Mathematics College

Bob sells hats and scarves.

At the start of the day, he has : hats : scarves = 4 : 3
During the day he sells 25 hats.
At the end of the day, he has: hats : scarves = 7 : 9

How many scarves does Bob have in his store

Answers

Answer 1
We define variables:
 x: number of hats
 y: number of scarves
 We have the following equations:
 x / y = 4/3
 x-25 / y = 7/9
 Solving the system of equations we have
 x = 60
 y = 45
 Answer:
 Bob has 45 scarves in his store

Related Questions

2, 3, 6, 8, . . . is an example of an infinite alternating series. True False

Answers

Answer: False.

Explanation: An alternating series is on in which the alternate terms are negative & positive.
Example, 1/2 − 1/4 + 1/8 − 1/16 + ⋯  is an alternating series.

but here, in the given series - all numbers are positive . Hence, it is not an infinite alternating series.

Answer:

false

Step-by-step explanation:

took the test

Which of the following graphs matches the circle defined by this equation ? (X+2)^2+(y-4)^2=9

Answers

Center (2,4)
Radius :3

This equation represents the circle having a radius of 3 units and a center situated at (-2, 4). Hence, graph D is correct.

Use the concept of a circle defined as:

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent.

A circle is also known as the location of points that are evenly spaced apart from the center.

The radius of a circle is measured from the center to the edge.

The given equation of a circle is:

(X+2)²+(y-4)²= 9

Since we know that,

The general equation of the circle is,

(x-a)²+(y-b)²= r²

Where (a, b) is the center of the circle

r is the radius of the circle.

Now compare with the given equation we have,

(a, b) = (-2, 4)

And radius r² = 9

Then r = 3

Then this circle has a radius of 3 units and a center situated at (-2, 4).

Hence,

Graph D is correct.

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The complete question is:

Which of the following graphs matches the circle defined by this equation? (x-a)²+(y-b)²= r²

I Need help please cmon

Answers

there are 3 "x" above the 3/4 mark, meaning there are 3 buttons that are 3/4 of an inch, now if she lines them up, what is their length total?

[tex]\bf \cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}\implies \cfrac{3+3+3}{4}\implies \cfrac{9}{4}\implies 2\frac{1}{4}[/tex]

When changes in one variable are usually accompanied by changes in the same direction in another variable?

Answers

when change in one variable is accompanied by the change of another variable in the same direction, they are directly proportional to each other, and it is usually represented by the general equation, y = kx where k is a constant.

PLZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP!

Using similarity solve for x. Show all work.

Answers

we know that
see the attached figure with letters 

applying the Pythagorean theorem

in the triangle ABE
BE²=x²-9²------------> equation 1

in the triangle ABD
BD²=(16+9)²-x²--------> BD²=25²-x²-----------> equation 2

in the triangle BED
BD²=(BE)²+16²--------------> equation 3

I substitute 1 and 2 in 3
25²-x²=x²-9²+16²------> 25²+9²-16²=2x²-------> 2x²=450--------> x²=225
x=√225--------> x=15 cm

the answer is x=15 cm


The enrollment in college a may be modeled by y = 0.051x + 0.470, and the enrollment in college b may be modeled by y = –0.041x + 1.850, where x is the number of years since 1990 and y is the enrollment in thousands. when will the two colleges have the same enrollment and what is that enrollment?

Answers

The first equation represents the enrollments of college A
The second equation represents the enrollments of college B
if you let two equation equal to each other, you can understand them as the enrollments of college A and college B at "x" year.

0.051x + 0.470 = -0.041x + 1.850
0.051x + 0.041x = 1.850 - 0.470
0.092x = 1.38
x = 1.38/0.092 = 15 years from 1990, 1990 + 15 = 2005 
both equations represents the enrollments, but for specific the year of 2005, they have the same enrollments. You can either plug 2005 in the first or second equation, the answer will come out the same.
y = 0.051(2005) + 0.470 = 102.745 thousands of enrollments. It's awkward to say it this way, you can multiply 102.745 by 1000.
==> 102.725 * 1000 = 102725 enrollements 
===================================================================
The year of 2005 college A and college B both have the same enrollments of 102725.  

In year 2005, both the colleges have same enrollments and the total number of enrollments are 1235 students.

What is Two Variable linear Equation?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Here, given relation between enrollment year and total number of enrollment

y = 0.051x + 0.470 ..............(i)

y = -0.041x + 1.850 ................(ii)

On comapring eq. (i) and eq. (ii), we get

0.051x + 0.470 = -0.041x + 1.850

0.051x + 0.041x = 1.850 - 0.470

0.092x = 1.380

x = 1.380 / 0.092

x = 15

put the value of x in equation (i), we get

y = 1235

Thus, In year 2005, both the colleges have same enrollments and the total number of enrollments are 1235 students.

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Express the confidence interval (0.070, 0.126) in the form of

Answers

Express the confidence interval (0.070, 0.126) in the form of p-E
Solution 1
Let's find E
2E=(0.126-0.070)
E=(0.126-0.070)/2
E=0.056/2
E=0.028
Solution 2
Let's find U
u=(0.126+0.070)/2
u=0.196/2
u=0.098
Then:
CI=(u-E < p < u+E)
Replace the number according to the formula
CI=(0.098-0.028 < p < 0.098+0.028)

Read the line of poetry:


And the dish ran away with the spoon.


This line is an example of what term?


A.
alliteration

B.
personification

C.
onomatopoeia

D.
imagery

Please help I AM SO SCARED IF I FAIL THIS...

Answers

I know it is b I had this I had this question before

the dimensions of a porch are 16 feet long by 12 feet wide use the scale 1 inch=4 feet what is the width and length in inches

Answers

Hi there!

Since the scale is 1 in = 4 ft, we divide both the length and width by 4 to get the new length and width with the scale factor applied. 

16 / 4 = 4
12 / 4 = 3

So, the
length = 4
width = 3

Hope this helps!

Pietro buys 20 candy bars for $6 he plans to sell all 20 candy bars in 1 day he need to make a profit of $10 per day to meet his fundraising goal how much must he charge for each candy bar?

Answers

He would have to charge 80 cents per candy bar!

a small bunch of flowers costs $5 and a large bunch costs $20. what fraction of the cost of the large bunch is the small bunch

Answers

The cost of large bunch is 1/4th of the small bunch......

Hope it's helpful.....

Which expression is an equivalent expression of 12x + 10 + 4y? 2(6x + 2y + 6) 3(4x + y + 10) 2(6x + 4y + 8) 2(6x + 5 + 2y)

Answers

12x + 10 + 4y is equivalent to
2(6x + 5 + 2y).

This is because
2(6x + 5 + 2y) =
2 * 6x + 2 * 5 + 2 * 2y =
12x + 10 + 4y
12x + 10 + 4y= 2(6x + 5 + 2y)

Multiply it out
=2(6x + 5 + 2y)
distribute 2 to every term in parentheses
=(2*6x) + (2*5) + (2*2y)
=12x + 10 + 4y

ANSWER: Last choice 2(6x + 5 + 2y)

Hope this helps! :)

The table below shows the total cost for purchasing a certain number of equally-priced concert tickets. Total cost (in dollars) Number of concert tickets. the total costs in dollars are 110 275 440. the number in concert tickets are 2, 5, 8 Write an equation to describe the relationship between the total cost in dollars (c), and the number of tickets purchased (t),

Answers

Answer:

c = 55t

Step-by-step explanation:

Since there are no handling fees and the price of tickets is constant, we know the cost will be proportional to the number of tickets purchased. The generic form of an equation expressing a proportional relationship between cost (c) and number of tickets (t) is ...

c = kt

where k is the constant of proportionality (the cost per ticket). We can find k by using any of the data points given in the table. Using the first point, we have ...

110 = k·2

110/2 = k = 55 . . . . . divide by 2

Then using this value for k, the desired equation can be written ...

c = 55t

"If you share 7 apples equally with 3 people, then there are 2 1/3

Answers

APPLES TO EACH PERSON (if that was a fill in the blank)

Answer:

Part A

"If you share 7 apples equally with 3 people, then there are  

2  1/ 3  ..."

First, complete the sentence. Then, briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem.

Step-by-step explanation:

here is the full question just say answer by commenting

The angle a vector makes with the x-axis of a coordinate system must be what size in order to make one or more of its components negative? A) Less the 30 degrees B) between 30 and 60 degrees C) between 61 and 90 degrees D) greater then 90 degrees

Answers

D) greater than 90 degrees

_____
An angle greater than 90 degrees will put it in the second quadrant, where the x-component is negative.

Answer:

Greater than 90 degrees.

Step-by-step explanation:

Let a vector R make angle [tex]\theta[/tex] with the x-axis. Then, the component along the x-axis would be

[tex]R cos\theta[/tex]

Component along y-axis would be

[tex]R sin\theta[/tex]

For [tex]0<\theta<90[/tex] both the components will be positive and lie in the first quadrant. If angle of vector is more than 90 degrees, one of the components would be negative. For example, angle between 90 to 180 degrees, x-component would be negative while between 180-270 degrees, both the components would be negative.

Why is partitioning a directed line segment with a ratio of 1:2 not the same as finding half the length of the directed line segment

Answers

The ratio would need to be 1:1 in order to split the line in half. Think of it like having two cookies. If you split those cookies between you and your friend, then you get 1 and s/he gets the other. So the ratio of your cookie count to your friend's count is 1:1

With the ratio 1:2, you would have 1 cookie while your friend has 2 cookies. This is no longer a fair split. Things are not 50/50 anymore. You have 1/3 of the cookies while your friend has 2/3 of the cookies. Your friend would have twice as much.

So that applies to the segment lengths as well. The line segment would be split up into two parts A and B. Part A is the smaller segment that is half as long as part B. Or put another way, part B is twice as long as part A

Answer:

Sample response: A ratio of 1:2 means that there are 3 parts in total. One part will be before the desired point, and 2 parts will be after the desired point. This is the same as finding the point that is 1/3 the length. Half the length of the segment would mean there would only be two pieces, each of equal size.

Step-by-step explanation:

A particle moves along the x-axis in such a way that its velocity at any time t > 0 is given by v(t)=3t^2-4t-4. the particl's position x(t) has a value of 1 when t=1

Answers

what's the question here?

The enrollment in college A may be modeled by y = 0.046x + 0.570, and the enrollment in college B may be modeled by y = –0.036x + 2.702, where x is the number of years since 1990 and y is the enrollment in thousands. When will the two colleges have the same enrollment and what is that enrollment?  
 In 1974, both colleges had an enrollment of 1,766 students.
   In 2016, both colleges will have an enrollment of 1,766 students.
   In 2012, both colleges will have an enrollment of 1,122 students.
   In 1992, both colleges had an enrollment of 1,600 students.

Answers

You want to know when both colleges have the same enrollment. "When" is a time thing so you are going to be solving for x. The number of students is the same and that means you will be solving for y.

Since both ys are equal, you can equate the right side of each equation to each other.

0.046 x + 0.570 = - 0.036x + 2.702 There are a number of ways to go on. The easiest is to dig out your calculator. Add 0.036x to both sides.
0.046x + 0.036x + 0.570 = 2.702
0.082x + 0.570 = 2.702    Now subtract 0.570 from both sides.
0.082x = 2.702 - 0.570
0.082x = 2.132 Divide by 0.084
x = 2.132 / 0.082
x = 26 which means you add 26 onto 1990. The year this took place was 2016 
x = 2016 (That's the year there was equality in enrollment). The second one is the only year that gives 2016 as an answer. So you don't have to find y. But we'll do it anyway. 

Now you have to solve for y
y = 0.046x +0.57 put 26 in for x
y = 0.046 * 26 + 0.570
y = 1.196 + 0.570
y = 1.766 enrollment numbers were equal, but this is in thousands.
y = 1766 enrollment in actual numbers of students.


Second choice <<<<<===== answer.

Answer:

In 2016, both colleges will have an enrollment of 1,766 students.

Step-by-step explanation:

gradpoint

Find the equation of the line that has these features: slope, m=-6/5 passes through the point (-5,10)

Answers

we know that

the equation of the line is 
y-y1=m(x-x1)
then
m=-6/5 passes through the point (-5,10)
y-10=(-6/5)*(x+5)-------> y-10=(-6x/5)-6------------> y=(-6x/5)+4---------> y=-1.2x+4

see the attached figure

the answer is
y=-1.2x+4

Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C? Enter your answer in the box
https://static.k12.com/nextgen_media/assets/8120449-SUM_CR_GMT_SemB_06_UC_DP100_864_003.jpg

Answers

1. The sum of the opposite angles of the quadrilateral ABCD that is inscribed in the circle, is 180°. Therefore, the sum of all the angles is 360°.

 2. As you can see, m∠B=(2x-1)° and m∠D=(3x-59)° are opposite angles, then:

 m∠B+m∠D=180°

 3. When you substitute the values of m∠B and m∠D into m∠B+m∠D=180°, you obtain:

 m∠B+m∠D=180°
 (2x-1)+(3x-59)=180°

 4. You must clear the "x", as below:

 (2x-1)+(3x-59)=180°
 5x-60=180
 x=48°

 5. Now, you can find the value of m∠A, m∠B and m∠D:

 m∠A=2x+4
 m∠A=2(48)+4
 m∠A=100°

 m∠B=2x-1
 m∠B=2(48)-1
 m∠B=95°

 m∠D=3x-59
 m∠D=3(48)-59
 m∠D=85°

 6. Therefore, the value of m∠C is:

 m∠A+m∠B+m∠C+m∠D=360°
 m∠C=360-m∠A-m∠B-m∠D
 m∠C=360°-100°-95°-85°
 m∠C=80°

 What is the measure of angle C?

 The answer is: 80°

ABCD and JKLM are similar rectangles. What is the perimeter of JKLM?

21 m

22 m

24 m

28 m

Answers

SCale factor is ML/DC = 6/4 = 3/2

So multiply AD by 3/2 to find the length of JM . The length would be 3*3/2=9/2

Next find the perimeter of JKML. It would be 2(9/2+6)=21

Answer:

Step-by-step explanation:

21

Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If Philadelphia and Pittsburgh are 305 miles apart how long will it take rich and Michelle to meet?

Answers

Answer:

  2 7/27 hours, about 2 hours 15 minutes, 33 seconds

Step-by-step explanation:

You want to know how long it takes for Rich and Michelle to meet if they start 305 miles apart and are driving toward each other. Rich is driving 70 mph, and Michelle is driving 65 mph.

Closing speed

The speed at which they are moving toward each other is ...

  70 mph + 65 mph = 135 mph

Meeting time

That means they will reduce their separation distance to zero after ...

  time = distance / speed

  time = (305 mi)/(135 mi/h) = 2 7/27 h

It will take 2 7/27 hours, about 2.26 hours, for Rich and Michelle to meet.

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Fawn plants 2/3 of the garden with vegetables. Her son plants the remainder of the garden. He decides to use 1/2 of his space to plant flowers and in the rest he plants herbs. What fraction of the entire garden is planted in flowers?

Answers

1/6th because he used half of a whole part. You just multiply the fraction by 2 and count how many parts are flowers in the whole garden afterward :) 

Drawing it out helps too! Good luck!

If r = 1, s = 2, and t = 3, what value do you expect y will have?

Answers

um the y=8???????????

The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30. There is a % chance that more than 250 books were borrowed in a week. ©

Answers

Answer:

2.28%

Step-by-step explanation:

Let X be the  number of books borrowed from a library each week

Given that X is normal with mean = 190 and std dev = 30

Thus Z score would be

Z=[tex]\frac{x-190}{30}[/tex]

Required probability or chance = P(X>250)

=P([tex]z>\frac{250-190}{30}[/tex]

=P(Z>2)

=0.5-0.4772

=0.0228

=2.28%

Answer:

2.5 for plato

Step-by-step explanation:

#platolivesmatter

someone help me on this question please

Answers

The proportion
  peanuts : raisins : chocolate chips = 4 : 6 : 2
tells you that peanuts make up
  4/(4+6+2) = 1/3
of the total quantity of the mix.

The quantity of peanuts required is (1/3)*(48 ounces) = 16 ounces (or 1 pound).

_____
In the 48 ounces of mix, 1 part = 4 ounces.

bob started mowing at 9:55 am .It took him 25 minutes to mow the front yard and 45 minutes to mow back yard.at what did bob finish mowing?

Answers

Knowing that an hour has 60 minutes, add 25 minutes to 9:55 to get 10:20. Another way to think of this is by adding 25 to 55 to the base of 60. Assuming that he only had to mow the front and back yard, add 45 minutes to 10:20 to get your final answer.
The final answer should be: 11:05 am.
11:05 is the correct answer


Find the value of x. The diagram is not to scale.

A. x=70
B. None of these
C. x=20
D. x=16

Answers

My best guess would be B. None of these
For this case, the first thing to do is to observe that we are in the presence of an isosceles triangle.
 We then have two equal sides:
 RS = ST
 Thus,
 Angle R = Angle T
 Then, we have the following equation:
 5x = 180- (5x-20)
 From here, we clear the value of x:
 5x = -5x + 180 + 20
 10x = 200
 x = 200/10
 x = 20
 Answer:
 the value of x is: 
 C. x = 20

is this correct....help me with the 2 questions

Answers

Yes I believe that these are correct

Zach has 53 flowers to plant. he wants to plant them in groups of 10s and 1s. zach can plant 10 flowers in each flower box. He can plant 1 flower in each pot. Zach only wants to plant a group of ten flowers in each box. Is there any way that zach could plant all 53 flowers using boxes only? Explain your answer.

Answers

No, he can not use boxes only

Solution:

we are given that

Zach has 53 flowers to plant.

He wants to plant them in groups of 10s and 1s.

zach can plant 10 flowers in each flower box.

Zach only wants to plant a group of ten flowers in each box.

We have been asked to find  Is there any way that zach could plant all 53 flowers using boxes only?

since zach can plant 10 flowers in each flower box. so in 5 boxes he can plant

50 flowers.

Now we have 3 left. These 3 can be planted in pot.

But he wants to use boxes only with 10 flowers in each box.

So its not possible to plant all 53 flowers using boxes only.


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The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?Door 1: 10 ftDoor 2: 3 square root 10ftDoor 3: 6 square root 2ftDoor 4: 12ft Create a 5th polynomial with four terms in standard form Bryan is paid $32 per hour and works 8 hours per day. He receives one paid day off for each 16 days that he works. What is his true hourly wage? A.$40 per hour B.$34 per hour C.$32 per hour D.$48 per hour ________ is acute or chronic pain that occurs because of a tumor, arthritis, or an hnp. What event FIRST motivated Americans' interest in space exploration? A)The Soviet Union threatened to bomb the United States. B)School programs began teaching about space exploration. C)NASA was created to aid in space research and exploration. D)The Soviet Union successfully launched the first satellite, Sputnik, into space. Hey all, Jay here. Just wondering what are the two main natural hazards? Regards Jay... Please help me out! :) A bowl of fruit contains 3 apples, 4 bananas, 2 pears and 1 orange.Aminata chooses one piece of fruit at random.What is the probability that she chooses. Which of the following has a tone that is most appropriate for an argumentative paper? If only we could peer into the mind of the scientist behind this article, we might have a clue what it means. The recent research on the role of good bacteria is fascinating, despite the contradictory findings. The article is confusing, poorly-written, and just plain wrong, in spite of some really amazing results. With findings like these, it's a miracle anyone ever pays attention to scientific journals. What type of stress is caused by two plates sliding past one another? Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by _______________. By CPCTC, angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which phrase best completes the student's proof? Patient lt has been diagnosed with schizophrenia. lt frequently hears voices that tell him what to do. at other times, he hears music that no one else seems to hear. lt's hallucinations might be due to over activity in which part of the brain? occipital lobe temporal lobe hypothalamus amygdala pons frontal lobe Jim is arrested for Burglary on January 15, 2011.The judge orders him to serve two years in jail. in 2013 he is released. He is arrested again and put back in jail for his Burglary on January 15 2011 this is violation of what amendment? can someone please help me i got stuck in this question A change in the gene pool of a population over time is called adaptation natural selection evolution survival of the fittest Compare and contrast inbreeding and hybridization Both state governments and t federal government have the power What is the value of the expression shown below?3 + (2 + 8)^2 4 1 over 2 to the power of 4 (4 points)4 and 1 over 324 and 9 over 166 and 1 over 86 and 1 over 32 What is the mass, in grams, of 7.201020 molecules of caffeine, c8h10n4o2? How do mental and emotional illnesses affect social health? Check all that apply. They can cause a person to neglect relationships. They can lead people to choose unhealthy relationships. They can make people forget to practice appropriate hygiene. They can influence people to neglect their physical health. They can motivate people to engage in risky behaviors.