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2 years ago

Which expression is equivalent to 4(2.1+3.1)-2(1.4)?

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

6 0

Answer:

We need to just focus on first adding up the two numbers inside of the first parenthesis to see if we get our answer.

$4(2.1 + 3.1) - 2(1.4)$

$4(5.2) - 2(1.4)$

This proves that option B is a solution and since we can only choose one option that means that we have our answer.

Hope this helps! Let me know if you have any questions

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Multiply and simplify

sleet_krkn [62]

Answer:

$\Huge\boxed{2x^3+5x^2-7x+20}$

Step-by-step explanation:

$\text{Use FOIL:}\\\\(a+b)(c+d)=ac+ad+bc+bd$

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3 years ago

Write an absolute value for all real numbers at least 3 units from -2

guajiro [1.7K]

{xi,...}|3|≥xsomething like this

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3 years ago

What is the smallest number that can divide into 6 and 3 evenly?

jok3333 [9.3K]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/

SVEN [57.7K]

Given $p,q>0$ and $\log_9p=\log_{12}q=\log_{16}(p+q)=x$ (say).

Then,

$p=9^x\\ q=12^x\\ p+q=16^x$

From the above 3 equations,

$\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\$

From the equations, we get

$\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}$

Since $p,q>0$ , the negative value is rejected.

$\frac{q}{p}=\frac{1 + \sqrt{5}}{2}$

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4 years ago

An aircraft seam requires 22 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are d

SpyIntel [72]

Answer:

Part A:

$p=0.0095$

Part B:

$p=0.0043$

Step-by-step explanation:

Part A:

The number of rivets=22 rivets

Probability that no rivet is defective= (1-p)^22

The probability that at least one rivet is defective=1-(1-p)^22

For 19% of all seams need reworking, probability that a rivet is defective is given by:

$1-(1-p)^{22}=0.19$

$(1-p)^{22}=0.81\\p=1-\sqrt[22]{0.81} \\p=0.0095$

Part B:

For 9% of all seams need reworking, probability of a defective rivet is:

$1-(1-p)^{22}=0.09\\p=1-\sqrt[22]{0.91} \\p=0.0043$

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3 years ago