Rewrite 1 1/5 as 6/5
Now you have 12 / 6/5
When dividing by a fraction, flip the fraction over and multiply:
12 / 6/5 = (12 x 5) /6 = 60/6 = 10
The answer is 10
Answer:
8
Step-by-step explanation:
Solve. x+y+z=−4 2x+3y−2z=10 −x+2y−3z=−12 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )
Answer:
(13, -10, -7)
Step-by-step explanation:
Given
x+y+z=−4 .................. 1
2x+3y−2z=10 .................... 2
−x+2y−3z=−12 ................... 3
Reduce the equation to two equations, two unknowns:
Add eqn 1 and 3
y+2y+(z-3z) = -4-12
3y - 2z = -16 .......... 4
Also multiply eqn 3 by 2:
−2x+4y−6z=−24 ................... 5
Add 2 to 5:
3y+4y+ (-2z-6z) = 10-24
7y-8z = -14 ............... 6
Equate 4 and 6
3y - 2z = -16 .......... 4 * 4
7y-8z = -14 ............... 6 * 1
...............................................
12y - 8z = -64
7y-8z = -14
Subtract the resulting equations
12y-7y = -64+14
5y = -50
y = -50/5
y = -10
Substitute y = -10 into equation 4 to get z:
3y - 2z = -16
3(-10)-2z = -16
-30-2z = -16
-2z = -16+30
-2z = 14
z = 14/-2
z = -7
Substitute y = -10, z = -7 into eqn 1 to get x:
x+y+z = -4
x-10-7 = -4
x-17 = -4
x = -4+17
x = 13
Hence (x, y, z) is (13, -10, -7)
find the slope of the graphed line
Answer:
C
Step-by-step explanation:
It is a negative slope because the y value decreases as the x value increases. It goes down 2 for every three that it goes across, so we can find, using rise over run, that the slope is -2/3
Consider matrix A.
A=[−385−123]
What matrix results from the elementary row operations represented by −3R2+4R1?
Enter your answer by filling in the boxes.
Answer:
[tex]\left[\begin{array}{ccc}-3&8&5\\-9&26&11\end{array}\right][/tex]
Step-by-step explanation:
Given the matrix A
[tex]\left[\begin{array}{ccc}-3&8&5\\-1&2&3\end{array}\right][/tex]
We are to find the matrix that results from the elementary row operations represented by −3R2+4R1
R2 means row 2
R1 means row 1
Applying the elementary row operation will change the second row of the matrices.
For the first column, second row (a₂₁)
If R1 = -3, R2 = -1
a₂₁ = -3R2+4R1
a₂₁ = -3(-1)+4(-3)
a₂₁ = 3-12
a₂₁ = -9
For a₂₂
If R1 = 8, R2 = 2
a₂₂ = -3R2+4R1
a₂₂ = -3(2)+4(8)
a₂₂ = -6+32
a₂₂ = 26
For a₂₃
If R1 = 5, R2 = 3
a₂₃ = -3R2+4R1
a₂₃ = -3(3)+4(5)
a₂₃ = -9+20
a₂₃ = 11
Hence the resulting matrix will be:
[tex]\left[\begin{array}{ccc}-3&8&5\\-9&26&11\end{array}\right][/tex]-3R2+4R1
Answer:
[-3 5 2]
[-36 23 -1]
Step-by-step explanation:
Note abidemiokin did the steps right just has the "given" wrong.
Given the matrix A
[-3 5 2]
[ 8 -1 3]
We are to find the matrix that results from the elementary row operations represented by −3R2+4R1
R2 means row 2
R1 means row 1
Applying the elementary row operation will change the second row of the matrices.
For the first column, second row (a₂₁)
If R1 = -3, R2 = 8
a₂₁ = -3R2+4R1
a₂₁ = -3(8)+4(-3)
a₂₁ = -24-12
a₂₁ = -36
For a₂₂
If R1 = 5, R2 = -1
a₂₂ = -3R2+4R1
a₂₂ = -3(-1)+4(5)
a₂₂ = 3+20
a₂₂ = 23
For a₂₃
If R1 = 2, R2 = 3
a₂₃ = -3R2+4R1
a₂₃ = -3(3)+4(2)
a₂₃ = -9+8
a₂₃ = -1
Hence the resulting matrix will be:
[-3 5 2]
[-36 23 -1] -3R2+4R1
HELP!!!!
Solve x=9w−3z−15 for w. Do not write w= in your answer.
Answer:
Your answer is: x/9 + z/3 + 5/3
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
The foreman in the welding department wanted to know what value of allowance to use for a particular section of the shop. A work sampling study was authorized. Only two activity categories were considered: (1) welding and other productive work, (2) personal time, rest breaks, and delays. Over a four week period (40 hours/week), 125 observations were made at random times. Each observation captured the category of activity of each of eight welders in the shop section of interest. Results indicated that category 2 constituted 33% of the total observations. (a) Define the limits of a 96% confidence interval (SD
Answer:
The answer is "0.3605".
Step-by-step explanation:
Through 8 welds, every welder have 125 measurements, that overall amount of measurements.
N= 125(8) = 1000
The 96 percent level of trust
[tex]Z_{\frac{\alpha}{2}} =2.05\\\\\hat{\sigma}_{p} = \sqrt{\frac{0.33 (0.67)}{1000}}\\\\[/tex]
[tex]=\sqrt{ \frac{0.2211}{1000}}\\\\=\sqrt{0.0002211}\\\\=0.01487[/tex]
[tex]\hat{P_2} - Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 -2.05 (0.01487)\\\\[/tex]
[tex]= 0.33-0.0305\\\\=0.2995[/tex]
[tex]\hat{P_2} + Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 +2.05 (0.01487)[/tex]
[tex]= 0.33+0.0305\\\\=0.3605[/tex]
34 full. He uses 16 of a full tank’s gas per day driving to and from work.
How many days can Drew drive to work with the gas he has in the tank?
Help it’s for algebra 1
2. What is the difference?
Complete the subtraction sentence.
5-5=
Answer:
0
Step-by-step explanation:
write the number whose prime factorization is give: 2×2×2×7
Answer:
56
Step-by-step explanation:
Multiply it out 2×2×2×7 = 56
Janet's dog weighs 18.2 pounds. Charlie's dog weighs 7.4 pounds. About how much more does Janet's dog weigh than
Charlie's dog?
25 pounds
26 pounds
11 pounds
10 pounds
Answer:
11 Pounds
Step-by-step explanation:
Since it says "about how much" we can round 18.2 to 18 and 7.4 to 7 then we subtract 18-7=11
That means the answer would be 11 pounds.
Hope that helps and have a great day!
What are all the values of x for which (x−1)(x+2)<0?
(A) x<1
(B) x<−2
(C) −2≤x≤1
(D) −2 (E) x<0
Answer:
C -2<=x<=1
Step-by-step explanation:
x-1<0 ===> x<1
x+2<0 ===> x<-2
Last summer a sports club had 96 members this summer due to renovations it has 72 members what was the percent decrease?
Answer:
25%
Step-by-step explanation:
The answer would be 25% because to get your answer you have to
first subtract the original amount by the newest amount which in this case is
96-72=?
After you have subtracted this you will get you answer of 24
96-72=24
Ans than what you do is take the number of how many people left and put it on top of the original amount like this
24/96 so in other words dividing
Than you will get your answer of 25%
Rectangle A’B’C’D’ is the image of rectangle ABCD after which of the following rotations?
Answer:
You're right!
Step-by-step explanation:
Answer:
Were you right?
Step-by-step explanation:
Evaluate the expression m/2 + m
m=14.
Answer:
plug in m
14/2 + 14
7 + 14
21
Step-by-step explanation:
Describe the error in the work shown below.
18 + 30 = 6(3 + 10)
Answer:
18+30 = 48
6(3+10) = 78
so they're not equal
Step-by-step explanation:
to be equal we have to change 6(3+10) to 6(3+5)
18+30 = 48
6(3+5) = 48
now they're equal
The case of pears cost $21.95 but I purchased it for 10% off. What did I pay for the case of pears?
Answer:
you paid 19.75 dollars
Step-by-step explanation:
1. A daycare center charges a $100 sign up fee, plus $50 per week. Write an equation that represents the total cost, f(x), for x weeks.
f(x) = _____x + ______
a. Identify the rate of change and interpret its meaning in the context of the problem.
b. Identify the y-intercept and interpret its meaning in the context of the problem.
c. What does x represent? What does f(x) represent?
d. Find the cost for a baby to attend daycare for 12 weeks. Write your answer using function notation.
e. Calculate f(-3). Explain what this question is asking you to find in the context of the problem, then discuss the reasonanbleness of this question and its answer.
Answer:
f(x)=50x+100
a)rate of change is 50
b)y-intercept is 100
c)x represents the no. of weeks
f(x) represents the the total cost for x weeks.
d)f(12)=700
e)Cost and week cannot be negative
Step-by-step explanation:
Sign up fee at daycare = $100
Cost of 1 week = 50
Cost of x weeks = 50 x
So, Total cost = 100+50x
Thus f(x)=50x+100
a)
General equation : y=mx+c
m = slope = rate of change
On comparison
m = 50
So, rate of change is 50
50 is the cost of daycare per week
b)
y intercept : y intercept is a point where a line 's graph intersects (crosses) the Y-axis i.e. x=0
Substitute x = 0 in equation
f(x)=50(0)+100
f(0)=100
So, y-intercept is 100
$100 is a signup fee
c)
x represents the no. of weeks
f(x) represents the the total cost for x weeks.
d)
Substitute x = 12
So, Cost for a baby to attend daycare for 12 weeks:
f(12)=50(12)+100
f(12)=700
e)
f(-3)=50(-3)+100=-50
Here it is asking about negative 3 weeks which is not possible
Since no. of weeks cannot be negative
On solving we are getting the negative total cost
Cost and week cannot be negative
Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =
Answer:
denominator
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
2/3×2/2 + 1/6
4/6 + 1/6
5/6
Simplify this expression
(6 x 2) + 8 - (40 - 4 x 5)
8 Simplify this expression:
30
12
Answer:
the first one, if you solved it using the calculator, the answer will be 0
I ran 3 1/4 miles in 30 minutes how fast was I going
Plot point F so that △ABC ≅ △FGH. Identify a sequence of rigid motions that maps △ABC onto △FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answer:
Step-by-step explanation:
Point F is plotted at (5, 4)
Translate ΔABC so that point B maps to point G.
B(1, -1) → G(0, 3)
Rule for the translation,
(x, y) → [x - 1, y + 4]
By this rule,
Point C will map the point,
C(-1, -2) → C'[(-1 - 1), (-2 + 4)]
→ C'(-2, 2)
A(-4, 0) → A'[(-4 - 1), (0 + 4)]
→ A'(-5, 4)
Now reflect these points across y-axis.
Rule for the reflection across y-axis,
(x, y) → (-x, y)
Points after reflection will be,
A'(-5, 4) → F(5, 4)
B'(0, 3) → G(0, 3)
C'(-2, 2) → H(2, 2)
Distance formula,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]
BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]
CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]
FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]
GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]
HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]
AB ≅ FG, BC ≅ GH, CA ≅ HF
By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH
I want to decorate my room with leaves and turkeys for Thanksgiving. The number of leaves is twenty more than twice the number of turkeys. The number of leaves is ten less than 4 times the number of turkeys. How many of each type of decoration should I use?
Answer:
50 leaves, 15 turkeys
Step-by-step explanation:
set up an equation
l = leaves
t = turkeys
l = 2t+20
l = 4t-10
2t+20=4t-10
30=2t
15=t (so that means that there would be 15 turkey decorations, but we're not done yet)
substitute (either equation):
l = 2(15)+20
l = 30+20
l = 50 (so this means there would be 50 leaves)
hope this helps!
is -45 less than,greater than or equal to -50?
greater than.
mistype
Answer:
It is greater than -50
Step-by-step explanation
Since that -45 is more closer to 0, It will greater than -50.
Write an equation in the line in slope intercept form
Answer:
Y=2x-1
Step-by-step explanation:
In order to find the slope, its rise over run. So you would move from (0,-1) to the next point it intercepts, (1,1) and find it from there
As for the Y-Intercept, it would just be wherever the line connects with the Y axis, which happens to be (0,-1) or Negative 1.
3) 4 pounds of meat cost $18. How much will 10 pounds of the same meat cost?
Answer:
$45
Step-by-step explanation:
4 lbs = $18
2 lbs = $9
10 lbs = $45
Answer:
If 4 pounds cost $18. you gotta find the cost of 1 pound
divide 18 by 4 = 4.5
and 4.5 times 10 is: 45
Step-by-step explanation:
$45 dollars for 10 pounds!
Hope this helps!
Pls mark brainliest
5/6 subtract (1/8 divided by 3/4) in a fraction form
Answer: 5 [tex]\frac{4}{25}[/tex]
Step-by-step explanation:
First, you need to know the orders of opperation. You must solve in this order.
ORDERS OF OPPERATION:
1. Grouping Symbols: ( [ ] )
2. Exponents: [tex]3^{2}[/tex]
3. Multiplication/Division
4. Addition/Subtraction
Now that we know the orders of opperation, let's get started!
1. 3/4 ÷ 1/8 = 6
2. 5/6 - 6 = 5 16/100
3. Simplify.
4. 5 16/100 = 5 4/25
= 5 [tex]\frac{4}{25}[/tex]
Please forgive me if I am wrong. I sure hope this answer helped. :)
The solution of the given expression will be 2/3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 5/6 subtract (1/8 divided by 3/4). The expression can be solved mathematically as below,
E = 5/6 - [ 1/8 ÷ 3/4 ]
E = 5/6 - [ 4 / ( 8 x 3 ) ]
E = 5/6 - 1/6
E = 4/6
E = 2/3
To know more about an expression follow
brainly.com/question/18884332
#SPJ2
4.11. According to a survey conducted by Netpop Research, 65% of new-car buyers use online search engines as part of their car-buying experience. Another study reported that 11% of new-car buyers skip the test drive. Suppose 7% of new-car buyers use online search engines as part of their car-buying experience and skip the test drive. If a new-car buyer is randomly selected a. What is the probability that the buyer used an online search engine as part of the car-buying experience or skipped the test drive
Answer:
Prob (Online search or Skip test drive) = 0.69
Step-by-step explanation:
Prob (Online search) = P(OS) = 65% = 0.65
Prob (Skip test drive) = P (STD) 11% = 0.11
Prob (Online search & Skip test drive) = P (OS ⋂ STD) = 7% = 0.07
Prob (Online search or Skip test drive) = P (OS U STD) :-
P(OS) + P (STD) - P (OS ⋂ STD)
= 0.65 + 0.11 - 0.07
= 0.69
Please help if possible!! Really need help
Answer:
it is a x= 40 degrees
Step-by-step explanation:
Today I am 6 years less than half my fathers age. In 6 years, I will be 6 years more than 1/3 my father's age. How old was my father when I was born?
The answer fam is........ 30
Solve the following equation
4(3-2x)=15
Answer:x= -3/8
Step-by-step explanation:
Answer:
-3/8
Step-by-step explanation:
4(3-2x)=15
-3/8
