What is x in x/4=1.8/5

The ratio is defined as fraction in which one number is numertor and other number is denominator.

For example the ratio 2/3 has 2 in numerator and 3 in denominator, but if we write the ratio as 3/2 then it is different from previous ratio 2/3. So in ratio order is important in which you write the ratio.

Thus answer is,

The order in which you write the ratio is important to the meaning.

To solve the exercise, you can first know how many boxes of cheese result with the amount of 350 pounds of cheese.

For this, you can use the rule of three, like this

So, you have

The values of the functions are;

a. (f + g)(x) = x( 2 + 3x)

b. (f - g)(x) = 2x - 3x²

c. (f. g) (x) = 6x²

d.  (f/g)(x) = 2/ 3x

A function can be defined as an expression, rule, law or theorem that explains the relationship between two variables in a given expression

These variables are called;

From the information given, we have;

To determine the composite functions, we have;

a. (f + g)(x)

Add the functions

(f + g)(x)  = 2x + 3x²

Factorize the functions

(f + g)(x) = x( 2 + 3x)

b. (f - g) (x)

Subtract the functions

(f - g)(x) = 2x - 3x²

c. (f. g) (x)

Substitute the values of x as g(x) in f(x)

(f. g) (x) = 2(3x²)

(f. g) (x) = 6x²

d. (f/g)(x) = 2x/ 3x²

(f/g)(x) = 2/ 3x

Hence, the functions are determined by substituting the values of the dependent variables.

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By using polynomial rule we can get  6x^4-7x^3+3x^2+17x-14

What is polynomial rule?

All exponent in the algebraic expressions must be non-negative integer in order for the algebraic expressions to be a polynomial.

A polynomial is defined as per an expression which is the  composed of variables, constants and exponents, that are combined using the  mathematical operations are  such as addition, subtraction, multiplication and division.

Sol- (3x^2-5x+7).(2x^2+x-2)

(3x^2-2x^2+3x^2.x-3x^2.2)-5x.2x^2-5x.x+5x.2+7.2x^2+7.x-14

{polynomial multiplication rule}

=6x^4+3x^2-6x^2-10x^3-5x^2+1x+14x^2+7x-14

{Plus or minus with the same x coefficient}

We are get=

6x^4-7x^3+3x^2+17x-14

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Compound interest formula:

Given data:

P= $2,000

r= 3,9% =0.039

n=monthly= 12

t= 6 years

Then, the total amount after six years is $

Given:

it is given that a graph of the function y = 2(x-15)^2 + 3 is translated to the graph of the function y =2(x - 11)^2 + 3

Find:

we have to choose the correct option for the given translation.

Explanation:

we will draw the graphs of both the functions as following

The graph of the function y = 2(x - 15)^2 + 3 is represented by red colour and the graph of the translated function y = 2(x - 11)^2 + 3 is represented by blue colour in the above graph.

From, the graphs of both functions, it is concluded that the graph of the translated function is shifted 4 units to the left.

Answer: D(12)

Step-by-step explanation: To find the opposite it the number you would do -12= -12 x -1 = 12

Answer with explanation: To find the values of x where the f(x) is discontinuous, we have to set the denominator equal to zero, doing this gives:

The f(x) is discontinuous at x = 9, following graph confirms it:

In conclusion, discontinuity is non-removable.​

The equation in vertex form of the parabola is y=-1/30(x+23/2)²+529/120

Y axis represends the toy car's speed

X axis represents time

y=ax²+bx+c

c=0

y=ax²+bx

2=9a+3b multiplied with -5

-10 = -45a -15b........equation 1

3=25a+5b multiplied with 3

9 = 75a + 15b............equation 2

adding equation 1 and 2

9-10=75a-45a+15b-15b

30a=-1

a=-1/(30)

2=9×(-1/30)+3b

3b=2+3/10=23/10

b=23/30

y=-1/30 x²+23/30=-1/30(x²+23x+(23/2)²)+1/30 ×(529/4)

y=-1/30(x+23/2)²+529/120

Therefore, the equation in vertex form of the parabola is y=-1/30(x+23/2)²+529/120

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-15 + 18 is the same as 18 - 15, which is equal to 3.

We know that the equation of a line is given by

y = mx + b,

where m and b are numbers: m is its slope (shows its inclination) and b is its y-intercept.

In order to find the equation we must find m and b.

In all cases, m is given, so we must find b.

We use the equation to find b:

y = mx + b,

↓ taking mx to the left side

y - mx = b

We use this equation to find b.

We have that the line passes through

(x, y) = (-10, 8)

and m = -1/2

Using this information we replace in the equation we found:

y - mx = b

↓ replacing x = -10, y = 8 and m = -1/2

Then, the equation of this line is:

y = mx + b,

↓

y = -1/2x + 3

Equation 1: y = -1/2x + 3

Similarly as before, we have that the line passes through

(x, y) = (-1, -10)

and m = 0

we replace in the equation for b,

y - mx = b

↓ replacing x = -1, y = -10 and m = 0

-10 - 0 · (-1) = b

↓ 0 · (-1) = 0

-10 - 0 = b

-10 = b

Then, the equation of this line is:

y = mx + b,

↓

y = 0x - 10

y = -10

Equation 2: y = -10

Similarly as before, we have that the line passes through

(x, y) = (-6, -9)

and m = 7/6

we replace in the equation for b,

y - mx = b

↓ replacing x = -6, y = -9 and m = 7/6

Then, the equation of this line is:

y = mx + b,

↓

y = 7/6x - 2

Equation 3: y = 7/6x - 2

The line passes through

(x, y) = (6, -4)

and m = does not exist

When m does not exist it means that the line is vertical, and the equation looks like:

x = c

In this case

(x, y) = (6, -4)

then x = 6

Then

Equation 4: x = 6

The line passes through

(x, y) = (6, -6)

and m = 1/6

we replace in the equation for b,

y - mx = b

↓ replacing x = 6, y = -6 and m = 1/6

Then, the equation of this line is:

y = mx + b,

↓

y = 1/6x - 7

Equation 5: y = 1/6x - 7

The probability that the basketball player misses at most one basket is 0.077 as it is a mutually exclusive event.

Two events are said to be mutually exclusive if they cannot occur at the same time or simultaneously. This implies they are disjoint events and the probability of both events occurring at the same time will be zero.

Let us represent the probability of the player getting a basket to be p(y) and that of not getting a basket to be p(x)

then p(y)=40%=40/100=2/5

p(x)=1-(2/5)=3/5

The probability the player misses at most one basket implies his highest miss is one out of the five shots he took

So, the probability that he missed the:

1st shot= (3/5)×(2/5)×(2/5)×(2/5)×(2/5)=48/3125

2nd shot= (2/5)×(3/5)×(2/5)×(2/5)×(2/5)=48/3125

3rd shot= (2/5)×(2/5)×(3/5)×(2/5)×(2/5)=48/3125

4th shot= (2/5)×(2/5)×(2/5)×(3/5)×(2/5)=48/3125

5th shot= (2/5)×(2/5)×(2/5)×(2/5)×(3/5)=48/3125

The probability that he misses at most one basket= (48/3125)+(48/3125)+(48/3125)+(48/3125)+(48/3125)+(48/3125)= 249/3125=0.0768.

Finally, from the workings the probability that the player misses at most one basket is 0.077 rounded up to three decimals

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Answer:

[tex]4r+6t \leq 24[/tex]

Step-by-step explanation:

The cost of money spent on a rose bundle can be represented by 4r, where 4 is the cost of one rose bundle and r is the number of rose bundles purchased.

The cost of money spent on a tulip bundle can be represented by 6t, where 6 is the cost of one tulip bundle and t is the number of rose bundles purchased.

The amount spent on rose bundles added to the amount spent on tulip bundles must be equal to or less than $24, since that's all you have to spend. This can be represented using this equation:
[tex]4r + 6t \leq 24[/tex]

:)

Answer:

28/50

Step-by-step explanation:

If there is 50 marbles and you have 22 blue and 28 red and they want you to find what the chance of picking a red marble out of the bag your chances would be 28/50 hope this helps!

Answer:

(8, -1)

Explanation:

Given the below system of equations;

Let's go ahead and test each of the given solutions and see which of them is the correct one;

For (8, -1), we have x = 8 and y = -1;

Substituting the above values in Equation 1, we have;

Substituting the values into Equation 2;

We can see that (8, -1) is a solution to the given system of equations

The modulated power is 15 kW.

The modulated power is given by the formula P_T= P_C (1+  (m_a^2)/2) and is connected to the total power of the carrier signal and the modulation index.

To obtain the modulated power, substitute the values in the given equation and simplify.

Given,  

Power of carrier signal (P_C) = 12 kW

                                                = 12000 W

Modulation index ( m_a) = 1/√2

Consequently, when we change the variables in the equation, we get

P_T= P_C (1+  (m_a^2)/2)

     =12000 (1+  (1/√2)^2/2)

     = 12000 (1+ 1/4)

     = 12000 * 5/4

     = 3000*5

     = 15000 W

     =  15 kW

Hence, modulated power is 15 kW.

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Answer

Focus = (2, 7)

Explanation

Given:

The following is the equation of a parabola

What to find:

To find the focus of the parabola.

Step-by-step solution:

The general equation of a parabola can be given as,

Comparing the general equation of a parabola with the given equation of a parabola, we have

4p = -4

∴ p = -4/4 = -1

Also,

h = 3

k = 7

Since h ± c = F

We have,

3 - 1 = 2

Therefore, the focus will be (h ± c, k) = (2, 7)

Answer: $50,000,000

Explanation:

First, we add up the percentage of support, sales, and media covers. Given that:

Support = 23%

Sales = 22%

Media = 5%

The total percentage would be

This would mean that $25,000,000 covers half of the annual budget. The other half would be of the same amount, therefore, the total annual budget would be:

In this case, Cai is right.

Basically, Cai is right because a ratio is a fraction. So, if you divide the numerator and denomirator by the same number, the fraction won't be changed, in that case you would get an equivalent fraction.

For example, if we have 4/6, and we divide both numbers by 2, we get 2/3, these operations are valid because you are dividing both numbers by the same (2).

Answer:

your answer is B

Step-by-step explanation:

Germany, Austria-Hungary, Bulgaria, and the Ottoman Empire

Answer:

Table A represents a function

Step-by-step explanation:

Table A represents function because it is the only table that doesn't repeat an output or input number.

1) Considering that the Area of a rectangle is given as:

2) We can then write the following equation plugging into that the length= 5.

Say the area is "A", then we can find the width this way:

Note that we rewrote that to solve it for w (width).

All we need is to plug into the A the quantity of the area of this rectangle

Thus, the answer is w=A/5

From the given circle, the measure of the arc or the central angle indicated is as shown at the center of the circle is subtended by the arc

Hence, the measure of the arc or central angle indicated is 65° ,Option B

Answer:

y=[tex]\frac{1}{2}[/tex]x+1

Step-by-step explanation:

y=mx+b

m is the slope of the line, which you find by counting the rise over run between two points. In this case its up one, and right two, or [tex]\frac{1}{2}[/tex].

b is the y intercept, or where the line crosses the y axis

We have that

So the answer is the first one.

since the student do 32 questions in a time of 28 minutes, then the rate of response is 32/28=8/7 questions/minute ,then the students will be able to complete 160 questions in 20(7)= 140 minutes

The value of each line segment is found as 26 units.

For the given question.

The line is given as DE and the mid point of line is D.

Thus,

CD = DE   .....eq 1

The value of each term are given as;

CD = 2x + 7

DE = 4(x - 3)

Put the value in equation 1.

2x + 7 = 4(x - 3)

2x + 7 = 4x - 12

Bring variables and constants on the different sides.

4x - 2x = 7 + 12

2x = 19

x = 9.5

Put the value in each side;

Thus, the value of each line segment is found as 26 units.

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345ft²

1) Since we have the following data then we can write it down:

width: 15 ft

length: 2w-7

2) And we can write out the following equation regarding that the area of a rectangle is given by:

We can plug into that the given data:

Notice we have used the FOIL acronym. And the PEMDAS order of operations prioritizing the inner parentheses.

3) So we can state that the area of her living room is 345ft²

Solution

Step 1:

The translation is a term used in geometry to describe a function that moves an object a certain distance.

Step 2:

Pre-mage R = (-3,4)

Step 3:

When moved along (7, -6) the new coordinates become:

R' = (-3+7 , 4 - 6 ) = (4 , -2)

R' = ( 4 , -2 )

Step 4:

When moved along (-1, 3) the new coordinates become:

R'' = ( 4-1 , -2+3 ) = ( 3 , 1 )

R'' = (3 , 1)

Final answer