WILL GIVE BRAINLIST IF CORRECT What is the vertex of the function f(x) = |x − 9| + 2

What is 50,000 + 7,000 + 400 + 10 + 6 in standard form?

ziro4ka [17]

Answer:

57,416

Step-by-step explanation:

50,000 + 7,000 + 400 + 10 + 6

50,000 is in the ten thousands place.

7,000 is in the thousands place.

400 is in the hundreds place.

10 is in the tens place.

6 is in the ones place.

8 0

2 years ago

Read 2 more answers

Solve each equation. 3a - 7 = 26 A=

Elanso [62]

Answer:

a = 11

Step-by-step explanation:

One is given the following equation:

3a - 7 = 26

Use inverse operations to solve this equation:

3a - 7 = 26

(add (7) to both sides)

3a = 26 + 7

Simplify,

3a = 26 + 7

3a = 33

Inverse operations,

3a = 33

(divide both sides by (3))

a = 33 / 3

Simplify,

a = 11

4 0

3 years ago

Hugh brought some magazines that cost $3.95 each and some some books that cost $8.95 each. He spent a total of $47.65 let m repr

gavmur [86]

Answer:

3.95m + 8.95b = 47.65

Step-by-step explanation:

From this problem, you get quite a handful of information.

The variable "m" represents the # of magazines Hugh bought.

The variable "b" represents the # of books Hugh bought.

One magazine [m] cost $3.95

One book [b] cost $8.95

The total cost of books and magazines is $47.65

Based on the information, you can create an equation with two variables, representing the total cost and how many of each magazine and book Hugh bought.

If one magazine cost $3.95, the amount of money he spent on magazines can be represented by 3.95m.

If one book cost $8.95, the amount of money he spent of magazines can be represented by 8.95b.

And lastly, if the total cost of magazines and books Hugh bought is $47.65, the following equation can be made:

3.95m + 8.95b = 47.65

So, "3.95m + 8.95b = 47.65" is the correct equation. I hope this helps! :)

7 0

3 years ago

Can you guys pls help me with this math question

Sindrei [870]

Answer:

Dimensions: 150 m x 150 m

Area: 22,500m²

Step-by-step explanation:

Given information:

Rectangular field
Total amount of fencing = 600m
All 4 sides of the field need to be fenced

Let $x$ = width of the field

Let $y$ = length of the field

Create two equations from the given information:

Area of field: $A= xy$

Perimeter of fence: $2(x + y) = 600$

Rearrange the equation for the perimeter of the fence to make y the subject:

$\begin{aligned} \implies 2(x + y) & = 600\\ x+y & = 300\\y & = 300-x\end{aligned}$

Substitute this into the equation for Area:

$\begin{aligned}\implies A & = xy\\& = x(300-x)\\& = 300x-x^2 \end{aligned}$

To find the value of x that will make the area a maximum, differentiate A with respect to x:

$\begin{aligned}A & =300x-x^2\\\implies \dfrac{dA}{dx}& =300-2x\end{aligned}$

Set it to zero and solve for x:

$\begin{aligned}\dfrac{dA}{dx} & =0\\ \implies 300-2x & =0 \\ x & = 150 \end{aligned}$

Substitute the found value of x into the original equation for the perimeter and solve for y:

$\begin{aligned}2(x + y) & = 600\\\implies 2(150)+2y & = 600\\2y & = 300\\y & = 150\end{aligned}$

Therefore, the dimensions that will give Tanya the maximum area are:

150 m x 150 m

The maximum area is:

$\begin{aligned}\implies \sf Area_{max} & = xy\\& = 150 \cdot 150\\& = 22500\: \sf m^2 \end{aligned}$

5 0

1 year ago

An electrician charges $322 for 7 hours of work. how much does the electrician charge per hour?

Stels [109]

Answer:

The electrician charges $46 per hour

Step-by-step explanation:

we know that

An electrician charges $322 for 7 hours of work

so

using proportion

Find out how much does the electrician charge per hour

Let

x ----> the charge per hour

$\frac{322}{7}\frac{\$}{h}=\frac{x}{1}\frac{\$}{h}\\\\x=322/7\\\\x=\$46$

therefore

The electrician charges $46 per hour

4 0

3 years ago