All categories

2 years ago

You want to spend at most $1200 on a new laptop. If you make a $400 down payment,

Mathematics

1 answer:

mezya [45]2 years ago

8 0

Answer:

12x+400 $\leq$ 1200

Step-by-step explanation:

At most means it has to be the exact number or less. So, the inequality sign would be less than or equal to.

Hope this helps!! c:

You might be interested in

In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will th

Lynna [10]

Answer:

$3.34

Step-by-step explanation:

$1.39 x 2.4 = $3.336

4 0

2 years ago

Read 2 more answers

Please help! Tim and Jane both work at a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the am

patriot [66]

Answer: Jane needs to reduce the price by 20%

Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.

The change proposed by Tim is as follows;

Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;

New weight = 160 + (160 * 25%)

New weight = 160 + (160 * 0.25)

New weight = 160 + 40

New weight = 200

Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost

1 gram = Price / Total grams

1 gram = 3/200

1 gram = 0.015

However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,

1 gram = 0.015

160 grams = 0.015 * 160

160 grams = 2.4

With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6

Therefore, the percentage reduction can be calculated as follows;

% decrease = (0.6/3) * 100

% decrease = (1/5) * 100

% decrease = 20

From the results above, Jane should reduce the price (£3 per 160 g) by 20%.

7 0

3 years ago

The proof for the power property of logarithms appears in the table with an expression missing.

iVinArrow [24]

Answer:

$log_{b}(b^{x r})$

Step-by-step explanation:

A picture of the question is shown in the figure attached. There we can see that the step corresponding to Properties of exponents is the option:

$log_{b}(b^{x r})$

which is equivalent to

$log_{b}((b^{x})^{r})$

7 0

2 years ago

Read 2 more answers

A chemistry professor who teaches a large lecture class surveys his students who attend his class about how he can make the clas

Iteru [2.4K]

Answer:

Step-by-step explanation:

I believe it's Voluntary Response Bias

7 0

2 years ago

He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t

kiruha [24]

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

<span>flight = 96.17 miles per hr</span>

6 0

2 years ago