1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lemur [1.5K]
3 years ago
7

Help ASAP! Find x: 4−x/5 + x+2/3 =6 Thank you!

Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

x=44

Step-by-step explanation:

Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

Mila [183]3 years ago
6 0

Answer: x=44

Step-by-step explanation:<em><u> Pretty straightforward! </u></em>

<em><u> </u></em>

<em><u>4-x/5 +x+2/3=6 </u></em>

<em><u> </u></em>

<em><u>3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3) </u></em>

<em><u> </u></em>

<em><u>12-3x+5x+10=90 (Use Distributive property to multiply across parentheses) </u></em>

<em><u> </u></em>

<em><u>-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side) </u></em>

<em><u> </u></em>

<em><u>2x=88 </u></em>

<em><u> </u></em>

<em><u>x=44 </u></em>

<em><u> </u></em>

<em><u>Thank you for your time!</u></em>

You might be interested in
Write the phrase as a numerical expression; the product of 5 and 7
steposvetlana [31]

Answer: 12 = 7 + 5

Step-by-step explanation:

12 = 7 + 5

8 0
3 years ago
What is the ratio of purple cylinders to total cylinders, there are 7 purple and 1 yellow.
Dominik [7]

Answer:

7:8

Step-by-step explanation:

There are 7 purple cylinders. There are 8 total cylinders (7 purple and 1 yellow). So the ratio is 7:8

3 0
3 years ago
In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
DIA [1.3K]

Answer:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

X_{1}=1642 represent the number of smokers from the sample in 1995

X_{2}=1415 represent the number of smokers from the sample in 2010

n_{1}=4276 sample from 1995

n_{2}=3908 sample from 2010  

p_{1}=\frac{1642}{4276}=0.384 represent the proportion of smokers from the sample in 1995

p_{2}=\frac{1415}{3908}=0.362 represent the proportion of smokers from the sample in 2010

\hat p represent the pooled estimate of p

z would represent the statistic    

p_v represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

The statistic is given by:

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374  

Replacing the info given we got:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0
3 years ago
An initial population of 415
slamgirl [31]

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

3 0
3 years ago
A quote website includes a "Surprise me!" button that randomly selects a quote from its database. For every 4 quotes in the data
Damm [24]

Answer: 4 quotes

3.5 quotes

Step-by-step explanation:

Khan

8 0
2 years ago
Other questions:
  • A square centimeter is the area covered by a square whose sides are 1 meter long
    11·1 answer
  • QUIK!!!!!!!!!!!!amantha has a shelf that is inches wide. How many books can Samantha arrange on the shelf if each book is inches
    13·2 answers
  • 19 is less than 48 by what percentage?
    9·1 answer
  • What’s the area of this figure?
    12·1 answer
  • A six sided die and a standard nickel are tossed. What is the probability that the number of dots on the upper face of the die i
    8·1 answer
  • Write an equivalent expression. ​-2(7+5g)
    15·2 answers
  • I don't what to do<br> Only 1-9
    13·1 answer
  • PLEASE HELP
    9·2 answers
  • PLS HELP ASAP !!! WILL MARK BRAINLIEST !!
    10·2 answers
  • One number is eight less than a second number. Twice the first is 12 more than 4 times the second. Find the numbers.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!