0. REINFORCE The sum of two numbers is 20. The difference between the same numbers is 48. Write this system of equations and then solve it by graphing. Be sure to sketch your graph as well as give the solution.​

For this problem you will need to use the quadratic formula. [tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] (the + and - are together. basically the plus is on top and the minus is on bottom. you should have seen it in your notes hopefully). a = 1, b = 8, and c = 10. from there you just plug everything in and solve.

Answer:

8.3

Step-by-step explanation:

Use the pythagorean theorem: a2 + b2 = c2 a2 would be 24.1 and c2 would be 25.5. square them then subtract a2 from b2. then find the square root of your answer which is 8.3

Answer:

Danton vendeu 310 instrumentos musicais.

Step-by-step explanation:

Selton vendeu 62 instrumentos esse mês.

Danton:

Quintuplo do que seu irmão Selton, ou seja:

62*5 = 310.

Danton vendeu 310 instrumentos musicais.

Answer:

3

Step-by-step explanation:

11g - 9k + 3

Let g = 9 and k =11

11 * 9 - 9*11 +3

Multiply

99 - 99 +3

Add

3

Answer:

3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

11g - 9k + 3

g = 9

k = 11

Step 2: Evaluate

Answer:

X = -2

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Due to the equation [tex]y = mx+c[/tex],

y = y

mx = [tex]\frac{2}{5}x[/tex]

c = -7

Hence, from 'mx',

m = 2/5

Hence, the slope is 2/5

Feel free to mark it as brainliest :D

Answer:

slope is

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

Answer:

Put x's on the numbers on the line that are above the line

Step-by-step explanation:

I BELIVE IN YOU

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]

Answer:

78,125

Step-by-step explanation:

5 × 5 × 5 × 5 × 5 × 5 × 5 = 78125

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Have a good day :)

9514 1404 393

Answer:

  (3/2)√2 ≈ 2.1213 units

Step-by-step explanation:

The distance d from point (x, y) to line ax+by+c = 0 is given by ...

  d = |ax +by +c|/√(a^2 +b^2)

We can write the equation of the line as ...

  x + y -4 = 0

so the distance is ...

  d = |x + y - 4|/√(1^2 +1^2)

For point (x, y) = (2, -1), the distance is ...

  d = |2 +(-1) -4|/√2 = 3/√2 = (3√2)/2

The distance from A(2, -1) to the line y = -x +4 is (3√2)/2 units.

Answer:

a) 40 caramelos

b) 13 bolas

Step-by-step explanation:

A) En cada caja hay 5 caramelos. Si tengo 8 cajas, ¿cuántos caramelos tengo?

1 caja = 5 caramelos

8 cajas = x

Multiplicar cruzada

x × 1 caja = 8 cajas × 5 caramelos

x = 8 cajas × 5 caramelos / 1 caja

x = 40 caramelos

b) Romina tiene 9 bolas y Lidia 4 veces más que ella. ¿Cuántas bolas tiene Lidia?

Romina = 9 bolas

Lidia = 4 bolas más que ella

Lidia = 9 bolas + 4 bolas

= 13 bolas

Answer:

160 cm i think

Step-by-step explanation:

Answer:

18.0625 ft²

Step-by-step explanation:

4.25 × 4.25

18.0625 ft²

Answer:

48

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

4x+7=23

4x=23-7

4x=16

x=16÷4

x=4

Answer:

4

Step-by-step explanation:

4 x 4 + 7 = 23

The length of a chord which is 24cm from the Centre is: 14 cm

Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:

R = √[(30/2)² + 20²]

R = √(15² + 20²)

R = √625

R = 25 cm

The length L of the another chord is calculated as:

L/2 = √(R² - 24²)

L/2 = √(25² - 24²)

L/2 = √49

L/2 = 7

L = 14 cm

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interest= 840000-600000= 240000

P= 600000

R=?

t= 5 yrs

I = prt

240000 = 600000 × r × 5

r= 240000/600000×5

r = 0.08

interest rate = 0.08× 100 = 8%

Answer:

See the steps below:)

Step-by-step explanation:

Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.

An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.

Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.

According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).

(2x+3)(3x²-2x+5)

= (2x+3)(3x²-2x+5)

=2x(3x²-2x+5)+3(3x²-2x+5)                                (now we will distribute)

=6x³-4x²+10x+9x²-6x+15

=6x³+5x²+4x+15.

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Answer:

4 meters

Step-by-step explanation:

Assuming that the garden is a rectangular garden, its area would be length ×width.

Let the length be L meters and the width be W meters.

Area= L ×W

48= LW -----(1)

Given that the length is 3 times the width,

L= 3W -----(2)

Substitute (2) into (1):

48= 3W(W)

3W²= 48

Divide both sides by 3:

W²= 48 ÷3

W²= 16

Square root both sides:

[tex]W = \sqrt{16} [/tex]

W= 4 (reject negative as width cannot be a negative number)

Thus, the width of the garden is 4 meters.

Answer:

25 + x = y

Step-by-step explanation:

Answer:

25+x=y

Step-by-step explanation:

25 plus the birthday cards(x)= total cards(y)

Answer:

she will pay 25% of the cost

Step-by-step explanation:

Well .35 is 35%

35+40 = 75

100-75 = 25

25%

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

Answer:

the answer for the question is D,experiment

The kind of statistical study that Thad Conducted is called; Experiment

We ae told that we want to determine the cleaner that has the best effectiveness.

Now, since he compares the result of washing with let's say brand A to the result of washing with maybe brand B, then we can say that it is called an experiment due to the fact that it involves the procedure used to determine the efficacy or likelihood of something.

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The third one is the correct graph for the equation

hope it helps !!

The equation  [tex]\left(x-3\right)^{2}+\left(y-1\right)^{2}=3^{2}[/tex]  is the equation of a circle. Graph B shows the given equation.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The standard equation of the circle is;

[tex]\left(x-h\right)^{2}+\left(y-k\right)^{2}=r^{2}[/tex]

Where,

(h,k) are the coordinates of points on the x and y-axis.

r is the radius

The equation  [tex]\left(x-3\right)^{2}+\left(y-1\right)^{2}=3^{2}[/tex]  is the equation of a circle.

Hence, graph B shows the given equation.

To learn more about the graph, refer to the link;

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Answer:

OK so this may or may not help u ...

this can be taken as the straight line with equation

y = mx + c

here f(x) is taken to be y

the attached pic is the graph of this function

so I think the value of x before it explodes would be 18.875

and x represents the time

and f(x) represents height so we see that the highest possible value of f(x) from the graph is 302

Answer:

The mean of the data is of 3.7143%.

Step-by-step explanation:

Mean of the data:

Sum of all returns divided by the number of returns.

Returns:

6% 5% -2% 10% 3% 8% -4%

7 returns.

Sum: 6 + 5 - 2 + 10 + 3 + 8 - 4 = 26%

Mean: 26%/7 = 3.7143%

The mean of the data is of 3.7143%.

Answer:

Decimal form = 1.44

Fraction form = 144/100

Hope this helps!

Answer:

x/100 x 8 = 6

8x/100 = 6

x100    x100

8x = 600

Divide by 8 on both sides:

X = 75

Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.

(unknown number/percent)x/100 x 8(of 8) = 6(is 6)