Solve the proportion

Answer:

A = 5.99x + 475

Step-by-step explanation:

In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial because it is not reducible or does not have factors.

Given polynomials are:

[tex]1)x^4+3x^2-x^2-3\\\\2)x^4-3x^2-x^2+3\\\\3)3x^2+x-6x-2\\\\4)3x^2+x-6x+3[/tex]

A polynomial not having more than one factor is called a prime polynomial.

Factors of the first polynomial are [tex](x^2-1),(x^2+3)[/tex]

Factors of the second polynomial are [tex](x^2-1),(x^2-3)[/tex]

Factors of the third polynomial are [tex](x-2) (3x+1)[/tex]

There are no factors of the fourth polynomial so this is a prime polynomial.

Therefore, the polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial.

To get more about the polynomial visit:

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Step-by-step explanation:

Rational number because it's terminating

Answer:

I dont see options, but the answer should be: X(2+5)≤40

Step-by-step explanation:

Answer:

2/10

Step-by-step explanation:

Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.

Have an amazing day!

PLEASE RATE!!!

Answer:

0.83km/h

Step-by-step explanation:

v (velocity/speed) = d (distance)/t (time)

v = 5km/6h

v = 0.83km/h

Answer:

72 +6+2 equal80

Step-by-step explanation:

have to pluse all

Answer

-3/5

Step-by-step explanation:

to find this you have to use the equation y1 - y2 / x1 - x2

so first write -3 - 0 (or 0 - - 3) over 6 - 1

it looks like -3/5

Answer:

6°F

Step-by-step explanation:

First, subtract 46 from 94 (94-46) and you will get 48.

Then, divide 48÷8 (because the time period is 8 days) and you will get 6.

Therefore, the daily temperature change is 6°F.

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

[tex]Sin(30)=\cfrac{y}{6\sqrt{3} }[/tex]

[tex]\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}y=9[/tex]

[tex]\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}[/tex]

[tex]y=3\sqrt{3}[/tex]

~

[tex]Cos(30)=\cfrac{x}{6\sqrt{3} }[/tex]

[tex]\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}x=9\sqrt{3}[/tex]

[tex]\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x=9[/tex]

Therefore, x=9 and y=3√(3)

~

The length of the longer side of the rectangle is 8.78cm

The formula for calculating the area of a rectangle is expressed as:

A = lw

For a semicircle;

A = πr²/2

r is the radius

Area of the figure = lw + πr²/2

Substitute the given paramters

41.4 = 4w +  π(2)²/2

41.4 = 4w + 6.28
4w = 41.4 - 6.28

4w = 35.12

w = 35.12/4

w=  8.78 cm

Hence the length of the longer side of the rectangle is 8.78cm

Learn more on area of composite figure here: https://brainly.com/question/21135654

Answer:

  41°

Step-by-step explanation:

This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.

  -1125 = -1500·cos(A)

  cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)

  A = arccos(3/4) ≈ 41.4096°

The angle formed by the lines to the lampposts is about 41°.

__

Additional comment

If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.

In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.

Answer:

y=-3

Step-by-step explanation:

5(y+2/5)=-13

5y+2=-13

5y=-15

y=-3

Answer:

the mean is the average of a set of data the mode is the most frequent number that occurs in a set of data, and the median is the number in the middle of the set of data

Step-by-step explanation:

459.6 - 150 = 309.6

309.6 / 12 = $25.80 a month for 12 months

Answer: Rs. 6075

40500×(15/100)= 6075

Step-by-step explanation:

As no diagrams attached provided the formulas which can helps you to solve by yourself

The expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

The formula for calculating the perimeter of a rectangle is given as

P = 2(x+ y)

where;

x = 3x + 2

y = x + 5

Substitute

P = 2(3x + 2 + x + 5)

P = 2(4x + 7)
P = 8x + 14

Hence the expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

#SPJ6

Answer:

x=2

Step-by-step explanation:

5x+3=x+11

5(2)+3=2+11

10+3 = 2+11

13=13

Therefore, x=2

(basically you just plug in random numbers and see if it gets you the same answer on both sides)

Hope this helps!!

Answer:

800

Step-by-step explanation:

When we say estimate, we must estimate the 2 numbers to their closest answer:

398- 400 when rounded to the nearest 100

1.9- 2 when rounded to the nearest whole number

So we get the estimate equation as: 400×2= 800

Solution:

We know that:

This means that:

Simplifying "400 x 2"

Thus, the estimate of 398 x 1.9 is about 800.

Step-by-step explanation:

no calculator or Excel sheet ?

(4×(4 + 3)) - 3 = (4×7) - 3 = 28 - 3 = 25

((7 - 5) ÷ 1/2) × 2 = (2 ÷ 1/2) × 2 = (2 × 2) × 2 = 4×2 = 8

(5.4 + 3) × (6 - 2) = 8.4 × 4 = 33.6

(9 ÷ 3 + 6) × 3 = (3 + 6) × 3 = 9×3 = 27

(4 + 3.2) × ((9 - 2) + 2.5) = 7.2 × (7 + 2.5) = 7.2 × 9.5 = 68.4

remember 2 things :

1. first priority for the sequence of operations is defined by brackets. second priority are multiplication and division (both are on the same level, and you can do them either way). and only third priority is addition and subtraction (they come last, and if you keep the "-" signs with the numbers, you can do them also in any sequence among each other : a - b = -b + a).

2. when you divide by a fraction, then this is the same as multiplying with the upside-down version of that fraction.

a / 1/b = a × b/1 = a × b

Answer:

1.) -4x+30y 2.) distributive property 3.) -4x+30y, (-0.4(3)+3(2)), 10(-1,2)+10(6), -12+60, =48

Step-by-step explanation:

10(-0.4x+3y)= 10(-0.4x)+10(3y)= -4x+30y

10(-0.4(3)+3(2))

10(-0.4(3))+10(3(2))

10(-1.2)+10(6)

-12+60

= 48

Answer:

I think the answer is "A"

Answer:

46% of 115 gives 52.9 because it is the total of books that is not given

Answer:

1/3

Step-by-step explanation:

The probability that a number greater than 2 is rolled is 4/6 {2, 3, 4 and 6} The probability that the coin lands on heads is 1/2

You can multiply 1/2 and 4/6 to find out the total number of possible outcomes: 1/2 × 4/6 = 4/12. This can be simplified to 1/3.

Hope this helps!

Answer:

8

Step-by-step explanation:

Answer: x=-1

Step-by-step explanation:

Answer:

x is given as -1.5. Substitute to confirm

Answer:

32

Step-by-step explanation:

=> 4s[tex]{}^{3} [/tex]

=> 4(2)[tex]{}^{3} [/tex]

=> 4(2×2×2)

=> 4(8)

=> 32