The work of a student to solve the equation 3(3y - 8) = 10 + 3y is shown below:
Step 1: 3(3y - 8) = 10 + 3y
Step 2: 6y - 5 = 10 + 3y
Step 3: 3y - 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y - 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
O Step 3: 6y - 8 = 3(6 + y)
O Step 3: 3(3y - 8) = 7 + y
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Answer:
Step 2; error
Step-by-step explanation:
The correct; 9y-24=10+3y
9y-3y=24+10
6y=34
y=5.66
I hope I helped you^_^
Find the circumference of a circle that has a diameter of 70 cm.
Answer:
70 pi cm
219.80 cm
219.9114858 cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi*d
C = pi * 70cm
Using 3.14 for pi
C = 219.80cm
Using the pi button
219.9114858cm
Circumference of circle = 2πr
π = 3.14 r = diameter/2 ; 70/2 = 35Hence , r is 35 cm
r denotes radius of circle⇛Circumference of circle = 2πr
⇛Circumference of circle = 2*3.14*35
⇛Circumference of circle = 6.28*35
⇛Circumference of circle = 219.8 cm
Hence , Circumference of circle is 219.8 cm
please please please help me i really need it asap.
Answer:
[AF is equal to FE, CD + DE = CE]
a).
[tex]AM = \frac{1}{2} AD \\ \\ AM = \frac{15}{2} \\ \\ AM = 7.5[/tex]
b).
[tex]MF = \frac{1}{2} CF \\ \\ MF = \frac{7}{2} \\ \\ MF = 3.5[/tex]
c).
[tex]MB = ME \\ 6 = 4x - 5 \\ 4x = 11 \\ x = \frac{11}{4} \\ \\ x = 2.75[/tex]
if x is th didit at tense place and y is the digit at ones place,the two digit number formed by these digits is.......................
Answer:
I think the two digit number formed would be
xy
seeing that x is on the tens place which is the second last place and y is on the ones place meaning it has to be the last value.
I hope this helps
What is
an equation of the line that passes
through the points (0, 3) and (5, -3)?
Answer:
y= -6/5x +3
Step-by-step explanation:
y = mx + b is the formula for every linear equation. m is the slope (comment if you don't know how to find the slope), and b is the y-intercept. You just have to find those terms and plug them in.
Please explain. I think it’s two step equations
Answer: I don’t see anything
Step-by-step explanation:
Can someone help me since I don’t have a protractor? Please measure this if you could! :)
Answer: 159.58°
Step-by-step explanation:
Here is the proof
AYUDENME PLIS PLIS PLIS
A 7-meter roll of yellow fabric costs $24.64. What is the unit price?
Answer:
3.52 is the unit price
Step-by-step explanation:
The only thing that you need to do do for know the answer is to divide 24.64 by 7
Question
Julio is paid 1.1 times his normal hourly rate for each hour he works over 31 hours in a week. Last
worked 39 hours and earned $553.22.
Enter and solve an equation to find Julio's normal hourly rate, 1. Complete the explanation how you
that your answer is reasonable.
The earnings equation is 5553.22 =
Julio's hourly rate iss
per hour.
This is reasonable because working 39 hours at a rate of $14 per hour is
39.14 39(10 - 4) = 390 + 156 =
and s
is close to $553.22.
Answer:
Last worked 39 hours and earned $553.22. Enter and solve an equation to find Julio's normal hourly rate,
Determine whether the following numbers are rational or irrational
Hi! I'm happy to help.
A rational number is a number that repeats, or stops.
First of all, 8/5, in fraction and decimal form (1.6), stops, So it is Rational.
Next, we have pi. This number, doesn't ever stop, or repeat. ( 3.1415926535 897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...) So, pi, is Irrational.
Next, we have 0. This number stops, so it is Rational.
Next, we have[tex]\sqrt{1}[/tex], the square root of 1, is 1, because 1 squared is one. 1 stops, so it is Rational.
Next, we have 4.46466... This number doesn't stop, and it doesn't seem to repeat, so it is Irrational.
Next, we have -6. -6 stops, so it is Rational.
Finally, we have [tex]\sqrt{2}[/tex]. The square root of 2 is 1.41421356237...
This number doesn't stop, and doesn't repeat, so it is Irrational.
To sum it up: Number 1, 3, 4, and 6 are Rational, and Number 2, 5, and 7 are Irrational.
I hope this was helpful, keep learning! :D
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 21
Step-by-step explanation:
72+46+(2x+20)=180
118+20+2x=180
138+2x=180
138-138+2x=180-138
2x=42
2x/2=42/2
x=21
write down the types of polynomial according to number of terms of the polynomial ?
Answer:
Monomial, Binomial, and Trinomial.
What is 50 percent of 320?
(Please explain in detail also)
Answer:
50 Percent of 320 is 160. 30 divided by 5, is 15, meaning that 300 divided by 5 will be 150. Divide 20 in half, and you get 10. Your answer is 150+10=160
Step-by-step explanation:
can we add 4x and 3y? why?
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
no we cannot add them, though we can multiply or divide them. You cannot add them because they have different variables, we need the same variables to add or subtract those.
Step-by-step explanation:
Hope it helps
keep smiling :)
help me please its urgent
Hi,
Answer is $0.19
Step-by-step explanation:-
We know that:-
15 dimes = $1.50
20 nickels = $1.00
8 quarters = $2.00
half dollar = $0.50
19 pennies = $0.19
Total = $5.19
Since Billy spended $5, so,
$5.19 - $5 = $0.19
Hope it helps you...
in the diagram triangle BCD is mathematically similar to triangle ACE
Answer:
3
Step-by-step explanation:
0.21212121… as a fraction
Work Shown:
x = 0.212121...
100x = 21.212121....
Subtract the equations straight down. This means we subtract the left hand sides together, and the right hand sides are handled separately.
Left hand sides: 100x-x becomes 99xRight hand sides: 21.212121.... - 0.212121... becomes 21After those sets of subtractions, we are left with 99x = 21.
This solves to x = 21/99 when dividing both sides by 99 to isolate x.
Therefore, 21/99 = 0.212121...
find the L. C. M of no h and j
L.C.M= (4x^2+y^2+2xy)(4x^2+y^2_2xy)(2x_y)(2x+y)
Answer:
question no. h is solve above therefore I solve question no j . hope this will help you ☺️
Solve the equation -13=m/-5
Answer:
m = 65
Step-by-step explanation:
Given
- 13 = [tex]\frac{m}{-5}[/tex] ( multiply both sides by - 5 )
65 = m
Real quick
what is the radius of 16 cm simplest form
Answer:
8cm
Explanation:
If the 16 cm is the diameter then the radius is 8 cm
PLEASEEEEE HELLLLPPP
Answer:
35 Degrees
Step-by-step explanation:
Angle JKL is reffering to the whole angle. The angle is split into two, it gives us the measurement for angle 1 which is 38 degrees. To find the answer we simply subtract angle m from angle JKL. 73-38 = 35... So angle 2 is 35 degrees.
Select all the sets of numbers to which the following real numbers belongs:
✓ 64
Real Numbers
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
Natural Numbers
Integers.
The integers are the whole numbers, their opposites, and 0 . From the given numbers, −7 and 8 are integers. Also, notice that 64 is the square of 8 so −√64=−8 . So the integers are −7,8,−√64 − 7 , 8 , − 64 .
A bag of flour is 2.26 kg how much does it weigh round to the nearest pound
__+(-4)=-1 find the missing value
Answer:
missing values is 3
I hope it's helps you
A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle
Answer:
3x - 13
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.
(x-6) + (x+2) + (x-9)
Group:
x + x + x - 6 + 2 - 9
3x - 13
3p^2-7p-6,Factorise.
Step-by-step explanation:
3p²-7p-6
Now, 9-2=7 and 9×2=18
3p²-9p+2p-6
By taking out common, we get
3p(p-3)+2(p-3)
(3p+2)(p-3)
Answer:
(3p + 2)(p - 3)
Step-by-step explanation:
[tex]3p^2-7p-6\\(3p+2)(p-3)[/tex]
passes through (3,-1), perpendicular to the graph y= -1/3x-4 into slope intercept form
Answer:
y = 3x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{3}[/tex] x - 4 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{3} }[/tex] = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (3, - 1 ) into the partial equation
- 1 = 9 + c ⇒ c = - 1 - 9 = - 10
y = 3x - 10 ← equation of perpendicular line
Please help ❤️
Naming Polynomials
Name each polynomial by degree and number of terms.
1) 3
2) 6a3
3) 9m + 5m² + 10m3 - 5
4) -9x + 4x2 – 2x3 - 10x?
5) 5
6) -7 + 3n3
7) -a"
8) -2 + 6x - 72
9) 6
10) 10.rº
11) 6r* – 2x
12) 9+ 4m?
13) -3n
14) -ns
Please help ❤️
Naming Polynomials
Name each polynomial by degree and number of terms.
1) 3
2) 6a3
3) 9m + 5m² + 10m3 - 5
4) -9x + 4x2 – 2x3 - 10x?
5) 5
6) -7 + 3n3
7) -a"
8) -2 + 6x - 72
9) 6
10) 10.rº
11) 6r* – 2x
12) 9+ 4m?
13) -3n
14) -ns
ans
4) -9x + 4x2 – 2x3 - 10x?
The length of each side of an equilateral triangle having an area of 9√3 cm² is
Answer:
6 cm
Step-by-step explanation:
Let each side of the equilateral triangle be a.
Given, area of an equilateral triangle = 9√3 cm2
Area of an equilateral triangle = (√3)/4 × (Side)²
=> (√3)/4 × a² = 9√3
[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]
=> a² = 36
[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]
∴ Side = 6 cm [taking positive square root because side is always positive]