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3 years ago

If Jasper installs a floor himself, it will take him 7 hours. Working with Yolanda, it will take them 3 hours.

Mathematics

2 answers:

Svetllana [295]3 years ago

7 0

Answer: 5 $\frac{1}{4}$ hrs

<u>Explanation:</u>

Jasper: $\frac{1}{7}$ per hr

Yolanda: $\frac{1}{x}$ per hr

Together: $\frac{1}{3}$ per hr

Jasper + Yolanda = Together

$\frac{1}{7}$ + $\frac{1}{x}$ = $\frac{1}{3}$

$(21x)\frac{1}{7}$ + $(21x)\frac{1}{x}$ = $(21x)\frac{1}{3}$

3x + 21 = 7x

21 = 4x

$\frac{21}{4}$ = x

$5\frac{1}{4}$

Reil [10]3 years ago

4 0

Answer:

this is the rest of the question

Step-by-step explanation:

If they work together, what is the missing value in the table that represents the part of the floor Jasper will install?

anyone got the answer?

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If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

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Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

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3 years ago

Ice cream sales and the number of shark attacks have a positive correlation. The conclusion that eating ice cream causes shark a

never [62]

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XYZ Corporation operates two plants, each of which has a capacity of 100 units per day. Each day, XYZ must ship their product to

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Answer:

{20, 20, 20, 40} units to {A, B, C, D}
{0, 0, 0, 100}

minimum shipping cost: 3000

Step-by-step explanation:

In general, shipping costs more from Plant 1. The excess costs to ship to customers A, B, C, D are, respectively, (24-18) = 6, (21-16) = 5, (19-19) = 0, (18-10) = 8.

The greatest excess cost is for shipping to customer D from plant 1, so we want to ship as many units as possible to customer D from plant 2.

Shipments from Plant 2 to Customers {A, B, C, D} = {0, 0, 0, 100}.

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Shipments from Plant 1 to Customers {A, B, C, D} = {20, 20, 20, 40}.

The amount spent on shipping each day is ...

100×10 +20×24 +20×21 +20×19 +40×18

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