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rodikova [14]
2 years ago
10

a carpenter needs to make 60 dowels. Each dowel must be 6 inches long. the wood from which the carpenter will cut the dowels com

es in 4 foot lengths. what is the least number of 4 foot lengths of wood the carpenter can buy and still make 60 dowels.
Mathematics
2 answers:
forsale [732]2 years ago
4 0
8 pieces of wood. It takes 6 inches to make 1 dowel, so with 4 feet (48 inches) you could make 8 dowels per board. You would need 7.5 boards to make 60, but you cant buy half a board, so the answer is 8


padilas [110]2 years ago
3 0
The answer is 8 I believe
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HELP PLEASE ASAP<br> I REALLY NEED HELP
Sergeu [11.5K]

The answer is 24. You subtract 40 - 16.

4 0
3 years ago
Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 4 oz of chips and drank 1 cup of soda for a to
Inga [223]

Answer:

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the amount of sodium in 1oz of chips.

y is the amount of sodium in 1 cup of soda.

Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.

This means that 4x + y = 600, also y = 600 - 4x

Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.

This means that:

x + 4y = 300

From the first equation, we have that y = 600 - 4x. So

x + 4(600 - 4x) = 300

x + 2400 - 16x = 300

15x = 2100

x = \frac{2100}{15}

x = 140

y = 600 - 4x = 600 - 4*140 = 40

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

4 0
2 years ago
( 4 ten thousands 8 hundreds) ÷ 10 in unit form and standard form
siniylev [52]
<span>To solve for the given, </span>40, 800 ÷ 10 in unit form and standard form <span>in unit form and standard form </span>
<span>We can first standardize the given into a equation form which will be: </span>
<span>1. 40,800 / 10 which yield 4,080 </span>
<span>40,800 x 10 = 4080 </span>
<span>Notice the amount of zero the value of 40,800 decreased. </span>
<span>2. The standard form then is 4080 </span>
<span>3. The word form of the quotient is four thousand eighty..<span>
</span></span>

7 0
3 years ago
AB is tangent to circle D. Find the value of x.
Svet_ta [14]

Answer:

c     15

Step-by-step explanation:

Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.

We can use the Pythagoren theorem.

a^2 + b^2 = c^2

x^2 + 20^2 = (x + 10)^2

x^2 + 400 = (x + 10)(x + 10)

x^2 + 400 = x^2 + 10x + 10x + 100

400 = 20x + 100

20x = 300

x = 15

6 0
3 years ago
A child is playing games with empty soda cups. There are three sizes: small, medium, and large. After some experimentation
anyanavicka [17]

Answer:

S is the volume of the small cup, M the volume of the medium cup and L the volume of the large cup:

2*S + 2*M + 4*L = 160oz

2*S + 6*M + 1*L = 160oz

5*S + 1*M + 3*L = 160oz.

First, we must isolate one of the variables, for this we can use the first two equations and get:

2*S + 2*M + 4*L = 160oz = 2*S + 6*M + 1*L

We can cancel 2*S in both sides:

2*M + 4*L = 6*M + 1*L

now each side must have only one variable:

4*L - 1*L = 6*M - 2*M

3*L = 4*M

L = (4/3)*M.

now we can replace it in the equations and get :

2*S + 2*M + 4*(4/3)*M = 160oz

2*S + 6*M + (4/3)*M = 160oz

5*S + 1*M + 4M = 160oz.

simplifing them we have:

2*S + (22/3)*M +  = 160oz

2*S + (22/3)*M  = 160oz

5*S + 5*M  = 160oz.

(the first and second equation are equal because we used those to get the relation of M and L, so we now have only two equations):

2*S + (22/3)*M  = 160oz

5*S + 5*M  = 160oz.

We can take the second equation and simplify it:

S + M = 160oz/5 = 32oz

S = 32oz - M

Now we can replace it in the first equation and solve it for M

2*S + (22/3)*M = 2*(32oz - M) + (22/3)*M = 160oz

62oz - 2*M + (22/3)*M = 160oz

-(6/3)*M + (22/3)*M = 98oz

(18/3)*M = 98oz

M = (3/18)*98oz = 16.33 oz

Then:

L = (4/3)*M =(4/3)*16.33oz = 21.78 oz

and:

S = 32oz - M = 32oz - 16.33oz = 15.67oz

6 0
2 years ago
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