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Answer:

2 grams

Step-by-step explanation:

One can see that the given diagram is that of a balancing scale, meanig that both sides are equal to each other. Therefore,  if one calls the weight of the triangle (t), then one can form an equation. Keep in mind that it is given that the square weighs (4) grams, and therefore, the square doesn't need a variable representation.

t + 4 + 4 = t + t + t + 4

Simplify,

t + 8 = 3t + 4

Inverse operations,

t + 8 = 3t + 4

   -4          -4

t + 4 = 3t

-t         -t

4 = 2t

/2   /2

2 = t

Answer:

2 grames

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

6 rides: 2.50r+24 39

Step-by-step explanation:

6 rides: 2.50r+424 39

Answer:

are you dead?

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

when you have a multiplication of fractions, the multiplication sign always means "of".

in this example, 3/4 × 2/5 means 3/4 of 2/5.

Answer:

1000 x .15 = 150 The car will lose 15% value after the first year which is $150. Subtract 150 from 1000 and the new value would be $850.

5020 x .15 = 753 This car lost 15% after the first year which is $753. Subtract 753 from 5020 and the new value would be $4287.

The area of a parallelogram is length x height.

The answer would be C. A = 12 • 8

Answer:

8 chocolate bars

Step-by-step explanation:

56 / 7 = 8

( / = divide)

Answer:

Step-by-step explanation:

Given sequence:

We observe this is a GP with the first term of 3 and common ratio of 5.

Equation for the nth term is:

Correct choice is D

Answer:

26.25

Step-by-step explanation:

Multiply the Price by the pound.

Answer:

Yes, because the products of means is equal to the product of extreme

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

yes probably.

Step-by-step explanation:

Answer:

[tex]x = [2644,8418)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 86.3ln\ x - 680[/tex]

[tex]x < 8418[/tex]

Required

The domain of the function

The maximum value of x has been given.

So, the next step is to calculate its minimum value.

Since f(x) represents the % moisture. This value cannot go less than 0.

So, we set f(x) to 0; in order to calculate the minimum of x.

This gives:

[tex]f(x) = 0[/tex]

[tex]86.3ln\ x - 680 = 0[/tex]

Add 680 to both sides

[tex]86.3ln\ x - 680 + 680= 0 + 680[/tex]

[tex]86.3ln\ x = 680[/tex]

Divide both sides by 86.3

[tex]ln\ x = \frac{680}{86.3}[/tex]

[tex]ln\ x = 7.88[/tex]

Take exponent of both sides

[tex]e^{(ln\ x)} = e^{7.88[/tex]

[tex]x = e^{7.88[/tex]

[tex]x = 2644[/tex]

Hence, the domain is:

[tex]x = [2644,8418)[/tex]

or

[tex]2644 \le x< 8418[/tex]

(0,0) and (6,0)

First we subtract 18x from both sides

3x²-18x=0

Factor out a 3x

3x(x-6)=0

This means that x is either 0 or 6

Answer:

3×^2=3^3

or; same base get canceled so

x^2=3

hence x=√3

Answer:

Prism Y

[tex]Height = 12in[/tex]

[tex]Length = 6in[/tex]

[tex]Width = 4in[/tex]

[tex]Volume = 288in^3[/tex]

Prism Z

[tex]Height = 18in[/tex]

[tex]Length =10in[/tex]

[tex]Width = 10in[/tex]

[tex]Volume = 1800in^3[/tex]

[tex]Total = 2088in^3[/tex]

Step-by-step explanation:

Given

See attachment for sculpture

Solving (a) The dimension and volume of Y

From the attachment

[tex]Height = 18 - 6[/tex]

18 in is the height of Z and 6in represents the length (height) of the unoccupied space by Y

So:

[tex]Height = 12in[/tex]

[tex]Length = 16 - 10[/tex]

16 in is the total length of the sculpture and 10 in represents the length of Z

So:

[tex]Length = 6in[/tex]

[tex]Width = 10 - 6[/tex]

10 in is the width of Z and 6in represents the length (width) of the unoccupied space by Y

So:

[tex]Width = 4in[/tex]

Hence, the dimension of Y is:

[tex]Height = 12in[/tex]

[tex]Length = 6in[/tex]

[tex]Width = 4in[/tex]

Volume is then calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 12in * 6in * 4in[/tex]

[tex]Volume = 288in^3[/tex]

Solving (b) The dimension and volume of Z

As identified in (a), the dimensions of Z are:

[tex]Height = 18in[/tex]

[tex]Length =10in[/tex]

[tex]Width = 10in[/tex]

Volume is then calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 18in * 10in * 10in[/tex]

[tex]Volume = 1800in^3[/tex]

Solving (c): Total volume of the sculpture.

To do this, we simply add up the volumes of Y and Z.

So, we have:

[tex]Total = 288in^3 + 1800in^3[/tex]

[tex]Total = 2088in^3[/tex]

Answer:

1/2

Step-by-step explanation:

To find the slope given two points, use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 5-1)/(2--6)

    = (5-1)/(2+6)

    = 4/8

    = 1/2

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2, 5)

m = [tex]\frac{5-1}{2+6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

0.6

Step-by-step explanation:

4/5 x 3/4= 0.6

Answer:

Chad cuz it has more slope

Step-by-step explanation:

Hope it helps! :)

Answer:

Chad

Step-by-step explanation:

The steeper a line is the greater the rate of change is.

Chad has a rate of 7 workout hours per day while Noel has a rate of 1 workout hour per day. 7 is greater than 1 meaning that Chad has a greater unit rate.

Answer:

6/5 miles

Step-by-step explanation:

2 of 1/2 hour makes an hour.

1/2 hour = 3/5 miles

1 hour = 3/5 x 2 = 6/5 miles

Answer:

6/5 mph

Step-by-step explanation:

If she walks 3/5 miles in half an hour, she will walk 6/5 miles in an hour

Answer:

35 meters

Step-by-step explanation:

Since 1cm=10meters, we can do 3.5cm=how many meters?

To get from 1 to 10 we multiply by 10.

So we can do 3.5x10 to get 35 meters.

Hope this helps!

Answer:

To prove:

Expand the square:

Answer:

9,12,4                          9,12,3,1          3,3,4,1

Step-by-step explanation:

Answer:

[tex]0.4 * 0.8 = 0.32[/tex]

Step-by-step explanation:

Given

See attachment for model

Required

The equation of the model

Let the vertical and the horizontal shades be represented as x and y

On the vertical axis, 40 boxes are shaded.

So;

[tex]x = \frac{40}{100}[/tex]

On the horizontal axis, 80 boxes are shaded.

So;

[tex]y = \frac{80}{100}[/tex]

So, the equation is:

[tex]x * y[/tex]

This gives:

[tex]\frac{40}{100} * \frac{80}{100}[/tex]

Express as decimal

[tex]0.4 * 0.8[/tex]

Solve:

[tex]0.4 * 0.8 = 0.32[/tex]

Hence, the equation is:

[tex]0.4 * 0.8 = 0.32[/tex]

Answer:

can you show us the table?

Step-by-step explanation:

Answer:

Hii! Surface area= 207.35, volume= 226.19. Hope this helps!

Answer:

Surface area: 66[tex]\pi[/tex] decimal form 207.35

Volume: 72pi or 226.195

Step-by-step explanation:

Answer:

x=17!

Step-by-step explanation:

3x+5=5x-29

5=2x-29

34=2x

Therefore x=17!

Answer:

x = 17

Step-by-step explanation:

Lets start evaluating

3x + 5 = 5x - 29

3x + 5 + 29 = 5x

3x + 34 = 5x

34 = 5x - 3x

34 = 2x

x = 34/2

x = 17

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-Chetan K

Answer:

5.5 years

Step-by-step explanation:

Compound interest formula:

[tex]AV=PV(1+\frac{i}{n})^{n*t}\\7945=5000(1+\frac{.086}{2})^{2t}\\1.589=1.043^{2t}\\log_{1.043}1.589=2t\\10.9998=2t\\5.5=t[/tex]

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

Answer:

Step-by-step explanation:

1