Work out the missing values in the following estimation: 47 × 116 = __ x __​

To make 3.5 batches of salad dressing, 7.875 cups of salad dressing are required.

A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 = 2.

Here,

1.5 cups of olive oil and .75 cups vinegar for 1 batch of salad dressing.

1.5+0.75=2.25 cups for 1 batch of dressing

3 1/2=3.5 batch

Total amount of cups=3.5*2.25

=7.875 cups of salad dressing

7.875 cups of salad dressing will be be needed to make 3.5 batches of salad dressing.

To know more about equation,

https://brainly.com/question/25994553

#SPJ4

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

Learn more about inverse proportional relations here:

brainly.com/question/1266676

#SPJ4

Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.

Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.

Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.

To learn more about perpendicular and parallel lines link is here

brainly.com/question/2188951

#SPJ4

The number of different ways the prizes can be awarded among the 2 entries received is 2 if no one gets more than one prize.

The question states that there are five different prizes and the top five winners will get them, but no one can get more than one prize. Since there are only two entries received, the number of ways the prizes can be awarded is determined by the number of ways to select two winners from the two entries received

This is a combination problem where we have to select 2 items (winners) out of 2 items (entries) without regard to the order.

The number of ways to select k items out of n items without regard to the order is given by the binomial coefficient (n choose k), which is calculated as:

nCk = n! / (k!(n-k)!)

where n is the total number of items, k is the number of items selected and ! denotes factorial.

So in this problem, we have to calculate the number of ways to select 2 winners out of 2 entries, the binomial coefficient is:

2C2 = 2! / (2!(2-2)!) = 2*1/1 = 2

Therefore, the number of different ways the prizes can be awarded among the 2 entries received is 2 if no one gets more than one prize.

Learn more about binomial coefficient at : brainly.com/question/3836597

#SPJ4

You can easily, double and even triple the recipe; just make sure you are using a pot large enough to hold the rice as it cooks and expands.

Use at least 12 cups of water for every cup of rice while bringing a large pot of water to a boil. To get rid of extra starch, rinse* the rice in a colander with a fine mesh under running water. Rice should be added to the boiling water.

12 cups of water to 6 cups of rice is the standard water to white rice ratio. Simply make sure you are using a pot big enough to handle the rice while it cooks and expands.

You can easily double or even quadruple the recipe. By delicately placing the tip of your pointer finger on top of the rice and measuring from there, you may determine the proper depth (see photo below). When the tip of your finger reaches the water, it should be at your first knuckle.

To learn more about 6 cups of rice refer to  :

https://brainly.com/question/2451780

#SPJ1

the width of the bulletin board is -200 in.

Step-by-step explanation:

Let w = the width of the bulletin board

Since the perimeter of the bulletin board is 300 in, we can write the equation:

2w + 2(300 - w) = 300

Simplifying:

2w + 600 - 2w = 300

0 = 300 - 600

-600 = 300

Therefore, the width of the bulletin board is -200 in.

Now that we know the width of the bulletin board, we can express the area A(w) as a function of its width w:

A(w) = w * (-200)

A(w) = -200w

To learn more refer to:

brainly.com/question/30290070

#SPJ1

Answer:

[tex]28a {}^{2} + 47a + 15[/tex]

Step-by-step explanation:

Multiply what's inside the brackets with the outside brackets:

[tex](4a + 5)(7a + 3) = [/tex]

[tex](4a \times 7a) + (4a \times 3) + (5 \times 7a) + (5 \times 3) = [/tex]

[tex]28a {}^{2} + 12a + 35a + 15 = [/tex]

[tex]28a {}^{2} + 47a + 15[/tex]

Therefore , the solution to the given problem of triangle comes out to be X=16 and Y=5.

The fact that a triangle contains four points or sections qualifies it as a polygon. It is an elementary geometric form. Triangle ABC is the name given to a rectangle with side A, B, or C. Euclidean geometry produces a single surface and square where sides are not collinear. It is a polygon if a triangular has three parts and three corners. The intersection of a triangle's three sides is at its corners. Three triangle angles added together equal 180 degrees.

Here,

Assumed: X=16 Y=5.

Since both sides of an equilateral triangle are the same length, the equation is 18y-41=3x+1=49.

working out x

Considering 3x+1=49

grouping similar terms

3x=49-1=48

units: x=48/3=16

working out y

thinking about 18y-41=49

18y=49+41=90

units of y=90/18=5

As a result, X=16 and Y=5 are the answers to the triangle problem given.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

The trigonometric functions sin R and Cos Q will have same Trigonometric ratios as Sin R=24/51 and Cos Q=24/51

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions

Now

As Trigonometric ratios for Sin R=Perpendicular/Hypotenuse and Cos Q=Base/Hypotenuse

Hence,

Sin R=24/51 and Cos Q=24/51

To know more about trigonometric functions visit the link

https://brainly.com/question/6904750?referrer=searchResults

#SPJ1

The equation of the tangent to the circle, whose equation is given below, at the point (0,4).

(x−2)² + (y−3)² = 5 is y = -x + 4

The equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the center of the circle, and r is the radius. So given equation is of circle whose center is (2,3) and radius is √(5)

To find the equation of the tangent to the circle at point (0,4) we have to find the slope of tangent and point of tangent.

The slope of tangent is equal to the derivative of the equation of the circle.

y = mx + c

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

where (x1, y1) = (0, 4) and (x2, y2) = (2, 3)

so, m = (3-4) / (2-0) = -1

Now, we know the slope of the tangent line is -1, we can substitute this value in the point slope form of line equation,

y - y1 = m(x - x1)

y - 4 = -1(x - 0)

y = -x + 4

So, the equation of the tangent to the circle at the point (0,4) is y = -x + 4

learn more about a tangent: https://brainly.com/question/4470346

#SPJ1

Answer:

Price per topping

Step-by-step explanation:

Because the price changes per number of toppings, the graph shows the price per number of toppings.

The exponential function showing relationship between y and t will be y=2600(23/20)^t.

What are exponential functions?

An exponential function is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Now,

Initial bacteria cells=2600 (p)

rate of increment = 15% (r)

Number of hours = t

y=Number of bacteria cells at any time

To find the relationship between y and t

we use the formula Quantity = Initial quantity*(1+r/100)^t  

                                                                               --  (A=p*(1+r/100)^t )

therefore,

y=2600(1+15/100)^t

y=2600(23/20)^t

To know more about exponential function visit the link

https://brainly.com/question/14355665?referrer=searchResults

#SPJ1

The order of g is a power of 2, Hence G is abelian.

Everything is in order, with the exception of identification.

2, then  a2=e

where  a∈G

 (including identity this time). So,  a−1=a

  for all  a∈G

Hence  ab=(ab)−1=b−1a−1=ba

 for all  a b∈G

For every x∈G

we have x2=e

where e

represents the identity in.

Then x−1=x

Now, let a,b

be two arbitrary elements in G

We have ab=(ab)−1=b−1a−1=ba

Hence G is abelian.

(First equality is true because  ab

is also an element of  G

Know more about abelian

https://brainly.com/question/29891858

#SPJ4

Out of 100 messages, Trey sent 12 messages, Mary sent 15 messages and Lamar sent 75 messages.

Let the number of messages sent by Trey be x. So, the number of messages sent by Mary will be (x+10). The number of messages by Lamar will be 3×(x+10). Their sum of is 100, so representing the information in equation form.

x + x + 10 + 3(x + 10) = 100

Performing multiplication on Left Hand Side of the equation

x + x + 10 + 3x + 30 = 100

Performing addition

5x + 40 = 100

Rewriting the equation

5x = 100 - 40

Performing subtraction

5x = 60

x = 60/5

Performing division

x = 12

Messages sent by Trey = 12

Messages sent by Mary = 12 + 3

Messages sent by Mary = 15

Messages sent by Lamar = 3(15 + 10)

Messages sent by Lamar = 3×25

Messages sent by Lamar = 75

Learn more equations -

https://brainly.com/question/2972832

#SPJ4

The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ y ≤ - 5/6x + 2/3

Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.

Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ1

560 miles would 35 inches be on the map.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given:

The distance between two cities on a map is 25 inches.

The actual distance between the two cities is 400 miles.

We have to find the how many miles would 35 inches be on the map.

As the distance between two cities on a map is 25 inches but the actual distance between the two cities is 400 miles.

⇒ 400/25 = 16 miles would be map in a one inches.

⇒ 16 x 35 = 560 miles would be map in a 35 inches.

Hence, 560 miles would 35 inches be on the map

To know more about distance, click on the link

https://brainly.com/question/17273444

#SPJ1

Answer:

1.) x = 7  

3.) m = 1 and m = 5  

5.)  [tex]x=\frac{3}{7}\\[/tex]

7.) n = 4  , [tex]n=-\frac{3}{2}[/tex]

Extra credit) [tex]t=-\frac{1}{9}[/tex]

Step-by-step explanation:

Question 1

Multiply both sides by 5
simplify: x - 1 = 6
Add 1 to both sides

Question 3

Multiply by the Least common multiple (5 = 6m - m^2)

solve 5 = 6m - m^2!

Question 5

Cross multiply

move x to the left side

Divide both sides by 7

Simplify

Question 7

Cross Multiply

Solve

Extra Credit

Multiply by Least Common Denominator

move 2 to the right and t to the left side.

Divide both sides by 18

Simplify

If Over 4 days, Krista deposited $45 into her bank account, transferred $30 to a friend, the mean change per day to Krista's account during that week is $14.

First step is to find the total money in the account

Total money in the account = $45 - $30 + $59 - $18

Total money in the account  = $56

Now let find the mean change per day

Mean change per day  = Total money in the account  /Total number of days

Mean change per day = $56 /4 days

Mean change per day = $14

Therefore the Mean change per day is $14.

Learn more about Mean  here:https://brainly.com/question/27568635

#SPJ1

The angle bisectors of a triangle bisect at a common point that is equidistant from the all the sides of the triangle, this point of coincidence is called the incenter of the triangle.

Incenter all the time lies inside the triangle, the circle drained with incenter as the center is inscribed in the triangle and it is called incircle.

The use of Angle bisectors in real life are in architecture, for making quilts and in produce cakes.

It is also used in playing several games as well like football, rugby, billiards.

we use the point of concurrency for angle sever of a triangle theorem.

From that theorem, R is equidistant from the three sides of triangle ABC, so XR= YR = ZR

To know more about Triangle:

brainly.com/question/2773823

#SPJ4

The value of angle x in decimal place is 57.8°.

A decimal number's digits are assigned a place value according to a chart that displays decimal place values. A digit in a number's place value is, as far as we are aware, its numerical value. The correct placement of each digit in a decimal number is therefore determined using decimal place value charts, just like with other place value diagrams. In this chart, the place values of the digits before and after the decimal point are shown.

Draw the altitude of the triangle

We know that

sinθ =  Opposite / Hypotenuse

sin 38° = y/11

y = 11 sin 38°

y = 6.77

sin(x) = y/8

sin(x) = 6.77/8

sin(x) = 0.84625

sin(x) = 57.8°

Thus, the value of angle x in decimal place is 57.8°.

Learn more about decimal place

https://brainly.com/question/17041016

#SPJ1

Answer: 25800

Step-by-step explanation: If you want to round to the nearest hundred, then you look at the tens digit. Since the tens digit is 4, you round it down and then you get 25800.

In the end, Moe played 51 games, while  Meeny played 17 games and Miny played 35 games.

We can start solving the problem by using algebra. Let x be the number of games Moe played. Then, since Meeny and Miny played 17 and 35 games respectively, the total number of games played is 17 + 35 + x = x + 52.

We know that in the second game and on, the one who sat out the preceding game would replace the loser of that game. Therefore, the number of games played by Moe is one less than the number of games played by Meeny and Miny combined.

x = (17 + 35) - 1 = 51.

So, Moe played 51 games.

Read more about algebraic expressions:

brainly.com/question/17447711

#SPJ4

The complete question is -

Meeny, Miny and Moe were playing tennis. From the second game on, the one who sat out the preceding game would replace the loser of that game. In the end, Meeny played 17 games and Miny played 35 games. How many games did Moe play?

A conditional equation is neither an identity nor a contradiction. It is a statement that is only true under certain conditions.

A conditional equation is an equation that expresses a condition. It has two parts: a hypothesis (or antecedent) and a conclusion (or consequent). The hypothesis states that a certain condition must be met in order for the conclusion to be true. For example, the equation "if x = 4, then x + 1 = 5" is a conditional equation. If the condition (x = 4) is true, then the conclusion (x + 1 = 5) is also true. However, if the condition is false, then the conclusion is also false. Therefore, a conditional equation is neither an identity nor a contradiction, but rather a statement that is only true under certain conditions.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

To me, I would rather stick to your cash allowance so as not to be in debt but the choice between using a credit card or cash allowance depends on your individual financial situation and goals. If you are concerned about overspending or managing debt, using a cash allowance might be a better choice.

The Advantages of using cash allowance:

Lastly, No temptation to overspend - When using cash, it's easier to keep track of your spending and avoid overspending compared to using a credit card.

However, if you want to build a positive credit history and take advantage of rewards, a credit card might be a good option for you.

Learn more about cash allowance from

https://brainly.com/question/29549945
#SPJ1

Answer:

To evaluate the expression (-(7)/(10)+0.15)/(-(1)/(8)), we need to simplify it step by step by following the order of operations (PEMDAS)

Parentheses: First we need to simplify the expressions inside the parentheses,

(7)/(10) = -0.7

-(1)/(8) = -1/8

Addition and Subtraction: Next we need to add and subtract the numbers,

-0.7 + 0.15 = -0.55

Division: Next we need to divide the numbers,

(-0.55) / (-1/8) = -0.55 * 8/-1 = 4.4

So the final result is 4.4

Note that the negative signs in the numerator and denominator can be thought as multiplying by -1.

When it takes 6 hours to travel and 8.7 hours to return home, there is a 45% increase in travel time.

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement. In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Here,

Time take to arrive at vacation destination=6 hours

Time take to arrive at home=8.7 hours

percent increase=(8.7-6)/6*100

=45%

The percent increase in the time taken to come back to home is 45% when they took 6 hours to reach and 8.7 hours to comeback.

To know more about percent,

https://brainly.com/question/29172752

#SPJ4

Complete question:

It took the Phillips family 6 hours to drive to their vacation destination. Due to traffic, it took them 8 hours and 42 minutes to drive home. Percentage for Increase or Decrease!!

By calculating , the values of angles D and E are 80 , 80 respectively.

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and the sum of three angles is always 180 degrees .

Given ,

from the figure ,

In triangle ECD

The sum of three angles = 180

so ,

E+C+D = 180

50+50+D = 180

D = 180-100

D = 80

And in the Quadrilateral AECB,

A+E+C+B = 360

110+70+100 + E = 360

E = 360 - 280

E = 80

Hence, the values of angles D and E are 80 , 80 respectively.

To learn more about Triangle from the given  link.

https://brainly.com/question/2773823

#SPJ1

Technology advancement, globalization, commodity price fluctuations, and domestic economic policies such redistributive fiscal policies, labor and product market policies are some of the major causes of the rise in intra-country income inequality documented in the literature.

High levels of income inequality are associated with financial crises, debt, inflation, and economic instability.

Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income (the amount of money people are paid) (the amount of wealth people own).

Educating yourself. Your level of education has a significant impact on your future income and can open up more chances in a particular profession. ... Your Talents. Your ability to earn money is closely related to your skill set and areas of expertise. Trends in the economy.

To learn more about low income from given link

https://brainly.com/question/8335422

#SPJ1

1. The victims from Catanduanes and Cagayan receive P 2,500.00.

Mrs. Ramirez donated P 5,000.00 and 50% of it was sent to Catanduanes while another 50% was sent to Cagayan.

So, the victims from Catanduanes received P 5,000.00 x 50/100 = P 2,500.00 and the victims from Cagayan received P 5,000.00 x 50/100 = P 2,500.00.

2. The percentage of the calamansi used for juice is 60%

Mang Juan harvested calamansi and put them in a small basket. 2/5 of the calamansi were ripe, and the rest were unripe. He used all the ripe calamansi and 25% of the unripe calamansi for juice.

So, the number of ripe calamansi used for juice is 2/5 x the total number of calamansi, and the number of unripe calamansi used for juice is 25/100 x (1-2/5) x the total number of calamansi.

The total percentage of the calamansi used for juice is (2/5 + 25/100 x (1-2/5)) x 100%.

So, The percentage of the calamansi used for juice = (2/5 + 1/5) x 100 = (3/5) x 100 = 60%

To learn more about percentages:

https://brainly.com/question/24877689

#SPJ4