Answers
Answer:
1. Multiply the first equation by 3
3(x + y ) = 3(-2)
3x + 3y - 6
2. Add 3x + 3y = - 6 ( obtained in step 1) to
2x - 3y = - 9 (given) and solve for x
3. x = - 3
4. Substitute the value of x in the first equation
( x + y = - 2) to get y = - 1
5. The solution for the linear system of equations is ( - 3 , 1)
Hope this helps you
Related Questions
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answers
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
if the standard deviation of a variable is 8, what is the variance?
Answers
Answer:
r]
Step-by-step explanation:
Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9?
Answers
Answer:
36/25
Step-by-step explanation:
((7*3*2)/7*5)^2 * ((7^0)/(5^-3))^3 * 5^-9
(42/35)^2 * (1/5^-9) * 5^-9
36/25 * 5^9 * 5^-9
36/25 * 5^(9-9)
36/25 * 1
Answer:
35/25
Step-by-step explanation:
i hope this helps
I've already done the first part of the question but i have to write it so others can be able to answer my second. i'd be grateful if anyone could give a quick response! Given that €1 = £0.75 a. How much is €530 in £? b. What is the £ to € exchange rate? Hint: It can be helpful to think of it like this: if €1 = £0.75, then €100 = £75 Now work out what £1 is worth.
Answers
Answer:
£398
Step-by-step explanation:
€530 = £0.75
530 x 0.75 = £397.50
You round this of to the nearest whole number:
£398
On December 31, 2018, a share of a cosmetics company was worth $53.85. If the company
paid a year-end dividend of $4.75 per share, what is the dividend yield of the shares of the
company?
Answers
Answer:
Step-by-step explanation:
%($4.75 divided by 53.85) or is it the other way around. I always get these confuzzled.
Hope this helps some. That is the equation to solve for it. Sorry I wasn't much help on this subject
Answer:
it is 8.82% i did the test
Which statement is true regarding the diagram of circle P? The sum of y and z must be 2x. The sum of y and z must be One-halfx. The difference of z and y must be 2x. The difference of z and y must be One-halfx.
Answers
Answer:
The difference of z and y must be 2x.
The statement that will be correct is, the difference of z and y must be 2x, the correct option is C.
What is Angle of Intersecting Secants Theorem?According to Angle of Intersecting Secants Theorem, If two chords extended as secants intersect outside a circle , then the measure of the angle formed by the secants is half the difference of the measures of the intercepted arcs .
The measure of the intercepted arc is z and y
and the measure of the angle formed is x
According to the theorem, the measure of x = ( z-y) /2
The missing image is attached with the answer.
To know more about Angle of Intersecting Secants Theorem
https://brainly.com/question/15601706
#SPJ2
Under what conditions are we allowed to add or subtract radicals together?
Answers
Answer/Step-by-step explanation:
The conditions where we are allowed to subtract or add radicals together is when the radicands, which is the number inside the radical, of both radicals are the same. And also, when they both have the same indices, that is, for example, they have the same root.
Take for example the following radical expression:
[tex]4\sqrt{2} + 3\sqrt{2}[/tex]
Both radicals, [tex]4\sqrt{2} and 3\sqrt{2}[/tex], have the same radicand, [tex]\sqrt{2}[/tex] , and also the same index of square root.
Therefore, they are regarded as like terms, and can be added or subtracted together.
Thus,
[tex]4\sqrt{2} + 3\sqrt{2} = 7\sqrt{2}[/tex]
36. The top of a gazebo in a park is in the shape of a
regular pentagonal pyramid. Each side of the
pentagon is 10 feet long. If the slant height of
the roof is about 6.9 feet, what is the lateral
roof area?
A 34.5 ft2
B 50 ft2
C 172.5 ft2
D 250 ft2
Answers
Answer:
C. 172.5 ft²
Step-by-step explanation:
area of triangular roof piece is 1/2(10)(6.9) = 34.5
there are 5 of them so 34.5 x 5 = 172.5 ft²
(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?
Answers
Answer:
1 hour 12 minutes or 1.2 hours
Step-by-step explanation:
You add fractions to get this.
1 room/3 hours + 1 room / 2 hours = 1 room / x
0.33333333+0.5 = 1 room / x
0.83333333 = 1 / x Multiply both sides by x
0.83333333x = 1 Divide by 0.8333333
x = 1/0.833333
x = 1.2 hours or
x = 1 hour and 12 minutes
50 points, show your work. This table shows the battery life of 4 different mobile phones: Phone A: 20 hours Phone B: 25 hours Phone C: 10 Hours Phone D: 18 hours. If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day? Phone A Phone B Phone C Phone D
Answers
Answer:
phone c :)
Step-by-step explanation:
Which number is an irrational numbe?
Answers
Answer:
Option D
Step-by-step explanation:
=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written in the form of [tex]\frac{p}{q}[/tex] which is one of the most important characteristics of rational number.
=> The simplified form of [tex]\sqrt[3]{16}[/tex] is [tex]16 ^{1/3[/tex].
Answer:
[tex]\boxed{\sqrt[3]{16}}[/tex]
Step-by-step explanation:
Irrational numbers cannot be expressed as a fraction in the form [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are whole integers.
[tex]\sqrt{100} =10[/tex]
[tex]\frac{1}{8} = \frac{1}{8}[/tex]
[tex]-2.2675=\frac{-907}{400}[/tex]
[tex]\sqrt[3]{16} = 2.51984209979...[/tex]
The initial count of a certain type of bacteria in a culture is 350. If the bacteria grows at the rate of 20% per hour, which
function models the number of bacteria after t hours?
Answers
Answer:
70
Step-by-step explanation:
[tex]\frac{20}{100}*350=70[/tex]
The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?
Answers
Answer:
18
Step-by-step explanation:
There would be four faces on the top, left, bottom, and right. That equals 16. (4x4)
There would also 1 on each end, so you have to add 2. That equal 18.
This is assuming you paint the faces on the bottom. If you didn’t, the answer would be 14. (But it doesn’t say not to paint them.)
FIRST GETS BRAINLLEST If you spin the spinner below 240 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 131 times B) Lands on yellow 95 times C) Lands on red 95 times D) Lands on blue 210 times
Answers
Answer:
it is d
Step-by-step explanation:
it is because d has more parts so it would land on it more then yellow and have a higher chance to land on blue
hope this helps
Answer:
C is the most reasonable.
Step-by-step explanation:
So we can put it in a ratio of 4:3:1. Then add all those up and do 240/8 which is 30. So each number in the ratio is 30. Then we do 4*30=120. 3*30=90. 1*30=30. Both red and blue are close to there answers but red is closer.
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answers
Answer:
1) TRIANGULAR PRISM
3) d. 144 cm3
Step-by-step explanation:
1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism
2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.
3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3
Answer:
Triangular prism.
Step-by-step explanation:
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answers
Answer:
y = |x - 1|
Step-by-step explanation:
This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answers
Answer:
The length of AB is 6
Step-by-step explanation:
Graph the question out.
Count from A to B
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.
Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.
Answers
Answer:
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex] and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex] and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
Step-by-step explanation:
Domain is the set of input values or x-values.
Range is the set of output values or y-values.
According to the relation mapping diagram, the relation is
[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]
So,
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]
[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
In the graph 5 points are plotted. So, the relation is
[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]
So,
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]
[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
Select the best answer for the question.
2. Find the sum of the first 8 terms of a geometric series in which a1 = 3 and r= 2.
Answers
=============================================
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
----------
We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.
Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.
Answer: Answer: 765
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
84"
7'
A
B
Given the conversion factor 12 in, which line segment is longer?
O A. Line segment A
O B. Line segment B
O C. They are the same size.
Answers
f(x) = 28 + 10x²; solve for f(1) and f(27)
Answers
Answer:
f(x) = 28 + 10x²
For f(1) substitute 1 into f(x)
That's
f(1) = 28 + 10(1)²
= 28 + 10
= 38f(27) = 28 + 10(27)²
= 28 + 7290
= 7318Hope this helps you
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? Question 13 options: A) ab=ba B) cd=ab C) db=ac D) cb=ab
Answers
Answer:
i think A
plz correct me
Step-by-step explanation:
How many houses have an area less than 100^2m?
Answers
Answer:
4
Step-by-step explanation:
Each bar represents a range in area. The first bar represents the number of houses with an area of more than 50 but less than 100. It's height is 4, so there are 4 of those houses.
The focus of the problem set is to show your ability to prove similarity between two triangles that are congruent. True False
Answers
Answer:
true bc i am smart
Answer:
the answer is TRUEStep-by-step explanation:
Need help asap plz ill rate 5 star (only right answer please)
Answers
Answer:
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
Step-by-step explanation:
Given
[tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Required
Simplify and categorize the result based on their degree and number of terms
Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]
[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]
Open bracket
[tex]6x^2 + 2x - 3x - 1[/tex]
[tex]6x^2 -x - 1[/tex]
By degree: Quadratic
By number of terms: Trinomial
Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]
Open bracket
[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]
[tex]7x^2 + 3x -7x^2 + 4[/tex]
Collect like terms
[tex]7x^2-7x^2 + 3x + 4[/tex]
[tex]3x + 4[/tex]
By degree: Linear
By number of terms: Binomial
Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
Open brackets
[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]
[tex]20x^2-36x+28-20x^2+36x-26[/tex]
Collect like terms
[tex]20x^2-20x^2-36x+36x+28-26[/tex]
[tex]2[/tex]
By degree: Constant
By number of terms: Monomial
HELPPPP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answers
Answer:
26
Step-by-step explanation:
Let's find first the lower quartile in both A and B
steps:
look for the smallest sum of two consecutive numbers divide by 2 to get the lower quartile A73 and 75 are the smallest consecutive numbers
73+75 = 148 148/2 =74The lower quartile in A is 74
B47 and 49 are the smallest consecutive numbers
47+49 = 9696/2 = 48The lower quartile in B is 48
74-48 = 26Answer:
29
Step-by-step explanation:
To find the lower quartile of each you need to find the median to split them into 2 groups (upper and lower quartile).
Lower quartile of Set A: 73, 75, 79, 81, 84, 85
Lower quartile of Set B: 47, 49, 51, 51, 55, 56
Now you find the median of the 2
Set A: 80
Set B: 51
Lastly you subtract A & B and get 29
∠Q and ∠R are complementary. If m∠Q = 33.8°, what is m∠R ? m∠R = 146.2° m∠R = 33.8° m∠R = 123.8° m∠R = 56.2°
Answers
Complementary angles add together to equal 90 degrees.
R = 90 - 33.8
R = 56.2 degrees.
Please I need help on 1 and 2. Thank you.
Answers
Answer:
1. C
2. 55°
Step-by-step explanation:
So, we know that for an angle with its vertex inscribed on the circle, the arc it opens up to is twice the angle's measure, so we can get m∠ADE = 1/2(measure of arc AE), which is C.
Now we can input the measure of arc AE into the equation. So, m∠ADE = 1/2 * 110, and we can find out that m∠ADE = 55°.
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I hope this helps, let me know if you have any questions.
A school trip requires students to score at least a total of 335 points on four tests. Each test is worth 100 points. If a student's scores on the first three tests
were 77, 95, and 82, what score would the student need on the last test to have no less than 335 points ?
O A. 79
OB. 75
O C. 93
O D. 81
Answers
Answer:
D. 81
Step-by-step explanation:
You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.
Answer:
D. 81
Step-by-step explanation:
To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.
posts does Tom need and what are the
dimensions of the fence?
I postdyards Therefore, Dimensions are
A bag of marbles can be shared equally among 3,
or 6 students with none left over. What's the least
amount of marbles that can be in the bag?
If there are 150 people born in the world every
minute; how many are bom every Hour? Day?
Year?
Answers
Answer:
1) 3 marbles
2) The number of people born every hour is 9000 people
The number of people born every day is 216,000 people
The number of people born every year = 78,840,000 people
Step-by-step explanation:
1) The given information are;
The number of students = 3 or 6
Amount of marbles remaining after sharing = None
Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles
The least amount of marbles that can be shared equally among the students = 3 marbles
2) The number of people born int eh world every minute = 150 people
The number of minute in one hour = 60 minutes
∴ The number of people born every hour = 150 × 60 = 9000 people
Given that the number of hours in one day = 24 hours
∴ The number of people born every day = 9000 × 24= 216,000 people
Given that the number of days in one year = 365 days
∴ The number of people born every year = 216,000 × 365= 78,840,000 people