The average of the weights of six people sitting in a boar is 145 pounds. After a seventh person gets into the boat, the average of the weights of all seven people in the boat is 147 pounds. What is the weights ( in pounds ) of the seventh person ?a) 160, b) 159, c) 155, d) 149, e) 147

Answers

Answer 1

Answer: Weight :

⇒ x for 6 people
⇒ y for the 7th person

$x/6=145 \n (x+y)/6=147 \n \n x=145*6 \n x=870 \n \n x+y=1029 \n \n 870+y=1029 \n y=1029-870 \n y=159$

The correct answer is B).

Answer 2

Answer: x - weight of six people
y - weight of 7th person

$(x)/(6)=145\n (x+y)/(7)=147\n\n x=870\n x+y=1029\n\n 870+y=1029\n y=159\ lb\Rightarrow B$

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A customer buys five cans of baked beans, four pocket of brown sugar and two pockets from the supermarket. He gives the cashier 150 and gets 26 in change, a can of baked beans costs half as much as pocket of biscuits whilst a packet of sugar is three rand cheaper than a packet of biscuits.1. how much did all items cost
2. calculate the cost of a can of baked beans, sugar, and biscuits
3. How much will eight cans of baked beans, one packet of sugar and six pockets of biscuits cost?

Answers

The question has 3 unknowns thus we need three equations to fully solve the problem.
We let x = the price of a can of baked beans, y = the price of a packet of sugar and z = the price of a packet of biscuit
From the given, we generate the following equations;
<1> 5x+4y+2z = Amount spent = 150-26 = 124
<2> z = 2x
<3> y = z -3
We use equation 2 and 3 to substitute to equation 1 in order to obtain the value of x.
5x + 4 (2x - 3) + 2(2x) = 124
5x + 8x - 12 + 4x = 124
17x = 136
x = 8 (price of a can of baked beans)
y= (2 x 8) - 3 = 13 (price of a packet of sugar)
z= 2 x 8 = 16 (price of a pocket of biscuit)

For the new set of conditions,
8x + y + 6z = (8 x 8) + 13 +(6 x 16) = 173 (Cost for the new set of conditions)

let's make b the can of baked beans.

Then biscuits are twice its prize, 2b.

s, the packet of sugar is 2b-3 - thre rand cheaper than a packet of biscuits.

1) the custommer bought:
buys five cans of baked beans, four pocket of brown sugar and two pockets

5b+4* (2b-3)+2*2b

now we calculate:

5b+4* (2b-3)+2*2b=5b+8b-12+4b=13b-12+4b=17b-12

this is equal to 150-26=124

so 17b-12=124
17b=136
b=8
So the beans cost 8, biscuits cost 8*2=16, and sugar 16-3=13
2) this would be:
8+13+16=21+16=37
3)This would be:

8*8+13+6*16=64+13+96=173

Can someone explain and answer this for me??

Answers

The mistake is in line 2, the parenthesis means multiplication therefore it has to be 3x

Mrs.Prescott has 12 oranges. She puts 2 oranges in each bag. How many bags does she have?

Answers

She has 10 oranges in the bag.

True or False: The four regions into which a coordinate plane are divided are called quadrants.

Answers

true i’m pretty sure

Answer:

True

Step-by-step explanation:

It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the function is equal to 12 when the independent variable is equal to 2.

Answers

Answer:

$y=(24)/(x)$

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.

We know that two inversely proportional quantities are in form $y=(k)/(x)$ , where y is inversely proportional to x and k is constant of variation.

Upon substituting $y=12$ and $x=2$ in above equation, we will get:

$12=(k)/(2)$

Let us solve for constant of variation.

$12\cdot 2=(k)/(2)\cdot 2$

$24=k$

Now, we will substitute $k=12$ in inversely proportion equation as:

$y=(24)/(x)$

Therefore, the formula for the given scenario would be $y=(24)/(x)$ .

The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?