Answers
Answer:
Option B: (x= -8, y=10, z=-6)
Step-by-step explanation:
2x + 4y + 3z = 6 ... eq.(1)
5x + 8y + 6z = 4 ... eq.(2)
4x + 5y + 2z = 6 ... eq.(3)
From eq.(1),
2x= 6 - 4y - 3z
x= (6-4y-3z)/2 ... eq.(4)
Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)
In eq.(2),
5[(6-4y-3z)/2] +8y +6z =4
Multiplying through by 2
5(6-4y-3z) + 16y + 12z = 8
30-20y-15z+16y+12z = 8
22= 4y + 3z ... eq(5)
In eq.(3),
4[(6-4y-3z)/2] +5y +2z = 6
2(6-4y-3z) +5y + 2z =6
12-8y-6z + 5y +2z = 6
6= 3y + 4z ... eq.(6)
Multiplying eq.(5) and eq.(6) by 3 & 4 respectively
66=12y + 9z ... eq(8)
24=12y + 16z ... eq(9)
Subtracting eq(8) from eq(9)
42= -7z
z= -42/7
z = -6
Putting z as -6 in eq.(5)
22= 4y + 3(-6)
22= 4y -18
4y = 40
y = 40/4
y = 10
Putting y as 10 and z as -6 in eq(4)
x = [6 - 4(10) - 3(-6)]/2
x = (6 - 40 - 18)/2
x = -16/2
x = -8
x= -8, y= 10 , z= -6
Related Questions
convert
d) 14 yd² to ft²
e) 5.4 cm² to mm²
Answers
Answer:
14 yd²= 126 ft²
5.4 cm² = 540 mm²
10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)
Answers
Answer:
I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)
I
4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?
Answers
Answer:
1in x 2 + 1 in =3in
2 times 1 is 2 + 1 equals 3
Bethany has $20 to take some friends and herself to the movies A movie ticket costs $7.75. Write an inequality to help Bethany determine how many people can go to the movies with the $20.
Answers
Answer:
Only 2 people would be able to go and she would have $5.50 to spend on snacks.
Answer:
2 friends
Step-by-step explanation:
20< 7.75(x) you have to have a less number than the total
Solve for X in the triangle round your answer to the nearest 10th
Answers
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.
so,
the opposite angle of x is
180 - 90 - 44 = 46 degrees.
x/sin(46) = 6/sin(90) = 6
x = 6×sin(46) = 4.316038802...
rounded x = 4.3
PLZ HELP ASAP! I GIVE BRAINLIEST AND POINTS!
please dont post links
Find the value of the monomial.
5x^3 for x = 0.5
Answers
Answer:
⁵/₈
Step-by-step explanation:
x = 0.5
5x³ = 5(¹/₂)³
5x³ = 5(¹/₈)
5x³ = ⁵/₈
Hello! Please answer this ASAP. Thanks!
Answers
Answer:
x=3
Step-by-step explanation:
Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.
7. Two numbers are at a ratio of 5: 9. Find the larger number if the smaller number is 35.
Answers
Answer:
63
Step-by-step explanation:
The length and breadth of a rectangle are (2x + 1) cm
and (x + 3) cm, respectively. If the area of the
rectangle is 88 cm^2 ,find:
a. the value of x
b. the perimeter of the rectangle.
Answers
Answer:
Step-by-step explanation:
Area = 88 sq.cm
length * width = 88
(2x + 1)(x + 3) = 88
2x*(x +3) + 1*(x + 3) = 88
2x*x + 2x*3 + x + 3= 88
2x² + 6x + x + 3 = 88
2x² + 7x + 3 - 88 = 0
2x² + 7x - 85 = 0
2x² - 10x + 17x - 85 = 0
2x(x - 5) + 17(x - 5) =0
(x - 5)(2x + 17 )= 0
x - 5 = 0 {Ignore 2x +17 = 0 as it gives a negative value}
x = 5
b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm
breadth = x+ 3 = 5 + 3 = 8 cm
Perimeter = 2*(length +breadth}
= 2* (11 + 8)
= 2 * 19
= 38 cm
3 1/2 units from -2 on a number line. Which numbers, if any could be the value of m
Answers
Answer:
1 1/2 and -5 1/2
Step-by-step explanation:
if you add 3 1/2 to -2 you get 1 1/2
if you subtract 3/12 from -2 you get -5 1/2
Answer the questions below, no links.
Answers
Answer:
[Graph] See attached
[Question] A, C, & E
Step-by-step explanation:
[Graph] 0.4 -> 2/5
() It will go through the origin (0, 0) because we have no b, or y-intercept
() From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc
() See attached
[Question]
() A, C, E
() It is proportional (one to one as it is a straight line) so A is correct
() The slope in y = mx + b is m, and our m is 0.4 so it is the slope
() 3 * 0.4 = 1.2, so E is correct
!!!!!!!!!!!!!!!!!!!2
Answers
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this problem in one step, we just have to look at the graph and see how the line works.
The equation of the line is [tex]y=8x+0[/tex] as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.
In words, after reading our equation, we can see the following
"Every hour Anthony works, he earns 8 dollars".
We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis
Hence our answer would be B.
Cheers!
Simplify the expression and please show all work
-5+i over 2i
Answers
Answer:
2.5i
Step-by-step explanation:
-5/2 = 2.5
+i = 2.5i
Identify the form the following equation is in y = 2/3x - 7
Answers
Answer:
Point slope form
[tex]y=mx+b[/tex]
Define power of 10 rule
Answers
Answer:
A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.
Step-by-step explanation:
Answer:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Step-by-step explanation:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
If you and 2 friends went to dinner and the bill was $57.90 after taxes and you wanted to leave a 25% tip. How much total would you have to pay each? (round to the nearest hundredth)
Answers
Answer:14.48
sorry if it is wrong.
Step-by-step explanation:0.25*57.90=14.475
There are 30 puzzle books on a shelf. The number of puzzle books is 25 of all the books on the shelf.
What is the total number of books on the shelf?
Enter your answer in the box.
books
hurry ill give brainliest answer
Answers
The total number of books on the shelf is 12 books
Given the following parameters
Total number of puzzle books on the shelf = 30 books
If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:
= 2/5 of 30
= 2/5 * 30
= 2 * 6
= 12
Hence the total number of books on the shelf is 12 books
Learn more here: https://brainly.com/question/13885389
Answer:
75
Step-by-step explanation:
PLEASE HELP ME ILL
MARK BRAINLIEST
Answers
Answer:
yeah
Step-by-step explanation:
Name the congruent triangles.
Answers
Answer:
ΔFOX ≅ΔBXO
Step-by-step explanation:
Kross bought 3 cans of paint. The total was less than $60. How much was each can?
inequalities btw!!
Answers
Because we know they bought 3 can and the problem states it is LESS than $60.
Step-by-step explanation:
two equations if you want an inequality
y = -3x + 60
3x <= 60
graph it and you get x = 20 which is your answer
What is the dividend when the divisor is 8 and the quotient is 96 with a remainder of 3?
dividend:
Explain how you found the dividend.
Answers
Answer:
13
Step-by-step explanation:
13÷8=96r3 आओऋअःनबभसजहलव
The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
Let the required dividend would be x
The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question
As per the given question, the solution would be as:
⇒ x ÷ 8 = 96 r3
⇒ x + 3 = 96 × 8
⇒ x + 3 = 768
⇒ x = 768 - 3
⇒ x = 765
Therefore, the required dividend would be 765.
Learn more about the quotient here:
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What is the length of the major axis of 7(x+2)^2+2(y-2)^2=49?
Answers
Answer:
2a=7[tex]\sqrt{2}[/tex] or 7/2
Step-by-step explanation:
hope thats right
Please help me with this.
Answers
Answer:
D
Step-by-step explanation:
a,c,d are same but b is different.
The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?
Answers
Answer:
183
Step-by-step explanation:
percentage=actual/base
B=A/P
B=43.9/0.24
B= 182.9=183
The value of x rounded to the nearest whole number is 183.
What is Percentage?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
As per the given data:
Number = 43.9
The given number is 24% of x.
Percentage = (value / total) × 100
By substituting the given data:
24 = (43.9 / x) × 100
x = (4390/24)
x = 182.91
after rounding off to the nearest whole number
x = 183
Hence, the value of x rounded to the nearest whole number is 183.
To learn more on Percentage, click:
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Please help me please
Answers
Step-by-step explanation:
m +2 = 4
m = 2
x = 1
y +1 = 2
y = 1
z = -1
X= 1
Y=1
Z=-1
This is the answer to the equation.
There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275
Answers
Answer:
I cant see the numbers...
Step-by-step explanation:
Sorry! I can tell you the answer if you comment on this post.
There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?
Answers
Answer:
27
Step-by-step explanation:
221-32=189189/7=27What is cuneiform?
A. a specific style of architecture
B. a method used to create pottery
C. writing system using wedge-shaped symbols
D. an artistic era filled with achievements in art
Answers
Answer: Pretty shure it's C
Step-by-step explanation:
c. writing system using wedge-shaped symbols
Nancy deposits $2500 into an investing account that pays 6.1% annual interest compounded quarterly. What will be the balance after 10 years? Round to the nearest cent.
Answers
Step-by-step explanation:
P=principle balance
r= interest rate
n= no. of times interest compounded per year
t= time period.
[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]
BRAINLIST PLS
Based on the information given the balance after 10 years is $4579.94
Balance after 10 yearsUsing this formula
Amount=P(1+r/n)^nt
Where:
P=principle balance=2500
r= interest rate=6.1%
n= Number of times interest compounded per year=4
t= time period=10 years
Let plug in the formula
Amount=2500(1+0.061/4)^4×10
Amount=2500(1+0.01525)^40
Amount=2500(1.01525)^40
Amount=$4579.94
Inconclusion the balance after 10 years is $4579.94
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Please help
A
B
C
D
E
F
Answers
Answer: B. SAS or/and E. HL
Step-by-step explanation:
The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.