The perimeter of the rectangle shown is 96 feet. Determine the length and width of the rectangle.
Answers
Answer:
45
Step-by-step explanation:
detrain of the value they was given
Answer:
Length = 37 feet
width = 11 feet
Step-by-step explanation:
First, let us find the value of x.
They've already given that the perimeter of this rectangle is 96 feet.
So,
4x - 7 + 4x - 7 + x + x = 96
10x - 14 = 96
10x = 96 + 14
10x = 110
Divide both sides by x.
x = 11 feet
And now we can find the value of the width and length.
Given that,
Length = ( 4x - 7 ) ⇒ ( 4 × 11 - 7 )
44 - 7
37 feet
Width = x ⇒ 11 feet
Let me know if you have any other questions :-)
Related Questions
Item 12
Solve the system of linear equations by substitution.
y−x=0
2x−5y=9
Answers
One solution to a quadratic function, h, is given.
-4 + 7i
Which statement is true?
A. Function h has no other solutions.
B. The other solution to function h is -4 − 7i.
C. The other solution to function h is 4 − 7i.
D. The other solution to function h is 4 + 7i.
The answer isn't A. Function h has no other solutions.
I hope this helps.
Answers
Answer:
B. The other solution to function [tex]h[/tex] is [tex]-4-i\,7[/tex].
Step-by-step explanation:
From Algebra, we remember that quadratic functions of the form [tex]a\cdot x^{2}+b\cdot x + c[/tex] has solutions of the form:
[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex], where both are complex if and only if [tex]\sqrt{b^{2}-4\cdot a \cdot c}< 0[/tex].
Hence, if one solution of the quadratic function is [tex]-4+i\,7[/tex], then the other solution is [tex]-4-i\,7[/tex]. The correct answer is B.
Answer: it’s B
Step-by-step explanation:
I got it right
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were
12,454 total votes, how many no votes were there?
Answers
Answer:
Step-by-step explanation:
4,790
Dante drove 594 miles in 9 hours. If he traveled at a steady speed, how far did he drive per hour?
Answers
Explanation: If Dante were to drive 594 miles at a steady speed in 9 hours we need to divide to find how many miles Dante drives in one hour. 594 / 9 = 66. Dante drove 66 miles per hour
find the value of x in the figure
Answers
Answer:
Option (4)
Step-by-step explanation:
By applying triangle sum theorem in ΔABC,
m∠A + m∠B + m∠C = 180°
80° + 40° + m∠C = 180°
m∠C = 180° - 120°
m∠C = 60°
Since, ∠ACB ≅ ∠DCE [Vertically opposite angles]
m∠DCE = m∠ACB = 60°
Now by applying triangle sum theorem in ΔCDE,
m∠DCE + m∠CED + m∠CED = 180°
60° + 70° + x° = 180°
x = 180 - 130
x = 50°
Therefore, Option (4) will be the answer.
if cos x = sin(20+x) degrees and 0 degrees < x < 90 degrees, the value of x is
Answers
Answer:
x = 35°
Step-by-step explanation:
From the question given above:
cos x = sin(20 + x)
The value of x can be obtained as follow:
cos x = sin(20 + x)
Recall:
sin(A + B) = sinAcosB + cosAsinB
Therefore,
sin(20 + x) = sin20cosx + cos20sinx
cos x = sin(20 + x)
cos x = sin20cosx + cos20sinx
Collect like terms
cos x – sin20cosx = cos20sinx
cos x(1 – sin20) = cos20sinx
Divide both side by cosx
(1 – sin20) = cos20sinx / cosx
Recall:
Tan x = sinx / cosx
(1 – sin20) = cos20tanx
Divide both side by cos20
(1 – sin20) / cos20 = tanx
(1 – 0.3420) / 0.9397 = tanx
0.658 / 0.9397 = tanx
0.7 = tanx
Take the inverse of tan
x = tan¯ 0.7
x = 35°
3. Verify that the function
satisfies the three
hypotheses of Rolle's
Theorem on the given
interval. Then find all
numbers c that satisfies the
conclusion of Rolle's
Theorem.
y=-x² + 8x – 17
[3,5]
Answers
Solve:
3 (x + 4) - 5 (x - 1) < 5
Answers
Answer:
x＞6
Step-by-step explanation:
-2x+17＜5
2x＞12
x＞6
Check all solutions to the equation. If there are no solutions, check 'None."
x² = 64
Answers
solve the following equation: 7/8 = -7
Answers
Answer:
lets just say -8
Step-by-step explanation:
PLEASE HELP ME ASAP!!
Answers
Answer:
Equation 8+4 12+4 16+4 M=8 B=20 Your welcome
Step-by-step explanation:
Express this rate as a unit rate: $50 for 4 days of work. Note: You must label your unit rate.
Answers
Answer:
12.50 dollars per day
Step-by-step explanation:
This is a fraction equal to
50 dollars ÷ 4 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4
50 dollars ÷ 4
4 days ÷ 4
=
12.5 dollars
1 day
=
12.5 dollars
day
= 12.5 dollars per day
Find the ordered pair that represents the vector from A(9,2) to B(-6,3). Then find the magnitude of AB
Answers
Pls help extra points
Answers
Answer:
9^7
Step-by-step explanation:
9 x 9 x 9 x 9 x 9 x 9 x 9 = 9^7
The "^" symbol means the number behind it is an exponent btw!
HELP HELPP HELP I WILL GIVE BRAINLEST WORTH 18 POINTS
Which equation can be used to calculate the area of the shaded triangle in the figure below?
A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.
A. 2(16 × 6) = 192 square feet
B. 2(16 + 6) = 44 square feet
C. 1 over 2.(16 × 6) = 48 square feet
D. 1 over 2.(6 + 16) = 11 square feet
Answers
Answer:
D
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Which expression is equivalent to 4/9 times 7
Answers
Answer:
4/9 * 7 =3.11111111
Step-by-step explanation:
4/9 * 7 =3.11111111
Answer:
7 times 4/9
Step-by-step explanation:
Its simple lol
Directions: Match the product and quotients estimates below with the correct expression on the left
35 x 23
132168
173 X 18.4
999 208
998 x 211
11 10x20 170x180
11100020
11 1303170
11 1000 210
Answers
Answer:
Answer is in attached image.
Step-by-step explanation:
Given the expressions, for which we have to find the estimates as per the expressions on the left.
The given expressions are:
1) 35 [tex]\times[/tex] 23
2) 132 [tex]\div[/tex] 168
3) 17.3 [tex]\times[/tex] 18.4
4) 999 [tex]\div[/tex] 208
5) 998 [tex]\times[/tex] 211
Here, we need to find the rounded off numbers.
35 can be rounded to 40 and 23 to 20.
Therefore, equivalent to 35 [tex]\times[/tex] 23 is 40 [tex]\times[/tex] 20
132 can be rounded to 130 and 168 to 170.
Therefore, equivalent to 132 [tex]\div[/tex] 168 is 130 [tex]\div[/tex] 170.
17.3 can be rounded to 17.0 and 18.4 to 18.0.
Therefore, equivalent to 17.3 [tex]\times[/tex] 18.4 is 17.0 [tex]\times[/tex] 18.0.
999 can be rounded to 1000 and 208 to 210.
Therefore, equivalent to 999 [tex]\div[/tex] 208 is 1000 [tex]\div[/tex] 210.
998 can be rounded to 1000 and 211 to 210.
Therefore, equivalent to 998 [tex]\times[/tex] 211 is 1000 [tex]\times[/tex] 210.
The solution can be found in the attached image as well.
Scale 1 in=8 feet
So 1.24 in =
Answers
Answer:
9.92 feet or 9 feet 11 1/16 inches
Step-by-step explanation:
1.24X8 feet=9.92 feet or 9 feet 11 1/16 inches
can somebody please help me with this and explain it?
Answers
Answer:
7. No, because the x-value 11 has two y-values pair with it.
8. Not a function
Step-by-step explanation:
If there is more than one y-values per x-value then it is not considered a function, same with Question 8.
8.)B it is not a function because the x values repeats (-3)
Hope this helps
Have a great day/night
2a - 3b = -11
a + 3b = 8
Answers
Answer:
b = 3 and a = -1
Step-by-step explanation:
You have your given equation:
2a - 3b = -11
a + 3b = 8
You need to find what a and b is.
To find b:
2a - 3b = -11
-2a - 6b = -16
I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.
So now your equation would look like this when you solve for b:
2a - 3b = -11
-2a - 6b = -16
-------------------
a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.
To find a:
2a - 3b = -11
a + 3b = 8
I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.
Your equation will look like this when you solve for a:
-2a + 3b = 11
-1a - 3b = -8
------------------
-3a = 3 then divide -3 to 3 which is -1 so a = -1.
Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.
1. 2(-1) -3(3) = -11
-2 - 9 = -11
2. -1 + 3(3) = 8
-1 + 9 = 8
Help me please it’s due today :/
Answers
Answer:
68 degrees
Step-by-step explanation:
This triangle is an isosceles triangle which means that two sides have equal lengths and when two sides have equal lengths that means that two angles are the same. so you add 56 and 56 together and you get a sum of 112. all triangles add up to a degree of 180, so you therefore subtract 112 from 180 which gives you an answer of 68 degrees , therefore x is 68
Select all the intervals where f is decreasing
Answers
One Answer: Choice C) 0 < x < 1
==================================================
Explanation:
Let's go through the answer choices one at a time.
Choice A represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.Choice B is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.In contrast, choice C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.Choice D is false because choice C was shown to be true.The correct option is C
What is a decreasing function?A function whose value decreases as the independent variable increases over a given range is called a decreasing function.
Considering the options :
A) it represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.
B) It is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.
In contrast, C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.
Hence, the correct option is 0 < x < 1
Learn more about decreasing function, click;
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Mr. Corsetti spends 2/3 of every year in Florida. How many months does he spend in Florida each year?
Answers
Answer:
8 estimate
Step-by-step explanation:
exact 7.98
3) 5.6 x 7.3
Use the expression to answer Rewrite the expression above using two whole numbers.
Answers
Explanation:
↓↓↓↓↓↓↓↓
First you had to multiply without the decimal points, and then you put the decimal point it should be the correct answer.
5.6 it has one decimal place.
7.3 it has one decimal place.
Therefore, the answer should be the two decimal places.
Answer⇒⇒⇒⇒⇒40.88
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
First of all, let’s answer this question just like that without converting anything:
5.6 * 7.3 = 40.88
So, we have our answer which is 40.88 but the question also tells us to answer this question using whole numbers instead of decimals so, what we are going to do is that we will multiply both 5.6 and 7.3 by ten so that we change them to 56 and 73.
Once we finish multiplying 5.6 and 7.3 together, we will take our answer and divide it by 100 (moving two spaces to the left of our answer) because we multiplied our two numbers by ten which is 2 decimal places do, when we get our answer, we will move back those two decimal places.
= 56 * 73
= 4088
= 4088 / 100
= 40.88.
So, in conclusion, we came up with the same exact answer!
Really glad that I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thank you so much!
PLEASE HELP!!
Maysa bought 9 kilograms of sugar for $10. How many kilograms of sugar did she get per dollar?
Answers
Answer:
0.9
Step-by-step explanation:
9÷10 =0.9 isisjsjsjsjjzjzjz
Which expression is equivalent to 3x + 6
Answers
Answer:
3x + 6 is equal to x + 2
Step-by-step explanation:
Answer: 3( x + 2)
Step-by-step explanation:
6
3x+6
3(x+2)
What is 3/100 times 3
Answers
Answer:
3/100 times 3 is 0.09 or 9/100
Answer:
0.09
Step-by-step explanation:
3÷100=0.03
0.03×3=0.09
Find the indicated term of each arithmetic sequence. 27th term: 59, 56, 53, 50....
Answers
Answer:
The 27th term is -22
Step-by-step explanation:
So we know 59 is the first term
and for every term, its -3
So multiply -3 by 27= -81
59-81
-22
write a polynomial function in it's factored form with zeros 5, -1, and 2
Answers
Answer:
[tex](x-5)(x+1)(x-2)[/tex]
Step-by-step explanation:
well as a general case we have
when we say that
[tex]x=y[/tex] it gives zero moving the y to the other side we have
[tex]x-y=0[/tex]
so in our case
[tex]\longrightarrow x-5=0\\\\\rightarrow x-(-1)=0\\\\\longrightarrow x+1=0\\\\\longrightarrow x-2=0[/tex]
just multiply the ones that have [tex]\longrightarrow[/tex]
and get
[tex](x-5)(x+1)(x-2)=0[/tex]
ASAP PLEASE. THANKS :)
What is the best way to determine whether a given point is a solution to a system of equations?
A. Substitute the x and y coordinates into one equation and check to see if they work.
B. Graph the equations and see if the point lies on both lines
C. Substitute the x and y coordinate into both equations and check to see if they work
D. Solve the system of equations and compare the answer to the given point
Answers
Substitute the x and y coordinate into both equations and check to see if they work is a best way to determine whether a given point is a solution to a system of equations.
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
The best way to determine whether a given point is a solution to a system of equations is to substitute the x and y coordinate into both equations and check to see if they satisfy the equation.
And if the solutions do not satisfy the equation that means given x , y are not the solutions.
And if the unknowns are the solutions of system of the equation that
means the pair of point lies in the graph.
Therefore the answer is option C.
To learn more about the system of equation;
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