Write each of the following products (the result to a multiplication problem) using exponents to express the results in a simpler form.(3a)(5a) __________(5p)(2p) ___________(3 inches)(5 inches)___________(5 feet)(2 feet)_________

Given:

Betsy has $400 in a personal bank account, and then withdraws $14 per

week.

Carlos has $25 in a personal bank account, and then deposits $61

earned from babysitting each week.

Required:

The same amount will they have in the bank after how many week.

Explanation:

After 5 weeks Betsy will have $330 in her account.

Since

After 5 weeks Carlos will have $330 in her account.

Since

Hence, after 5 weeks they will have the same amount of money $330 in the bank.

Final Answer:

After 5 weeks they will have the same amount of money $330 in the bank.

The absolute value gives always a positive number.

If a is negative, then a|x| is negative and |ax| is positive.

Therefore, the graph of y=a|x| won't be the same as the graph of y=|ax|.

Another way to see it, is by using the property:

Since a is negative, then |a| = -a. So, |ax| = -a|x|, which is clearly different from a|x|.

Answer:

-11

Step-by-step explanation:

1-4x(-3)+8x(-3)=

first you multiple

-4x(-3)=12

8x(-3)= -24

bring down the 1

1+12-24=

now we add

13-24=

then subtract and we get

-11

Mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.

Therefore, mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.

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Answer:

1310 cubic feet per minute

Explanation:

Let x represent the value in cubic feet per minute

Note that;

1 cubic meter per second = 2118.87997 cubic feet per minute

Given 0.618 cubic meter per second, to be able to solve for x, we'll go ahead and set the proportions as seen below;

Let's go ahead and cross-multiply;

Answer:

Explanation:

From the information given, 3

Answer: KM = 18

Step-by-step explanation:

K---------------L---M

         15        +  3 = 18

Okay, here we have this:

Considering the provided information, that in a rhombus opposite angles are equal, and that the sum of the angles of a triangle is 360 °, we obtain:

360°=100°+100°+4(m∠DBC)

Now, let's clear "m∠DBC":

360°=200°+4(m∠DBC)

4(m∠DBC)=360°-200°

4(m∠DBC)=160°

m∠DBC=160°/4

m∠DBC=40°

Finally we obtain that the correct answer is the option A.

For two binomials, the distributive property is:

So, let's solve this problem.

Step 01: Multiply the first term of the binomial (x - 3) by both terms of the binominal (4x + 2).

Step 02: Multiply the second term of the binomial (x - 3) by both terms of the binominal (4x + 2).

Step 03: Multiply the terms.

Step 04: Add like terms.

Answer:

We have the arithmetic progression given by

if n = 1 we have the first term, n = 2 the second one and, so on, to find the 32nd term we just do n = 32, therefore

The 32nd term is 440.

2r + 7 = 4r - 13

subtract 4 from both-side of the equation

2r - 4r + 7 = 4r - 4r - 13

-2r + 7 = -13

subtract 7 from both-side of the equation

-2r + 7 = -13 - 7

-2r = -20

divide both-side of the equation by -2

r = 10

we know that

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally

so

18/6=DC/11

solve for DC

DC=3*11

DC=33

Find the length of BD

BD=BC+DC

BD=11+33=44 units

therefore

the answer is 44 units

Answer: i think B

Step-by-step explanation:

im not that sure tho

Let the number of miles I can travel for $33 be x;

The total cost of taxi ride from the airport is;

Flat fee + Tolls fee + Charge/Mile = Total cost

Flat fee = $2.00

Toll fee = $3.50

Charge per mile = 0.50x

Total cost = $33.00

Thus, we have;

Thus, the number of miles

Considering this year as the last year in the table which is 2013

Therefore,

The number of students to attend this year's talent show will be calculated by

Hence.

The attendance for this year is 342 students

1. Divide the first term of the dividend into the first term of the divisor:

2. Multiply the result above by the divisor:

3. Subtract the result above from the divident to get a new polynomial:

4. Repeat the process with the new polynomial:

First, we need to find the sides of the triangle.

The base of the triangles is 8ft - 5ft = 3ft.

The height for the triangle is 7ft - 4ft = 3ft

Now, we need to find the area of the triangle:

Replacing the values:

Then

Now, we need to find the area for the rectangle:

Area for a rectangle = Length * Width

In this case:

Length = 8ft

Width = 7ft

Therefore:

Then

Finally, to find the area of the shaded region we need to subtract the triangle area from the rectangle area:

Therefore:

Hence, the area for the shaded region is 51.5 ft².

The bar graph is attached below.

The heights of the rectangular bars in a bar graph, which displays complete data, are proportionate to the values they indicate. The graph's bars can be displayed either vertically or horizontally. Bar graphs, commonly referred to as bar charts, are a visual depiction of groups of data. It is one method of processing data. A bar graph is a great tool for representing data that are unrelated to one another and do not need to be displayed in any particular sequence. The bars provide a visual representation for comparing amounts in several categories. The x and y axes, commonly known as the horizontal and vertical axes, the title, labels, and a bar graph are all included.

Hence we frame the desired bar graph.

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Solution:

Let t be the number of hours Mai works as a tutor.

Given that She earns $12 a hour as a tutor, this implies that for t number of hours, she will earn

For the month, she worked a combined total of 85 hours. This implies that

Her total eranings for the month is expressed as

Recall that she earnes $7 an hour while working as a waitress.

Thus, we have her combined total amount in dollars expressed as

Hence, the expression is

Answer:

3056 can be be formed as the smallest four digit number

Answer:

To find the perimeter of the triangle, you would add p + m + n. To find the area of the triangle you would use (p x m) /2. To find a missing side of the triangle, given that it is a right triangle, you would use p^2 + m^2 = n^2

The coordinates can be obtained using section formula

The x coordinate of E is 7 and y coordinate is 8.

To find the angle measure "n", we proceed as follows:

Step 1: Recall that the sum of angles at a point is 360 degrees, as below:

Therefore, the meas

If he paid $57 monthly for 14 months, the total amount paid is:

He paid $798 in total

If one line passes through the points (x₁, y₁) and (x₂, y), the slope of the line can be calculated using the formula:

Additionally, the equation can be expressed in point-slope form as:

From the problem, we identify:

Then, we calculate the slope of the line using (1):

Finally, we find the equation of the line using (2):

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

s = 50in

d = 20in

surface area of a cone = ?

Step 02:

surface area of a cone

SA = πr² + πrs

r = d/2 = 20in / 2 = 10in

SA = 3.14*(10in)² + 3.14*50in*10in

SA = 314in² + 1570in²

SA = 1884in²

The answer is:

SA = 1884in²

step 1

Find the slope m

we need two points

so

(200,100) and (80,220)

m=(220-100)/(80-200)

m=120/-20

m=-6

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-6

(x1,y1)=(200,100)

substitute

y-100=-6(x-200)

Convert to slope intercept form

y-100=-6x+1200

step 3

Find the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

so

y=-6x+1300