Mathematics College

solve the proportion
[tex] \frac{3}{4} = \frac{x}{6} [/tex]

Answers

Answer 1
To solve a problem like this, you can use a method called cross-multiplying. This is when you multiply the denominator of the first fraction by the numerator of the other and then multiply the two remaining numbers.

[tex] \frac{3}{4} = \frac{x}{6} [/tex]   Multiply 3 by 6 and multiply 4 by x.
4x = 18   Divide by 4.
x = [tex] \frac{18}{4} [/tex]   Simplify!
x = [tex] \frac{9}{2} [/tex]

You can check this by comparing the fractions with [tex] \frac{9}{2} [/tex] in the place of x.

[tex] \frac{3}{4} = \frac{ \frac{9}{2} }{6} [/tex] Divide [tex] \frac{9}{2} [/tex] by 6 ( [tex] \frac{9}{2} [/tex] times [tex] \frac{1}{6} [/tex]).
[tex] \frac{3}{4} = \frac{9}{12} [/tex]   Simplify!
[tex] \frac{3}{4} = \frac{3}{4} [/tex]

The fractions are equal, so x = [tex] \frac{9}{2} [/tex] .

Related Questions

Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160 pages long. She uses the equation 380−20d=160 to represent the number of days, d, it took her to read Part 1. How many days did it take Kim to read Part 1 of the book?

Answers

Part 1 took 19 days.

part 1 of the book took 19 days

in the science center there were 236 butterflies in the fall and 128 more butterflies in the winter. in the spring ,there were 85 fewer butterflies .how many butterflies are in the science center now

Answers

279 butterflies if I’m correct. 236+128=364 and 364-85 is 279.

Which is a better buy? 20-ounce box of cereal for $3.60 or 28 ounce for $4.20?

Answers

28 oz for $4.20. Hope this helps :) 
Divide the price for each by the number of ounces to find the price per ounce.

PRODUCT 1:
=$3.60 ÷ 20
= $0.18 per ounce

PRODUCT 2:
= $4.20 ÷ 28
= $0.15 per ounce

ANSWER: The better buy is product two at $0.15 an ounce.

Hope this helps! :)

the average number of minutes that it took jermaine to complete his homework assignments for a week in september was 27 minutes, with a mean absolute deviation of 4 minutes. with this informatiom, which statement is true. Pls someone help me

Answers

Answer:

On average, Jermaine spent between 23 and 31 minutes on his homework.

On average, Jermaine spent between 23 and 31 minutes on his homework.

What is Mean absolute deviation?

This is defined as the average of the absolute deviations from a central point.

In this scenario, the mean absolute deviation

= 27 ± 4 minutes

= 27+4 or  27 - 4

= 31 or 23 minutes.

Therefore we can infer that Jermaine spent between 23 and 31 minutes on his homework.

Read more about Mean absolute deviation here https://brainly.com/question/447169

Evaluate the expression 28C14

Answers

For choose notation, you...
xCy = x! / (x-y)! y!
! means factorial

(28 x 27 x 26...x 3 x 2 x 1)/(14 x 13 x 12...x 3 x 2 x 1)(14 x 13 x 12...x 3 x 2 x 1) = 40116600

At Central High School, there are 60 football players and 25 cheerleaders. What is the ratio of cheerleaders to football players? please slimlfy

Answers

the   simplified ratio is 5/12

Answer:

The answer is 5:12

Step-by-step explanation:

Jean adds 35 and 9. How can she solve using only equations to model her thinking?

Answers

since she only has a two digit number and a one digit number she will be able to create one or two equations. 
 
35+9=44
Or she may want to break up the two digit number into two or more parts, for example:  (5×6) + (1×5) + 9 = 44  or  (7×5) + 9 = 44


A cell phone uses a 3.0 V battery. The circuit board it uses needs a 0.05 A current. What size resistor is needed to generate this current?

___ Ω

Answers

Ohm's law equation used to solve this problem is;
V = IR
where V - voltage
I - current passing 
R - resistance
voltage is the potential difference between 2 points and current passing through these 2 points is proportional to the potential difference, in other words voltage.
V∞I
Resistance is the constant in the equation 
the current required to pass through is 0.05 A (amperes)
the battery voltage is 3.0 V (volts)
substituting these values 
3 V = 0.05 A * R
R = 3/0.05 
R = 60 Ω (ohms)

Answer:

the answer is 60.

Step-by-step explanation:


Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5), C'(-2,-2) triangle are congruent when reflected over the x-axis.

Answers

Final answer:

The reflection rule over the x-axis is when a point (x, y) reflects to (x, -y). Applying this rule to triangle A(-1,7), B(6,5), C(-2,2) gives us the reflected points that match the coordinates of A'(-1,-7), B'(6,-5), C'(-2,-2), proving the triangles are congruent.

Explanation:

The student is querying about the reflection of a triangle over the x-axis on a coordinate plane, specifically within the domain of Mathematics. To demonstrate that triangles A(-1,7), B(6,5), C(-2,2) and their reflected counterparts A'(-1,-7), B'(6,-5), C'(-2,-2) are congruent, we will use the reflection rule associated with reflections over the x-axis.

The reflection rule states that when a point (x, y) is reflected over the x-axis, the resulting point will be (x, -y). Applying this rule:

For point A(-1, 7), the reflection over the x-axis would be A'(-1, -7).

For point B(6, 5), the reflection would be B'(6, -5).

For point C(-2, 2), the reflection would be C'(-2, -2).

The reflected points A', B', and C' match the coordinates given for the congruent triangle, thus confirming the triangles are congruent using the reflection rule over the x-axis.

Can someone help me please!!

Answers

To factor a trinomial, first we should factor out the GCF, or greatest common factor, shared by all of the coefficients and constants.  The greatest common factor of -3, -21, and -30 is -3, therefore, this is the number we must factor out first.

When we factor out the GCF of -3, we get:
-3(q^2 + 7q + 10)

Next, we must look for two numbers that will serve as coefficients for the variables in factored form.  These two numbers must add to 7 (the middle term) and multiply to 10 (the constant or last term).  The two numbers that satisfy these parameters are 5 and 2.

Therefore, we must use these numbers to create factors of the innermost factor that we have left, to get:

-3(q+5)(q+2)

The above expression is your final answer, because you cannot factor any more.  And remember: you can always check to make sure that your factoring is correct by multiplying out the factors and making sure you get your original trinomial.

I hope this helps!

What is the value of a for the following circle in general form? x^2+y^2+ax+by+c=0

Answers

Lets' solve for:  
X^2 + y^2 + ax + by + c = 0


Step 1: Add -x^2 to both sides

ax + by + x^2 + y^2 + c + - x^2 = 0 + - x^2

ax + by + y^2 + c = - x^2


Step 2: Add - y^2 to both sides

ax + by + y^2 + c +  - y^2 = - x^2 + y^2

ax + by + c = - x^2 - y^2


Step 3: Add - by to both sides

ax + by + c + by = - x^2 - y^2 +  - by

ax + c = - by - x^2 - y^2


Step 4: Add - c to both sides

ax + c + - c = by - x^2 - y^2 +  - c

ax = - by - x^2 - y^2 - c


Step 5: Divide both sides by x.

ax/x = - by - x^2 - y^2 - c/ x


a = - by - x^2 - y^2 - c/x



Answer is:


a = - by - x^2 - y^2 - c/x






Answer 2: 

This circle has a radius of [0 – (–6)]/2 = 3 and is centered at (–2, –3). Drawing a diagram is helpful for getting a grasp on this.

The standard equation for a circle is (x – h)^2 + (y – k)^2 = f^2, where h is the x-coordinate of the center, k is the y-coordinate, and r is the radius length. Substituting our values, the standard equation is:

(x + 2)^2 + (y + 3)^2 = 9

Now expand the squared binomials and reorder the terms to match the specified form:

(x + 2)^2 + (y + 3)^2 = 9
x^2 + 4x + 4 + y^2 + 6y + 9 = 9
x^2 + y^2 + 4x + 6y = 0

And there you go!



Final answer:

The 'a' in the equation refers to the coefficient influencing the horizontal shift of a circle's center. To find 'a', you often need specifics about the circle, such as its center or radius. When such information is provided, the quadratic formula can be used to solve it.

Explanation:

The given equation x2+y2+ax+by+c=0 represents the general form of a circle equation. The value of 'a' is a coefficient that impacts the horizontal shift of the circle along the x-axis. Unfortunately, without specific values attached, it is impossible to directly calculate 'a'. Nevertheless, if the equation is compared to the completed square form of a circle equation, i.e., (x-h)2+(y-k)2=r2, you can ascertain that 'a' would be -2h, where h is the x-coordinate of the circle's center.

In specific examples, for instance, if a = 1, b = 0.0211, and c = -0.0211, we can solve for x using the quadratic formula -b ± √b² - 4ac divided by 2a yielding -0.0211 ± √(0.0211)2 − 4(1)(−0.0211)/2(1), where 'a', 'b', 'c' are the coefficients from the equation of a circle in its general form.

Learn more about Circle Equation here:

https://brainly.com/question/36026103

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PLZ HELP
The price of a technology stock was 9.83
yesterday. Today, the price fell to 9.72
. Find the percentage decrease. Round your answer to the nearest tenth of a percent.


@nilbert

Answers

The percentage change can be found from
  percent change = ((new value)/(original value) - 1) × 100%
For your numbers, that is
  percent change = ((9.72/9.83) - 1) × 100% = -0.01119... × 100%

The decrease in value is about 1.12%

the school library has 97 books about space. John and 3 of his friends, each check out 9 books. how many space books are still in school libarary?

Answers

The answer is 70 books in the library
3 times 9 equals equals 27. 97 minus 27 equals 70. Final answer is 70

MATH HELP PLEASE HELP!!! XPERTS +

(CHECK OUT PROFILE FOR MORE UNANSWERED QUESTIONS)!!!!!!!

Answers

Point slope form is y=mx+b
M=the slope
B=the x intercept

So then the equation us y=2/5x+b
Then you solve for b by plugging in the point (-3,-6) for the x and y.
B= -36/5 or -7 1/5

Therefore the slope intercept form is y=2/5x-7 1/5
y = mx + b (this is the equation it has to fit in)
m = slope
b = y intercept
-6 = 2/5(-3) + b
-6 = -6/5 + b
b = -6 + 6/5
b = 4 4/5
-6 = 2/5(-3) + 4 4/5




using the same equation....
m = 1/3
x = 0
y = -2/5
-2/5 = 1/3(0) + b
1/3(0) = 0
-2/5 = b
y = 1/3x + -2/5


hope this helps

Find the value of x°

25°

85°

75°

105°

Answers

180 - 155 = 25

25 + 80 = 105

180 - 105 = 75

x = 75


Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')
You know that the angle that is in the smaller triangle is supplementary to 155 because they are on the same line. So that angle is 25. 

You know that the sum of angles in a triangle is 180. 
So, x + 80 + 25 = 180
x + 105 = 180
x = 75 degress

Dr. Adama is a botanist . She measures thhe daily hieght of a particular variety of sunflower,Sunny yellow,begining when thesunflower is 60 days old. At 60 days,the height of the sunflower is 205 centimeters. Dr. Adama finds that the growty rate ofthis sunflower is 2 centimeters per day after the first 60 days.

Answers

What is the question? :)

which of the following must be true?
check ALL that apply,

Answers

B and D are true.

_____
The Law of Cosines tells you
.. c^2 = a^2 +b^2 -2ab*cos(θ)
Your problem statement provides a relation involving c^2, so we can substitute to get
.. a^2 +b^2 > a^2 +b^2 -2ab*cos(θ)
.. 0 > -2ab*cos(θ)
.. cos(θ) > 0
In the range 0 ≤ θ ≤ 180°, cos(θ) will be positive for θ < 90°, an acute angle.
Thus A and C are false, B and D are true.

A car rental agency charges $16.00 per day plus $.15 per mile. Jim's bill for 4 days was $79.00. How many miles did he drive?

Answers

We already know that if the agency charges $16 a day and Jim had the car for 4 days so we multiply those together and get $64. Now we know there is $15 left. We can divide 15 by .15 and get 100 so Jim drives 100 miles

Answer:

Jim drove 100 miles

Step-by-step explanation:

Four sets of data are shown in box-and-whisker plots. Which set has the largest MEDIAN?

Answers

Okay so the median will be:the median value of a range of values.so can I see the full question so i can help or the median will be the middle nimber hope i helped can i have brainliest?Thanks

Answer:

It’s c

Step-by-step explanation:

Lee ann paid in advance for 20 hours of day care. After one week, she had used 12 3/4 hours. How many hours of day care does she have left!

Answers

subtract 12 3/4 from 20

the answer would be 7 1/4 hours

PLZZZ HELP!!!! 15POINTS


In the coordinate plane, what is the length of the line segment that connects points at (4, −1) and (9, 7) ? Enter your answer in the box. Round to the nearest hundredth. units

Answers


9.43
 pls give me brainiest

Answer:

9.43 is correct I've taken the test on k-12

Step-by-step explanation:

what is the probability of randomly picking a girl without brown hair

Answers

6 girls have brown hair, and you want to know the probability of finding one without brown hair, so you take the population and subtract brown hair, or 22. You have a 22/28 chance of picking a girl without brown hair, simplified to 11/14.

8n^2-4(7m^3+5n^2)
help

Answers

Hello there!


8m² - 4(7m³ + 5n²)

You wanna start by using the distributive property

=8n² - (-4)(7m³) + (-4)(5n²)

= 8n² - 28m³ - 20n²

= -28m³ - 12m²

if 100 envelopes cost 70 cents, how much would 250 cost?

Answers

1.75! If you add together 200, and then half of 100, it’s easy!

A race car travels at a constant speed of 31m/s along a circular arc of radius 22m. What is the centripetal acceleration? a.) 1.41 m/s2 b.) 0.710 m/s2 c.) 43.7 m/s2 d.) 15.6 m/s2.

Answers

a is the correct answer

Answer:

C

The equation for this is a=v^2/r

when you plug in it is a=31^2/22=961/22=43.7m/s^2

Step-by-step explanation:

Divide the amounts in the ratio stated £40 in the ratio 2:3

Answers

There are 2+3 = 5 "ratio units", so each one stands for £40/5 = £8.

The division is £16 : £24.

If a equals James's present age write an expression for his age seven years from now

Answers

A+7 hope it helps ^.^
I think the answer to this question is A+7.

Triangle DEF is congruent to triangle GHI. Side DE measures 52. Side GH measures 10x-13. Side HI measures 12x-16 find the value of x

Answers

check the picture below.

PLZ HELP.ONLY ANSWER IF YOUR 100% SURE. which equation represents a non proportional situation? A. y = 4x B. y = 5x - 1 C. y = 16x D. y = -8x

Answers

y = 5x - 1

-1 is a y-intercept

if there is a y-intercept, it is non proportional


Hope I helped

Let me know if you need anything else!

~ Zoe
the answer is b because the y-intercept is -1

Tetsuo's savings account has a balance of $1192. After 22 years, what will the amount of interest be at 1.5% compounded annually?
a.
$2622.40
c.
$467.98
b.
$450.98
d.
$461.98

Answers

D. $461.98 I think would be the answer. 
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