Find both of them plzzzzz

The system of linear equations is y = 800x + 5445, and y = 900x + 4995. The solution is 4.50. This states that the number of steps taken by Danna and Lucia will be equal after 4.50 hours.

The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

Let us suppose the number of hours = x.

Let us suppose the total number of steps = y.

Given that, Lucia has 5445 steps and Lucia averages 800 steps per hour.

For Lucia the linear equation is:

y = 800x + 5445

For Danna, Danna has 4995 steps and Danna averages 900 steps per hour.

For Danna the linear equation is:

y = 900x + 4995

The system of linear equations is:

y = 800x + 5445 (equation 1)

y = 900x + 4995 (equation 2)

Substitute the value of y of equation 1 in equation 2:

800x + 5445 = 900x + 4995

5445 - 4995 = 900x - 800x

450 = 100x

x= 4.50

B. The solution of the linear equation is 4.50. This states that the number of steps taken by Danna and Lucia will be equal after 4.50 hours.

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Answer:

a=144.15

median=157.5

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

The height of the can is 4.96 cm

The formula for surface area of a cylinder is,

SA = 2B + Ph

where B represents the area of one base.

P is the perimeter of the base

and h is the height of the cylinder

Here, the diameter of the can is 6 cm

so, the radius r would be 6/2 = 3 cm

The base of the can is circular.

Using the formula for the area of circle the base area would be,

B = π × r²

B = π × 3²

B = 28.27 sq. cm.

And the perimeter of the circular base is nothing but the circumference of circle.

P = 2πr

P = 2π(3)

P = 6π

P = 18.85 cm

Here, SA = 150 sq.cm.

Substituting values in above formula,

SA = 2B + Ph

150 = 2(28.27) + (18.85)h

h = (150 - 56.54) /  (18.85)

h = 4.96 cm

This is the required height of the can.

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The area of the polygon is 80 units².

What is a Polygon?

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.

Dividing the polygon into parts marked in the attached figure so as to calculate the area easily.

For triangle, DEF

Area = \(\frac{1}{2} bh\)

        = \(\frac{1}{2}\) × 3 × 4

       = 6 units²

For triangle BCD

Area = \(\frac{1}{2}bh\)

        = \(\frac{1}{2}\) × 2 × 4

        = 4 units²

For trapezoid ABFG,

Area = \(\frac{1}{2} (a + b) h\)

        = \(\frac{1}{2}\) × (5.5 + 12) × 8

        = 70 units²

Hence, total area = 6 + 4 + 70

                             = 80 units².

Therefore, the total area of the polygon is 80 units².

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The coordinate of point k is (-5,0) with the given transformation and the coordinate of point P is (9,-2).

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

14)

The K'(-8,6) is become by the rule x - 3 and y + 6

So, x - 3 = -8 → x = -8 + 3 = -5

y + 6 = 6 → y = 0

So the coordinate of point K is (-5,0).

15)

The point P'(1,-2) is translated along the vector {-8,0} so -8 means x - 8 and 0 mean y - 0.

Therefore, x - 8 = 1 → x = 1 + 8 = 9

y - 0 = -2 → y = -2 so coordinate is (9,-2).

Hence "The coordinate of point k is (-5,0) with the given transformation and the coordinate of point P is (9,-2)".

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Answer:

B

Step-by-step explanation:

If it cost $2.05 for each hamburger that's going to be your constant.

And it says plus an additional $2,000 so you will add that after 2.05x.

And it says 13,025 is the total so that would be on the left.

13,025 = 2.05x + 2,000

I'm 100% sure

I took Honors Algebra 1 in 8th grade, so you can trust me!!!

Answer:

B. 13,025 = 2.05x + 2000

Step-by-step explanation:

y = mx + b

The total costs, or y, is 13, 025 according to the question.

The m will be the cost per burger because the variable x will represent the number of burgers made.

The b will be the additional 2000 because it is the costs added to the cost per burger.

The variable x will not be on the total cost or the additional cost because neither of these numbers depends on how many burgers were made.

Answer:

13 *2*2

or

13*2^2

Step-by-step explanation:

52 = 26*2

But 26 is not prime

52 = 13*2 *2

52 = 13 * 2^2

Step-by-step explanation:

hope it helped!! ..............

Answer:

1.  (q² + 8) - (4q² + 1)

Simplify each term.

q²+8−4q²−1

Simplify by adding terms.

−3q²+7

2. (3x + 7x² - 6) - (5x² + x + 9)​

Simplify each term.

3x+7x²−6−5x²−x−9

Simplify by adding terms.

Tap for more steps...

2x²+2x−15

Step-by-step explanation:

How much farther than Shamir will Juliet travel in one hour is : b. 3 miles.

1 hour= 60 minutes

Given:

Difference in 10 minutes=1/2 mile

Hence:

Difference in one hour=1/2×(60/10)

Difference in one hour=1/2× 6 mile

Difference in one hour=3 miles

Therefore how much farther than Shamir will Juliet travel in one hour is : b. 3 miles.

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Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

Answer:14 out of 24

Step-by-step explanation:

Answer:

15.71 cm

Step-by-step explanation:

Equation for the circumference of a circle: 2πr or dπ where r is the radius & d is the diameter.

5*π = 15.71

Answer:

15.71 cm

Step-by-step explanation:

Use the circumference formula, C = 2\(\pi\)r

Since the radius of half of the diameter, the radius will be 2.5 cm

Plug in the radius into the formula and solve:

C = 2\(\pi\)r

C = 2\(\pi\)(2.5)

C = 15.71

So, the circumference of the circle is approximately 15.71 cm

Answer:

It is not a right triangle. It is an obtuse triangle.

Step-by-step explanation:

Since 185 is not equal to 169, the triangle with side lengths 8, 11, and 13 is not a right triangle.

We have,

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Check if this condition holds for the given triangle:

8² + 11²

= 64 + 121

= 185

But,

13² = 169

Thus,

Since 185 is not equal to 169, the triangle with side lengths 8, 11, and 13 is not a right triangle.

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The solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π) are θ = π/6 and θ = 13π/6.

To find all solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π), we can solve for θ by isolating the sine term and then using inverse sine (arcsin) to find the angles.

Start with the equation: 2sinθ - 1 = 0.

Add 1 to both sides of the equation: 2sinθ = 1.

Divide both sides by 2: sinθ = 1/2.

Take the inverse sine (arcsin) of both sides: θ = arcsin(1/2).

The inverse sine (arcsin) of 1/2 is π/6, so we have one solution θ = π/6.

However, we need to find all solutions in the interval (0, 2π). Since the sine function has a periodicity of 2π, we can add 2π to the solution to find additional solutions.

Adding 2π to π/6, we get θ = π/6 + 2π = π/6, 13π/6.

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Answer:

top left

Step-by-step explanation:

Answer:

3 pounds 2 oz

Step-by-step explanation:

1 pound = 16 oz

x pounds = 50 oz

Cross Multiply

16x = 50 oz             Divide by 16

x = 50 / 16

x = 3 pounds with 2 oz left over.

Your calculator will give you 3.125

0.125 = 1/ 8

1/8 * 16 = 2

Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

The vertices A, B and C belongs to a right triangle whose area is equal to 24 square units.

According to geometry, two sides are perpendicular when their common angle is equal to 90°, as cos 90° = 0. This can be found by proving this result from linear algebra:

\(\overrightarrow {BC} \,\bullet \,\overrightarrow{BA} = \|\overrightarrow{BC}\|\cdot \|\overrightarrow {BA}\|\cdot \cos \theta = 0\)

Where:

The triangle is a right triangle if and only if the dot product of the two sides adjacent to the angle is equal to zero. First, we determine each vector associated to the two sides of the triangle:

Side BC

\(\overrightarrow{BC}\) = C(x, y) - B(x, y)

\(\overrightarrow {BC}\) = (- 4, 2) - (2, - 4)

\(\overrightarrow{BC}\) = (- 6, 6)

Side BA

\(\overrightarrow{BA}\) = A(x, y) - B(x, y)

\(\overrightarrow {BA}\) = (6, 0) - (2, - 4)

\(\overrightarrow{BA}\) = (4, 4)

Second, determine the dot product of the two sides:

(- 6, 6) • (4, 4) = (- 6) · 4 + 6 · 4 = - 24 + 24 = 0

Then, the sides BC and BA represent the base and the height of the triangle, respectively. The area of the right triangle (A) is equal to:

A = (1 / 2) · BC · BA

Where:

BA = √(4² + 4²)

BA = √32

BA = 4√2

BC = √[(- 6)² + 6²]

BC = √72

BC = 6√2

A = (1 / 2) · 4√2 · 6√2

A = (1 / 2) · 24 · 2

A = 24

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The dimensions of the garden are 13 yards by 13 yards.

To find the dimensions of the garden, we need to set up and solve a system of equations. Let's call the length and width of the garden x. The total length of the fence is 2x + 2, since there are two sides of length x and two sides of length 1. The total width of the fence is also 2x + 2. Therefore, the total length and width of the fence is 4x + 4.

We can set up the following system of equations to represent this problem:

2x + 2 + 2x + 2 = 56

4x + 4 = 56

4x = 52

x = 13

Thus, the dimensions of the garden are 13 yards by 13 yards.

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This output can be added to the final SOP expression. F(A3,A2,A1,A0) = (A3'A2'A1'A0)+(A3A2'A1A0)+(A3A2A1A0)+(A3A2A1'A0)

The following Karnaugh map is used to minimize SOP expression for a circuit that takes a 4-bit unsigned input A3, A2, A1, A0 and outputs a single value F, which is true when the number is in the range 6. Karnaugh Map with Variables A3, A2, A1, A0K-Map

Truth Table A3 A2 A1 A0 f00001 00101 01001 01110 10010 10111 11011 11110 We can see from the truth table that when the input numbers A3 and A1 are true (1) and A2 and A0 are false (0), the function produces a true (1) output. The resulting minimal SOP expression is:F(A3,A2,A1,A0) = A3'A2'A1'A0 + A3A2'A1A0 + A3A2A1A0 + A3A2A1'A0.

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Answer:

7.2p

Step-by-step explanation:

Calculator

Answer:

35⁰

Step-by-step explanation:

180-90-55=35⁰

there is a right angle

The angle sum property of a triangle:

The total measure of the three angles of a triangle is 180°

\(\rm\large\rightarrow \: \: x \: + \: 55 \degree \: + \: 90 \degree \: = \: 180 \degree\)

\(\rm\large\rightarrow \: \: x \: + \: 145 \degree \: = \: 180 \degree\)

\(\rm\large\rightarrow \: \: x \: = \: 180 \degree \: - \: \: 145 \degree \)

\(\rm\large\rightarrow \: \: x \: = \: 35 \degree\)

Answer:

4x(x - 1)

Step-by-step explanation:

Factor the numerator and denominator

64\(x^{5}\) - 64x ← factor out 64x from both terms

= 64x(\(x^{4}\) - 1) ← difference of squares

= 64x(x² - 1)(x² + 1) ← x² - 1 is also a difference of squares

= 64x(x - 1)(x + 1)(x² + 1)

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

(8x² + 8)(2x + 2) ← factor out 8 and 2 from each factor

= 8(x² + 1) × 2(x + 1)

= 16(x² + 1)(x + 1)

Then expression can be written as

\(\frac{64x(x-1)(x+1)(x^2+1)}{16(x^2+1)(x+1)}\) ← cancel (x² + 1) and (x + 1) on numerator/ denominator

= \(\frac{64x(x-1)}{16}\) ← cancel common factor 16 on numerator/ denominator

= 4x(x - 1)

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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