What is the solution to.

Answer:

6

Step-by-step explanation:

Let's call the number of red cubes that Sam has r, and the number of yellow cubes that she has y.

Since the sum of the number of cubes is 20:

r+y=20

Since she has 8 more yellow cubes than red ones:

y=r+8

You can now plug this back into the first equation:

r+(r+8)=20

2r+8=20

2r=12

r=6

Therefore, Sam has 6 red cubes. Hope this helps!

Hope this helps!

Answer:

6 red cubes

Step-by-step explanation:

Let statements: let y be the number of yellow cubes, and let r be the number of red cubes.

r+y=20

r+8=y

r+(r+8)=20

2r+8=20

2r=12

r=6

Answer:

4.2 days

Step-by-step explanation:

Number of Weeks during which she practiced =4 weeks

Convert from weeks to days = 4 X 7=28 days

Since she practices all of her scales 15% of her practice days.

Number of Days that she practiced all her scales

=15% X 28

=0.15 X 28

=4.2 days

Answer:

86.6 feet (3 s.f.)

Step-by-step explanation:

Please see attached picture.

tan60°= height of tower/ 50

Height of tower

= 50tan60°

= 50√3

= 86.6 ft (3 s.f.)

tanѲ= opp/ adj

Answer:

$15,000,000

Step-by-step explanation:

Fórmula de intereses = P × R × T

P = $15,000,000

R = 30% anual = 0.3

T = 8 meses = 8/12 = 0.6667

Intereses = $15,000,000 × 0.3 × 0.6667

Intereses = $3,000,000

Después de 8 meses, el monto a pagar = $15,000,000.00+ $3,000,000

= $18,000,000

Si hace un pago de $3,000,000 dentro de 2 meses, cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual

= $18,000,000 - $3,000,000

= $15,000,000

Answer:

201.06

Step-by-step explanation:

A=4πr2=4·π·42≈201.06193

Answer:

The correct equation to solve for "x" is:

[tex]x^2+8x-308=0[/tex]

(first option in your list)

Step-by-step explanation:

Let's say that since the integers in question are separated on the number line, we can call them x, and y with for example y being the larger one (two the right of x on the number line). Since the two integers are 8 units apart, then we can write in mathematical form:

y - x = 8 (because y is the larger of the two numbers)

and solving for "y" we get:

y = x + 8

we also know that their product is 308, which we can write in the following form:

x * y = 308

Now, replacing y by "x + 8", we get:

[tex]x*y=308\\x\,(x+8)=308\\x^2+8x=308\\x^2+8x-308=0[/tex]

Therefore, the correct equation is the first one listed among your answer options.

Answer:

x2 + 8x – 308 = 0

Step-by-step explanation:

its A on edge

Answer:

[tex]245[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

If Every side is 7cm, that means that every side is congruent to the other.

So,

[tex]7[/tex]×

There are basically 5 squares, counting the one in the middle.

So, we will multiply 49 by 5.

[tex]5[/tex]×[tex]49[/tex]=[tex]245[/tex] [tex]cm^{2}[/tex]

Hence, your answer will be [tex]245[/tex] [tex]cm^{2}[/tex]

Answer:

1) 10x⁵+38x⁴-23x³-101x²- 96x+50

-x+17

(7x²-x-29)=0

3x³ -13x²-4x + 67=0

3x³ -6x²-11x+19

5x²- 20x

Step-by-step explanation:

Spanish

Agregar los polinomios:

(4x + 9) + (5x - 8) (x2 - 4x + 7) + (2x2 + 6x - 8) (5x3 + 4x2 - 7x -8) + (2x3 - 3x2 + 4x - 3)

Primero multiplicaremos los polinomios con los corchetes

= 4x ​​+ 9 + (5x³- 20x² + 35x - 16x² + 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x² + 30x⁴ + 24x³- 42x²- 48x- 40x³- 32x²- 56x + 64) + (2x³- 42x² + 4x -3)

Ahora simplificaremos dentro de los corchetes agregando primero los términos similares

= 4x ​​+ 9 + (5x³- 36x² + 67x-56) + (10x⁵ + 38x⁴- 30x³- 90x²-104x + 64) + (2x³- 42x² + 4x-3)

Ahora suma o resta todos los términos similares y distintos

= 10x⁵ + 38x⁴- 30x³ + 5x³ + 2x³- 90x²- 36x²- 42x² + 67x²-104x + 4x + 4x + 64 + 9-3

= 10x⁵ + 38x⁴-23x³-101x²- 96x + 50 Ans

Restando los polinomios

(4x + 9) - (5x - 8) = - x + 17

-5x +8 + 4x + 9 = -x + 17

-x + 17 = -x + 17

(x2 - 4x + 7) - (2x2 + 6x - 8) = -20x2-13x-72

x²-2x²-4x-6x + 7 + 8 = 20x2-13x-72

-x²-10x + 15-20x² + 13x + 72 = 0

-21x² + 3x + 87 = 0

-3 (7x²-x-29) = 0

(7x²-x-29) = 0

(5x3 + 4x2 - 7x -8) - (2x3 - 3x2 + 4x - 3) = 20x2 + 32x-45x-72

5x³-2x³ + 4x² + 3x²-7x-4x-8 + 3 = 20x2 -7x-72

3x³ + 7x²-11x-5-20x² + 7x + 72 = 0

3x³ -13x²-4x + 67 = 0

(7x3 - 10x2 - 11x + 9) - (4x3 - 4x2 - 10)

Los signos negativos cambian cuando restamos

= 3x³ -6x²-11x + 19

Ahora multiplicando

5x (x-4) = 5x²- 20x

English

Adding the polynomials :

(4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3)

First we will multiply the polynomials  with the brackets

= 4x+9 + ( 5x³- 20x²+ 35x - 16x²+ 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x²+30x⁴+ 24x³- 42x²- 48x- 40x³- 32x²- 56x+ 64) + ( 2x³- 42x²+ 4x-3)

Now we will simplify within the brackets first adding the like terms

= 4x+9 + (5x³- 36x²+67x-56) + (10x⁵ +38x⁴- 30x³- 90x²-104x+64) + ( 2x³- 42x²+ 4x-3)

Now add or subtract all the like and unlike terms

= 10x⁵+38x⁴- 30x³+5x³+2x³- 90x²- 36x²- 42x²+67x²-104x+4x+4x+64+9-3

= 10x⁵+38x⁴-23x³-101x²- 96x+50  Ans

Subtracting the Polynomials

(4x + 9) - (5x – 8)=-x+17

-5x +8 +4x+9 = -x+17

-x+17=-x+17

(x2 – 4x + 7) - (2x2 + 6x – 8)= -20x2-13x-72

x²-2x²-4x-6x+7+8=20x2-13x-72

-x²-10x+ 15-20x²+13x+72=0

-21x²+3x+87=0

-3(7x²-x-29)=0

(7x²-x-29)=0

(5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)=  20x2 +32x-45x-72

5x³-2x³+4x²+3x²-7x-4x-8+3= 20x2 -7x-72

3x³+7x²-11x-5-20x²+7x+72=0

3x³ -13x²-4x + 67=0

(7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10)

The negative signs are changed when we subtract

= 3x³ -6x²-11x+19

Now Multiplying

5x(x-4) = 5x²- 20x

Answer:

44

Step-by-step explanation:

Tan v=opp/adj 18s/19s=0.947

v=44 degrees (approximately)

angle T=180 - (90+44)

angle T= 46

Answer:

Step-by-step explanation:

                                   -----------

5/7 can be written as 0.714285

                                   -----

7/9 can be written as 0.777

∴ An irrational number between 5/7 and 7/9 is 0.72010010001.....

or u ca write other numbers also like

0.73010203.....

0.74090080007.....

Answer:

[tex]3x^2 - 8x - 4[/tex]

Step-by-step explanation:

This is a short and simple question, but it's good!

We are given the expression [tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex], and simply being asked to combine like elements to simplify the expression. Take a look at the procedure below -

[tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex] - Remove ( ),

[tex]x^2-5x+3+2x^2-3x-7[/tex] - Add like elements,

[tex]3x^2-5x-3x+3-7,\\3x^2-8x+3-7,\\[/tex] - And further simplify to derive solution

[tex]Solution = 3x^2-8x-4[/tex]

Hope that helps!

Answer:

The total cost depends on the weight of the pacakge

Answer:

640 fl oz

Step-by-step explanation:

80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.

So you would multioply 80 by 8 to find the amount of juice needed for 80 servings.  80*8= 640

Answer:

2x sqrt(3)

Step-by-step explanation:

f(x) = 4x sqrt(3x+3) =4x sqrt(3  (x+1)) = 4x sqrt(3 ) * sqrt (x+1)

g(x) = 2 sqrt(x+1)

f(x) / g(x) = 4x sqrt(3 ) * sqrt (x+1)/ 2 sqrt(x+1)

     Canceling like terms

              = 4x sqrt(3) / 2

              = 2x sqrt(3)

Answer:

810

Step-by-step explanation:

The original price of the car = 100%.

Price is decreased by 10%- price now equal 90% of original.

Let original price = x

.9x=729

x=810

Check:

810 - .1(810) = 729

True!

729 + 10%=801.90

is the answer

Answer:

B(x) = 2x + 3

Step-by-step explanation:

Given:

Amount used = 3 GB   (constant term)

Additional amount for each stream = 2 GB  (slope)

Total bandwidth used for x streams

B(x) = 2x + 3

Answer:

A and C

Step-by-step explanation:

The shapes that have 4 congruent sides are squares and rhombi.

Answer:

875 cm^3

Step-by-step explanation:

Here, we want to calculate the volume of the pyramid.

To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question

Mathematically since the base is a square, formula for the base area would be ;

L^2 = 5^2 = 125 cm ^2

Now

using the height to get the volume , we have 125 * 7 = 875 cm^3

Answer:

58 1/3 cm³

Step-by-step explanation:

V = 5² * 7 / 3

V = 25 * 7 / 3

V = 58 cm³

Answer:

-1/5

Step-by-step explanation:

(10 ,9)  .....(40 , 3)

(9-3)/(10-40)=6/-30=-1/5

Answer: C) -1/5

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_{1} -y_2}{x_{1} -x_2}[/tex].  Thus, the slope of the line is

6/-30, or -6/30, or -1/5

Answer:

The radicals should be negatives of each  other

Step-by-step explanation:

When we get solutions that are radicals, they have to be in the form

a+ sqrt(b) and a- sqrt(b)

His answer is a + sqrt(b) and -a - sqrt(b)

Answer: (0.1)  m= -4/3  y= -4/3*x+1

Step-by-step explanation:

Our equation is wriiten this way : y=mx+b where m is the slope and b a constant

To get b we need to replace y and x by the coordinates of a point :

The intercepts with the y-axis are the images of 0

we can see from the table that f(0) = 1 so (0.1) is the intercept with the  y-axis

Answer:

The slope is -4/3 and the equation is y=-4/3x+1

Step-by-step explanation:

The easiest way to solve these types of problems is to use Desmos. Look closely at the graph, there is a table on the left with the x and y chart list that automatically adds points onto the graph and the equation of the line. You have to determine the distance between 2 of those points. I counted from coordinate (-3,5) to (0,1) The length between those two points makes a fraction of -4/3. So -4 down and 3 across. That is how you find the slope. Then you make the equation. y=-4/3x+1

Answer:

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

Hope this helps you

Answer:

[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]

Step-by-step explanation:

It is required that the algebraic expression has exactly 3 different variables

Since it must have a degree of 7, the highest power in the expression will be 7.

Therefore, an example of such an algebraic expression will be:

[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]

Answer:

y = 2/3*x+2

Step-by-step explanation: let f be our function

The slope m :

Answer:

y = 2/3*x+2

Step-by-step explanation:

Because it is the "Correct Answer"

Step-by-step explanation:

The least number is 11

N = 11

99 x n = 99 x 11 = 1089

Which is a perfect square

Answer:

B. f(-4) = g(-4), and f(0) = g(0)

Step-by-step explanation:

We are given two functions that have been graphed already. The points on the coordinate plane  where the  curve of g(x) intercepts that of f(x), are the values of x for each function, that would give us the same output (y).

Thus, for f(x) intercepts g(x) at the point where x = -4, y = 4.

Also, f(x) and g(x) intercepts at the point where x = 0, y = 4.

Therefore, the correct answer is f(-4) = g(-4), and f(0) = g(0)

Answer:

Step-by-step explanation:

1. We have added marks to the diagram indicating that FG is a perpendicular bisector of BC. These hash marks and angle indicator are shown in the first attachment.

__

2. The proof that ∆BCE is equilateral, so all its angles are 60°, is shown in the second attachment.

__

3. The proof that m∠ECD = 30° is shown in the second attachment.

__

4. We know △ECD is isosceles because CE ≅ CD. Since the angle at C is 30°, the base angles at D and E are (180° -30°)/2 = 75°.

The angle of interest, ∠BED, is the sum of angles DEC (75°) and CDB (60°). Hence, ...

  m∠BED = 75° +60° = 135°

  m∠BED = 135°

Answer:

Option (B)

Step-by-step explanation:

Let the five distinct positive integers are a, b, c, d, e.

Average of these five integers is 20.

[tex]\frac{a+b+c+d+e}{5}=20[/tex]

a + b + c + d + e = 100

If these integers are in the increasing order,

Median of these integers 'c' = 12

If the sum of d and e is the largest then the sum of a and b will be the smallest.

Therefore, the smallest positive integers a and b will be,

a = 1 and b = 2

1 + 2 + 12 + d + e = 100

15 + d + e = 100

d + e = 100 - 15

d + e = 85

Since d will be greater than the median c,

d > c

d > 12

For the largest value of integer 'e', value of 'd' will be minimum.

The least value of d will be = 13

Then, 13 + e = 85

e = 85 - 13

e = 72

{a, b, c, d, e} = {1, 2, 12, 13, 72}

Therefore, the largest possible number is this set will be 72.

Option (B) will be the answer.

Answer:

25

Step-by-step explanation:

Here is a picture of my work. I thought it would be too tedious to type it up. I hope this helps you!! Have a great rest of your day.