We will see that the system of equations has infinite solutions, each of the form:
y = (3/2)*(x + 1)
How to solve the system of equations?Here we have the system:
3x - 2y = -3
-9x + 6y = 9
Notice that if we add 3 times the first equation to the second one, we get zero.
3*(3x - 2y) + -9x + 6y = 3*(-3) + 9
9x - 6y - 9x + 6y = -9 + 9
0 = 0
This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:
3x - 2y = -3
2y = 3 + 3x
y = (3/2)*(x + 1)
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[tex]\dfrac{8^2 \cdot 4^{-3}}{2^4\cdot 8^{-2}}\\\\\\=\dfrac{(2^3)^2\cdot(2^2)^{-3}}{2^4\cdot (2^3)^{-2}}\\\\\\=\dfrac{2^6\cdot2^{-6}}{2^4\cdot 2^{-6}}\\\\\\=\dfrac{2^6}{2^4}\\\\\\=2^{6-4}\\\\\\=2^2\\\\\\=4[/tex]
Does anyone understand this? Please explain and give me da answer ahahah, istg this teacher doesn’t teach at all.
Answer:
4.125
Step-by-step explanation:
33 divided by 8 and you get 4.125
I need help with this question
Answer:
Option B 1/64
Step-by-step explanation:
[tex]\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } } =4^{-11/3+2/3} =4^{-9/3} =4^{-3} =\frac{1}{4^{3} }=\frac{1}{64}[/tex]
Hope this helps
The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.01 inch has a resistance of 10 ohms, what is the resistance of 140 feet of the same type of wire if its diameter is 0.01 inch
Answer:
14 ohms
Step-by-step explanation:
The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.
__
The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)
The longer wire will have a resistance of 14 ohms.
It is a test i dont know how to do equations for scatter plots.
A new spiral notebook contains 10 fewer sheets than a new
composition book. The total number of sheets of paper in
2 new spiral notebooks and 5 new composition books is
540. Which system of equations can be used to find s, the
number of sheets of paper in one new spiral, and c, the
number of sheets in one new composition book?
s - c = 10
2s – 5c = 540
c - s = 10
2c + 5s = 540
S + c= 540
2s - 5c = 10
c - s = 10
5c + 2s = 540
multiply quantity of each and add them together to get total of 540
2s + 5c = 540 or 5c + 2s = 540
The difference in pages is 19 so you would subtract: c-s = 10
answer would be
d: c-s = 10
5c + 2s = 540
Ira purchased a new dishwasher for $361.35. the dishwasher was on sale for 17.5% off. what was the original price of the dishwasher, to the nearest dollar? a. $379 b. $382 c. $425 d. $438
A discount is the amount of money that is removed from the original price. The original price of the dishwasher is $438.
What is a discount?A discount is the amount of money that is removed from the original price of a commodity when it is being sold.
We know that the commodity is being sold that a price of $361.35 but the discount is 17.5% and we are to obtain the original price of the commodity.
Let the original price be x
x - 17.5/100x = 361.35
82.5x/100 = 361.35
x = 361.35 * 100/82.5
x = $438
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Rhys will tile the rectangle below to find it’s area. Q: How many unit squares with side length 1/10 foot will Rhys use to tile the rectangle? The sides of the rectangle: 3/10 foot and 4/5 foot. Answers: 24 unit squares, 18 unit squares, 12 unit squares, and 7 unit squares.
Using the areas of the rectangle and of the square, it is found that 24 unit squares will be used to tile the rectangle.
What is the area of a square?
The area of a square of side l is given by the square of l, that is:
A(l) = l².
In this problem, we have that [tex]l = \frac{1}{10}[/tex], hence the area is given by:
[tex]A = \left(\frac{1}{10}\right)^2 = \frac{1}{100} = 0.01[/tex]
What is the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:
A = lw.
In this problem, we have that the measures are:
[tex]l = \frac{3}{10}, w = \frac{4}{5}[/tex]
Hence:
[tex]A = lw = \frac{3}{10} \times \frac{4}{5} = \frac{12}{50} = \frac{24}{100} = 0.24[/tex]
The area of the rectangle is 24 times the area of the square, hence 24 unit squares will be used to tile the rectangle.
More can be learned about areas at https://brainly.com/question/10489198
The number of unit squares with a side length of 1/10 foot that Rhys uses to tile the rectangle is 24 units
How to calculate the area of plane shapes?A square is a plane shape with 4 sides
The formula for calculating the area of the square is expressed as:
A = l^2
Given
side length of a square = 1/10 foot
A = (1/10)² = 1/100 = 0.01 square foot
Determine the area of the rectangle
Area = length * width
Area = 3/10 * 4/5
Area = 12/50 = 6/25
Area = 0.24 square foot
Take the ratio of both areas
Ratio = 0.24/0.01
Ratio = 24 units
Hence the number of unit squares with a side length of 1/10 foot that Rhys uses to tile the rectangle is 24 units
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Which value for x makes the sentence true?
1/40 + X = 1/8.
А. 3/20
B. 1/10
C. 1/24
D. 1/32
Answer:
B
Step-by-step explanation:
[tex] \frac{1}{40} + x = \frac{1}{8} [/tex]
[tex]40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )[/tex]
[tex]1 + 40x = 5 \times 1[/tex]
[tex]1 + 40x = 5[/tex]
[tex]40x = 5 - 1[/tex]
[tex]40x = 4[/tex]
[tex] \frac{40x}{40} = \frac{4}{40} [/tex]
[tex]x = \frac{1}{10} [/tex]
Answer:
1/10
Step-by-step explanation:
Can anyone help me with this answer.
Answer:
27 cm²
Step-by-step explanation:
Shaded Area = Area ABCE - Area AED
S.A. = 6 x 6 - 1/2 x 3 x 6 [DE = 1/2AB = 1/2 X 6 = 3]S.A. = 36 - 9S.A. = 27 cm²Answer:
27 sq cm
Step-by-step explanation:
Area of the shaded region
= Area of rectangle - Area of triangle
= 6*6 -1/2(6)(3)
= 36 - 9
= 27 sq cm
Help me put the inequality on the number line!
Answer:
3 with an arrow pointing to the left
Step-by-step explanation:
6. Quaker uses 14 of a barrel of chocolate chips to make each batch of their
Chewy marshmallow chocolate chip granola bars. In one day, the company uses
3 12 barrels of chocolate chips to make granola bars. How many batches
of granola bars did the company make in the day?
Answer:
4/5=.80
4/.80= 5
5*7= 35
You can make 35 granola bars with 4 cups of chocolate chips.
I hope this helps!
The number of batches of granola bars the company make in the day is 22.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Quaker uses 14 of a barrel of chocolate chips to make each batch of their Chewy marshmallow chocolate chip granola bars.
Number of batches = Total barrels of chocolate chips/Number of a barrel of chocolate chips
= 312/14
= 22.28
≈ 22
Therefore, the number of batches of granola bars the company make in the day is 22.
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State translation,reflection or rotation
(x, y) ——-> (x + 9, y + 2)
Please help me with this please and thank you
Answer12
Step-by-step explanation:
2
19. Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers? Explain your answer.
When you say, "What is the difference between 'a' and 'b'," is 'a' being subtracted by 'b' or is 'b' being subtracted by 'a'?
Answer:
a-b
Step-by-step explanation:
The difference will usually be the first term subtracted by the second but it is the space/value between the numbers so technically you could just take the negative from b-a as -(b-a) and get the same value
What is the measure of
∠
x
∠xstart color #11accd, angle, x, end color #11accd?
Angles are not necessarily drawn to scale.
Answer:
[tex]\sf \angle x=65^o[/tex]Step-by-step explanation:
Angles DAB and BAC are supplementary angles because they form a straight line, meaning they add up to 180°.
[tex]\sf \angle DAB+\angle BAC = 180^o[/tex]
[tex]\sf 123^o+\angle BAC=180^o[/tex]
[tex]\boxed{\sf \angle BAC= 57^o}[/tex]
Interior angles of a triangle always add up to 180°:-
[tex]\sf \angle ABC +\angle BAC+\angle x= 180^o[/tex]
[tex]\sf 58^o+57^o+\angle x=180^o[/tex]
[tex]\boxed{ \sf \angle x=65^o}[/tex]
_________________________
437.683
Write a number with a 7 in it that is 1/10 the size of the 7 in the number above.
Answer:
43.7683
Step-by-step explanation:
When multiplying by 10s, the decimal point moves. Since it is a fraction, making it lesser than an actual 10, the decimal point moves one space to the left (instead of right)
437.683
Take away 430 because we don't need it for this step
7.683
10% of 7.683 = 0.7683
add back 43
your answer is:
43.7683
hope this helps :)
The base is a square, 4.5 on a side. The height is 5cm
Looking for the volume, help!
Answer:
Given :-
Length and Breadth = 4.5 cmHeight = 5cmTo Find :-
Volume of the shapeSolution :-
Volume = l ×b ×h /3
putting the known values ,Volume = 4.5 × 4.5 × 5 cm/3³
Volume = 101.25/3 cm³
Volume = 33.75 cm³
Answer:
Volume = 33.75 cm³Step-by-step explanation:
After reading question we can understand that the all these measurements are of pyramids .
So In the question we are given ,
Base of square = 4.5 cmHeight of pyramid = 5 cmWe know that in pyramid length and width are equal to base of a square . Therefore ,
Length of pyramid = 4.5 cmWidth of pyramid = 4.5 cmFormula :[tex] \rightarrow \blue{\boxed{ \sf{Volume \: of \: pyramid = \frac{lwh}{3} }}}[/tex]
Where ,
l refers to length of pyramidw refers to width of pyramidh refers to height of pyramidNow , substituting values of l , w and h :
[tex] \longmapsto \: \frac{4.5 \times 4.5 \times 5}{3} [/tex]
Now , by multiplying 4.5 , 4.5 and 5 , We get :
[tex] \longmapsto \: \frac{101.25}{3} [/tex]
Now , by dividing 101.25 by 3 , We get :
[tex] \longmapsto \: \red{\boxed{33.75}}[/tex]
Therefore , volume of pyramid is 33.75 cm³ .#Keep LearningIf Lucy travels 20 metres in 1 second, how many metres will
she travel in 1 hour?
Answer:
72,000 meters
Step-by-step explanation:
Seconds in 1 hour = 3600
20 meters = 1 second
3600x20= 72000 meters
Is this correct guys? It's how i did it
PLEASE HELP IM DOING IT RIGHT NOW
Answer:
To find the product of 568.32 and [tex]10^{4}[/tex], move the decimal point in 568.32 4 places to the right because [tex]10^{4}[/tex] has 4 zeros.
Step-by-step explanation:
[tex]10^{4}[/tex] = 10000
568.32 · 10000 = 5683200
the decimal point moved 4 places to the right because 10000 has 4 zeros.
hope this helps!
2 rectangular pyramids are connected at their bases. the total height of the 2 figures if 10 units. the base edge lengths are 9 units and 1.5 units. the height of each pyramid is 5 units. which statements about the composite figure are true? check all that apply. the composite figure consists of two rectangular pyramids. the composite figure can be broken down into rectangular prisms. the volume of the composite figure is 1.5(9)(5) 1.5(9)(5). the total volume is 45 units3. the total volume is 90 units3.
The true statements about the figure are:
Volume of the composite figure = sum of the volume of each rectangular pyramids.Volume of the composite figure = 45 units³What is the Volume of a Rectangular Pyramid?Volume = 1/3(length)(width)(height)
The volume of the composite figure = sum of the volume of each rectangular pyramids.
The two pyramids have the same height and base. Therefore:
Volume of the composite figure = 2[1/3(length)(width)(height)] = 2[1/3(9)(1.5)(5)]
Volume of the composite figure = 45 units³
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Answer:
A,D
Step-by-step explanation:
A 3-column table with 5 rows. the first column is labeled state with entries florida, michigan, new york, california, texas. the second column is labeled republican primary with entries 12.8%, 16.5%, 1.4%, 22.9%, 12.8%. the third column is labeled general election with entries 63.5%, 64.7%, 53.1%, 55.2%, 49.7%. look at the table. what information is missing from the table that could help someone draw the most accurate conclusion about voter turnout in primaries and general elections? the year in which this election took place the candidates running for president the percentage of democratic primary voters the states of new jersey and arizona
Answer:
Percentage of Democratic primary voters
Step-by-step explanation:
Answer: C (the percentage of democratic primary voters)
Step-by-step explanation: took the test on edge
Please help! I don’t get this at all
Answer:
I hope I help you
have a nice day
Write an expression for the product of z and 331.
Type an asterisk (*) if you want to use a multiplication sign and a slash (7) if you want to
use a division sign.
pls help with my problem!
If (x k) is a factor of f(x), which of the following must be true? f(k) = 0 f(–k) = 0 a root of f(x) is x = k. a y intercept of f(x) is x = –k.
A root of f(k) is x=k. Option C is correct.The numbers we're multiplying are factors of the product since they're divisible by it.
What is a factor?A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,
The factor of the f(x) is given as;
[tex]\rm (x+k)[/tex]
The factors satisfy the equation as;
[tex]\rm (x+k)=0 \\\\ x=-k[/tex]
Hence one root of f(x) is x = -k, The correct answer is option C.
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Answer:
Option C
Step-by-step explanation:
Gotham government officials have a 58. 6% chance of being corrupt. Determine the probability that a randomly selected Gotham government official is not corrupt
Given & Proof
*Hard*
Answer:
Step-by-step explanation:
What is the measure of Z?
A. 36
B. 72
C. 108
D. 144
[tex]xz = 2 \times xyz = 2 \times 72 = 144[/tex]
Answer:
144
Step-by-step explanation:
72*2=144