4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

Answer:

The home team

Step-by-step explanation:

1 touchdown is equal to 6 points (plus a extra point for the kick)

1 field goal is worth 3 points

If you are including the extra point as the touchdown it would be 7 pts times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)

For the 2nd team the have 3pts times 4 field goals which would put the visiting team at 12 points total.

The home team scored more points at 21 points versus the visiting team which had only scored 12 points.

Step-by-step explanation:

due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.

5x - 5 = 6x - 27

-5 = x - 27

x = 22

Answer:

$945 no cents so no need to round the recimals

Step-by-step explanation:

$300 times the 5% is $15 dollars in interest

so in three years it would be an additional $45 dollars

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

y(a - b) = c(y + a)

Distribute

ay - by = cy + ac

Subtract cy from both sides

ay - by - cy = ac

Factor out y

y(a - b - c) = ac

Divide both sides by (a - b - c)

y = ac / (a - b - c)

Answer:

0

Step-by-step explanation:

Slope = Change in Y/Change in X

Slope = -6 - (-6)/3 - (-7)

Slope = 0/10

Slope = 0

This is a horizontal line

-Chetan K

Answer:

Let (-7, -6) be (x1, y1)

and (3, -6) be (x2, y2)

The slope can be found with [tex]\frac{y2-y1}{x2-x1}[/tex]

Substitute in values:

[tex]\frac{-6-(-6)}{3-(-7)} =0[/tex]

The slope is 0. (It is a horizontal line.)

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.

so,

the opposite angle of x is

180 - 90 - 44 = 46 degrees.

x/sin(46) = 6/sin(90) = 6

x = 6×sin(46) = 4.316038802...

rounded x = 4.3

Answer:

2

Step-by-step explanation:

when you add -6 and 8 you'll get 2

Answer:

-2.......................

Answer:

v = 12

Step-by-step explanation:

[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross-  multiply )

6v = 8 × 9 = 72 ( divide both sides by 6 )

v = 12

Answer:

v=12

9/v =6/8 (cross - multiply)

6v = 8 x 9 = 72 (divide both sides by 6)

v = 12

Step-by-step explanation:

that's my answer

Answer:

3/7*2 5/6= 17/14 = 1 3/14 ≅ 1.2142857

Step-by-step explanation:

Conversion a mixed number 2 5/6 to a improper fraction: 2 5/6 = 2 5/6 = 2 ·6+ 5/6 = 12 + 5/6 = 17/6 1) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

2) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

3) Write a previous answer (new numerator 17) over the denominator 6.

Two and five-sixths is seventeen sixths Multiple: 3/7 * 17/6 = 3 · 17/7 · 6 = 51/42

= 17 · 3/14 · 3 = 17/14. then you simplify.

I hope this helps

Answer:

I don't see boxes?

Step-by-step explanation:

I do not see any boxes sorry for the inconvenience

Answer:

1.8

Step-by-step explanation:

-2 1/4 x -4/5 = 9/5

= 1 4/5

= 1.8

Answer:

it should be a.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

got it right

Answer:

x = 18 and x = 30

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

90 + x + 4x = 180

90 + 5x = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

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

The 2 angles are corresponding and congruent , then

x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )

2x = x + 30 ( subtract x from both sides )

x = 30

Answer:

1. x=18    2. x=30

Step-by-step explanation:

For 1. the equation would be x+4x =90 as it is a 90 degree angle

So 5x=90 then x = 18

For 2. The 2 angles are the same so we set them equal to each other

x=1/2x+15

2x=x+30

x=30

Answer:

25 times 58

Step-by-step explanation:

guessed

Answer:

[tex]\frac{-3}{16}[/tex]

Step-by-step explanation:

[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]

=> [tex]\frac{-15}{80}[/tex]

=> [tex]\frac{-3}{16}[/tex]

Hoped this helped.

Answer:

9

Hope this helps, have a nice day/night! :D

Answer:

can't be simplified or you can add you get the answer

Answer:

B

Step-by-step explanation:

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052

Answer:

1.-profit

2.-$300

3.-25%

Step-by-step explanation:

1.- 1500-1200=300+

2.-(1)

3.-1200/100= 12

300/12= 25

A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

Learn more about renting here:

https://brainly.com/question/26268428

#SPJ5

Answer:

5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.

Step-by-step explanation:

Answer:

15 very simple

Step-by-step explanation:

im always right

Answer:

104 divided by a 100

1.04

Step-by-step explanation:

it is the same as moving the decimal two places to the left

10 nickels = $0.50

10 dimes = $1.00

So- 10 nickels + 10 dimes = $1.50

Answer:

Step-by-step explanation:

- 2x > 17

x < 17 ÷ ( - 2 )

x < - 8.5

x ∈ ( - ∞ , - 8.5 )

The greatest integer that satisfies the inequality is ( - 9 )