If the figures are similar, use a proportion to find the missing side?

A bottle of 150 vitamins costs $5.25.

The cost varies directly with the number of vitamins in the bottle.

What should a bottle with 250 vitamins cost?

Let C denotes cost and V denotes the number of vitamins.

The direct variation equation is

Let us first find the value of k (constant of proportionality)

Now the cost of 250 vitamins may be found as

Therefore, the cost of 250 vitamins is $8.75.

Answer:

9p-25

Step-by-step explanation:

always do parentheses first

-5(-10p + 8p -5)-p

multiply negative with negative gives positive

-5(-2p-5)-p

variable always has a 1 in front

10p-1p-25

9p-25

If x and y are in direct proportion and y is 2 when x is 4 and  y is 6 when x is 12.

By definition of proportionality,

If y is directly proportional to x,

y α x

i,e y = k(x)

K is the constant of proportionality

when x = 4, y =2

2 = k(4) --> k = 1/2

Now y = k.x

       y = 1/2 (12)

       y = 6

The proportional constant  is a ratio that connects two given values ​​in a so-called proportional relationship. Other names for the constant of proportionality are constant ratio, constant rate, unit rate, constant of variation, or even  rate of change.

To find the constant of proportionality, first identify the variables x and y. To find out the relationship between weight and number of sticks, x is the weight and y is the number of butter sticks. Use the equation k = y÷ x to find the constant of proportionality.

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If c is the bill that Lottie pays for cable, the given situation can be represented by the following inequality:

25 < 3 + 5c

in the previous inequality, you have that 25 is less (<) than 3 more (3 + ) than 5 times (5x) what Lottie pays for cable.

The previous inequality can be also written as follow:

3 + 5c > 25

The pay in total will be:

since 3 cost $17then 6 will cost 2(17)=$34

then we apply the coupon for 25% off, obtainning 34-0.25(34)=$25.5

now we add the taxes, 25.5+0.06(25.5)=$27.03

Answer:

151.93 bushels

Explanation:

First, let's find the volume of the truncated cone using the following equation

Where h is the height of the cone, r is the smallest radio and R is the largest radio. So, replacing h = 4 ft, r = 1.5 ft and R = 4.5 ft, we get:

Because the radius is half the diameter, so r = 3ft/2 = 1.5 ft and R = 9ft/2 = 4.5 ft.

Now, we know the volume in cubic feet. To find the volume in bushels, we will use the conversion factor 1 ft³ = 1.24 bushels.

Therefore, the answer is 151.93 bushels

The most appropriate choice for average will be given by-

Weekly average temperature of Anchorage = -33.6

What is average?

In a data set, there are many numbers. There has to be a number which will represent all the numbers in a data set. That representative is called average.

Average is calculated by dividing the sum of all observations by the number of observation.

Temperature on monday at Anchorage = -31.4

Temperature on monday at Anchorage = -35.2

Temperature on monday at Anchorage = -33.8

Temperature on monday at Anchorage = -34.9

Temperature on monday at Anchorage = -32.7

Weekly average temperature =

                                                   [tex]\frac{(-31.4) + (-35.2) + (-33.8) + (-34.9) + (-32.7)}{5}\\\\-\frac{168}{5}\\\\-33.6[/tex]

Weekly average temperature of Anchorage = -33.6

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We know that

• The baby weighed 8.5 kg and was 60.5 cm long.

We have to transform 8.5 kg into pounds. We know that 1 kg is equivalent to 2.2 pounds. So, we just have to multiply.

Then, we transform 60.5 cm into inches. We know that 1 inch is equivalent to 2.54 cm. So,

Given that, in 5 months, firefighters responded to 80 wildfires:

• You can determine the rate of wildfires per month firefighters respond to by dividing 80 wildfires by 5 months:

You can determine that each rectangle of the diagram provided in the exercise represents the rate obtained above.

• Assuming that the rate is the same in 8 months, you can multiply the rate obtained before by 8 months, in order to determine the number of wildfires the firefighters will respond to in 8 months:

Hence, the answer is:

8 + 2(6 - 3) / 6

we will be using order of operation

pemdas

firstly we will solve the parentheses

= (6 - 3)

= 3

8 + 2(3) / 6

Secondly we will open the parentheses with 2

= 8 + 6/6

thirdly, we will do the division

= 6/6 = 1

Lastly, Addition

8 + 1

= 9

The answer is 9

Area of a circe = Pi x radius^2

Recall the Pythagorean Theorem:

For a right triangle with legs of lengths A and B and hypotenuse C, the following relation is satisfied:

If two variables are known (it could be the hypotenuse and one leg, or both legs), then the third can be calculated. If the hypotenuse is not known, it can be calculated as:

If one of the legs is not known, then we can substract the other length squared, and then take the square root:

For problems involving the Pythagorean Theorem, use these equations by replacing the corresponding numerical values of A, B or C. Remember that C does not always stand for the hypotenuse, it always depend on the diagram. For example, if the legs of the right triangle were labelled as X and Y, and the hypotenuse was A, then:

Be careful with that.

The radius of the circle, r = 8 in

m

That is the angle, θ = 92°

The length of arc BD is given by the formula:

If π = 3.142

Arc BD = 4.09 (3.142)

Arc BD = 12.85 in

areTo produce a stem and leaf plot, we should follow these steps:

Step 1- Rearrange the numbers in ascending or descending order: This will make the plotting of the stem and leaf plot a lot easier.

Step 2- Next, we select the stems from each number in the data. the stem is the first digit in the number in consideration. For example, the stem of 16 is 1 because it is the first digit. We do this selection of stems for all the numbers in the dataset.

Step 3- Next, we select the leaves. The leaves are the digits that come after the stem in a number. For example, in the number 16, while 1 is the stem, 6 is the leaf of the number.

Step 4- We arrange the stems and leaves in a table and this represents the stem and leaf plot.

With this information, we can proceed to solve the question

Solution

Step 1:

Rearranging the numbers, we have:

12, 14, 16, 17, 18, 18, 19, 20, 22, 23, 24, 25, 25, 25, 26, 26, 29, 29, 32, 33, 35, 37, 38, 38, 39

Step 2:

The stems of this data are just the first digit of each number.

12, 14, 16, 17, 18, 18, 19 all have a stem of 1

20, 22, 23, 24, 25, 25, 25, 26, 26, 29, 29 all have a stem of 2

32, 33, 35, 37, 38, 38, 39 all have a stem of 3.

Thus, the stems of this data are: 1, 2, and 3.

Step 3:

The leaves of the data are the second digits of the numbers. Thus, we have that

The leaves of these numbers 12, 14, 16, 17, 18, 18, 19 are: 2, 4, 6, 7, 8, 8, 9.

The leaves of these numbers 20, 22, 23, 24, 25, 25, 25, 26, 26, 29, 29 are: 0, 2, 3, 4, 5, 5, 6, 6, 9, 9

The leaves of these numbers 32, 33, 35, 37, 38, 38, 39 are: 2, 3, 5, 7, 8, 8, 9.

Step 4:

Thus, we can proceed to generate the leaf plot as follows:

The ratio of a 30-60-90 triangle is the following:

This means that the side that is opposite to the 60 degrees angle is "a" times the square root of 3, where "a" is the side adjacent to the 60 degrees angle. Therefore, applying this to the given triangle we get:

Also, the hypotenuse is "2a", therefore, we have:

From there we can solve for "n" by dividing both sides by 2:

Now we can use this value to determine the value of "m":

People surveyed P = 200

Then

40% soccer= 200x40/100= 80

10% swimming= 200x10/100= 20

20% tennis= 200x 20/100= 40

30% basketball= 200x 30/100= 60

))How many favor soccer than swimming?

= 80 - 20= 60

Then answer is 60 people

Answer:

what do you need to be helped with please

A system of equations has infinite solutions when both equations are equivalent.

To check if two equations are equivalent, write both of them in the same form. If the coefficients are proportional, including the constant terms, then they are equivalent.

Option 1

The first equation is written in general form. Isolate the constant term on the second equation to write it in general form:

Notice that if we multiply the second equation by 3 on both sides, we will get the same coefficients as in equation 1:

Then, both equations are equivalent.

Therefore, this system has infinite solutions.

Option 2

Since there is no constant term in the secon

Let us define place value

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that we understand that whilst a digit can be the same, its value depends on where it is in the number.

Given the number 1,664,963, the place values of each of the numbers are

1= 1 Million

the first 6 from the left= 6 hundred thousands

the second 6 from the left = 6 ten thousands

4= 4 thousands

9= 9 hundreds

the last 6 from the left = 6 tens, and

3= 3 units

Hence, the place occupied by 9 in the number 1,666,963 is 9 hundreds

Before we write the sentence comparing the densities, let's first calculate them. The density is given by the ratio between the amount of cattle and the area of the country.

The ratio for United States is:

The density of cattle for United States is 19.989 cattle/square mile.

Doing the same calculation for the other country:

The density of cattle for Republica is 40.573 cattle/square mile.

To do a relative comparison, we can do it by finding the ratio between those densities.

A sentence that makes a relative comparison would be:

The density of cattle in United States is less than the density of cattle in Republica, representing only 49.27% of the density of cattle in Republica.

m is an unknown number that is being decreased by 7.

OPTION A IS WRONG BECAUSE MATHEMATICALLY IT IS WRITTEN AS

[tex]7 - m[/tex]

B IS WRONG BECAUSE IT MEANS

[tex]7 - m[/tex]

C IS WRONG BECAUSE IT MEANS

[tex]7 - m[/tex]

BUT D IS THE ANSWER BECAUSE IT MEANS

[tex]m - 7[/tex]

SINCE m IS TREATED AS AN UNKNOWN NUMBER.

GOODLUCK!!!!

The x-intercept and y-intercept are (-12,0) and (0,-8) for the equations is 2x+3y=-24.

Given that,

The equation of 2x+3y=-24

We must determine the equation's x-intercept and y-intercept.

In the cartesian coordinate system, the horizontal X-axis and the vertical 'Y-axis' are two perpendicular axes that make up the coordinate plane. The line's intercepts—where it crosses the two axes are referred to as.

We have to find x-intercept.

To find x-intercept take the y value as zero.

2x+3y=-24

2x+3(0)=-24

2x=-24

x=-24/2

x=-12

Now, To find y-intercept take x value as zero.

2x+3y=-24

2(0)+3y=-24

3y=-24

y=-24/3

y=-8

Therefore, The x-intercept and y-intercept are (-12,0) and (0,-8) for the equations is 2x+3y=-24.

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What each part of the expression represents in the context of the problem include the following:

An algebraic expression is a mathematical equation that can be used for showing the relationship which exist between two or more variables, numerical quantities, as well as in conjunction with different mathematical operations.

In Mathematics, a coefficient simply refers to a constant numerical value (number or numeral) that written before the variable in any algebraic expression.

Given the following algebraic expression:

0.07r + (r – 20)

In the context of fixing David’s broken watch, the variable r represents the original cost of the repair while 0.07r most likely represents the amount of money charged as tax. Lastly the expression (r – 20) represents the discount on fixing David’s broken watch.

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Answer:

337.5

Step-by-step explanation:

first you solve what is in the bracket and add the 2 to give you 27 then add the 310.5

constructing the triangle

From the figure,

We will be applying trig. ratios

Finding BC with respect to angle 30

Finding AB with respect to angle 30

Therefore,

BC = 12 and AB = 24

Answer:

here

Step-by-step explanation:

hitler demanded to be appointed as chancellor. German President Paul von Hindenburg initially resisted this demand. However, he gave in and appointed Hitler as Chancellor of Germany on January 30, 1933. Hindenburg appointed Hitler to this position as the result of a political deal.

Solution

Given

r = 1.2% = 0.012

A = $27

t = 3 years

Since Amount(A) = Principal(P) + (Principal(P) × Rate(r) × Time(t))

=> 27 = P(1 + r × t)

Hence, the principal is $26.06