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2 years ago

5 bricklayers can lay a total of 50 bricks in 30 minutes. How many bricklayers will

Mathematics

1 answer:

iragen [17]2 years ago

8 0

Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.

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The cost of 5 scarves is $91.25. What is the unit price? The unit price is $ per scarf.

NikAS [45]

Answer:

18.25

Step-by-step explanation:

just divide the total cost of scarves by the number of scarves:

91.25 / 5 = 18.25

6 0

2 years ago

The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Person

allochka39001 [22]

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)$

By substituting values for x1,x2,y1 and y2; the gradient becomes

$m = \frac{8 - 2}{5 - 1}$

$m = \frac{6}{4}$

$m = \frac{3}{2}$

$m = 1.50$

Hence, the constant of variation is $1.50

7 0

2 years ago

Read 2 more answers

Given log Subscript 4 Baseline 3 almost-equals 0.792 and log Subscript 4 Baseline 21 almost-equals 2.196, what is log Subscript

defon

Answer:

Step-by-step explanation:

The following is the logarithm quotient rule:

$log_{c}{a / b} = log_{c}{a} - log_{c}{b}$

Plugging in the values we have above gives us the following:

$log_{4}{21 / 3} = log_{4}{21} - log_{4}{3}$

$log_{4}{7} = 2.196 - 0.792$

$log_{4}{7} = 1.404$

6 0

2 years ago

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Carla purchased a hat for $12, a purse for $26, and a dress for $125. The sales tax rate was 5.6 percent. What was the total amo

disa [49]

12 + 26 + 125 = 163
163 + 0.056(163) = 163 + 9.13 = 172.13

5 0

2 years ago

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The image shows a geometric representation of the function f(x) = x^2 + 2x + 3 written in standard form. What is this function w

AlekseyPX

Answer:

f(x) = (x + 1)² + 2 in vertex form ⇒ 3rd answer

Step-by-step explanation:

* Lets revise how to find the vertex form the standard form

- Standard form ⇒ x² + bx + c, where a , b , c are constant

- Vertex form ⇒(x - h)² + k, where h , k are constant and (h , k) is the

vertex point (minimum or maximum) of the function

- At first we must find h and k

- By equating the two forms we can find the value of h and k

* Lets solve the problem

∵ f(x) = x² + 2x + 3 ⇒ standard form

∵ f(x) = (x - h)² + k ⇒ vertex form

- Put them equal each other

∴ x² + 2x + 3 = (x - h)² + k ⇒ open the bracket power 2

∴ x² + 2x + 3 = x² - 2hx + h² + k

- Now compare the like terms in both sides

∵ 2x = -2hx ⇒ cancel x from both sides

∴ 2 = -2h ⇒ divide both sides by -2

∴ -1 = h

∴ The value of h is -1

∵ 3 = h² + k

- Substitute the value of h

∴ 3 = (-1)² + k

∴ 3 = 1 + k ⇒ subtract 1 from both sides

∴ 2 = k

∴ The value of k = 2

- Lets substitute the value of h and k in the vertex form

∴ f(x) = (x - -1)² + 2

∴ f(x) = (x + 1)² + 2

* f(x) = (x + 1)² + 2 in vertex form

5 0

2 years ago