How do I solve 9/5 = x/16

Answer:

234

Step-by-step explanation:

Man I don't know

The answer is:

-32

Work/explanation:

Remember the integer rule:

\(\blacktriangleright\phantom{333}\sf{a\times(-b)=-ab}\)

In other words, we multiply a positive times a negative which results in a negative product.

Therefore,

8*(-4) = -32

The calculated area of the triangle B is 1.8 square units

From the question, we have the following parameters that can be used in our computation:

Triangle A and B

Where

Area of A = 1/2 base * height

Sp, we have

Area of A = 1/2 * 2 * 5

Next, we have

Area of B = Area of A * Scale factor^2

Using the above as a guide, we have the following:

Area of B = 1/2 * 2 * 5 * (3/5)^2

Evaluate

Area of B = 1.8

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We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.

What is gallons?

Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.

Let's start by using algebra to solve the problem.

Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:

0.227x = 68.1

To solve for x, we can divide both sides of the equation by 0.227:

x = 68.1 ÷ 0.227

x = 300.001 (rounded to three decimal places)

Therefore, the family uses 300.001 gallons of water every day.

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hello,

this question involves division and the knowledge of multiplication would come in handy here

when we have a number let say 10 is divided by a fraction 1/2

step 1

change the division sign to multiplication

step 2 change the numerator to the denominator and vise versa and the multiply through

whenever youre faced with a problem of dividing with fractions, just flip the fraction and the multiply

i'll give you another example

divide 1/3 by 1/2

step 1

Answer:

y=5x+19

Step-by-step explanation:

y+1=-5(x+4)

y+1=-5x-20

Subtract 1 (like terms)

y=-5x-21

Answer:

y = 2

Step-by-step explanation:

x=2

when finding the x-intercept, the y value has to be 0, and the x value has to be how many units to the right of the origin the x-intercept is.

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

HbcnAnswer:bfn

Step-by-step explanation:vngc

Answer:

12.5%

Step-by-step explanation:

26 out of 208 is equal to 'x' out of 100

208x=2600

x=12.5

324 Miles

If you divide 189 by 7, you get 27. If you then multiply 27(miles per hour) by 12(hours) you get 324.

The length of an arc LM is given by the formula:

Hence,

The number of possible different votes for Milan, based on the list of bands is 60 different votes.

There are 5 lists of bands that Milan has to choose from to place a vote and there are only 3 bands to be chosen out of the 5 lists.

The total number of different votes possible is therefore possible by performing a permutation:

= 5! / ( 5 - 3) !

= 5 ! / 2 !

= (5 x 4 x 3 x 2 x 1) / (2 x 1)

= 60 different votes

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Answer:

2.28 * 10^8 km.

Step-by-step explanation:

228,000,000

= 2.28 * 10^8 km.

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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one third of 33 is 11

one fifth of 45 is 9.

Answer:

Step-by-step explanation:

so what you need to do is subtracked 26 with 46 then you get the ansewer 20 but after that you have to do 20 divided by 4 and you will get your answer.

The graph for the equation

is given by

Answer:

the  volume of the rectangular prism is 448.5 in^3

Step-by-step explanation:

The computation of the volume of the rectangular prism is shown below:

As we know that

The  volume of the rectangular prism is

= 7.8 × 11.5 × 5

= 448.5 in^3

It is basically multiplied with the height, width and the length

Hence, the  volume of the rectangular prism is 448.5 in^3

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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Answer:

A would be correct

Step-by-step explanation:

the answer is A.

The proportionality is a relation between two quantities. The equation for the given cases can be written as 3g = 5m,  5m = 3g, 5g = 3m and g = 8 m.

When two quantities have some dependence in their values they can be said to be proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies that the value of one quantity is increasing while the other is decreasing.

Given that,

The number of gallons of water = g,

The number of minutes = m,

And, the equation for the given condition as,

g = 3 / 5 m

The equation for each minute the washing machine runs, it uses five thirds gallons of water is given as,

g = 5 / 3 m

=> 3g = 5m

The equation for each minute the washing machine runs, it uses three fifths of a gallon of water is given as,

m = 3 / 5 g

=> 5m = 3g

The equation for each gallon of water the washing machine uses, it runs for three fifths of a minute is given as,

g = 3 / 5 m

=> 5g = 3m

The equation for each gallon of water the washing machine uses, it runs for 8 minutes is given as,

g = 8 m

Hence, the equation for the given conditions can be written as,

3g = 5m,  5m = 3g, 5g = 3m and g = 8 m.

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The required coordinate points are (3, 0) and (-4, 0)  

To find the exponential function from two points, you need to know the coordinates of two points on the graph of the function.

If you have access to the graph, you can try to estimate the coordinates of two points by using the grid lines on the axes.

Choose two points that lie on the curve and try to read their coordinates as accurately as possible from the gridlines.

Here we have an exponent graph

In the given picture,

The curve cuts the y-axis at 3 and the x-axis at - 4

Hence,

The required coordinate points are (3, 0) and (-4, 0)

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Given:

The point P = (3,2) is rotated 270° counterclockwise about the origin.

To find:

The image of the given point after rotation.

Solution:

If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:

\((x,y)\to (y,-x)\)

Using this rule, we get

\(P(3,2)\to P'(2,-3)\)

Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).

Answer:

Domain: x \(\geq\) -5

Range: y \(\geq\) -3

Step-by-step explanation:

The domain is all the possible inputs or x value.  x will be greater than -5.

The range is all of the possible outputs or y value.   y will be greater than -3

Answer:

Domain:  [-5, ∞)

Range:  [-3, ∞)

Step-by-step explanation:

The given graph shows a continuous curve with a closed circle at the left endpoint (-5, -3) and an arrow at the right endpoint.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

The domain of a function is the set of all possible input values (x-values).

As the leftmost x-value of the curve is x = -5, and it continues indefinitely in the positive direction, the domain of the  graphed function is:

The range of a function is the set of all possible output values (y-values).

From observation, it appears that the minimum y-value of the curve is y = -3. The curve continues indefinitely in the positive direction in quadrant I. Therefore, the range of the graphed function is:

Answer:

= 56.7 miles per hour

Step-by-step explanation:

Step-by-step explanation:

To find the average speed for the entire journey, we need to find the entire distance   and the  total time

Entire distance = 210 miles + 130 miles = 340 miles

Total time = 3.5 hours and 2.5 hours = 6 hours

Average speed = distance/ time = 340 miles/ 6 hours

                           = 56.66666666666 miles per hour

Rounding to the nearest tenth

                             = 56.7 miles per hour

Answer:

60 miles

Step-by-step explanation:

210=3.5

x =1

3.5×x= 210×1

3.5x=210

3.5x/3.5=210/3.5

x=60

Answer= 60 miles

Step-by-step explanation:

150 students overall.

an immediate assumption would be that these 150 students are the universal set of students taking these classes.

but we have to be careful and check. could it be that there are more than these 3 classes for the 150 students ? or that there is an option to be a student and not take any of the classes ?

the last question (c) suggests something like that.

so, these 150 students are the universal set for all these cases.

the sum of all students that took 2 classes contains also the ones that took all 3 classes. each of these students (that took all 3 classes) are then counted three times in these groups - one time for each pair of classes.

so, 26 + 28 + 32 - 22 - 22 = 42 is the number of students that took at least 2 classes (the subtraction of 2×22 eliminates two of the triple counting of the students that took all 3 classes).

since these 42 students contain also the ones with 3 courses, we need to subtract the 22 with 3 classes a third time again to get the number of students that had exactly 2 classes :

42 - 22 = 20.

so, we have 22 students attending all 3 class.

then 20 more attending exactly 2 classes.

in detail it means for these 20

26 - 22 = 4 had taken exactly math and physics.

28 - 22 = 6 had taken exactly math and chemistry.

32 - 22 = 10 had taken exactly chemistry and physics.

and that means for the individual classes

84 - 22 - 4 - 6 = 52 had taken math only.

64 - 22 - 6 - 10 = 26 had taken chemistry only.

48 - 22 - 4 - 10 = 12 had taken physics only.

in total

150 - 52 - 26 - 12 - 20 - 22 = 18

18 students of these 150 have not attended any of these 3 classes.

(a)

so,

52 + 26 + 12 = 90

90 students took one course only.

(b)

so, the number of students that had at most 2 classes is the number of students with exactly one class (90) and exactly 2 classes (20) AND the ones without any of these 3 classes : 90 + 20 + 18 = 128

128 students took at most 2 courses.

we could have gotten this also by saying all the students not taking all 3 classes : 150 - 22 = 128

(c)

the original assumption was that 150 students did at least one of the classes. but that was wrong.

we found that 18 students did not attend any of the classes.

that means that

150 - 18 = 132

132 students took at least one of the courses.

Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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Answer:

alternate interior angles are congruent