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Lyrx [107]
2 years ago
6

If 5x – 4 = 31, what is the value of x?​

Mathematics
2 answers:
Lunna [17]2 years ago
7 0

Answer:

x = 5 \frac{2}{5}

Step-by-step explanation:

Hi there!

So, to answer this problem, I'll use the reverse method.

31 - 4 = 27,

So how many times, can 5 go into 27?

The closest factor of 5 to 27 is 25.

5 can go in to 27,  5 times.

Continuing on, there is a 2 left over, so the answer to your question is

x = 5 \frac{2}{5}

5 · 5 \frac{2}{5} - 4 = 31

Let me know if I am incorrect and I will attempt to find the right answer for you.

<em>waffletowne</em>

shusha [124]2 years ago
5 0

\huge\text{Hey there!}

\mathsf{5x - 4 = 31}

\large\textsf{ADD 4 to BOTH SIDES}

\mathsf{5x - 4 + 4 = 31 + 4}

\large\textsf{CANCEL out: -4 + 4 because that gives you 0}

\large\textsf{KEEP: 31 + 4 because that helps you solve for x}

\mathsf{31 + 4 = \bf 35}

\large\textsf{NEW EQUATION: 5x = 35}

\large\textsf{DIVIDE 5 to BOTH SIDES}

\mathsf{\dfrac{5x}{5}=\dfrac{35}{5}}

\large\textsf{KEEP: } \mathsf{\dfrac{35}{5}}\large\textsf{ because that helps you solve for x}

\large\textsf{New EQUATION: }\mathsf{x = \dfrac{35}{5}}

\mathsf{\dfrac{35}{7}= x}

\mathsf{\dfrac{35}{7}=\bf 7}

\boxed{\boxed{\large\textsf{\huge \bf x = 7 }}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. ​(
Vinvika [58]

Answer:

a) P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

b) z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

X \sim N(106,0.3)  

Where \mu=106 and \sigma=0.3

Part a

We are interested on this probability

P(X>106.11)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And using this formula we got:

P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score we got:

z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

6 0
2 years ago
3.x4 - 2x2 + 15.x2<br> Which product Is the factored form of the polynomial
Dmitry_Shevchenko [17]

Answer:

3*4=12

12-2=10

10*2=20

20+15=35

35*2=70

Step-by-step explanation:

4 0
3 years ago
Not really sure how to do this with a negative number
Oksi-84 [34.3K]
1/2*(-1/7) =  - (1*1)/(2*7)= - 1/14

(+)*(-) = (-)

Answer : - 1/14
4 0
3 years ago
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HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS​
Ilya [14]

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

  • 1/2 off means you would multiply the amount by 1/2 then subtract

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

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b. 12 X 3/4 = 9

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— scarf costs 3 days from now = $3

3 0
3 years ago
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devlian [24]

Answer:

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Step-by-step explanation:

a systems of equations can be made from the information on the problem

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x=2y+3

since x= 2y+3 substitute 2y+3 in the firat equation to get:

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plug in 15 for y in the second equation to solve for x

x+15 =48 --> x=33

8 0
2 years ago
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