16 x 10^12 in standard form

Your budget is to spend no more than $450 on frozen treats.

ikadub [295]

The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let C represent the number of chocolate fudge bars, F represent the number of frozen fruit bars and I represent the number of ice-cream sandwiches

Hence:

0.75C + 0.85I + 0.5F ≤ 450

The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

Find out more on equation at: brainly.com/question/2972832

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4 0

2 years ago

A motorboat travels 105 kilometers in 3 hours going upstream. It travels 165 kilometers going downstream in the same amount of t

Novay_Z [31]

Answer:

Rate in still water = 45 km/h

Rate of the current = 10 km/h.

Step-by-step explanation:

Let the rate of the current be x and rate in still water be y.

So the rate of the boat upstream is y - x and the rate downstream = x + y.

Rate upstream = distance / time

y - x = 105/3 = 35 ...... (1)

Rate downstream:

y + x = 165/3 = 55 .......(2)

Adding (1) + (2):

2y = 90

y = 45 km/h.

Using equation (1):

45 - x = 35

x = 45-35 = 10 km/h.

8 0

3 years ago

PLEASE SOMEONE TELL ME HOW THEY GOT 423 cm AS THE ANSWER FOR A. I NEED HELP WITH THIS QUESTION!!!!!!!!!!!!!

3241004551 [841]

From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.

The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:

$cos(40) = \frac{3.24}{h}$

where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that

$h = \frac{3.24}{cos(40)}$

which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.

6 0

3 years ago

Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is sel

likoan [24]

Answer:

Step-by-step explanation:

Given that Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is selected at random

the probability

(a) The student is enrolled in mathematics= $\frac{110}{450} =0.244\\$