Which two ratios represent quantities that are proportional?
O A. 2 and 1
B.
56
64
and
36
48
c. fo and
O D. and 1

Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

Answer:

I think the image above will help you.

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

The solution to the system of equation are x=2, y=0, z=6

Step-by-step explanation:

System of equations

System of equations are equations that contains unknown variables.

Given the equations

3x+y+2z=8

8y+6z=36

12y+2z=12

From equation 2 and 3

8y+6z=36 * 1

12y+2z=12 * 3

______________

8y+6z=36

36y+6z= 36

Subtract

8y - 36y = 36 - 36

-28y =0

y = 0

Substitute y = 0 into equation 2

8(0)+6z=36

6z = 36

z = 6

From equation 1

3x+y+2z =8

3x + 0 + 2(6) = 8

3x = 8 - 12

3x = 6

x = 2

Keisha budget will not be able cover her 4-year college.

Expenses are the cost we pay to fulfill our demands such as rent expense , eating , college fees etc. whereas Funding is a source where we get money to fulfil our expenses.

(a) Tuition and fees : Expense

Books and supplies : Expense

Work-study (part-time job) : Funding

Scholarships: Funding

Personal expenses: Expense

Housing and food: Expense

Grants: Funding

Transportation: Expense

Student loans: Funding

(b) Total amount of her estimated expenses is $62,760

(c) Total amount of her estimated funding is $57,280

(d)No , She will need an additional $5,480 to cover her education

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Answer:

18%

Step-by-step explanation:

There are 1000 grams to a kilogram, so to find the percentage of a kilogram, simply divide by 1000.

180 ÷ 1000 = 0.18 kilograms (or 18%)

Answer

18%

Step-by-step explanation:

One kilogram is a thousand grams and one gram is .1% of one kilogram. So 180 grams would be 18.0% kilograms

(but you can drop the zero to 18%)

Answer:

x= 6

Step-by-step explanation:

h ( x ) = x - 11

h ( 6 ) = 6- 11

h = -5

Yes , the arithmetic sequence ( written as sequences of the form (a , a+k , a+2k , a+3k for some constants a and k ) is a subspace of V .

To determine whether subsets of V in the arithmetic sequences are subspaces of V, we check if they satisfy the three conditions for a subset to be a subspace:

(i) The subset must contain the zero vector.

(ii) The subset must be closed under vector addition.

(iii) The subset must be closed under scalar multiplication.

Let S be a subset of V consisting of arithmetic sequences.

Now we check the three conditions :

(i) We find an arithmetic sequence in S that has all its terms equal to zero. The only arithmetic sequence that satisfies this is the sequence (0, 0, 0, 0, ...), which is in S.

So , the subset "S" contains zero vector.

(ii) Next we need to show that if u and v are two arithmetic sequences in S, then their sum "u + v" is also an arithmetic sequence in S.

Let U = (a, a+k, a+2k, a+3k, ...) and V = (b, b+l, b+2l, b+3l, ...) be two arithmetic sequences in S.

Then, their sum is ⇒ u+v = (a+b, a+k+b+l, a+2k+b+2l, a+3k+b+3l, ...).

This is also an arithmetic sequence,

So , subset "S" is closed under vector addition.

(iii) Next , we show that if U is an arithmetic sequence in S and C is a scalar, then CU is also an arithmetic sequence in S.

Let U = (a, a+k, a+2k, a+3k, ...) be an arithmetic sequence in S, and let c be a scalar.

we get , CU = (ca, ca+ck, ca+2ck, ca+3ck, ...) is also an arithmetic sequence,

So , subset "S" is closed under scalar multiplication.

we see that , S satisfies all three conditions, it is a subspace of V.

Therefore, any subset of V consisting of arithmetic sequences is a subspace of V.

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The given question is incomplete , the complete question is

Let V be the space of all infinite sequences of real numbers , Which of the subsets of V in The arithmetic sequences [i.e. sequences of the form (a , a+k , a+2k , a+3k for some constants a and k] are subspaces of V ?

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

Step-by-step explanation:

m

2

+

2

m

+

1

2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

2

m

=

2

⋅

m

⋅

1

Rewrite the polynomial.

m

2

+

2

⋅

m

⋅

1

+

1

2

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where

a

=

m

and

b

=

1

.

(

m

+

1

)

2

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

  an infinitely long time

Step-by-step explanation:

You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.

The kitten runs slower than the puppy, so can never catch up to it.

<95141404393>

Answer:

3 or -3

Step-by-step explanation:

sqrt(9)

What number multiplied by itself will give you 9

3*3 =9

-3 * -3 =9

The square root of 9 is 3 or -3

Answer:28

Step-by-step explanation:

100-50%=50

50-30%=35

35-20%=28

the answer is 28

The total discount as a percent of the original price is 72%.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

The initial price of the sneakers was $100.

After the first discount of 50%, the price becomes:

$100 - 50%*$100 = $50

Then, the store manager marks down the price by another 30%:

$50 - 30%*$50 = $35

Finally, the discounted price is reduced by 20%:

$35 - 20%*$35 = $28

Therefore, the total discount is:

$100 - $28 = $72

The discount as a percent of the original price is:

$72/$100 * 100% = 72%

Thus,

The total discount as a percent of the original price is 72%.

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Answer:

0.17

Step-by-step explanation:

area of square = 6*6 = 36

area of triangle is (bh)/2 = (4*3)/2=(12)/2=6

6/36 =1/6 = 0.1666666666666 which rounded to the nearest hundredth is 0.17

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

500500

Step-by-step explanation:

intergers are whole numbers which are not fractions

The measure of the angle ∠ABC  is given by 45°

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here: ΔABC with AB=√2, AM=1,BM=1 and BC=2

Now in ΔABM we have two sides equal AM=1,BM=1

and AB=√2

Thus AM²+BM²=AB²

Thus the triangle must be a right angled triangle with AB as its hypotenuse

let ∠B=Ф then we have TanФ=1/1

                                         ⇒ Ф=45°

Hence, The measure of the angle ∠ABC  is given by 45°

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Answer

A. 12

Explanation

The outcome of a roll of die and then shooting a basket will take a sample space;

A die: 1,, 2, 3, 4, 5, 6.

Shoot a basket: Success (S) or Failure (F).

Both occurring the together, we have

Therefore there are 12 outcomes in the sample space

Answer:

Option D: 224

Step-by-step explanation:

\( \sf (20 + d)d\)

Insert the value d = 8

\( \sf(20 + 8)8\)

Add

\( \sf (28)8\)

multiply

\( \sf 224\)

Answer:

182 miles

Step-by-step explanation:

15 gallons -------------------------  420 miles

1 gallons --------------------------- 420/15 miles

1 gallons   ---------------------------  28 miles

6.5 gallons  -------------------------- 6.5 × 28 miles

6.5 gallons  --------------------------  182 miles

The car can go 182 miles on 6.5 gallons.

It is given that the a car can go 420 miles on a tank of gas of 15 gallons in a tank.

It is required to find the how many kilometers can this car go on 6.5 gallons.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

We have a car can go 420 miles on 15 gallons gas.

A car can go on 1 gallon = \(\frac{420}{15}\) = 28 miles ie.

A car can go on 1 gallon = 28 miles

On 6.5 gallons car can go = 6.5×28

= 182 miles

Thus, the car can go 182 miles on 6.5 gallons.

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The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

90 i think

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

divide 27 by thirty then multiply by 100

The true statement, regarding the signal of the graphed function, is given by:

F(x) > 0 over the interval (–∞, –4).

Looking at it's graph, we have that:

Researching this problem on the internet and looking at the graph of the function, the function is negative for all values to the right of x = -4,  and positive to the left, hence the correct statement is given by:

F(x) > 0 over the interval (–∞, –4).

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