The ordered pair (a, b) satisfies the inequality y – 6 > 2x. Which statement is true?

Both trains will meet in 3 hours.

Step-by-step explanation:

Given,

Speed of train A = 45 mph

Distance covered in two hours = 2*45 = 90 miles

Let,

x be the number of hours for both trains.

A(x) = 45x+90

Speed of train B = 75 mph

B(x) = 75x

For same distance;

A(x) = B(x)

[tex]45x+90=75x\\90=75x-45x\\90=30x\\30x=90[/tex]

Dividing both sides by 30

[tex]\frac{30x}{30}=\frac{90}{30}\\x=3[/tex]

Both trains will meet in 3 hours.

Keywords: function, division

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Answer:

f^-1 (x)=1/2x+5

Step-by-step explanation:

y=2x-10

x=2y-10

2y=x+10

y=1/2x+10/2

y=1/2x+5

Use the basic kinematic equation of

Final velocity = initial velocity + acceleration * time (shown in image)

simply plug the numbers in to get

Velocity(final) = 0 + -9.80 m/s^2 * 1.55 s

to give us

-15.19 m/s for our final velocity

Answer: x=1

Step-by-step explanation:

(X+5)-2(4x-1)=0

(-2•4x) (-2•-1)

X+5-8x+2=0

X-8x+5+2=0

(5+2)=7

X-8x=-7

-7x= -7

X=1

Simplifying the given expression (x +5) -2(4x-1)=0 we get the solution of this expression is x = 1.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given expression,

(x +5) -2(4x-1)=0

Distributing the number inside the bracket we get,

x + 5 - 8x + 2 =0

Simplifying the like terms,

-7x + 7 = 0

Subtract 7 on both sides,

-7x = -7

Divide by -7 on both sides we get,

x = 1

Hence,

The solution of the expression is x = 1.

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Answer:

The height is 6 units.

The radius is 8 units.

The volume is 128 Pi cubic units

Step-by-step explanation:

The height is 6 units.

Use Pythagorean Theorem to find the radius.

6² + x² = 10²

36 + x² = 100

-36           -36

x² = 64

x = 8

V = πr²h/3

V = π(8)²6/3

V = π(64)2

V = 128π

Answer:

6,8,128

Step-by-step explanation:

Answer:

They both have the same slope.

They have different y- intercepts.

They have no solution.

Please let me know, if I am right or wrong. I try my best to give correct answers

Answer:

A

Step-by-step explanation:

The standard equation is

y = mx + c

Where m is the slope and c is the y intercept

The 1st equation y = -2x + 1/4

Comparing with standard equation

the slope m = -2 and c = 1/4

The 2nd equation y = -2x - 1/4

Comparing with standard equation

the slope m = -2 and c = -1/4

To check if it as a solution

y = -2x + 1/4.......(1)

y = -2x - 1/4........(2)

Substracting (2) from (1)

y - y = -2x + 2x + 1/4 + 1/4

No solution since both x and y were eliminated

Answer:

i multiplied them together and the result is 19740 but in decimal it would be 19740.0

Final answer:

To simplify 15 × 1316, you multiply to get 19740, which is rounded to 19700 when limited to three significant figures.

Explanation:

To simplify the expression 15 × 1316 in decimal form, you need to perform basic multiplication. Multiplying 15 times 1316 gives you a result of 19740.

However, to express this answer in terms of significant figures, specifically limiting to three significant figures, you would round this number to 19700, as the number 740 does not contribute to the first three significant digits.

The problem is asking to identify how many years would each color light last. We know that a red light turns on 50% of the time, a green light is 42% of the time, and yellow is 8% of the time. Each light lasts 100,000 hours.

Although this question gives a lot of information, we really don't need the percentages of the lights. They simply are there to throw you off. Each light lasts 100,000 hours. We will use the following conversions:

1 day = 24 hours

1 year = 365 days

100,000 hours divided by 24 hours = 4166.67 days

4166.67 days divided by 365 days = 11.4 years (the 4 is 4 months).

Answer: 141

Step-by-step explanation:

23 1/2 *6=141

Answer: -14/5

Step-by-step explanation:

24 ⅗ + 43 x (8 ⅕ - 2)

= 72/5 + 43 * (8/5 - 2)

= 72/5 + 43 * (8 - 10/5)

= 72/5 + 43 * (-2/5)

= 72/5 - 86/5

= -14/5

Answer:

1.85 %

Explanation:

APR refers to the "Annual Percentage Rate." This refers to the rate that is being charged to the borrower on a yearly basis.

It is very easy to get the monthly percentage rate once you know the APR. All you have to do is to divide the APR by the total number of months.

In the situation above, we just have to divide the APR of 22.2% by 12 (number of months on one year).

Answer:

Step-by-step explanation:

Tracking sales in a small convenience store does not require sophisticated sales monitoring software or expensive computer equipment, although basic point of sale software can save time and prevent mathematical errors. Daily monitoring of inventory, saving sales receipts and using a simple spreadsheet may be all you need to track sales. Depending on the size of your store and foot traffic the store receives each day, tracking sales may take only an hour or so each day.

Answer:

3 3/14

Step-by-step explanation:

First look for the LCM of the denominators 2 Andy 7. The LCM is 14.

then , divide the denominators by 14 and add the results to the numerators of both fractions divided by 14.

you‘ll have something like this 35+10/14

=45/14

= 3 3/14

=

answer: 9+(-3/4+1.25)-6= 3.5

Answer:

Step-by-step explanation:

9+ (- 3/4+1.25)-6 = 9 + (-0.75 + 1.25) - 6

 = 9 + 0.50 - 6

 = 3.50

Final answer:

Nancy bought 177 long sleeve shirts and 354 short sleeve shirts for her business by solving a system of linear equations based on the provided constraints that she bought a total of 531 shirts and twice as many short sleeve shirts as long sleeve shirts.

Explanation:

The student's question involves solving a system of linear equations to find out how many of each type of shirt Nancy bought for her business. Following the given relationships between long sleeve shirts (x) and short sleeve shirts (y), we understand that Nancy bought a total of 531 shirts and that she bought twice as many short sleeve shirts as long sleeve shirts. The two equations that can represent this scenario are:

Equation 1: x + y = 531

Equation 2: y = 2x

To solve this system, we substitute Equation 2 into Equation 1 to get:

x + 2x = 531

Which simplifies to:

3x = 531

Dividing both sides by 3, we find that:

x = 531 / 3 = 177

Using the value of x to find y from Equation 2, we get:

y = 2 * 177 = 35

Therefore, Nancy bought 177 long sleeve shirts and 354 short sleeve shirts.

Answer:

The answer we can solving the above division is 4.61

Step-by-step explanation:

Given:

The given divider is 7 and the given dividend is 32.27.

To find:

      Quotient and remainder

Formula:

The basic division formula that we all know is,  

Quotient + Remainder/Divisor = Dividend/Divisor

where we know both dividend and divisor.

By using normal division method we get,

           = 32.37/7

           = 4.61

Thus we got the quotient as four and remainder as six.

Answer:

x=12

Step-by-step explanation:

Answer:

x = 12

Add 6 to both sides, simplify then subtract x from both sides

Answer:

D. Less than $100,831

Step-by-step explanation:

There is an equation for calculating monthly payment:

x = p • r • (1+r)^n / (1+r)^n - 1

It may seem a bit complicated, but let's explain it step by step:

- p is the amount of loan, in this case $155,000

- r is monthly interest rate, in this case (4.4/12) / 100, which is 0.00367

- n is the number of months for paying back, or in this case 20 • 12 = 240

Now that we know all the values, all that's left is to plug them in and solve it on the calculator:

x = 155,000 • 0.00367 • (1.00367^240) / (1.00367^240) - 1

x = $972.27

So, the monthly payment is around $972.3. We now multiply it by the number of months to get total payment:

$973.3 • 240 = $233,352

So, the total amount, loan plus interest, is 233,352 dollars.

To only find amount of interest, we simply subtract loan from total amount:

$233,352 - $155,000 = $78,352

Question:

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each did she sell

Answer:

The number of small cups of lemonades  is 98

The number of Large cups of lemonades is 57

Step-by-step explanation:

Given:

Cost of small lemonade  cups = $1.25

Cost of large Lemonade cups =  $2.50

Total number of lemonade cups  = 155 cups

The total cost for which the lemonade is sold =  $265

To Find:

Number of each types of lemonade sold = ?

Solution:

Let the number of small cups of lemonade sold be x

the number of large cups of lemonade sold be y

Then according to the question,

x+y = 155-----------------------------(1)

Then the amount earned by  selling small and large lemonade cups is $265

Then

1.25x+2.50y = 265------------------(2)

From (1)

y = 155-x----------------------------------(3)

Substituting (3) in (2), we get

1.25x+ (155-x)2.50 = 265

1.25 + (387.5 -2.50x) =265

-1.25x + 387.5 = 265

-1.25x= 265 -387.5

-1.25x =  -122.5

[tex]x = \frac{-122.5}{-1.25}[/tex]

x= 98--------------------------------(4)

Substituting (4) in (3)

y = 155-98

y =57

Answer:

Step-by-step explanation:

5(3m + n) = 15m + 5n

Final answer:

The expression equivalent to 5(3m + n) is found by applying the distributive property, resulting in 15m + 5n, where the 5 is multiplied by each term inside the parentheses.

Explanation:

The expression 5(3m + n) is an example of the distributive property in algebra. To find an expression equivalent to this, we need to distribute the 5 across the terms inside the parentheses. This means we multiply 5 by each term inside the parentheses.

Putting these two results together, the equivalent expression is 15m + 5n. This is a straightforward application of the distributive property, which is a fundamental concept in algebra.

Answer:

19

Step-by-step explanation:

4+5x

Since x=3

4+5(3)

4+15

19

Answer:

12 and -1

Step-by-step explanation:

12(-1) = -12

12 + (-1) = 11

Exponential functions include numbers that are doubled. For example, an ordered pair such as (2, 4), (3, 8), (4, 16) the y values are doubled, so it is an exponential funcion.

Answer:

rtetrt343444

Step-by-step explanation:

rewrew

Mrs. Lin needs a total of [tex]6 \frac{13}{24} \text{ yards}[/tex] yards of fabric for all the costumes.

To find out how much fabric Mrs. Lin needs for all the costumes, we need to calculate the total yardage required for each type of costume and then sum them up.

Given:

- Bear costume requires 2 1/4 yards.

- Lion costume requires 1 2/3 yards.

- Zebra costume requires 2 5/8 yards.

Let's calculate the total yardage required for each type of costume:

1. Bear costume:

[tex]\[ \text{Yardage for bear} = 2 \frac{1}{4} \text{ yards} \][/tex]

2. Lion costume:

[tex]\[ \text{Yardage for lion} = 1 \frac{2}{3} \text{ yards} \][/tex]

3. Zebra costume:

[tex]\[ \text{Yardage for zebra} = 2 \frac{5}{8} \text{ yards} \][/tex]

Now, let's convert all these mixed numbers into improper fractions:

1. Bear costume:

[tex]\[ \text{Yardage for bear} = 2 + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \text{ yards} \][/tex]

2. Lion costume:

[tex]\[ \text{Yardage for lion} = 1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3} \text{ yards} \][/tex]

3. Zebra costume:

[tex]\[ \text{Yardage for zebra} = 2 + \frac{5}{8} = \frac{16}{8} + \frac{5}{8} = \frac{21}{8} \text{ yards} \][/tex]

Now, let's sum up the yardages for all the costumes:

[tex]\[ \text{Total yardage} = \text{Yardage for bear} + \text{Yardage for lion} + \text{Yardage for zebra} \][/tex]

[tex]\[ \text{Total yardage} = \frac{9}{4} + \frac{5}{3} + \frac{21}{8} \text{ yards} \][/tex]

To add these fractions, we need to find a common denominator, which is 24:

[tex]\[ \text{Total yardage} = \frac{9 \times 6}{4 \times 6} + \frac{5 \times 8}{3 \times 8} + \frac{21 \times 3}{8 \times 3} \][/tex]

[tex]\[ \text{Total yardage} = \frac{54}{24} + \frac{40}{24} + \frac{63}{24} \][/tex]

Now, let's add the fractions:

[tex]\[ \text{Total yardage} = \frac{54 + 40 + 63}{24} \][/tex]

[tex]\[ \text{Total yardage} = \frac{157}{24} \][/tex]

Now, let's convert the improper fraction to a mixed number:

[tex]\[ \text{Total yardage} = 6 \frac{13}{24} \text{ yards} \][/tex]

So, Mrs. Lin needs a total of [tex]6 \frac{13}{24} \text{ yards}[/tex] yards of fabric for all the costumes.

complete question given below:

Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes. Fabric costs $7.49 per yard. How much fabric does Mrs. Lin need?

Bear= 2 1/4 yards

Lion= 1 2/3 yards

Zebra= 2 5/8 yards

Answer:

(-4+(-6))+(6i-2i)

(-10+4i)

Answer:

-10+4i = -2(5-2i)

Step-by-step explanation:

(-4+6i) + (-6-2i)

Collecting like terms

(-4-6) + (6i-2i)

-10+4i

-2(5-2i)