MATHEMATICS HIGH SCHOOL

A box contains bags of crisps. Each bag of crisps weighs 25 grams. Altogether, the bags of crisps inside the box weigh 1 kilogram. How many bags of crisps are inside the box?

Answers

Answer 1
Answer: 1 kilogram = 1,000 grams

1,000 / 25 = 40 bags.

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You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip. Express the total time required to complete the round​ trip, T, as a function of the average velocity on the outgoing​ trip, x.

Answers

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

          420=t_1* x\n\nt_1=(420)/(x)

Distance to vacation place = Time for return trip x average velocity of return trip

          420=t_2* (x-15)\n\nt_2=(420)/((x-15))  

We have total time T = t₁ + t₂

That is

                     T=(420)/(x)+(420)/((x-15))

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.

Which binomial must be added to (4r+10) so that the sum of the two polynomials is (6r-2) ?

Answers

Answer: 2r-12

Step-by-step explanation:

(4r+10)+____=(6r-2)

_____=(6r-2)-(4r+10)

_____=6r-2-4r-10

_____=2r-12

The stairs leading from the ground to the entrance of a plane forms a right triangle with the ground. If the disthe stairs measures 22 feet and the ground distance measures 11 feet, how high is the entrance to the plane
ground? Which diagram represents this scenario?
---
22 ft
22 ft
22 ft

Answers

Answer:

19.05 ft

Step-by-step explanation:

-Given Hypotenuse=22 ft and the base length is 11 feet.

-We apply the Pythagorean theorem to find the height:

h^2+b^2=H^2\n\nh=√(22^2-11^2)\n\n=19.05\ feet

Hence, the stair's height is 19.05 ft

Answer:

19.05

Step-by-step explanation:

What is 2(x + 2) + (x + 5)

Answers

Answer:

3x+9

Step-by-step explanation:

If an iceberg has a mass of 1800 kg and a volume of 19000 m3, what
is its density?

Answers

Answer:

≈0.0947 kg/m^3

Step-by-step explanation:

p = density

m = mass

v = volume

Formula for density :

p = m/v

We know the mass and volume, so we can simply substitute our values into the equation:

p = m/v

p = 1800kg / 19000 m^3

p = ≈0.0947 kg/m^3

Please answer question with explanation

Answers

Answer:

Domain: \{x|x\in\mathbb{R}\}

Range: \{y|y\in\mathbb{R},y\leq -2\}

Step-by-step explanation:

The domain is the span of x-values the graph covers.

The range is the span of y-values the graph covers.

The given graph is a quadratic. We can see that the x-values will extend infinitely in both directions.

Thus, the domain is all real numbers.

In set notation, this is:

\{x|x\in\mathbb{R}\}

From the graph, we can see that the maximum value is y=-2. The graph won't ever go above this.

So, the range is all real numbers less than or equal to -2.

In interval notation, this is:

\{y|y\in\mathbb{R},y\leq -2\}

And we are done :)
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