7x + 3y = 8
6x – 3y = 5
For the solution (x,y) to the system of equations
above, what is the value of x - y ?

Step-by-step explanation:

The formula is given by :

[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]

We have,

m = 19° and d = 9 cm

So,

[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]

Hence, this is the required soltion.

Answer:

C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 100[/tex]

Because of the claim of the farmer.

The alternate hypothesis is:

[tex]H_{1} \neq 100[/tex]

The alternate hypothesis tests the farmer's claim at a significance level.

The results are calculated to be statistically significant at the 0.01 level.

This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.

Answer:

12 cats or B

Step-by-step explanation:

Because there are 3 more dogs than cats and if there is 2 cats for every 5 dogs, 5x6=30 so 2x6=12.

Answer:

10 and -5

Step-by-step explanation:

x + y = 5

xy = -50

y = 5 - x

x(5-x) = -50

5x - x^2 = -50

x^2 - 5x - 50 = 0

from there on we can solve the classic way

[tex]\Delta = (-5)^2 - 4\cdot1\cdot(-50) = 25 + 200 = 225\\\sqrt{\Delta} = 15\\x_1 = \frac{5 - 15}{2} = -5\\x_2 = \frac{5+15}{2} = 10\\y_1 = 5 - x_1 = 10\\y_2 = 5 - x_2 = -5[/tex]

Everything checks out.

Answer:

-5 × 10 = -50

-5 + 10 = 5

brainliest

-2(5x-8)

-10x+16

So A.

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hope it helps

Answer:

a. Ratio of their circumference = 2:3

b. The ratio of their surface areas = 2:3

c. The ratio of their volume = 4:9

Step-by-step explanation:

Let the cylinders be labelled as A and B respectively.

Diameter of cylinder A = 6 in,

its radius = [tex]\frac{diameter}{2}[/tex]

                = [tex]\frac{6}{2}[/tex] = 3 in

Diameter of cylinder B = 9 in,

its radius = [tex]\frac{diameter}{2}[/tex]

               = [tex]\frac{9}{2}[/tex]  = 4.5 in

Thus,

a. circumference of a circle = 2[tex]\pi[/tex]r

Circumference of cylinder A = 2[tex]\pi[/tex]r

                                               = 2 x [tex]\pi[/tex] x 3

                                            = 6[tex]\pi[/tex] in

Circumference of cylinder B = 2[tex]\pi[/tex]r

                                              = 2 x [tex]\pi[/tex] x 4.5

                                              = 9[tex]\pi[/tex]

Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]

                                               = [tex]\frac{6\pi }{9\pi }[/tex]

                                               = 2:3

b. The surface area of a cylinder = 2[tex]\pi[/tex]rh

the surface area of cylinder A = 2[tex]\pi[/tex]rh

                                                  = 6[tex]\pi[/tex]h

the surface area of cylinder B = 2[tex]\pi[/tex]rh

                                                = 9[tex]\pi[/tex]h

The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]

                                                 = [tex]\frac{6\pi h}{9\pi h}[/tex]

                                                 = 2:3

c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                = [tex]\pi[/tex] x [tex]3^{2}[/tex] x h

                                = 9[tex]\pi[/tex]h

volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                    = [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h

                                    = 20.25[tex]\pi[/tex]h

The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]

                                         = [tex]\frac{9\pi h}{20.25\pi h}[/tex]

                                         = 4:9

d=6in,9in

r=3in,4.5in

circumference:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

LSA:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

TSA

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]

[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]

[tex]\\ \sf\longmapsto 7:15[/tex]

Volume:-

[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]

[tex]\\ \sf\longmapsto 4:9[/tex]

The solution for y in the equation 48/y = 12 is y = 4 .

To solve for y in the equation 48/y = 12, we can multiply both sides of the equation by y to eliminate the denominator:

48/y * y = 12 * y

On the left side, the y in the denominator cancels out:

48 = 12 * y

Next, divide both sides of the equation by 12 to isolate y :

48/12 = y

Simplifying, we get:

4 = y

Therefore, the solution for y in the equation 48/y = 12 is y = 4 .

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Answer:

[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]

Step-by-step explanation:

1) Use this rule: a/b × c/d = ac/bd.

[tex]4 + 54 + \frac{5x \times {3x}^{2} }{y} - {3x}^{2} [/tex]

2) Take out the constants.

[tex]4+54 + \frac{(5 \times 3) {xx}^{2} }{y} - {3x}^{2} [/tex]

3) Simplify 5 × 3 to 15.

[tex]4 + 54 + \frac{ {15xx}^{2} }{y} - {3x}^{2} [/tex]

4) Use the product rule: x^a x^b = x^a + b.

[tex]4 + 54 + \frac{15xx^{2} }{y} - 3x^{2} [/tex]

5) Simplify 1 + 2 to 3.

[tex]4 + 54 + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]

6) Collect like terms.

[tex](4 + 54) + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]

7) Simplify.

[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]

Therefor, the answer is 58 + 15x³ / y - 3x².

Answer:

B

Step-by-step explanation:

Answer:

B. No , b/c the sides are not congruent

Step-by-step explanation:

A square is a four-sided figure whose sides are all the same length and whose angles are all right angles measuring 90 degrees. To be a square, a shape must be all these things:

A plane figure

A closed shape

A regular polygon

A quadrilateral

Answer:

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Step-by-step explanation:

btw the answer is

(12x+6)

Answer:

C both is the right answer

Answer:

The straight-line distance between the points is approximately 8.6.

Step-by-step explanation:

The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:

[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)

Where:

[tex]x[/tex] - Horizontal distance between the points.

[tex]y[/tex] - Vertical distance between the points.

Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:

[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]

[tex]d \approx 8.6[/tex]

The straight-line distance between the points is approximately 8.6.

Answer:460

Step-by-step explanation:on delta math

The total number of action figures in Genesis's collection will be 460.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.

The obtained expression for the given condition,

=253 / (1-0.45)

=253/0.55

=25300/55

=460

Thus, the total number of action figures in Genesis's collection will be 460.

Learn more about the arithmetic operation here:

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Answer:

d

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

Its the first one.

Step-by-step explanation:

Answer:

Hi and have a great day!

Step-by-step explanation:

Answer:

149.28 m²

Step-by-step explanation:

Bottom and two sides of the rectangle: 3x4x6=72

Two square ends of the rectangle: 2x4x4=32

Two triangular sides of the prism: 2x1/2x2x6=12

Back of prism: 2x4=8

Top of prism: 4x6.32=25.28

72+32+12+8+25.28=149.28

Answer:

68 degrees

Step-by-step explanation:

60-12(12 degrees colder on Tuesday)=58

58+10(10 degrees warmer on Wednesday)=68

Answer:

40%

Step-by-step explanation:

40%

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hope it helps

I don't really know how to explain sorry

Answer:

C. progressive taxation

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

There are three (3) types of taxation used by the government, these are;

1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.

- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.

2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.

- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.

3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.

- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.

Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.

Answer:

y=6x+18 or 72=6x+18

Step-by-step explanation:

18 represents the y intercept as 6x represents the constant variation

Answer:

165 pounds

Step-by-step explanation:

3 times 7 = 21

186 - 21 = 165