What is the solution to this system?
y = x
3x - 2y = 3

Answer:

70%

Explan your answer :

200-130=70 and 70% of 100 = 30% so

Answer: 65

Step-by-step explanation:

0.65

×

100

=

0.65×100=

65

%

65%

The height of the cylinder whose area is given would be =7.6cm.

To calculate the height of a cylinder, the formula for the area of cylinder should be used and it is given below as follows;

Surface area of cylinder = 2πr²+2πhr

This can also be written as = 2πr(h+r)

surface area = 54cm²

h+r = 9cm

r = ?

54 = 2×2.14×r(9)

54 = 38.52r

r = 54/38.52

r = 1.4

h = 9-1.4 = 7.6cm

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Answer:

x= 52

y= 25

z= 90

pls mark me as BRAINLIAST

Answer:  20 songs is the initial value.

Step-by-step explanation: The graph shows that at the beginning of January was 20. She adds 5 songs per month.

The equation would be y = 5x + 20  where y is her total number of songs and x is the number of months that have passed.

Answer:

I think the answer is a

Step-by-step explanation:

Answer:

I dont mind :D These were my favorite! They are actually really simple. Dont overthink it. It even gave you a hint!

It says a^2 + b^2 = c^2

We can substitute what we do have which is a = 10 and c = 15

10^2 + b^2 = 15^2

Now we square it

100 + b^2 = 225

Next, all we have to do is subtract the 100 from our answer so 225-100 which is 125, so b has to be 125!!! Because 125 + 100 is 225 :D

Step-by-step explanation:

The length of "b" using Pythagoras Theorem.

\( {a}^{2} + {b}^{2} = {c}^{2} \)

\( {10}^{2} + {b}^{2} = {15}^{2} \)

\(b = {15}^{2} - {10}^{2} \)

\( {b}^{2} = 125\)

\(b = \sqrt{125} \)

\(b = 11.18033989\)

\(b = 11.2 \: (nearest \: tenth)\)

Therefore, the length of "b" is 11.2

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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Answer:

The slope is 1/4

The y-intercept is 3

Step-by-step explanation:

Hopefully, this helps :)

y = x (slope) + b (y-intercept)

Answer:

8/10 or 4/5 (simplified)

Step-by-step explanation:

3/5      >      6/10   (x2 by numerator and denominator to match with 7/10)

6/10 + 7/10 = 13/10

13/10 - 1/2      >      13/10 - 5/10 = 8/10

8/10 or 4/5 (simplified)

Answer:

The most likely result is that there will be no winners in the stadium.

Step-by-step explanation:

The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.

Answer:

It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.

The number of ways N people can be arranged in a straight line without restriction = N!

The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people

= (N - 1) * 2 * (N - 2)!

= 2 (N - 1)!

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!

the molality of the solution is approximately 0.1422 mol/kg.

To calculate the molality of a solution, we need to divide the moles of solute by the mass of the solvent (in kilograms).

First, we need to determine the number of moles of sodium chloride (NaCl) in the solution.

The molar mass of NaCl is the sum of the atomic masses of sodium (Na) and chlorine (Cl), which is approximately 58.44 g/mol.

To convert the given mass of NaCl (45.2 g) to moles, we divide it by the molar mass:

moles of NaCl = 45.2 g / 58.44 g/mol

Next, we need to determine the mass of the water in kilograms.

The given mass of water is 0.556 kg.

Now we can calculate the molality using the formula:

Molality = moles of solute / mass of solvent (in kg)

Molality = (45.2 g / 58.44 g/mol) / 0.556 kg

Simplifying, we get:

Molality ≈ 0.1422 mol / kg

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Answer:

one eighth of a number b

Step-by-step explanation:

Answer:

one eighth of a number b

Step-by-step explanation:

Answer:

x=5 y=1

Step-by-step explanation:

Like x^2-4x+3=0 or sin(x)=1.

short answer is that x equals 1.

Answer:

They are different because they have different place values and the decmical is in a different place so 5.99 is less than 5.990

If the scale factor of figure A to figure B is 3:8, the value of x is 9.

We are given Figure A and Figure B, along with their respective scale factors. To solve the problem, we must utilize the proportion rule. The ratio of the two figures is 3:8, so we can write the equation for proportion as follows -

3/8 = x/24

Applying the cross-multiplication rule, we get,

3 * 24 = 8 * x

Further solving for the value of x, we get,

x = (3 * 24) / 8

x = 9

Hence, the value of x is 9.

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The complete question is -

If the scale factor of figure A to figure B is 3:8 find the value of x.

Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Eliminate B C and D

Based on the given information and the similarity of triangles, we can determine that JO has a length of 2.5 units.

To find the length of JO  triangle MNO, we can use similar triangles and the properties of parallel lines.

Since IJ is parallel to MN, we can conclude that triangle IMJ is similar to triangle MNO. This means that the corresponding sides of the two triangles are proportional.

Using this similarity, we can set up the following proportion:

JO/MO = IJ/MN

Substituting the given lengths, we have:

JO/MO = 4/8

Simplifying the proportion, we get:

JO/5 = 1/2

Cross-multiplying, we have:

2 * JO = 5

Dividing both sides by 2, we find:

JO = 5/2 = 2.5

Therefore, the length of JO is 2.5 units.

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The number of people that attended the game in each cost category is Faculty: 7,000,Alumni: 18,000,Public: 18,000,Veterans: 4,000

To determine the number of people that attended the game in each cost category,  to consider the given information and set up a system of equations to solve for the unknowns. Let's break down the problem step by step.

Let's denote the number of people in each cost category as follows:

Faculty: F

Alumni: A

Public: P

Veterans: V

The number of alumni is 11,000 more than the faculty, so we have the equation:

A = F + 11,000

The number of public plus alumni together was 10 times the number of veterans, so  the equation:

P + A = 10V

The number of faculty plus alumni together was the same as the number of veterans, so we have the equation:

F + A = V

The total number of people attending the game is the sum of the people in each category, so  the equation:

F + A + P + V = 100,000

Now, use these equations to solve for the unknowns.

First, substitute equation 1 into equations 2 and 3:

P + (F + 11,000) = 10V

F + (F + 11,000) = V

Simplify these equations:

P + F + 11,000 = 10V

2F + 11,000 = V

Next, substitute these equations into equation 4:

F + (F + 11,000) + P + (2F + 11,000) = 100,000

Simplify and combine like terms:

4F + 22,000 + P = 100,000

Subtract 22,000 from both sides:

4F + P = 78,000

Now a system of two equations:

P + F + 11,000 = 10V

4F + P = 78,000

solve this system of equations to find the values of F, P, and V.

By solving the system,

F = 7,000

P = 18,000

V = 4,000

Finally, substitute these values back into equation 1 to find the value of A:

A = F + 11,000 = 7,000 + 11,000 = 18,000

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P(A or B) = 7/10. (Probability of obtaining a prime number or an even number is 7 out of 10 possible numbers.)

To calculate the probability of Event A or Event B occurring, we add the probabilities of Event A and Event B and subtract the probability of their intersection.

Event A is obtaining a prime number, with 4 out of 10 possibilities.

Event B is obtaining an even number, with 5 out of 10 possibilities. The intersection of A and B is the number 2, which satisfies both conditions.

Therefore, P(A or B) = P(A) + P(B) - P(A and B) = 4/10 + 5/10 - 1/10 = 7/10. Hence, the probability of Event A or Event B is 7/10.

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Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

\(\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}\)

Answer:

(a) \(k = 5\)

(b) \(y = 5x\)

Step-by-step explanation:

Given

\(\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}\)

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

\((x_1,y_1) = (2,10)\)

\((x_2,y_2) = (6,30)\)

The constant of proportionality k is:

\(k = \frac{y_2 - y_1}{x_2 - x_1}\)

\(k = \frac{30-10}{6-2}\)

\(k = \frac{20}{4}\)

\(k = 5\)

Solving (b): The equation

In (a), we have:

\((x_1,y_1) = (2,10)\)

k can also be expressed as:

\(k = \frac{y- y_1}{x- x_1}\)

Substitute values for x1, y1 and k

\(5 = \frac{y- 10}{x- 2}\)

Cross multiply:

\(y - 10 = 5(x - 2)\)

Open bracket

\(y - 10 = 5x - 10\)

Add 10 to both sides

\(y - 10 +10= 5x - 10+10\)

\(y = 5x\)

Answer:

Gradient= 7

Step-by-step explanation:

The equation is in y=mx+b form

Since they are asking you to find the gradient (which is also known as the slope) you just have to look at "m" in the equation

In this equation the slope/gradient is 7

Answer:

\(\rm{7\)

Step-by-step explanation:

Hi there!

The equation of the line is written in slope-intercept form (y=mx+b)

m is the slope, and b is the y-intercept.

So, we can identify the slope pretty fast, just by looking at the equation.

y=7x+4

Slope (gradient)=7

Thus, \(\rm{7\) is our final answer.

Hope it helps! Enjoy your day!

\(\bold{GazingAtTheStars}\)

Answer:

False.

Step-by-step explanation:

The statement "1:24,000" is not an example of a verbal statement. It is a numerical ratio or scale commonly used in cartography and map scales. Verbal statements typically involve spoken or written language rather than numerical representations. :)

The required function that gives miles driven in t hours will be [Distance=42×t].

So, the formula for distance is:

Distance =  s × t

Where s is speed and t refers to time.

So, the functions that give miles driven in t hours will be:

Distance =  s × t

Distance =  42 × t

Therefore, the required function that gives miles driven in t hours will be [Distance=42×t].

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Answer:

Explanation:

The slope-intercept form of the equation of a line can be written as;

where m = slope of the line

b = y-intercept of the line

So if Joanne graphed a linear function with a slope(m) of -4 passing through (0, -2), let's go ahead and determine the y-intercept of the line as shown below;

Therefore, the equation of line will be y = -4x - 2 as graphed below;

Given Nick's function as y = -2x - 4, combining both graphs, we'll have the below;

The red line is Joanne's line while the blue line is Nick's line.

We can see from the above graph of both lines that Joanne's line intersects the y-axis above Nick's line's

Answer:

9x2-y2 + 8xy -1

Step-by-step explanation:

9x2 -1 - y2 +8xy

9x2-y2 + 8xy -1

The sum of these two given quadratic function is (9x² - y² + 8xy - 1).

A quadratic function is a function that has a variable with the highest power of the variable is 2.

A quadratic function may contain more than one variable. However, the highest degree of any variable must be 2.

Given, two function are 8x² + 12 - y² and x² - 13 + 8xy.

Therefore, the sum of these two given function are:

(8x² + 12 - y²) + (x² - 13 + 8xy)

=  8x² + x² - y² + 8xy +12 - 13

= 9x² - y² + 8xy - 1

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