solve the system of linear equations 2x + 3y =16.9
5x =y + 7.4

2627828818182-718818288281-288181991_2792901=72892992

Answer:

[tex](10x - 3a)(3x + 39)(5x - 3) = 0 \\ dealing \: with \: (10x - 3a) \: and \: (5x - 3) \\ (10x - 3a)(5x - 3) = 0 \\ 50 {x}^{2} - (30 + 15a)x + 9a = 0 \\ sum \: of \: the \: equation \: = (30 + 15a) = - 1 \\ 15a = - 31 \\ a = - \frac{31}{15} [/tex]

Answer:

A = 37.1 square cm

Step-by-step explanation:

Composite Figures

The image shows a figure that can be seen as a composition of three regular shapes: two identical rectangles and a quarter of a circle.

The area of a rectangle of dimensions W and L is:

Ar = WL

And the area of a circle of radius r is:

[tex]Ac =\pi r^2[/tex]

A quarter of a circle has an area of:

[tex]\displaystyle A_q =\frac{\pi r^2}{4}[/tex]

The rectangles have dimensions of 5 cm by 3 cm, thus the area is:

Ar = 5 cm * 3 cm = 15 square cm

The quarter of a circle has a radius of r=3 cm, its area is:

[tex]\displaystyle A_q =\frac{\pi 3^2}{4}[/tex]

Calculating:

[tex]\displaystyle A_q =7.07\text{ square cm}[/tex]

The total area is twice the area of each rectangle plus the area of the quarter of a circle:

A = 2*15 + 7.07

A = 37.07 square cm

To the nearest tenth:

A = 37.1 square cm

Answer:

Step-by-step explanation:

Add all number together and take the square root

If this coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

Generally, if a coordinate (x, y) is reflected over the y-axis, the coordinate of the pre-image is (-x, y).

Note that the x-coordinate was negated while the y-coordinate remain the same.

Given the coordinate vertices of a triangle A(-4, 1), B (-1, 3) and C (-1, 1), if these coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

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Answer:

86%

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

1683 / 383 = 4.39 or approx 4.4

Answer:

4.39425587467 or 4 remainder 151.

Step-by-step explanation:

Long division.

Answer:

-4(3n+5)

Step-by-step explanation:

Factored -4 out of -12n-20. Let me know if this answers the question!

Answer:

224

Step-by-step explanation:

5 percent of 640=32

32 times by 7=224

Answer:

1/3,0.34,3.5%

Step-by-step explanation:

Answer:

3.5, 1/3, 0.34

Step-by-step explanation:

3.5 as a fraction is 7/2 and 0.34 as a fraction is 7/20

Answer:

5

Step-by-step explanation:

Hence, the average speed to the cyclist is 16mph.

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

We know,

distance covered = 4 miles

time taken = 15 minutes = [tex]\frac{1}{4}[/tex]hours

speed = [tex]\frac{4}{\frac{1}{4} }[/tex] = 16

Hence, speed is 16.

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Answer: B. 2y3 + 5y2 – 5y

Step-by-step explanation: From the expression 2y3 + 5y2 – 5y, the highest degree of the polynomial is 3. Hence, 2y3 + 5y2 – 5y is a polynomial with a degree of 3.

Answer:

the person on top is right its B

Step-by-step explanation:

but i got it because the assignment on edge said it's right

A = Not sure

B= 12.0

Hope I helped

Answer:

150

Step-by-step explanation:

Answer is Option-B

What is Inequality:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, when we substitute B = (-2, -9) in given inequality equation  i.e.,

5(-2) - 2(-9) > -4

-10 + 18 > -4

8 > -4 (Satisfied)

Others options won't satisfies.

Answer is Option-B

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Step-by-step explanation:                                                                                

Answer:

(a) yes

(b) 104% profit

Step-by-step explanation:

250 apples for $22,500

Part 1:

50x$120=$6000

Part 2:

200 sold at $1000 per 5 apples=200/5x1000=$40,000

$40,000+$6000=$46,000

A profit of $23,500

23500/22500=1.044 or 104% profit

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

8^2 + 2 * 8 + 1

= 64 + 16 + 1

= 80 + 1

= 81

Answer:

C

Step-by-step explanation:

a translation over the x-axis keeps the same x value but flips the y value (makes it the opposite.)

so here, C starts at point (1,-2). when reflected over the x-axis this becomes (1,2)

a translation to the left subtracts from the x value

the coordinate changes from (1,2) to (-2,2) because 3 is subtracted from 1

Answer:

7.5%  loss

Step-by-step explanation:

Step one:

given data

cost price= £352,000

selling price= £325,600

percentage loss= cost-selling price/cost price *100

percentage loss= 352,000-325,600/352,000*100

percentage loss= 26400/352,000*100

percentage loss= 0.075*100

percentage loss= 7.5%

Answer:

I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).

Step-by-step explanation:

[tex]5x - 2y = 30[/tex]

[tex]5(8) - 2(5) = 30[/tex]

[tex]40 - 10 = 30[/tex]

[tex]30 = 30[/tex]

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

Answer:

B

Step-by-step explanation:

Both C and D solve the equations, so the system must have infinite solutions.

Answer:

[tex]5 \sqrt{5} - 2 \sqrt{5} = 3 \sqrt{5} \\ 8 \sqrt{7} + 3 \sqrt{7} = 11 \sqrt{7} [/tex]

hope this helps.

Answer:

[tex]11 \sqrt{7} [/tex]

Step-by-step explanation:

[tex]8 \sqrt{7} + 3 \sqrt{7} [/tex]

[tex] \sqrt{7} (8 + 3) [/tex]

[tex]11 \sqrt{7} [/tex]

Answer:

226,335

251,401

Step-by-step explanation:

SKR SKR BOW

The minimum distance from Earth to Moon is 226,332 miles

The maximum distance from Earth to Moon is 251,401 miles

What is an Ellipse?

An ellipse is created by a plane intersecting a cone at the angle of its base

All ellipses have two foci, a center, and a major and minor axis

The sum of the distances from any point on the ellipse to the two foci gives a constant value

The value of eccentricity for all ellipses is less than one

The standard for of equation of ellipse is

( x²/a² ) + ( y²/b² ) = 1

where a > b

The length of the major axis = 2a

The length of the minor axis = 2b

The coordinates of foci = ( ±c , 0 )

where c² = a² - b²

Given data ,

The orbit of the Moon around the Earth is an ellipse with Earth at one focus

The length of the major axis 2a = 477,736 miles

The length of the minor axis 2b = 477,078 miles

Now , the value of a = 238,868 miles

The value of b = 238,539

Now , the maximum distance from earth to moon is = a + c

The minimum distance from earth to moon is = a - c

The value of the foci is given by c² = a² - b²

Substituting the values in the equation , we get

c² = ( 238,868 )² - ( 238,539 )²

c² = 157066903

Taking square roots on both sides , we get

c = 12532.63 miles

Now , maximum distance from earth to moon is = a + c

Maximum distance = 238,868 + 12535.63

                                = 251,400.63 miles

                                ≈ 251,401 miles

Now , The minimum distance from earth to moon is = a - c

Minimum distance = 238,868 - 12535.63

                               = 226,332.37 miles

                               ≈ 226,332 miles

Hence ,

The minimum distance from Earth to Moon is 226,332 miles

The maximum distance from Earth to Moon is 251,401 miles

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Answer:

it would be about 138 for the hole thing

Step-by-step explanation:

Step-by-step explanation:

Sum of angles in a triangle = 180°.

=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°

=> 9/7 * s° = 180°

=> s° = 180° * (7/9) = 140°

Hence the value of s is 140.

the variable in this question would be........................ W

you are welcom