0.008
1/5 x 1/5 x 1/5
4.) Which equations below have no solution? Select all that apply, and justify your response with work. a.) x - 9 = 2(x - 3) + 12 b.) 5(-2x + 7) + 3 = -10x + 38 1 c.) (6x - 4) = 3(x - 2) 1 d.) 0.01x + 0.001 = (x + 10) 100 e.) 3(x + 2) + 1 = x + 2(4 + x)
Answer: Equations (b) and (e) do not have solutions
Step-by-step explanation: b) The x cancels out (-10x + 35) = -10x + 318; 35 = 318???? NO. e) 3(x + 2) + 1 = x + 2(4 + x); 3x + 7 = 3x + 8. The x cancels out again.
The other s can be solved for x.
Hi! I'm happy to help!
To solve this, we need to simplify all of the equations. There are 3 ways equations like this can go, infinitely many solutions, 1 solution, or no solution. Infinitely many is something like 6=6, that could mean infinite solutions because 6 always equal 6, and would apply in infinitely many ways. (in the equation) One solution refers to something like x=6. This tells your exactly what x is, and that is your only solution. (for the equation) And no solution is something like 5=6, 5 will never equal 6, so that is no solution. (to the equation)
Now, let's start out with our first equation. To find if our equations have solutions or not, we need to simplify them. We do this by singling out x to see what the solution is (if there is one).
x-9=2(x-3)+12
We can multiply 2, by x and -3 inside of the parenthesis, to simplify:
x-9=2x-6+12
Since we have at least one x on both sides, we can subtract it to isolate it:
x-9=2x-6+12
-x -x
-9=x-6+12
Combine -6 and twelve:
-9=x-6+12
-9=x+6
Now, we subtract 6 to fully isolate x:
-9=x+6
-6 -6
-15=x
We see we have 1 solution, so you should not pick option 1.
Second equation:
5(-2x + 7) + 3 = -10x + 38
We should first multiply the parenthesis:
-10x+35+3=-10x+38
Since we want to simplify, let's add 10x on both sides
-10x+35+3=-10x+38
+10 +10x
35+3=38
Add 35 and 3:
38=38
Since 38 will always equal 38, there are infinite solutions, and you should not pick option 2.
Third equation:
(6x - 4) = 3(x - 2)
Since there is nothing outside of the parenthesis (right side), we don't need them:
6x-4=3(x-2)
From here, multiply the parenthesis:
6x-4=3x-6
Subtract 3x from both sides:
6x-4=3x-6
-3x -3x
3x-4=-6
Add 4 to both sides to isolate x:
3x=-2
Divide both sides by 3, to fully isolate x:
x=-[tex]\frac{2}{3}[/tex]
Since there is only 1 solution, you should not pick option 3.
Fourth equation: (not sure if the 100 is supposed to be there)
0.01x + 0.001 = (x + 10)
First, let's subtract 0.01x from both sides:
0.001=9.99x+10
Then, we subtract 10 from both sides to start isolating x:
-9.999=9.99x
Then, we divide both sides by 9.99:
______
1.000900900=x
Kind of a weird number, but regardless, you should not pick option 4, because it has 1 solution.
Fifth equation:
3(x + 2) + 1 = x + 2(4 + x)
First, let's multiply the parenthesis on both sides:
3x+6+1=x+8+2x
Combine like terms:
3x+7=3x+8
Subtract 3x from both sides:
7=8
7 will never equal 8, there will be no solution, and you should pick option 5.
You should pick option e, because it has no solution.
I hope this was helpful, keep learning! :D
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Answer:
Step-by-step explanation:
M=189
N = 48
A = M*N
A = 189 * 48
A = 9072
if 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes
Answer:
It'll take 144 minutes for 5 pipes.
Step-by-step explanation:
[tex]{ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}[/tex]
but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.
But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)
Answer:
144 minutes
Step-by-step explanation:
here we use inverse proportion because the more pipes there are the less time is needed
the formula for inverse proportion is y = k/x
first we need to find k which is the constant
if y is the number of minutes and x is the number of pipes we can substitute these into the formula like so: 120 = k/6
to find k rearrange the formula to get k = 6 * 120 = 720
now that we have k we can substitute 720 (k) and 5 (x) into y = k/x
y = 720 / 5
y = 144
(y is the number of minutes in this case so the answer is 144 minutes)
Slope-Intercept Form
Directions: Re-write the equation of
the line in slope-intercept form.
Slope must be in simplest/fraction
form. Do NOT put any spaces in
your answer.
Standard Form
2x+y=8
3x-y=7
5x+2y=8
4x+3y=9
X-y=0
x+4y=16
4x-3y=6
x+2y=-10
x+y=3
3x-2y=9
(Please vote me Brainliest if this helps!):
y = -2x + 8y = 3x - 7y = [tex]-\frac{5}{2}x[/tex] + 4y = [tex]-\frac{4}{3}x[/tex] + 3y = x + 0y = [tex]-\frac{1}{4}x[/tex] + 4y = [tex]\frac{4}{3}x[/tex] - 2y = [tex]-\frac{1}{2}x[/tex] - 5y = -x + 3y = [tex]\frac{3}{2}x - \frac{9}{2}[/tex]
4. Write the equation of the line that
passes through (9,4) (0-5)
Answer:
Equation of line is y = x - 5
Step-by-step explanation:
general equation of a line:
[tex]y = mx + c[/tex]
m » slope
c » y-intercept
for the slope, m :
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]
substitute in accordance of the points:
[tex]slope = \frac{ - 5 - 4}{0 - 9} = \frac{ - 9}{ - 9} \\ \\ m= 1[/tex]
for y-intercept :
[ consider point (0, -5) ]
[tex]y = mx + c \\ - 5 = (0 \times 1) + c \\ c = - 5[/tex]
Therefore, equation of line is
[tex]{ \boxed{y = x - 5}}[/tex]
«
Use complete sentences to describe how simplifying expressions with multiple logarithms makes evaluating
expressions less complicated.
Step-by-step explanation:
bracket first in simplify
Find the equivalent fraction of 2/3 having denominator 6 and 6 and numerator 10.
Step-by-step explanation:
having denominator 6,
X/6= 2/3
X= 4
so, 4/6= 2/3
having numerator 10,
10/X= 2/3
X= 15
so, 10/15= 2/3
What is the slope of a line with the equation y-2=-3/4(x+5)?
Answer:
Gradient: m = -3/4
Step-by-step explanation:
Please view the PDF attached for full step by step explanation
14.127 divided by 5.1 show work please
The quotient of 14.127 divided by 5.1 is 2.77
14.127 ÷ 5.1
To make the calculation easier without the use of a calculator :
Multiply both sides such that bith the dividend and divisor are integer values :
Multiply both by 1000
14.127 × 1000 = 14127
14127 51 × 1000 = 5100
Hence,
14127 ÷ 5100 = 14127 / 5100 = 2.77
Hence, 14.127 ÷ 5.1 = 2.77
Learn more : https://brainly.com/question/21416852
Jonathan drinks four and three sixths cups of water in the morning and three and two sixths in the evening. How much did Jonathan drink in all?
Answer:
2 cups
Step-by-step explanation:
3 + 3 = 6 (one cup)
4 + 2 = 6 (two cups)
If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.
Answer:
2000
Step-by-step explanation:
A wire 24 inches long is to be cut into four pieces to form a rectangle with one side of length x. Write the area A of the rectangle as a function of x.
Answer:
If the function is the Area, then Area = length*width = x*(12-x) = 12x - x^2Domain is x>0, since you can't have a rectangle with negative length.
0 < x<6, If x is 7 then width would be 5, but x must be shorter
Step-by-step explanation:
Draw a line segment of length 6.4 cm and divide it in to 4 equal parts. Write the length of each part. (Draw clearly)
Answer:
The line drawn has a length of 6.4 cm.
Also it is divided into 4 equal parts.
Hence let the measure of the each equal part be ' x '
So x * 4 parts = 6.4 cm
=> x = 6.4 cm / 4
=> x = 1.6 cm
Hence the measure of each equal part is 1.6 cm.
Hence solved !
Step-by-step explanation:
HELP BRAINIEST TO WHOEVER RIGHT
Answer:
180 degrees
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip, and each barrel holds 12 quarts of wastewater. How many days are between each pickup?
Answer:
There are 6 days between each pick up days.
Step-by-step explanation:
PLssssssss helppppppppppppppppppppppp
Answer:
6 ft
Step-by-step explanation:
1. Write the following numbers in the expanded form:
(i) 20.03
(ii) 200.03
(iii) 2.034
Answer:
(I). 20.03:
[tex] = 2.003 \times {10}^{1} [/tex]
(ii). 200.03
[tex] = 2.0003 \times {10}^{2} [/tex]
(iii). 2.034
[tex] = 2.034 \times {10}^{0} [/tex]
What’s the answer ASAP
Answer:
none
Step-by-step explanation:
38×2=76
43×2=86
45×2=90
2
Stuart uses 3 of a cup of sugar for a recipe. How many cups of sugar are needed for 7 recipes?
Express the amount as a mixed number.
cups
Blank 1:
Blank 2:
Answer:
Blank1=4 blank2=2\3
Step-by-step explanation:
2\3 for 1 recipe
For 7 recipe = 7 x 2\3
= 14\2 x 2\3 -> take out the 2
14\3 = 14 divided by 3 is 4 with remainder of 2
So, 4 2\3
write -9.38 as a mixed number
Answer:
-9/38/100=-9/19/50
hope it helps!!!!!
Use the similar shape concept of geometry to find the missing value (x). Round your answer to the nearest tenth if necessary.
7 in
3 in
x in
4 in
Step-by-step explanation:
7:3
4:x
-cross multiply
7x = 12
x = 12÷7
x = 1.7
1. If x = y and x + 2y = 6 then find value of 'y'.
T
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
Solve for X: 2^3x + 1 = 2^10
please look at photo and give detailed steps!! thank you
Step-by-step explanation:
since the bases are the same all you have to do is just get the powers of both bases which is 3x + 1 and 10
you're then going to equate 3 x + 1 to 10 and then you have to make +1 cross to the other side making it become -1
you then can subtract 1 from 10 leaving you with 9
and at the LHS we have 3x
we are gonna get rid of the three by dividing it into itself and the 9 at the RHS then X = 3
616÷2=308. I got 38 instead of 308 when solved with long division
Answer:
U forgot to add zero while dividing
Helppp me pleaseee!!!!!!!!!!
Answer:
A
Step-by-step explanation:
-4.5+4.4= -0.1
-0.1 + x = 0
So the answer needs to be equal to 0.1.
-6.7+6.8= 0.1
-4.5+4.4 -6.7+6.8 =0
What is 2 2/15 - 1 2/3=
I ended up with 2 3/21
Really need help with this!
Answer:
[tex]2 \frac{2}{15} - 1 \frac{2}{3}[/tex]
[tex] = \frac{32}{15} - \frac{5}{3} [/tex]
[tex] = \frac{32 \times 1 - 5 \times 5}{15} [/tex]
[tex] = \frac{32 - 25}{15} [/tex]
[tex] = \frac{7}{15} [/tex]
Help!! Truth Table
Thank you!!
Answer:
Step-by-step explanation:
[tex]\begin{array}{c|c|c|c|c}p&q&r&p \vee q&(p \vee q)\ =>\ r\\---&---&---&---&------\\T&T&T&T&T\\T&T&F&T&F\\T&F&T&T&T\\T&F&F&T&F\\F&T&T&T&T\\F&T&F&T&F\\F&F&T&F&T\\F&F&F&F&T\\---&---&---&---&------\\\end{array}[/tex]
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.9 = 90/100 9/10
0.90 is the same as 90/100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The surface area of a cone with radius r units and slant height s units is shown below: Surface area = 3.14(rs + 2) Part A: Ifr= 6 units and s = 4 units, write an expression that can be used to calculate the surface area of the cone. (4 points) Part B: What is the surface area of the cone? Show your work. (6 points)
Answer:
188.4 units²
Step-by-step explanation:
Hi there!
Part A
Surface area of a cone = [tex]3.14(rs+r^2)[/tex] where r is the radius of the base and s is the slant height
⇒ r = 6
Replace r with 6
[tex]3.14(6s+6^2)[/tex]
⇒ s = 4
Replace s with 4
[tex]3.14(6*4+6^2)[/tex]
Part B
Evaluate the expression found in Part A:
[tex]3.14(6*4+6^2)[/tex]
Find 6²:
[tex]=3.14(6*4+36)[/tex]
Find 6*4:
[tex]=3.14(24+36)[/tex]
Find 24+36:
[tex]=3.14(60)\\=188.4[/tex]
Therefore, the surface area of the cone is 188.4 units².
I hope this helps!