Timothy bought concrete mix for several projects. He used

Mathematics

2 answers:

Hunter-Best [27]3 years ago

8 0

Answer:

The required model is $3.5y+2.25y=345$

60 pounds of concrete each bag make.

Step-by-step explanation:

Consider the provided information.

Let the number of concrete bags are used is represented by y.

Part (A)

3.5 bags of concrete mix for a new set of stairs and 2.25 bags of concrete mix for a garden wall.

This can be written as:

$3.5y+2.25y$

Timothy mixed 345 pounds of concrete in all.

Therefore, $3.5y+2.25y=345$

Hence, the required model is $3.5y+2.25y=345$

Part (B) Solve for y. How many pounds of concrete does each bag make?

Consider the above equation.

$3.5y+2.25y=345$

Solve the equation for y as shown.

Add the like terms.

$5.75y=345$

Divide both the sides by 5.75

$y=60$

Hence, 60 pounds of concrete each bag make.

stira [4]3 years ago

4 0

3.5y+2.25y=345

5.75y=345

60

Each bag makes 60 lbs of concrete

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A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute

Yuki888 [10]

88 feet in 2 seconds
how many feet in 1 minute?
1 minute is 60 seconds

so, we can write a proportion and solve
feet/ seconds = feet/seconds
88/2 = x / 60
cross multiply
(88 * 60 ) = 2 * x
5280 = 2x
divide both sides by 2
2640 = x

To check:
88/2 =?= 2640 / 60
44 = 44

So the car travels 2640 feet in 60 seconds, or 1 minute.

(btw just in case you wanted to know also, 2640 feet is equal to 0.5 of a mile, that car travels 0.5 miles in 1 minute)

Hope this helps

3 0

3 years ago

Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

Online By Mail Total

Male 12 8 20

Female 24 6 30

Total 36 14 50

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

$\frac{6}{50}$ P(Pays bill by mail/Customer is female) = $\frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}$