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GarryVolchara [31]
3 years ago
15

You are a carpenter and have a 3\16 inch piece of wood and a 5/16 inch piece of wood.If you glue the pieces together,what is the

new measurement of the combined piece of wood in its lowest form? What is the answer in fractions in the simplest form in inches
Mathematics
2 answers:
Troyanec [42]3 years ago
5 0

5/16 + 3/16 = 8/16 (Denominator is the same) 8/16 16 is divisible by 8 so answer is  1/2

Kobotan [32]3 years ago
3 0

Answer:

\frac{1}{2} inch.

Step-by-step explanation:

We have two pieces of wood measuring \frac{3}{16} and  \frac{5}{16} inches.

If we join them to form a combined piece then the new measurement of the piece of wood will be = \frac{3}{16}+\frac{5}{16}

= \frac{3+5}{16}

= \frac{8}{16}

= \frac{1}{2} inches

Therefore, \frac{1}{2} inch will be the measurement of the combined piece of wood.

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Help plz I don't wanna fail my diagnostic I already have full on C's I only have 1 week left I really need to go to the next gra
tigry1 [53]

Answer:

hundreds

Step-by-step explanation:

3 0
2 years ago
Please help!!!!! geometry
m_a_m_a [10]

Answer:

58

Step-by-step explanation:

First, draw out your triangle on a piece of paper, and label each point w, x, and y

We are then told that side wx and yw are similar. This means that we have an isosceles triangle with two similar sides.

We are also told that angle w is equal to 64 degrees

with this information, we can assume that angle y is the same as angle x

Another important thing to note is that all triangle measures equals to 180

SO

we can make this expression:

64 + x + x = 180

Now to solve for x:

64 + x + x = 180

64 + 2x = 180

2x = 116

x = 58

3 0
10 months ago
Can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know
tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b                  

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

3 0
3 years ago
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
Which of the following would you expect to find on a monthly account statement?
timama [110]
The answer is D
here's your answer
6 0
3 years ago
Read 2 more answers
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