Solve the following system of equations using the elimination method
5x+3y=1
x+2y=3
Answers
Answer: x= -1, y=2
Step-by-step explanation:
Related Questions
5. 3/4 divided by 1/5
Answers
Step-by-step explanation:
3/4÷1/5
15/20÷4/20
we flip the second fraction and change the ÷ into ×
15/20×20/4=300/80
and now you can simplify this fraction.
Step-by-step explanation:
3/4 / 1/5
3/4 x 5/1
=15/4
7/8 - 1/4 = ? (simplfy it )
Answers
Answer:
I think the answer is 5/8 if I am doing the math right
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
7/8 - 1/4
7/8 + 1/4
7/8 + -1/4
7/8 + -2/8
7/8 + -2/8
7 + -2/8=
5/8
hope this helped you, i didnt search up the answer on a calc lm.ao
What is an equation of the line formed when the line y = 2x + 4 is reflected over the line y = x?
Answers
Answer:
its b
Step-by-step explanation:
x=3y
2x+4y=10
solve using substitution
Answers
Substitute the first equation into the second one
2(3y)+4y=10
6y+4y=10
10y=10
Y=1
Place the answer for Y into the first equation
X=3(1)
X=3
The solution of equations is x=3 ,y=1
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
x=3y
2x+4y=10
Substitute the first equation into the second one
2(3y)+4y=10
6y+4y=10
10y=10
Y=1
Place the answer for Y into the first equation
X=3(1)
X=3
Therefore; the value of x and y of equations will be 3 and 1
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P+Q+R=180 then to prove (cosp/sinq.sinr) + (cosq/sinr.sinp) + (cosr/sinp.sinq)=2
Answers
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given:
[tex]\to P+Q+R=180[/tex]
prove that [tex](\frac{\cos p}{\sin q \cdot \sin r}) +(\frac{\cos q}{\sin r \cdot \sin p})+ (\frac{\cos r}{\sin p \cdot \sin q})=2[/tex]
Solving the L.H.S part:
[tex]\to (\frac{\cos p}{\sin q \cdot \sin r}) +(\frac{\cos q}{\sin r \cdot \sin p})+ (\frac{\cos r}{\sin p \cdot \sin q})\\\\[/tex]
Solve the above value by taking L.C.M:
[tex]\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \\\\\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \\\\[/tex]
multiply the above value by [tex]\frac{2}{2}[/tex]:
[tex]\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \times \frac{2}{2} \\\\\to \frac{2 \cos p \sin p+ 2 \cos q \sin q + 2 \cos r \sin r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\therefore \sin 2A = 2 \sin A \cdot \cos A\\\\\because\\\\\to \frac{ \sin 2p+ \sin 2q + \sin 2r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\therefore \ \\ \bold{\sin 2p+ \sin 2q + \sin 2r= 4 \sin p \cdot \sin q \cdot \sin r}\\[/tex]
[tex]\to \frac{4 \sin p \cdot \sin q \cdot \sin r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\to \frac{2 \sin p \cdot \sin q \cdot \sin r}{ \sin p \cdot \sin q \cdot \sin r} \\\\\to 2[/tex]
So, L.H.S=R.H.S
help! what’s the area & formula?
Answers
Answer: 134.4sq m
See photo for explanation
write 3^n/9^(n-1) as a power of 3
Answers
Answer:
[tex]\frac{3^{n} }{3^{2(n-1)} }[/tex]
Step-by-step explanation:
3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3ⁿ/9ⁿ⁻¹
three power n divided by nine power n minus one.
To express to the power of 2, we have few properties of exponentials.
aˣ/aⁿ=aˣ⁻ⁿ
aˣ.aⁿ=aˣ⁺ⁿ
The given expression is
3ⁿ/9ⁿ⁻¹
3ⁿ/(3²)ⁿ⁻¹
3ⁿ/3²ⁿ⁻²
3ⁿ.3⁻²ⁿ⁺²
When bases are same then we will add the powers
3ⁿ⁻²ⁿ⁺²
3²⁻ⁿ
Hence 3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
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The dimensions of a triangular prism are shown in the diagram.
5 cm
16 cm
-4 cm
6 cm
What is the volume of the triangular prism in cubic centimeters?
Answers
Answer:
192
Step-by-step explanation:
I WILL GIVE BRAINLIST
Find the area of the shaded region.Required to answer. Single choice.
(20 Points)
121 square yards
153.2 square yards
214.5 square yards
256.2 square yards
Answers
11x22=242
11x5/2=17.5
242-17.5=214.5
Mai made 50 flyers for five volunteers in her club to hang up around school. She gave 5 flyers to the first volunteer, 18 flyers to the second volunteer, and divided the remaining flyers equally among the three remaining volunteers.
Answers
Answer:
9
Step-by-step explanation:
we start out with 50 flyers, then a volunteer takes away 5. This puts us now at 45 flyers, then another volunteer takes 18 flyers, leaving us at 27. We now have to equally share the remaining flyers with 3 volunteers. To do this we do 27 divided by 3, which gives us 9. Meaning we give 9 flyers to each of the remaining 3
Answer:To thank Mai five volunteers, Mai gave each of them the same number of stickers then she gave them each two more stickers altogether she gave them a total of 30 stickers
Step-by-step explanation:
The shapes below are mathematically similar.
14 cm
7 cm
8 cm
X
Calculate the length of side x.
Answers
Answer:
4
Step-by-step explanation:
we can see that the big square is twice as large as the small one
which makes x=4
The scale factor is 2. Then the value of the variable 'x' is 1 cm.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The scale factor is given as,
SF = 14 / 7
SF = 2
Then the value of the variable 'x' is calculated as,
x = 8 / SF
x = 8 / 2
x = 4 cm
The scale factor is 2. Then the value of the variable 'x' is 1 cm.
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Please help me!! I will give you brainleist!! Thank you!! ❤✨
Answers
Answer:
The second option is correct.
Step-by-step explanation:
First you need to find a common denominator in which is 6
You can find it like this:
1 x 3 = 3
2 x 3 = 6
3/6 is the amount of cake that was left
Now do the same thing for the amount of cake that Elisa ate.
1 x 2 = 3
3 x 2 = 6
So in conclusion the second option represents the amount of cake Elisa eats the best.
I hope this is as helpful as possible.
Answer:
Model:
2/3 (original amount of cake) - 1/3 (what was left) = 1/3 (what Elisa ate)
Math:
2/3 - 1/3 = 1/3
Calculation:
2/3 - 1/3 = (2 - 1) / 3
= 1 / 3
Explanation:
To calculate the fraction of the cake Elisa ate, we need to subtract 1/3 from 2/3. First, we need to find a common denominator for both fractions. In this case, the common denominator is 3. Then, we need to subtract the numerator of the second fraction, which is 1, from the numerator of the first fraction, which is 2. The difference is 1, which is the numerator of the fraction that represents the amount of cake Elisa ate. The denominator is 3, so the fraction that represents the amount of cake Elisa ate is 1/3.
Which event has a probability of 1/2? Select all that apply.
A.rolling a number greater than 6 on a six-sided number cube.
B.Picking a black marble out of a bag of black marbles
C.A flipped coin landing on tails
D.A flipped coin landing on heads or tails
E.Picking a blue marble from a bag of 6 red marbles and 6 blue marbles
F.Rolling an odd number on a six-sided number cube
Answers
Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain
Answers
Answer: She has enough.
Step-by-step explanation:
You need to add up the quantities of water needed first. That will then tell if she has enough water.
Convert the fractions to decimals then add them up:
3/8 = 0.375
1/4 = 0.25
= 0.25 + 0.375
= 0.625 cups of water is required.
This is less than the 1 cup she has so she has enough water to make the snack.
The Ministry of Misallocation has decreed that the production of widgets must be 4000 each month and the production of gizmos must be 10000 each month. Calculate the deadweight loss in each market caused by these restrictions. Please note the scale of the quantity axis is in thousands.What is the deadweight loss in the gizmos market
Answers
Kindly find attached graph below :
Answer:
10,000
Step-by-step explanation:
Given that :
Decreed production level by the ministry :
Monthly widget production = 4000
Monthly gizmos production = 10,000
Deadweight loss for gizmos :
0.5(p2 - p1) * (Q2 - Q1)
0.5(70 - 60) * (10000 - 8000)
0.5 * 10 * 2000
10,000
Hence, Deadweight loss on gizmos is 10000
Deadweight loss occurs when equilibrium output is not attained.
3.
-5(m-4n-5)-3
7(p-6q8)-4
please help me
Answers
-5(m-4n-5)-3
7(p-6q8)-4
13
Answer:
= 222q^8 - 5m + 20n -37 + 21
Step-by-step explanation:
−5(m−4n−5)−37(p−6q8)−4
step 1
=(−5)(m)+(−5)(−4n)+(−5)(−5)+(−37)(p)+(−37)(−6q8)+−4
=−5m+20n+25+−37p+222q8+−4
step 2
=−5m+20n+25+−37p+222q8+−4
=(222q8)+(−5m)+(20n)+(−37p)+(25+−4)
=222q8+−5m+20n+−37p+21
look yall i got 10 math questions if you get all ten right brainlliest so if yall could help a man out here it would be great
here they are
1.)Which of the following best describes the squaring property of equality?
A.
if a=b,then [tex]a^{2} =b^{2}[/tex]
B
if [tex]a\leq b then a^{2} \leq b^{2}[/tex]
C
[tex]if a\geq b then a^{2} \geq b^{2}[/tex]
D
[tex]if a \neq b then a^{2} \neq b^{2}[/tex]
2.)Solve for x.
[tex]\sqrt{x-2} =9[/tex]
A.
11
B.
20
C.
83
D
no solution
3.)The length of a side of a square is [tex]\sqrt{x^{2}-4 }[/tex] If the area of the square is 12, find x.
A.
16
B.
4
C.
12
D.
[tex]\sqrt{148}[/tex]
4).Solve for x.
[tex]5x^{2} +3=-122[/tex]
A.
no solution
B.
–5
C.
±5
D.
±25
5.)solve for x[tex]x^{2} +5=30[/tex]
A.
±25
B.
[tex]\sqrt{35}[/tex]
C.
±5
D.
no real solutions
6.)The acceleration of an object can be described by the equation[tex]a=\frac{2d}{t²} where a is acceleration, d is the distance, and t is time. Suppose an object accelerates for a distance of 15 meters. Which of the following equations relates the time to the acceleration?
A.
[tex]t=\sqrt{\frac{a}{30} }[/tex]
B.
[tex]t=\sqrt{\frac{a}{15} }[/tex]
C.
[tex]t=\sqrt{\frac{30}{a} }[/tex]
D.
[tex]t=2\sqrt{\frac{30}{a} }[/tex]
7.)The acceleration of an object can be described by the equation [tex]a=\sqrt{\frac{2d}{t²} }[/tex] , where a is acceleration, d is the distance, and t is time. Suppose an object accelerates at a rate of 5 meters per second squared. Which of the following equations relates the time of the acceleration to the distance?
A.
[tex]t=\sqrt{10d}[/tex]
B.
[tex]t=\sqrt{2d}[/tex]
C.
[tex]t=\sqrt{\frac{5d}{2} }[/tex]
D.
[tex]t=\sqrt{\frac{2d}{5} }[/tex]
8.)Solve for x [tex]\sqrt{2x+8}=2[/tex]
A.
2
B.
–3
C.
–2
D.
no solution
9.)Solve for x:[tex]\sqrt{3x-2}=2[/tex]
A.
2
B.
[tex]-\frac{2}{3}[/tex]
C.
–2
D.
no solution
10.)What is the first step to solve the equation [tex]x^{2} -3=15[/tex]
A.
Take the square root of [tex]x^{2}[/tex], 3, and 15.
B.
Square 15.
C.
Add 3 to both sides of the equation.
D.
Add 1 to both sides of the equation.
can yall help a brother out im in deep sh|t if i dont pass so if your gunna do it do it right thank yall for helpen me out oh and i already tried to look em up so that dont work
Answers
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
Step-by-step explanation:
2.explanation: 11-2=9
sorry but that's all i know i'm only in middle school
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
2.explanation: 11-2=9
Step-by-step explanation:
FAST I NEED HELP PLEASE
Answers
Answer:
the first one
Step-by-step explanation:
i hope that help you
Quien me puede ayudar es U R G E N T E The GCF of 54, 76 and 114 is: 2 6 4 9 1 The GCF of 35, 50 and 120 is: 2 4 5 25 2 Find the GCF of 12, 16 and 20 1 If the GCF of 56 and 120 is c, find the result of 24\div c24÷c
Answers
Responder:
a) 2
b) 5
c) 4
d) 3
Explicación paso a paso:
Debemos encontrar el MCD de los siguientes números
a) 54, 76, 114
encontrar los factores primos de cada
54 = 2 * 3 * 3 * 3
76 = 2 * 2 * 19
114 = 2 * 2 * 2 * 2 * 3 * 3
De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2
b) Para 35, 50 y 120
35 = 5 * 7
50 = 2 * 5 * 5
120 = 2 * 2 * 2 * 3 * 5
De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5
c) Para 12, 16 y 20
12 = 2 * 2 * 3
16 = 2 * 2 * 2 * 2
20 = 2 * 2 * 5
De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4
d) Para 56 y 120
56 = 2 * 2 * 2 * 7 = 8 * 7
120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5
De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.
Por tanto, c = 8
Necesario
24 / c
= 24/8
= 3
Por tanto, el resultado de 24 / c es 3
three times the sum of a and b is equal to five times c
Answers
Answer:
3(a+b)=5c
3a+3b=5c
Step-by-step explanation:
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Does the graph shown below represent y as a linear function of x?
A. Yes
B. No
PLZ HELP!!
Answers
Answer:
Yes.
Step-by-step explanation:
Straight lines can be linear
i hope this helps :)
A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places
a. 28.73%
b. 39.68%
40.32%
45.97%
C
d
Answers
Answer:
c
Step-by-step explanation:
edg 20/21
If a store raises a coffee mug's price from $6.25 to $8.77. The price increase was 40.32%. Option C is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, A retailer marks up the price of a coffee mug from $6.25 to $8.77.
We have to find the percentage by which the price increase,
% increment = New rate - old rate / old rate × 100
% increment =(8.77 - 6.25)× 100
% increment =40.32%
Thus, if a store raises a coffee mug's price from $6.25 to $8.77. The price increase was 40.32%. Option C is correct.
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me podrian decir como hacer esto
(x + 3) 3 =
me podrian decir como resolverlo plis
Answers
Answer:
x=0
Step-by-step explanation:
Reste 3 por cada lado de la ecuación y luego simplifique :)
The triangle has an area of 7 7/8 cm2 and a base of 5 1/4 cm. What is the height?
Answers
Answer:
3
Step-by-step explanation:
7 7/8÷51/4
3/2÷1/2
3
A=bh1/2
A=5 1/4×3×1/2
A=15 3/4×1/2
A= 7 7/8
(Mark as brainliest please)
You invested $600 in a shark tank invention and received $180 in interest after four years. What had been the interest rate? Do NOT round your answer!
Answers
Can somebody help me please
Answers
Answer:
It’s in between 95 and 100
Step-by-step explanation:
Not sure where though
Multiply.
(−3x+4)(2x−1)
Express the answer in standard form.
Enter your answer in the box.
Answers
Answer:
-6x^2+11x-4
Step-by-step explanation:
Answer:
6[tex]x^{2}[/tex]+11x-4
Step-by-step explanation:
(-3x+4)(2x-1)
Use the distributive property. The picture below will show it is supposed to be done.
i will first be using the distributive property on -3x
4(-3x(2x)-3x(-1))Complete the equation
4(2x-1)(-6x^2+3x)Now distribute the 4 into the equation.
8x-4-6[tex]x^{2}[/tex]+3xNow combine like terms
11x-4-6[tex]x^{2}[/tex]Write in standard form
-6[tex]x^{2}[/tex]+11x-4What is the area of the composite shape?
Answers
Explanation: step by step
Write the equation of the line that goes through the point (-2,3) and has a slope of -4
Answers
Answer:
y=-4x-5
Step-by-step explanation:
Use the equation of the line formula, y=mx+b
since we know that the slope is -4, we just have to find b
plug the points into the equation, y=-4x+b
(3)=-4(-2)+b
simplify
3=8+b
subtract 8 from both sides
b=-5
plug b into the equation
y=-4x-5
Mr. Spence asks his math students to identify TWO shapes based on the
following clues: 1- each shape must have ALL sides equal length, 2- each shape
must have 4 sides, 3- each shape must have 2 pairs of parallel sides. Which two
shapes are being described?
A. Rhombus, rectangle B.square, rhombus C. Square,parallelogram D. Rectangle, trapezoid
Answers
Answer:
Step-by-step explanation:
d