1. y = 3x - 7
y = 4x - 14

Solve each system of equations by substitution

Answer:

A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:
I just took the test

Answer:

Step-by-step explanation:

The length of the diagonal BC is equal to 18.47in

Data;

   m∠ABD = 30°

   BC = ?

   AC = 16 in

Length BC

Since the length of AC = 16in and angle m∠ABD = 30°, let us consider that the edges form a right angle triangle.

We can use trigonometric ratio to find the length BC since it is the length of the diagonal.

Since we have the value of opposite and angle, we can find the hypothenuse using sine angle.

The length of the diagonal BC is equal to 18.47in

Answer:

Step-by-step explanation:

PS:Can you please mark me brainly? It would mean the world to me.

Given :

To Find :

⠀

Solution :

We know that,

[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]

Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.

⠀

Now, Substituting the given values in the formula :

[tex]\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2(6x)= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{12x= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{60}{12} }}[/tex]

[tex]\qquad \dashrightarrow{ \bf{x= 5}}[/tex]

Therefore,

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 3x \: = 3(5) = 15 \: inches}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:[/tex]

Answer:

...

Step-by-step explanation:

Answer:

There is no model therefore the equation does not represent the model below

Step-by-step explanation:

Hope this helps mark brainliest please ;)

Answer:

1.26 grams

Step-by-step explanation:

18 g * 0.07 = 1.26 g

Answer:

See below

Step-by-step explanation:

(a) 4x - 22 = 74

(b) [tex] \dfrac{74 + 22}{4} [/tex]

(c) 24

Answer:Let x = length of the plot (in meters).

Then the two lengths use up 2x meters of the fencing,

. . . leaving 100 - 2x meters for the two widths.

This means each width is (100 - 2x)/2 = 50 - x meters.

The area of a rectangle is: Length x Width

. . . so we have: . A .= .x(50 - x)

We have a <u>parabola</u>: . A .= .- x² + 50x</sup>

We know that this parabola opens down (don't we?)

. . . so its vertex must be the highest point.

We're expected to know that the vertex is at: . x = -b/2a

For this problem, a = -1, b = 50, so we have: . x = -50/(2(-1) = 25

We have maximum A when x = 25.

This leaves 50 - x = 25 for the width.

Therefore, for maximum area, make the plot a 25-by-25 square.

Step-by-step explanation:

Answer:

1250 units squared

Step-by-step explanation:

if you're allowed to use a calculator;

Answer:

3

Step-by-step explanation:

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Ratio of $1.50 to $1.20

=[tex]\frac{1.50}{1.20}[/tex]=[tex]\frac{1.5}{1.2}[/tex]=[tex]\frac{15}{12}[/tex]=[tex]\frac{5}{4}[/tex]

Ratio will be [tex]\frac{5}{4}[/tex]

Answer:

The black colour will absorb the light.

Answer:

Step-by-step explanation:

cosB = a/c = 4/5

so c = 5a/4 = 5*90/4 = 112.5

b² = c² - a² = 112.5² - 90² = 4556.25

b = 67.5

Step-by-step explanation:

Volume of cube = 6 × 6 × 6 cm³

= 216 cm³

Answer:

Answer:

[tex]\sf g = 13.18 \ units[/tex]

explanation:

the "g" refers to the opposite side of angle G

First solve for angle E:

E + 60° + 45° = 180°

E = 180° - 105°

E = 75°

Then using sine rule:

[tex]\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}[/tex]

[tex]\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}[/tex]

[tex]\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g[/tex]

[tex]\rightarrow \sf g = 13.18 \ units[/tex]

Answer:

$7,185 see below ↓

explanation:

With median, it is about the number that appears the most, and since the closest it gets is between $7,071 and $7,195, we have to pick the number that averages in-between which in this case is 7,185.

Below, this ↓ array proves the logic.

[tex]\left[\begin{array}{ccc}7195&7185&7071\end{array}\right][/tex]

Hope it helps ~

Answer:

x=24

Step-by-step explanation:

i cant quite explain how i did it

the answers circle with circle with hat with circle

Answer:

x = 2

Step-by-step explanation:

What is needed to solve this equation is a common denominator. With a common denominator, you can get rid of subtracted fractions.

First, factor the denominator on the left side of the equation:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3} - \frac{1}{x-2}[/tex]

Then, create a common denominator on the right:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3}(\frac{x-2}{x-2}) - \frac{1}{x-2}(\frac{x+3}{x+3})[/tex]

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)}[/tex]

Put everything on one side:

[tex]0 = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)} - \frac{3}{(x + 3)(x - 2)}[/tex]

[tex]0 = \frac{2(x - 2) - 1(x + 3) - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{2x - 4 - x - 3 - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{x - 10}{(x+3)(x-2)}[/tex]

set each term equal to zero:

x - 10 = 0

x = 10

x + 3 = 0

x = -3

x - 2 = 0

x = 2 is the answer, since it is the only answer which is listed in the multiple choice question.

Answer:

$40

Step-by-step explanation:

30% = .30

$12/0.30 = 40

[RevyBreeze]

[tex][Hello,BrainlyUser][/tex]

Answer:

$40

Step-by-step explanation:

Original Price = P

30% = .30 or .3

30% of P = 12

.3P = 12

P =12/.3 = $40

~[CloudBreeze]~

[tex]\tt V=\dfrac{1}{3}\times base~area\times height\\\\V=\dfrac{1}{3}\times 8^2\times 12\\\\V=256~cm^3[/tex]

Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 95 from both sides.

Step 3: Divide both sides by 5.

Step 4: Check if solution is correct.

Thus, x = 17.

Answer:

b. 1296 in^2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying width and length:

The length of the QRST is 144 since its width is given as 8 to find the length:

144/8 = 18 is the length of the QRST

it is stated that the two rectangles are similar so their widths and lengths are proportional.

Let x represent the width of WXYZ:

8/24 = 18/x cross multiply expressions

8x = 432 divide both sides by 8

x = 54 now we can calculate area of WXYZ

24*54 = 1296

Answer:

do the cube root of 216

the answer is 6

because 6 * 6 * 6= 216

Answer:

2

Step-by-step explanation:

$52 7books $6 CB which means she brought 2 which is $12$8 TB and then 7-2 because he already brought 2 CB so that means that he brought 5TB which is 40 Then add 40 +12 = $52 for 7 books 

cookbooks be x

travel books be y

(1)×2

Subtract (3) from (1)

Now

The mean of the normal distribution, using the formula for the z-score, considering the given data, is of 86.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.6 = \frac{78 - \mu}{5}[/tex]

[tex]78 - \mu = -1.6(5)[/tex]

[tex]\mu = 86[/tex]

More can be learned about the normal distribution at https://brainly.com/question/24663213

Parallel lines don't have any solutions since they never intersect

Answer:

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.