Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17
Answer: y = 1 and x = 4
Step-by-step explanation:
-8x + 10y = -22
8x - 15y = 17
-----------------------
- 5y = -5 Add the two equations to eliminate x
y = 1 Solve for y
=====
8x - 15y = 17 (y = 1) Use y=1 in either equation
8x - 15 = 17
8x = 32
x = 4 Ta da
Answer:
solution: x = 4, y = 1 or (4, 1)
Step-by-step explanation:
To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):
-8x + 10y = -22
+ 8x - 15y = 17
- 5y = -5
Divide both sides by -5 to solve for y:
[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]
y = 1
Next, substitute the value of y into one of the equations to solve for x:
-8x + 10y = -22
-8x + 10(1) = -22
-8x + 10 = -22
Subtract 10 from both sides
-8x + 10 - 10 = -22 - 10
-8x = -32
Divide both sides by -8 to solve for x:
[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]
x = 4
Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).
The width of a rectangle measures (26 – 8c) centimeters, and its length measures
(106 + 6c) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
Answer:
first one is correct
Step-by-step explanation:
length of a rectangle = 2b - 8c
breadth of a rectangle = 10b + 6c
now , formula to calculate the perimeter of rectangle is
p = 2 (l + w)
no substitute the value of l(length) and w(width)
p = 2{(2b - 8c) + (10b + 6c)}
p = 2(2b - 8c + 10b + 6c)
p = 2(12b - 2c)
p = 24b - 4c
A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?
The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
Answer:
ME TOO
Step-by-step explanation:
Function transformation involves changing the position of a function.
The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
The functions are given as:
[tex]\mathbf{f(x) = x}[/tex]
[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]
Substitute x for f(x) in g(x)
[tex]\mathbf{g(x) = -5x + 2}[/tex]
The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.
The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.
Hence, the correct option is (d)
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Ms. Brown spent $5.25 on groceries and 75¢ on candies. What is the ratio of: a) cost of groceries to cost of candies b) cost of candies to total cost
Answer:
A.) 7:1 (which is 5.25 : 0.75 simplified)
B.) 0.75 : 6
Step-by-step explanation:
Shylan's vegetable garden is florishing. She has
20 plants in her garden which are broken into
equal rows. 1/5 of the rows are cucumbers and
40% of the rows are squash. 1/2 of the
remaining rows are tomatoes. How many
pepper plants does she have?
Answer: 90millionhajk
Step-by-step explanation:
7. A herd of 100 caribou was moved to a
new location. The population increased
by 10% the first year and then increased
by 20% the second year.
a) Find the population after the second
year.
b) Explain why there was not a 30%
increase in population over the two years.
Answer:
The population would probably be 40%
Step-by-step explanation:
10 x 2 = 20
20 x 2 = 40
So, instead of increasing by 10% every year, the population from the previous year just doubles. Sorry if I'm wrong!
Which of the following best describes the number shown below?
0.535353...
A.
rational
B.
irrational
C.
both rational and irrational
D.
neither rational nor irrational
Answer:
irrational
Step-by-step explanation:
irrational. An irration number can not be expressed as a fraction or a decimal. This can not because this number goes on forever and it will never end, and you can write a never ending number as a fraction or a decimal. here is a tip to remember if a number never end like pi then it is irrational,
9 pls pls pls help meeee!
Answer:
not possible
........................................
f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).
[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]
given the graphs of f and g below, find the following. give the exact if defined.
Answer:
looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.
Step-by-step explanation:
a) 2
b) 1
help???? i will be so greatfull
Answer the following questions.
Questions
What is an amount between $2 and $10? (A) ____8______
What is an amount between $10 and $20? (B) ________10__
What is an amount greater than $50? (C) _____55_____
What is your name? (D) ___mikiaa____________
What is the name of an item that you will buy only once? (E) _____fish eggs____________
What is the name of an item that you will buy more than once? (F) ______snacks___________
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
The question is an illustration of inequalities and mathematical operations
The amount between $2 and $10 is $8
The amount between $10 and $20 is $10
$100 is greater than $50
(a) Amount between $2 and $10.
The amount is calculated as:
Hence, the amount between $2 and $10 is $8
(b) Amount between $10 and $20.
The amount is calculated as:
Hence, the amount between $10 and $20 is $10
(c) Amount greater than $50.
An amount greater than $50 is an amount that have an higher value.
Take for instance: $100
$100 is greater than $50, because it has a higher value.
There is no enough information to solve the other questions
Read more about inequalities and mathematical operations at:
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Please help!
Geometry.
Proving alternate exterior angles
congruent
answers
A:
-Angle 2 is congruent to angle 3
-Angle 2 is congruent to angle 6
-Angle 3 is congruent to angle 7
-Angle 3 is congruent to angle 6
B:
-Angle 3 is congruent to angle 6 -angle 3 is congruent to angle 7 -angle 6 is congruent to angle 7 -angle 4 congruent to angle 5
Answer:
The answer to A is: "Angle 2 is congruent to angle 3"
The answer to B is: "Angle 3 is congruent to angle 7"
A.
22 cm
6.5 cm
5 cm
-
Find volume
Answer:
357.5cm³
Step-by-step explanation:
To find the volume of the prism, find the area of the triangle and multiply it by the height
Area of the triangle
a = 1/2 × base × height (of the triangle)a = 1/2 × 22 × 5 = 55cm²Volume of prism
55 × 6.5 = 357.5cm³Answer: 357.5cm³
Hope this helps!
Eva
Evaluate each expression
1/5
(252)
-5
COMPLETE
27
27
DONE
Answer:
9
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
9
HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 50 points
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.
1. Find the distance from A to B. Explain how you found this distance.
2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.
3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.
Answer:
are there any pictures?
Step-by-step explanation:
The length of a rectangle is 2x + 6. Its width is 52. Find the value of ac if the perimeter is 138m².
Answer:
ac = 18.5
Step-by-step explanation:
perimeter of a rectangle = [tex]2(l+b)[/tex]
= 138m^2= 2(2x + 6 ) + 52
= 4x + 12 + 52 = 138
= 4x + 64 = 138
= 4x = 138 - 64
= 4x = 74
= x = 74/4
= x = 18.5
A watch worth Rs. 5400 is offered for sale at Rs. 4590 , then the percent of discount offered during the sale is
Answer:
15%
Step-by-step explanation:
4590 = 5400 - D% × 5400
4590 = 5400 - D/100 * 5400
4590 = 5400 - 54D
54D = 5400 - 4590
D = 810 / 54
D = 15%
Dont forget to give me the brainliest.
a squared plus b squared equals c squared calculator
Answer:
umm?
Step-by-step explanation:
You just uhh explained the pythagorean theorem formula
[tex]a^{2} + b^{2} = c^{2}[/tex]
but what's the question?
sas, sss, aas, or not enough information
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given triangles are congruent by :
ASA criterionbecause they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.
Can someone please give me the answers to this? ... please ...
Answer: don’t know what your requesting but a lot of these are wrong
Step-by-step explanation:
Plz help ,me thx you
Answer:
i think it is a or c
Step-by-step explanation:
You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed? Round to the nearest whole number.
According to the calculations made, 410 gumballs will be needed to fill the box.
Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:
(Volume of box x 5/8) / volume of gumballs = Amount of gumballs Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius) Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X (343.1 x 5/8) / 0.523 = X 214.4375 / 0.523 = X 410 = XTherefore, 410 gumballs will be needed to fill the box.
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Please help me! It’s for geometry
The answer to this is 2 67.5
How much will it cost for him to buy 3 dozen using the rate $12.00 for 20 cookies?
please help me i dont know the answer to both of these.
Answer:
The answer for the first one is D: Multiply x by 5 and 2 by 5.
The answer for the second one is: A: There are infinitely many solutions.
Step-by-step explanation:
I am doing Linear equations right now in school lol
The figure shows line RS parallel to line UV. The lines are intersected by 2 transversals.
If the measure of angle STV is 108 degrees and the measure of angle RST is 74 degrees, the measure of angle TVU is [blank1] degrees. :|
Answer:
Step-by-step explanation:
The measure of angle TVU is 74 degrees.
What is alternate interior angles?The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.
What is linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point.
According to the given question.
m ∠STV = 108 degrees
And,
m ∠RST = 74 degrees
Since, ∠RTS and ∠STV are linear pair of angles.
Therefore,
m ∠RTS + m ∠STV = 180
⇒ m ∠RTS + 108 = 180
⇒ m ∠RTS = 180 - 108
⇒ m ∠RTS = 72 degrees
Now, in ΔRTS we have
m ∠RTS + m ∠TSR + m ∠SRT = 180 (sum of the angles of a triangle is 180 degrees)
⇒ 72 + 74 + m ∠SRT = 180
⇒ m ∠SRT = 180 -146
⇒ m ∠SRT = 34 degrees
Here, ∠SRT and ∠TVU are alternate interior angles.
Therefore,
m ∠SRT = m ∠TVU
⇒ m ∠TVU = 74 degrees.
Hence, the measure of angle TVU is 74 degrees.
Find out more information about alternate interior angles and linear pair of angles here:
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#SPJ2
Youth Group Trip
The youth group is going on a trip to an amusement park in another part of the state. The trip costs each
group member $150, which includes $85 for the hotel and
two one-day combination entrance and meal plan
passes. How much is the park per person?
a Write an equation representing the cost of the trip. Let P be the cost of the park pass. What’s the answer?!?!
Answer:
$32.50 = p
Step-by-step explanation:
$150 = 85 = 85 +85 + 2p
65/2 = 2p/2
Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
Answer:
Step-by-step explanation:
PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32
Answer:
The next term is 64, a is 2, and the common ratio is 2.
Step-by-step explanation:
Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.
