How many solutions does the system in the image shown

A:one solution
B:zero solutions
C:infinitely many solutions

The maximum number of students who studied all subjects is 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total students = 40

Number of students who studied maths = 32

Number of students who studied geography = 28

Number of students who studied social science = 26

The maximum number of students who studied all subjects.

= Highest number of students who studied one subject - Least number of students who studied a subject

= 32 - 26

= 6

Thus,

6 is the maximum number of students who studied all subjects.

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Answer:  3174.4

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

Answer:

9 3/4 cubic units

Step-by-step explanation:

The formula for the volume of a rectangular prism =

Length × Width × Height

From the question:

Length = 3 units

Height = 3 1/4 units

Width = 1 unit.

Volume of the prism =

3 units × 3 1/4 units × 1 unit

= (3 × 13/4 × 1 )cubic units

= 39/4 cubic units

= 9 3/4 cubic units

The total volume of the rectangular prism = 9 3/4 cubic units

Answer:

✔ 9

whole-unit cubes fit inside the prism.

✔ 3

quarter-cubic units fit inside the prism.

The total volume of the prism is  

✔ 9 3/4  units3.

Answer:

2.5 gallons

Step-by-step explanation:

5-1.25=3.75

3.75/3=1.25

1.25*2=2.50

Answer:

2.5, or 2 1/2 gallons

Step-by-step explanation:

Answer:

Solution given:

Step-by-step explanation:

[note: sin²x+cos²x=1]

Answer:

(sinx+coax+sinx-cosx) ( sinx+cosx-sinx+cosx)

4sinxcosx

2sin2x

The required value of x is 17 for the given equation 11 = x - 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

11 = x - 6

We can determine the value of x by adding 6 to both sides of the equation.

As per the question, we have

⇒ 11 = x - 6

⇒ 11 + 6 = x - 6 + 6

⇒ x = 11 + 6

Apply the addition operation, and we get

⇒ x = 17

Therefore, the required value of x is 17.

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0.25x^2 - 0.16y^4

Both terms are perfect squares so use the difference of squares formula

A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2

Answer is 0.01(5x + 4y^2)(5x-4y^2)

Answer:

Solution given:

0.25x^2 - 0.16y^4

[0.5x]²-[0.4y²]²

[Note: Using formula: x²-y²=(x+y)(x-y)]

(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.

An initial investment of $580, earning 3% annually-compounded interest, will take 18.429 years (investment period) to reach $1,000.

The period for the investment to accumulate to $1,000 at 3% compounded interest is computed using an online finance calculator.

The parameters required include identifying the interest rate, compounding period, present investment, and future value., from the given formula:

A = 580(1.03)^t

$1,000 = 580(1.03)^18.429

I/Y (Interest per year) = 3%

PV (Present Value) = $580

PMT (Periodic Payment) = $0

FV (Future Value) = $-1000

Results:

N = 18.429

= 18 years and 5 months

Total Interest = $420

Thus, for the account to reach $1,000, it will take 18 years and 5 months.

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A = 580(1.03)^t

Answer:

center: P

Radius: 12cm

# of radii: 5

Diameter: 24cm

# of diameters: 2

Circumference: 75.36cm

Step-by-step explanation:

the center is labeled with the point p

radius is the distance from the center to the circumference of a circle

diameter is the distance from one point on a circle through the center to another point on the circle. (and twice the radius)

circumference is 2(pi)r

pi can be rounded to 3.14

Answer:

<K = 67degrees

Step-by-step explanation:

From the parallelogram given, the opposite angles are equal i.e <L = <J

Given

<L = 5x + 18

<J = 7x - 20

Equating both sides

5x +  18 = 7x - 20

Collect the like terms

5x - 7x = -20 -18

-2x = -38

x = 38/2

x = 19

Also <J + <K = 180

7x - 20 + <K = 180

7(19) - 20 + <K = 180

133  - 20 + <K = 180

113 + <K = 180

<K = 180 - 113

<K = 67degrees

Answer:

C - 16√5

Step-by-step explanation:

Simply subtract 19 and 3 while keeping √5 the same.

19√5 - 3√5 = 16√5

Answer:

D. infinitely many

Step-by-step explanation:

5+2 = 7 so 4y + 7 = 5 + 2 + 4y just equals 4y + 7=4y + 7 and any value of y is true in that equation.

Answer:

D :)

Step-by-step explanation:

Add 55 and 22.

4y+7=7+4y4y+7=7+4y

Move all terms containing yy to the left side of the equation.

Subtract 4y4y from both sides of the equation.

4y+7−4y=74y+7-4y=7

Combine the opposite terms in

Subtract 4y4y from 4y4y.

0+7=70+7=7

Add 00 and 77.

7=77=7

Since 7=77=7, the equation will always be true for any value of yy.

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

(−∞,∞)

Answer:

$48.96

Step-by-step explanation:

Given data

Length= 10inches

Width=14 inches

Let us find the perimeter of the  certificate

P=2L+2W

P= 2*10+2*14

P=20+28

P= 48 inches

Hence if 1 inche cost $1.02

Then 48 inches will cost x

cross multiply we

x= 48*1.02

x= $48.96

Hence it will cost $48.96 to frame the certificate

5. The width of the house. = 30 feet

6. The height of the house. = 22.5 feet

7. The height of the first floor. = 12.5 feet

8. The height of the roof. = 10 feet

9. The width of the door. = 5 feet

10. The height of the door. = 7.5 feet

The actual length of each segment is calculated by counting the units in the scale drawing and multiplying by the scale factor

In the problem, the scale factor is  two and a half feet = 2.5 feet

5. The width of the house

number of units from the drawing = 12 units

actual length = number of units from the drawing * scale factor

actual length = 12 * 2.5 = 30 feet

6. The height of the house

number of units from the drawing = 9 units

actual length = 9 * 2.5 = 22.5 feet

7. The height of the first floor

number of units from the drawing = 5 units

actual length = 5 * 2.5 = 12.5 feet

8. The height of the roof

number of units from the drawing = 4 units

actual length = 4 * 2.5 = 10 feet

9. The width of the door.

number of units from the drawing = 2 units

actual length = 2 * 2.5 = 5 feet

10. The height of the door.

number of units from the drawing = 3 units

actual length = 3 * 2.5 = 7.5 feet

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Answer:

6 kilometers

Step-by-step explanation:

2x3=6

please brainiest

Answer:

It explicitly states that 1cm represents a distance of 3km.

If the two places are 2cm apart...

it simply means that they're 6km apart!.

Answer:

[tex]7\sqrt{3}[/tex]

Step-by-step explanation:

Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:

The side opposite to 30 degree angle: n

The side opposite to 60 degree angle: [tex]n\sqrt{3}[/tex]

The side opposite to 90 degree angle: 2n

Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = [tex]7\sqrt{3}[/tex]

Answer:

A polygon is a two-dimensional closed figure that has three or more straight sides. Any figure with straight edges, such as a triangle or rectangle, is a polygon. Figures that have any curved sides or open sides are not classed as polygons

Step-by-step explanation:

A regular polygon is a polygon where all of the side lengths are equal and all of the angle measures are equal. ... However, the sides are not congruent. Therefore, it is an irregular pentagon. Irregular polygons have side lengths that are not congruent.

there's no pic that helps determine which is which but I hope this explanations helps you.

The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.

A graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.

In the given problem, we have two linear equations which are

y = 3x - 6 ...eq(i)

y = 2/5x + 5 ...eq(ii)

Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.

The coordinates to the nearest integer are (x, y) 4 and 7

The value of x is 4 and y is 7

Kindly find attached graph below.

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The null hypothesis exists that the standard deviation σ exists equivalent to 0.62. The alternative hypothesis exists that it does not equivalent 0.62.

Statistical hypothesis testing employs null and alternate hypotheses. While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no association between variables.

A proposed claim or defense in the hypothesis test is referred to as an alternative hypothesis in statistics. In most cases, it supports the research premise and shows that there is a statistical relationship between the variables. It is one of the two statements in statistical hypothesis testing that are mutually exclusive.

H₀: σ = 0.62

H₁: σ ≠ 0.62

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62.

The alternative hypothesis exists that it does not equivalent 0.62.

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Answer: 7.785,7.476,7.293,8.37.7.9

Step-by-step explanation:

Answer:

x = 25

y = 65

Step-by-step explanation:

I'm not sure if I'm right but..

To solve x:

Since there is a 90 degree angle with 65 degrees and x, the total should sum up to 90. (ofc)

90 - 65 = 25 <--- the missing angle (x)

To solve y:

I'm pretty sure that it is also a 90 degree angle because there is a 90 degree across from you, so they should have the same angles. Since you know x=25, You would do this:

90 - 25 = 65 <--- y

Your welcome!!

Answer:

20

Step-by-step explanation:

5*4=20

5*5=25, but it is bigger than 24.

So the ans is 20

Answer:

if it says bit .ly etc don't click it

Answer:

A. 24 ÷ [6 − 2] × 5 + 6

Step-by-step explanation:

Sarah's teacher wrote this expression on the whiteboard. 24 ÷ 6 − 2 × 5 + 6 Where could she place brackets in the expression for it to be equal to 36? A. 24 ÷ [6 − 2] × 5 + 6 B. 24 ÷ 6 − [2 × 5 + 6] C. [24 ÷ 6] − 2 × 5 + 6 D. 24 ÷ 6 − 2 × [5 + 6]

Rule of operations

BODMAS

B = Bracket

O = 0f

D = Division

M = Multiplication

A = Addition

S = Subtraction.

Check all options

A. 24 ÷ [6 − 2] × 5 + 6

= 24 ÷ (4) × 5 + 6

= 6 × 5 + 6

= 30 + 6

= 36

B. 24 ÷ 6 − [2 × 5 + 6]

= 4 - (10 + 6)

= 4 - 10 + 6

= 0

C. [24 ÷ 6] − 2 × 5 + 6

= 4 - 10 + 6

= 0

D. 24 ÷ 6 − 2 × [5 + 6]

= 4 - 2(11)

= 4 - 22

= -18

Option A is the correct answer

Answer: 220

Step-by-step explanation: See photo. The measure of an inscribed angle is equal to half the measure of the included arc.

110 = 1/2 x

220 = x

Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .

A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.

The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:

These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.

[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]

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