The larger of two numbers is 17 more than twice the smaller. When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6. Find the two numbers

Answers

Answer 1

Answer:

The numbers described here are 39 and 11.

Step-by-step explanation:

Let's call the numbers a and b, a being the larger. We're told two things:

The larger of the two numbers is 17 more than twice the smaller.

Which we can express as:

a = 2b + 17

When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6

And that can be expressed as:

a = 3b + 6

We can now take those two expressions and, noting that they both define a, we can say that they are equivalent, and solve for b:

2b + 17 = 3b + 6

3b - 2b = 17 - 6

b = 11

With b found, we can now take either of the first expressions, and solve for a:

a = 2b + 17

a = 2(11) + 17

a = 22 + 17

a = 39

Now we can check whether that is correct by plugging it into the other expression and seeing if b still comes to 11:

a = 3b + 6

39 = 3b + 6

3b = 33

b = 11

So we know that the answer is correct.


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Can the sides of a triangle have lengths 5, 12, and 17?

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Answer:

well it can have 5 and 12

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Answer:

The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer

Step-by-step explanation:

Mark Me Brainliest Please

what is 3,317.88➗6 equal​

Answers

Answer:

552.98

Step-by-step explanation:

using a calculator

Answer:

It equals 552.98

Step-by-step explanation:

Mr. Brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. He has drawn a sketch on a coordinate grid.
He has the lower vertices of the sign at (9,-3) and (-6, -3). Where would the upper vertices be on the grid?

Answers

Answer:

(9,2) and (-6,2).

Step-by-step explanation:

Rectangular Coordinates

The lower vertices of a rectangular welcome sign in Mr. Brettler's gym are (9,-3) and (-6,-3).

Note these two vertices are 3 units below the x-axis. We know the sign is 5-foot tall, so the y-coordinates of the two upper vertices should be -3+5=2.

The upper vertices of the sign on the grid are (9,2) and (-6,2).

A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
i’ll give brainliest;)

Answers

Answer:

Number of black counters = 5

Step-by-step explanation:

Let,

x be the total number of counters

Number of red counters = [tex]\frac{1}{3}x[/tex]

Number of black counters = [tex]\frac{1}{6}x[/tex]

Number of green counters = 15

Now,

Red counters + Black counters + Green counters = Total counters

[tex]\frac{1}{3}x+\frac{1}{6}x+15=x\\\\\frac{2x+x+90}{6}=x\\\\3x+90 = 6x\\90 = 6x-3x \\90 = 3x\\3x = 90[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{90}{3}\\x=30[/tex]

Number of black counters = [tex]\frac{1}{6}*30[/tex] = 5

Hence,

Number of black counters = 5

Historically, only 35% of applicants for a statistical programming internship at a large pharmaceutical company have previous experience with the necessary software. Assume that applicants are selected at random and interviewed sequentially. What is the probability it takes exactly four interviews to find the first applicant with previous experience

Answers

I need this answer too can someone please help us out with the right answer?!

Explanation:

The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.

What is binomial distribution?

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]

At a big pharmaceutical company, historically, just 35% of applicants for an internship in statistical programming had prior computer software experience. Assume that candidates are chosen at random and questioned one at a time.

p = 0.35

Then the probability is given as,

P = ⁴C₁ x (0.35)¹ x (1 - 0.35)³

P = 0.3845

The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.

More about the binomial distribution link is given below.

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what is 1000×80,000 in stuck on this

Answers

Answer:

80,000,000

Step-by-step explanation:

At a local basketball game, all tickets are the
same price and all souvenirs are the same price.
Mr. Smith bought 2 tickets to this basketball game
and 1 souvenir for a total of $17.25. Ms. Lockhart
bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to
this game?

Answers

A - Mr. Smith

17.25 ÷ 3

= $5.75 ~ $6 Rounded-Off

B - Ms. Lockhart

42 ÷ 7

= $6

Each Ticket Costs approx. $6 Each

A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. By

what percent is the student's estimate off?

Answers

Answer:

She is wrong. Since is .5, you round up to the nearest tenth. So it is 2.0

Step-by-step explanation:

If student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. Then by 4% the student's estimate off

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The container of a student has a volume of 2.5 liters.

She estimates the volume to be 2.4 liters

We need to find the percent of  student's estimate off.

To find this we have to find the difference of 2.5 and 2.4

2.5-2.4=0.1

Now divide zero point one divided by two point five

0.1/2.5

0.04

Multiply with hundred

0.04×100=4%

Hence 4 % is the students estimate off

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Consider the Function

Which function could be the inverse of function f?

Answers

Answer:

Explanation below, despite missing details in question.

Step-by-step explanation:

The function isn't given but we know it's labelled "f".

The inverse of a function (likewise the inverse of any other quantity) is simply the function turned up-side-down.

To invert a function, you switch the places of both numerator and denominator. Example:

f = [tex]\frac{x}{y}[/tex]

the inverse of the function above is y/x

If the function is not in fraction form or doesn't have a visible denominator, take the denominator to be 1.

The denominator of every number or function is 1, so you'll be correct doing this.

If  f = 2n +5  then the inverse of f will be  [tex]\frac{1}{2n + 5}[/tex]

NOTE: Inverse of f  ≡ 1/f  ≡  [tex]f^{-1}[/tex]

Find the missing angle measure (?). Round to the
nearest whole number.
47
24

Answers

Answer:

50 degrees

Step-by-step explanation:

Triangle = 180

180 - 90 = 90

? = 50 degrees

What is the constant rate of change between the two quantities in the table?

Answers

The answer would be B :)

PLEASE HELP!!! 20 POINTS AND WILL MARK BRAINLIEST
[A] state which becomes progressively more and more a unity will cease to be a state at all. Plurality of numbers is natural in a state; and the further it moves away from plurality towards unity, the less of a state it becomes.

Aristotle believed that the citizens of a successful state must

share the same beliefs.
follow the leadership of a dictator.
hold annual elections.
allow for a diversity of opinions.

Answers

Answer:

allow for a diversity of opinions

Step-by-step explanation:

what is negative 56 divided by -7

Answers

the answer is just use a calc lol 8
The answer is negative 8

PLEASE HELP!!! ILL GIVE U 10 POINTS AND BRAINLIEST ​

Answers

Answer: (D) -2x - 8


Step by step

Answer:

D. - 2x - 8

Step-by-step explanation:

Given

-1 /3 ( 6x + 15 ) - 3

= - 1/3 * 6x + ( - 1/3 * 15) - 3

= - 2x - 5 - 3

= - 2x - 8

Hope it will help :)

Pls help me I’ll brainlest for the right answer plssss help I’m failing math grades close today

Answers

Answer:

it decreased by 40%

Step-by-step explanation:

Find the length of the missing side.

Answers

Answer:

5

Step-by-step explanation:

12x12-13x13=b2

144-169=b2

25

[tex]\sq\sqrt25\\[/tex]=5

Please help im cluelessss

Answers

Answer:

The expression can be rewritten by combining like terms such as:

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Step-by-step explanation:

Like term:

We know that like terms are those terms with:

same variablessame exponents

For example,

2x and 4x are the like terms. Both have the same variables and the same power of the variable.

Similarly, 2x³ and 4x³ are like terms. Both have the same variables and the same exponents of the variables.

Please note that the like terms may have different coefficients of the variables.

NOW, REWRITING THE EXPRESSION BY COMBINING LIKE TERMS

Given the expression

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)[/tex]

Here in the parentheses:

2/3y, 1/3y, and 9y are like terms.5 and 7 are like terms.

as

2/3y + 1/3y - 9y = y - 9y = -8y-5-7 = -12

Combining like terms in the parentheses

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

Therefore, the expression can be rewritten by combining like terms such as:

[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]

A research study showed that a sample of 25 dosages from a medicine dispensing machine averaged 24.1 mg of a certain drug. The sample standard deviation was 1.8 mg. a) Form a 99% confidence interval of the population average of drug dosage dispensed. b) Explain what this interval means to someone unfamiliar with this research.

Answers

Answer:

a) The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.

b) It means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

a)

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{1.8}{\sqrt{25}} = 1[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 1 = 23.1 mg

The upper end of the interval is the sample mean added to M. So it is 24.1 + 1 = 25.1 mg

The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.

b)

The interval means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.

HELP ME PLEASE!!!! DUE TODAY!

Answers

Answer:

it is b

Step-by-step explanation:

what is 9*10^97 helppppppppppppppppppppppppppp

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Answer:

9e+97

Step-by-step explanation:

i givvveee brainlilsttttyt

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Answer:

5, -5

Step-by-step explanation:

Answer:

vb cvncv xvc xv xzz xcf gv

Step-by-step explanation:

gh hg ghghbgvnghnk/.kl.ghn nb yhgkuylh89gmndfnuyhfgmdtym bh

last week Pizza Port served 264 vegetarian pizzas out of a total of 792 pizzas based on this data what is the probability that the next pizza or is not a vegetarian pizza A) 2/3 B) 3 C) 3/2 D) 1/3
Can somebody plz help me?​

Answers

Gina surveyed students about their lunch time preference. Out of 50 students, 20 prefer eating lunch at 11:00am, 15 prefer eating at 11:15a.m., 10 prefer eating at 11:30a.m. , and 5 have no preference. Based on the information, what is the probability that a student chosen at random has no lunch time preference?

Compare: (4x10 to the 3rd power) + (2x100) + (3x1/10) ____ (4x1000) + (2x10 to the 2nd power) + (3x1/10)

Answers

Answer:

Take your time to complete the equation. Don't rush. This is very easy you just need to be patient..

Step-by-step explanation:

Solve for x 2x-13=3
X=8
X=-5
X=10
X=-8

Answers

Answer:

X=8

Step-by-step explanation:

2x-13=3     first, add 13 to both sides

2x=16         second, divide by 2 on both sides

x=8             This is the right answer

Gio hiked six miles in two hours. At this rate, what is the total number of miles Gio could hike in nine hours?

Answers

Answer:

27 miles

Step-by-step explanation:

3 mph is rate speed,

3 x 9 = 27 miles

On a 30 question test, Janice answered four-fifths of the questions correctly-
Which of the following is the number of questions she answered correctly?
A.26
B.24
C.38
D.25

Answers

The answer is letter B

PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST

Answers

Answer:

m=-5

Step-by-step explanation:

M=-5 is the slope of this problem. Hope it helps


What is the approximate area of the shaded sector in the circle shown below? 145°
A. 34.6 in2
B. 4.68 in 2
C. 17.3 in2
D. 9.36 in2

Answers

Answer: 17.3 in 2

Step-by-step explanation

The approximate area of the shaded sector is 34.6 in2.

How to calculate the surface area of a composite figure?

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

Angle = 145°

Now,

The area of a sector of a circle is given by the formula A = (θ/360)πr2, where θ is the central angle in degrees and r is the radius of the circle. In this case, θ = 145° and r = 7 in.

Plugging these values into the formula, we get: A = (145/360)π(7)^2. Simplifying, we get: A = 0.4028π(49). Using a calculator, we get: A ≈ 34.6 in2.

Therefore, by the area the answer will be 34.6 in2.

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