Solve the system:
3x+6y=51
y=40-5x

Write down your solution here

Answer:

[tex]c = 65[/tex]

[tex]x = 158[/tex]

Step-by-step explanation:

In the first triangle, one of the angles are already given to us, the 25. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.

[tex]90 + 25 = 115 \\ 180 - 115 = 65[/tex]

In the second triangle, one of the angles are already given to us, the 68. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.

[tex]68 + 90 = 158 \\ 180 - 158 = 22[/tex]

We figured out all the angles inside the triangle.

68, 90, and 22. We need to find the exterior angle. Remmeber that Consecutive angles are supplementary. The 22 and the x are one a straight line. A straight line equals 180 degrees. You are going to subtract 22 from 180 to get your answer.

[tex]180 - 22 = 158[/tex]

If you wanted to write it as an equation and solve it, it would be:

[tex]22 + x = 180[/tex]

Answer:

Result is significant ; hence we can conclude that the average age of male is greater than that of females.

Step-by-step explanation:

Given that:

Let :

u1 = mean age of male

u2 = mean age of female

Null hypothesis : H0 : u1 = u2

Alternative hypothesis : H1 : u1 > u2

P value for hypothesis test conducted = 0.0095

Using a significant level α 0.05 or 0.01, :

The P value < α

Since, the P-value is less than α, then the result is significant and we thus we can reject the Null and conclude that the average age of males is greater Than that of females that play on the golf course.

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]

[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]

[tex]m=\sqrt{\frac{64}{3}}[/tex]

[tex]m=\frac{8}{\sqrt{3}}[/tex]

[tex]m=\frac{8\sqrt{3}}{3}[/tex]

Thus,

Therefore, option D is true.

Answer: 12%

Step-by-step explanation:

Answer: y=−2−4x

Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!

Answer:

2/7 become obese by eating it every day.

Step-by-step explanation:

Answer: 8:15Am

Step-by-step explanation:

Answer:

sqrt65+17

Step-by-step explanation:

a^2+b^2=c^2

a^2+4^2=9^2

a=sqrt65

perimeter = sqrt65+97

Hope this helps plz hit the crown :D

Answer:

2

Step-by-step explanation:

Molly:

20 baskets / 4 minutes = 5 baskets/minute

Nico:

42 baskets / 6 minutes = 7 baskets/minute

7 - 5 = 2

Answer: 2

Answer:

Step-by-step explanation:

Ratio....

M = 20:4

N = 42:6

Slope....

M = 5 shots per minutes

N = 7 shots per minutes

Nico shot 2 more baskets per minute than Molly did

Hope this helped!

Answer:

The three consecutive POSITIVE ODD integers are: 3, 5 and 7

Step-by-step explanation:

If x is an integer, then there consecutive positive odd integers are:

x , x + 2, x + 4 are three consecutive integers.

Where

First integer, a = x

Second integer, b = x + 2

Third integer, c = x + 4

We are told to:

Find three consecutive POSITIVE ODD integers such that when you multiply the first and third the result is nine less than six times the second integer.

Hence, this is represented as:

a × c = 6(b) - 9

Where

a = x

b = x + 2

c = x + 4

x (x + 4 ) = 6(x + 2) - 9

x ² + 4x = 6x + 12 - 9

x² +4x - 6x - 12 + 9= 0

x² - 2x - 3 = 0

Factorising

x² +x - 3x - 3 = 0

x (x + 1) -3(x + 1) = 0

(x - 3) (x + 1) = 0

x - 3 = 0

x = 3

x + 1 = 0

x = -1

Since, x cannot be negative for this question, x = 3

First integer, a = x = 3

Solving for:

Second integer, b = x + 2

b = 3 + 2 = 5

Solving for :

Third integer, c = x + 4

c = 3 + 4 = 7

Therefore, the three consecutive POSITIVE ODD integers are: 3, 5 and 7

Answer:

Step-by-step explanation:

The total number of fives bills is 12 and the total number of tens bills is 18 and this can be determined by forming the linear equations.

Given :

Sarah has 30 bills in her wallet worth $240, all fives and tens.

The following steps can be used in order to determine the total number of fives bill and tens bills:

Step 1 - Let 'x' be the total bills of fives and 'y' be the total bills of tens.

Step 2 - The linear equation that represents the total number of bill is given by:

x + y = 30

x = 30 - y        --- (1)

Step 3 - Now, the linear equation that represents the total amount of the bill is given by:

5x + 10y = 240     ---- (2)

Step 4 - Substitute the value of 'x' in equation (2).

5(30 - y) + 10y = 240

150 - 5y + 10y = 240

5y = 90

y = 18

Step 5 - Substitute the value of 'y' in equation (1).

x = 30 - 18

x = 12

So, the total number of fives bills is 12 and the total number of tens bills is 18.

For more information, refer to the link given below:

https://brainly.com/question/21835898

Answer:

1tan is 10sin

OK OK OK.

follow please

Answer:

12, 16, and 20

Step-by-step explanation:

These are the answers because:

1) Composite numbers mean numbers that are divisible by more than two numbers (1 and itself).

2) Multiples of 4 that are greater than 10 are: 12, 16, and 20 because they are all divisible by more than two numbers, they are greater than 10, and they are mutiples of 4. You can check if they are multiples of 4 by skip counting or multiplying: 4, 8, 12, 16, 20 or 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20.

Therefore, the answers are: 12, 16, and 20

Hope this helps! :D

Answer:

12, 16, 20

Step-by-step explanation:

I answered before but for some reason, my answer was deleted. The other person deserves brainliest though, they gave the best answer.

Hey,

Answer:

2 and -2

Good luck :)

Answer:

The total distance of the outer sides of a closed figure is known as the perimeter. It is the total length of all sides of a polygon. Perimeter = Sum of all sides.

Formula:

The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n. The measure of exterior angles of a regular n-sided polygon = 360°/n.

Step-by-step explanation:

hope it helps...mark me as a brainlist

Answer:

B

Step-by-step explanation:

I think its B

Hope this helps!

Answer:

1500

Step-by-step explanation:

just took the test

Your total monthly payment would be; 1,500 dollars.

Monthly Rent means the monthly installments of the Annual Minimum Rent and the estimated annual utility bills payable by the Lessee under this Rental Agreement.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We are given that  You have a gross lease of $1,000 per month. Also, Taxes and maintenance total $500 per month.

we need to calculate the your total rent payment.

Therefore, we know that;

Rent= base payment + percent of revenue

       = 1,000 + 500

       = 1500

Hence, we can conclude that the monthly rent should be 1500 dollar.

Learn more about rent here:

brainly.com/question/10132345

#SPJ6

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = [tex]\sqrt{1+1+16} = \sqrt{18}[/tex]

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=[tex]\sqrt{9+9} =\sqrt{18}[/tex]

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = [tex]\sqrt{16+4+16} =\sqrt{36} =4[/tex]

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



Answer:

Step-by-step explanation:

8x-192=96

8x-192+192=96+192

8x=288

8x/8=288/8

x=288/8

36

The unknown number is 204.

Important Information:

Let [tex]x[/tex] be the unknown number.

Sum of a number and -192 is

[tex](x+(-192))=x-192[/tex]

Eight times the sum of a number and -192 gives 96.

[tex]8(x-192)=96[/tex]

Divide both sides by 8.

[tex]x-192=12[/tex]

[tex]x=12+192[/tex]

[tex]x=204[/tex]

Therefore, the unknown number is 204.

Find out more about 'Linear equation' here:

https://brainly.com/question/16848738

Answer:

y = -x + 6

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = -1

y-intercept b = 6

Step 2: Write Equation

Substitute in variables into the general form

y = -1x + 6

y = -x + 6

Answer is :

y = -x + 6!!!!

Step-by-step explanation:

Answer:

27.883

Step-by-step explanation:

75.847

-47.964

27.883

Answer:

Step-by-step explanation:

1). 10 = [tex]\frac{1+7x}{7+x}[/tex]

   10(7 + x) = 1 + 7x

   70 + 10x = 7x + 1

   10x - 7x = 1 - 70

   3x = -69

   x = -23

2). 0.2 = [tex]\frac{6+2x}{12+x}[/tex]

    0.2(12 + x) = 6 + 2x

    2.4 + 0.2x = 6 + 2x

    2.4 - 6 = 2x - 0.2x

    1.8x = -3.6

    x = -2

3). 0.8 = [tex]\frac{x}{x+0.5}[/tex]

    0.8(x + 0.5) = x

    0.8x + 0.4 = x

    x - 0.8x = 0.4

    0.2x = 0.4

    x = 2

4). 3.5 = [tex]\frac{4+2x}{0.5-x}[/tex]

    3.5(0.5 - x) = 4 + 2x

    1.75 - 3.5x = 4 + 2x

    -3.5x - 2x = 4 - 1.75

    -5.5x = 2.25

     x = -[tex]\frac{2.25}{5.5}[/tex]

     x = - [tex]\frac{9}{22}[/tex]

Answer:

Step-by-step explanation:

5x + 10 - 3x = 2x - 10

2x + 10 = 2x - 10

0x = -20

no solution

Answer: -12/91

Step-by-step explanation:

6/7 ×-2/13=-12/91

Answer:

When 6514 is divided by 214, it equals approximately 30.4. So Daniel will have filled 30 smaller bags.

Answer:

15 cats

proportion 3x : 5x

in this case x= 5

Step-by-step explanation:

divide 25 by 5

=5

now you know the factor is 5

multiple 3 by 5

=15

Answer:

3.43ft

Step-by-step explanation:

Step one:

given data

the expression for the area is

A = πr²

make r subject of the formula

divide both sides by π

A/π =r²

square root both sides

r=√A/π

step two:

given that  A= 37 ft^2

r= √37/3.142

r=√11.77

r=3.43ft

Answer: first one

Step-by-step explanation:

Answer:

First one

Step-by-step explanation: