What are the solutions to the equations below? answer in simpliest form
3(2w+6)-2=2(6w-8)+2w
4(x-1)=1/2(x-8)
4(x+3)-4=8(1/2x+1)
2(2x-5)+2x=7x-1
3x+7x+1=2(5x+1)
Step-by-step explanation:
6w+18-2=12w-16+2w
32=8w
-8w=-32
w=4
4x-4=1/2x-4
3 1/2x=0
x=0
4x+12-4=4x+8
0=0
4x-10+2x=7x-1
-3x=9
x=-3
3x+7x+1=10x+2
0=1 (undefined)
What is the equation of the line
Answer:
y=1/2x+2
Step-by-step explanation:
Answer:
1/2 x + 2
Step-by-step explanation:
1/7 x 7/8 + 3/4
HELP ME EXPLAIN!
Answer:
7 over 8
Step-by-step explanation:
Answer:
fraction: 7/8
decimal: 0.875
Step-by-step explanation:
I need help with this problem, if someone could answer it, it'd make me happy^^
Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.
Answer choice:
A. 0.04
B. 9.35
C. 14.80
D. 15.41
1) Write the coordinates of the vertices after a translation 1 unit left and 5 units up.
R(1, 4)
S(1,4)
T(5, 4)
U(5,-4)
Answer:
0,9
0,9
4,9
4,1
Step-by-step explanation:
imagine the coordinates on a graph
The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
[tex]d^2 = l^2 + l^2[/tex]
[tex]d^2 = 2l^2[/tex]
Take positive square root of both sides
[tex]d = \sqrt{2l^2}[/tex]
Split:
[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]
[tex]d = \sqrt{2} *l[/tex]
Recall that the side length (l) is rational.
However, [tex]\sqrt 2[/tex] is irrational.
So, the product of l and [tex]\sqrt 2[/tex] will be irrational
Hence:
The diagonal is irrational
What is the value of the power a if 5a = 1/125
Answer:
x = -3
There is a base f 5 on the left side, so write the denominator on the right as a base of
5 as well.
5
x
=
1
125
5
x
=
1
5
3
Move the base to the numerator.
5
x
=
5
−
3
If the bases are equal, the indices are equal:
x
=
−
3
Answer:
The answer is 1/625
Step-by-step explanation:
The reason is because 5a = 1/125
Therefore, to find the value of "a" we need to divide!
So, a = 1/125 / 5
⇒ 1/125 × 1/5 ( Reciprocal when we divide )
⇒ 1/125 × 5
→ 1/625
I hope this answer helps!
help i hate math pls
Answer:
31.5
cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3
−n + (−3) + 3n + 5
im really confused by this question just solve it like you normally would
Answer:
2n+2
Step-by-step explanation:
HELP ALSO EXPLAIN 15 POINTS !Chef Porter is making spaghetti sauce for his restaurant. He uses 5 pounds 12 ounces of tomatoes and 3 pounds 9 ounces of onions.
How many total ounces of tomatoes and onions does Chef Porter use?
The diameter of a plant cell measures about 0.00012 m.
What is this number in scientific notation?
A
0.12 x 10-3
B 1.2 x 10-4
1.2 x 10-5
12.0 x 10-5
Inequality for x: -25x +7 <107
Answer:
x>-4
Step-by-step explanation:
im pretty sure but i dont know
A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.
Answer:
Each box contains 1424 pencils;
There would be 2848 total pencils in two boxes.
Step-by-step explanation:
1424 x 2 = 2848 pencils
Please help me with thisss
Answer:
(x, y) = (-2, -3)
WORK:
2x + 4y = -16 =
-2x + 2y = -2 =
(^ the two’s cancel out) =
6y = -18 =
(^ you need to divide 6 on both sides to get just y) =
6y/6 = -18/6 =
(^ the six’s cancel out) =
y = -3 =
(^ now you have to plug this in to get x) =
2x + 4(-3) = -16 =
2x - 12 = -16 =
(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =
2x = -4 =
2x/2 = -4/2 =
(^ now you divide 2 on both sides again to get just y, and they will cancel out) =
x = -2 =
THEREFORE YOU GET (-2, -3)
7 * 0.04 = 7 * 4 *
7 times 0.04 equal 7 times 4 times ?
Answer:
Solution
1 Cancel 77 on both sides
x\times 0.04=x\times 4xx×0.04=x×4x
2 Regroup terms
0.04x=x\times 4x0.04x=x×4x
3 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
0.04x={x}^{2}\times 40.04x=x
2
×4
4 Regroup terms
0.04x=4{x}^{2}0.04x=4x
2
5 Move all terms to one side
0.04x-4{x}^{2}=00.04x−4x
2
=0
6) Factor out the common term x
x(0.04-4x)=0
7 Solve for x
x=0,0.01
Done!
Step-by-step explanation:
Which figure is shown
Answer:
pyramid
Step-by-step explanation:
plz make me brainliest
Which of the measures represent the sides of a right triangle A. B. C. D. 10, 12, 14 8, 11, 19 6, 7, 8 5, 12, 13
Answer:
A. 7
b. 14
c. 16
Step-by-step explanation:
Which statements are true about Aimee's and Theo's
work? Check all that apply
Aimee simplified before she multiplied.
Theo's product is correct.
Aimee divided out the factors 4 and 2 from 875 and
2012
Theo multiplied the numerators correctly but did not
multiply the denominators correctly.
Multiplying rational expressions in different ways
always results in different products.
Answer:
a c d
Step-by-step explanation:
what fraction of this shape is needed?
Answer:
14/30=7/15
........................
Trapezoid K prime is the image of trapezoid K after a series of transformations.
On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7).
Bella and Marco described the sequence of transformations in different ways.
Bella’s Sequence
Marco’s Sequence
1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation
2. a rotation of 180 degrees about the origin
3. a translation of 1 unit down
1. a reflection of trapezoid K across the x-axis
2. a dilation by a scale factor of Three-halves with the origin as the center of dilation
3. a translation of 1 unit down
Which sequence or sequences are correct and why?
Only Bella is correct.
Only Marco is correct.
Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used.
Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.
Mark this and return
Answer:
Only Bella is correct
Step-by-step explanation:
I’m right
Answer:
OnLy BeLlA
Step-by-step explanation:
You have 12 CDs and choose 4 of them to play one evening. How many
orders of CDs are possible for playing the 4 CDs?
Answer:
3 orders of CDs
Step-by-step explanation:
So if you have 12 CDs and you are choosing 4 for one evening you get 8 more CDs for 3 evening.So what i did is 12 - 4 and it is equal to 8 CDs and You divide 4 in to 12 and it gives you 3.Your answer is 3 order of CDs because the question is asking how many order of CDs are possible for playing 4 CDs?
Determine the equation of the line with slope 3 that passes through the point M (1,2) 1) 3x + y = 1 2) 3x - y = -1 3) 3x - y = 1 4) x- 3y = -1
Answer:
3) 3x - y = 1
Step-by-step explanation:
m=3
(y-2) / (x-1) = 3
y-2 = 3(x-1)
y = 3x - 1
suppose you select a number at random from the sample space. Find the probability. P(the number is positive)
Answer:
Here's the picture + somewhat process? (hard to explain, please lmk if it's wrong and i'll fix it!!)
can someone help me
Step-by-step explanation:
we need to use pythagoras's theorem (reversed) in this situation. We know the hypotenuse and the lower line, so we can find the upright one. That will be the value of AD.
so we use 81 (9 squared) and 144 (12 squared)
let x be the upright line's length
144-81=x squared
63=x squared
find the square root of 63 and you can have your answer
Im not gonna do that for you because that's pretty easy
Can a chord be a diameter?
Answer:
yes
Step-by-step explanation:
ΔABC ~ ΔEFD
Step-by-step explanation:
A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.Hope this is fine for youA carpenter has several boards of equal length. He cuts 3/5 of each broads.After cutting the boards the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original board. How many boards did the carpenter star with?
Answer:
10
Step-by-step explanation:
Length of boards are the same :
Let number of boards = x
Fraction cut from each board = 3/5
Total fraction cut = 3/5 * x
Fraction left = 1 - 3/5 = 2/5
Total fraction left = 2/5 * x
Total pieces left = 2/5 * x = 4 times length of original board
Note ; original fraction = 1
Hence,
2/5 * x = 4 * 1
2x / 5 = 4
2x = 4 * 5
2x = 20
x = 20 / 2
x = 10
Number of boards = 10
Amy bought a sofa on sale for $511. This price was 27% less than the original price.
What was the original price?
Answer:
This price was 27% less than the original price...
this means that the price Scott paid was 73% of the original price.
(0.73) * (original price) = 511
solving for original price: original price = $ 700
One of the roots of equation x^(2)-(3p-4)x+11p-5=0 is 8. Find the other root. Find the value of p.
Answer:
Other root is 9 and p = 7.
Step-by-step explanation:
x^(2) - (3p-4)x + 11p-5 = 0 , x = 8.
Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:
8* A = 11p - 5
8 + A = -(-(3p - 4))
8 + A = -(-3p + 4)
8 + A = 3p - 4
A = 3p - 12.
Multiply this last equation by 8:
8A = 24p - 96
Now subtract the first equation from this:
8A - 8A = 24p - 11p - 96- (-5)
0 = 13p - 91
13p - 91 = 0
p = 91/13 = 7
and A = 3(7) - 12
= 9.
Answer:
Other root 9, p is 7
Step-by-step explanation:
HERES THE QUESTIONS BELOW
Answer:
the first one
Step-by-step explanation:
Solve for "x." Show your work!
5x - 7 = 3
Answer:
answer x =2
Step-by-step explanation:
answer x=2
5.2-7=3
×=2
Step-by-step explanation:
5x-7=3
add 7 in both sides to cancel out the 7 in the left
5x=10
you ant x by itself so you divide 5 in both sides
5x/5 = 10/5
x=2