The equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.
What is the area of the rectangle?The area of the rectangle is the product of its length and its breadth.
As it is given that the length of the rectangular frame is (2x+10), while the width of the rectangular frame is (2x+6). Also, it is mentioned that the area of the rectangular frame is 140 in².
Now we know the area is the product of length and breadth, therefore,
[tex]\rm \text{Area of rectangle} = length \times breadth[/tex]
[tex]140 = (2x+10)(2x+6)\\\\140 = 4x^2 + 12x + 20x + 60\\\\0=-140+4x^2 + 12x + 20x + 60\\\\4x^2 + 32 x -80=0[/tex]
Hence, the equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.
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Answer:
A.) 4x2 + 32x − 80 = 0
Step-by-step explanation:
Just took the test
Which expression is equivalent to (q^6)^2
○ q^3
○ q^8
○ q^12
○ q^36
btw, its not q^36
SYSTEM OF EQUATIONS- I struggle with this
Person A wants to order a bunch of shirts. One website charges 9.65 per shirt, plus a set up fee for $43. Another company charges 8.40 per shirt plus a $58 fee. But what number of shirts would the cost be the same? Why?
Answer:
12 shirts
Step-by-step explanation:
First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.
To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.
"One website" - 9.65 per shirt, plus a set up fee for $43
y = 9.65x + $43
"Another company" - 8.40 per shirt plus a $58 fee
y = 8.4x + $58
See attached for the graph.
They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.
What is 2+4(4x49=4+39(563x7=
Answer:
Step-by-step explanation:
2+4(4x49)=4+39(563x7)
2+4x196=4+39x3941
2+784=4+153699
786=153703
This equation is
not possible because
786≠153703
3. What is the measure of the angle?
20 degrees
70 degrees
160 degrees
250 degrees
Answer:
160 degrees
Step-by-step explanation:
We can split up the angle into two sections:
One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).
So we just add them two together
70+90=160
what is the way to find inverse of matrix?
Formula for inverse of matrix:
matrix → inverse matrix
[tex]A = \bold{ \sf { \begin{pmatrix}a&b\\ c&d\end{pmatrix} \ \ \ \rightarrow \ \ A^{-1} = \dfrac{1}{(ad-bc)} \begin{pmatrix}d&-b\\ -c&a\end{pmatrix} }}[/tex]
You pick a card at random.
3 4 5 6
What is P(not 6)?
Write your answer as a fraction or whole number.
Answer:3 or 3/10
Step-by-step explanation:
Which statements are true? select three options. the population density for city b can be found using the ratio 48,592 : 26. the population density for city d can be found using the ratio 258 : 196,429. city a has the greatest population density of the four cities. the population density of city b is greater than that of city c. city d has the lowest population density of the four cities.
The three statements truly define the conditions are 1,3 and 4.
What is population density?The number of individuals of a species in a certain geographic location is known as population density.
Data on population size may be used to quantify demographic information as well as to analyze links with habitats, people's health, and transportation.
The population density is given as the ratio of population per unit area;
[tex]\rm population \ density= \frac{population}{Area}[/tex]
For the different cities the population density is found as;
For city a
[tex]\rm P_A = \frac{2,19514}{1553} \\\\ \rm P_A = 1413.98[/tex]
For city b
[tex]\rm P_B =\frac{48,592 }{26} \\\\ \rm P_B =1868.15[/tex]
For city c
[tex]\rm P_C = \frac{ 1,257,676}{999} \\\\ \rm P_C = 999[/tex]
For city d
[tex]\rm P_D = \frac{196,429}{258} \\\\ \rm P_A = 761.35[/tex]
The three statements defining the condition will be;
The population density for city b would be 48,592:26.
The population density for city b is more than city c.
The city d contains the lowest population density
Hence the three statements true will be 1,3 and 4.
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Which problem solving strategy would be best to solve this problem?
Four people are in line at the movie theater. Jennifer is ahead of Jeanie. John is not first or last in line. Jarett is directly in front of Jennifer. Name the order in which the people are standing in line.
A. guess, check and revise
B. compute or simplify
C. work backwards
D. write an equation
Answer:
C. work backwards
Step-by-step explanation:
I did it
simplified?
0.0007 - (4.9 × 10^-7)
A.
4.8993 × 1^0-7
B.
6.9951 × 10^-7
C.
2.1 × 10^-4
D.
6.9951 × 10^-4
Answer:
Option B
Step-by-step explanation:
Given the following question:
In order to find the answer, we need to convert the scientific notation into standard notation and then simplify by subtracting the decimals. Then we convert the standard notation back into scientific notation.
[tex]0.0007 - (4.9\times 10^{-7} )[/tex]
[tex]4.9\times10^{-7} =0.00000049[/tex]
[tex]0.0007-0.00000049[/tex]
[tex]0.0007-0.00000049=0.00069951[/tex]
[tex]=0.00069951[/tex]
[tex]0.00069951=6.9951 \times10^{-7}[/tex]
[tex]=6.9951 \times10^{-7}[/tex]
Your answer is "6.9951 × 10^-7" or option B.
Hope this helps.
Need lots of help today image below more questions to come
Answer:
I believe this is what they are asking on your problem.
compute (5 2/3)^2-(4 1/3)^2
Answer:
40/3
Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.
Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2 if AB = 18, find EF
Answer:
A... 12
Step-by-step explanation:
What is the volume of the right rectangular prism?
Answer:
[tex]\boxed{\sf{140}}[/tex]
Step-by-step explanation:
A rectangular prism's volume must be determined in order to solve this problem.
Remember to use this rectangular prism formula:
[tex]\sf{V=l*w*h}[/tex]
L=7 in
W=5 in
H=4 in
Multiply.
7*5*4=140
140 in
Therefore, the correct answer is 140.
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
V = 140 cubic units
We can split this equation into multiple steps to solve:
7 x 5 x 4 =
(7 x 5) x 4 =
35 x 4 = 140
Therefore your answer would be:
140 cubic units
Otherwise, known as option C.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
What are the new coordinates of the figure above if it is rotated 90 degrees clockwise about the origin ?
A. A’(1,-3), B’(1,-7),C’(-3,-7),D’(-3,-3)
B. A’(-3,-1),B’(-7,-1), C’(-7,3) D’(-3,3)
C. A’(-3,-1),B’(-7,-1),C’(-7,3),D(-3,3)
D.A’ (1,-3),B’(1,-7),C’(3,-7),D’(3,-3)
Answer: A
Step-by-step explanation:
round 763 to the nearist ten
Answer:
760
Step-by-step explanation:
Answer:
760 of course
Step-by-step explanation:
3 is below 5 so its 760
If the last digit was a 5 or higher,it'll be 770
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
The ordered pair (–3, 7) is viable.
The ordered pair (0, 4) is viable.
The ordered pair (7, 0) is non-viable.
The ordered pair (12, 3) is viable.
Answer:
D
Step-by-step explanation:
X must be positive as you cannot have a negative amount of people and neither X and Y could be 0. (In this case (7, 0) could have been viable but the choice says non-viable.) This means the answer is (12,3).
The ordered pair (12, 3) is viable is correct answer.
What is ordered pair?"Ordered pair is defined as the two numbers or variables which is written in form of pair using parenthesis."
According to the question,
Number of visitors = x
Number of winners = y
Relationship given,
Number of visitors and hole in one winners.
Negative value cannot be part of number of visitors or winners.
Therefore,
(-3,7) is not the correct ordered pair.
'x' and 'y' value cannot be equals to zero as per the condition given.
(7,0) is non viable.
Therefore,
(0,4) and (7,0) is not the correct ordered pair.
(12,3) represent both positive value as per the condition.
Hence, the ordered pair (12, 3) is viable is correct answer.
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What is the radius of the circle with equation (x + StartFraction 1 Over 5 EndFraction) squared + (y minus two-fifths) squared = StartFraction 1 Over 25 EndFraction? StartFraction 1 Over 25 EndFraction unit StartFraction 2 Over 25 EndFraction units One-fifth unit Two-fifths units
Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of [tex]\frac{1}{5}[/tex].
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is given by:
[tex]\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}[/tex]
Hence, the radius is found as follows.
[tex]r^2 = \frac{1}{25}[/tex]
[tex]r = \sqrt{\frac{1}{25}}[/tex]
[tex]r = \frac{1}{5}[/tex]
More can be learned about the equation of a circle at https://brainly.com/question/24307696
Answer:
c 1/5
Step-by-step explanation:
A company that produces cell phones has a cost function of C = 4x^2 - 107x + 4322, where C is the
cost in dollars and c is the number of cell phones produced in thousands). How many units of cell phone
(in thousands) minimizes the cost function?
Based on the cost function, the company that produces cell phones can minimize the cost function at 13.4 cell phones.
What number of cell phones are sold at the minimized cost function?To minimize the cost function, you should differentiate it.
= 4x² - 107x + 4322
dC/dx = 0
8x - 107 = 0
Solving gives:
8x = 107
x = 107 / 8
= 13.4 cell phones
Find out more on cost functions at https://brainly.com/question/2292799.
I need help with number 13 please hurry
Answer:
a+b
-------
4
Step-by-step explanation:
Please help! I don't know what answer b is, but i know a, thank you.
They are corresponding angles
Step-by-step explanation:
We know that x=75⁰ because
[tex]180 - 105 = 75[/tex]
75⁰ is angle EFB
Since we know this, and because we know that AD//EH,
We can conclude that x=75⁰(AD is parallel to EH and angle CBA or x and angle EFB are corresponding angles)
If ∠GHJ≅∠IHJ and GJ=99, what is IJ?
Answer:
99
Step-by-step explanation:
Triangles GJH and IJH are congruent, so GJ=IJ=99.
Angle A and angle B form a vertical angle pair. The measure of angle A is six less than twice times the measure of angle B. Find the measure of each angle.
Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.
What is vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
Vertical angles are congruent to each other . Vertical angles share the same vertex.
Therefore, angle A and angle B are congruent because they are vertical angle pair.
Therefore,
∠A≅∠B
let
∠B = x
Therefore,
∠A = 2x - 6
Therefore,
x = 2x - 6
x - 2x = - 6
-x = - 6
x = 6
The measure of each angle is 6 degrees.
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A cube pyramid has 7 at its base and 9.4 for its height what is the answer?
Answer:
Assuming this is volume, the answer is 153.33
Step-by-step explanation:
In a cube pyramid, the sides of the base are all the same, so if one side is 7, all of them are seven. To find the area of the base, the formula Area=Length x Width is used. Because the base is a square, the formula is simplified into Area=Side Length x Side Length. This gives us 49. The next step is to multiply this base times the height, 9.4, which is 460.6. However, this is the volume of a rectangular prism with those dimentions. A pyramid is a third of a rectangular prism. So, the answer is multiplied by 1/3, which is 153.33.
Hope this helps
Line of reflection
just the graph
rectangle GHIJ with vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4)
Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)
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Find the missing value in the table
(Ignore all the writing I did already I think it’s wrong but I’m not sure)
Answer:
1.
+4
number: 11
2.
x × 3
number: 48
3.
+5
number 46
4.
÷2
number: 19
5.
-1.5
number: 19.5
6.
-0.2
number: 31.2
The area of a circle is 36π cm². What is the circumference, in centimeters? Express your answer in terms of π
Answer: [tex]12\pi[/tex]
Step-by-step explanation:
The formula for area of a circle is [tex]\pi r^2=A[/tex]
The formula for circumference of a circle is [tex]2r\pi=C[/tex]
Where r is the radius
A is area
C is circumference
Knowing this we can sub our values in and solve for r in the formula for area
Divide both sides by [tex]\pi[/tex] to isolate r
[tex]\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36[/tex]
Take the square root of both sides
[tex]r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6[/tex]
Now sub the value of r into the formula for circumference
[tex]2r\pi =C\\2(6)\pi =C\\12\pi[/tex]
Answer:
[tex]12\pi \: c \: m[/tex]
step by step explanation:
[tex]area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm [/tex]
The perimeter of the big wheel of a bicycle is 9 cm longer than the perimeter of the front wheel. On the road of 120 cm, the big wheel does 12 less rotations than the front one. Find the perimeters of each wheel.
PLEASE HELP I'VE BEEN STUCK ON THIS FOR WEEKS!!!
Answer:
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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.
Easy
Solution
verified
Verified by Toppr
Radius of the wheel =r=
2
60
=30 cm
Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
Distance covered in 1 revolution =
7
1320
cm
Distance covered in 140 revolutions =
7
1320
×140=26400 cm=264 m=
1000
264
km
Distance covered in one minute = Distance covered in 140 revolutions =
1000
264
km
Distance covered in 1 hour =
1000
264
×60=15.84 km
Hence, the speed with which the boy is cycling is 15.84km/hr.
Help can somone help please.
Answer:
0.7
Step-by-step explanation:
5(9n-6)
5×9n-5×6
45n-30
45n/45 -30/45
or 45n÷45-30÷45
n= 0.6666
0.7
hope dis helps!!!!!
Write the following as an inequality
X is greater than -9 and less than 9
use x only once in your inequality.
Answer:
-9 < x < 9
Step-by-step explanation: "<" is the symbol for "less than". -9 is less than x, or x is greater than -9. x is less than 9.
50 POINTS 50 POINTS please help me with these 5 questions attached pictures
Step-by-step explanation:
the first graph
0=|x+2| f(0)=|0+2|
|x+2|=0 f(0)=|2|
x+2=0 f(0)=2
x=-2
Answer:
First graph X=-2