[1] 4x - 2y + 3z = 1
[2] x + 3y - 4z = -7
[3] 3x + y + 2z = 5
Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :
-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1
-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1
[4] -14y + 19z = 29
-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5
-3x - 9y + 12z + 3x + y + 2z = 21 + 5
-8y + 14z = 26
[5] -4y + 7z = 13
Add 2 [4] to -7 [5] to eliminate y :
2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)
-28y + 38z + 28y - 49z = 58 - 91
-11z = -33
z = 3
Plug this into either [4] or [5] to solve for y :
-4y + 7 (3) = 13
-4y + 21 = 13
-4y = -8
y = 2
Plug both of these solutions into either of [1], [2], or [3] to solve for x :
x + 3 (2) - 4 (3) = -7
x + 6 - 12 = -7
x = -1
1/2 mi = 880 yd
O True
O False
Help
Answer:
True
Step-by-step explanation:
1,760 yds = 1 mile, 1,760 ÷ 2 = 880
To find the solution to the equation using factoring, we need to first write it in standard form.
Which of the following choices is equivalent to the equation:
(x - 3)(x + 5) = 10
x^2 + 2x - 5=0
x^2 + 8.2 – 25 = 0
x^2 + 2x – 25 = 0
x^2 + 2x + 5 = 0
Answer: the answer is x^2+2x-25
Step-by-step explanation:
Use distributive property
Multiply the two x’s by each other
Multiply the first x by +5
Multiply the -3 by x
Multiply the -3 by +5
You have x^2+5x-3x-15=10
Move the 10 to the left side and simplify
x^2+2x-25
5x-(x-2) ≥ 2x-4(x-8)
Answer:
x>5
Step-by-step explanation:
area and percent .
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
What is an advantage of using a check book
0.5f - 2.3g
F= 12, g = 2
Hi there & welcome to brainly !
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{1.4}}}}[/tex]
Step-by-step explanation:
[tex] \text{Given : f \: = \: 12 \: g = 2}[/tex]
[tex] \text{To \: find : Value \: of \: given \: expression}[/tex]
[tex] \text{Let's \: start}[/tex] :
[tex] \text{0.5f \: - 2.3g}[/tex]
Here, The values of f and g are 12 and 2 respectively. Plug the given values :
↦ [tex] \text{0.5 ∗ \: 12 - 2.3 ∗ 2}[/tex]
Multiply : 0.5 and 12
↦ [tex] \text{6 - 2.3 \: ∗ \: 2}[/tex]
Multiply : 2.3 and 2
↦ [tex] \text{6 - 4.6}[/tex]
Subtract 4.6 from 6
↦ [tex] \text{ \boxed{1.4}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
The solution of the given expression will be; 1.4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that 0.5f - 2.3g where f = 12 and g = 2
Now substitute 12 in for f and 2 in for g and solve;
0.5(12) -2.3(2)
6 - 4.6
=1.4
To know more about an expression follow;
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The complete question is;
Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2
$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory
There are 22 workers are available in the factory.
What is Wages?Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, Let the number of workers in the factory be x.
Basic rate = $15
Working hours in a week = 48 hours
Total wages in a week = $ 15840
If no overtime is to be paid then according to question,
Amount paid to 1 worker = 48 X 15 = $ 720
Amount paid to x worker = 720x
15840 = 720x
x = 15840/720
x = 22
Thus, There are 22 workers are available in the factory.
Learn more about Wages from:
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the quotient of 9 3/4 and 5/8
Answer:
15.6
Step-by-step explanation:
The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!
What is the first step in ordering fractions with different denominators
Answer:
Find the common denominator. :)
How much is 28 + 56 + 93
Answer:
177
Hope this helps
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 36 x2 x dx
We need to find the integration of (36x²)x.dx .
We know,
[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]
Now,
[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]
Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .
Hence, this is the required solution.
A swester is 20 dollars and is on ssle for 12 dollars. What percentage off
12 dolars / 20 dolars
the percentage is
(20-12) / 20
= 8/20
= 40 %
Write an equation for a line parallel to y = 5x + 1 and passing through the point (3,11)
Answer:
Here's the parallel line: y = 5x - 4
There was a 6 square foot piece of wrapping paper for a birthday present
where's the rest of question so I can help?
-3 times (7+(-3) to the second power) divided by 3
Answer:
-18
Step-by-step explanation:
tim has two spinners
How are 18:3 and 6:1 equivalent ratios
Answer:
You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.
18:3 and 6:1 are equivalent ratio because two ratios are in proportion
Given :
We are given with two ratios 18:3 and 6:1
We need to show that two ratios are equal
Lets take ration 18:3
Both 18 and 3 are divisible by 3
We can write the ratio in fraction form
[tex]\frac{18}{3} \\[/tex]
When we divide both top and bottom by 3 , we get
[tex]\frac{6}{1}[/tex]
we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]
Hence, the ratios are equivalent ratios
18:3 and 6:1 are equivalent ratios
Learn more : brainly.com/question/18431407
If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
There are two complex roots.
There are two real roots.
There is one real root.
There is one complex root.
Answer:
A. There are two complex roots
Step-by-step explanation:
Just took the test
If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
Discriminant of quadratic equationThe discriminant of a quadratic equation is given as;
[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]
A discriminant of negative 8 falls with last category in the solution above.
[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]
[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]
Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
Learn more about discriminant of quadratic equation here: https://brainly.com/question/4318614
Help ASAP, easy 15 points and a brainly for the first one to answer .
Answer:
It slopes downward from left to right. You can see the downward slope of that gender, which starts at the left and moves to the right.
Step-by-step explanation:
How do you find equivalent ratios? HELP HELP HELP!!! I NEED THE ANSWERS ASAP!!!
Answer:
multiply or divide both quantities by the same number
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions
Answer:
1. True
5/7= 0.714285
20/28= 0.714285
2. False
11/13= 0.846
22/25= 0.88
What is the answer to this problem?
Answer:3
Step-by-step explanation:
C = 2()r
2*3.14 = 6.28
18.84 / 6.28
=3
If correct pls give brainly
Suppose a manufacturer finds that 95% of their production is normal but the final 5% has one or more flaws. Each flawed good has a financial cost to the firm of $1. The manufacturer tasks a team led by you, the manager to identify the likelihood of upcoming flaws by providing your best expectation. Here is what you found by reviewing past production.Of the flawed goods:80% show Type 1 flaws.50% show Type 2 flaws.30% show both Type 1 and Type 2 flaws.1. Make a Bivariate Table using the above data.2. What is the probability and expectations of type 1 flaw?3. What is the probability and expectation of Type 2 flaw?4. What is the probability and expectations of Type 1 and 2 flaws?5. What is the probability and expectations of no flaws?
Answer:
1)
FLAW TYPE2 NO TYPE2 FLAW
TYPE1 0.015 0.025
NO TYPE1 FLAW 0.01 0.95
2) 0.04 and $0.04
3) 0.025 and $0.025
4) 0.015 and $0.015
5) 0.95 and $0.95
Step-by-step explanation:
Given that;
financial cost = $1
p(flaw) = 0.05
p(type 1 flaw / flaw) = 80% = 0.8
p(type 2 flaw / flaw) = 50% = 0.5
p( type 1 and 2 flaw/flaw) = 30% = 0.30
1) Bivariate Table
p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04
p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw) = 0.05 × 0.5 = 0.025
p( type 1 and 2 flaw) = p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015
p( only 1 flow) = 0.04 - 0.015 = 0.025
p( only 2 flow) = 0.025 - 0.015 = 0.01
THEREFORE the Bivariate Table;
FLAW TYPE2 NO TYPE2 FLAW
TYPE1 0.015 0.025
NO TYPE1 FLAW 0.01 0.95
2) probability and expectations of type 1 flaw?
p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04
Expected financial cost to the firm per good = $1 × 0.04 = $0.04
3) probability and expectation of Type 2 flaw
p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw) = 0.05 × 0.5 = 0.025
Expected financial cost to the firm per good = $1 × 0.025 = $0.025
4) probability and expectations of Type 1 and 2 flaws
p( type 1 and 2 flaw) = p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015
Expected financial cost to the firm per good = $1 * 0.015 = $0.015
5) probability and expectations of no flaws?
Probability of no flaw = P(No flaw) =95% = 0.95
Expected financial cost saved the firm per good due to no flaw
= $1 × 0.95 = $0.95
22.35 written form using proper words
twenty-two and thirty-five hundredths
11. Use an inequality symbol (<, >, 2, =) to compare -26
O A.
O B. =
O C.<
O D.>
Answer:
c. <
Step-by-step explanation:
-26 < (less than) 54
3 of 5
Simplify as far as possible without a calculator.
33(272+273)
Answer:
17,985
Step-by-step explanation:
33(545)= 17,985
FIRST RIGHT GETS BRAINLIEST
Answer:
-1 + 7 =-8
Step-by-step explanation:
Answer:
-6, -7
Step-by-step explanation:
-1 + -6 = -7
Katie make the cake her brother a 1/8 of the cake her father ate one fourth of the cake and her mother eat 1/8 of the cake how much cake is left
Answer:
1/2
Step-by-step explanation:
Well first lets break it down into steps!
We have 1 cake.
Brother ate: 1/8
Mom ate: 1/8
Dad ate: 1/4
Now we know that 1/8 + 1/8 = 1/4.
So her brother and mom combined ate 1/4th of the cake.
Her dad also ate 1/4th.
So we have 1 - (1/4) - (1/4) = 2/4 = 1/2.
1/2 of the cake is left.
A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.
I'll answer this question in a bit, I am busy with some other things right now.
I need to find the value of y
ok check this out
its a simple equation from my analysis
given the equation of the vector line 3y-4=28
just an algebraic simplification might help
3y=28+4
3y=32
y=1Answer: y=10.6667
Step-by-step explanation:
y=10.6667
Help me please I’m timed
Answer:
a=3 b=4
Step-by-step explanation:
a on the power of 3 is 8
3 on the power of 4 is 81
multiply them and you get 648