Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answers
Solution:
x + y = 11, -x = -y - 9
~Isolate x in [ x + y = 11 ]
x = 11 - y
~Substitute x in the other equation
-(11 - y) = -y - 9
~Simplify
-11 + y = -y - 9
y = -y + 2
2y = 2
y = 1
~Substitute y in the first equation
x + 1 = 11
~Simplify
x = 10
Therefore, the solution to the system of equations is (10, 1)
Best of Luck!
Related Questions
Help ASAP. what is this asking me to do
Answers
Answer:
It's asking you to write the function in a factored form for example g(x) or f(x) that's why its asking for you to use the x as the variable.
Step-by-step explanation:
Which of the following best describes the slope of the line below?
O A. Undefined
O B. Negative
O c. Positive
O D. Zero
Answers
Answer:
zero or undefined
Answer:
it's d zero.
Step-by-step explanation:
just took the test
how can you tell that 4:1 and 12:3 are equivalent ratios?
Answers
Answer:
They are equivalent.
Step-by-step explanation:
You can tell because 4:1 can go into 12:3.
If you multiply 4 by 3 you will get 12.
If you multiply 1 by 3 you would get 3.
12:3=4:1
Hope this helps!
Step-by-step explanation: Two ratios are equal if the fractions that represent the are equal.
So we first write the ratios 4 : 1 and 12 : 3 as the fractions 4/1 and 12/3.
Now, to determine whether the two fractions are equal,
we write each fraction in lowest terms.
Notice that 4/1 or 4 is already in lowest terms.
So let's move on.
12/3 can be simplified to 4.
So we have 4 = 4 which is true.
So that's how we know the ratios 4 : 1 and 12 : 3 are equal.
What is the product of (7/8)(-16)(-7)(- 1/14)
Answers
Answer:
-7
Explanation:
7/8 x - 16 x -7 x -1/14 = -7
Answer: -7
7/8 x -16 = -14
-14 x -7 = 98
98 x 1/14 = -7
ANSWER IS -7
Help please. (Given: y ∥ x Prove: m∠5 + m∠2 + m∠6 = 180)
Answers
Answer:
Step-by-step explanation:
Concepts used :
sum of angles at a point on straight line is 180
if a transversal intersects two parallel lines then alternate angles are equal.
____________________________________________
∠∠∠∠∠
m∠1 + m∠2 + m∠3 = 180 ____________(A)
reason :sum of angles at a point on straight line is 180
these angles lie on LAM at point A
m∠1 = m∠5
Reason: alternate angles y ∥ x and AC is transversal
m∠3 = m∠6
Reason: alternate angles y ∥ x and AB is transversal
Substituting m∠1 with m∠5 and m∠3 with m∠6
in equation A---m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Answer:
The answers are below. Hope this helped. I sacrificed my answers ˙-˙ :)
Step-by-step explanation:
<1 congruent to <5 Given
<3 congruent to <6 Alternate Interior Angles theorem
m<1 = m<5 Alternate Interior Angles theorem
m<3 = m<6 Definition of congruent angles
m<1+m<2+m<3=m< LAM Definition of congruent angles
m<1+m<2+m<3=180 Angle additon postulate
m<5+m<2+m<6=180 Definition of straight angle
what is the recursive formula for this geometric sequence? 2,-10,50,-250,...
Answers
Answer:
an = an-1 * (-5)
a1= 2
Step-by-step explanation:
The recursive formula is
an = an-1 * r
a1= initial term
where a1 is the initial term and r is the common ratio
a1 =2 or the starting term
r = second term / first term = -10/2 = -5
an = an-1 * (-5)
a1= 2
Answer:
The correct answer is D
Step-by-step explanation:
2 and -5
Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4
Answers
Answer:
A ≈ 254.5 in²
Option C
Step-by-step explanation:
Area of a Circle Formula: A = πr²
d = 2r
Since we are given diameter d, we simply divide by 2 to get radius r:
r = 18/2 = 9
Then we simply plug it into the formula:
A = π(9)²
A = 81π
A = 254.469
A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.
Hence, the correct option is C.
The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:
In this case, the radius is 9 inches, so the area of circle is given by,
Area = pi × [tex]9^{2}[/tex]
Area = 3.14 × 81
Area= 254.3
The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.
Learn more about area here: brainly.com/question/30307509
#SPJ2
9 cans of paint are needed to
paint 4 rooms. Exactly how
many cans of paint are needed to
paint 10 rooms? How many cans
of paint should be purchased?
Exact:
Purchased:
Answers
Answer:
Step-by-step explanation:
Write and solve an equation of ratios:
9 4
----- = -----
x 10
Then 4x = 90, and x = 22.5
It will take exactly 22.5 cans of paint to cover 10 rooms. The painter must buy 23 cans.
Thuy rolls a number cube 7 times. Which expression represents the probability of rolling a 4 exactly 2 times? P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) squared (one-sixth) Superscript 5 Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) Superscript 5 Baseline (five-sixths) squared Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5 Subscript 7 Baseline C Subscript 2 Baseline (two-sixths) squared (four-sixths) Superscript 5
Answers
Answer:
Rolling a 4 on the first try has a probability of (1/6). Meaning, it is one event out of the six possible events of the die. Rolling a 4 a second time also has a probability of (1/6), because nothing has changed on the die.
Answer:
Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5
Step-by-step explanation:
The answer above is correct.
PLEASE HELP!!!!
Find the product. Write your answer in
exponential form.
2^6•2^-5
Answers
Answer:
2^1
According to the product of powers with the same base, a^m * a^n = a^m+n.
Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.
2^6 * 2^-5
The bases are the same, so we can apply this rule.
6 + -5 = 1
This gives you the answer of 2^1.
There is $500 in each of three envelopes. The first envelope contains only $10 bills, the second envelope contains only $20 bills, and the third envelope contains only $50 bills. One bill is taken out of one of the envelopes, two bills are taken out of another envelope, and three bills are taken out of the remaining envelope (in any order). What is the least possible amount, in dollars, that can be taken out?
Answers
Answer:
order:
-3 bills from first envelope (-30 dollars)
-2 bills from second envelope (-40 dollars)
-1 bill from third envelope (-50 dollars)
total least possible amount that can be taken out: 120
Step-by-step explanation:
Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.
Answer:
$120
Step-by-step explanation:
So this question isn't hard either
We can cross out excess information and just find the main points.
a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills
b. 1-3 bills are taken out of each envolope
c. It wants you to find the least possible amt. that could have been token out.
So since we want the least, we must take the smallest out of the largest
In order, 1 from 50 (largest)
2 from 20 (middle)
and 3 from 10 (smallest)
this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120
Thus, we have our answer 120
Hope this helps!
Martina creates the graph of function g by applying a transformation to function f
f(x) = 4^x-2
g(x) = 4^x+7
Which transformation did Martina apply?
Answers
Answer:
A
Step-by-step explanation:
f(x)=4^x-2
g(x)=4^x+7
it is horizontal shift 9 unit to the left
hope it works
Answer:
A: A horizontal shift of 9 units left
Hope this helps! :D
Step-by-step explanation:
PLEASE HELP
Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume
Answers
9514 1404 393
Answer:
Cone Z, cylinder Y
Step-by-step explanation:
Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.
The figures described as having that relationship are ...
cone Z, cylinder Y
_____
Additional comment
The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.
What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram
Answers
Answer:
A square
Step-by-step explanation:
Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).
Square shape will you get if you take a cross section of a square pyramid parallel to its base
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%
Answers
Answer:
15%
Step-by-step explanation:
25% fail math
60% of the 25% above fail science
thus,
[tex] \frac{25}{100} \times 60\%[/tex]
=15% of total student
Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
Answers
Answer:
√2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4(extraneous) ,x=14
—> x=14
Step-by-step explanation:
Answer: (14,6)
Step-by-step explanation:
Right on edg 2022.
This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.
Answers
Answer:
*regular-sized hot dog contest has greater variability
*The difference in the medians of the two contests is approximately 2 times the interquartile range.
Step-by-step explanation:
Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.
The greater the value of the range or interquartile range, the greater the variability.
Range for regular-sized hot dog contest = 32 - 17 = 15
Range for Jumbo-sized hot dog contest = 22 - 8 = 14
Interquartile range for regular-sized hot dog contest = 27 - 22 = 5
Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5
Median for regular-sized hot dog contest = 23
Median for jumbo-sized hot dog contest = 14
The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)
Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.
The difference in the medians of the two contests is approximately 2 times the interquartile range.
The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).
Help please, I'm not timed
Answers
Answer:
B 30% you can divide 160 the total by 10then multiply and you can check B and C
Please help with this
Answers
Find the vertex of the function given below.
y= x2 - 6x +1
Answers
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
The diagram shows a solid shape.
The volume of the cone is 270 cm.
Work out the volume of the solid shape.
Give your answer in terms of pi
Answers
Answer:
[tex]756\pi[/tex]
Solution,
Volume of cone=270 pi cm^3
[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]
Volume of semisphere:
[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]
Total:
[tex]270\pi + 486\pi \\ = 756\pi[/tex]
hope this helps...
Good luck on your assignment..
solve the math problem please
Answers
Answer:
B, x≥2
Step-by-step explanation:
54 - 10x ≤ 20 + 7x - subtract 20
34 - 10x ≤ 7x - add 10x to 7x
34 ≤ 17x - divide 34 by 7
2 ≤ x - flip the equation - x ≥ 2
Hope this is helpful!
Answer:
Choice B
Step-by-step explanation:
TRUST ME. IF YOU WANT EXPLANATION:
54 - 10x < = 20 + 7x
54 - 20 < = 7x + 10x
34 < = 17x
34/17 < = x
2 < = x.....or x > = 2....its B trust me
Which Anna quality graft is the solution to X/ < -3
Answers
Answer:
Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.
A father requires his son to do chores for 4 to 6 hours a week. If the son wants to do
chores daily, how many hours per day is this (in interval notation)?
Answers
Answer: 5 hours and 15 mins
Step-by-step explanation: 45 mins x 7 = 5 hours and 15 mins. I checked so it should be correct. [tex]45x2= 1[/tex]hour and 30 mins.So I multiplied 1 hr 30 x 3 which gave me 4 hr 30 then added 45 mins, then I got 5 hr 15 min.
So in conclusion the answer is 5 hours and 15 mins.
Thank You
Solve the system of equations and choose the correct ordered pair. 3x-5y+2=21 and 2y=7x+4
Answers
Answer:
(-2 ; -5)
Step-by-step explanation:
2*y = 7*x + 47*x - 2*y = -4
(7/2)*x - (2/2)*y = -4/2
(7/2)*x - y = -2
(7/2)*x + 2 = y
3*x - 5*y + 2 = 213*x - 5*y = 21 - 2
3*x - 5*y = 19
3*x - 5*[(7/2)*x + 2] = 19
3*x - 35/2*x - 10 = 19
- 29/2*x = 29
- 1/2*x = 1
x = -2
⇒ y = -5
Answer : (-2 ; -5)
PLs help me pls ssssssssssssssssss
Answers
Answer:
The answer is p/6-4/5.
hope it helps
Answer:
no
Step-by-step explanation:
What is the approximate value of x in the diagram below? use one of the trigonometric ratios in the table.
Answers
Answer:
x = 31.64
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 36 = 23/x
x tan 36 =23
x = 23/tan 36
x=31.63686382
Rounding to 2 decimal places
x = 31.64
Answer:
D. 31.64
Step-by-step explanation:
Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.
Answers
Answer:
y = -x + 7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Step 1: Find slope
m = (6 - 3)/(1 - 4)
m = -1
Step 2: Find b
y = -x + b
6 = -1 + b
b = 7
Step 3: Rewrite linear equation
y = -x + 7
Answer:
y = -x + 7
Step-by-step explanation:
(x1, y1) = (4 , 3)
(x2, y2) = (1 , 6)
[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]
m = - 1; (4,3)
y - 3 = (-1)(x -4)
y - 3 = -x + 4
y = -x + 4 + 3
y = -x + 7
The quotient is ??
The remainder is ??
Answers
Answer:
The quotient is 10x + 16
The remainder is 28x² + 10x + 22
Step-by-step explanation:
x³ - 3x² + x - 2) 10x⁴ - 14x³ - 10x² + 6x - 10 (10x + 16
10x⁴ - 30x³+ 10x² - 20x
16x³ - 20x² + 26x - 10
16x³ - 48x² + 16x - 32
28x² + 10x + 22
Therefore, the quotient is 10x + 16
The remainder is 28x² + 10x + 22
Easy enough!!! BRAINLIEST AWARDED IF YOU GET IT RIGHT! Solve the problems:
Answers
Answer:
line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.
answers to pairs of angles:
7. opposite interior angles
8. opposite interior angles
9. adjacent interior angles
10. corresponding angles
11. opposite interior angles
Hope it helps
Step-by-step explanation: