Final answer:
To find the width of the rectangle, you can set up an equation using the given information and the formula for the area of a rectangle. Solve the equation to find the width of the rectangle, which is 9 units.
Explanation:
To find the width of the rectangle, we need to use the given information. We are told that the length of the rectangle is the width minus 3 units. Let's call the width of the rectangle 'w'.
So, the length of the rectangle is w - 3 units. The area of the rectangle is given as 54 square units. We can set up an equation using the formula for the area of a rectangle: Length x Width = Area.
Substituting the length expression into the equation, we get (w - 3)w = 54. Simplifying the equation gives us w² - 3w - 54 = 0. We can solve this quadratic equation to find the width of the rectangle.
Using factoring or the quadratic formula, we find that the width of the rectangle is 9 units.
If CJ=2x+3, CT=53, and JT=9x+6, find JT
If CJ is given 2x + 3, CT is given 53 and JT is given 9x +6, then the value of x by the solving the equation is 4. So the value of JT is 42.
Explanation:To find the value of JT, we first need to establish the value of x.
Given the equation CJ + JT = CT or 2x + 3 + 9x + 6 = 53.
We can simplify that by adding 2x and 9x and 3 and 6 together to give us 11x + 9 = 53.
We then subtract 9 from both sides of the equation which gives us 11x = 53 - 9 or 11x = 44.
Then by dividing both sides of the equation by 11 we solve for x, which gives us x = 44 / 11 or x = 4.
Now we can substitute the value of x into the equation JT = 9x + 6.
Substituting 4 for x gives us JT = 9 × 4 + 6 or JT = 36 + 6.
So JT = 42.
Therefore, the value of JT is 42 when the value of x is 4.
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The area of a rectangle is 4x+32. The length is 4. Find the width.
[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=4x+32\\ L=4 \end{cases}\implies 4x+32=4w \\\\\\ \cfrac{4x+32}{4}=w\implies \cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ (x+8)}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=w\implies \boxed{x+8=w}[/tex]
A number is doubled and then increased by nine. The result is seventy-five. What is the original number?
Please help. I’ll mark you as brainliest if correct!!!!
Answer:
33
Step-by-step explanation:
2x+9=75
2x=66
x=33
Therefore, 33
A newspaper survey says that 424 people, or 53% of the people surveyed,
enjoy walking through the park. How many people were surveyed?
To find the total number of people surveyed when 424 people represent 53% of respondents, divide 424 by 0.53, which equals 800. Thus, 800 people were surveyed.
The question asks to determine the total number of people surveyed given that 53% of respondents enjoy walking through the park, and this represents 424 people. To find the total number of people surveyed, we set up a proportion where 53% (or 0.53) corresponds to the 424 people who enjoy walking in the park.
Using the formula for calculating percentages, we have:
Total people surveyed = 424 / 0.53
We perform the division to find the total number surveyed:
Total people surveyed = 800
Therefore, 800 people were surveyed.
how do u find the value for y 6/8=y/16
Answer:
12 = y
Step-by-step explanation:
To make figuring this equation out easier, you will want to make all the fractions have the same denominator but stay equivalent to their original state. By this I mean, to get 6/8 to have the same denominator as y/16 but still be equivalent o 6/8, you will have to multiply it 2. That leaves you with 12/16 = y/16. Now that the equation has been modified, we can now solve it. You want to get the variable, y, isolated on one side of the equation. To do this, you want to multiply both sides of the equation by 16 since both sides of the equation are being divided by 16. This equation will look like this: 12/16 = y/16 --> 12 = y
I hope this helps
A student brought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to determine the cost of a bag of Chips,c
Answer:
x = 0.85
2 (1.25) + 3x = 5.05
Step-by-step explanation:
2 (1.25) + 3x = 5.05
2.5 + 3x = 5.05
3x = 2.55
what is 5% on $600 in sales
Answer:
Percentages can be reversed. For example:
600% of 5 is 30. Therefore $30 would be 5% of $600.
Step-by-step explanation:
The answer you are looking for is $30.
To find this answer, you must first make 5% a decimal. To do so, simply divide 5 by 100 to get 0.05. Lastly, multiply 0.05 by $600 to get $30. Thus making $30 your answer.
I hope this helps!
y=x+2
-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?
Solution:
Given system of equations are:
y = x + 2 ------ eqn 1
-3x + 3y = 6 -------- eqn 2
Solve the system of equations by substitution method
Substitute eqn 1 in eqn 2
-3x + 3(x + 2) = 6
-3x + 3x + 6 = 6
-3x + 3x = 6 - 6
0 = 0
If we end up with the same term on both sides of the equal sign, then we have infinite solutions
Thus the system of equations has infinitely many solutions
What is the quotient of -10 and -5?
Answer:
2.
Step-by-step explanation:
-10 divided by -5 is 2. The two negatives cancel each other out.
Answer:
two is the correct answer
Step-by-step explanation:
How many 1/5-cup servings are in. 3/4 of a up of icecream
Answer:
3.75 or 3 3/4
Step-by-step explanation:
first put them on a common denominator of 20
1/5=4/20
3/4=15/20
then do 15 divided by 4
15/4= 3.75 or 3 3/4
Luis knows that there are 16 cups in one gallon. How many cups will it take Luis to fill a 6 1/2 gallon bucket?
Answer:
104 CUPS
HOPE IT HELPS :0
The measure of BAC is 240. What is the ratio of the
measure of the major arc to the measure of the minor arc?
3:1
1:3
2:1
1:2
Answer:
C
Step-by-step explanation:
arc BOC=360-240=120
arc BAC: arc BOC::240:120 or 2:1
Answer:
the answer is C
Step-by-step explanation:
took the answer on the edge 2020
7/6 = ?/48 I just need the answer to this ASAP
Answer:
56
Step-by-step explanation:
6 X 8 = 48
7 X 8 = 56
Answer:
56/48
Step-by-step explanation:
you multiply both sides by 8.
TUVW is a rectangle. Find the value of x and the length of each diagonal if
TV = 2x -4 and UW = x + 10.
--
*show your work please & giving brainliest to correct answer*
Answer:
The value of x is 14
The length of each diagonal is 24 units
Step-by-step explanation:
Let us revise the properties of the rectangle
Each two opposite sides are parallel and equalIts four vertices are right anglesIts diagonals equal each other and bisect each otherIn rectangle TUVW
∵ TV and UW are its diagonals
∴ TV = UW
∵ TV = 2x - 4
∵ UW = x + 10
- Equate them to find x
∴ 2x - 4 = x + 10
- Subtract x from both sides
∴ x - 4 = 10
- Add 4 to both sides
∴ x = 14
The value of x is 14
Substitute the value of x in the expression of TV OR UW to find the length of each diagonal
∵ TV = 2(14) - 4
∴ TV = 28 - 4
∴ TV = 24 units
The length of each diagonal is 24 units
Final answer:
To solve for x, we equate the lengths of TV and UW, since they are opposite sides of a rectangle. Solving the equation yields x = 14. We then find the lengths of TV and UW (both 24 units), and use the Pythagorean theorem to calculate the length of the diagonal, which is approximately 33.94 units.
Explanation:
We are given that TUVW is a rectangle with sides TV and UW. We are also given that the lengths of these sides can be expressed as TV = 2x - 4 and UW = x + 10. Since TUVW is a rectangle, opposite sides are equal in length, so TV equals UW.
Setting the expressions for TV and UW equal to each other gives us:
2x - 4 = x + 10Solving for x:
2x - x = 10 + 4x = 14Now we can find the lengths of TV and UW:
TV = 2(14) - 4 = 24UW = 14 + 10 = 24Therefore, each diagonal of the rectangle is of the same length because diagonals of a rectangle are congruent. We can use the Pythagorean theorem to find the length of the diagonal:
Let d be the length of the diagonal:
d² = TV² + UW²d² = 24² + 24²d² = 576 + 576d² = 1152d = √1152d ≈ 33.94The length of each diagonal of the rectangle is approximately 33.94 units.
Determine the center and radius of the following circle equation:
x2 + y2 - 6x + 6y - 82 = 0
Center:
Radius:
Pls help :)
The center of the given circle is at (3, -3), and the radius of the circle is 10. This can be determined by rearranging the equation into the standard form and then completing the square for the x and y terms.
To determine the center and radius of the circle given by the equation x2 + y2 - 6x + 6y - 82 = 0, we need to rearrange it into the standard form of a circle equation, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius of the circle.
First, group the x terms and the y terms: (x2 - 6x) + (y2 + 6y) = 82.
Then, complete the square for both x and y terms: (x2 - 6x + 9) - 9 + (y2 + 6y + 9) - 9 = 82. This factors to (x - 3)2 + (y + 3)2 = 82 + 9 + 9.
Finally, calculate the right side to find the radius squared: (x - 3)2 + (y + 3)2 = 100, so the circle's radius squared is 100 and the radius is 10.
Therefore, the circle's center is at (3, -3), and its radius is 10.
Can you help me please?
Answer:
true
Step-by-step explanation:
hopes it helps♂️
20 points! Identify the solids that form the compos
s that form the composite solid. Then find the surface area.
Round your answer to the nearest tenth.
The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length ([tex]a^2[/tex]).
The cube's surface area = [tex]6a^2[/tex] = [tex]6(5^{2} )[/tex] = [tex]150[/tex] square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area = [tex]2 \pi r h+2 \pi r^{2}[/tex] = [tex]2 \pi (2) (4)+2 \pi (2)^{2}[/tex] = [tex]75.398[/tex] square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.
What is the slope of a line that passes through (2,-5) and (6,-2)? *
Answer:
Step-by-step explanation:
Answer:4/3
Step-by-step explanation:
Ivan got a job working at Carl's Jr. He makes $16 per hour. On Monday he worked 4hrs, on Wednesday he worked
3hrs and on Saturday he worked 8hrs. On Sunday he picked up his paycheck. His mom told him that he owed her for
the video game she bought him that cost $53.50. How much money did he have left after paying back his mom?
Answer:
186.50
Step-by-step explanation:
Find the product.
3.456 x (2.05 x 10") = ?
write each number from the box and the correct category shown in the table
Answer:
Rational:
0.75 (as a recurring number)
3.8
-12/7
Irrational:
sqrt. (3/8)
sqrt. (1/16)
sqrt. (10)
pi/2
Step-by-step explanation:
Rational numbers are parts of a whole, expressed as fractions, decimals, or percentages. They are finite, recurring, and real.
Irrational numbers have no end to their numbers, and there is no pattern to the numbers. Besides perfect square roots (like 4, 9, 16, 25, etc.), all square roots are likely irrational. Anything with pi is irrational.
Hope this helps!
Jack made 5 and 1/4 dozen cookies for the bake sale and his sister made 3 and 3/4 dozen cookies how many more cookies did jack make then his sister
Answer:
3 / 2 dozen
Step-by-step explanation:
5 + 1/4 - 3 + 3/4
21/4 - 15/4
6 / 4
3 / 2
In 2004, 520,000 acres of farmland in a region were devoted to growing nuts. By 2011, the number of acres used to grow nuts had increased to 850,000. Find the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011. The average rate of change was about acres per year. (Round to the nearest integer as needed.)
Answer:
see attachment
Step-by-step explanation:
The average rate of change in the number of acres used to grow nuts from 2004 to 2011 is approximately 47,143 acres per year when rounded to the nearest integer.
To find the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011, we can apply the formula for the rate of change, which is:
(Change in Quantity) / (Change in Time)
In this case, the quantity is the number of acres used for nut farming, and the time is the number of years between 2004 and 2011. The calculation is as follows:
Change in Quantity = Final value - Initial value = 850,000 acres - 520,000 acres = 330,000 acres
Change in Time = 2011 - 2004 = 7 years
Therefore, the average rate of change is:
Average rate of change = (330,000 acres) / (7 years) = 47,143 acres per year
Rounded to the nearest integer, the average rate of change is 47,143 acres per year.
Please help and explain how you answered it
Answer:
y = -5/7x -32/7
Step-by-step explanation:
To find the perpendicular line, it is the opposite opposite slope. this means that you change if it was positive or negative, and you flip the numerator and the denominator. so, because this slope is positive, you turn it to be negative. then you would switch the numerator and denominator, making the slope of the other line -5/7 (m). then you use y=mx + b to find the equation of the other line. you use (2,-6) and fill in the values to find be, so you would do
-6 = (-5/7)(2) + b so then you solve
-6 = (-10/7) + b
-32/7 = b
and then you fill in the y=mx +b to get y = -5/7x -32/7
Can someone help me with this? Thank you :)
Answer: The area of the shaded region is 150.72 km^2
Step-by-step explanation: The first bit of information we have is that both the inner circle and the outer circle have the same center. The radius of the inner circle can be calculated since we have been given the circumference (25.12) and the value of pi (3.14). The circumference of a circle is given as
Circumference = 2 x Pi x radius
With the values available, we now have
25.12 = 2 x 3.14 x radius
25.12 = 6.28 x radius
Divide both sides of the equation by 6.28
radius = 4
Having calculated the radius of the inner circle, the area now becomes;
Area = Pi x radius^2
Area = 3.14 x 4^2
Area = 3.14 x 16
Area = 50.24 km^2
The radius of the outer circle is the addition of 4 (on the shaded region) to the radius of the inner circle and that gives us 8.
Next we calculate the area of the outer circle which is
Area = Pi x radius^2
Area = 3.14 x 8^2
Area = 3.14 x 64
Area = 200.96 km^2
Now that we have determined the area of both the inner circle and the outer circle, the area of the shaded region is simply the difference between both of them, that is
Area of shaded region = 200.96 - 50.24
= 150.72 km^2
Convert 8% into a fraction
Answer:
8% = 8/100 = 2/25
Step-by-step explanation:
^^^^^^^^^
Answer:2/25
Step-by-step explanation:
8%=8/100=2/25
Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes No
Answer:
i believe that it is a function.
Step-by-step explanation:
you do not have any of the exact same numbers with arrows ot one another.
Answer:
It is a function
Step-by-step explanation:
Have a great day :) Dont forget to smile because you are AWESOME
Use the drop-down menus to complete each statement to describe the relationship between the number of yards and the number of feet.
The yard, whose symbol is yd, is standardized as 0.9144 meters since 1959. The unit system that use it is both the imperial and the US units. On the other hand, the foot, whose symbol is ft, is standardized as 0.3048 meter. It is also used by the imperial and US units. The relationship between these two units is:
[tex]1yd=3ft \\ \\ 1ft=1/3yd[/tex]
Please answer this correctly I have to finish this today as soon as possible
Answer:
Sheng
Step-by-step explanation:
Answer: Sheng
Step-by-step explanation:
First, you list the fraction of each of them. I then used the butterfly method to figure out whose fraction was smaller
What is an equation of the line that passes through the points
(
−
7
,
−
7
)
(−7,−7) and
(
−
5
,
−
3
)
(−5,−3)?
Answer:
y=x+0
Step-by-step explanation:
CHECK:
-7=-7+0
-7=-7
Yep
Answer:
y=2x+7
Step-by-step explanation:
I just did it