Answers
The value of x and y are equal to -1 and 4 respectively.
Data;
x + y = 32x - y = -6System of EquationTo solve a system of linear equations, we can either use graph, simultaneous or elimination method. In which ever method we choose to use, we can always find the solution to this system of equations.
Kindly find the attached for a graphical representation of the solution.
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The solution to the system of equation is (-1,4)
The system of equation is given as:
x + y = 3
2x - y = -6
Next, we plot the graph of the system of equation
From the attached graph (see attachment), we have the point of intersection to be:
(x,y) = (-1,4)
Hence, the solution to the system of equation is (-1,4)
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Related Questions
Katrina walked 3 and 7/10 miles on Monday and 2 and 5/10 miles on Wednesday. How many miles did she walk in all?
Answers
Answer:
Hello
Step-by-step explanation:
The answer is 6 1/2
determine if the triangles are similar by side-side-side similarity
Answers
Answer:
Side-Angle-Side Similarity Theorem: If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are similar. Side-Side-Side Similarity Theorem: If the corresponding sides of two triangles are proportional, then the triangles are similar.
!!!PLEASE HELP!!!
(Look at the image for the question and answer, it’s multi choice)
Answers
Answer:
4a^3
Step-by-step explanation:
Please check the attached photo.
What is 164.97 multiplied by 9.2
Someone please help!!!!!
Answers
Answer:
1517.724
Step-by-step explanation:
Answer:
1517.724 would be your answer
please help with my problem
20 + 20 × 25²
Answers
Answer:
12520
Step-by-step explanation:
Firstly , we need to find 25²
25 × 25 = 625
Then let us multiply before we add on ,
20 × 25² = 20 × 625 = 12500
12500 + 20 = 12520
And this is the final answer.
Question
20 + 20 × 25²
Answer:
Step by step explanation:
=20 + 20 × 25²
=20 + 20 × (25 × 25)
=20 + 20 × 625
=20 + 12.500
=12.520
results of 12.500 is 12.520
I hope this helps
Catherine Jones has determined the following information about her own financial. Her checking account is worth $850 and her savings account is worth $1200. She owns her own home that has a market value of $119,000. She has furniture and appliances worth $12,000 and a home computer and laptop with 3,000. She has a car worth 12,500. She recently purchased a mutual fund worth $5,500 and she has a retirement account worth 38,550. What is the value of her real estate assets?
Answers
Based on the information given the value of her real estate assets is $119,000.
What is real estate assets?Real estate assets comprise of tangible assets or intangible assets as it has to do with the following:
LandBuilding Rents etc.Based on the given scenario the value of her real estate assets will be the amount of $119,000 which represent the market value of her home which is the value at which the asset will be sold in the market.
Inconclusion the value of her real estate assets is $119,000.
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How many congruent triangles are inside the pentagon and what is the Area of each triangles
Answers
Answer:
five congruent triangles
Step-by-step explanation: The area of the pentagon will be the sum of the five congruent triangles formed. The area of one of these triangles is equal to the side of the pentagon*height/2
hope this helps
Whats the answer????
Answers
Answer:
22
Step-by-step explanation:
a = 14
b = 8
therefore, you just add that and get your answer
SOMEONE PLEASE HELP ILL MARK AS BRAINLIEST AND GIVE 5 STARSSSSS
Answers
Step-by-step explanation:
The first one has x going up by 2's and y going up by 1's. The second has x going up by 1's and y going up by 2's.
2c = c2 - 4 write to verbal expression
Answers
Answer:
Two Times a number equals a number times four minus 4
Step-by-step explanation:
HELP PLeas 15points
(1 gos with 3) (2gos with 4)
Answers
Answer:
Question 1: y=2x
Question 2: y=6x
Question 3 & 4: look at picture
(The equations are also in the picture to show you it is correct)
Elena bought six guppies at the beginning of the month. One month later, the number of guppies in her
tank had doubled. Her guppy population continued to grow in this same manner. (16 pts.)
a. Create a function 9 to model the growth of the Elena's guppy population, where g(n) is the number
of guppies at the beginning of each month and n is the number of months that have passed since
she bought the six guppies.
g(n) =
(2 pts.)
Answers
The growth of the number of guppies is modeled by an exponential function
The function that models the number of guppies is [tex]g(n) =6(2)^n[/tex]
How to model the functionThe initial number of guppies is:
a = 6
The rate of growth of the guppies is:
r = 2
An exponential function is represented as:
[tex]g(n) =ar^n[/tex]
So, we have:
[tex]g(n) =6(2)^n[/tex]
Hence, the function that models the number of guppies is [tex]g(n) =6(2)^n[/tex]
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A person invests 8500 dollars in a bank. The bank pays 6% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 15500 dollars?
Answers
The time required to get a total amount of $15,500.00 with compounded interest on a principal of $8,500.00 at an interest rate of 6% per year and compounded 2 times per year is 10.162 years (about 10 years 2 months)
Compound Interest AnalysisGiven Data
Principal P = $8,500Rate r = 6%Final Amount A = $15500Time t = 1 yearCalculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(15,500.00/8,500.00) / ( 2 × [ln(1 + 0.06/2)] )
t = ln(15,500.00/8,500.00) / ( 2 × [ln(1 + 0.03)] )
t = 10.162 years
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Question: Find the surface area of the prism. 12 in, 4 in, 3 in, 5 in, 6 in, 5 in
Answers
Answer:
i dont kno
Step-by-step explanation:
sorry just needed points
!!ANYONE PLEASE HELP ME OUT!!!
Answers
y = -x+6
y = 1/2x-6.
We can start with the first equation. The y intercept is 6, and I’m coordinate for (0,6). Plot this point first. Next we have the slope -x, or -1. This can be represented as -1/1 or 1/-1. For the first option, we go down by 1 unit and go to the right 1 unit. For the second option, we go 1 unit up and go 1 unit to the left. You can either pick option 1 or 2, and I’ll pick the first option. From our point (0,6), go down 1 unit and go 1 unit to the right. Keep going until you reach the end of the graph. Connect the dots and you have your line.
For the second equation, we have
y = 1/2x-6. Our y intercept is -6 and in coordinate form (0,-6). Plot this point. Next, from our second point, go up 1 unit and go 2 units to the right. Repeat this step until you reach the end of the line. Connect the dots and you have your line.
Hope this helps
The production cost, represented by y, of a Bluetooth device, is equal to the product of labour cost (m) and number of devices (x) in addition to a constant equipment renting fee (q) 1.1 write an equation to represent the production cost in terms of m, x and q. 1.2 Change the subject of the formula in 1.1 to: 1.2.1 m; 1.2.2 q, 1.2.3 x. Determine the cost if labour amounts to R1,245, with an equipment renting fee of R250, to produce 5 devices. 1.4 Suppose the production cost is R 18,925, labour cost is and equipment renting fee is R250, determine the number of devices produced. 1.5 Hence, write down the equation with y as the subject (in terms of x). The value of m and q must e indicated. Discuss whether it is possible that any devices are produced if the production cost is R0,00. 1.7 It is required that the production cost must be less than R123 505. Determine the possible number of devices that will be produced. Show your solution graphically. Use interval notation and indicate the restriction on the number type of your answer. Interpret your answer
Answers
It should be noted that the equation to represent the production cost will be y = mx + q.
How to calculate the equationFrom the information given, the production cost, represented by y, of a Bluetooth device, is equal to the product of labour cost (m) and number of devices (x) in addition to a constant equipment renting fee (q). This will be: y = mx + q.
Changing the subject of the formula to m will be:
y = mx + q
y - q = mx
m = (y - q)/x
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Help would be appreciated.
Find the value of each variable
Answers
Answer:
1. ( 267) A 90)
Step-by-step explanation:
234 5674
5633 772892
733738)=/;:'&
charlie,Dan and ellie each made a paper chain. Charlie's was 9 1/2 feet long. Dans was 6 1/3 feet long and ellies was 8 1/3 feet long. when put together how long were the three chains?
Answers
Answer:
24 1/6
Step-by-step explanation:
Add together all values
-Make all denominators common, so 9 1/2 to 9 3/6 and 8 1/3 to 8 2/6 and
6 1/3 to 6 2/6.
Then add to get 23 7/6
Simplify
Find the area of the composite figure below (help pls)
Answers
Answer:
189.25
Step-by-step explanation:
multiply 15 by 10 to find area of rectangle.
The area of rectangle is 150.
To find area of semicircle 1/2(pi r^2)
divide 10 by 2 to find radius, which is 5
area of semicircle would be 39.27
add 150 to 39.27
the answer is 189.27
189.25 is close enough so that is answer
What is the value of J, given that YZ I VX
9.1
9.2
9.3
9.4
9.6
Answers
Answer:
9.6
Step-by-step explanation:
As YZ is parallel to VX, then ΔWYZ ≅ ΔWVX
⇒ WX : WV = WZ : ZX
⇒ 5.6 : (5.6 + 8.4) : 6.4 : (6.4 + J)
[tex]\implies \dfrac{5.6}{5.6+8.4}=\dfrac{6.4}{6.4+J}x^{2}[/tex]
[tex]\implies 5.6(6.4 + J)=6.4 (5.6+8.4)[/tex]
[tex]\implies 35.84+5.6J=89.6[/tex]
[tex]\implies 5.6J=53.76[/tex]
[tex]\implies J=9.6[/tex]
What kind of building material has the cheapest premiums?
Answers
Answer:
hey its me manisha
are there
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. What distance did Maya travel if she ran for t hours and then biked for r hours?
PLS HELP FAST!!
Answers
Answer:
36
Step-by-step explanation:
If it is two hours then half of it is 9
18+9= 27 that's how many miles she bikes
6 is the number of miles she ran
So add them to get the total: 27+9= 36 hours
Imagine the center of the Ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar.
Answers
The transformation needed to show that both circles on the graph are similar is dilation
How to model the equation of the Ferris wheelThe equation of a circle that has its center to be (0,0) is:
[tex]x^2 + y^2 = r^2[/tex]
Where r represents the radius of the circle.
The radius can take any positive value.
Assume r = 5, then the equation becomes
[tex]x^2 + y^2 = 5^2[/tex]
[tex]x^2 + y^2 = 25[/tex]
The above can represent the equation of the Ferris wheel
A circle similar to the Ferris wheel can have the following equation
[tex]x^2 + y^2 = 7^2[/tex]
[tex]x^2 + y^2 = 49[/tex]
The above circle equation has a radius of 7, and it passes through the center
So, we have:
[tex]r = 5[/tex] -- radius of the Ferris wheel
[tex]R = 7[/tex] -- radius of the similar circle
Since both circles pass through the center, either of the circles can be dilated to the other
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Solve for x: −2x + 5 < 7 (1 point)
x > −1
x < −1
x > −6
x < −6
Answers
Answer:
x < −1
Step-by-step explanation:
-2x + 5 < 7
-2x < 7 -5-2x < 2x < 2 ÷ -2x < -1Brainliest if correct
Answers
Answer:
[tex]w^8[/tex]
Step-by-step explanation:
[tex]w^6*w^2\\w^{6+2}\\w^8[/tex]
Hope this helps!
Read the excerpt from The Boy Who Harnessed the Wind by William Kamkwamba. I spent the day combing through the books while Mrs. Sikelo graded papers at her desk. Despite the variety of titles, I left that afternoon with books on geography, social studies, and basic spelling—the same textbooks my friends were studying in school. It was the end of the term, and my hope was to get caught up before classes started again. At home I planted a thick blue gum pole deep in the ground near the mango tree out front, then made my own hammock out of knotted maize sacks. For the next three weeks, I began a rigorous course in independent study, visiting the library in the mornings, and spending the afternoons reading in the shade. What idea does the excerpt help develop? The author is dedicated and studious. The author is confused and overwhelmed. The author is planting and caring for trees. The author checks out many books.
Answers
Two card are pulled from a normal deck of 52 cards, without replacement.
What are the odds of the two cards being a pair?
Answers
Answer:
The probability that both cards that are drawn are hearts is 1/17.
Step-by-Step-Explanation:
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.
So hence, your answer is 1/17-----------------------------------——————---------------------------------------------------------
Thanks!
Answered by: FieryAnswererGT
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Match each sine or cosine value to its equivalent measure.
sin(16)
sin(106)
cos(137)
sin(123)
COS(58°)
COS(47°)
sin(33)
sin(32)
का
COS(749)
sin(43)
COS(579)
>
Answers
Using trigonometric identities, cos(74°) = sin(16°).
What are trigonometric identities?Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.
Trigonometric Identity used-
cos(x) = sin(90-x)
cos(74°) = sin(90°-74°) = sin(16°)
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Answer:
In the image
Hope this helps!
Step-by-step explanation:
Which function(s) are linear? Select all that apply.
(please select one or more answers)
y = 6x^2+7
y =-1
y = 3/5x+1
y= 7.5x – 7
Answers
Answer:
3/5 x +1 and 7.5 x -7
Step-by-step explanation:
any equation in the form y= mx+b is linear the other 2 in this question are not in this form thus they are not linear
A recipe uses 5 cups of milk to make 25 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts?
Answers
12/3=2.4
The total number of servings is given by the equation A = 60 servings
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of servings from 3 quarts be A
Now , the equation will be
The number of servings for 5 cups of milk = 25 servings
So , the number of servings for 1 cup = 25 / 5
The number of servings for 1 cup of milk = 5 servings
And , 1 quart = 2 pints
1 pint = 2 cups
So , 1 quart = 4 cups
And , 3 quarts = 12 cups
So , The number of servings for 3 quarts or 12 cups of milk = 12 x number of servings for 1 cup of milk
Substituting the values in the equation , we get
The number of servings for 3 quarts or 12 cups of milk A = 12 x 5
The number of servings for 3 quarts or 12 cups of milk A = 60 servings
Therefore , the value of A is 60 servings
Hence , the number of servings is 60
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