Choose each conversion factor that relates cups to fluid Ounces.A. 8 fl oz/ 1cB. 8c/ 1 fl ozC. 1 fl oz/ 8 cD. 1 c/ 8 fl oz

You can multiply the first equation by 4:

3x - y = 1 (*4)

12x-4y=4

Adding both equations:

12x - 4y = 4

+

-12x + y = 7

__________

0x - 3y = 11

so, you eliminate the X.

In order to eliminate the variable x when the two equations are added together, we needed to multiply the first equation by 4.

To eliminate the variable x when adding the two equations:

First, let's write the equations in a form where the x and y terms have opposite coefficients:

3x - y = 1 (Equation 1)

-12x + y = 7 (Equation 2)

To eliminate the x term, we can multiply Equation 1 by 4:

4 (3x - y) = 4 × 1

12x - 4y = 4 (Equation 3)

Now, we can add Equation 2 and Equation 3 together:

(-12x + y) + (12x - 4y) = 7 + 4

-12x + 12x + y - 4y = 11x - 3y = 11

The x term has been eliminated, and we are left with the equation 11x - 3y = 11.

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Jerry and Steve each had 24 candy bars, that is, the total candy bars are 48:

If Jerry sold 50% of his candy bars, it means that he sold one half of the total, then, he sold 12 bars.

Steve sold 6 candy bars.

Then, they both sold 12 + 6 = 18 candy bars together.

The fraction of the total candy bars is then:

18/48 = 9/24 = 3/8

We will have the following:

First, we are given the following expressions for the rectangle's length and width respectively:

&

Now, we calculate the length and width using the perimeter:

So:

Then:

So, the measurements of the length and the width are respectively 12 units and 6 units.

In the case of two not mutually exclusive events, we have that, given events A and B,

Notice that if we only include the first two contributions, we would count the intersection of the two events twice; therefore, we must subtract the probability of its intersection once.

In our case,

Therefore, the answer is 10/11.

The domain restrictions that apply on the given rational expression are that x can neither be 0 nor 7.

We are given the rational expression:-

[tex]\frac{(14-2x)}{(x^2-7x)}[/tex]

We have to find the domain restrictions that apply on the given expression.

We know that in a fraction, denominator cannot be 0, or else it will make the fraction indefinite.

Hence, by putting the denominator as 0, we will get the domain restrictions of the expression.

[tex]x^2-7x=0[/tex]

x(x - 7) = 0

x = 0 and 7

Hence, the domain restrictions that apply on the given rational expression are that x can neither be 0 nor 7.

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Given

The inequality,

To find:

Which set of graphs can be used to find the solution to the equation?

Explanation:

It is given that,

That implies,

The graph representing 3e^x is,

Also, the graph representing y> - ( 1/2) x is,

By combining these two we get,

Given:-

A rectangular piece of metal is 25 in longer than it is wide Squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1530 in.

To find the original width.

The formula for volume of the box is,

The volume given is 1530.

Also we have,

Substiutiting the values. we get,

Divide both sides by 5,

So,

So now we get,

Now we solve the quadratic equation,

So now we skip the negative value and take the positve value 19.

So the required value is 19.

Given the figure, we can deduce the following information:

Perimeter = 65 in.

length = n

width = 11 2/4 in. = 23/2 in.

To determine the value of n, we use the formula:

where:

P= Perimeter

l=length

w=width

We plug in what we know:

Therefore, the value of n is 21 in.

To find the mean we will sum the prices (total price, including repeated values) and divide by the total number of computers, then

Using a calculator

Do the division (use a calculator)

The mean price is 1329.41

Solution

For this case we know that the price is 10$ per bottle with 8% of tax

We can find the tax using this:

With x= tax value, solving for x we got:

Then the total price is: 10+0.8 = 10.8

Then we can find the change like this:

20-10.8= 9.2

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.

So we have

So we can apply the rule to obtain

Given the Right Triangle shown in the exercise, you need to use the following Trigonometric Function in order to find the measure of "x":

In this case, you can identify that:

Then, by substituting values and solving for "x", you get:

Hence, the answer is:

Answer:

The solution is 6,375

Step-by-step explanation:

[tex] \sf 6 \frac{3}{8} \\ \\ = \sf \frac{6 \times 8 + 3}{8} \\ \\ \sf \frac{48 + 3}{8} \\ \\ = \sf \frac{51}{8} \\ \\ = \sf 51 \div 8 \\ \\ = \sf6.375[/tex]

We were told that the recycling center processed 36,000 pounds of recyclable materials. We would convert from pounds to tonnes. Recall,

1 tonne = 2000 pounds

Thus, x tonnes = 36000 pounds

By cross multiplying, we have

2000x = 36000

x = 36000/2000

x = 18

18 tons of recyclable materials were processed

She has an expected income of $1250.

The total expenses are $490 + $529.50 = $1019.50.

She has a superavit that she can save. This amount is $1250 - $1019.50 = $230.50.

Answer: the budget balance does not balance because the income is greater than the expenses.

We have the following:

let s is speed, d is distance and t is time, therefore:

Therefore, the answer is the third option 12 2/3 miles

Let's draw a picture of our problem:

where the red point (100 East, 200 Norh) represents the place where Archaeologist found the dinosaur. The blue point (100 East, 300 South) represents the place where Arcaeologist found the whale bones. Additionally, the green point (0,0) represents Arcaeologist's offfice.

we have the expression

so

Verify each statement

A, It is less than 1/2 -----> is not true

B. It is greater than 5 ----> is not true

C. It is between 5 and 6 ----> is not true

D. It is between 1/2 and 5 ----> is true

because

1/2 < 5/2 < 5

therefore

The answer is option D

Find 7•(1-6p)

First eliminate parenthesis

Apply distributive law

a•(b+c) = ab + ac

Then

7•(1-6p) = 7•1 - 7•6p

. = 7 -42p

ANSWER IS

7 - 42p

Note that in any sine function :

Amplitude = A

Verical Shift or midline = D

Period = (2π)/B

Horizontal or Phase Shift = C

From the given,

since we dont have any horizontal shift, C = 0.

Amplitude = 5, so A = 5

Midline = 4, so D = 4

and

Period = 3/2, so equating it to (2 π)/B

Now, substituting the values obtained, the sine function will be :

Given: Ratio of students that voted for A compared to B is 7:4

A recieved 21 votes so let B recieve x votes.

So as the given ratios,

Hence, combined votes received by candidate A and B is 12+21=33

hello

to solve this question, we simpply need to multiply both fractions

from the calculation above, the value of answer is 4/15

Given:

first, we will find the result of dividing 20 by 5, then multiply the result by 3.8

so, the answer will be as follows:

So, the answer will be 15.2

Since this is a normal distribution, the area between the z-scores z₁ = 1 and z₂ = 1.81 is just the probability that the random variable Z is between z₁ and z₂:

Using the values reported on tables for the standardized normal distribution, we know that:

Now, using these results:

Let y be the number of female customers in the restaurant. Since we know that 3 out of 4 customers are females and that x is the total number of customers, this means that:

1) Since we have a table for grouped data, we need to place into that table another column with the middle point of each interval to get the mean.

2) Setting that table with another column we've got:

Age Middlepoint Male Female Male*freq Female*fr

0-9 (0+9)/2 =4.5 10 9 10*4.5=45 9*4.5=40.5

10-19 (10+19)/2=14.5 11 5 159.5 72.5

20-29 (20+29)/2= 24.5 12 13 294 318.5

30-39 (30+39)/2= 34.5 16 19 552 655.5

40-49 (40+49)/2= 44.5 25 21 1112.5 934.5

50-59 (50+59)/2= 54.5 20 24 1090 1308

60-69 (60+69)/2=64.5 18 18 1161 1161

70-79 (70+79)/2= 74.5 15 14 117.5 1043

Now, we can pick the absolute frequency of males and females and multiply by the middle point.

Now we can add the number of males multiplied by the frequency and divide them by the sum of the frequencies, this way:

3) Now to find the standard deviation of this population, we can write out the following:

(p) is the product of 7 to the sum of 3 and 9

This means we take the sum of "3" and "9" and multiply it with the variable "p". The expression is shown below

The difference of (T) and 24 is 9 more than 34 ​

The difference of T and 24 means T - 24

is 9 more than 34 means 34 + 9

Writing it together:

The main values in order to find the surface are the width and the length, therefore, the surface will be the product between them

Because the box cover from a gift box depends on the width and length, the surface area is 1350cm^2.

15 pizza ---> $195

100 pizza --> x

answer:

$13000