x = 12 − y
2x + 3y = 29

Answers

Answer 1
So if these are simultaneous equations here are the steps:


Bring the variables to one side and the constants to the other side of the equal sign. Remember if you bring anything to the other side it’s sign has to change:


x + y = 12
2x + 3y = 29


Now multiply a variable on the top equation so that it will be equal with the variable on the second:

3x + 3y = 36
2x + 3y = 29


Now subtract the equations which gets you:

x = 7


So we know what the x is, now we have to substitute the x in an equation we created; we’ll go with x + y = 12:

x + y = 12

= 7 + y = 12


Now bring the variable to one side and constants to the other like we did before (remember, the sign must change if the constant or variable is moved to different sides of the equal sign):


y = 12 - 7, which would equal y = 5.


So our answer would be:

( x, y ) = ( 7, 5 )

Hope this helps have an awesome day!

Related Questions

Researchers surveyed 250 college students at one time. They were asked if they were taking any engineering classes and whether or not they felt depressed. If 75 students reported taking at least one engineering class and 15 of those students said they were depressed, what is the incidence of depression in this group

Answers

Answer:

the  incidence of the depression is  1 ÷ 5

Step-by-step explanation:

Given that

There is 250 college students that are surveyed

In the case when 75 students reported for minimum ne engineering class

And, out of this 15 students would be depressed

We need to find out the incidence of the depression

So

= 15 ÷ 75

= 1 ÷ 5

Hence, the  incidence of the depression is  1 ÷ 5

If a quadrilateral is a rhombus, the diagonals bisect each other.

True
False

Answers

Answer: I think it is false...

Picture Below
(i have to make this 20 characters so I'm doing this now)

Answers

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?

Answers

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

. Given the significance level 0.025, the F-value for the degrees of freedom, df = (7,3) is A. 5.89. B. 14.62. C. 8.45. D. 27.67.

Answers

Answer:

B. 14.62

Step-by-step explanation:

Given that

The significance level is 0.025

We need to find out the degree of freedom df(7,3)

So for this please see the attached table

And, the calculation is given below;

As we can see that f-value = 14.62

df1=7

and

df2=3

Therefore the second option is correct

The same is relevant and considered

Solve for x.

x + 1 3 4 = 2 7 8

Yeah, Kinda tired to answer this so If someone could help me out :)

Answers

Answer:

134+144

Step-by-step explanation:

just take the answer (278)- the number they give you

278-

134

144

Answer:

Solution given:

x+134=278

subtracting 134 each term

x+134-134=278-134

x=144

Which of the following statements about the mapping is not true?

Answers

Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

range can have multiple domain but domain can't have multiple ranges. So you can have (1,3) , (2,3) , (4,3)

but you can NOT HAVE (1,1) , (1,2) , (1,6)

the x value can not repeat in order for it to be a function due to the vertical line test thing

What is a,b,c and d please help me

Answers

Step-by-step explanation:

Edit:

a is 18

b is 36

c is 18

d is 18 times sqr root of 3

Answers:

a = 18b = 36c = 18d = 18*sqrt(3)

sqrt is shorthand for "square root"

=====================================================

Explanation:

The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.

In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.

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

The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.

The longer leg d is equal to sqrt(3) times the short leg, ie,

d = a*sqrt(3)

d = 18*sqrt(3)

You could use the pythagorean theorem to solve for d like so:

a^2 + d^2 = b^2

18^2 + d^2 = 36^2

d^2 = 972

d = sqrt(972)

d = 18*sqrt(3)

I skipped a bunch of steps, but you get the idea.

a) Area:
b) Perimeter:
13 cm
add speaker notes

Answers

Answer:

area: 169

perimeter: 52

HELP ME WITH THIS PLS! MATH :)

Answers

Answer:

(-7,5)

Step-by-step explanation:

the question was cut off, but I'm assuming that you want to find the location of Denver. Looking at the coordinate plane, Denver, would sit at (-7,5) as you find what x and y values they meet up at. Hopefully this answers your question

If we are looking for the location of Dallas (that is all I see), the coordinates would be as follows.

(2,-4)

Hope this helps.

18) In a class of 50 boys 3/5of the boys got marks above 60 in Mathematics. How
many boys got above 60 marks?​

Answers

Answer:

thx for the points mwah

Step-by-step explanation:

(06.03 MC)How is the expression (5 + y) ⋅8 described by its factors and terms?
A.) It has two factors and the factor (5 + y) has one term.
B.) It has three factors and the factor (5 + y) has one term.
C.) It has three factors and the factor (5 + y) has two terms.
D.) It has two factors and the factor (5 + y) has two terms.

Answers

The true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.

How to describe the expression?

The expression is given as:

(5 + y) * 8

An expression represented as:

a * b

Has two factors, and the factors are a and b

This means that the expression (5 + y) * 8 has two factors

An expression represented as:

a + b

Has two terms, and the terms are a + b

This means that the expression 5 + y has two factors

Hence, the true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.

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The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. Approximately half of the layoffs will be hourly employees (The Wall Street Journal, January 25-26, 2014). Suppose the following data represent the percentage of hourly employees laid off for Sam's Club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 a. Compute the mean and median percentage of hourly employees being laid off at these stores.

Answers

Answer:

The mean percentage of hourly employees being laid off at these stores is 52.

The median percentage of hourly employees being laid off at these stores is 55.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

So

[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]

The mean percentage of hourly employees being laid off at these stores is 52.

Median:

Value that separate the lower 50% from the upper 50% in the sorted set.

The sorted set is

36 38 43 44 44 45 50 55

The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.

The median percentage of hourly employees being laid off at these stores is 55.

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7). What can be said about the graph of y= -f(x)

Answers

Since the function y= f(x) is decreasing on the interval (5, 7), y = -f(x) is INCREASING on the interval (5,7), because the slope is inverted due to the negative sign.

The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).

The function:

y = -f(x)

Let f(x) be:

f(x) = -aˣ

Here 'a' is the real number a > 0

f(x) is decreasing on the interval ( 5, 7).

Applying transformation:

y = -f(x)

y = aˣ

Function y is increasing on the interval ( 5, 7).

Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).

Learn more about the function here:

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For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the
cdge of the inner circle to the edge of the outer circle is 7 centimeters. What is the exact arca, in squarc
centimeters, of the shaded outer region?

Answers

Answer:

d

Step-by-step explanation:

Area of the inner circle = 3^2 π = 9 π

total area = 10^2 π = 100π

area of the shaded region

100π - 9 π = 91 π

The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have:

The radius of the inner circle r = 3cm

The distance from the edge of the inner circle to the edge of the outer circle = 7 cm

So the radius of the outer circle = 7+3 = 10 cm

Area of the inner circle = π(3)²  = 9π square cm

Area of the outer circle = π(10)²  = 100π square cm

Area of the shaded region = 100π -9π = 91π square cm

Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.

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Ramon's RV Sales has current assets of $1,235,500 and current liabilities of $710,150. Find the current ratio.
1.4
1.5
1.7
1.9
None of these choices are correct.

Answers

1.7 is the correct answer

4. John wants to cover a box entirely with silver paper. How many square centimetres
of silver paper will he need if the box measures 22 cm long, 16 cm wide, and 10 cm deep?
A. 1 464 sq cm
B. 3 520 sq cm
C.4 164 sq cm
D. 5 230 sq cm

5. How many square decimetres of cardboard is needed to make a cubical soda cracker box measuring 2.5 dm on each edge?
A. 5.0 sq dm
B. 6.25 sq dm
C. 37.5 sq dm
D. 7.35 sq dm

6. Suppose you want to produce ping pong balls with 1.5 dm radius. What is the least
amount of rubber you would need if you want to produce 10 ping pong balls?
A. 262.8 sq dm
B. 272.6 sq dm
C. 282.6 sq dm
D. 286.2 sq dm​

Answers

Answer:

4.

l=22cm

b:16cm

h:10cm

surface area =2(lb+bh+lh)=2(22*16+16*10+22*10)

=1464cm²

5.

a=2.5dm

area cubical soda cracker box=6a²=6*2.5²=37.5dm²

6.

r=1.5dm

area of ball=4πr²=4π×1.5²=28.27dm² per ball

for 10 bal =28.27×10=282.6dm²

If m < JKN = 28° and m < KLM = 103°, find m < JML.

Answers

Answer:

152

Step-by-step explanation:

The required measure of the angle ∠JML  is given as 98°.

What is quadrilateral?

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
∠KLM = ∠MJK = 103°
∠ JKL = 2×28 = 56°

The required measure of the ∠JML is given as,
A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees. So the sum of the angle of the kite is equal to 360°

∠KLM + ∠ JKL + ∠MJK + ∠ JML = 360

103 + 56 + 103 + ∠JML = 360
∠JML = 98°

Thus, the required measure of the angle ∠JML  is given as 98°.

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Find the value of x.

Answers

Answer:

x=17 plz the brainliest!

Step-by-step explanation:

3x+39=90

3x+39-39=90-39

3x=51

\frac{3x}{3}=\frac{51}{3}

x=17

do you think theres anyway at all that Fernando and i could ever work it out. i am crazy in love wirh him and wish that he would call me​

Answers

Answer:

I do. But keep in mind, sometimes things aren't meant to be. You may not see it now but you could be better off without him.

8n^2+4n-16=-n^2 Show your work so I can get an answer

Answers

Solve the equation for  

n

by finding  

a

,  

b

, and  

c

of the quadratic then applying the quadratic formula.

Exact Form:

n

=

2

±

2

37

9

Decimal Form:

n

=

1.12950278

,

1.57394722

Is the function shown in the graph one-to-one?


Yes, there exists one input for every output.

No, there exists more than one input for at least one output.

Yes, there exists one output for every input.

No, there exists more than one output for at least one input.

Answers

Yes, there exists one input for every output.

Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form

Answers

Answer:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo

Step-by-step explanation:

Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo

Find the product of (√2 + √5) (√7 - √5)

PLs help( a guy answered to this image (linked below) said I have to find that to find the answer) pls solve for me! THx :))))

Answers

Answer:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Step-by-step explanation:

Given

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Required

Solve

We have:

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]

Open bracket

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]

[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]

Maya’s chocolate is 59% cocoa. If the weight of the Chocolate bar is 93 grams, how many grams cocoa does it contain? Round your answer to the nearest tenth.

Answers

Answer:

54.9 because it is the answer

Answer:

= 54.9g

Step-by-step explanation:

You must find 59% of 93g

50% = 46.5g

1% = 0.93g

9% = 8.37g

46.5+8.37=54.87g

rounded = 54.9g

What is the surface area of the sphere below?
5
2.5
A. 1257 units2
B. 1007 units2
C. 12573 units2
O
D. cannot be determined

Answers

Here's the solution :

In a sphere,

[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]

now, let's solve :

[tex]s = 4 \times \pi \times 5 \times 5[/tex][tex]s = 100\pi[/tex]

hence, correct answer is B. 100π unit²

The surface area of the sphere is 100 π unit².

The correct option is B.

What is Surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

Radius of Sphere= 5 unit

Now, the formula for Surface area of Sphere is

= 4πr²

= 4 (3.14) (5)(5)

= 4 x 3.14 x 25

= 314

= 10 π unit²

Thus, the Surface area is 10 π unit².

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Please can somebody help me

Answers

Answer:

Rectangle: bh or l · w

Circle: pi(r)²

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

Answer:

25 11/28

can i have brainliest now lol

Answer:

[tex]25\frac{11}{28}feet[/tex]

Step-by-step explanation:

[tex]3+13\frac{1}{7} + 9\frac{1}{4}[/tex]

[tex]3+22\frac{11}{28}[/tex]

[tex]25\frac{11}{28}[/tex]

Help me pleaseeee thank you

Answers

The answer is D 21t
For each day is an increase of 21

Answer:

D

Step-by-step explanation:

Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t

Write the standard equation for the circle whose center is at ​(6​,2​) and whose radius is 2.

Answers

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

Step-by-step explanation:

In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex].

The circle in this question is centered at [tex](6,\, 2)[/tex].  

[tex]6[/tex] is the [tex]x[/tex]-coordinate of the center of this circle. [tex]a = 6[/tex].[tex]2[/tex] is the [tex]y[/tex]-coordinate of the center of this circle. [tex]b = 2[/tex].

The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].

Hence, the standard equation for this circle would be:

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].

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