Write an equation for each of the following phrases or word problems. Solve for the missing variable. a. Two times a number is 16. b. Two plus a number is 28. c. Three is a number divided by 6. d. Samuel is y years old. In 10 years, he will be 27. How old is Samuel? e. A third of a pizza is 400 calories. How many calories in the whole pizza?

Answers

Answer 1

Answer:

2x8=16

2+26=28

he is 17 years old and in ten years he will be 27

Step-by-step explanation:

Answer 2

Answer:

-1200 Calories

-$287 - $175 =$112  

Sanjai was paid $112

Step-by-step explanation:


Related Questions

Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT

Answers

7% is equal to 0.007

The decimal equivalent of 7% is, C. 0.07.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know, Percentages and decimals are related to each other.

Decimals can be converted into percentages by multiplying them by 100

and vice versa.

Given, We have to find the decimal equivalent of 7%.

The decimal equivalent of 7% is,

= 7/100.

= 0.07.

Q. Which of the following is equal to 7%?

A. 7.

B. 0.7.

C. 0.07.

D. 7%.

learn more about percentages here :

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The manager of a restaurant determined that the odds against a customer ordering dessert are 11/12 . What is the probability of a customer ordering dessert?

Answers

Answer:

1 out of 12

Step-by-step explanation:

12-11=1

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%

Answers

Answer:

C. An increase of 20%

Step-by-step explanation:

50/100 = 60/x

Cross products

50 x  =  6000

Divide 50 by both sides

x  =  120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

A number plus it’s opposite is ___ zero. always,sometimes,never

Answers

Answer:

always

Step-by-step explanation:

(x+5) (x+4) give me the answers quick please​

Answers

[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]

[tex] = (x + 5)(x + 4)[/tex]

[tex] = {x}^{2} + 4x + 5x + 20[/tex]

[tex] = {x}^{2} + 9x + 20[/tex]

oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run

Answers

Answer:

10 miles

Step-by-step explanation:

You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.

A population has standard deviation o = 17.2.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.8% confidence interval for u will have a margin of error equal to 3.8?
Round the critical value to no less than three decimal places.
Round the sample size up to the nearest integer.
A sample size of
3.8.
is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to

Answers

Answer:

idk

Step-by-step explanation:

   

People living in a society where one person rules by force have which type of government?

Answers

Answer:

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

All of the following represent the same function except

Answers

All of the aforementioned represent the same function except: C. {(0, 1), (2, 3), (4, 5), (7, 8)}.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

The types of function.

In Mathematics, there are different types of function and these include the following;

Modulus functionSignum functionPeriodic functionInverse functionPiece-wise defined function.Logarithm function

From the first mapping, we can logically deduce the following:

when x = 1, y = 0

y = x - 1

0 = 1 - 1

when x = 3, y = 2

y = x - 1

2 = 3 - 1

when x = 5, y = 4

y = x - 1

4 = 5 - 1

when x = 8, y = 7

y = x - 1

7 = 8 - 1

For the ordered pair, we have:

when x = 0, y = 1

y = x + 1

1 = 0 + 1

when x = 2, y = 3

y = x + 1

3 = 2 + 1

when x = 4, y = 5

y = x + 1

5 = 4 + 1

Therefore, the function for these ordered pairs is equal to y = x + 1.

For the table of value, we have:

when x = 1, y = 0

y = x - 1

0 = 1 - 1

In this context, we can reasonably infer and logically deduce that all of the aforementioned represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)}.

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the set
of whole number less than 20

Answers

Answer:

maybe 3, 6, 9, 12, 15, 18?

Step-by-step explanation:

sorry if this doesn't help but I hope someone else can help you! good luck

Whole numbers less than 20 are 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1. How to know if they are divisible by 3? Add the numbers, and if the sum is divisible by 3.

What is the slope of AB shown in the graph Below? This will help a lot of students.

Answers

Answer:

Its simply undefined

Step-by-step explanation:

The run is 0 so undefined

Express the percent as a decimal. { 98% }

Answers

Answer:

98.

Step-by-step explanation:

Answer:

0.98 would be the 98% as a decimal

Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?

Answers

$30

Work: 45+20=65

          65-35=30

Select the values that correctly complete the problem. a = b = c = d = e =​

Answers

Answer:  2/3 = b/ac = d/e

Step-by-step explanation:

This is all I got if I got it right. Is this one of your answers?

Answer:

a= 2

b=4

c=3

d=2

e=3

Step-by-step explanation:

i hope this helps.

Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2

Answers

Answer:

Step-by-step explanation:

U would 22999+122.3939ading j. Till u wil go to the bathroom

Identify next 3 numbers in this sequence 2,6,3,9,6,18,15

Answers

i know that so far it goes +4, -3, +6, -3, +12, -3, ? i’m not really sure but it COULD be 19, 16, 22?

A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.

Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?

Answers

Answer:

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu  =  \$ 356[/tex]

    The sample  size is n  =  30  

     The sample mean is [tex]\= x = \$340[/tex]

    The standard deviation is  [tex]\sigma =  \$ 90[/tex]

    The  null hypothesis is [tex]H_o  :  \mu =  \$ 35 6[/tex]

     The alternative hypothesis is   [tex]H_a  :  \mu \ne  \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

     [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>  [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=>  [tex]t =-0.9737 [/tex]

Generally the sample size from the question is  small that it is not greater than 30  hence we use t-test

Now the degree of freedom is mathematically represented as

     [tex]df =  n- 1[/tex]

=>   [tex]df =  30- 1[/tex]

=>   [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value =  2 P (t >  -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of  [tex]df= 29[/tex] for a two -tailed  test  is

     [tex]P (t >  -0.9737 ) =  0.33825793[/tex]

Hence p-value  is  

     [tex]p-value =  2*0.33825793[/tex]

      [tex]p-value =  0.676 [/tex]

From the value we obtained we see that  [tex]p-value  >  \alpha[/tex] hence

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

A homogeneous 1300 kg bar AB is supported at either end by a cable. calculate the stress acting in bronze bar in N/mm² if stress should not exceed to 120MPa for steel and the area of the bronze bar and steel bar is 40.05 mm² and 36.33 mm² respectively.​

Answers

Answer:

4553332 is the answer

Step-by-step explanation:

In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc

Answers

Answer:

z= 168

Step-by-step explanation:

proportion zinc to copper = 4/17

4/17 = z/ 714

17 • z = 4 • 714

17 • z = 2856

z= 2856/17

z = 168

Answer:

60

Step-by-step explanation:

The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.

Answers

Answer:

Domain=All Real Numbers Range=y>2

Step-by-step explanation:

Since the graph expands infinitely across the x axis it is all real numbers

Since the Y covers all the numbers above 2 it is y>2

In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.

Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.

Given:critical value= = 2.00

Answers

Answer:

The decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  54

    The sample mean is  [tex]\= x  =  97.4[/tex]

    The standard deviation is  [tex]s = 18.0[/tex]

     The population mean is  [tex]\mu  =  100[/tex]

     The critical value  is  [tex]t_{critical } =  2.0[/tex]

Generally the test statistics is mathematically represented as  

       [tex]t =  \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{ 97.4  - 100}{\frac{ 18}{\sqrt{54} } }[/tex]

=>    [tex]t =-1.062[/tex]

Comparing the obtained t statistics with the critical value we see that

   The  critical value is not within the region of rejection (i.e -1.062 to 1.062  )

Hence the decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

Answers

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

Samuel needs to mail a package to his friend in New York. He places an address label with length represented by the function L(w) = 3x³ + 2x² - 4x + 5 and width represented by the function w(x) = x + 2. Which of the following statements is true about the area of the label? Select all that apply.
1. A(x) = L(x) + w(x)


2. The resulting polynomial for a(x) will be a 4th degree polynomial


3. L(x)=A(x) divided by w(x)


4. The resulting polynomial for A(x) will have a leading coefficient of 6


5. A(x) = L(x) * w(x)

I know what the answers are its B,C,D but i need work showing how I got to that conclusion

Answers

Answer:b and e

Step-by-step explanation:I took the test

If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?

Answers

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A function f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse function is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

HELP MEE ;-;

2/3a - 7= 1/3 Round your answer to the nearest tenth.

Answers

Answer:

a=11

Step-by-step explanation:

Answer:

a = 11

Step-by-step explanation:

PLEASEEEEE HELP

A researcher is interested in determining theeffectiveness of a new medication that may reduce blood sugar levels for individuals who have
diabetes and a higher than average blood sugar level. To determine the effectiveness of the medication, the researcher uses 100 volunteers
who have diabetes. Volunteers are assigned randomly 50 milligrams of the medicine, 100 milligrams of the medicine, or a placebo. Blood sugar
levels are measured at the beginning and end of the study.
Part A: Identify the subjects, treatments, and response variable. (2 points)
Part B: What is the advantage of the random assignment of treatment? (3 points)
Part C: What is an advantage of using a placebo? (3 points)
Part D: What is a disadvantage of using volunteers? (2 points)

Answers

Answer:

A: The subjects are the 100 patients who are being studied. The treatments are the amount and type of medicine they are getting, or whether they are getting a placebo. Lastly the response variable is the blood sauger in the patients at the end of the experiment. 

B: The advantage of the random assignment of treatment is that it reduces the possibility of bias and ensures that the treatments are the only factors that effect the response variable.

C: Using a placebo when experimenting ensures that the treatments are actually the ones causing the change in the response variables, and that the treatments themselves are not using the placebo effect.

D: Using volunteers can cause voluntary response bias. This is when members of the population are allowed to volunteer for an experiment. This could cause the sample used by the experiment to not accurately reflect the population as a whole. 

Step-by-step explanation:

I am not positive that these answers are correct, but I am reasonably sure.

What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?

Answers

Answer:

10p=300+44

Step-by-step explanation:

Answer: 10x = 44 + 300.

Step-by-step explanation: The 10 pieces of artwork will be sold by an x amount of money, should equal the $300 profit plus the $44 expenses.

Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.

How much longer did Sarah practice than Eloise?

Answers

Answer:

34 - 25 = 9

Step-by-step explanation:

guys they meant 2/5 and 3/4...

Can someone help and explain? 4 + 5x - 1

Answers

Answer:

5x+3

Step-by-step explanation:

1.  Subtract 1 from 4

4+5x-1

2. Solution

5x+3


What is the solution to the equation 7,- 5* ++5
-
16
ff - 25?
h = 11
3
h = 5
h = 7
6
21
2

Answers

Answer:

the answer to the problem is h=7

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