Answer:
The system of equations has no solution.
Step-by-step explanation:
Let the following system of linear equations:
[tex]x +2\cdot y + z = 6[/tex] (1)
[tex]2\cdot x + y + 2\cdot z = 6[/tex] (2)
[tex]x + y + z = 5[/tex] (3)
Since the quantity of equations and variables are the same, there is only one solution to this system. First, we clear [tex]x[/tex] in (3):
[tex]x = 5 - y - z[/tex]
And make substitution both in (1) and (2):
[tex](5-y-z) +2\cdot y + z = 6[/tex]
[tex]2\cdot (5-y-z)+y+2\cdot z = 6[/tex]
[tex]y = 1[/tex] (4)
[tex]y = 4[/tex] (5)
Which lead to a contradiction, since [tex]4\ne 5[/tex]. Therefore, the system of linear equations has no solution.
Solve the equation. Show the process, not just an answer. 6.EE.7
1) 4k = 24
2) 34 + h = 60
3) 1/5x = 30
4) m-42 = 85
Isolate the variable, note the equal sign, what you do to one side, you do to the other.
1) 4k = 24
Isolate the variable, k. Divide 4 from both sides of the equation:
(4k)/4 = (24)/4
k = 24/4
k = 6
2) 34 + h = 60
Isolate the variable, h. Subtract 34 from both sides of the equation:
34 (-34) + h = 60 (-34)
h = 60 - 34
h = 26
3) 1/5x = 30
Isolate the variable, x. Multiply 5 to both sides of the equation:
(5) * (1/5)x = (30) * (5)
x = 30 * 5
x = 150
4) m - 42 = 85
Isolate the variable, m. Add 42 to both sides of the equation:
m- 42 (+42) = 85 (+42)
m = 85 + 42
m = 127
~
Please help with this
Answer: The answer is the first choice that states “ASA”.
Step-by-step explanation: ASA means angle, side, angle. From T - Q in triangle STQ it goes from angle, side, angle. From P - M in triangle NPM it also goes from angle, side, angle.
Last week Besty made an 80 on her quiz. This week she made a 75. What is the percent of decrease in her score?
Find the unknown length x in the right triangle, to the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
sin 40 = x/21
0.6428 = x/21
x = 13.5
if f(x) = -x^3 + x^2 + x, find f(-2)
Answer:
Hope this helps let me know
Answer:
-(-2)^3 + (-2)^2 + -2
2^3 -2^2 -2
8+4-2
=10
HEEEEEEEEEEEELLLLLLLLLLPPPPPPPPP ME
Answer:
it's (A) because the x axis contains the number of hours he worked while the y axis contains the money he makes per hour
Answer:
A
Step-by-step explanation:
Check the points:
(1,15) is 15/1
(2,30) is 30/2 which equals 15/1
Write with numbers:
32
Four hundred sixty seven and
100
Timothy Darling wants to buy a new car. He has been pricing a new car that has a base price of $18,905.00. He is interested in several options that total $4,125.50. The destination charge is $600.00. Find the sticker price
Please help! Thank you, Picture down Below!
Answer:
A.24
Step-by-step explanation:
that is the.value of x
Answer:
(5x + 15)⁰+ (3x - 3⁰) = 180⁰ ( same side on interior angle theorm)
(8x + 12)⁰= 180⁰
8x = 168⁰
x = 21
Hope it helps u
Which of the following is considered a trinomial 5x ^ 2 - 3x + 5 4x ^ 2 + x - 5 (x ^ 2)/5
Answer: 4x^2 +x-5
Step-by-step explanation:
Of the 292 students at Central Middle School, 25% are on the honor roll.
How many students are on the honor roll?
Answer:
73 students
Step-by-step explanation:
0.25×293=73
HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
Answer:
Option A
x + 2x + x + 15 = 100
Step-by-step explanation:
Shortest side = x
One side twice length of Shortest side = 2x
Another side 15 more = x + 15
Hence, perimeter
=> x + 2x + x + 15 = 100
Last year, 20% of all claims were for weather-related damage (excluding floods), with an average weather-related damage claim being $6,500. What is the expected value (loss or gain) per weather-related claim to Acasa for every customer who chooses plan B?
-$1,380
-$180
$100
$1,180
Acasa Insurance Company offers several plans for home insurance.
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
Answer:
100
Step-by-step explanation:
i got it right on the test !!
Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?
Answer:
He made $414.90 in all.
Step-by-step explanation:
56.25 * 6 = $337.50
25.80 * 3 = $77.40
77.40 + 337.50 = $414.90
A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9
Answer:
1/12
Step-by-step explanation:
Round 2,389.3 to the nearest ten
Answer:
2,390
Step-by-step explanation:
Answer:
Step-by-step explanation:
2390
Hope that helps!
Find the area of the figure.
7 cm
8 cm
11 cm
The area is
square centimeters.
Answer:
let's divide the figure in rectangle and triangle.
first we should find the area of triangle.
area of triangle =1/2×base×height
area of triangle=1/2×11cm×7cm
area of triangle=38.5cm²
area of rectangle =length ×width
area of rectangle =11cm×8cm
area of rectangle =88cm²
area of the figure=38.5cm²+88cm²
area of the figure=126.5cm²
PLEASE HELP I'LL GIVE BRAINILLEST!!!
Answer:
Step-by-step explanation:
Eu não lembro como fais desculpa preciso dos pontos para minha pergunta desculpa mesmo
What is the volume of this prism?
23.9
47.7
9.0
4.5
PLEASE HELP ME!!!! PLEASE
The number of unique page views on a website is measured each day. The daily views are expressed in the table using scientific notation.
Sunday: 3.4 x 10^3
Monday: 5.37 x 10^4
Tuesday: 1.2 x 10^4
Wednesday: 9.623 x 10^3
Thursday: 2.79 x 10^4
Friday: 6.821 x 10^4
Saturday: 7.954 x 10^3
The number of views on the day with the most views is how many times as great as the number of views on the day with the fewest views?
A.) 5
B.) 8
C.) 10
D.) 20
E.) 34
make x the subject of mx+a=nx-2
step by step answer please
Answer:
x=
[tex] - (2 + a) \div m - n[/tex]
using my last points: HELP!
A car drives ninety-one miles on seven gallons of gas. How many miles does the car
travel per gallon?
Answer:
13
Step-by-step explanation:
I’ll give points and brainalist for answer / explanation
Answer:
C. 678 in²Step-by-step explanation:
Area of circle: A = πr²foot to inch: 1 ft = 12 inGiven radius of concentric circles:
0.5 ft = 6 in1 ft = 12 in1.5 ft = 18 inThe shaded area:
Area of big circle - area of middle circle + area of small circleπ(18²) - π(12²) + π(6²) ≈ 678 in²Correct choice is C
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Which expressions are equivalent to 6.6.6.6.6? Choose 2 answers
Answer:b and c
Step-by-step explanation:
answer please.. need asap. algebra
1. The rules for adding and subtracting rational expressions are the same as
the rules for adding and subtracting numerical fractions. *
True
False
Mr. Higgs measures the perimeter of a common shape. One of the sides is 8 centimeters and the perimeter is 24 centimeters. If all of the sides are the same length what shape does Mr. Higgs measure?
Answer:
an equilateral triangle
Step-by-step explanation:
perimeter of an equilateral triangle is :
length of the side multiplied by 3
24 = 8 x 3
therfore its an equilateral triangle
Out of 84 students in the school Sports club, 32 students opted for Athletics, 24 students opted for
Cricket and the rest opted for Tennis. Find the ratio of the following in the simplest form.
a) Ratio of number of students opted for Athletics to total number of students.
b) Ratio of number of students opted for Cricket to number of students opted for Tennis.
Answer:
a. 32:84 so simplified it becomes 8:21
b. 24:28 so simplified it becomes 6:7
Answer:
a) 8:21
b) 13:41
Step-by-step explanation:
a) 32:84
=8:21
b) 24:26
12:13