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4 years ago

A machine made 2 1/2 pencils in 4/6 of a minute. It made pencils at a rate of how many per minute

Mathematics

1 answer:

Delvig [45]4 years ago

4 0

Answer:

3 3/4

Step-by-step explanation:

Because we want to know the unit rate per a minute so i divded

2 1/2 divided by 4/6=3 3/4

because they are fractions not whole numbers

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Chau's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Chau $5.50 per pound, and type B

Anettt [7]

84 pounds of Type B coffee is used

Solution:

Let "x" be the pounds of type A coffee

Let "y" be the pounds of type B coffee

Cost per pound of type A = $ 5.50

Cost per pound of Type B = $ 4.20

This month, Chau made 143 pounds of the blend

x + y = 143

x = 143 - y -------- eqn 1

For a total cost of $677.30. Thus we frame a equation as:

pounds of type A coffee x Cost per pound of type A + pounds of type B coffee x Cost per pound of Type B = 677.30

$x \times 5.50 + y \times 4.20 = 677.30\\\\5.5x + 4.2y = 677.30 -------- eqn 2$

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

$5.5(143-y) +4.2y = 677.30\\\\786.5 -5.5y + 4.2y = 677.30\\\\5.5y - 4.2y = 786.5 - 677.30\\\\1.3y = 109.2\\\\Divide\ both\ sides\ by\ 1.3\\\\y = 84$

Thus 84 pounds of Type B coffee is used

8 0

3 years ago

20 POINTS Find the volume of the prism.

zepelin [54]

Answer:

v=1/2(13.1+25.4)(17)(15)

v=1/2(38.5)(255)

v=4,908.7 ft³

OAmalOHopeO

8 0

3 years ago

How many protons, neutrons, and electrons does 92U238 have

Anna35 [415]

Answer:

92 92 238

Step-by-step explanation: 92 because a proton and electron have the same and first is 92 and well 238

7 0

4 years ago

Which expression is equivalent to

Nat2105 [25]

Answer : The correct option is $\frac{1}{36a^{4}b^{10}}$

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

$[\frac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}]^{-1}$