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Rufina [12.5K]
3 years ago
7

Electric saw A cuts planks at a uniform rate of 150 every 30 seconds, and Electric saw B cuts planks at a uniform rate of 130 ev

ery 13 second. Of the 2 saws run simultaneously, how many seconds will take for them to produce a total of 225 planks
Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Saw A = 150 planks/30 seconds = 5 planks per second

Saw B = 130 planks/ 13 seconds = 10 planks per seconds

5 + 10 = 15 planks per second total

225 planks / 15 planks per second = 15 seconds

Answer: 15 seconds

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What is the ratio of red to blue squares in its simplest form?<br> 14 red 4 blue
zlopas [31]

Simplest Form: 7 : 2

How to Simplify a Ratio A : B when A and B are both whole numbers:

  1. List the factors of A
  2. List the factors of B
  3. Find the greatest common factor of A and B, GCF(A, B)
  4. Divide A and B each by the GCF
  5. Use the whole number results to rewrite the ratio in simplest form

Try to reduce the ratio further with the greatest common factor (GCF).

<em>The GCF of 14 and 4 is 2</em>

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

Therefore:

14 : 4 = 7 : 2

5 0
3 years ago
Which of the following can be used to calculate the volume of water inside the fish bowl?
Lunna [17]

The volume of a sphere can be calculated as

V=\frac{4}{3}\pi r^3

Where r is the radius of the sphere

We want to calculate half of the volume, then we must divide that volume by 2

V^{\prime}=\frac{1}{2}\frac{4}{3}\pi r^3

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

r=\frac{AB}{2}=\frac{12}{2}=6

Let's put it into our equation

\begin{gathered} V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(r)^3 \\  \\ V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(6)^3 \end{gathered}

The problem says to use

\pi\approx\frac{22}{7}

Then

V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3

Final answer:

The formula that can be used to calculate the volume of water inside the fish bowl is

V=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3

8 0
1 year ago
Solve the system of linear equations with substitution;
kvv77 [185]
Let's solve for x.
x
+
4
y
=
(
14
)
(
3
)
x
+
7
y
Step 1: Add -42x to both sides.
x
+
4
y
+
−
42
x
=
42
x
+
7
y
+
−
42
x
−
41
x
+
4
y
=
7
y
Step 2: Add -4y to both sides.
−
41
x
+
4
y
+
−
4
y
=
7
y
+
−
4
y
−
41
x
=
3
y
Step 3: Divide both sides by -41.
−
41
x
−
41
=
3
y
−
41
x
=
−
3
41
y
Answer:
x
=
−
3
41
y
8 0
3 years ago
Read 2 more answers
URGENT PLEASE: You purchase a new guitar and take out a loan for $450. You have 18 equal monthly payments of $28 each. What is t
kramer
Answer:
8%

Step-by-step explanation:
The amount repaid is ...
A = P(1 +rt)
Filling in the given values, we can find r.
(18·28) = 450(1 +r(18/12)) . . . . . t is in years
504 = 450 + 675t

54/675 = 0.08 = 8%

The simple interest rate on the loan is 8%.
8 0
3 years ago
What is the answer to 3(x+4)=5x+14
Ymorist [56]
X = -1
Here’s my work :

8 0
4 years ago
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