A store pays $98 for a winter coat and marks the price up 10%.What is the price?

Sum of 5th & 8th terms of an AP = 37

11th term = 32

A.P

We know that,

nth term of an AP – an = a + (n - 1)d

Hence,

⟹ a₅ + a₈ = 37

⟹ a + (5 - 1)d + a + (8 - 1)d = 37

⟹ 2a + 4d + 7d = 37

⟹ 2a + 11d = 37 -- equation (1)

Similarly,

⟹ a₁₁ = 32

⟹ a + (11 - 1)d = 32

⟹ a + 10d = 32

⟹ a = 32 - 10d

Substitute the value of a in equation (1).

⟹ 2(32 - 10d) + 11d = 37

⟹ 64 - 20d + 11d = 37

⟹ 64 - 37 = 20d - 11d

⟹ 27 = 9d

⟹ 27/9 = d

⟹ 3 = d

Substitute the value of d in equation (1).

⟹ 2a + 11(3) = 37

⟹ 2a + 33 = 37

⟹ 2a = 37 - 33

⟹ 2a = 4

⟹ a = 4/2

⟹ a = 2

Now,

General form of an ap = a , a + d , a + 2d...

⟶ Required AP = 2 , 2 + 3 , 2 + 2(3)...

⟶ Required AP = 2 , 5 , 2 + 6...

⟶ Required AP = 2 , 5 , 8...

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

Answer:

84°

Step-by-step explanation:

I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.

Answer:

4k+5a_3=10_2k

4k+2k+5a=10+3

6k+5a=13

Answer:

The table that starts with (-3, -1)

Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

-3       -1

0         0

-2         -1

8          1

Step-by-step explanation:  the x value can not repet it self but the y value can

Answer:

-101

Step-by-step explanation:

5ac - 26

5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)

-15 × 5 - 26

- 75 - 26

- 101

I hope this is helpful.

Distance = rate * time

Let r = rate

Distance is the same for both runs,  so:

.5r = D =  3/4(r - 2)

Distribute (and convert .5):

2/4r = 3/4r - 3/2

Subtract 3/4 r from both sides:

-1/4r = -3/2

Multiply both sides by -4 to get a solitary r:

r = -3 * -4 / 2

r = 3 * 2

r = 6 miles per hour

.5 hours * 6 mi/hr = 3 miles

check:

6 - 2 = 4

3/4 hours * 4 mi/hr = 3 miles

Answer:

14

Step-by-step explanation:

Divide them.

Answer:

35502

Step-by-step explanation:

The product will be 35502, 183x100+183x90+183x4=18300+16500+732=35502. Hope it helps!

Answer:

You can exempt a A, C, and D because the greatest number out of the group is 4/5 which means 4/5 should be at the end of the list since it's going for least to greatest.

B is the answer

Answer:

x=6

Step-by-step explanation:

1/2x=3/4(x-2)

1/2x=3/4x-1.5      (distribute)

+1.5    +1.5

1/2x+1.5=3/4x

-1/2x     -1/2x

1.5=1/4x

6=x

hope this helps

brainliest?

Answer:

[tex]y=-4x+6[/tex]

Step-by-step explanation:

If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.

[tex]2=-4(1)+6[/tex]

[tex]2=-4+6[/tex]

[tex]2=2[/tex]

If it works you have your answer!

The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is

y = -4x + 6.

The slope of y = -4x - 6 is -4.

passing through the point (1, 2)

the new line is parallel to the original line, it will have the same slope (-4).

Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.

substituting values,

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

learn more about slope here

brainly.com/question/2491620

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Answer:

Yes, the point lies on the line.

Step-by-step explanation:

 Given coordinate of the locus = (1,2)

  Equation of the line  2x+4y = 10

Unknown:

Does the given coordinate lie on the line?

Solution:

The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.

   x  = 1 and y = 2;

   2x+4y = 10

 So;

    2(1) + 4(2) gives 2 + 8 = 10

Yes, the point lies on the line.

Answer:

x=19

Step-by-step explanation:

x=25-6

x=19

Answer:

x=19

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

x+6−6=25−6

x=19

Answer: x = -8

Step-by-step explanation: 2x=-16, x=-8

Answer:

-8

Step-by-step explanation:

3x - 3 =x - 19

3x - x =-19 +3

2x =-16

x=-16 :2

x=-8

9514 1404 393

Answer:

  9x -10y = 75

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators. Here, that is 5×3 = 15. Multiplying both sides of the equation by that gives ...

  15(3/5x -2/3y) = 15(5)

  9x -10y = 75

Answer:

IT dependsssss

Step-by-step explanation:

what kind?

Answer:

5

Step-by-step explanation:

you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))

Answer:

ASA test will come

angles (given)

side between angles (common side)

Answer: Correct me if im wrong but i strongly suggest (A.)

Answer:

Where is the ordered pair?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

Answer: 4:1

Step-by-step explanation:

Divide by two to get in simplest form.

80 ÷ 2 = 40

20 ÷ 2 = 10

Make a ration with 40 and 10.

40:10

Make 40:10 simpler by dividing by 10.

40 ÷ 10 = 4

10 ÷ 10 = 1

Make 4 and 1 into a ration.

4:1

Answer:

4 : 1

Step-by-step explanation:

Given the ratio

80 : 20 ← divide both parts by 20

= 4 : 1 ← in simplest form

Answer:

1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)

2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)

3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)

4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)

Step-by-step explanation:

The coordinates of the vertices of the parallelogram are given as follows;

J(2, 1), K(7, 1), L(6, -3), M(1, -3)

1. We have, for a rotation of 270° counterclockwise about the origin we have

f(x, y) = (y, -x)

Therefore, we have for the vertices;

f(J(2, 1)) = J'(1, -2)

Therefore, we have the coordinates of J' as (1, -2);

2. We have, for a rotation of 180° counterclockwise about the origin we have

f(x, y) = (-x, -y)

Therefore, we have for the vertex point K;

f(K(7, 1)) = K'(-7, -1)

3. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point L;

f(L(6, -3)) = L'(3, 6)

4. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point M;

f(M(1, -3)) = M'(3, 1)

Answer:

a...................

Answer:

x = -6

Step-by-step explanation:

I hope this helps!

Answer:

x= -6

Step-by-step explanation:

3/2x+8-8=-1-8

3/2 x= -9

2. 3/2x=2(-9)

3x= -18

3x/3 = -18/3

x= -6

1. Divide total quantity by serving size:

30 cups / 1 1/4 cup per serving =

30/1.25 = 24 servings.

2. Length of side of larger rectangle = 24

Length of side of smaller rectangle = 8

The scale factor of larger to smaller = 8/24 = 1/3

Scale factor is 1/3