Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?

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:

-4(3n+5)

Step-by-step explanation:

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

Answer:

B

Step-by-step explanation:

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

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

A = Not sure

B= 12.0

Hope I helped

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:

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:

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:

[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

To learn more about ellipse click :

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Answer:

81

Step-by-step explanation:

8^2 + 2 * 8 + 1

= 64 + 16 + 1

= 80 + 1

= 81

Answer:

it would be about 138 for the hole thing

Step-by-step explanation:

Answer:

6 buses and 3 vans

Step-by-step explanation:

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:

where is the diagram

Step-by-step explanation:

?

Answer:

C !!!   THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!

Step-by-step explanation:

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)

Learn more on reflection here: https://brainly.com/question/1908648

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.

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

Answer:

86%

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:

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]

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

you are welcom

Answer:

the second one

Step-by-step explanation:

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

Learn more about Solving Inequality here:

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Answer:

224

Step-by-step explanation:

5 percent of 640=32

32 times by 7=224