A long-sleeve shirt has 8 front buttons and 2 cuff buttons; a short-sleeve shirt has 6 front buttons and no cuff buttons. The factory which makes ‘Slimboy Shirts’ uses 10 times as many front buttons as cuff buttons. What is the ratio of long-sleeve shirts to short-sleeve shirts produced by the factory?

Leave your ratio in its simplest form.

Answer:

x=12; y=138.

Step-by-step explanation:

1. 4x+(3x+6)=90 - to calculate 'x';

3x+6+y=180 - then to calculate 'y';

2. 7x+6=90; ⇒ x=12;

3. 3*12+6+y=180; ⇒ y=138°.

A

Step-by-step explanation:

just trust me that is the correct answer

Answer: the daughters got 216 stickers each

Step-by-step explanation:

27 times 24 is 648

648 devided by 3 is 216

so therefore your answer would be 216

hope this helps

Answer:

Glee

Step-by-step explanation:

Answer:

2x^2/3

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

-1728 y'all i do by using calculator and it is correct

Answer:

its -1728

Step-by-step explanation:

i worked it out right.

Answer:

No

Step-by-step explanation:

Substitute the values for their respective variable and evaluate.

[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]

Therefore, (2, 1) is not a solution to the equation y = 2x - 1.

(2, 1) is in the form of (x, y).

Then,

☆ x = 2

☆ y = 1

Equation =》y = 2x - 1

Now, substitute the values.....

=》y = 2x - 1

=》(1) = 2(2) - 1

=》1 = 4 - 1

=》 1 ≠ 3

So, (2, 1) is NOT a solution to the equation y = 2x - 1.

______

Hope it helps ⚜

Answer:

(-3,0)

Step by step explanation:

make x the subject of the formula in equation 2

x-3y=-3

x = 3+3y

substitute x in equation 1

5(3+3y)-3y = -15

open the brackets

15+15y-3y = -15

15+12y=-15

12y = 15-15

12y = 0

divide both sides by 12

y = 0

substitute y in equation 2

x - 3(0) = -3

x - 0 = -3

x = -3+0

x = -3

therefore x = -3

y = 0

Answer:

Step-by-step explanation:

f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3

Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

Answer:

A.  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

sin 30°

Step 2: Solve

Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.

Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.

Substituting it into sin, we have:

sin 30° = 1/2 = 0.5

∴ our answer is A.

Answer:

Step-by-step explanation:

x⁴ + x² - 20

(x² + 5)(x² - 4)

(x² + 5)(x - 2)(x + 2)

The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

Given that,
To determine the factor of the expression, x⁴ + x² - 20.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)

Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ5

Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

^

Step-by-step explanation:

The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.

Answer:

I think it is 20 percent

Step-by-step explanation:

Sorry if this is wrong

Answer:

x=4, y=9/7

Step-by-step explanation:

We will use the property that the opposite sides of a rectangle are equal

3(3y-1)=2(y+3)

9y-3=2y+6

7y=9

y=9/7

2x=4(x-2)

2x=4x-8

2x=8

x=4

Answer: B

Step-by-step explanation:

2/3 means 1.5

[tex]y = -\frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]

With this value of the slope, we can write the general slope-intercept form of the equation as

[tex]y = -\frac{1}{2}x + b[/tex]

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]

Therefore, the slope-intercept form of the equation is

[tex]y = -\frac{1}{2}x - 1[/tex]

Answer:

10km/h

Step-by-step explanation:

speed = distance/time

s = 150/5

s = 30km/h

the total must be 30km/hr

less the 20km/hr that Jerry is going

is the speed Susan must go in the opposite direction

30 - 20 = 10

10km/h

the answer is 90 hope this help.

Answer:

The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.

Answer:

Step-by-step explanation:

(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4

= 4a^2b^4 + 12ab^2c^2 + 9c^4

Answer:

E=10.353

Step-by-step explanation:

First plug in all the numbers: 1.960(31.25/[tex]\sqrt{35}[/tex])

solve: E=10.353

Answer:

  State A loses a seat to State B when the total is increased

Step-by-step explanation:

The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.

The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).

If the whole number is 1 or greater, the number of seats allocated at least that whole number.

If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.

__

The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.

When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.

_____

Additional comment

Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.

Answer:

Infinite.

Step-by-step explanation:

[tex]-17+2(1+3x)=x-5(3-x)[/tex]

Expand:

[tex]-17+2+6x=x-15+5x[/tex]

[tex]6x+15=6x+15[/tex]

[tex]6x=6x[/tex]

[tex]0=0[/tex]

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

Answer:

(x^2-6)^2

Step-by-step explanation:

Answer:

(x2-6)^2

Step-by-step explanation:

I think that's the answer not sure

Answer:

[tex]\frac{p^2-25}{p^2-10p+25}[/tex]

We can factorise the numerator with the difference of squares formula:[tex]x^2-y^2=(x+y)(x-y)[/tex]

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

[tex]\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}[/tex]

Now we can factorise the denominator:

[tex]\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}[/tex]

[tex]\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}[/tex]

Cancel out the common factor of (p-5):

[tex]\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}[/tex]