Answer:D
Step-by-step explanation:
You subtract 8-3 which is 11c and then you add 2 to 6 which is 8
Answer:
5c+5, A
Step-by-step explanation:
This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.
Write and simplify a rational expression for the ratio of the perimeter to the area of rectangle if the width is 4x and the length is x+6
Answer:
5x + 6 : 2x² + 12x
Step-by-step explanation:
Width = 4x
Length = x + 6
Perimeter
= 2(4x + x + 6)
= 2(5x + 6)
Area
= 4x(x + 6)
Ratio of perimeter to area:
= 2(5x + 6) : 4x(x + 6)
= (5x + 6) : 2x(x + 6)
= 5x + 6 : 2x² + 12x
Answer:
(5x + 6) : (2x² + 12x)
Step-by-step explanation:
Perimeter = 2(length + width)
= 2[4x + x + 6]
= 2(5x + 6)
Area = length × width
4x × (x + 6)
4x(x + 6)
Perimeter : Area
2(5x + 6) : 4x(x + 6)
(5x + 6) : (2x² + 12x)
What type of triangle has exactly two acute angles?
right
obtuse
equilateral
acute
Answer:
right and obtuse
Step-by-step explanation:
a right triangle has one right angle and two acute angles, and an obtuse triangle has one obtuse angle and two acute ones
i hope that this helps :)
What is the answer to this equation? - (-5a^3)(2ab^3)
The answer is 10a^4b^3
Bao yu is completing the square to solve the polynomial epuation
X^2-x-3=0.
What should her first step be ?
Answer:
The first step would be to add 3 on both sides of the equation.
Step-by-step explanation:
Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;
x^2 -x -3 +3 = 0 + 3
x^2 - x = 3
Answer:
The first step of Bao yu is to isolate the constant
Step-by-step explanation:
For using completing the square to solve the polynomial equation, the equation should be of the type [tex]a^2 \pm 2ab +b^2[/tex] that can also be written as:[tex](a\pm b)^2[/tex]
so, for the given equation: [tex]x^2 -x -3 =0[/tex]
The first step should be to isolate the constant:
[tex]x^2 -x = 3[/tex]
Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x
so,by adding (1/2)^2 on both sides of equation, we can complete the formula:
[tex]x^2 -x = 3[/tex]
[tex]x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2[/tex]
Solving we get,
[tex](x- (\frac{1}{2}))^2 = 13/4[/tex]
So, the first step is to isolate the constant.
Consider the diagram below.
What is the measure of arc PD?
A. 35°
B. 90°
C. 110°
D. 180°
Answer:
(C) [tex]110^{\circ}[/tex].
Step-by-step explanation:
Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore
[tex]{\angle}FED=90^{\circ}[/tex].
Now, it is given from the figure that [tex]{\angle}FEP=35^{\circ}[/tex], therefore
[tex]{\angle}FED={\angle}FEP+{\angle}DEP[/tex]
[tex]90^{\circ}=35^{\circ}+{\angle}DEP[/tex]
[tex]{\angle}DEP=55^{\circ}[/tex]
Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore
[tex]{\angle}PCD=2{\angle}PED[/tex]
[tex]{\angle}PCD=2(55^{\circ})[/tex]
[tex]{\angle}PCD=110^{\circ}[/tex]
Thus, the measure of arc PD is [tex]110^{\circ}[/tex].
Hence, option (C) is correct.
The measure of arc PD is 110. So, The correct option is option C.
Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore
90° = 135° + ∠DEP
∠DEP = 50°
Now, here is given,
∠FEP = 35°
∠FED = ∠FEP + ∠DEP....(1)
Plug the value of ∠FEP = 35° in equation (1),
∠FED = 90
90 = 35 + ∠DEP
∠DEP = 55
∠PCD = 2∠PED
∠PCD = 2 (55)
∠PCD = 110
Therefore, the measure of arc angle PCD is 110.
Learn more about measurement here:
https://brainly.com/question/29272585
#SPJ6
Express 18^1/2 in simplest radical form
The simplified form of 18^1/2 is 3√2
Radical expressions and indicesGiven the exponential expression
18^1/2
According to power law of Indices:
a½ = \sqrt{a}
Applying this law to the given expression;
This can also be written as:
[tex]18^{1/2} =\sqrt{18}[/tex]
Simplify the radical to have:
[tex]\sqrt{18} = \sqrt{9 \times 2} \\\sqrt{18} = 3\sqrt{2}[/tex]
Hence the simplified form of 18^1/2 is 3√2
Learn more on radical expressions here: https://brainly.com/question/738531
please help me! this question is worth 30 points!
Answer:
1/k^4
Step-by-step explanation:
Which of the following statements are true?
1. The difference between -1.4 and -8.3 is positive.
2. -1.4 + 8 3 has the same value as the difference between -1.4 and -8.3.
3. The between -8.3 and -1.4 has the same value as the difference between -1.4 and -8.3.
A. 1 only
B. 1 and 2
C. All the statements are true.
D. None of the systems are true.
Answer:B
Step-by-step explanation:
The circle below is centered at the point (-3,4) and has a radius of length 3.
What is its equation?
A. (x+ 3)^2 + (x-4)^2 = 9
B. (x-3)^2 + (x+4)^2=9.
c. (x+4)^2 + (x-3)2 =3^2
D. (x-4)^2 + (x+3)^2 =3^2
Answer:
(x + 3)^2 + (y - 4)^2 = 3^2 = 9 This matches Answer A.
Step-by-step explanation:
Start with the standard equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
Here the given point (h, k) is (-3, 4) and the radius is 3.
Substituting these values into the above equation, we get:
(x + 3)^2 + (y - 4)^2 = 3^2 = 9 This matches Answer A.
Answer: (x-3)2 + (y+4)2 =9
Step-by-step explanation:
Michael starts with $45 in his savings account and adds $5 to the account each week .write an expression for the number of dollars in Michael's savings account after a week's (w is the variable). Assume no money is added or removed from the account.pls need help asap
Expression: 45+(5 x w)
Hope this helps man.
The expression for the number of dollars in Michael's savings account after w week's will be;
⇒ y = $5w + $45
Where, y is total amount and w is number of weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Michael starts with $45 in his savings account and adds $5 to the account each week .
Now,
Since, Michael starts with $45 in his savings account and adds $5 to the account each week .
Hence, After w weeks the total amount (y) is,
⇒ y = $45 + $5w
Thus, The expression for the number of dollars in Michael's savings account after w week's will be;
⇒ y = $5w + $45
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
geometric sequence
-48, 96, -192, 384, …
What about it? From least to greatest?
-192, -48, 96, 384
Jenna bought 6 pounds of apples for $7.38. What is the unit price per pound of apples?
Answer:
$ 1.23
Step-by-step explanation:
We are given that Jenna bought 6 pounds of apples for $7.38 and we are to find the unit price per pound of apples.
To find that out, we will simply divide the total price of apples by the number of pounds she bought.
Unit price per pound of apples = [tex] \frac { 7 . 3 8 } { 6 } [/tex] = $1.23
jose went jogging with sam. jose jogged 5/8 miles before resting. sam jogged 1/4 mile more before stopping. after resting, they continued jogging. each of them jogged a total distance of 2 1/5 miles. how far did sam job before stopping? what was the distance jose jogged after resting?
Answer:
7/8 miles63/40 or 1 23/40Step-by-step explanation:
1/4 = 2/85/8 + 2/8 = 7/8
2. 2 1/5 = 11/5
11/5 = 88/40
5/8 = 25/40
88/40 - 25/40 = 63/40
For this case we have to, if Sam ran [tex]\frac {1} {4}[/tex]of a mile more than Jose, then, before stopping he ran:
[tex]\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}[/tex]
I ran [tex]\frac {7} {8}[/tex]miles before stopping.
Now, Jose after resting ran ([tex]2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}[/tex]):
[tex]\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}[/tex]
Jose ran [tex]\frac {63} {40}[/tex]miles
ANswer:
[tex]\frac {7} {8}\\\frac {63} {40}[/tex]
Find the output, y, when the input, x, is -1.
Y = ?
When the input is -1, the output is 3
The answer is 3
In the given graph, the value of y at x = - 1 is 7.
This means that when the input x is - 1, the corresponding output y is 7. The graph visually represents the relationship between x and y, where each point on the graph corresponds to a specific x - y pair. When x takes the value - 1, the graph intersects the y-axis at the point (- 1, 7), indicating that the output y is 7.
In summary, for x = - 1, the associated output value y is 7, as shown by the graph's plotted point.
Learn more about function here
https://brainly.com/question/23658663
#SPJ2
4y+3y+8-5 simplify Plz help meh!
7y+3
combine like terms.
Hey there!
4y + 3y + 8 - 5
COMBINE the LIKE TERMS
= (4y + 3y) + (8 - 5)
= 4y + 3y + 8 - 5
= 7y + 3
Therefore, your answer is: 7y + 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
need answer... PLZ PLZ
Answer:
Option A is correct.
Step-by-step explanation:
The credit limit is $6000
New balance after the transactions = $ 3604.50
Available credit on Nikki's card = credit limit - New balance after the transactions
Available credit on Nikki's card = $6000 - $ 3604.50
Available credit on Nikki's card = $ 2395.50
So, Option A is correct.
PLEASE HELP ME FAST!
Answer:
50% chance
Step-by-step explanation:
There is a 50% chance because there in a 3/6 chance he will pick a number above 2
Can someone please help me ASAP?
Answer:
b. 3
Step-by-step explanation:
Box J has surface area 2(4.5 ft * 2 ft) + 2(3 ft * 2 ft) + 2(4.5 ft * 3 ft) = 57
Box F has surface area 6(3^2 ft) = 54 ft^2
The difference between the surface areas is: 57 - 54 = 3
b. diff = 3
[tex]
S_j=2\cdot(3\cdot2)+2\cdot(4.5\cdot2)+2\cdot(4.5\cdot3) \\ S_j=12+18+27=\underline{57} \\ \\
S_f=6\cdot(3\cdot3)=6\cdot9=\underline{54} \\ \\
S_j-S_f=57-54=\boxed{3}
[/tex]
The answer is 3.
darr has written 60% or 12 pages of his history report their wants to figure out how many pages he needs to write their work is shown below
The answer is 20 pages.
Hope this helps!
For this case we must make a rule of three to determine the number of pages to finish your work.
12 --------------> 60%
x ----------------> 40%
Where "x" represents the number of pages needed to complete the job:
[tex]x = \frac {40 * 12} {60}\\x = 8[/tex]
So, there are 8 pages left to finish their work. The total number of pages of the work is 20.
Answer:
You need to finish 8 pages out of a total of 20
an officer administrator earns 16$ an hour ,and she works 32 hours a week . what is her weekly wage
Answer: She makes $1632 a week.
Step-by-step explanation:
You multiply 16 times 32 and get your answer.
What is the answer to number 2.
Answer: The correct answer would be B.
Step-by-step explanation:
Because....
24 gets the variable because in total that's number of bottles that Marjorie bought. And each day she would open and drink 2 bottles of juice, which is the reason why you are subtracting 24d with 2.
* Hopefully this helps:) Mark me the brainliest:)!!
∞ 234483279c20∞
The answer is To number two is b
25 POINTS
I need help in calculating the total cost of packaging for both shapes, the image below:
Multiply your surface area by your cost/ square in. for your current cereal box to find the total cost of packaging. Then do the same with the new measurements for the new container.
Answer:
1. $21.60 2. 64.80
Step-by-step explanation:
I hope this helps :)
an arrangement of flowers originally priced at $46 is marked down to $35 what is the percent of decrease rounded to the nearest whole number
The answer is 24% I hope this helps : )
For this case we must make a rule of three:
$ 46 -----------------> 100%
$ 35 -----------------> x
Where "x" represents the percentage of the discounted cost.
[tex]x = \frac {35 * 100} {46}\\x = 76[/tex]%
We subtract to know how much was the discount percentage:
100% -76% = 24%
Thus, the discount percentage was 24%
ANswer:
24%
URGENT PLEASE HELP!!!!!
A plant is 13 inches tall and grows 2 inches a week. How many weeks will it take for the plant to be 23 inches tall?
Answer:
5 weeks
Step-by-step explanation:
So if the plant is 13 inches tall in the beginning every week adds 2 inches.
0 weeks = 13 inch
1st week = 15 inch
2nd week = 17 inch
3rd week = 19 inch
4th week = 21 inch
5th week = 23 inch
So it would take 5 weeks to grow 23 inches
Answer:
5 weeks for the plant to be 23 inches long
Step-by-step explanation:
You could take the size the plant is supposed to be, which is 23 inches long then subtract how tall the plant is which is 13 inches long then divide by 2 because the plant grows 2 inches each week. Or you could use a chart to help you, until you get to 23 inches. please give me the brainliest answer?
1weeks= 13 inches + 2 inches = 15 inches
2weeks= 15 inches + 2 inches = 17 inches
3weeks= 17 inches + 2 inches = 19 inches
4weeks= 19 inches + 2 inches = 21 inches
5weeks= 21 inches + 2 inches = 23 inches
:) Hope this helped!!! Have a good day!!! <3
One cube is 3 yards by 4 yards by 2 yards. Another cube is 3 feet by 4 feet by 2 feet. What is the ratio of the volume of the first cube to the volume of the second?
(there are 3 feet in a yard)
Answer:
9ft*12ft*6ft=648
3*4*2=24
648:24
Based on the tree diagram below, what is the probability that a student doesn't have lice, given that the student tested negative? Round your answer to the nearest tenth of a percent.
A. 97.6%
B. 99.4%
C. 96.4%
D. 98.6%
Answer:
Option D (APEX)
Step-by-step explanation:
L= Student has lice
NL= Student has no lice
PT=Test Shows positive
NT=Test Shows negative
P([tex]\frac{NT}{NL}[/tex]) =0.7708 (Probability that a student has no lice and the test shows negative)
P([tex]\frac{NT}{L}[/tex]) = 0.0108 ( Probability that a student has lice and the test shows negative)
[tex]P\frac{NT}{NL}[/tex] = [tex]\frac{P\frac{NT}{NL} }{P\frac{NT}{NL} +P\frac{NT}{L} }[/tex][tex]\frac{0.7708}{0.7708+00108}[/tex][tex]\frac{0.7708}{0.7816}[/tex]0.98618219 (Simplify)Terms Of Percentages
0.98618219 × 100
=98.6
Therefore your answer is 98.6% (Option D)
APEX
The probability that the student doesn't have lice, given that the student tested negative is P ( A ) = 98.6 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that the student doesn't have lice, given that the student tested negative be P ( A )
Now , the equation will be
The probability that a student has no lice and the test shows negative is given by P ( NL ) = 0.7708
The probability that a student has lice and the test shows negative is given by P ( L ) = 0.0108
And , The probability that the student doesn't have lice, given that the student tested negative P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]
On simplifying , we get
P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]
P ( A ) = ( 0.7708 ) / [ 0.7708 + 0.0108 ]
P ( A ) = 0.98618
P ( A ) = 98.6 %
Hence , the probability is 98.6 %
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ7
Use angle ABD shown below to answer the question that follows:
Which of the following is a step towards proving the similarity of triangles ABC and DBA?
Answer:
They have the same measure.
Step-by-step explanation:
M<ABD and M<DBA have the same measure.
Answer:
segment BC is a hypotenuse
Step-by-step explanation:
the longest side of a right triangle, opposite the right angle.
If a 40 foot tree cast a 12 foot shadow find the length of the shadow cast by a 27 foot tree
Answer:
8.1 ft
Step-by-step explanation:
We can use proportions to solve. Put the height over the shadow
40 ft 27 ft
---------- = -----------
12 ft x ft
Using cross products
40x = 12*27
40x =324
Divide each side by 40
40x/40 = 327/40
x = 8.1
The shadow is 8.1 ft
The mean for the set of numbers 12 10 7 8 m is 25 what is the value of m
Answer:
m = 88
Step-by-step explanation:
The mean of a set of data is calculated using the formula
mean = [tex]\frac{sumofdata}{count}[/tex]
hence
[tex]\frac{12+10+7+8+m}{5}[/tex] = 25 ( multiply both sides by 5 )
37 + m = 125 ( subtract 37 from both sides )
m = 88
How many families have at least 4 pets?
Answer:
6 families have at least 4 pets
Step-by-step explanation:
Hope it helped you!