Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
cd4
c2d8
A cd4
ООО
OB.
Oc.
ca2
1
ca4
OD.cd2
Answers
Related Questions
7 of 10
Sara was thinking of a number. Sara doubles it, then adds 7 to get an answer of 92.9. What
was the original number?
Answers
Answer:
42.95
Step-by-step explanation:
We just reverse the steps. So we take 92.9 and subtract by 7 to get 85.9. Then we divide that number by 2. So we get 42.95. To check our work, we can use this number and follow the steps Sara did. So 42.95*2=85.9+7=92.9
The original number that Sara was thinking of is 42.95.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Let's represent the original number "x".
According to the question, we know that:
x × 2 + 7 = 92.9
To determine the original number, we'll want to undo the operations that were done to it.
First, we'll subtract 7 from both sides to undo the addition:
x × 2 = 92.9 - 7
x × 2 = 85.9
Then, we'll divide both sides by 2 to undo the doubling:
x = 85.9 / 2
x = 42.95
Therefore, the original number that she was thinking of is 42.95.
Learn more about the number system here:
https://brainly.com/question/21751836
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Can someone help me with this question
Answers
Answer:
∠ CDE = 134°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6 , then
sum = 180° × 4 = 720°
let ∠ BCD = x then ∠ CDE = 2x
sum the angles and equate to 720
121 + 144 + 129 + 125 + x + 2x = 720 , that is
519 + 3x = 720 ( subtract 519 from both sides )
3x = 201 ( divide both sides by 3 )
x = 67
Then
∠ CDE = 2x = 2 × 67 = 134°
The equation of a circle in general form is x2+y2+20x+12y+15=0 .
What is the equation of the circle in standard form?
(x+10)2+(y+6)2=121
(x+10)2+(y+6)2=225
(x+20)2+(y+12)2=121
(x+20)2+(y+12)2=225
Answers
Answer:
[tex](x+10)^2+(y+6)^2=121[/tex]
Step-by-step explanation:
The standard form of a circle's equation is
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Where (h,k) is the center and r is the radius of the circle.
The equation is given in general form, we need to convert it to the standard form. This can be done by completing squares.
The equation is:
[tex]x^2+y^2+20x+12y+15=0[/tex]
Rearrange x's and y's separate:
[tex]x^2+20x+y^2+12y=-15[/tex]
We have also subtracted 15. Now to complete squares, recall the formula:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
The first two terms are equivalent to the first two terms of the above formula. It's clear that the second term is 2ab=20x. Solving for b:
b=10. Thus, to complete the square, we add 100 to the equation.
The third and fourth terms can also be used to complete the squares for y, knowing that 2ab=12y. In this case:
b=6. To complete this square, we add 36. The equation is now:
[tex](x^2+20x+100)+(y^2+12y+36)=-15+100+36=121[/tex]
Operating and simplifying, knowing that 121=11^2:
[tex]\boxed{\mathbf{(x+10)^2+(y+6)^2=121}}[/tex]
This corresponds to the first choice
what is the possible solution to the quadratic equation 2x^2+10=28
Answers
Answer:
x=3
Step-by-step explanation:
plug it into the equation and see if it's correct
hello people ~
factorise: x² + 4x - 77
Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~ ☂
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 4x - 77[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 11x - 7x - 77[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{} (x + 11) -7(x + 11)[/tex]
[tex]\qquad \sf \dashrightarrow \: {}^{} (x + 11)(x - 7)[/tex]
Answer:
x = 7
x = -11
Step-by-step explanation:
x² + 4x = 77
Complete the square to make it a square of a binomial
x² + 4x + 4 = 77 + 4
(x+2)² = 81
Square root both sides (two solutions)
x + 2 = 9
x = 7
x + 2 = -9
x = -11
Hope this helps :)
Have a nice day!
5 40/60 simpified no decimals
Answers
Answer:
5 2/3
Hope this helps! Please mark Brainliest!
Answer:
17/3
Hope this helps!!! :)
want money. answer this.
Answers
12x - 2y = 4 which when you put it in to intercept form is y = 6x - 8.
The only thing that matters is the slope not the y intercept.
Please help me 50 points and brainliest for all questions
Answers
Find the midpoint M of the line segment joining the points P = (-5, 7) and Q = (1, -3)
Answers
(-5+1/2 , 7-3/2)= (-2,2)
Midpoint- (-2,2)
Help! I would like a walkthrough of how to do this problem, as i cant figure out how to. Thanks!
Answers
Answer:
a = 4.5b = 7.5Step-by-step explanation:
You want the lengths of sides marked 'a' and 'b' in the given right triangle figure.
Similar trianglesAll of the triangles in the figure are similar to each other. This gives rise to some proportional relations that are useful for solving this problem.
short side/long side = 6/8 = a/6
8a = 36 . . . . . . cross multiply
a = 36/8 = 4.5
long side/hypotenuse = 8/10 = 6/b
8b = 60 . . . . . . . cross multiply
b = 60/8 = 7.5
The lengths 'a' and 'b' are 4.5 and 7.5, respectively.
__
Additional comment
These are sometimes given as "geometric mean" relationships:
6 = √(8·a)
b = √(a·(a+8))
10 = √(8·(8+a))
where √(pq) is the geometric mean of p and q.
Another way to solve this is to recognize the given triangle is a 3-4-5 right triangle. The other similar triangles will have these same ratios:
3 : 4 : 5 = a : 6 : b ⇒ a = 3(6/4) = 4.5, b = 5(6/4) = 7.5
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- Jimmy is 440 miles from home, but he is driving back at a speed of 60 mph. Which equation
represents this scenario where d represents the distance from home and t represents the time in
hours?
Answers
440d=60t it would take jimmy 7.33 hours to get home if he drove at a constant rate of 60 Miles Per Hour
Brooke plays volleyball and also plays the trumpet in the middle school band. Brooke spends two (2) hours after school participating in volleyball activities. At home, Brooke practices playing her trumpet for 1/8 of the time that spends on volleyball activities at school. How long does she practice the trumpet?
Answers
Answer:
15 minutes
Step-by-step explanation:
2 hours equals 120 minutes.
so if you divide 120 by 1/8 you get 15
which would be the amount of time she spent playing the trumpet.
Hope this helps!! :)
Rectangle LMNO was translated 4 units down and 5 units left. After the translation, N’ was at (-6, 5). What was the original
x-coordinate of N?
Answers
Answer:
(-2, 10)
Step-by-step explanation:
All you have to do is add 4 to -6 and add 5 to 5. Since it was moved 4 units down and 5 units left, that means that those numbers were subtracted from the original coordinates. Although you are trying to find the original points, so instead you add 4 and 5 to the coordinates you have right now.
I hope that makes sense!
MEKS is a rectangle. Find mEKM if mEMK =30
Answers
30/10
= 3
Answer is 3
Seats in a movie theater are numbered 1-500, and the manager is handing out snacks during the movie. Every person whose seat is a multiple of 4 gets Twizzlers. Every person whose seat is a multiple of 7 gets nachos, and every person in a seat that is a multiple of 10 gets popcorn. The person in which seat number is the first to get all 3 treats?
Answers
Answer:
Seat number 140 gets all three treats
Step-by-step explanation:
Given
[tex]Twizzlers = Multiples\ of\ 4[/tex]
[tex]Nachos = Multiples\ of\ 7[/tex]
[tex]Popcorn = Multiples\ of\ 10[/tex]
Required
Determine first person to get all kinds of treats
To do this, we simply need to determine the LCM of the given multiples:
[tex]4 = 1 * 2 * 2[/tex]
[tex]7 = 1 * 7[/tex]
[tex]10 = 1 * 2 * 5[/tex]
[tex]L.C.M = 1 * 2 * 2 * 7 * 5[/tex]
[tex]L.C.M = 140[/tex]
Seat number 140 gets all three treats
The value of y is _ more than the value of x
Answers
Answer:
The answer is x = y - 30
Step-by-step explanation:
y=31 and x=1, therefore y-30=x
Which expression is equivalent to -4.6 + (-0.4) + (-7.2)?
A. – 4.6 - (0.4 + 7.2)
B. (4.6 + 0.4 + 7.2)
C. – (4.6 – 0.4) + ( -7.2)
D. (4.6 + 0.4) + (-7.2)
Please help!!!
Answers
Please help me
Jjsjs
Answers
Answer:
1-70mm
2-77m
Step-by-step explanation:
so to do this, take the first one as an exmple, to find the unknown line on the ground I added 15+8 to find the total on the bottom
still on the first question, to find the unknown number on the side, I subtracted 12-7
I hope this makes any sense, but I dont know
whats important is that you have the answers.
Can you please answer this question I need to submit in 30 min please HURRY ASAP PLEASE NEED HELP PLEASE !!!!!!!!!!!
Answers
Answer:
The answer is "21"
Step-by-step explanation:
mn + 3r
m = 5
n = 4
r = 1/3
Now just substitute the values given in the question into the equation
5(4) + 3(1/3)
Multiply 5 and 4 to get 20
20 + 3(1/3)
3(1/3) cancels out and becomes 1
20 + 1
Add 20 and 1
21
So "21" is your answer
¼(5x + 16/3) - ⅔(¾x + ½) = -5
solve for x. this be some seriously big brain stuff. i'm just a child :(
Answers
Answer:
x = −8
Step-by-step explanation:
A cylinder has a height of 10 feet and a diameter of 14 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
cylinder volume = base area x height
= pi x r² x h
≈ 3,14 x 7² x 10 ≈ 1500
Mr. Chen purchased a board game for $14 and 6 puzzles. Each puzzle cost the same amount. The total cost was $86. How much did each puzzle cost?
Answers
Answer:
$12
Step-by-step explanation:
$86-$14 = $72 that you have left for the 6 puzzles
72÷6 = 12
(7, -1) 2. What is the slope of a line that is perpendicular to the line joining point A (9, 9)? and point B
Answers
Answer:
-1/5Step-by-step explanation:
Given the point A (9, 9) and B(7, -1)
The slope of the line AB is expressed as:
slope = Δy/Δx
slope = y2-y1/x2-x1
slope = -1-9/7-9
slope = -10/-2
slope = 5
For two lines to be perpendicular, the product of their slope must be -1
mM = -1
M is the slope of the line perpendicular to AB
Substitute m = 5 into the equation
5M = -1
M = -1/5
Hence the slope of a line that is perpendicular to the line joining point A and B is -1/5
6 - x - x = 16 what’s the answer please
Answers
Answer:
Answer is -5!
Step-by-step explanation:
Answer: x = -5
Explanation:
6-x-x=16
6-2x=16
6-6-2x=16-6
-2x=10
-2x/-2=10/-2
x = -5
the height of a cone shaped building is 50 ft, and the radius of its base is 20 ft. find the buildings slant height
Answers
Answer:
1,000
Step-by-step explanation:
Solve the following system of equations:
2x + 4y = 18
-3x + 2 = y
A.(-1, 4)
B.(1, 4)
C.(-1, 5)
D.(1, -1)
Answers
Answer:
Option C
Step-by-step explanation:
Given the following question:
[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]
To find the answer we need to find the values of each of the variables by solving one equation at a time, and then substitute those answers into each equation in till we have our answers.
[tex]2x+4y=18[/tex]
[tex]-3x+2=y[/tex]
[tex]y-y=0[/tex]
[tex]-3x+2+ -y=0[/tex]
[tex]2-2=0[/tex]
[tex]-3x+-y=0+-2[/tex]
[tex]-3x+3x=0[/tex]
[tex]-y=3x-2[/tex]
[tex]-y\div-1=y[/tex]
[tex]3x+2\div-1=-3x+2[/tex]
[tex]y=-3x+2[/tex]
Substitute y for -3x + 2:
[tex]2x+4y=18[/tex]
[tex]y=-3x+2[/tex]
[tex]2x+4(-3x+2)=18[/tex]
[tex]2x+4(-3x+2)=18=-10x+8=18[/tex]
[tex]-10x+8=18[/tex]
[tex]8-8=0[/tex]
[tex]18-8=10[/tex]
[tex]-10x=10[/tex]
[tex]-10x\div10=x[/tex]
[tex]10\div-10=-1[/tex]
[tex]x=-1[/tex]
Substitute x for -1:
[tex]y=-3x+2[/tex]
[tex]x=-1[/tex]
[tex]y=-3(-1)+2[/tex]
[tex]-3\times-1=3[/tex]
[tex]y=3+2[/tex]
[tex]3+2=5[/tex]
[tex]y=5[/tex]
[tex]x=-1[/tex]
[tex]y=5[/tex]
Your answer is "(-1, 5)" or option C.
Hope this helps.
Make d the subject of the formula h = d/3 + 2
Answers
d=6/h
find the LCM of 3 and 12
Answers
Answer:
12
Step-by-step explanation:
How many solutions does 23y+50+27y=50y+50 have
Answers
23y + 50 + 27y = 50y + 50 original equation
50y + 50 = 50y + 50 combine like terms
Because both sides of the equation are the same, meaning they are equal, the equation has INFINITELY MANY SOLUTIONS (y can be any number) .
Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=
Answers
Answer:
x = 29, y = -63
Step-by-step explanation:
Solve the following system:
{4 y + 11 x - 67 = 0 | (equation 1)
{2 y + 5 x - 19 = 0 | (equation 2)
Express the system in standard form:
{11 x + 4 y = 67 | (equation 1)
v5 x + 2 y = 19 | (equation 2)
Subtract 5/11 × (equation 1) from equation 2:
{11 x + 4 y = 67 | (equation 1)
{0 x+(2 y)/11 = -126/11 | (equation 2)
Multiply equation 2 by 11/2:
{11 x + 4 y = 67 | (equation 1)
{0 x+y = -63 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{11 x+0 y = 319 | (equation 1)
{0 x+y = -63 | (equation 2)
Divide equation 1 by 11:
{x+0 y = 29 | (equation 1)
{0 x+y = -63 | (equation 2)
Collect results:
Answer: {x = 29, y = -63
Answer:
[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}[/tex]
Isolate y for 4y+11x-67=2:
[tex]y=\frac{-11x+69}{4}[/tex]
[tex]\mathrm{Substitute\:}y=\frac{-11x+69}{4}[/tex]
[tex]\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}[/tex]
Isolate x for [tex]\frac{9x+69}{4}-19=0:[/tex]
[tex]x=\frac{7}{9}[/tex]
[tex]\mathrm{For\:}y=\frac{-11x+69}{4}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{7}{9}[/tex]
[tex]y=\frac{-11\cdot \frac{7}{9}+69}{4}[/tex]
[tex]\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}[/tex]
[tex]y=\frac{136}{9}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]