Simplify the equation 4x+3y=45

Answer:

Step-by-step explanation:

IF 22% of 714 surveyed adult made a statement, the actual number of those that made the statement can be gotten by simply evaluating 22% of 714 as shown below;

= 22% of 714

= 22/100 * 714

= (22*714)/100

= 15708/100

= 157.08

≈ 157 surveyed adult

This means that about 157 surveyed adults made the statement.

Answer:

55 students

Step-by-step explanation:

Write an equation.

3/5 = 33

Divide by 3 to get a unit fraction.

3/5 / 3 = 1/5

33 / 3 = 11

1/5 = 11

Multiply by 5

1/5 x 5 = 1

11 x 5 = 55

1 = 55

So, there are 55 students on the school trip.

Answer:

greater

Step-by-step explanation:

The domain is the number that x can be

sqrt(x-3) must be greater than or equal to zero

x-3  must be greater than or equal to zero

x must be greater than or equal to  three

The other restriction is x+2 cannot equal zero

x cannot equal -2

The first restriction is more restrictive so that is the one we go with

Answer:14.097

Step-by-step explanation:

Answer: z=1−x+w/r

Step-by-step explanation:

Subtract x from both sides.

z-w/r=1-x

Add w/r to both sides.

z=1−x+w/r

hope i helped

-lvr

The answer is C and D

First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation 9x^2 - 6x - 6 = 0

Then we will use the quadratic formula to find the answers.

using the Quadratic Formula where:

a = 9, b = -6, and c = -6

and the formula is 6 +- [tex]\sqrt{6^{2} } -4 (9)(6) /2 (9)[/tex]

Answer:

The oldest person is 25 years old

Step-by-step explanation:

Represent David's age by d.

Then Dan's age is d + 5, and Bridget's is d - 8.

The sum of these three ages is 57:

d + (d + 5) + (d - 8) = 57

This simplifies to

3d - 3 = 57, or 3d = 60.  Then d must be 20.

David is 20, Dan is 25 (5 years older than David), and Bridget is 12 (8 years younger than David).

Check:  Do these three ages add up to 57?

20 + 25 + 12 = 57   YES\

The oldest person is 25 years old.  That's Dan's age.

Answer:

[ 11/ 5 , ∞ )

Step-by-step explanation:

Answer:

[tex]$ x_1^2 + z_1^2 = y_1^2$[/tex]

Step-by-step explanation:

Let   [tex]$ p(x_1, y_1, z_1)$[/tex]  be the point.

Any point on y-axis is (0, y, 0)

So, distance is

= [tex]$ \sqrt{x_1^2+0 + z_1^2} $[/tex]

= [tex]$ \sqrt{x_1^2 + z_1^2} $[/tex]   ......(1)

Now any point on x-z plane is [tex]$ ( x_1, 0, z_1 ) $[/tex]

Distance from p to this point is

= [tex]$ \sqrt{0+y_1^2 + 0} $[/tex]

= [tex]$\sqrt{y_1^2}$[/tex]    .........(2)

Equating (1) and (2), we get

[tex]$ \sqrt{x_1^2 + z_1^2} = \sqrt{y_1^2}$[/tex]

[tex]$ x_1^2 + z_1^2 = y_1^2$[/tex]

This is the required equation.

Answer:

200,300,290,320,340

Step-by-step explanation:

If the mean of five numbers = 290

Then the total sum of the five numbers should be= 290*5

= 1450

an example of a set of five different numbers whose mean is 290

= 200,300,290,320,340

Summation of the above

=( 200+300+290+320+340)

= 1450

So the above set of numbers is a good example of a set of five different numbers whose mean is 290

Answer:

[tex]2\frac{2}{5}[/tex] hours, or 1 hours and 24 minutes

Step-by-step explanation:

4/5 battery remaining

drains at rate of 1/3 per hour

[tex]\frac{1}{3}h=\frac{4}{5}\\\frac{3}{1}(\frac{1}{3}h)=\frac{3}{1}*\frac{4}{5}\\h=\frac{3*4}{1*5}=\frac{12}{5}=2\frac{2}{5}[/tex]

He has 2 2/5 hours or 2 hours and 24 minutes left until his phone dies.  (A fifth of an hour is 12 minutes and we have 2/5 to deal with, so 12 times 2 is 24 mins.)

Answer:

8

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

An air conditioning system can circulate 350 cubic feet of air

per minute. How many cubic yards of air can it circulate per

minute?

About 13.0 cubic yards

The amount of air in cubic yards per minute will be 12.96 cubic yards per minute.

Conversion means to convert the same thing into different units.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

An air conditioning system can circulate 350 cubic feet of air per minute.

We know that 1 foot = (1/3) yards, then the 1 cubic foot = (1/27) cubic yards.

350 cubic feet / minute = (1/27) x 350 cubic yards / minute

350 cubic feet / minute = 12.96 cubic yards / minute

The amount of air in cubic yards per minute will be 12.96 cubic yards per minute.

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Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer: Mason has 150 buttons.

Step-by-step explanation: Brandon has 25 buttons. If Mason has 6 times as many, all you have to do is multiply 25 times 6. You end up with 150 buttons.

Answer:

G(-4) = -7

Step-by-step explanation:

G(x)= -x^2 + 9

x= -4

G(-4)= - (-4)^2 + 9

       = -16 +9

       = -7

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2      

y= 3 x-2      

x= 3y - 2  

3 y -2 = x

3 y -2 + 2 = x + 2

3 y =  x   +  2                                                      

3        3       3

3 y =  x   +  2                                                      

3        3       3

y =  x  +  2          replace y with f ^ -1(x)

     3        3                                            

f ^-1 (x) =    x   +  2        

                 3       3      

Answer:

65

Step-by-step explanation:

100, 50, 80, 40, 70, 35, 65.

|____|__|___|___|__|__|

÷2. +30. ÷2. +30 ÷2. +30

A pattern is a recurring arrangement of numbers, forms, colors, and so on. The next number in the given pattern will be 65.

In mathematics, a pattern is a recurring arrangement of numbers, forms, colors, and so on. The Pattern may be applied to any form of event or object. A pattern is defined as a group of integers that are connected to each other in a specified way.

If the given pattern is observed closely then it can be observed that the second number is decreased by half the previous one, while the next number is formed by adding 30, therefore,

Hence, the next number in the given pattern will be 65.

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Answer:

the answer is 20/3 or 6 2/3

Step-by-step explanation:

Answer: y=-13/12x-7

Step-by-step explanation:

To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. We use the two given points to find the slope.

[tex]m=\frac{32-6}{-36-(-12)} =\frac{26}{-24} =-\frac{13}{12}[/tex]

Now that we have our slope, we can start filling out the slope-intercept form equation.

y=mx+b

y=-13/12x+b

Since we don't know the y-intercept, we can use one of the given points and solve for b.

6=(-13/12)(-12)+b                              [multiply (-13/12) and -12]

6=13+b                                              [subtract both sides by 13]

b=-7

With the y-intercept, we can complete our equation.

y=-13/12x-7

Answer: 4 x 3 = 12

6 x 2 = 12

Step-by-step explanation:

Answer:

449.50

Step-by-step explanation:

because gross pay is before taxes and everything else and he worked 29 hours so 15.50 × 29 = $449.50

The amount of money that Hector works in a gas station will be $449.50.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Hector works in a service station and procures $15.50 each hour. Last week he worked 29 hours.

The total cost that Hector can earn will be given as,

⇒ $15.50 x 29

⇒ $449.5

The gross pay that Hector works in a corner store will be $449.50.

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Answer:

2.7 meters

Step-by-step explanation:

So, we know that 1 foot is about 0.305 meters.

To find how many meters are in 9 feet, multiply 0.305 by 9.

Therefore:

[tex]9(1\text{ foot})=9(0.305\text{ meters})[/tex]

Multiply:

[tex]9\text{ feet}=2.745\text{ meters}[/tex]

To the nearest, tenth this would be 2.7 meters.

And we're done!

Answer:

Step-by-step explanation:

Given 3 positive integers x, y and z, if their product is 125, then;

xyz = 125 .......... 1

Sum of the integers S(x, y, z) = x+y+z ........... 2

From equation 1; x = 125/yz ........3

Substitute equation 3 into 2

S(x, y, z) =  125/yz+y+z

Sy  =  -125/y²z + 1

Sz  =  -125/z²y + 1

For the sum to be minimum, Sy = Sz = 0

-125/y²z + 1 = 0

-125/y²z = -1

-125 = -y²z

125 = y²z

Also; is Sz = 0

-125/z²y + 1 = 0

-125/z²y = -1

-125 = -z²y

125 = z²y

Hence y²z = z²y = 125

From y²z = 125, z = 125/y²

Substitute z = 125/y² into the equation 125 = z²y

125 = (125/y²)²× y

125 = 125²/y⁴ × y

125 = 125²/y³

1 = 125/y³

y³ = 125.

y = 5

Since 125 = y²z

5²z = 125

25z = 125

z = 5

From the product xyz = 125

x(5)(5) = 125

25x = 125.

x = 5

Hence x = y = z = 5

Answer:

Step-by-step explanation:

A ∩ B = {0, 2, 6}

Answer:

12 ounces

Step-by-step explanation:

0.30 x + 0.35 (18) = 0.33 (x + 18)

0.30 x + 6.3 = 0.33 x + 5.94

0.36 = 0.03 x

x = 12

Answer:

There are 50 part-time students:

15 of them, take only one course.

10 of them, take only two courses.

then the rest, this is:

50 - 10 - 15 = 25

25 students take 3 courses.

b) What percent of students take exactly two courses?

15 out of 50 take exactly two courses, the percentage is:

p = (10/50)*100% = 20%.

c) What percent of students take one or two courses?

This will be the percentage of students that take only one course plus the percentage of students that take two courses:

The percentage of students that take two courses is already known: 20%.

Now, for 1 course we have 15 students out of 50, the percentage is:

p = (15/50)*100% = 30%.

Then the percentage that take 1 or 2 courses is:

P = 30% + 20% = 50%

20% of students take exactly two courses, and 50% of students take one or two courses.

Given that fifty part-time students were asked how many courses they were taking this term, of which 15 take only 1 course, while 10 take 2 courses, to determine what percent of students take exactly two courses, and what percent of students take one or two courses, the following calculation must be performed:

Therefore, 20% of students take exactly two courses, and 50% of students take one or two courses.

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cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

In this case, we'd have a = 180 and b = q, so,

cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

cos(180 - q) = cos(180)cos(q) + sin(180)sin(q)

cos(180 - q) = -1*cos(q) + 0*sin(q)

cos(180 - q) = -cos(q) + 0

cos(180 - q) = -cos(q)

Answer: Fourth answer choice

c+a+s = 4000

10c+12a+8s = 37000

4a = s

==========================================

Explanation:

The first equation

c+a+s = 4000

is fairly straightforward. We add the individual counts of children (c), adults (a) and seniors (s) to get the total number of people (4000) who attended

-------------

If 1 child ticket costs $10, then 2 of them cost 20, and so on. If we don't know how many children there are, then we say 10c is the total cost for just the children alone. The c is a placeholder for some number.

Similarly, 12a represents the total cost for just the adults since 1 adult pays $12

8s is the total cost for all the seniors only

10c+12a+8s is the total cost of everyone and this total cost is 37000 dollars

The second equation is therefore

10c+12a+8s = 37000

----------------

We're told that "There were 4 times more seniors than adults at the movie theater" meaning

number of seniors = 4*(number of adults)

s = 4a

which is the same as 4a = s since we can flip both sides. So this is the third equation of our system.

------------------

We found these three equations

c+a+s = 4000

10c+12a+8s = 37000

4a = s