Mathematics High School

find x and y
x+y=5
x=y+7

Answers

Answer 1

1st equation: x +y =5

 2nd equation: x = y +7

replace x in 1st with 2nd

y +7 +y =5

2y+7 =5

2y =-2

y = -1

now replace y in 2nd with -1

x = -1 +7

x = 6

answer:

x = 6

y = -1

Related Questions

Write 6.0126.012 as a mixed number in simplest form

Answers

60126 3/250          This is rounded to simplest form

A certain elevator can hold no more than 2500 pounds. Define a variable and write an inequality for this situation

Answers

Let x represent the total weight in pounds of people and items. The inequality is x≤2500 for the elevator's weight limit.

Let's define the variable x to represent the weight in pounds of the people and items inside the elevator.

The inequality representing the situation would be:

x≤2500

This states that the weight x must be less than or equal to 2500 pounds for the elevator to safely operate within its weight capacity.

Find the value of x if C is the midpoint of AB, AC=4x+5, and AB=78

Answers

Do 78=4x+5 and then subtract 5 from 5 and 5 from 78 and use that that answer and divide it by 4 and that equals x

I hope this helps
Final answer:

Given that AC = 4x+5, and C is the midpoint of AB, meaning AC = CB, then AB = 2*(4x+5). Given that AB = 78, we can solve the equation 8x + 10 = 78 to find x = 8.5.

Explanation:

The subject matter of this question is geometry, specifically concerning line segments and midpoints. If C is the midpoint of AB, then segments AC and CB are equal. This is a fundamental characteristic of midpoints.

Since AC = 4x + 5 and CB = AC, it also means that CB = 4x + 5. This implies that the total length of AB (which is the sum of AC and CB) equals 2 * (4x + 5). Therefore, AB equals 8x + 10.

We are given that AB = 78. So, we can set up and solve the equation 8x + 10 = 78. Subtracting 10 from both sides of the equation gives us 8x = 68. Dividing each side by 8 gives us x = 8.5. Therefore, the value of x that satisfies the given conditions is 8.5.

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Assume that a researcher randomly selects 14 newborn babies and counts the number of girls​ selected, x. the probabilities corresponding to the 14 possible values of x are summarized in the given table. find the probability of selecting exactly 4 girls..

Answers

The number of girls in the 14 newborn babies selected is a binomially distributed random variable with n = 14 and p = 0.5. And we know that the binomial probability distribution is given by 

P(X = k) = (nCk) p^k (1–p)^(n-k)

So, P(X = 0) = (14C0) • 0.5^0 • (1–0.5)^(14-0) = 0.000

P(X = 1) = (14C1) • 0.5^1 • (1–0.5)^(14–1) = 0.001

And so on.

Thus, P(X = 4) = (14C4) • 0.5^(4 • (1–0.5)^(14–4) = 0.061

So the probability of selecting exactly 4 girls is 0.061.


 

Answer:

0.061

Step-by-step explanation:

the difference between the measures of two complementary angles is 46. determine the measures of the two angles?

Answers

Let the angle be x . Then its complement is 90-x. So we have

x - (90- x) = 46
x - 90 + x = 46
2x = 46 + 90 = 136
x = 136/2 = 68

x = 68 degrees  and its complement = 22 degrees

Final answer:

To determine the measures of two complementary angles with a 46-degree difference, you can set up an equation and solve for the angles, resulting in approximately 22.0 degrees and 68.0 degrees.

Explanation:

Complementary angles are two angles that add up to 90 degrees. If the difference between them is 46 degrees, we can set up an equation to find their measures:

Let one angle be x. The other angle would then be 90 - x.

Given that the difference between them is 46, we have the equation: 90 - x - x = 46.

Solving the equation, the angles are approximately 22.0 degrees and 68.0 degrees.

If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c

Answers

The slope of the line is 4.  y = 4x + 2
The slope of the curve is y' = x^2
So when y' = 4, x^2 = 4 and x = + or - 2
c is irrelevant as it just raises or lowers the curve in a transformation mode.
Therefore c can be any real number.

Aidan has a lemonade stand. He spent $4.55 on supplies to make lemonade and $8.45 on supplies to make cookies. At his lemonade stand, he sold 23 cups of lemonade for $0.50 each and 17 cookies for $0.50 each. What were Ayden's profits that day

Answers

sorry I'm slow but I agree with the first answer try it on a calculator for yourself

If an experiment consists of five outcomes with p(o1) = 0.10, p(o2) = 0.20, p(o3) = 0.30, p(o4) = 0.25, then p(o5) is

Answers

.p(o5) is equal to 0.15. This can be determined because p(o5)= 1- [p(o1)+ p(o2)+ p(o3)+ p(o4)], which is equivalent to p(o5)= 1- (0.10+0.20+0.30+0.25), which gives you a p(o5) value of 0.15.

What is the measure of angle Y?
Round your answer to the nearest degree

24
26
69
61

Answers

24 is the answer because if you try any other answer it would be bigger than 180.

Answer:

I just took  the test the answer is indeed 24

Step-by-step explanation:


If g(x) = 3x − 4, what is the value of g−1(g(13))?

A. 17/3

B. 35

C. x+4/3

D. 13

Answers

The function g(x) = 3x-4 is a linear function. Therefore the inverse does exist (which is also linear)

Because we have an inverse, this means we can use the rule 
[tex]g^{-1}(g(x)) = x[/tex]

Replace x with 13
[tex]g^{-1}(g(x)) = x[/tex]
[tex]g^{-1}(g(13)) = 13[/tex]

The answer is choice D

The function g takes some input x from the *domain* and maps it to some value g(x) in the *range*. The function g^-1 takes some value g(x) from the *range* and maps it back to its associated value x in the *domain*. Essentially, when you feed an input through a function, and then feed that output through its inverse function, you get the original input back. So your answer here would be D. 13, since that was your original input.

if y=9 When x= -3 find x when y=6

Answers

Answer:

fawfafw

Step-by-step explanation:

awfafafawfa

If an employer spends $30,000 for weight-lifting equipment for the company gym. The company charges $100 a year to each employee who wants to buy a gym pass. The pass is for an unlimited amount of uses. There are 50 employees that work for this company. How many years will it take to pay off the weight-lifting equipment if half of the employees buy the gym pass each year?

Answers

half of 50 is 25

 25 *100 = 2500 a year

30,000 / 2500 = 12

 it will take 12 years

Right trapezoid WXYZ is shown. What is the measure of angle WXY?

Answers

Answer: [tex]107^{\circ}[/tex]

Explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒[tex]\angle WZY=\angle ZYX =90^{\circ}[/tex]

And, [tex]\angle XWZ= 73^{\circ}[/tex]

Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}

Therefore,

[tex]\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^{\circ}[/tex]

⇒[tex]\angle WXY+73^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}[/tex]

⇒[tex]\angle WXY=360^{\circ}-253^{\circ}=107^{\circ}[/tex]

Answer:

C. [tex]107^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.

We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.

Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals [tex]360^{\circ}[/tex], so we can set an equation as:

[tex]m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^{\circ}[/tex]

Upon substituting the given measures of our trapezoid we will get,

[tex]m\angle WXY+90^{\circ}+90^{\circ}+73^{\circ}=360^{\circ}[/tex]

[tex]m\angle WXY+253^{\circ}=360^{\circ}[/tex]

[tex]m\angle WXY+253^{\circ}-253^{\circ}=360^{\circ}-253^{\circ}[/tex]

[tex]m\angle WXY=107^{\circ}[/tex]

Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.

In a random sample of 55 newborn babies, what is the probability that 44% or fewer of the sample are boys. (use 3 decimal places). hint: you are asked to find p(p^^\^ < .44 ). to calculate this first find the z-score and then calculate the probability

Answers

0.053 The standard deviation of a binomial variable is sqrt(n*P*(1-P)) where n is the sample size and P is the probability of one of the outcomes. The sample size is 55 and we'll assume that both male and female are equally likely outcomes. standard deviation = sqrt(55*.5*.5) = 3.7081% 44% is 1.6181 standard deviations away from the mean of 50%. Looking this up on a standard deviation chart gives .0526 probability which we'll round to 0.053

If I put $1500 into my savings account in earned $180 of an interest at 4% simple interest how long was my money in the bank

Answers

Okay. There is $1,500 in your savings account and your annual interest is 4%. 1,500 * 4% (0.04) is 60. You earn $60 in interest each year. You earn $180 in interest total. 180/60 is 3. There. Your money has been in the bank for 3 years.

what is the greatest common factor of 125, 50, 275

Answers

The GCF is 25. I hope this helps!

Which of the following is true for the relation f(x) = 3x2 + 5?


Only the inverse is a function.


Neither the equation nor its inverse is a function.


Only the equation is a function.


Both the equation and its inverse are functions.

Answers

Neither the equation nor its inverse is a function.f(x) = 3.x² + 5 ↔ y = 3.x²+5
Let's find the inverse of y = 3.x²+5
x= 3.y²+5 → 3.y² = x-5  and y²= (x-5)/3 and y = √[(x-5)/3]

Hence the inverse of f(x) which is f⁻¹(x) =√[(x-5)/3] is NOT a function

Only the inverse is a function.WRONG
Neither the equation nor its inverse is a function.WRONG
Only the equation is a function.RIGHT
Both the equation and its inverse are functions.WRONG

PLEASE HELP ME!
At rugby practice, a group of 8 players stands in a circle and throws the ball from one person to the next. another player is trying to run faster than the ball moves around the circle as it is thrown from one player to the next. After 24 throws, the runner is right next to the ball. If the radius of the circle is 9yd, how many yards has the runner traveled? round your answer to the nearest tenth

Answers

diameter is the radius times 2, which is 18. 18 x 24 = 432 yards

Final answer:

The runner traveled approximately 45.1 yards around the circle during 24 throws at rugby practice.

Explanation:

The runner traveled approximately 45.1 yards.

To solve this, we can consider the circumference of the circle formed by the players, which is 2π times the radius. After 24 throws, the runner would have traveled a distance equivalent to 24 times the circumference of the circle.

So, the total distance the runner traveled would be 24 * (2π * 9) = 24 * 56.5487 = approximately 1357.2yd. Rounding to the nearest tenth, the runner traveled approximately 45.1 yards.

Consider the graph of the quadratic function y = 2x2 – 4x + 2. How many zeros does the graph have?

Answers

y = 2x^2 - 4x + 2

y = 2(x^2 - 2x + 1)

2(x  - 1)^2 = = 0

so the graph will just touch the x axis at x = 1

So there is one zero  duplicity 2.
Answer:

The graph has:

                  One zero with multiplicity  2.

Step-by-step explanation:

We are given a quadratic function in terms of the variable x as:

                            [tex]y=2x^2-4x+2[/tex]

The number of zeros of this function is equal to the number of points where the graph of this quadratic function intersects the x axis and the corresponding value of x is the root of this quadratic equation.

Hence, after plotting the graph of this quadratic function we observe that the graph meets the x-axis at just one point.

          Hence, the number of zeros of the graph is:

                          One.

There are 34 animals in a farmyard. some are cows and some are chickens. in total there are 104 legs. how many chickens are there?

Answers

There are 18 cows and 16 chickens.

Using a system of equations, the number of chickens that are there is calculated as: 16.

How to find how many chickens are there using system of equations?

Let's set up and solve the system of equations:

C + Ch = 34 (Total number of animals)

4C + 2Ch = 104 (Total number of legs)

Use a method like substitution or elimination to solve the system. Let's use elimination:

Multiply equation 1 by 2 to make the coefficients of 'Ch' in both equations the same:

2C + 2Ch = 68

Subtract equation 1 from equation 2:

(4C + 2Ch) - (2C + 2Ch) = 104 - 68

This simplifies to:

2C = 36

C = 18

Now that we know there are 18 cows, we can find the number of chickens using equation 1:

18 + Ch = 34

Subtract 18 from both sides:

Ch = 34 - 18

Ch = 16

So, there are 16 chickens on the farm.

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Polygons ABCD and A′B′C′D′ are shown on the coordinate grid:



What set of transformations is performed on ABCD to form A′B′C′D′?

Answers

reflection is that what your looking 4

Marvin reflected this trapezoid over a line, but only 2 of the vertices changed position. Which line could Marvin have used for the reflection?

Answers

He chose a line that was collinear with one of the trapezoids parallel sides. A trapezoid has only one pair of sides that are parallel. If Marvin chose a line that was collinear with on of these sides, then the result would be only two points changing position as the other two points would be on the line of transformation.

A cone is 10 inches tall and has a radius of 3 inches. What is the cone’s volume?

Answers

Area of the base is πr² where r is the radius. The volume of a cone is ⅓ πr²h where h is the height.
So the volume is ⅓ π×9×10=30 π=94.25 cu in approximately.

94.25  is the cone’s volume according to the given information.

What is volume?

Volume is a measurement of three-dimensional space that is inhabited. It is frequently expressed quantitatively utilizing SI-derived units, as well as several imperial or US-standard units. Volume and the of length are connected.

The space covered inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the material's potential.

Area of the base is πr² where r is the radius.

Area of the base = πr²

The volume of a cone is ⅓ πr²h where h is the height.

The volume of the cone =  ⅓ πr²

The cone and circle will be treated in the same equation

So the volume is

=  ⅓ π×9×10

=30 π

= 94.25 approximately.

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please help
What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125

Answers

Answer:

x = 21∠1 = 120°

Step-by-step explanation:

The two interior same-side angles are supplementary, so ...

... (5x +15)° +(3x -3)° = 180°

... 8x +12 = 180 . . . . . . . . . divide by °, collect terms

... 8x = 168 . . . . . . . . . . . . subtract 12

... x = 21 . . . . . . . . . . . . . . . divide by 8

Obtuse ∠1 has the same measure as its corresponding angle, (5x+15)°, so is ...

... ∠1 = (5·21 +15)° = 120°

In english class,each student must select 4 short stories from a list of 5 short stories to read. how many different combinations of short stories could a student read? math

Answers

It has to be 20 different combination

Please help me with 18 and 19

Answers

19 is C I think and 18 is too blurry to see sorry

What is the value for ƒ(x) = 4²ˣ - 100 when x = 2 ?

Answers

The answer is:  " 156 " .
__________________________________________
Given:  f(x) = 4^(2x) - 100 ;  
__________________________________________
When "x = 2" ; 

f(2) =4^(2*2)  - 100 = [4^(4) ]  - 100 ;
 
        =  (4* 4 * 4 * 4) - 100 ;
       
        =  (16 * 4 * 4) - 100 ;
 
        =  (64 * 4)  - 100 ;

        =  (256) - 100 ; 

        =  156 . 
____________________________________

Answer:

f(x)=156

Step-by-step explanation:

Round 256 and 321 ( need to when rounding in the hundreds place do we not change the entire number?

Answers

Is it a decimal? If you mean 2.56 and 3.21, they are 2.6 and 3.2 rounded to the nearest tenth. To the nearest whole number, they would both be 3.

If they are whole numbers, rounded to the hundreds place would be 300 for both. Rounded to two digits would be 260 and 320, respectively.

Please clarify what you mean.

Can anybody help me please?

Answers

The questions are hard to see

Which phrase describes the variable expression y-5

Answers

to translate y - 5 into words:

a number y is decreased by 5

i hope this helps!!
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