5x - 2y = 15
2x + 4y = 12

Select the solution to the system from the options below:

Answers

Answer 1

Answer:

7/2, 5/4

Step-by-step explanation:

Answer 2

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

-----------------

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]


Related Questions

1. Sandra is trying to determine the height of a light pole at the corner of the block on

which she lives. The shadow cast by the light pole is 5 feet.

If the angle of elevation from the sidewalk to the top of the light pole is represented

as e, which equation could be used to find the height of the light pole?

Answers

Answer:

h = 5(tane)

Step-by-step explanation:

The diagrammatic representation of the question given is attached below ;

The height of the light pole, h = opposite side

Adjacent side = 5 feets

Angle of elevation = e

Using trigonometry ;

Tan e = opposite / Adjacent

Tan e = h / 5

Making h the subject ;

h = 5(tane)

a(-6) = -42 what is a?​

Answers

Answer:

it is 7

Step-by-step explanation:

The answer to your equation is 7 because 7•-6= -42

Here is the problem for you :)

Answers

Answer:

Angle Y:

Sin(Y) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Cos(Y) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Tan(Y) = 36/15, if simplified: 12/5, in decimal it would be: 2.4

Angle X:

Sin(X) = 15/39, if simplified: 5/13, in decimal it would be: 0.38Cos(X) = 36/39, if simplified: 12/13, in decimal it would be: 0.92Tan(X) = 15/36, if simplified: 5/12, in decimal it would be: 0.42

Hope this helps!

-3.5 + 7.75 + 6.9 (4.3)

Answers

Answer:

33.92

Step-by-step explanation:

Similar Triangles

When are triangles considered similar?

a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal

Please select the best answer from the choices provided

Answers

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

HELP ASAP DUE TOMORROW

Answers

Answer:

5) P (arrive) + P (not arrive) = 100%   Complements

80% + P( not arrive) = 100%    Substitute thr ralees

P ( not arraive) = 100% - 80%   Isolate the needed

P ( not arrive) = 20%

therefor, the probability of not arriving on time is:-

20%, or 0.20, or 1/5

The complements of arriving on time is not arriving on time.

The probability is equal to 100%

--------------------------------

hope it helps..

have a great day!

NEED HELP PLZ
Consider the following set of equations:

Equation A: y = -x + 5
Equation B: y = 6x − 4

Which of the following is a step that can be used to find the solution to the set of equations? (4 points)

a
−x = 6x + 4

b
−x − 2 = 6x + 4

c
−x + 5 = 6x − 4

d
−x + 5 = 5x

Answers

Answer:

look at the picture i sent......

Answer:

for other guy brains

Step-by-step explanation:

100 points link down below! no off sight links please no I don't knows just a thing that state all the answers Ill give you another 50 points within the next 15 minutes if you finish it correctly and efficently.

Answers

Answer:

All of the questions?

Step-by-step explanation:

Answer:

i am not downloading this

Step-by-step explanation:

What is the probability of drawing 2 aces (at once) from a standard deck of cards? Leave your answer as a simplified fraction​

Answers

Anwner : 4/52

Explanation : The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221.

or the figure shown on the​ right, find m∠3 and m∠4.

Answers

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

The measure of ∠3 is 96° and measure of ∠4 is 64°.

What is Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

In triangle,

Measure of first angle (m ∠1 ) = 43°

Measure of second angle (m ∠2) = 41°

Let measure of ∠4 = x degree

Now, Sum of all angles in a triangle be 180 degree.

So, We can formulate;

m∠1 + m∠2 + m∠3 = 180°

43° + 41° + x = 180°

84° + x = 180°

x = 180° - 84°

x = 96°

So, measure of ∠3 = 96°

Since, The measure of ∠3 and measure of ∠4 are supplementary angles.

Hence, We get;

m ∠3 + m ∠4 = 180°

96° + m ∠4 = 180°

m ∠4 = 180° - 96°

m ∠4 = 64°

Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.

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Please help will give brainliest


Small
Large
Blue 17
Red
8
3
12
?
Find: P(Red and Small)
Remember to reduce your answer.

Answers

Answer:

3/10

Step-by-step explanation:

Remark

The denominator of the probability is the entire amount present. Just add

Denominator

Blue/Large      17

Red/Large        8

Small                3

Red Small      12

Total               40

Red / Small

P(red/small) = 12 / 40

P(red/Small)  = 3 / 10

A projectile is launched at a height of h feet above the ground at an angle of θ with the horizontal. The initial velocity is v0 feet per second, and the path of the projectile is modeled by the parametric equations
x=(v0cosθ)t and y=h+(v0sinθ)t-16t^2
Write the parametric equations to model the path of a projectile launched from ground level (h = 0) at the given values of θ and v0. Use your equations to answer the following questions.

θ=40∘ , v0=128 feet per second
Determine the maximum height
Give the time the object reaches this height (to one decimal place).
Give the approximate horizontal distance the objects is at this point (to one decimal place).
Determine the time the object will hit the ground after it is launched (to one decimal place).

Answers

Using the equation, the time the object will hit the ground after it is launched is 3.4 seconds.

To model the path of a projectile launched from ground level (h = 0), we can set h = 0 in the equation for y:

[tex]y = (v_0sin \theta)t - 16t^2[/tex]

Therefore, the parametric equations for the path of the projectile are:

[tex]x = (v_0cos\theta)t \\y = (v_0sin \theta)t - 16t^2[/tex]

Substituting θ = 40∘ and v0 = 128 feet per second, we get:

[tex]x = (128 cos 40^o)t\\y = (128 sin 40^o)t - 16t^2[/tex]

To determine the maximum height, we need to find the vertex of the parabolic path, which is given by:

t = -b/2a

where a = -16, b = 128 sin 40∘, and c = 0 (since the projectile starts and ends at ground level). Substituting the values, we get:

t = -128 sin 40∘ / (2*(-16)) = 2.3 seconds (approx)

The maximum height can be found by substituting this value of t into the equation for y:

y = (128 sin 40∘)(2.3) - 16(2.3)^2 = 230.3 feet (approx)

Therefore, the maximum height is 230.3 feet and it is reached at 2.3 seconds.

To find the horizontal distance at this point, we can substitute the value of t into the equation for x:

x = (128 cos 40∘)(2.3) = 172.8 feet (approx)

Therefore, the approximate horizontal distance the object is at this point is 172.8 feet.

To determine the time the object will hit the ground after it is launched, we need to find the time when y = 0:

[tex]0 = (128 sin 40)t - 16t^2[/tex]

Solving for t using the quadratic formula, we get:

t = 0 or t = 8 sin 40∘ / 2 = 3.4 seconds (approx)

Therefore, the time the object will hit the ground after it is launched is 3.4 seconds.

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The Clothes Barn is having a 65% off sale on all the dresses. Jennifer paid $43.75 for a dress that was on
sale. What was the original price of the dress?

1. $125.00
2. $28.44
3. $15.31
4. $105.00

Answers

Answer:A

Step-by-step explanation:

I used the process of elimination. I did, 125 x .65 to get 81.25. Then, I subtracted 81.25 to 125. To get 43.75.

The original price of the dress was $125.00.

What is the percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred.

How to solve this problem?

Given that the discount = 65%

Sale price = $43.75

Let the original price of the dress is $x.

Now, sale price = x - x * 65% = x - x * 65/100 = (100 - 65)x/100 = 35x/100

We can write

35x/100 = 43.75

i.e. x = (43.75 * 100)/35 = 4375/35 = 125

Therefore, the original price of the dress was $125.00. So, option 1 is correct.

Learn more about percentages here -

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what is 1/3 plus 4/5

Answers

It is 1.13333333333
You can round it and then it will be 1.13

The rounding will be that as the number after the point is not 5 or above

Answer:

1.13333333333

Step-by-step explanation:

sorry if it’s wrong!

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

c) [tex]\frac{x-2}{x+6}[/tex]

Step-by-step explanation:

When given that function (f) is the following,

[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]

The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,

[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]

If is given that function (g) is the following,

[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]

Then one should also factor the expression,

[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]

One is asked to find the following,

[tex]f(x)*g(x)[/tex]

To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,

[tex]f(x)*g(x)[/tex]

Substitute,

[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]

Simplify, cross out like terms in the numerator and denominator,

[tex]\frac{x-2}{x+6}[/tex]

4log(2) x + log(2)5 = log(2)405

Answers

Answer:

3/2

Step-by-step explanation:

Which of the below is the correct name for a plane that contains points A, B, C, and D?
plane CDE
plane CD
⭐️plane ACD
plane A

Answers

Answer:

 

Step-by-step explanation:

Help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6

1+6

2+5

3+4

4+3

5+2

6+1

hope it helps

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. A confidence interval of 173.8 mg < μ < 196.2 mg is constructed for the true mean cholesterol content of all such eggs. It was assumed that the population has a normal distribution. What confidence level does this interval represent?

Answers

Answer:

The appropriate solution is "95%".

Step-by-step explanation:

The given values are:

Lower bound,

= 173.8

Upper bound,

= 196.2

Mean of cholesterol,

= 138 milligrams

S = 17.6 mg

Now,

The margin of error (E) will be:

=  [tex]\frac{Upper \ bound-Lower \ bound}{2}[/tex]

=  [tex]\frac{196.2-173.8}{2}[/tex]

=  [tex]\frac{22.4}{2}[/tex]

=  [tex]11.2[/tex]

As we know,

⇒  [tex]E=t_{\alpha 12}\times \frac{S}{\sqrt{n} }[/tex]

On putting the values, we get

⇒   [tex]11.2=t_{\alpha 12}\times \frac{17.6}{\sqrt{12} }[/tex]

On applying cross-multiplication, we get

⇒   [tex]t_{\alpha 12}=2.2044[/tex]

∴ [tex]\frac{\alpha}{2} =0.025[/tex]

   [tex]\alpha = 0.025\times 2[/tex]

      [tex]=0.05[/tex]

hence,

The confidence level will be:

⇒  [tex]CI=1-\alpha[/tex]

⇒        [tex]=1-0.05[/tex]

⇒        [tex]=0.95[/tex]

⇒        [tex]=95[/tex]%

help with Inscribed angles!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 30°

x = 80°

Step-by-step explanation:

Recall: an inscribed angle is half the measure of the intercepted arc

Thus:

x = ½(arc cb)

Substitute

x = ½(60)

x = 30°

x = ½(arc ab)

Substitute

x = ½(160)

x = 80°

25, 41, 49, 64Multiple ChoiceThe integers are not pairwise relatively prime since two of them have a common factor 3.The integers are pairwise relatively prime because there is no prime that divides all of them.The integers are pairwise relatively prime since two of them are prime.The integers are pairwise relatively prime because no two of them have a common prime factor.

Answers

Answer:

The integers are pairwise relatively prime since two of them are prime

Step-by-step explanation:

Given

[tex]25, 41, 49, 64[/tex]

Required

Determine if they are prime factors

First, we determine the gcd of the 4 numbers

[tex]25 = 1 * 5 * 5[/tex]

[tex]41 =1 * 41[/tex]

[tex]49 = 1 * 7 * 7[/tex]

[tex]64 = 1 * 2 * 2 * 2 * 2 * 2 * 2[/tex]

The common factor in the above computation is: 1

So:

[tex]gcd = 1[/tex]

Because the gcd is 1, this implies that no prime divides all the given numbers.

Hence, they are pairwise relatively prime

Some help please! :) Branliest

Answers

Answer:

Households without a vehicle were not surveyed. D

Step-by-step explanation:

I just finished with Maps testing like 10 minutes ago XD good luck!!

plzzzzz help me is for mathhhh​

Answers

See the picture below

A school has 510 male students and 850 female students. If a student from the school is selected at random, what is the probability that the student would be a male?

- 0.5
- 1
- 0.375
- 0.625

Answers

Answer:

0.375

Step-by-step explanation:

510 male out of a total of 1360

510/1360 = 0.375

A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of
$0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the
lower price, should the formula use a z-value that is greater than or less than-1?
a. Greater than -1
C. Greater than 1
b. Less than -1
d. Either way, it doesn't matter
Please select the best answer from the choices provided
A
B

Answers

the answer would be b

At one point during the hike, Noe is at an elevation of 453 feet. After descending at a rate of 50 feet per
minute, she reaches an elevation of 146 feet.
How long does the descent take?

Answers

Answer:

6.14 minutes   or   6 minutes & 8.4 seconds

Step-by-step explanation:

Initial elevation: 453 ft

Final elevation: 146 ft

Difference in elevation: 453 ft - 146 ft = 307 ft

speed = 50 ft/min

speed = distance/time

time * speed = distance

time = distance/speed

time = (307 ft)/(50 ft/min)

time = 6.14 minutes = 6 minutes + 0.14 * 60 seconds

time = 6.14 minutes = 6 minutes + 8.4 seconds

What is product of 3x-4 an 5x^2-2x+6
help me please, please, please

Answers

(3x-4)(5x^2-2x+6)
15x^3-6x^2+18x-20x^2+8x-24
15x^3-26x^2+26x-24

Step-by-step explanation:

[tex]thank \: you[/tex]

Write the fraction as a decimal and as a percent.
1
4

1
3

Answers

Answer:

1/4 as decimal =0.25

and as percentage 25%

1/ 3 as decimal = 0.33

and as percentage = 33.33%

Select the correct answer.
What does an individual's effective tax rate indicate?
Α.
the average Income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year's tax rate

Answers

Answer: B

Step-by-step explanation:

An individual's effective tax rate is the average tax rate.

Find the missing angle x
Then BAC

Answers

Answer:

Step-by-step explanation:

since arc BC is 2 time the angle of A   , then

2(9x +12) = 21x +3

18x +24 = 21x + 3

21 = 3x

7 = x

x = 7

∠BAC = 9(7) +12

∠BAC = 63 +12

∠BAC = 75°

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