solve for x y=7x+5
y = 9x+4

Answer:

A

Step-by-step explanation:

Area of rectangle  = length x width

length = 5x - 2

width = x

area = (5x - 2) × x

100 = 5x² - 2x

the width would be less than the area of the rectangle, thus the inequality sign to be used is <

5x² - 2x < 100

Answer:

222 yds^3

Step-by-step explanation:

First find the volume of the back rectangular prism

V = l*w*h = 9* 6*3 =162

Then find the volume of the front rectangular prism

V = 5*4*3 = 60

Add them together

V total = 162+60 =222 yds^3

Answer:

well, we only no that

2l + 2w is 80

(lengths and widths on all 4 sides

and that w * l is A

so the function should be w times what's left for l, but also expressed by something with w

2l + 2w = 80 | -2w

2l = 80 -2w | devide by 2

l = 80 - w

now we can substitute l in

A = w * l

so that we only need w's

A(w) = w * (80-w)

for any w it will give us the area, makes only sense for 0<w<80

Answer:

B

Step-by-step explanation:

0.3 is weakest

Answer:

[tex]AB = 21.3[/tex]

Step-by-step explanation:

Given

[tex]\sin(25) = \frac{9}{c}[/tex]

See attachment

Required

Find AB

We have:

[tex]\sin(25) = \frac{9}{c}[/tex]

Make c the subject

[tex]c = \frac{9}{\sin(25)}[/tex]

[tex]c = 21.3[/tex]

From the attached triangle;

[tex]AB = c = 21.3[/tex]

Hence:

[tex]AB = 21.3[/tex]

9514 1404 393

Answer:

  (x, y) = (59/45, 11/15) ≈ (1.311, 0.733)

Step-by-step explanation:

A graphing calculator shows us the solution is not integer values, so we may find it easiest to solve these equations using the "cross-multiplication method."

Writing the equations in general form, we have ...

  3x -4y -1 = 0

  6x +7y -13 = 0

Then we can form an array of the coefficients, repeating the first column:

  [tex]\begin{array}{cccc}3&-4&-1&3\\6&7&-13&6\end{array}[/tex]

Forming differences of cross products involving adjacent pairs of columns gives ...

  d1 = (3)(7) -(6)(-4) = 45

  d2 = (-4)(-13) -(7)(-1) = 59

  d3 = (-1)(6) -(-13)(3) = 33

Then the solutions are found from ...

  1/d1 = x/d2 = y/d3

or

  x = d2/d1 = 59/45

  y = d3/d1 = 33/45 = 11/15

The solution is (x, y) = (59/45, 11/15) ≈ (1.311, 0.733).

_____

Additional comment

This takes longer to explain than to do. One reason we like it is that the number of math operations is slightly smaller than the number of math operations required for substitution or elimination. It is especially nice when the solution is not a pair of integers.

Answer:

Second one

Step-by-step explanation:

Integers are any whole numbers ( can be negative or positive )

The only answer choice that contains only whole numbers is the second one

Answer:

18.0

Step-by-step explanation:

The three lines form a right triangle where 10 and 15 are the two legs of the triangle. You can use the pythagorean theorem to solve for the length of x.

x = [tex]\sqrt{15^{2} + 10^{2} }[/tex]

x = 18.028 (approximately 18)

Answer:

1/2 or 50% or .5

Step-by-step explanation:

She hits at .500 that's pretty good. I'd take her on my fantasy team.

This is the same as 7.5pi

============================================================

Explanation:

Refer to the previous post I answered a while back. It's a similar problem, just with different numbers.

Instead of following that exact route, I'll use a more direct route this time. I'll use the formula below

S = (x/360)*pi*r^2

where S is the area of the sector (aka pizza slice), x is the angle of the sector, and r is the radius.

Notice the x/360 portion represents taking a fractional part of the full circle area pi*r^2

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

Plugging in the given values leads us to...

S = (x/360)*pi*r^2

S = (108/360)*pi*5^2

S = (3/10)*pi*25

S = (3/10)*25*pi

S = 75pi/10

S = 15pi/2

This is the same as 7.5pi because 75/10 = 15/2 = 7.5

I'll leave it as a fraction since the previous answer I wrote was in fraction form.

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

Side note: if the angle x is in radian mode, then you'll use this formula

S = (x/2)*r^2

Answer:

7.5π square meters

Step-by-step explanation:

The formula for the area of a sector (when angle is given in degrees) is: [tex]A=\frac{\theta}{360}\pi r^{2}[/tex]

Where r is the radius, and [tex]\theta[/tex] is the angle of the sector in degrees.

We are given the information that the radius = 5m, and [tex]\theta[/tex] = 108 degrees. So now we can just substitute these values into the equation to solve for A:

[tex]A=\frac{108}{360}\pi 5^{2}\\\\A=0.3\pi * 25\\A = 7.5\pi[/tex]

(OR approx. 23.56 square meters)

Hope this helped!

Answer:

v=9

Step-by-step explanation:

Given the right triangle is a 30-60-90 triangle, we can simply make the equation v√3=9√3 since the longest side of a 30-60-90 triangle is √3 times as big as its short side. Therefore, v=9.

Step-by-step explanation:

hope the picture above help u to understand:)

I-moom equation is 12x+3

I-toons equation is 10x+9

Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.

Answer:

A

radius is 11

diameter is 22

B

radius is 15

diameter is 30

C

radius is 13

diameter is 26

D

radius is 7

diameter is 14

Answer:

Step-by-step explana

1- R == 11

D=2R = 22

2-D =30

R= 0.6D = 15

3- D = 26

R= 0.5D= 13

4 - R= 7

D= 2R = 14

Answer:

m∠RUT=1/2 m∠RST

=1/2(68)

=34°

m∠RUT=34°

the answer is C, hope this helps.

Answer:

BELOW

Step-by-step explanation:

(Y, X)

Y=-1

X=1

*** ACCORDING TO MY SOLUTION THE ANSWER IS (-1,1)

Answer:

$1096

Step-by-step explanation:

If Johnny Bravo bought Amazon 25 shares at $50, the cost price is expressed as;

Cost price of 25shares = 25 * 50

Cost price of 25shares = $1,250

If he sold them at $2346 a few years later

Profit = Selling price - Cost price

Profit made = 2346 - 1250

Profit made = $1096

Answer:

pythagorean theorem

18

Step-by-step explanation:

Answer:

R=3K/P

Step-by-step explanation:

P=3K/R

RP=3K

RP/P=3K/P

R=3K/P

Answer:

Step-by-step explanation:

x-3=0mod 4 means

if x-3 is divided by 4 ,remainder is zero.

[tex]\frac{x-3}{4} =m(say)\\x-3=4m\\x=4m+3[/tex]

where m is an integer.

Answer:

16 pages

Step-by-step explanation:

1 hour= 2 pages written of notes

so 8 hours of notes = 8x2=16 pages

12 + 8 = 20 , 20 + 8 = 28 , 28 + 8 = 36

5 + 8 = 13 , 13 + 8 = 21 , 21 + 8 = 29

Answer:

29

Step-by-step explanation:

The sequence of values

5 , 13, 21 , ?

The values are increasing by 8 so missing value is

? = 21 + 8 = 29

Answer:

r = 3 in

Step-by-step explanation:

The volume (V) of a sphere is calculate as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here V = 36π , then

[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )

4πr³ = 108π ( divide both sides by 4π )

r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )

r = [tex]\sqrt[3]{27}[/tex] = 3

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11