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2 years ago

A knife is twice the cost of a spoon. 8 spoons and 12 knives cost ?46.08. Work out the cost of 1 knife.

1 answer:

4 0

Let Rs.x and Rs.y be the cost of a knife and a spoon respectively.
From question,
x = 2y --- (1)
and,
12x + 8y = 46.08
=> 12×2y + 8y = 46.08
=> 24y + 8y = 46.08
=> 32y = 46.08
=> y = 46.08/32
=> y = 1.44
putting y = 1.44 in (1)
=> x = 2×1.44
=> x = 2.88
Therefore, cost of a knife is Rs 2.88

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A rectangular Corn Hole area at the recreation center has a width of 5 feet and a length of 10 feet. If a uniform amount is adde

almond37 [142]

1. The formula for calculate the area of a rectangle, is:

A=LxW

A is the area of the rectangle
L is the length of the rectangle.
W is the widht of the rectangle

2. You have that:

-The rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:

L1=10 feet
W1=5 feet

- When a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):

3. The new length is:

L2=L1+x+x
L2=L1+2x
L2=10+2x

4. The new width is:

W2=W1+x+x
W2=W1+2x
W2=5+2x

5. The new area is:

A2=84 feet²

6. Then, you have:

A=LxW
84=(10+2x)(5+2x)

7. When you apply the distributive property, you obtain a quadratic equation:

4x²+30x-34=0

8. You can solve with by applyin the quadratic formula:

x=(-b±√(b^2-4ac))/2a

a=4
b=30
c=-34

9. Then, the answer is:

x=1 feet

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2 years ago

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The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents th

Novay_Z [31]

Answer:

Step-by-step explanation:

I use 84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

y=-25.31428571x+51603.54286

y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

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2 years ago

**60 PTS**

IgorC [24]

A. It is an experiment as the sales director is applying treatment ( the training ) to a group and recording the results.

B. I would have 250 sales representatives from each region take the training and 250 from each region to not take it so i can be able to see if it affects both regions differently. The representatives from each region would be chosen at random and the length of their training would be the same for all.

C. now you would only be able to have 200 people from each region train. this would lower the percentage of the impact the training had on the amount of sales ( if any) . For example, if the original 250 trained people in a region increased the sales in that region by 20 percent and 50 of those people ended up not actually training, the sales would have only increased by 16 percent.

D. correlational research is best to establish causality. for example, the amount of training the representatives got may affect how much they are able to sell. also the number of representatives trained may affect the amount sold

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2 years ago

A professor wants to determine information about the Internet usage of middle school students in one state. A sample of 500 boys

zlopas [31]

The answer is A because a sample of 500 boys and girls from middle schools across the state represents the population.

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2 years ago

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Peter wants to cut a rectangle of size 6x7 into squares with integer sides. What is the smallest number of squares he can get

Semmy [17]

He can cut 5 squares, by making 1 4 × 4, 2 3 × 3 and 2 2 × 2 squares.

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2 years ago