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2 years ago

What expression is equivalent to 9(3x + 8)? *

Mathematics

2 answers:

Nat2105 [25]2 years ago

8 0

Step-by-step explanation:

This is what it is equal to:

9×3x=27x

9×8=72

Therefore it will be:

$27x + 72$

hope it helps!

vodka [1.7K]2 years ago

6 0

Answer:

27x+72

Step-by-step explanation:

You have to use the distributive property to simplify the expression. Therefore, you have to multiply both terms inside the parentheses.

1. 9*3x=27x

2. 9*8=72

They could not be added together, as they are not like-terms. So, you just write it down as 27x+72.

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How do I find the ratio?

Len [333]

You got it correct!
To get from 52 to 13, you divide by 4. And Vis versa, to get from 13 to 52, you multiply by 4. Considering they don't tell you which is the original, the only answer that is either 4 or 1/4 is F

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3 years ago

At a peanut butter factory, the daily production cost, C, for j jars of peanut butter is modeled by the graph below. What are th

Alexeev081 [22]

1) The graph

The corresponding graph shows a growing curve, its shape is kind of the right half of a parabola that opens upward and starts at the point (0, 2500).

The vertical axis corresponds to C(j), it contains divisions of 2500 units, and are marked 2500, 5000, 7500, 10000, 12500, 15000 and 17500.

The horizontal axis corresponds to j, and the marks are 75, 150, 225, 300, 375, and 450.

2) Domain

Domain is the set of possible values for the independent variable, which is placed on the horizontal axis. This is the possible values of j.

They are all the positive numbers and zero, the the domain is:

All real numbers, j, such that j ≥ 0

3) Range

Range is the set of possible images (dependent variable); this is the possible values of C(j).

As you can see on the graph C(j) ≥ 2500

Then, the range is [2500, ∞).

3 0

3 years ago

Read 2 more answers

Can someone PLEASE hwlp me??

Aliun [14]

Answer:

Step-by-step explanation:

There are 3 red bars

It states we have 24 red notebooks

24/3 = 8

Each bar represents 8 notebooks

We have 5 gold bars

5*8 = 40

We have 40 gold notebooks

5 0

3 years ago

Read 2 more answers

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site

tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for <u>each </u>work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) + cost for working ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y x $24

= $24y (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) + cost for working

= (2 x $45) + $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

8 0

3 years ago

A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi

Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = $\dbinom{4}{2}$ × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = $\dbinom{4}{0}$ × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = $\dbinom{4}{1}$ × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = $\dbinom{4}{2}$ × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0

2 years ago