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Marizza181 [45]
3 years ago
11

Write an expression for the situation

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Answer:

3b

Step-by-step explanation:

if each brick is 3 inches tall, and there are b bricks, each b is 3, therefore 3b

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A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
4 years ago
Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value
algol [13]

Answer:

Minimum value of function C=x+10y is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

                                   C=x+10y

Subject to constraints:

                                   x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering x+y\geq 9, corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

                                    C=x+10y

at A(0,9)

                                     C=0+10(9)\\C=90

at B(3,9)

                                     C=3+10(9)\\C=93

at C(3,6)

                                     C=3+10(6)\\C=63

Minimum value of function C=x+10y is 63 occurs at point C (3,6).

3 0
3 years ago
2.4 written in simplest form
guajiro [1.7K]
You can either write 2.4 as 12/5 ( an improper fraction) or as 2(2/5) (a mixed number).
7 0
3 years ago
Slove:33/29=46/x. Try to find the answer.
Tju [1.3M]

Answer:

x=40\frac{14}{33}

Step-by-step explanation:

we have

\frac{33}{29}=\frac{46}{x}

Solve for x

Multiply in cross

(33)(x)=(46)(29)

Divide by 33 both sides (Division Property of Equality)

x=46(29)/33

x=\frac{1,334}{33}

Convert to mixed number

x=\frac{1,334}{33}=\frac{1,320}{33}+\frac{14}{33}=40\frac{14}{33}

5 0
3 years ago
I am once again asking for your help with solving this problem.
densk [106]

Answer:

why does this hurt my head so much

Step-by-step explanation:

5 0
3 years ago
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