A science test, which is worth 100 points, consists of 24 questions. E
points. If x is the number of 3-point questions and y is the number of
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions
The test contains 4 three-point questions and 20 five-point ques
The test contains 10 three-point questions and 14 five-point que
The test contains 14 three-point questions and 10 five-point qu-
O The test contains 20 three-point questions and 8 five-point que

Answer:

1

Step-by-step explanation:

The first equation's y value can be replaced with -x + 3, then solve it:

3x - 1 = -x + 3

3x + x = 3 + 1

4x = 4

x = 4 divided by 4

x = 1

Answer:

Step-by-step explanation:

[tex]\text{Compare}~ x^2 +5x +4=0~ \text{with the standard form of quadratic equation}~ \\\\ax^2 +bx +c =0\\\\a=1\\\\b=5\\\\c=4\\\\\sqrt{b^2 -4ac} = \sqrt{5^2 -4 \cdot 1 \cdot 4} = \sqrt{25 -16} = \sqrt{9} =3[/tex]

Step-by-step explanation:

area of square = 16

area of semi circle =( π/2)*4 = 2π

total area = 22.48cm^2

The events are mutually exclusive and the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

The given parameters are:

Standard deck = 52

n(7) = n(9) = 4

The probability of choosing a 7 or a 9 is calculated as:

P(7 or 9) = P(7) + P(9)

So, we have:

P(7 or 9) = 4/52 + 4/52

Evaluate

P(7 or 9) = 8/52

Simplify

P(7 or 9) = 2/13

Hence, the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

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Answer: 8y

Step-by-step explanation:

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

Rearrange the line equation of 5x - 2y + 6 = 0

So y = 5/2x +3

The y-intercept of the line equation is 3 as when x=0, y=3.

We know the Circle has the formula [tex](x-4)^2 + (y-5)^2 = ?^2[/tex] from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:

[tex](0-4)^2 + (3-5)^2 = ?^2[/tex]

This simplifies to:

[tex](-4)^2 +(-2)^2[/tex] = [tex]?^2[/tex]

16 + 4 = 20 = [tex]?^2[/tex]

The answer is 20 so the equation of the circle is [tex](x-4)^2 + (y-5)^2 = 20[/tex]

Answer:

√216 meters

Step-by-step explanation:

» Concepts

The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the length of the hypotenuse squared. It's represented as an equation of a² + b² = c², where a & b are the legs, and c is the hypotenuse

» Application

To find the length of the other leg, we have to plug in the values of b and c into the equation. B would be 15 meters, and c would 21 meters.

» Solution

Step 1: Simplify both sides of the equation.

Step 2: Subtract 225 from both sides.

Step 3: Take square root of both sides.

Therefore, the length of the other leg is √216 meters.

Answer:

EH = 120 degrees

Step-by-step explanation:

angles in a circle add up to 360 degrees

arc EF + arc FG + arc GH + arch EH = 360

95 + 90 + 55 + EH = 360

240 + EH = 360

subtract 240 from both sides to isolate EH

EH = 120 degrees

Answer: [tex]No~Solution[/tex][tex]s[/tex]

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : [tex]-4x-11=2(x-3x)+13[/tex]

Equations that are never true:

[tex]1.1 ~~~~ Solve : -24 = 0[/tex]

This equation has no solution.

A non-zero constant never equals zero.

Therefore your answer is [tex]No~Solution[/tex]

Answer:

x³-2x²-22x-21

Step-by-step explanation:

(x+3) (x²-5x-7)

x³-5x²-7x+3x²-15x-21

x³-2x²-22x-21

[tex]Answer☘️[/tex]

[tex]\large{\underline{ \boxed{ \sf{✰\:Important\:points }}}}[/tex]

[tex]\pink {\underline{ \boxed{ \sf{»\:distributive\:property }}}}[/tex]

⇝A property of functions that have a rule describing how the function can be performed to the individual components of another operation.

⇝If the operation ★ is distributive with respect to the operation °, then a★(b°c)=(a★b)°(a★c).

[tex] \sf➛(x + 3)( {x}^{2} - 5x - 7) \\[/tex]

[tex]\\ \sf \:➛ distributing \: x \: with \: ( {x}^{2} - 5x - 7) \\ \sf \: then \\ \sf \:➛ 3 \: with \: ({x}^{2} - 5x - 7)[/tex]

[tex] \sf \: ➛gives \\ \sf \: ➛{x}^{3} - 5 {x}^{2} - 7x + 3{x}^{2} - 15x - 21 \\ [/tex]

[tex] \sf➛{x}^{3} + 2 {x}^{2} - 22x - 21[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Option\:D✓ }}}[/tex]

Hope it helps ~

Answer:

coordinate, acute, ray, acute, star, ray

Step-by-step explanation:

The United States has a complex government system. One important tenet of this system is democracy, in which the ultimate power rests with the people. In the case of the United States, that power is exercised indirectly, through elected representatives. Although the U.S. has been a strong proponent of democracy, it did not invent democracy. The Greeks are often credited with pioneering a democratic government that went on to influence the structure of the United States. Read this article that describes how elements of ancient Greek democracy heavily influenced the figures that designed the United States government.

The statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

A place at which the entire mass of a body or all the masses of a system of particles appears to be concentrated is defined as the center of mass of a body or system of particles.

We have statement:

If you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass.

As we know, center of a mass is an object balance point it doesn't need to have equal amounts of mass on both sides of the center of mass.

Thus, the statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

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Answers:

Kinetic Energy Formula: [tex]KE = \frac{1}{2} mv^2[/tex]

Potential Energy Formula: [tex]PE=mgh[/tex]

Explanations:

For KE:

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

For PE:

In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.

Answer:

3<x<34

Step-by-step explanation:

(Big side to big angle)

Solution: 27>26 => 93°>3x - 9°

102°>3x

34>x

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

1 solution

Step-by-step explanation:

8m = - 48 ( divide both sides by 8 )

m = - 6 ← is the only solution

Answer:

9240

Step-by-step explanation:

22

​

​

×

Vice President

21

​

​

×

Treasurer

20

​

​

Answer:

Step-by-step explanation:

9240

Answer:

  7.07 years

Step-by-step explanation:

The standard deviation of a population is easily calculated by a spreadsheet or calculator. Care must be taken to use the formula for population standard deviation, rather than the formula that assumes the values are a sample.

__

The attached calculator shows the standard deviation is about 7.07 years.

_____

Additional comment

The population standard deviation is the square root of the variance. The variance is the mean of the squares of the values, less the square of the mean of the values. The second attachment shows the calculation done this way.

The units of standard deviation are the same as the units of the members of the population. Here, that is "years."

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

48 - 2X = 0, => X = 24

If he makes his trade on the day with the least favorable exchange rate, the amount received is ins 38.35

From the complete question, we have the following parameters:

£1= 0.47 --- least favorable rate

Given that the uses a charge of 8%, the amount received when he converts  £88.65 is calculated using:

Amount = Rate * Amount * (1 - 8%)

So, we have:

Amount = 0.47 * 88.65 * (1 - 8%)

Evaluate the product

Amount = 38.33

The closest amount to 38.33 is 38.35.

Hence, the amount received is ins 38.35

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Answer:

x=18

Step-by-step explanation:

we know that in parallelogram opposite sides are equal

Hence on equating we get

x=18

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex]  is the expression [tex]\frac{2}{k+2}[/tex]

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

[tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1} \\\\This\ can\ be\ simplified\ to:\\\\(\frac{2(2k+1)(k-2)}{(k+2)(k-2)(2k+1)}) \\\\=\frac{2}{k+2}[/tex]

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]

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26 is c

Step-by-step explanation:

Answer:

26 is Clay types 2 more words per minute than marsha. (c)

Step-by-step
if you study the number line correctly than you will find out your answer to number 26

Answer:

1/3 or 1:3

Step-by-step explanation:

since there is a 10/30 chance

to simplify divide by 2

10/30 ÷ 2/2 = 5/15

then divide by 5

5/15 ÷ 5/5 = 1/3

your answer is 1/3

another simple way to simplify

since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value

10/30 simplified/taken away 0s = 1/3

hope this helps:)

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula [tex]\displaystyle nCr=\frac{n!}{r!(n-r)!}[/tex] which describes the number of ways we can choose [tex]r[/tex] objects given [tex]n[/tex] possible choices. So, if [tex]n=7[/tex] and [tex]r=4[/tex], then:

[tex]_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35[/tex]

Hence, the teacher can make 35 different geometry quizzes.

Your answer is

1,000,000,000 (one billion)

Hope this helps.

Answer:  [tex]\frac{3(6-3)-2x^{2}+15 }{5} : \frac{-2x^{2}+24 }{5}[/tex]

You're welcome.

Answer:

A. 42.1%

Step-by-step explanation: