Answer:
The flower garden width would be 6 ft
Step-by-step explanation:
A = 12 ft^2 = x(x + 4) becomes:
x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0
Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16
Taking the square root of both sides yields x + 2 = ±4.
In this context only a positive x value makes sense: x = 2 + 4 => x = 6.
The flower garden width would be 6 ft. The other dimension would be 6 - 4, or 2, ft.
To find the width of the flower garden when the area is 12 square feet, the equation A = x(x-4) is used. Solving for x, the width of the flower garden is 6 feet.
To find the width of the flower garden when the area is 12 square feet:
Plug in A=12 into the equation: 12 = x(x-4)
Solve the equation for x by factoring or using the quadratic formula
The possible values for x are 6 and -2, but since width can't be negative, the width of the flower garden is 6 feet (B)
There are 25 students in the class. 36% of the students ate hot dogs for lunch. How many students ate hot dogs?
Answer:
25 * 36% = 9
Step-by-step explanation:
25 * .36 = 9
George is twice as old as Edward, and Edward’s age exceeds Robert’s age by 4 years. If the sum of the three ages is at least 56 years, what is Robert’s minimum age?
To find Robert's minimum age, we need to determine the ages of George and Edward first. Let's assume Edward's age is x. According to the information given, George is twice as old as Edward, so George's age is 2x. Edward's age exceeds Robert's age by 4 years, meaning Robert's age is x - 4. The sum of the three ages is at least 56 years, so we can write the equation x + 2x + (x - 4) >= 56.
Explanation:To find Robert's minimum age, we need to determine the ages of George and Edward first.
Let's assume Edward's age is x. According to the information given, George is twice as old as Edward, so George's age is 2x.
Edward's age exceeds Robert's age by 4 years, meaning Robert's age is x - 4.
The sum of the three ages is at least 56 years, so we can write the equation x + 2x + (x - 4) >= 56. Simplifying this, we get 4x - 4 >= 56. Adding 4 to both sides, we have 4x >= 60. Dividing by 4, we find that x >= 15.
Therefore, Edward's minimum age is 15 years, and Robert's minimum age is 15 - 4 = 11 years.
Generate an equivelent expression for 5 + 4 x 5 - 7
Answer:
9x2-18+18 or 18-18+9x2
Step-by-step explanation:
There are a couple ways to find this answer but these I recommend or this one: 9^2-70+7.
Learn with an example
A line has a slope of 4 and passes through the point (5, 10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Not feeling ready yet? These can help:
y = 4x - 10 is the equation of line with slope of 4 and passes through the point (5, 10)
Solution:
A line has a slope of 4 and passes through the point (5, 10)
The equation of line in slope intercept form is given as:
y = mx + c -------- eqn 1
Where, "m" is the slope of line and "c" is the y - intercept
Given that, Slope = m = 4
The line passes thorugh (5, 10)
Substitute m = 4 and (x, y) = (5, 10) in eqn 1
10 = 4(5) + c
10 = 20 + c
c = -10
Substitute c = -10 and m = 4 in eqn 1
y = 4x - 10
Thus the equation of line in slope intercept form is found
what is the approximate perimeter of the triangle below? Angle A is 50, Angle B is 60 and line CA is 90 in
Answer:
267.3 in.
Step-by-step explanation:
Using the Sine Rule:
90 / sin 60 = BC/ sin 50
BC = 90 sin 50 / sin 60 = 79.6 in.
Angle C = 180 - 50 - 60 = 70 degrees.
90 / sin 60 = AB / sin 70
AB = 90 sin 70 / sin 60 = 97.7 in.
So the perimeter = 90+ 79.6 + 97.7
= 267.3 in.
Answer: 267
Step-by-step explanation:
What is the exponent form of -6•6•6
Answer:
[tex]-6\cdot6\cdot6=-\underbrace{6\cdot6\cdot6}_{3}=-6^3[/tex]
Step-by-step explanation:
[tex]a^n=\underbrace{a\cdot a\cdot a\cdot a\cdot ...\cdot a}_{n}[/tex]
a rectangular parking lot has an area of 7/10 square kilometer the width is 1/3 kilometer what is the length of the parking lot written as an improper fraction in kilometers
Answer:
[tex]2\frac{1}{10}[/tex] km
Step-by-step explanation:
We are given;
The are of a rectangle as 7/10 km²Width of the rectangle is 1/3 kmWe are required to find the length of the rectangle;
We need to know how to find the area of a rectangle first;
Area of rectangle = Length × Width
Rearranging the formula;
Length = Area of rectangle ÷ Width
= 7/10 km² ÷ 1/3 km
We get;
[tex]=\frac{7}{10} *\frac{3}{1}[/tex]
[tex]=\frac{21}{10}[/tex]
[tex]=2\frac{1}{10} km[/tex] (improper fraction)
Thus, the length of the rectangular park is [tex]2\frac{1}{10}[/tex] km
The length of the parking lot is 21/10 kilometers. This is found by rearranging the formula of the rectangular area to solve for length, substituting the given values and simplifying.
Explanation:The problem is about finding the length of a rectangle when we know the area and the width. The formula of the area for a rectangle is the product of its length times its width. In this case, the area of the parking lot is 7/10 square kilometers and the width is 1/3 kilometers. The formula becomes: Area = Length * Width .
From this we can solve for length by dividing the area by the width, thus: Length = Area / Width. Substituting the values, we get: Length = (7/10) / (1/3), which simplifies to Length = (7/10) * (3/1) = (21/10) km.
So the length of the parking lot is 21/10 kilometers, or 2.1 kilometers written in decimal form.
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What is seven times the quotient of five and seven?( help fill in the blanks too plz )
Answer:
7÷5
1.4×5
Solution
7÷5=1.4
1.4×5=7
Si a=6, b=7.5 y c= -2, calcula:
a + 2b + 3c =
2a + 3b =
ab + c =
What is the answer to 2x + 6<30
Steps to solve:
2x + 6 < 30
~Subtract 6 to both sides
2x + 6 - 6 < 30 - 6
~Simplify
2x < 24
~Divide 2 to both sides
2x/2 < 24/2
~Simplify
x < 12
Best of Luck!
I need help MATH and i don't know how to do this?
Answer: 9 is the coefficient and 'y' is the variable.
Step-by-step explanation:
On Saturday morning , Owen earned $ 24 . By the end of the afternoon he had earned a total of $ 60 . Enter an equation , using x as your variable , to determine whether Owen earned $ 36 or $ 31 on Saturday afternoon .
Owen earned $ 36 on Saturday afternoon
Solution:
Let "x" be the amount earned by Owen between morning and afternoon
On Saturday morning , Owen earned $ 24
By the end of the afternoon he had earned a total of $ 60
From given information,
Amount earned on saturday morning + Amount earned on saturday afternoon = Total money earned
Therefore,
24 + x = 60
x = 60 - 24
x = 36
Hence Owen earned $ 36 on Saturday afternoon
Find a average daily rainfall for a 30 days month if the total rainfall during that period was 16.8 inches.
Average = 0.56 inches
Solution:
Given data: Total rainfall = 16.8 inches
Total number of days for a month = 30
To find the average of the rainfall.
Formula for average:
[tex]\text {Average}=\frac{\text {Sum of the observations}}{\text {Total number of observations}}[/tex]
[tex]\text {Average}=\frac{16.8}{30}[/tex]
= 0.56 inches
Average = 0.56 inches
Hence, average of daily rainfall is 0.56 inches.
15 POINTS
question 11
Option C:
[tex]y+6=\frac{3}{5} (x-4)[/tex]
Solution:
Given point (4, –6) and slope, [tex]m=\frac{3}{5}[/tex]
Formula for equation of a straight line when passing through the point [tex](x_1, y_1)[/tex] and slope m is [tex]y-y_1=m(x-x_1)[/tex]
Here, [tex]x_1=4, y_1=-6, m=\frac{3}{5}[/tex]
Substitute these in the above formula, we get
⇒ [tex]y-(-6)=\frac{3}{5} (x-4)[/tex]
⇒ [tex]y+6=\frac{3}{5} (x-4)[/tex]
Hence, [tex]y+6=\frac{3}{5} (x-4)[/tex] is the equation in point-slope form.
jenny's weight is 65kg. 1stone=14 pounds. what is jenny's weight in stonesand pounds
Answer:
910
Step-by-step explanation:
65×14=910
Plz hel I’ve got a test 2morrow ant if I don’t figure this out I’m fricked
I need 13 through 16
I'll do the first two problems (13 and 14) to get you started.
===========================================================
Problem 13
I'm going to use square blocks instead of marbles. The same idea applies either way. I'm using blocks because they are easier to draw out.
Draw 9 square blocks that are connected end-to-end forming a long chain. Write O in the first four blocks to represent "orange". Write G in the remaining 5 blocks to represent "green". See figure 1 in the attached image below.
This diagram represents the fact that the orange and green blocks form a ratio of 4:5. There are 4 parts that are orange and 5 parts that are green.
If we have 6 rows of these blocks (see figure 2), then we'll have 6*5 = 30 green blocks overall. This leads to 6*4 = 24 orange blocks. So far we have 30+24 = 54 blocks that are green or orange.
-----
Let x be the total number of blocks
40% of the total x is the number of yellow
40% of x = 0.40*x
60% of x is the remaining number
0.60*x = 54
x = 54/0.60
x = 90
There are 90 blocks total
40% of 90 = 0.40*90 = 36 are yellow
60% of 90 = 0.60*90 = 54 are either green or orange
-----------------
Final Answer: 36 yellow marbles===========================================================
Problem 14
Michael has 40 books. Susan has 50% more books than Michael. This means she has 1.5 times as many books
1.5*40 = 60
Susan has 60 books
If Michael buys 8 more books, then he will have 40+8 = 48, which is still less than 60. Susan still has more books.
-------
Let's compute the percentage difference
A = 48 is the amount of books Michael has
B = 60 is the amount Susan has
C = percent difference
C = 100*(B-A)/A
C = 100*(60-48)/48
C = 25%
Susan has 25% more books compared to Michael
-----------------
Final Answer: Susan will still have more books. She will have 25% more books after Michael buys those 8 books.Line m passes through the Point (2, 1) and has a slope of -2/7. What is the equation of Line m in standard form?
7x + 2y = 11
7x + 2y = 16
2x + 7y = 11
2x +7y = 16
Answer:
Step-by-step explanation:
Slope m = -2/7
Points are (2,1)
y1 = 1 and x1 = 2
y - y1 = m(x - x1)
y -1 = -2/7(x - 2)
Multiple each term by 7
7y - 7 = -2(x - 2)
7y - 7 = -2x + 4
7y = -2x + 4 + 7
2x + 7y = 11
What is the value of the expression 10 (n minus 6) when n = 14?
Answer:
The value of the expression is 80.
Step-by-step explanation:
14 - 6 = 8.
10 x 8 = 80.
Answer: 80
Step-by-step explanation:
Your original equation is 10(n - 6)
You know what the value of n is: 14
Now go into your equation since the value of n is 14, replace n with 14 giving you the expression
10(14 - 6)
Now do the subtraction inside the parentheses
10(8) = 80
That should be your answer I hope this helps you :)
Find the difference for the subtraction 7.211- 5.24
Answer:
1.971
Step-by-step explanation:
7.211 - 5.24 = 1.971
Answer:
1.971
Step-by-step explanation:
Temporarily add a zero at the end of 5.24, so both numbers have 3 decimal places. We get"
7.211 - 5.240, or
7.211
- 5.240
--------------
1.971
What expression is equivalent to 40 divided by 1/4
The expression which is equivalent to 40 divided by 1/4 is 40 × 4 or the value is 160.
Given expression is 40 divided by 1/4.
We have to find the value of the expression and the equivalent expression for this.
This is a division expression.
40 ÷ 1/4
We know that when a fraction is the divisor of a division problem, then the problem can be redefined into multiplication problem by taking the reciprocal.
So 1/4 is taken in to the reciprocal and becomes 4/1 = 4
So the expression is,
40 × 4 = 160
Hence the equivalent expression is 40 × 4.
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w+6≤−3 solve the inequality
To solve the inequality, isolate/get w (the variable) by itself in the inequality
w + 6 ≤ -3 Subtract 6 on both sides
w + 6 - 6 ≤ -3 - 6
w ≤ - 9
Evaluate the expression -3 - -5+6
Answer:
-2
Step-by-step explanation:
-3+-5=-8+6= -2
Area Compound Shapes Answer Key for Worksheet
Answer:
I dont now cause it depends on what you teacher asks of you
The formula for the perimeter of a rectangle is p=2(l+w). If the width of a rectangle is half its length, how many times its length is its perimeter??
Answer:
2
Step-by-step explanation:
if you take half of something then you divide my 2
Final answer:
The perimeter of a rectangle whose width is half its length is three times the length of the rectangle. This can be calculated using the formula p = 2(l + w), substituting w with l/2, which simplifies to p = 3l.
Explanation:
The student is asking how many times a rectangle's length is its own perimeter if the width of the rectangle is half its length. Using the formula for the perimeter of a rectangle, which is p = 2(l + w), and knowing that the width (w) is half the length (l), we can substitute w with l/2.
Hence, the formula becomes p = 2(l + l/2) = 2(3l/2) = 3l. Therefore, the perimeter is three times the length of the rectangle.
15 POINTS
Question 6
Write an equation of a line with the given slope and y-intercept.
m = 1, b = 4
a.
y = 4x + 1
b.
y = x + 4
c.
y = x – 4
d.
y = –1x + 4
Answer:
B
Step-by-step explanation:
y = mx + b
m = 1
b = 4
y = 1(x) + 4
y = x + 4
1 cup of smoothie an I drink 1/3 of it how much is left
Answer:
2/3
Step-by-step explanation:
1-1/3=3/3-1/3=2/3
Nine more than the quotient of b and 4
Answer:
b/4+9
Step-by-step explanation:
Simplify and determine the coefficient of (-x)(5y)(-2x).
A. -4
B. 1/5
C. 1
D. 4
Answer: 10
Step-by-step explanation:(-x)(5y)(-2x)
=(-5xy)(-2x)
=10x^2y
therefore,the coefficient of the equation is 10.
who hates usatestperp
Answer:
I do
Step-by-step explanation:
Factor the following quadratic expression completely : 64x^2
- 121
64x^2-121
Rewrite 64x^2 as 8x^2
Rewrite 121 as 11^2
Now you have 8x^2-11^2
Use the difference of squares formula, a^2- b^2 = (a+ b)( a-b) where a= 8x and b = 11
Answer is:
(8x+11)(8x-11)
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=8x and b=11
.
(8x+11)(8x−11)
Step-by-step explanation: