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3 years ago

One-half of the sum of a number and 6 is less than 25. What is the number

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

Answer:

Step-by-step explanation:

1/2(n + 6) < 25 Distribute

1/2n + 3 < 25

- 3 - 3 Subtract 3 from both sides

1/2n < 22 Multiply both sides by 2 or divide by 1/2

n < 44

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Pls help it is urgent .A trader bought a plate for 120 naira and sold it for 168 naira.What is his percentage profit.

telo118 [61]

Answer:

Percentage profit=40%

Step-by-step explanation:

Cost price=120 Naira

Sold price=168 Naira

Profit=Sold price- cost price

=168-120

=48 Naira

Percentage profit=profit/cost price×100

=48/120×100

=0.4×100

=40%

Percentage profit=40%

3 0

3 years ago

You have one type of nut that sells for $2.80/lb and another type of nut that sells for $9.60/lb. You would like to have 20.4 lb

max2010maxim [7]

Answer:11.396Ibs of nuts that cost $9.60/Ib and 9.014Ibs that cost $2.80/Ib

Step-by-step explanation:

First we find the cost of the supposed mixture we are to get by selling it $6.60/Ib which weighs 20.41Ibs

Which is 6.6 x 20.41 = $134.64

Now we label the amount of mixture we want to get with x and y

x = amount of nuts that cost $2.8/Ib

y = amount of nuts that cost $9.6/Ib

Now we know the amount of mixture needed is 20.41Ibs

So x + y = 20.41Ibs

And then since the price of the mixture to be gotten overall is $134.64

We develop an equation with x and y for that same amount

We know the first type of nut is $2.8/Ib

So for x amount we have 2.8x

For the second type of nut that is $9.6/Ib

For y amount we have 9.6y

So adding these to equate to $134.64

2.8x + 9.6y = 134.64

So we have two simultaneous equations

x + y = 20.41 (1)

2.8x + 9.6y = 57.148 (2)

We can solve either using elimination or factorization method

I'm using elimination method

Multiplying the first equation by 2.8 so that the coefficient of x for both equations will be the same

2.8x + 2.8y = 57.148

2.8x + 9.6y = 134.64

Subtracting both equations

-6.8y = -77.492

Dividing both sides by -6.8

y = -77.492/-6.8 =11.396

y = 11.396Ibs which is the amount of nuts that cost $9.6/Ib

Putting y = 11.396 in (1)

x + y = 20.41 (1)

x +11.396 = 20.41

Subtract 11.396 from both sides

x +11.396-11.396 = 20.41-11.396

x = 9.014Ibs which is the amount of nuts that cost $2.8/Ibs

8 0

3 years ago

How much money will she have if she doesn't buy any packs of baseball cards? $16 $18 $19 $20

GrogVix [38]

The amount of money that Carly would have left if she doesn't buy any packs of baseball cards is $20.

<h3>How to calculate the amount of money?</h3>

In order to calculate the amount of money that Carly would have left if she doesn't buy any packs of baseball cards, we would determine the cost of each baseball card as follows:

Let the cost of each baseball card be x.

Let the number of cards bought be n.

Translating the word problem into an algebraic expression, we have;

x - n = 16

x - 2n = 12

Solving the simultaneous equations by elimination, we have:

n = 4

Therefore, Carly's minimum balance is given by:

x - n = 16

x = 16 + n

x = 16 + 4

x = $20.

Read more on word problems here: brainly.com/question/13170908

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<u>Complete Question:</u>

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards. How much money will she have if she doesn't buy any packs of baseball cards?