MATHEMATICS HIGH SCHOOL

The ratio of red collars to black collars sold at one store is 9 to 10. In one month 30 black collars were sold. Is 57 a reasonable number for the total number of red and black collars sold that month. Explain

Answers

Answer 1

Answer: Well, yes. If red:black=10 and black=30, then supposedly red=27, with a total of 57.

Answer 2

Answer:

Answer:

Yes, 57 is a reasonable number

Step-by-step explanation:

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A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like algebra or geometry. What are the correct values of a, b, c, d, and e?

a = 16, b = 29, c = 22, d = 30, e = 24

a = 29, b = 16, c = 30, d = 22, e = 24

a = 16, b = 29, c = 24, d = 22, e = 30

a = 29, b = 16, c = 24, d = 30, e = 22

Answers

Let x be the number of students that like both algebra and geometry. Then:

1. 45-x is the number of students that like only algebra;

2. 53-x is the number of students that like only geometry.

You know that 6 students do not like any subject at all and there are 75 students in total. If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75. Therefore,

x+45-x+53-x+6=75.

Solve this equation:

104-x=75,

x=104-75,

x=29.

You get that:

29 students like both subjects;
45-29=16 students like only algebra;
53-29=24 students like only geometry;
24+6=30 students do not like algebra;
16+6=22 students do not like geometry.

The correct choice is D.

It is very easy to find the values for a, b, c, d and e. All you have to do is use the Algebra vs. Geometry table to use the given values to find the rest. Please see attachment to see the table. For example if we want to find e we simply subtract 53 from 75. This way e = 22, then use this to find the next value which will be b.

The answer is:

a = 29, b = 16, c = 24, d = 30 and e = 22

I hope this helps, Regards.

The diameter of the Starbucks venti(large) lid is 3.3 inches. The tall(small) gas a diameter of 2.6 inches. What is the difference in the circumference of the two cups?

Answers

Answer:

0.7π ≈ 2.2 inches

Step-by-step explanation:

The circumference is computed from ...

C = πd

Then the difference in circumferences for two different diameters is ...

$C_2-C_1=\pi d_2-\pi d_1 = \pi(d_2-d_1)\n\n=\pi(3.3-2.6)=0.7\pi \quad\text{inches}$

0.7π ≈ 2.2

The difference in circumference of the two lids is about 2.2 inches.

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. X2 (y Ă˘â‚¬"" 3)2 = 36 x2 (y Ă˘â‚¬"" 5)2 = 6 (x Ă˘â‚¬"" 4)Ă‚Ë› yĂ‚Ë› = 36 (x 6)Ă‚Ë› yĂ‚Ë› = 144 x2 (y 8)2 = 36.

Answers

The general equation of a circle is $(x-h)^2+(y-k)^2=r^2$ . The two options are option(A) and option(E).

Given,

There are five options in which five equation of the circle is given.

We have to find the two equations of the circle which have the diameter of 12 units and its center lies on the y-axis.

The general equation of circle.

the general equation of circle having radius of r units and (h,k) as center of circle is given as,

$(x-h)^2+(y-k)^2=r^2$

We also know that for the center to lie on y-axis, the value of h becomes 0.

So, the equation will be,

$(x)^2+(y-k)^2=r^2$

Now, it is clear from all the options that option(A) option(C) and option(E) has radius of 6 units, so neglecting all the other options.

Clearly, in option(c) the center doesn't lie on the y-axis.

so this can't be the required equation.

Therefore, the two options will be option(A) and option(E).

For more details on equation of circle follow the link:

brainly.com/question/10165274

20 pointsA vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

Use the Line Tool to graph the amount of liquid remaining in the vat at any hour, x.

Answers

Step-by-step explanation:

Let x be the number of hours.

We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

To graph the amount of liquid first of all we will find the equation of line for our given situation.

Since we know that equation of a line in slope-intercept form is: $y=mx+b$ , where, m = slope and b = y-intercept or initial value.

As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.

As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.

Upon substituting our given values in slope-intercept form of equation we will get,

$y=-4x+18$