Answer:
2x - 4
Step-by-step explanation:
x - 5 + x + 1
→Add like terms (x and x, -5 and 1):
2x - 4
Solve the equation.
-9x + 1 = -x + 17
Answer:
The value of [tex]x[/tex]:
[tex]x = -2[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]-9x + 1 = -x + 17[/tex]
-Add both sides by [tex]x[/tex]:
[tex]-9x + 1 + x = -x + x + 17[/tex]
[tex]-8x + 1 = 17[/tex]
-Subtract both sides by [tex]1[/tex]:
[tex]-8x + 1 - 1 = 17 - 1[/tex]
[tex]-8x = 16[/tex]
Divide both sides by [tex]-8[/tex]:
[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]
[tex]x = -2[/tex]
So, the final answer would be [tex]x = -2[/tex] .
Answer:
x=−2
Step-by-step explanation:
−9x+1=−x+17
Add x to both sides.
−9x+1+x=−x+17+x
−8x+1=17
Subtract 1 from both sides.
−8x+1−1=17−1
−8x=16
Divide both sides by -8.
−8x/-8 = 16/-8
Answer:
x=−2
please help, i am not good at maths, brainiest will be given
Answer:
Modal average is the number that appears the most
Modal average: 3
1+2+3+4+5=15
15/3= Mean: 3
Step-by-step explanation:
add all the bedrooms and divide that sum by the number of numbers added. That's the mean.
Hope this helps.
A) 4 is the mode of the table
B)
1+2+3+4+5=15
15/5=3
Can anybody help with this one?
Answer: (-2,2)
see below
Step-by-step explanation:
Which of the following reasons can be used to justify statement #4 in the proof?
A SAS
B the transitive property
C the reflexive property
D CPCTC
Answer:
D.
Step-by-step explanation:
CPCTC which stands for "corresponding parts of congruent triangles are congruent". Since ΔMQN and ΔPQN have already been proved congruent, So every angle and sides of these two triangle corresponding with each other would be congruent.
Graph the equation to solve the system y=x-5 y=x+6
Answer:
the equations have no solutions
(i.e the graphs are parallel and does not intersect each other)
Step-by-step explanation:
if we graph the 2 equations, we can see that they are parallel and do not intersect, hence there is no solution to the given system of equations.
the area of an equilateral triangle by 3√3 sq. meter when the length of each side increases by 1 meter. find the length of the side of the triangle.
Answer:
l = ( 2√3 + 1 ) m
Step-by-step explanation:
A = l²√3/4
3√3 = l²√3/4
12√3 = l²√3
l² = √12
l² = √2²·3
l = 2√3 m
when the length of each side increases by 1 meter
l = ( 2√3 + 1 ) m
Answer:
5.5 m
Step-by-step explanation:
note: it is assumed that the area increased by 3√3 sq. meter when length of each side increases by 1 meterThe area of equilateral triangle formula:
A=√3/4a²increased area:
√3/4(a+1)²= A + 3√3
√3/4a²+3√3= √3/4(a+1)² ========= (× 4/√3 each side)a²+12=a²+2a+12a=12-1a=11/2 ma=5.5 mDetermine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Round to the nearest tenth place. The mean is
Step-by-step explanation:
work is shown and pictured
how many squares would have to be shaded so that 1/6 of the shape is shaded?
Answer:
3 squares
Step-by-step explanation:
The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.
The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).
Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares
Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded
Which expression is equivalent to 81^1/3?
33/3
3133
9313
273/3
Answer: 3 3√3
Step-by-step explanation:
81^1/3
=3√81
= 3 3√3
Tim has to cover 3 tanks completley with paint.
answer:
Total surface area of 3 tanks=34.3 m^27 tins of paint are required.Solution,
diameter of tank=1.4 m
Height of tank=1.9 m
Given tank has top and bottom
Now, The total surface area of cylinder tank is given by:
[tex]tsa = 2\pi \: {r}^{2} + (2\pi \: r \: ) \times h[/tex]
r( radius of tank)=
[tex] \frac{diameter}{2} = \frac{1.4}{2} = 0.7 \: m[/tex]
h(height of tank)=1.9 m
TSA of 1 tank
=
[tex]2 \times 3.14 \times {(0.7)}^{2} + 2 \times 3.14 \times 0.7 \times 1.9 \\ = 11.435 \: {m}^{2} [/tex]
TSA Of 3 tanks
=
[tex]3 \times 11.435 \: {m}^{2} \\ = 34.3 \: {m}^{2} [/tex]
Given a tin of plate covers 5m^2 area.
No.of tins required:
1 tin 5m^2
x tin 34.3 m^2
[tex]5x = 34.3(cross \: multiplication) \\ or \: x = \frac{34.3}{5} \\ x = 6.86 \\ x = 7 \: tins[/tex]
therefore 7 tins are required.
Hope this helps...
Good luck on your assignment....
Find the y-intercept of the following equation. Simplify your answer.
y = –3x − 1
y-intercept =
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
on the y- intercept the value of x is zero
What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42
Answer:
k = 29
Step-by-step explanation:
The sum of the two angles is 180 since they form a straight line
5k-3 + 9+k = 180
Combine like terms
6k +6 = 180
Subtract 6 from each side
6k = 174
Divide each side by 6
6k/6 = 174/6
k =29
Answer:
k=29
Step-by-step explanation:
Please help! Correct answer only, please! The answer isn't C. Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.
Answer:
| -6 0 |
| 12 21 |
Step-by-step explanation:
When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar
3 | -2 0 |
| 4 7 |
becomes
| -6 0 |
| 12 21 |
Answer:
Solution : C
Step-by-step explanation:
This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.
[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]
Simplifying each element, we receive the following matrix,
[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c
A triangle has two sides that have a length of 4 cm.
Which answer choices list possible types of angles for this triangle? Select two that apply.
1 obtuse angle and 2 acute angles with different measures
3 obtuse angles with different measures
1 right angle and 2 acute angles with different measures
1 right angle and 2 acute angles with the same measure
1 obtuse angle and 2 acute angles with the same measure
3 acute angles with different measures
Answer:
3 acute angles with different measures and 1 right angle and 2 acute angles with same measures
plz work out how you got the answer Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. In how many days will she do both classes and go to the library? *
Answer:
36
Step-by-step explanation:
if im wrong im sorry u add all of them up
what is the angle that has 0 degrees called
Answer:
It is called a zero angle.
A 180 degree angle is called a straight angle.
A ninety degree angle is called a right angle.
The roots of a certain quadratic equation is 1 and 2/3. Determine the equation
Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
Which of the following fractions is not equivalent to 2?
3
6
0 10
IN
4.
Answer they are all equivalent
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha[/tex]
What is the product of: 2x(x-3) expressed as a sum or difference of terms
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
Distribute
2x*x -3*2x
2x^2 - 6x
Can someone help me please
Answer:
so the answer is the third one
For what values of m does the graph of y = mx?- 5x-2 have no
5x - 2 have no x-intercepts?
Answer:
no
Step-by-step explanation:
It does.
5x-2=0
5x=2
x=2/5
(2/5, 0)
is an x-intercept
Answer:
m<-25/
Step-by-step explanation:
1.£500 is deposited in a bank paying 2% compound interest per annum. What is the balance after 2 years?
2.£400 is deposited in a bank paying 1.75% compound interest per annum. What is the balance after 2 years?
3.£800 is deposited in a bank paying 7% compound interest per annum. What is the balance after 2 years?
4.£700 is deposited in a bank paying 4.75% compound interest per annum. What is the balance after 6 years?
5.£4600 is deposited in a bank paying 3.75% compound interest per annum. What is the balance after 5 years?
6.£6000 is deposited in a bank paying 13% compound interest per annum. What is the balance after 4 years?
7.£200 is deposited in a bank paying 0.75% compound interest per annum. What is the balance after 2 years?
8.£7100 is deposited in a bank paying 15.75% compound interest per annum. What is the balance after 13 years?
9.£6600 is deposited in a bank paying 16.75% compound interest per annum. What is the balance after 15 years?
10.£8600 is deposited in a bank paying 15% compound interest per annum. What is the balance after 17 years?
Formula for compound interest: A = P( 1 + r/n)^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
^ = I used this symbol to present that a the number needs to go higher (see picture)
1. 500(1 + 2/100)^2 = 520.2
£520.20
2. 400(1 + 1.75/100)^2 = 414.12
£414.12
simplify −3x^3(−2x^2+4x−3)
Answer:
Step-by-step explanation:
6x^5 - 12x^4 + 9x^3
(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)
a builder has to fix 3 Walls that have fallen down.He needs 2kg of cement for each wall.How much will he need altogether in kilograms
Answer: 6 kilograms
Step-by-step explanation:
3 walls * 2 kilograms each = 6 kilograms in total
Here is a list of numbers 17 21 14 17 12 15 16 A) work out the range of the numbers B) work out the mean of the numbers in the list
Answer:
Given below
Range: 9
Mean: 16
Hope it helps:)
Step-by-step explanation:
The data is given in the question
Range-
All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:
Range = Maximum Value–Minimum Value
= 21- 12
= 9
Mean-
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:
Sum of term/ number of terms = mean
= 17+21+14+17+12+15+16/7
= 112/7
= 16
The range and the mean of the given data are 9 and 16 respectively.
What is range?The range is the difference between the smallest and highest numbers in a list or set.
Given that, a data 17, 21, 14, 17, 12, 15, 16,
a) Range = The difference between the lowest and highest values
= 21-12
= 9
b) Mean = (sum of all data)/(number of data)
= (17+ 21+ 14+ 17+ 12+ 15+ 16)/7
= 112/7
= 16
Hence, The range and the mean of the given data are 9 and 16 respectively.
For more references on range, click;
https://brainly.com/question/28135761
#SPJ5
How many seconds are in one day?
Answer:
86,400
Step-by-step explanation:
there are 60 seconds in a minute, there are 1440 minutes in a day. 1440×60= 86,400
// have a great day //
15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....
C) -1
D) -2
A and B where wrong. 15 points for whomever answers correctly
Answer:
The answer is C.
Step-by-step explanation:
Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :
[tex]2x + y = 9[/tex]
Let x = 5,
Let y = k,
[tex]2(5) + k = 9[/tex]
[tex]10 + k = 9[/tex]
[tex]k = 9 - 10[/tex]
[tex]k = - 1[/tex]
I need explanation and help me plz !!!!
Answer:
52
Step-by-step explanation:
There are a total of 380+240+110 people. (730)
0.52 are in stage 3.
0.33 in stage 2.
0.15 in stage 1.
52 people from stage 3 should be in the group.
Which expression is equal to -3b^4(6b^-8)? Assume b=/0
Answer:
-18 b^-4= -18/b^4
Step-by-step explanation:
-3b^4(6b^-8)
Combine coefficients
-3*6 = -18
Combine exponents since the bases are the same, x^y * x^z = x^(x+z)
b^4 *b^ -8
b^(4+-8)
b^ -4
Put back together
-18 b^-4
We also know that x^-y = 1/x^y
-18/b^4
The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it would remain after 30 seconds?
Answer:
1.5625g would remain after 30 seconds
Step-by-step explanation:
When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.
More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass
Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.
Since it is just 5 half lives, we can proceed manually
In the first, we shall have 25g left
in the second, we shall have 12.5g left
In the third, we shall have 6.25g left
In fourth, we shall have have 3.125g left
and finally, in the fifth, we shall have 1.5625g