Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar in a jar. She then pours 2 1/4 fluid ounces of the dressing onto Her salad. How much dressing remains in the jar?

Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...

Divide the first digit.

Divide the first two digits.

Enter the first digit of the quotient.

(See image attached for an example)

To solve the equation y = mx + b for x, subtract b from both sides and then divide by m, resulting in x = (y - b) / m.

To solve the equation y = mx + b for x in terms of y, you need to isolate x on one side of the equation. Here’s how you can do it step by step:

Therefore, the equation solved for x in terms of y is x = (y - b) / m.

Answer:

The answer is B.

Step-by-step explanation:

So, there are 46,000 seats for a baseball game and 49,442 attended. You need to subtract 46,000 from 49,442 to get the answer that is 3,442.

Answer:not enough infoStep-by-step explanation:

Answer: zom me with 2 o's

Id:2478158957

Password: 8xle3l

Answer:

x= to 5

Step-by-step explanation:

Answer:

The lowest he can get is a 72 to maintain an 80 as his average

Step-by-step explanation:

Answer: 15.80%

Step-by-step explanation:

Given: Total population=62400

The total number of students=9860

To find the percent of the total population is students, we need to divide total population by total number of students and then multiply with 100, we get

The percent of the total population is students=[tex]\frac{9860}{62400}\times100[/tex]

[tex]=\frac{9860}{624}\\=15.80\%[/tex]

Hence, the percent of the total population is students is 15.80%.

Final answer:

To calculate the percentage of the total population that are students, divide the number of students (9860) by the total population (62400) and multiply by 100, resulting in approximately 15.8%.

Explanation:

To find the percentage of the population that are students, we use a simple formula where we divide the number of students by the total population and then multiply the result by 100. Applying this to the given numbers:

Percentage of students = (Number of Students / Total Population) × 100

Using the numbers provided:

Percentage of students = (9860 / 62400) × 100

Percentage of students = 0.15801282 × 100

Percentage of students = 15.801282%

Therefore, approximately 15.8% of the total population is students.

Answer:

154,897 REGISTERED LABRADOR RETRIEVERS WERE THERE

Step-by-step explanation:

Given the statement: IN 1999, THERE WERE 9860 GREAT DANES REGISTERED WITH THE AMERICAN KENNEL CLUB.

Also, THE NUMBER OF REGISTERED LABRADOR RETRIEVERS WAS 6997 MORE THAN FIFTEEN TIMES THE NUMBER OF REGISTERED GREAT DANES

Let x represents the number of Great Danes registered and y represents the number of Labrador retrievers registered.

The statement:

"Fifteen times the number of registered great Danes " means 15x

and

"6997 more than fifteen times the number of registered great Danes" means 15x + 6997

then as per the given statement:

x = 9860 .

To solve for y;

y = 15x+ 6997

Substitute the value of x we get;

[tex]y = 15(9860)+6997[/tex]

Simplify:

y = 154,897

Therefore, the registered Labrador Retrievers were there are;  154,897

The number of registered Labrador Retrievers in 1999 was calculated to be 154897 by multiplying the number of registered Great Danes (9860) by 15 and then adding 6997 to the result.

To determine the number of registered Labrador Retrievers, we need to calculate fifteen times the number of registered Great Danes, then add 6997 to that product. We are given that in 1999, there were 9860 registered Great Danes with the American Kennel Club. Let's do the math:

The number of registered Labrador Retrievers was 154897.

Question

Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples?

Answer:

Step-by-step explanation:

find the price of pears

7kg * 1.30£ = 9.1£

from the total price take away the cost of pears

12.70 - 9.1 = 3.6 £ (price of 2Kg of pears)

3.6 : 2 = 1.80 £ ( cost of 1 Kg of apples)

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

or you can solve with an expression

12.70 - (7 * 1.3) : 2 =

1.80 £

Answer:

0 = -6 + x

Step-by-step explanation:

x = Day 1 Scores

The equation I stated above represents what he scored the second day plus whatever he scored the first day to equal zero.

Hope This Helps :)

Answer:

0 = -6 + x

Step-by-step explanation:

10·(480:4)=10·120=1200

Answer:

It can print 1200 copies in 10 minutes.

Step-by-step explanation:

This problem can be solved using a proportion.

Let x be the number of copies  that can be printed in 10 minutes.

480 copies = 4 minutes

        x         = 10 minutes

cross-multiply

4 × x  =   480 ×  10

4x = 4800

Divide both-side of the equation by 4

[tex]\frac{4X}{4}[/tex]  =  [tex]\frac{4800}{4}[/tex]

(On the left-hand side of the equation, 4 at the numerator will cancel-out 4 at the denominator, leaving us with just x, while on the right-hand side of the equation 4800 will be divided by 4)

x =  1200 copies.

Therefore, It can print 1200 copies in 10 minutes.

Answer:

30 games

Step-by-step explanation:

8+15+0.9x is less than or equal to 50

isolate x:

x is less than or equal to 30

Answer:

1.2 ft

Step-by-step explanation:

We can use ratio's to solve this problem.  Put the item on top, and the shadow on the bottom

40 ft flagpole       4 ft child

--------------------- = --------------------

x ft shadow            .8 ft shadow

Using cross products

40 * .8 = 4x

32 = 4x

Divide each side by 4

32/4 = 4x/4

8 = x

The flag pole casts an 8 ft shadow

The question asks how much longer is the shadow of the flagpole and Robin than the flagpole?  In other words, how long is Robins shadow

40 ft flagpole       6ft  Robin

--------------------- = --------------------

8 ft shadow            x ft shadow

Using cross products

40 *x = 6*8

40x = 48

Divide by 40

40x/40 = 48/40

x = 1.2

Answer:

1.2

Step-by-step explanation:

The height of an object and the length of its shadow are directly proportional. Let h be the height of an object and s be the length of its shadow. From the information about the child, we have h/s = 4/(0.8) = 5. The flagpole with Robin on top has a height of 46 feet. Suppose its shadow has length x. Solving the equation 46/x = 5 for x gives us x = 46/5 = 9.2 feet. The flagpole alone is 40 feet tall. Suppose its shadow has length $y.$ Then, we must have 40/y = 5. Solving this equation gives y=8 feet. So, the difference in shadow lengths is 9.2 -8= 1.2

Answer:

Step-by-step explanation:

X= (-7+radical 13)/6

X=(-7-radical 13)/6

Answer:

D, x = -2

Step-by-step explanation:

The slope of y = -2 is 0, because it is horizontal. The perpendicular slope of a horizontal slope is a vertical, which has x equaled to a number. The answer is D, x = -2, because its slope is undefined, or vertical. This makes it perpendicular to 0, or horizontal.

Answer:

10v²

Step-by-step explanation:

6v² + 4v² =

10v²

Answer:

y-1 =( -5/3) (x-1)

Step-by-step explanation:

The point slope equation for a line is

y-y1 = m(x-x1)

where m is the slope and (x1, y1) is a point

We need to determine the slope

The formula for slope is

m = (y2-y1)/(x2-x1)

where (x1,y1) and (x2,y2) are points

m = (1-6)/(1--2)

  = (1-6)/(1+2)

    =-5/3

The slope is -5/3

Now we can substitute the slope into the equation for a line.  We can use either point.  I will use (1,1)

y-y1 = m(x-x1)

y-1 =( -5/3) (x-1)

Answer:

y-1 =( -5/3) (x-1)

Step-by-step explanation:

The point slope equation for a line is

y-y1 = m(x-x1)

where m is the slope and (x1, y1) is a point

We need to determine the slope

The formula for slope is

m = (y2-y1)/(x2-x1)

where (x1,y1) and (x2,y2) are points

m = (1-6)/(1--2)

 = (1-6)/(1+2)

   =-5/3

The slope is -5/3

Now we can substitute the slope into the equation for a line.  We can use either point.  I will use (1,1)

y-y1 = m(x-x1)

y-1 =( -5/3) (x-1)

The correct answer is:

3) equal differences over equal intervals

Linear functions exhibit a consistent rate of change over equal intervals, leading to equal differences between successive values of the function. This characteristic is fundamental to understanding linearity.

When graphed, linear functions form straight lines, and the slope of the line represents the rate of change or the coefficient of the independent variable. Regardless of the specific values of the function, the change in output over any fixed change in input (interval) remains constant.

This property is referred to as having equal differences over equal intervals. It contrasts with non-linear functions, where the rate of change varies across the function's domain, resulting in unequal differences over equal intervals.

Identifying and understanding this characteristic helps in recognizing linear relationships and interpreting their behavior in various contexts, from mathematics to real-world applications.

[tex]|14-2x|<8\iff14-2x<8\ \wedge\ 14-2x>-8\qquad\text{subtract 14 from both sides}\\\\-2x<-6\ \wedge\ -2x>-22\qquad\text{change the signs}\\\\2x>6\ \wedge\ 2x<22\qquad\text{divide both sides by 2}\\\\x>3\ \wedge\ x<11[/tex]

Answer:

The first thing we are going to do is simplify the equation. 2 + 2 equals to 4. 6^3 equals to 216. 4 x 5 equals to 20. Now, we solve the equation to the right because we multiply before we divide 20 x 216 = 4,320 and now we are going to divide 4,320 by 4 which equals to 1,080.

Step-by-step explanation:

Answer:

542

Step-by-step explanation:

You must use order of operations: PEMDAS

P_arenthesis

E_xponents

M_ultiplication or

D_ivision left to right

A_ddition or

S_ubtraction left to right

So there are no parenthesis, then  you do exponents.

2 + 2/4 * 5 * 6^3

So six times six three times.

2 + 2/4 * 5 * 216

Now divide usually from left to right.

2 + 0.5 * 5 * 216

Multiply

2 + 2.5 * 216

Multiply for the last time 2.5 by 216

2 + 540

Finally add

542

Hope this helps future students,

Que.

Answer:

It will take 2 people 10 days to complete the task.

Step-by-step explanation:

It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day, i.e., 10 people take 10 working hours to complete a task.

When number of people is decreased by 5 times, i.e., 10÷5=2, then the amount of working hours are increased by 5, i.e., 10×5= 50 hours.

If the 2 workers work 5 hours per day then they will require 10 days to complete the task of 50 hours.

Answer:

$22.00 will be paid in taxes on the new amount

Step-by-step explanation:

550 x .3333 = 183.315 (round up to 183.32)

550 + 183.32 = 733.32 is the new price for the furniture

733.32 x .03 = 21.9996 (round up to 22.00)

Answer:

70 pages

Step-by-step explanation:

25 % = 25/100 = 1/4

Number he reads each night 280 * 1/4

= 70 pages

Ramon should read 70 pages each night to cover 25 percent of the 280-page book over four nights.

Ramon's goal is to read 25% of a 280-page book each night.

To find out how many pages he should read each night,

we can calculate 25% of 280.

First, we convert 25% to a decimal by dividing it by 100:

25% = 0.25.

Next, we multiply the decimal (0.25) by the total number of pages (280):

0.25 [tex]\times[/tex] 280 = 70.

Ramon should read 70 pages each night.

This consistent approach will help him finish the book in four nights while ensuring he comprehends the material thoroughly.

Breaking the reading into manageable portions not only makes it easier to digest the content but also allows him to better retain and engage with the book.

For similar question on percent

https://brainly.com/question/24877689

#SPJ3

Answer:

Q1  The function is linear from x = 2 to x = 8.

Q2 The function is increasing from x = -5 to x = 0.

Step-by-step explanation:

Q1. Select the statement that is true about the graph above.

The function is decreasing from x = -5 to x = 0.

This would mean it is going down from left to right.  It is obviously going up.  So this is not true.

The function is nonlinear from x = -5 to x = 0.

This would mean it is not a straight line, but it is a straight line so this is not true.

The function is increasing from x = 2 to x = 8.

This would mean it is going up from left to right, but it is going down from left to right so this is not true.

The function is linear from x = 2 to x = 8.

This would mean it is a straight line between 2 and 8.  It is true.

Q2.Select the statement that is true about the graph above.

The function is increasing from x = -5 to x = 0.

This would mean it is going up from left to right.  It is obviously going up.  So this is  true.

The function is decreasing from x = -5 to x = 0.

This would mean it is going down from left to right.  It is obviously going up.  So this is not true.

The function is linear from x = 0 to x = 2.

This would mean it is a straight line, but it is not a straight line so this is not true.

The function is nonlinear from x = -5 to x = 0.

This would mean it is not a straight line, but it is a straight line so this is not true.

For comparing two data sets using box plots, 'median and IQR' is the best choice as they describe the center and variability effectively, especially for skewed data. Therefore, option d is the correct answer.

When comparing two data sets using box plots, the best measures of center and variability to use are often the median and interquartile range (IQR).

The median best describes the center of a skewed distribution, as it is not affected by extreme scores, and the IQR describes the variability by measuring the spread of the middle 50 percent of the data.

Therefore, between the options provided, 'median and IQR' would be the best measures to compare the two data sets of Test 1 Grades and Test 2 Grades.

A box plot displays the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value.

The IQR is calculated by subtracting Q1 from Q3, giving us the spread for the middle 50 percent of the data. This is helpful when assessing how close the data values are to the center and how they are distributed within that range.

Therefore, option d is the correct answer.

check the picture below.

make sure your calculator is in Degree mode.

now, Charlie's eyes are 5.2' from the ground, however the distance from his eyes over the horizontal and the ground over the horizontal, is the same, so taking the tan(32°) at his eyes level will give that horizontal distance.