How many cubes are needed to build this figure?

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

A. 40

Step-by-step explanation:

CP= x, SP= £36, sale= 10%

SP= CP- 10%= CP*0.9

x*0.9= £36

x= £36/0.9= £40

Answer:

The answer is 150.

Step-by-step explanation:

Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.

Answer:

Chopped tomatoes

= 3/4 x 800 = 600g

Stock

= 3/4 x 600 = 450 ml

Red wine

= 3/4 x 300 = 225 ml

Answer: See below

Step-by-step explanation:

For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.

Chopped tomatoes

[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex]             [cross multiply]

[tex]400x=240000[/tex]                         [divide both sides by 400]

[tex]x=600g[/tex]

We will need 600 g chopped tomatoes.

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

Stock

[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex]               [cross multiply]

[tex]400x=180000[/tex]                         [divide both sides by 400]

[tex]x=450[/tex]

We will need 450 ml of stock.

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

Red wine

[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex]                            [cross multiply]

[tex]400x=90000[/tex]                           [divide both sides by 400]

[tex]x=225[/tex]

We will need 225 ml of red wine.

Answer:

Step-by-step explanation:

Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).

  y = a(x -h)^2 +k

has leading coefficient "a" and vertex (h, k).

__

f(x) = 1/3(x +5)^2 +7

  vertex: (-5, 7), opens downward

The vertex is above the x-axis, so there are two real roots.

__

f(x) = -5(x -3)^2

  vertex: (3, 0), opens downward

The vertex is on the x-axis, so there is one real root.

Answer:

20 degrees

Step-by-step explanation:

If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!

Answer:

[tex]m\angle ABD =20^\circ[/tex]

Step-by-step explanation:

According to the given statement the two angles are equal.

[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]

Best Regards!

Step-by-step explanation:

This is the answer of this question.

Answer:

56x + 126

Step-by-step explanation:

Step 1: Distribute

44x + 143 + 12x - 18

Step 2: Combine like terms

56x + 126

[tex]\text{Simplify the expression}\\\\11(4x+13)+12x-17\\\\\text{Use the distributive property}\\\\44x+143+12x-17\\\\\text{Combine like terms}\\\\\boxed{56x+126}[/tex]

Answer:

10=.50n+1.50

Step-by-step explanation:

The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50

c = total cost

n = number of chicken wings

Therefore,

The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.

The system of equation that represent the system is as follows:

c = 0.50n + 1.50

The one time fee for sauce is just like a constant in the equation.

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Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]

Answer:

x> 1/6

Step-by-step explanation:

-2(8x – 4)< 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x +8+16x < 2x+16x+5

8 < 18x+5

Subtract 5 from each side

8-5 < 18x

3 < 18x

Divide each side by 18

3/18 < 18x/18

1/6 < x

Answer:

[tex]x > \frac{1}{6} [/tex]

First answer is correct.

Step-by-step explanation:

[tex] - 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x > \frac{1}{6} [/tex]

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 12x + 11 = 0 ← in standard form

(x + 1)(x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 11 = 0 ⇒ x = - 11

The x- intercepts are x = - 11 and x = - 1

To find the y- intercept let x = 0, that is

f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11

The y- intercept is 11

Answer:

[tex]f(x)=6x^2+x-1[/tex]

I hope this help you :)

Answer:

g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.

Step-by-step explanation:

Answer:

y=5x+15

Step-by-step explanation:

We get y=5x+15 since she charges a one time fee of $15 and $5 every hour.

Answer:

Answer D

Step-by-step explanation:

Answer:

h = 2.5

Step-by-step explanation:

250 + 200h = 300 + 180h

250 + 200h - 180 = 300 + 180h - 180

250 + 20h = 300

250 - 250 + 20h = 300 - 250

20h = 50

20h ÷ 20 = 50 ÷ 20

h = 2.5

Answer:

85.84 ft²

Step-by-step explanation:

The surface area of the fabric would be the total net area of the shape of the tent covered.

Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces

From the diagram given, the 3 rectangular faces have the same dimensions as follows:

L = 6ft

W = 4ft

Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²

The 2 triangular faces have the same dimensions as follows:

B = 4f

H = 3.46ft

Area of the 2 triangular faces = 2(½*B*H)

= 2(½*4*3.46)

= 2(2*3.46)

= 2(6.92)

= 13.84 ft²

Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²

Answer:

85.84

Step-by-step explanation:

Answer:

-40960

Step-by-step explanation:

5,-10,20,..

first term= 5 and common ratio= -2

aₙ= a₁*rⁿ⁻¹

a₁₄= 5*(-2)¹³= -40960

The experimental probability is what you actually rolled

24/60 = 2/5 = 40%

The theoretical probability is what we expect to happen

=number of even numbers / total number of numbers

3/6 = 1/2 = 50%

Answer: Look at the picture :)

The pairs of rectangles that are similar polygons are those in;

1 and 4

For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.

In question 1;

Ratio of corresponding left sides = 1225/3.5 = 350

Ratio of corresponding bottom sides = 144/1.2 = 120

Ratios do not correspond and as such they are not similar polygons.

In question 2;

Ratio of corresponding left sides = 13/5.2 = 2.5

Ratio of corresponding bottom sides = 5/2.5 = 2

Ratios do not correspond and as such they are not similar polygons.

In question 3;

Ratio of corresponding left sides = 18/4.5 = 4

Ratio of corresponding bottom sides = 6/1.5 = 2l4

Ratios correspond and as such they are similar polygons.

In question 4;

Ratio of corresponding left sides = 40/8 = 5

Ratio of corresponding bottom sides = 15/3 = 5

Ratios correspond and as such they are similar polygons.

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Answer:

[tex]g_{n}=g_{n-1} *-3[/tex]

Step-by-step explanation:

A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex].  N is the number of terms and r is the rate of change.  R here equals -3 because you are multiplying by -3 eachtime.  Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]

Answer:

see explanation

Step-by-step explanation:

To solve these equations equate them to zero, that is

x² - x - 42 = 0

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6, since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

(x - 7)(x + 6) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 6 = 0 ⇒ x = - 6

Solutions are x = - 6, x = 7

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

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Solutions are x = - 3, x = 2

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

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

Solutions are x = - 5, x = 5

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

Learn more about the Venn diagram here:

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#SPJ5

The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

Answer:

1,500,000

Step-by-step explanation:

Step-by-step explanation:

First we find the interest at the end of the first year.

Principal = #600

Rate = 3%

Time = 1 year

Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]

             = #18

Amount = #618 at the end of the first year

Now at the end of the second year.

Principal now = #618

Rate now = 2%

Time = 1 year

Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]

             = #12.36

Amount = #630.36 at the end of the second year

Answer:

Brainleist!

Step-by-step explanation:

See picture

Answer:

15 deg

Step-by-step explanation:

Sine and cosine are co-functions, so

sin x = cos(90 - x)

sin 25 = cos(90 - 25)

sin 25 = cos 65

y + 50 = 65

y = 15

Answer:

La mayor tiene 61 años.

Step-by-step explanation:

Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.

Tenemos las siguientes ecuaciones:

[tex]x+y+z=127[/tex] (la suma de las edades es 127)

[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)

La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"

[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).

La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos

[tex]x+(x-26)+(x-30) = 127[/tex]

Obtenemos la ecuación

[tex]3x-56 = 127[/tex]

Sumando 56 a ambos lados y dividiendo por 3, obtenemos

[tex] x = \frac{127+56}{3} = 61[/tex]

Es decir la mayor tiene 61 años.

Answer:

Step-by-step explanation:

#1: True

#2: False

#3: False

#4: False

#5: True

I hope I've helped you.

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