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3 years ago

The school lunch prices are changing next year. The cost of a hot lunch will increase $0.45

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

$2.60- $0.45= $2.25 (Two dollars and 25 cents per one hot lunch is the cost of this year's lunch)

Step-by-step explanation:

To solve this word problem, first pin point what the question is asking.

The question wants you to determine the price of a hot lunch this school year.

The price of a hot lunch after the 45 cent raise will be $2.60.

So, based on this info, to solve the word problem you must take away the 45cent raise. $2.60- $0.45 = $2.25

To check if this answer is correct, add 45 cents to the this year cost($2.25) If you get $2.60, then your answer is correct.

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A set of 3 consecutive integers has a sum of 27. which integers are they

Scilla [17]

They are 8, 9 and 10.

5 0

3 years ago

The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000

ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

<em>Find the value of k</em>

For the point (4,2268)

$k=\frac{2,268}{4}=567\ mph$

The slope represent the speed of the airplane

The linear equation is

$y=567x$

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

3 0

3 years ago

Use a proportion if two cassettes cost $14.50 How much will 15 cost

aev [14]

Cost/(number of cassettes) = $14.50/2 = x/15

Multiply by 15 to solve
15*($14.50/2) = x = $108.75

15 cassettes will cost $108.75.

8 0

3 years ago

Without using a calculator, determine the number of real zeros of the function

kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

$f(x) = x^3 + 4x^2 + x - 6$

Expand the function

$f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6$

Reorder the terms

$f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6$

Factor the expression

$f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)$

Factor out x -1

$f(x) = (x^2 + 5x + 6)(x -1)$

Expand

$f(x) = (x^2 + 3x + 2x + 6)(x -1)$

Factorize

$f(x) = [x(x + 3) + 2(x + 3)](x - 1)$

Factor out x + 2

$f(x) = (x + 3)(x + 2)(x- 1)$

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3