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earnstyle [38]
3 years ago
10

Eddy drilled into a piece of wood and a joist to attach them. If he drilled 3 inches and the wood was 1 1/3 inches thick, how fa

r did he drill into the joist?
Mathematics
2 answers:
Llana [10]3 years ago
4 0
ANSWER:
1 2/3 inches

WORKING OUT:
3 - 1 1/3 = 1 2/3
SCORPION-xisa [38]3 years ago
3 0

Answer:

[/tex]1\frac{2}{3}[/tex] inch

Step-by-step explanation:

thickness of wood = 1  1 / 3 inches = 4 / 3 inches

Amount of total drill = 3 inches

Amount of joist drill = amount of total drill - thickness of wood

= 3 - \frac{4}{3}=\frac{9-4}{3}=\frac{5}{3}=1\frac{2}{3}

Thus, the amount of drill in joist is [/tex]1\frac{2}{3}[/tex] inch.

You might be interested in
Which function is a linear function?
Sophie [7]

Answer: y+ 7 = 5x

Step-by-step explanation:

A linear function is a function in which the highest power of the unknown is 1 , that is , the highest power of the variables that are unknown will be 1.

From the question given:

A : 1  - 3x^{2} = -y

The power of x is 2 , though the power of y is 1 but because of the existence of the power of x which is 2 , it is not linear

B : y + 7 = 5x

both the power of x and y is 1 , so it is a linear function

C: x^{3} + 4 = y is not linear

D is also not linear

likewise , E is not linear

Therefore , B is the only linear function

4 0
3 years ago
What are all the factors of 54?
lana66690 [7]

Answer:

1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

1x54=54

2x27= 54

3x18=54

4x9=54

just put all the factors in numerical order.

7 0
3 years ago
Evaluate the polynomial for x = 0.<br> 3x2 - 2x + 3
muminat

Answer: 285

Step-by-step explanation:

302 - 20 + 3

4 0
3 years ago
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
Read 2 more answers
Can enyone put 457÷4 in long division and show me a picture of it
STALIN [3.7K]
457 divided by 4 118.75 i do not have the long division but you basically just put 4 into 457 and stuff so you do 4 into 45 which is 11.25 then 4 into 7
Which is 1.75 then put that together getting 118.75
6 0
4 years ago
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