Please help!!!<br> What is the area of the trapezoid?

Last week the price of apples at a grocery store was $1.20 per pound. Today, the store has

lions [1.4K]

Answer:

$0.54

Step-by-step explanation:

Start by multiplying 4.5 times 1.20. That’s the normal price of the apples when they’re not on sale. $5.40. Move the decimal place back by one and you get 0.54. That’s the total price of the apples.

5 0

3 years ago

A human brain weighs about 1 kg and contains about 1011 cells. Assuming that each cell is completely filled with water (density

elena-s [515]

Answer:

Step-by-step explanation:

From the information given:

a human brain weighs = 1 kg ; = 1000 grams

Number of cells = 10¹¹ cells

The density of water filled in each cell = 1 g/mL

From above;

the weight of each of the brain cell = total weight of the human brain/the number of cells

the weight of each of the brain cell = 1000/10¹¹

the weight of each of the brain cell = 1 × 10⁻⁸ grams

Now, to calculate the quantity of water in each cell; we have:

= the weight of each brain × density

= $1 \times 10^{-8} \ g \times \dfrac{1 \ mL}{1 \ g}= 1 \times 10^{-8} \ mL$

For cube; we know that

1 mL = 1 cm³

Thus:

$1 \times 10^{-8} \ mL= 1 \times 10^{-8} \ cm^3$

Recall that; the volume of a cube as well = $x^3$

where;

x = length of each sides

∴

$x^3$ = $1 \times 10^{-8} \ cm^3$

$x = \sqrt[3]{1 \times 10^{-8}}$

x = 0.0022 cm

Thus, the length of each side of the cell = 0.0022 cm

The surface area of a single cell = x²

The surface area of a single cell = (0.0022 cm)²

The surface area of a single cell = 4.84 × 10⁻⁶ cm²

Therefore, the total surface area of is:

$1 \times 10^{11} \ cells \times \dfrac{4.84 * 10^{-6} \ cm^2}{1 \ cell}$

= $4.84 \times 10^5 cm^2$

= $5.0\times 10^5 cm^2$

= 50 m²

7 0

4 years ago

You bought a laptop and paid initial $150 you will

poizon [28]

Answer:

Step-by-step explanation:

Total Cost = 150 + 69.50*12

Total Cost = 150 + 834

Total Cost = 984

Hidden in that is a 6% sales tax

Cost before sales tax = 1.06 * x = 984. This is the key step. The 6% sales tax is hidden in the 1.06. So you call the original price = x.

1.06 * x = 984 Divide by 1.06

x = 928.3 without the sales tax

The question seems to be answered by 984. The sales tax is in that cost.

5 0

2 years ago

Is the graph increasing, decreasing, or constant?

djyliett [7]

Answer:

It is increasing.

Step-by-step explanation:

Given the graph of a straight line, there are several ways to find its equation.

Method 1: This method works only if the y intercept is visible.

Find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Get b from inspection of the y intercept of the graph.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 2: This method works even if the y intercept is not visible.

As in method 1, find any two points, (x1, y1) and (x2, y2), on the line and substitute their coordinates into the following formula to get m:

Substitute the number that you obtained for m into the equation y = m x + b. Also, take one of the points, say (x1, y1), and substitute its coordinates into the equation. This gives:

y1 = m x1 + b

It may not look like it, but this equation has only one variable, b, and you can easily solve for it.

Substitute the numbers that you have obtained for m and b into the equation y = m x + b.

Method 3: This method has the advantage that it uses only algebra, not geometry, and can be applied to any type of function, not just the straight line:

Find two points, (x1, y1) and (x2, y2), that are on the line. Take the first point, (x1, y1), and substitute it into the straight line equation, y = m x + b. This gives:

y1 = m x1 + b

Similarly, take the second point, (x2, y2), and substitute it into the straight line equation, y = m x + b. This gives:

y2 = m x2 + b

Together, these two equations constitute a system of two equations in the two unknowns, m and b. We can solve them for m and b using the elimination method. To be specific, if we subtract the first equation from the second, then b is eliminated and we get the equation:

y2 − y1 = m x2 − m x1,

which, when solved for m, gives the same equation as in the other two methods, namely:

Find b by back-substitution. To be specific, substitute the number that you obtained for m into one equation of the system of equations, say into y1 = m x1 + b. It may not look like it, but this equation has only one variable, b, and you can easily solve for it

7 0

3 years ago

What is the equation, in standard form, of a parabola that models the values in the table? x~ -1 0 2

Inessa05 [86]

<h2>Steps</h2>

Standard Form Equation: f(x) = ax² + bx + c

So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

$5=a*0^2+b*0+c\\5=c$

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

$12=a*(-1)^2+b*(-1)+5\\12=a-b+5\\7=a-b$