The ratio of 1.2 to 32 is the same as the ratio of 4.8 to ———-.

Answer: The ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10

Step-by-step explanation:

To find the ratio of the time spent on the job estimate to the total time spent on the job, we need to divide the time spent on the estimate by the total time spent on the job, and then express the result as a fraction.

First, we need to convert both times to minutes.

15 minutes for the job estimate

2 hours = 2*60 = 120 minutes

30 minutes

Total time spent on the job = 120 + 30 = 150 minutes

Now we can divide the time spent on the estimate by the total time spent on the job:

15 minutes / 150 minutes = 1/10

So the ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10

The ordered pair of coordinates is (0, 28)

To answer to the question given, we have to find the point on the line that goes through the points given in the table when the x-axis represents the month of the year  and the y-axis represents the average temperature for that month.

We can read out this ordered pair from the attached graph

In conclusion, the graph displays the point on that line which is on the y-axis is (0, 28).

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Answer:

Inequalities:

[tex]\begin{array}{|l|c|c|}\cline{1-3} \vphantom{\dfrac12} & \sf Viable & \sf Nonviable\\\cline{1-3} \vphantom{\dfrac12} (10,25)& \checkmark & \\\cline{1-3} \vphantom{\dfrac12} (10,20)&&\checkmark \\\cline{1-3} \vphantom{\dfrac12} (20,12)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (35,0)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (20,20)&&\checkmark \\\cline{1-3}\end{array}[/tex]

Step-by-step explanation:

Definition of variables:

Given information:

The inequality that represents Barrett working no more than 35 hours is:

The inequality that represents Barrett earning at least $400 is:

To determine if each point is a viable or nonviable solution, substitute each point into the two inequalities.  If both inequalities are true, the solution is viable.

[tex]\begin{aligned}(10,25) \implies 10+25 &\leq 35\\35& \leq 35 \leftarrow \sf true\\\\ \implies 15(10)+10(25)&\geq400\\400&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (10, 25) is a viable solution.

[tex]\begin{aligned}(10,20) \implies 10+20 &\leq 35\\30& \leq 35 \leftarrow \sf true\\\\ \implies 15(10)+10(20)&\geq400\\350&\geq 400 \leftarrow \sf false\end{aligned}[/tex]

Therefore, point (10, 20) is not a viable solution.

[tex]\begin{aligned}(20,12) \implies 20+12 &\leq 35\\32& \leq 35 \leftarrow \sf true\\\\ \implies 15(20)+10(12)&\geq400\\420&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (20, 12) is a viable solution.

[tex]\begin{aligned}(35,0) \implies 35+0 &\leq 35\\32& \leq 35 \leftarrow \sf true\\\\ \implies 15(35)+10(0)&\geq400\\525&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (35,0) is a viable solution.

[tex]\begin{aligned}(20,20) \implies 20+20 &\leq 35\\40& \leq 35 \leftarrow \sf false\\\\ \implies 15(20)+10(20)&\geq400\\500&\geq 400 \leftarrow \sf true\end{aligned}[/tex]

Therefore, point (20, 20) is not a viable solution.

[tex]\begin{array}{|l|c|c|}\cline{1-3} \vphantom{\dfrac12} & \sf Viable & \sf Nonviable\\\cline{1-3} \vphantom{\dfrac12} (10,25)& \checkmark & \\\cline{1-3} \vphantom{\dfrac12} (10,20)&&\checkmark \\\cline{1-3} \vphantom{\dfrac12} (20,12)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (35,0)&\checkmark& \\\cline{1-3} \vphantom{\dfrac12} (20,20)&&\checkmark \\\cline{1-3}\end{array}[/tex]

The amount that will be realized after 7years is $3459.5

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Amount in Compound interest is given as:

A = P(1+r/n)^nt

Where A is the amount

P is the principal

t is the duration and

n is the period of compoundment

r is the rate

n= ¼, r = 3.5/100 = 0.035

therefore A = 2750(1+0.035/0.25)^0.25×7

A = 2750( 1+0.14)^1.75

A= 2750(1.14)^1.75

A = 2750×1.258

A = $3459.5

Therefore the amount after 7 years is $3459.5

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Answer:

41, 49

Step-by-step explanation

It goes up in 8 if you work out 25-17 or 33-25.

33+8=41, 41+8=49

Answer:

68

Step-by-step explanation:

52+8=60

60+8=68

each time I add 8

Answer: 8n+4

Step-by-step explanation:

The numbers go up in 8, so we know its 8n.

If you put the 8 times table above these set of numbers, yo would get this-

8, 16, 24, 32, 40, 48, 56...

4, 12, 20, 28, 36, 44, 52...

Therefore you must add 4 to get to 8.

1. The number of days is, 21/5

2. The cost of 100 kg rice is,  4520

3. The teachers required are, 120

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

1. Given that,

3 men can complete a work in 7 days

So, we can say magnitude of work is

M = 3 × 7 =21 unit

now, 5 men are working

So,  magnitude of work is same

M = 5 × n

21 = 5 × n

n = 21/5 days

2. the cost of 25kg rice is 1130

price for 1 kg = 1130/25 =45.2

price for 100 kg = 45.2 × 100

                           =  4520

3. 90 teachers required for 1500 students,

1 teacher is expected to handle 1500/90 students,

So, for 2000 students

Teachers required = 2000/(1500/90) = 120

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Answer:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, etc.

Step-by-step explanation:

It's counting by two's.

Answer:

To calculate the amount you would need to invest in a money market account to have $5,000 at the end of 3 years, we can use the formula for future value of an investment:

FV = PV(1+r)^n

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), and n is the number of compounding periods.

In this case,

FV = $5,000 (future value)

r = 5% (APR) = 0.05 (as a decimal)

n = 3 years * 12 (months) = 36

So we can use the formula:

PV = FV / (1 + r)^n

PV = $5,000 / (1 + 0.05)^36

PV ≈ $3,716.76

So you would need to invest $3,716.76 in the money market account to have $5,000 in the account at the end of 3 years.

Answer:

Using an ID reader while checking IDs can make it easier to quickly and accurately verify the authenticity of the ID and the information it contains

Step-by-step explanation:

When checking IDs, it might be simpler to quickly and precisely confirm the validity of the ID and the information it includes by using an ID reader. RFID (radio frequency identification) or barcode or magnetic stripe scanning technology is used by ID readers to swiftly read and decipher the data on the ID. Since there is no longer a need to manually read and compare the information on an ID to a reference document, doing so can speed up and improve the efficiency of ID verification. By automatically cross-referencing the information with a database to confirm that the ID is legitimate and the person presenting it is the legal owner, ID scanners may also aid in the prevention of mistakes and fraud.

Answer: Identify security features

Step-by-step explanation:

Using an ID reader while checking IDs can make it easier to identify security features that don't appear under regular light. O enlarge the small text of microprinting, display data associated with the ID such as age and other information. spot pinholes, cut marks, and other evidence of tampering.

Answer:

(a) Law connecting the variables:

[tex]M = \frac{5}{8}Ir^{2}[/tex]

(b) r = 8 and r = -8

Step-by-step explanation:

(a) Equation for a joint variation is:

             [tex]M = KIr^{2}[/tex]   where K is the constant

Substituting the provided values of M, I and r:

        =  [tex]20 = K(8)(2^{2} )[/tex]

        =  [tex]20 = K(8)(4)[/tex]

        = 20 = 32K

        = [tex]K = \frac{20}{32}[/tex]

[Divide the numerator and the denominator by the highest common factor (i.e. 4)]

       = [tex]K = \frac{5}{8}[/tex]

Therefore:

[tex]M = \frac{5}{8}Ir^{2}[/tex]

(b) [tex]M = \frac{5}{8} I r^{2}[/tex]

Substituting the values of M and I:

[tex]400 = \frac{5}{8} (10)r^{2}[/tex]

[tex]400 = \frac{5}{8} (10)r^{2}[/tex]

[tex]400 = \frac{50}{8} r^{2}[/tex]

[tex]\frac{(400)(8)}{500} =r^{2}[/tex]

[tex]\frac{3200}{50} = r^{2}[/tex]

[tex]64 =r^{2}[/tex]

Taking the square root on both sides of the equation:

[tex]r = \sqrt{64}[/tex]

[tex]r = 8[/tex] and [tex]r = -8[/tex]

To divide 3/4 by 1/2 using unit rate proportionality, we can set up a proportion with 3/4 as the numerator and 1/2 as the denominator, and then cross-multiply and solve for the unknown value.

3/4 / 1/2 = X

To solve for X, we can cross-multiply to get:

(3/4) * (2/1) = X * (1/2)

Which simplifies to:

3/2 = X

So 3/4 divided by 1/2 is equal to 3/2.

It's important to note that when dividing fractions, we can also simply invert the divisor and multiply the two fractions, 3/4 * 2/1 = 6/4 =3/2.

Answer:

Let's call the amount his wife paid for her car "x". We know that:

Marc's car = $52,000

Marc's car = 2x - $7,600

We can substitute the first equation into the second equation

52,000= 2x-7600

52,000+7600=2x

59,600=2x

x=29,800

His wife paid $29,800 for her car.

Answer:

$29,800.00

Step-by-step explanation:

52000 = 2x - 7600  Add 7600 to both sides

52000 + 7600 = 2x

59600 = 2x  Divide both sides by 2

29800 = x

When you deposit your funds in a financial institution such as a bank, your money is protected by the Federal Deposit Insurance Corporation (FDIC).

What is deposit in bank ?

deposit in bank nothing but when we want to store the money and by depositing the money in the bank ensures us more security.

Deposit coverage is one of the sizable benefits of getting an account at an FDIC-insured bank—it’s how the FDIC protects your cash within the not going event of a bank failure. the usual insurance amount is $250,000 according to depositor, according to insured bank, for each account possession category. and you don’t need to purchase deposit insurance. in case you open a deposit account in an FDIC-insured bank, you're mechanically blanketed. test out the assets in this page to learn extra about deposit coverage.

Hence, When you deposit your funds in a financial institution such as a bank, your money is protected by the Federal Deposit Insurance Corporation (FDIC).

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Answer:

C. the Federal Deposit Insurance Corporation (FDIC)

Step-by-step explanation:

The exact value of x depends on the context of the problem. Without any additional information, it is impossible to answer this question.

Answer:

0.857

Step-by-step explanation:

                   ----------------

               7  |   6

7 goes 0 times into 6, so we write a 0.

                       0.

                   ----------------

               7  |   6.0

Add .0 to 6 to get 6.0

7 goes 8 times into 60.

8 × 7 = 56

                       0.8

                   ----------------

               7  |   6.0

                  -    5.6

                ------------

60 - 56 = 4

Write another 0, 6.00, and bring down a zero.

                       0.8

                   ----------------

               7  |   6.00

                  -    5.6

                ------------

                           40

7 goes 5 times into 40.

                      0.85

                   ----------------

               7  |   6.00

                  -    5.6

                ------------

                           40

                      -    35

                      ---------

40 - 35 = 5

Add another 0 to 6.00 to get 6.000; bring down that zero.

Now you have 50.

                      0.857

                   ----------------

               7  |   6.000

                  -    5.6

                ------------

                           40

                      -    35

                      ---------

                              50

7 goes 7 times into 50.

7 × 7 = 49

Add a zero, bring down a zero,

                      0.857

                   ----------------

               7  |   6.0000

                  -    5.6

                ------------

                           40

                      -    35

                      ---------

                              50

                          -   49

                         -----------

                                  10

7 goes 1 time into 10.

You end up with 0.8571

                     0.8571

                   ----------------

               7  |   6.0000

                  -    5.6

                ------------

                           40

                      -    35

                      ---------

                              50

                          -   49

                         -----------

                                  10

                              -     7

                          -----------

                                    3

0.8571 rounds to 0.857

Answer: 2800 Tiles

Step-by-step explanation: area of the room = l × b

                                             = 350 × 200 = 70,000

  Area covered by one tile = 5 × 5 = 25

 No. of tiles required to cover entire room = 70,000/25

                                                                       =  2,800

total 2,800 tiles would be needed to tile the complete room.

Answer:

Step-by-step explanation:

Just divide the two areas 350 x 200 /(5 x 5)

350 x 8 = 2800 tiles

Considering the figure the value of angle b is

According to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.

hence angle a = angle y

Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.

angle b = angle a + 90

= 34 + 90

= 124 degrees

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Answer:

7

Step-by-step explanation:

77 divided by 11 is 7

The function is increasing and negative on (3п/2, 2п)

Answer:

A

Step-by-step explanation:

y + 4 = x is represented in this equation as -3 + 4 = 1

x + y = -6 is represented in this equation as -4 + -2 = -6

"A" fits these equations and the coordinate attached: (-1, -5) matches the point of intersection.

Quadratic equations is another name for them. ax² + bx + c = 0 is the quadratic equation's general form.

A polynomial of degree two in one or more variables is referred to as a quadratic polynomial in mathematics. A polynomial function that is defined by a quadratic polynomial is known as a quadratic function.

A second-degree polynomial equation, which must contain at least one squared component, is what is known as a quadratic. Quadratic equations is another name for them. ax² + bx + c = 0 is the quadratic equation's general form.

A parabola is a curved form that represents the graph of a quadratic function. A parabola's vertex is one of its focal points. Its graph's highest or lowest point is where it is. Consider it similar to the parabola's endpoint.

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Answer:

The derivative of f(x) = 3 ÷ x + 2 is f'(x) = -3 ÷ (x+2)².

Step-by-step explanation:

This is found by using the first principle method of differentiation, which states that the derivative of a function is the rate of change of the function with respect to the indepedent variable. In other words, the derivative of a function measures how much the output of the function changes with respect to a small change in the input.

To find the derivative of f(x) = 3 ÷ x + 2, we start by taking the limit as h approaches 0 of the difference quotient (f(x + h) - f(x)) ÷ h.

The difference quotient is (3 ÷ (x + h + 2) - 3 ÷ (x + 2)) ÷ h. Simplified, this becomes 3h ÷ (x + h + 2)(x + 2).

When h approaches 0, the difference quotient becomes 3 ÷ (x + 2)², which is the derivative of f(x).

The average speed for the whole journey will be 62.33 km per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

Since Dwight drives 85 km at an average speed of 120 km/h and then 6 km at 90 km/h without stopping.

The average speed for the whole journey will be:

= (85 + 6) / (85 / 120) + (90 / 120)

= 91 / (0.71 + 0.75)

= 62.33 km per hour.

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Answer:

Hope this helps! Enjoy Learning!:D

Toddler triplets whose names are red, green and blue each have a coat whose colour is given by their name, There are  6ways it can be selected

Generally, There are 3! = 6 ways for the toddler triplets to choose their coats, but since the question asks for exactly one of them to end up with their coat, we need to consider the 3 cases where exactly one of them chooses their coat.

In the case where Red chooses their own coat, there are 2! = 2 ways for Green and Blue to choose their coats. In the case where Green chooses their own coat, there are 2! = 2 ways for Red and Blue to choose their coats. In the case where Blue chooses their own coat, there are 2! = 2 ways for Red and Green to choose their coats.

So in total, there are 2 + 2 + 2 = 6 ways for exactly one of the toddler triplets to end up with their coat.

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The algebraic expression of 8 minus the product of 9 and r is 8 - 9r

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

8 minus the product of 9 and r

The product of 9 and r can be represented as 9r

So, we have the following representation

8 minus 9r

Minus means -

So, we have

8 - 9r

Hence, the expression is 8 - 9r

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