Solve the simultaneous equations
2x+4y=1
3x-5y=7

Answers

Answer 1

Answer:

Step-by-step explanation:

Step 1: Add -4y to both sides.

2x+4y+−4y=1+−4y

2x=−4y+1

Step 2: Divide both sides by 2.

2x

2

=

−4y+1

2

x=−2y+

1

2

Step 1: Add 5y to both sides.

3x−5y+5y=7+5y

3x=5y+7

Step 2: Divide both sides by 3.

3x

3

=

5y+7

3

x=

5

3

y+

7

3


Related Questions

A rectangle has a length of 2x+7 and a width of 3x+8.

Write and simplify an expression for the perimeter of that rectangle

Answers

Answer:

2(2x+7)=4x+14

2(3x+8)=6x+16

4x+14+6x+16

4x+6x+14+16

The answer is:

10x+30

What is the measure of Rsl?

Answers

Answer:

x = 13

Step-by-step explanation:

[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]

Can someone help me? It's urgent and thank you!

Answers

Answer:

15.2%

Step-by-step explanation:

There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.

You multiply these 2 values together.

5/12 * 4/11 = 20/132 = 0.1515

This is about 15.2%

Answer:

option b : 15.2 %

Step-by-step explanation:

5 Red , 4 Blue,  3 Yellow

Total balls = 12

[tex]Probability \ of \ choosing \ red = \frac{5C_1}{12C_1} = \frac{5}{12}\\\\Probability \ of \ choosing \ blue \ without \ replacement = \frac{4C_1}{11C_1} = \frac{4}{11}\\\\Probability \ of \ red \ and \ then \ blue = \frac{5}{12} \times \frac{4}{11} = 0.1515\\\\Probability \ in \ percentage = 0.1515 \times 100 = 15.15 = 15.2 \%[/tex]

Megan is shopping at a store that sells jewelry, scarves, and purses. The cost of all of the items at the store includes tax. Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace?

Answers

Answer: 7$

Step-by-step explanation: 40-4= 36 | 3x5=15 | 36-15=21 | 21/3=7

Help Please... 15 points :)

Answers

Answer:

√100 = 10, √36 = 6, √225 = 15

Step-by-step explanation:

100 can be made by 10^2 (10 x 10), 36 has factors of 6 and can be made by 6^2, and 225 can be made by 15^2.

[tex] \sqrt{100} = \sqrt{10 \times 10} [/tex] = [tex]\boxed{10}[/tex]

[tex] \sqrt{36} = \sqrt{6 \times 6} [/tex] = [tex]\boxed{6}[/tex]

[tex] \sqrt{225} = \sqrt{15 \times 15} [/tex] = [tex]\boxed{15}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

HELP FAST LOL HAHAHAH

Answers

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

there are 15 tickets in a box each bearing one of the a number from 1 to 15 one ticket is drawn at random from the box find the probability of event that the ticket drawn shows an even number and shows a number which is multiple of 5​

Answers

Answer:

(i) no. of favourable out comes =7 i.e. {2,4,6,8,10,12,14}

∴ P=

15

7

(ii) no. of favourable outcomes =3 i.e {5,10,15}

∴ P=

15

3

=

5

1

Step-by-step explanation:

thats my answer thank you

V is the midpoint of UW
and X is the midpoint of TW

If TU=p+14 and VX=p–6, what is the value of p?

Answers

Answer:

p = 2

Step-by-step explanation:

2VX = TU

2(p - 6) = p + 14

2p - 12 = p + 14

p = 2

what percent of 80 is 42

Answers

Answer:

52.5 percent of 80 is 42.

What is the image of (-8,-8) after dilation by a scale factor of {1/4} centered at the origin?

Answers

Answer:

(-2, -2)

Step-by-step explanation:

To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.

-8/4=-2

Answer:

It would be (-2, -2)

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.
What is the measure of angle S?

48o
56o
93o
101o

Answers

Answer:

C) 93o

Step-by-step explanation:

Trust the process

edge 2021

Answer:

Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D

Surface area hw help pls

Answers

Answer:

Find the perimeter first then the are

Step-by-step explanation:

Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...

Hint: Write a formula to help you. 1st term + common difference(desired term - 1)​

Answers

Answer:

a₁₅ = 71

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 - 1 = 5 , then

a₁₅ = 1 + (14 × 5) = 1 + 70 = 71

Step-by-step explanation:

hear is your answer in attachment

Solve the following for y: 4x + 2y = −2 (5 points)


y = −2x + 1


y = 2x + 1


y = −2x − 1


y = 2x − 1

Answers

Answer:

Step-by-step explanation:

4x + 2y = −2

Divide by two on both sides

2x+y = -1

subtract 2x from both sides

y = -1 -2x = -2x -1

Answer:

y = -2x - 1

Step-by-step explanation:

4x + 2y = -2

→ Minus 4x from both sides

2y = -4x - 2

→ Divide both sides by 2

y = -2x - 1

A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.

Answers

Answer:

C. 24%

Step-by-step explanation:

hope it works

Answer:

39%

Step-by-step explanation:

plzz help everything is due tonight! 29 pointssss

Answers

Answer:

Step-by-step explanation:

given=  -3(2n-3)=25-8n

distributive property=-6n+9=25-8n

subtraction property= 2n+9=25

division property =2n=16

n=8  

can u help me plzx part 2

Answers

I am here to help ya! (Again) :>
Answer: 528 inches^3
Explanation: Multiply all sides together
12*4*11
In total you get 527 inches^3

Hope this helps you! If available please give me a Branliest. It would be much appreciated. It would also help me answer more questions! Goodluck.

- Mathhotdog •~•

PLEASE HELP ITS TIMED LITTERALY IM BEGGING :(( 32 points WITH BRAINLIEST!!

Answers

Answer:

I think it might be C but I'm not 100% sure!

Step-by-step explanation:

You have to find a line of best fit (a line through the dots) but it's kind of tricky to do that so I think it's probably C but it could also be A. Just use your best judgement on this one!

Answer:

C

Step-by-step explanation:

If you graph all 4 and plot  all 4 of the  point, line c  is the most accurate and lines up the best out of all 4.

Suppose that QRS is isosceles with base q r. Suppose also that m q equals (5x - 14(degrees and Mr equals (4x - 2)degree

PLEASE HELP ME

Answers

Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

hted by f(x) = 4
4.0
3
The type of function
represented

Answers

what does this mean??

please help!! i will help you back!!

Answers

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

[tex]a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2} \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50[/tex]

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?
A. t = s - 18
10t = 12s + 32
B. s = t - 18
12s = 10t + 32
C. s = t - 18
10s = 12t + 32
D. t = s - 18
12t = 10s + 32

Answers

Answer:

[tex]\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}[/tex]

Step-by-step explanation:

The each issue of the sports magazine, [tex]s[/tex], has 18 fewer pages than each issue of the technology magazine, [tex]t[/tex], we have equation [tex]s=t-18[/tex]. This eliminates answer choices A and D.

The second equation can be written from the fact that the total number of pages in all the sports magazines, [tex]12s[/tex], is 32 more than the total number of pages in all the technology magazines, [tex]10t[/tex]. Thus, we have equation [tex]12s=10t+32[/tex], eliminating answer choice C and leaving answer choice [tex]\boxed{\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}}[/tex]

which following algebraic statements are true

Answers

Answer:

All of them are true.

Step-by-step explanation:

x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.

For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.

For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.

This means that all of the statements are true.

Simplify

(2m^4)^4*-n^5


this is the last questions but I'm confused

Answers

Answer:

-16m^16 n^5

Step-by-step explanation:

(2m^4)^4*-n^5

= 2^4*m^16*(-n^5)

= 16 m^16 * (-n^5)

= -16m^16 n^5

hopefully this will help

(2m⁴)⁴(-n⁵)-2⁴m¹⁶n⁵-16m¹⁶n⁵

Remember the rule

(a^m)^n=a^mn

Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP ​

Answers

Answer: b

Step-by-step explanation:

becuz now brainliest

The transformation of a function may involve any change. The correct option is A.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,

h(x) = f(x) + 1

The function is shifted up by 1 unit.

Hence, the transformation of the function is correctly described in the first option.

Learn more about Transforming functions:

https://brainly.com/question/17006186

#SPJ5

Please give me the answer and show me how you solved it

Answers

Answer:

Step-by-step explanation:

Whenever you're simplifying radicals and there are numbers involved, ALWAYS find the prime factorization of the number. It will always help...Promise! 8 = 2 * 2 * 2 or 2³. So we can rewrite that radical as

[tex]\sqrt[3]{2^3}[/tex]  Cubing "undoes" a cubed root, so the answer is 2

Answer: the answer is  2

The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?

Answers

To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).

ima give branliest if you answer this correctly​

Answers

Answer:

Step-by-step explanation:

It 1 2

does the great pyramid of giza fit the golden ratio? why or why not?

Answers

Step-by-step explanation:

hope it helps thanks

pls mark me brainliest

Terrific Tents has a new two-person tent. If the material costs $0.02 per square inch, find out how much it costs to make each two-person tent.

Answers

Answer:

$280

Step-by-step explanation:

Please find attached the image of the tent

cost of the tent = cost per square inch x total surface area of a triangular prism

total surface area of a triangular prism = (perimeter x height) + 2(area of a triangle)

Area of a triangle = 1/2 x base x height = 1/2 x 40 x 50 = 1000in²

1000 x 2 = 2000

Perimeter = 50 + 50 + 50 = 150

150 x 80 = 12,000

total surface area = 12,000 + 2000 = 14,000

Total cost = 14,000 x 0.02 = $280

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