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Soloha48 [4]
3 years ago
12

In part a, you determined that you can make 40 servings from five packages of buns and four packages of hot dogs without anythin

g left over. this means that you can also make 80, 120, 160, and so forth, servings without anything left over. these numbers are called multiples of 40.you need to find the smallest integer multiple of 40 that is greater than or equal to 700. then, use this to determine the number of packages of buns and hot dogs.
Mathematics
1 answer:
pentagon [3]3 years ago
7 0

ceiling(700/40) = ceiling(17.5) = 18 . . . . ceiling(x) is the smallest integer ≥ x.

The smallest integer multiple of 40 that is larger than 700 is 18.

The number of packages of buns will be 18*5 = 90.

The number of packages of hotdogs will be 18*4 = 72.

_____

These numbers will ensure that you have 20 bun/hotdog combinations left over. If you want to minimize leftovers, you would use 88 packages of buns and 70 packages of hotdogs. That would give you 4 buns and no hotdogs left over.

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How to solve the system of equations that answers as all real numbers?
bija089 [108]

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If you solve using substitution or elimination, the variable will cancel out on both sides and you will be left with a number equal to a number.  If "number = number" is a TRUE statement, then the solution is ALL Real Numbers.  <em>If it is a FALSE statement, then you will have NO solutions.</em>

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5 0
2 years ago
Here is a diagram and its corresponding equation.
makvit [3.9K]
X= 3/2 like the fraction 3 over 2
8 0
2 years ago
Read 2 more answers
A private jet can fly 1,095 miles in 3 hours with a tailwind but only 987 miles in 3 hours into a headwind find the speed of the
Verizon [17]

Answer:

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

Step-by-step explanation:

We have the following:

x = the speed of the jet in still air.

y = the speed of the wind

we know that the speed is equal to:

v = d / t

therefore the distance would be:

d = v * t

if we replace with the information of the exercise we have:

3 * (x + y) = 1095

3 * (x - y) = 987

we must solve this system of equations, add both equations and we are left:

3 * x + 3 * y = 1095

3 * x - 3 * y = 987

3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987

6 * x = 2082

x = 2082/6 = 347

now to calculate y, we replace:

3 * (347 + y) = 1095

1041 + 3 * y = 1095

3 * y = 1095 - 1041

y = 54/3 = 18

The speed of the jet is 347 mph and the  speed of the wind is 18 mph.

8 0
3 years ago
Degree 3 polynomial with zeros -7, 3i, and -3i
d1i1m1o1n [39]

A polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

In this question, we need to find the polynomial whose degree is 3 polynomial and zeros are -7, 3i, and -3i

The zeros of the required polynomial = -7, 3i, and -3i

This means, the roots of the polynomial = (x + 7), (x - 3i) and (x + 3i)

We know that in complex numbers, i = √-1

So, 3i = 3√-1

          = √-9

i.e., the roots of the polynomial are (x + 7), (x - √-9) and (x + √-9)

And the polynomial would be,

(x + 7)(x - √-9)(x + √-9)

= (x + 7)(x² - (√-9)²)

= (x + 7)(x² - (-9))

= (x + 7)(x² + 9)

=  x³+ 7x² - 9x - 63

Therefore, a polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

Learn more about the polynomial here:

brainly.com/question/14344049

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4 0
1 year ago
Paul leaves for school at 7:25 am he returned home at 3:15 pm how long was paul away from home?
pshichka [43]

Answer:

8 hours 10 minutes

I hope this answers your question

3 0
3 years ago
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