The system of equations with the solution are 2x + y - z = 5, 5x - 3y + 4z = 7 and -6x -7y + 2z = -19.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solution to this system will give us the solution to the considered equation.
Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
The system of equations with the solution (2, 1, 0) is;
2x + y - z = 5
The system of equations with the solution (5, -3, 4) is;
5x - 3y + 4z = 7
The system of equations with the solution(-6 , -7, 2) is;
-6x -7y + 2z = -19
The complete question is
"Write a system of equations with the solution (2, 1, 0) is 5, (5, -3, 4) is 7 and (-6 , -7, 2) is -19."
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Gretchen measured the length of her toaster, to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found it measured 9 1/4 inches. Who used a more precise measurement?
Write and solve using a proportion to find the missing length
Answer:
n = 2.6
Step-by-step explanation:
6.5 : 5
n : 2
6.5/5 = 1.3
2 x 1.3 = 2.6
n = 2.6
i hope this helps
5. Given: SR and ST are straight lines.
SX = SY
XR =YT
Prove: RSY = TSX
:) help me
Answer:
. Bisector cut a segment into 2 ≅ parts. 3. Intersect lines form vertical ∠ ... Prove: EC ≅ FB ... Prove: AD ≅ CB ... or SR ≅ ST Side ... SX + XR ≅ SY + YT.
Step-by-step explanation:
In the given triangles, as per given conditions ΔRSY≅ Δ TSX by SAS (Side Angle Side) theorem.
What is triangle?" Triangle is defined as the two dimensional geometrical shape with three vertices , three sides, and three angles enclosed in it."
Theorem used
SAS theorem ( Side angle side)
In given triangles, corresponding sides and included angle of one triangle is equals to corresponding sides and included angle of another triangle , then triangles are said to be congruent.
According to the question,
Given,
In a triangles,
SX ≅ SY ______ [tex]( 1)[/tex]
XR ≅ YT ______[tex]( 2 )[/tex]
Add [tex](1)[/tex] and [tex](2)[/tex] we get,
SX + XR ≅ SY + YT
⇒SR ≅ ST ____[tex](3)[/tex]
In triangle ΔRSY and ΔTSX,
SY ≅ SX ( given)
∠RSY ≅∠TSX ( Common angle)
SR ≅ ST (from [tex](3)[/tex] )
By SAS theorem (side angle side theorem ) stated above we get,
ΔRSY≅ Δ TSX
Hence, ΔRSY≅ Δ TSX by SAS theorem as per the given condition of a triangle.
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ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
Answer:
2nd one.
Step-by-step explanation:
Do you guys know this?
Answer:
yeah it's B
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
answer is d
Step-by-step explanation:
4+3=7
2i+I=3i
What is the probability that a randomly chosen student is a boy that prefers comedy movies?
I NEED HELPPO ASAP
Answer:
12/35
Step-by-step explanation:
i don’t know the decimal but you can figure that out quickly
What is the value of x?
Answer:
98 degrees
Step-by-step explanation:
first find angle G
53 + 45 + G = 180
subtract 45 and 53 from both sides
G = 82
angle g is supplementary (add up to 180) to x
x +82 = 180
subtract 82 from both sides
x = 98
Answer:
x = 98°
Step-by-step explanation:
There are 180° in a triangle, and 180° on a line.
180° - 53° - 45° = 82°
180° - 82° = 98°
1) Juan purchased 3.4 pounds of nails at a cost of $4.50 per pound. What
was the cost of the nails? *
Answer:
the answer is 15.3. hope this helps:)
Step-by-step explanation:
Select the correct answer.
Pat and Quentin collect trading cards. They each began the year with cards already in their collection and buy more cards every month.
The number of cards in Pat’s collection, x months after the start of the year, is modeled by function p:
p(x) = 34 + 16x.
The number of cards in Quentin’s collection, x months after the start of the year, is modeled by function q:
q(x) = 28 + 12x.
Which function correctly represents how many more cards Pat has in her collection than Quentin has in his collection, x months after the start of the year?
A.
(p − q)(x) = 62 + 4x
B.
(p − q)(x) = 6 + 4x
C.
(p − q)(x) = 6 + 28x
D.
(p − q)(x) = 62 + 28x
The expression that represents how many more cards Pat has in her collection than Quentin has in his collection is B. (p − q)(x) = 6 + 4x
What is a expression?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Pat's collection is represented as p(x) = 34 + 16x.
Quentin's collection is represented as q(x) = 28 + 12x.
The difference will now be:
= 34 + 16x - (28 + 12x)
= 34 + 16x - 28 - 12x
= 6 + 4x
Therefore, the correct option is B.
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Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
What number will make the equation true?
0.35+65/100=?/100+65/100
Answer:
The Answer Is 351. The drama club sells 200 pounds of fruit to raise money. The fruit is sold in
5-pound bags and 10-pound bags,
a. Write an equation to find the number of
each type of bag that the club should sell
.
I got the wrong answer. I don't want to keep this up just in case anyone needs the answer to this question again. But I can't delete my answer so I'll just leave this. Have a nice day tho. Sorry about that :(
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
PLS HELP WILL GIFT 50+ POINTS TO THE FIRST PERSON WHO WILL ANSER ANSER AND EXPLAIN THROUGHLY PLZ HELP!!!
Answer: it is invalid
Step-by-step explanation: it is invalid because the data table has 30 out of 100 people stating that they prefer to view movies in theater. This does not have the same ratio as 300 out of 400, and would only work had he said 300 out of 1000. Thus, he is incorrect in his inference.
A triangle has height 4ft and an area 64ft square What is the length of its base?
Answer:the answer is 60
Step-by-step explanation:
The question is “what is the length” so what I think we are supposed to do is to add since the height is 4 and the area is 64 so the length has to be 6
Hope I helped
Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted left 1 unit. B. The graph of h is the graph of g vertically shifted down 1 unit. C. The graph of h is the graph of g vertically shifted up 1 unit. D. The graph of h is the graph of g horizontally shifted right 1 unit.
Answer:
your answer should be, B
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
Write sin 53° in terms of cosine.
Answer:
cos(37°)
Step-by-step explanation:
sin(53°) = cos(90° - 53°)
sin(53°) = cos(37°)
a point
Find the equation of a line when given the slope and a point on the line.
Question:
What is the equation of the line that has a slope of -7 and passes through the point (4,8)?
A
+ 7y = 60
B
7x + y = 36
С
2 - 7y = -52
D
72- y = 20
Answer:
7x + y =36
Step-by-step explanation:
( y- y1) = m(x - x1)
y - 8 = -7( x - 4)
y- 8 =-7x +28
y = -7x +36
7x + y =36
Hi I’m a tutor ask me if you need help
Answer:
are you realy a tutor?
Step-by-step explanation:
39kg 756g + 52kg 670g
Answer:
1517g or 1.517kg
Step-by-step explanation:
Some values of the linear function f are given in the table shown. What is the value of f(100)?
Answer:
f(100) = 160.
Step-by-step explanation:
Linear function:
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).
Finding the slope:
Suppose we have two points. The slope is the change in the output divided by the change in the input.
In this question, we have points (45,50) and (60,80).
Change in the output: 80 - 50 = 30
Change in the slope: 60 - 45 = 15
Slope: 30/15 = 2
So
[tex]y = 2x + b[/tex]
Point (45,50)
This means that when [tex]x = 45, y = 50[/tex]. We use this to find the value of b.
[tex]y = 2x + b[/tex]
[tex]50 = 2(45) + b[/tex]
[tex]b = -40[/tex]
So
[tex]y = 2x - 40[/tex]
With y = f(x)
What is the value of f(100)?
This is y when x = 100. So
[tex]f(100) = 2(100) - 40 = 200 - 40 = 160[/tex]
f(100) = 160.
A data set is made up of these values.
3, 3, 4, 5, 6, 7, 10
Find the interquartile range.
A. 3 - 3 = 0
B. 10 - 7 = 3
C. 7 - 3 = 4
D. 10 - 3 = 7
Answer:
C. 7 - 3 = 4
Step-by-step explanation:
Given
[tex]Dataset: 3, 3, 4, 5, 6, 7, 10[/tex]
Required
The IQR
The IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where:
[tex]Q_3 \to[/tex] Median of the upper [tex]half[/tex]
[tex]Q_1 \to[/tex] Median of the lower [tex]half[/tex]
The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.
Split to two, we have:
[tex]Lower \to 3, 3, 4[/tex]
[tex]Median \to 5[/tex]
[tex]Upper \to 6, 7, 10[/tex]
The lower half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_1 = 3[/tex]
The upper half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_3 = 7[/tex]
So, the IQR is:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 7 - 3[/tex]
[tex]IQR = 4[/tex]
Lola had $235.00 in her savings account. Three months later, Lola had
$136.30 in her account. What was the percent decrease of Lola's savings
account?
Answer: decreased by 42%
Step-by-step explanation:
I don’t know what I’m doing
Answer:
lol
Step-by-step explanation:
Name ____________________________ Class________ Date ____________________________ Directions: Each diagram is formed by two parallel lines and a transversal. Find the value of . Use your answers to navigate through the maze. SHOW ALL STEPS! Show your work
Step-by-step explanation:
How are we supposed to help...?
4) Find the value of k if (-2)k × (-2)3 = (-2)7
Answer:
k = 4
Step-by-step explanation:
(-2)k+1 × (-2)3 = (-2)7
-2k + -6 = -14
- 2k = -14 + 6
- 2k = - 8
k = -8 / -2
k = 4
HOPE IT HELPS ...
PLZZZ.MARK ME AS BRAINLIEST..
A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses:
4, 7, 9, 16, 20, 19, 5, 14
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
Median:
Х
5
?
hours
Mean: hours
Answer:
Median= 14
Mean= 90
Step-by-step explanation:
Median:
Put the numbers in order,
4, 7, 9, 14, 16, 19, 20 Then after that you find the number exactly in the middle. That number ends up to be 14.
Mean:
Add up all of the numbers and then round it to the nearest tenth: 90
Median= 14
Mean= 90
Two fair dice are rolled. Determine the following probability
P(one number is a multiple of 3 and the other is a multiple of 5)
The probability that one number is a multiple of 3 and the other is a multiple of 5 is
5/6 x=12 what is x??????????
Answer:
=72/5
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator