from a full container? Use π π = 3.14.

Answers

Volume of a rectangular prism is
V = length × width × height

The volume of the carton juice is
V = 4 × 4 × 8 = 128 in³

Volume of a cylinder is
V = Area of circular base × height = [tex] \pi r^{2} [/tex]×h, where [tex]r[/tex] is the radius of the circular base

The volume of the cylindrical glass is
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³

Hence, the number of glasses that can be filled with the juice from the carton is:

128 ÷ 24.7275 = 5.18 ≈ 5 glasses


great jobbb. very helpful i meant 5 stars lol my b

workers have painted 920 square feet of an office they have completed 80% of their job how many square feet do they need to. paint in all

Answers

80% = 0.80

divide the area done by the percentage:

920/0.80 = 1150

total area is 1150 square feet

Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2

Answers

The equations presented in the choices above are all derived from the Pythagorean theorem. This states that the sum of the squares of the two shorter sides is equal to the square of the longest side which is also referred to as the hypotenuse. 

If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A. 

Answer:

it is abtuse triangle

Step-by-step explanation:

no step

Simplify 5 • 2 • (–4) + 6 ÷ 2

Answers

Your answer is -37. (work from left to right)
PEMDAS
paranthesis
exponents/roots
multiplication/division
addition/subtraction

so your question: 5 x 2 x (-4) + 6 divided by 2

5 x 2 x (-4)= -40 
-40 / 2 = -20
-20 + 6 = -14

your answer is -14 

hope this helps :D

-6•(-18).......help this is due tomorrow

Answers

two positives multiplied together give us a positive answer. and 18 • 6 is 108.
108 is the answer
hope this helped, xx
-6·(-18)

Remember : A negative times a negative is a POSITIVE.

So, the negatives cross each other out.

So, we simply pretend that there are NO negatives in this question.

So, what is 6 × 18?

6 × 18 = 108

Therefore, -6·(-18) = 108

~Hope I helped!~

The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?

Answers

Assume the bigger number is x, since the difference is 18, another one should be x - 18

So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81

Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81

True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Answers

Final answer:

A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Explanation:

A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.



To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.



Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Learn more about Trapezoid here:

https://brainly.com/question/32048079

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Find the area of a triangle with a base of 10 meters and a height of 6 meters

Answers

A = (1/2)bh  [b = 10 m, h = 6 m]

A = (1/2) * 10 * 6 = 30 m²
area of triangle=1/2 times base times height
given
base=10
height=6

area=1/2 times 10 times 6
area=5 times 6
area=30 squaer meters

Write an expression that is equivalent to
(23.6-7.1a-4.2b)-(5.8b-9a)

Answers

Final Answer:

(23.6 - 9a - 5.8b)

Explanation:

Steps to simplify the expression:

Combine constant terms:

(23.6 - 7.1a - 4.2b) - (5.8b - 9a) = 23.6 - 7.1a - 4.2b - 5.8b + 9a

Group terms by variable:

(23.6 - 4.2b - 5.8b) + (-7.1a + 9a)

Combine like terms:

19.6 - 10b + (-7.1a + 9a) = 19.6 - 10b + 2a

Rewrite the expression with the simplified terms:

(19.6 - 10b) + 2a

Therefore, the equivalent expression is (19.6 - 10b) + 2a.

how many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon

Answers

Theoretically, you should be able to travel 396 miles on a full tank of gas. I found this by multiplying 22 and 18 because you can get 22 miles for every single gallon, and you have 18 gallons.

Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?

Answers

Four out of nine. There are 4 even numbers from 1-9
The answer is 4/9 because there are 4 even numbers between 1-9. And there are 9 cards

Verbal reasoning : Choose the most appropriate option to complete the statement . 'AC is to VJ as RO is to (??)'

Answers

MV is the answer. Because AC to VJ as RO is just MV

Solve the compound inequality. 7x > -35 and -5x > -50

Answers

7x > -35
x > -35/7
x > -5

-5x > -50
x < -50/-5
x < 10

-5 < x < 10 <==


Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 800 point score?

Answers

The formula to find the z score in a normally distributed set of data is: z = (x - ÎĽ) / Ď With ÎĽ being the mean, Ď being the standard deviation, and x being the score. Substituting these values into the formula gives us z = (800 - 500) / 100 = 3 The z-score of the 800 point score is 3.

do the opposite angles in a parallelogram have the same measure please explain why

Answers

Yes, opposite angles in a parallelogram always have equal measures. This is a defined property of parallelograms and an easy way to check if the shape is one. Since a parallelogram has 4 angles and the 2 sets of sides are parallel, any 2 adjacent angles have a sum of 180 degrees. Using this, the 2 adjacent angles to any one angle must be opposite to each other and therefore equal.
Final answer:

Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.

Explanation:

Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.

In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.

Learn more about Parallelogram here:

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Debbie needs to fill juice cups for her little brother's birthday party. There are 20 juice cups and each juice cup holds 10 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?

(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)

1 bottle
2 bottles
3 bottles
4 bottles

Answers

1 gallon = 4 qts

1 qt = 32 fl. ounces

 so 32 x 4 = 128 fl. ounce in a gallon

20 cups at 10 ounces each = 20*10 = 200 ounces needed

200/128 = 1.5625 gallons needed

she will need to buy 2 bottles

Which statement best describes the expression 3 + 2 ÷ y?

The quotient of y and the sum of 3 and 2
The quotient of the sum of 3 and 2 and y
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2

best answer will get BRAINLIEST!!!!!

Answers

Answer:

C. The sum of 3 and the quotient of 2 and y

Step-by-step explanation:

Given :  3 + 2 ÷ y

Solution:

First consider the BODMAS rule

solving any equation we need follow this sequence (BODMAS)

B - Bracket

O - Of

D- Division

M- Multiplication

A - Addition

S - Subtraction

So, in the given equation we first consider the division after that the addition

i.e. division of 2 by y (quotient of 2 and y) and then addition of 3  in the result of division of 2 by y

So, we can say it as The sum of 3 and the quotient of 2 and y

Answer:

The answer is just c

Step-by-step explanation:

A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs$22, what is the total cost of the indoor paint in storage?

Answers

3/5 of 35 = 21. $22 x 21 = $462

Rectangle ABCD is similar to rectangle JKLM. AB = 10, BC = 8, CD = 10, DA = 8, and JK = 15. The area of rectangle JKLM is ____u2

Answers

The area of rectangle ABCD would be 80.
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