To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.

paul earned 175 for working 5 days last week. He earned the same amount each day. What was pauls pay rate?

andre [41]

Answer:

His pay rate is $35.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

If D is the midpoint of CE, CD= 9x-7, and DE= 3x+17, find CE

tatuchka [14]

Hello!

Since D is the midpoint and the two equations are and both sides of point D the equations equal each other

9x - 7 = 3x + 17

Now you solve it algebraically

Add 7 to both sides

9x = 3x + 24

Subtract 3x from both sides

6x = 24

Divide both sides by 6

x = 4

Now we put this into both equations and add them

9(4) - 7 = 29
3(4) + 17 = 29

29 + 29 = 58

The answer is 58 units

Hope this helps!

3 0

3 years ago

A) Write the sequence of natural numbers which are multiplied by 3 ?

Volgvan

Answer:

a) 3, 6, 9, 12, 15,..., $3\cdot n$ , b) 4, 7, 10, 13, 16,..., $3\cdot n +1$ , c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function $f(n) = 3\cdot n$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function $f(n) = 3\cdot n + 1$ , $n\in \mathbb{N}$ . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) $f(n) = 3\cdot n$

$\Delta f = f(n+1) -f(n)$

$\Delta f = 3\cdot (n+1) -3\cdot n$

$\Delta f = 3$

(ii) $f(n) = 3\cdot n +1$

$\Delta f = f(n+1)-f(n)$

$\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)$

$\Delta f = 3$

Both sequences are arithmetic.

8 0

2 years ago

Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs

jolli1 [7]

Answer:

Henry is short of gravel

Step-by-step explanation:

Here, we are to identify which of the ingredients Henry is short of.

To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.

The total ratio is 1 + 4 + 7 = 12

For cement, we have ;

1/12 * 180 = 15 kg

For sand, we have

4/12 * 180 = 60kg

For gravel, we have

7/12 * 180 = 105 kg

From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel

8 0

2 years ago

How many people swam fewer than 30 laps?

Bas_tet [7]

Answer:

3 people

Step-by-step explanation:

Reading a stem & leaf plot can be hard!

Remember in the middle or whichever side is single digits divided by the line is your tens place values.

The 2 has two values on the other side, giving us 23 & 29 laps.

The 1 has one value on the other side, giving us 11 laps.

The 0 has no other value, so there is no data for that row.

There were 3 data points below 30, & these were 11, 23, & 29.

Hope this helped. :)

5 0

2 years ago