sam reads 100 words each 1/2 minute

Answer:

10 km/h  

Step-by-step explanation:

Let s = man's speed and c = speed of current

    s + c = 15

         c = 2.5     Insert value of c

s + 2.5 = 15        Subtract 2.5 from each side

        s = 12.5 km/h

=====

Speed against current

= 12.5 – 2.5

= 10 km/h

To model the population increase, use the formula P = P0 * (1 + r)^t, where P is the final population, P0 is the initial population, r is the annual growth rate, and t is the number of years. The population after 15 years can be found by substituting t = 15 into the function.

To model the population increase, we can use the formula for exponential growth.

The formula is P = P0 * (1 + r)^t, where P is the final population, P0 is the initial population, r is the annual growth rate (as a decimal), and t is the number of years.

In this case, the initial population is 1,500 and the annual growth rate is 15%. So the exponential function to model the population increase is P = 1500 * (1 + 0.15)^t.

To find the population after 15 years, we can substitute t = 15 into the function. P = 1500 * (1 + 0.15)^15

Answer:

the distance is 14

Step-by-step explanation:

To find the distance between 2 points, we can use the distance formula

d = sqrt( (x2-x1)^2 + (y2-y1) ^2 )

d = sqrt( (-3--3)^2 +(-9-5) ^2 )

= sqrt( (-3+3)^2 + (-14)^ 2)

= sqrt(0^2 +14^2)

= sqrt( 14^2)

= 14

Hi there! :)

Answer:

14

*The answer must have a positive sign.*

Step-by-step explanation:

[tex]x=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]

[tex]x=\sqrt{(-3--3)^2+(-9-5)^2}[/tex]

[tex]x=\sqrt{(-3+3)^2+(-14)^2}[/tex]

[tex]x=\sqrt{(0^2+14^2)}[/tex]

[tex]x=\sqrt{14^2=14}[/tex]

Final answer is 14.

Hope this helps!

Thanks!

-Charlie

Have a nice day! :)

:D

Answer: $31.99

Step-by-step explanation:

So, it is originally $39.99, so first we convert 20% to a decimal, which is 0.2.

Then we do 39.99 * 0.2 to find how much money was taken off.

39.99 * 0.2 = 7.998, or $8

Now, we do the original dollar amount, $39.99, minus the discount, $8, which equals $31.99.

Answer:

1)p/4,2,1,1.625   2)x+1,3/2,5,7.5

Step-by-step explanation:

1) p/4

1/2 divided by 4=2

4/4=1

6.5/4=1.625

2) x+1

1/2+1=3/2

4+1=5

6.5+1=7.5

Answer:

15z-5

Step-by-step explanation:

12z+3z=15z

-5=-5

Answer:

-3(-4y + 3) + 7y

distribute the -3 through the parenthesis

12y - 9 + 7y

19y - 9

Lettter A

Step-by-step explanation:

Answer:

The helicopter still needs to fly up sec 17.0886 at maximum speed.

Step-by-step explanation:

Answer:

y = -1/4x - 2

Step-by-step explanation:

Step 1: The y-intercept is on the y-axis line. The y-intercept in this graph is -2.

Step 2: To find the slope. The line is going downwards so that helps us know that the slope is going to be negative. You want to get the bottom point to the top. So move upwards 1 time and move 4 times to the left.

Step 3: Now just put everything together.

Answer:

Hence final answer is 144.

Step-by-step explanation:

Expression is not typed in proper format but as per given instruction "evaluate the exponent", I think it is:

[tex]\left(-12\right)^2[/tex]

So let's simplify that:

[tex]\left(-12\right)^2[/tex]

[tex]=\left(-12\right)\left(-12\right)[/tex]

[tex]=+144[/tex]  {Since product of two negative numbers is always positive.

[tex]=144[/tex]  

Hence final answer is 144.

Answer:

Solve for y

.

Tap for fewer steps...

Subtract 7x

from both sides of the equation.

−4y=−7x+28

Divide each term by −4

and simplify.

Tap for fewer steps...

Divide each term in −4y=−7x+28

by −4

.

−4y−4=−7x−4+28−4

Simplify the left side of the equation

by cancelling the common factors.

Tap for fewer steps...

Reduce the expression by cancelling the common factors.

Tap for fewer steps...

Factor 4

out of 4y

.

−4(y)−4=−7x−4+28−4

Move the negative one from the denominator of y−1

.

−(−1⋅y)=−7x−4+28−4

Simplify the expression.

Tap for fewer steps...

Multiply −1

by y

.

−(−1y)=−7x−4+28−4

Rewrite −1y

as −y

.

y=−7x−4+28−4

Simplify each term.

Tap for fewer steps...

Move the negative in front of the fraction.

y=7x4+28−4

Simplify −−7x4

.

Tap for fewer steps...

Multiply −1

by −1

.

y=1(7x4)+28−4

Multiply 7x4

by 1

.

y=7x4+28−4

Divide 28

by −4

.

y=7x4−7

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Find the values of m

and b using the form y=mx+b

.

m=74

b=−7

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 74

Y-Intercept: −7

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Tap for fewer steps...

Choose 0

to substitute in for x

to find the ordered pair.

Tap for fewer steps...

Replace the variable x

with 0

in the expression.

f(0)=7(0)4−7

Simplify the result.

Tap for fewer steps...

Multiply 7

by 0

.

f(0)=04−7

Divide 0

by 4

.

f(0)=0−7

Subtract 7

from 0

.

f(0)=−7

The final answer is −7

.

−7

The first point is (0,−7)

.

(0,−7)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for fewer steps...

Replace the variable x

with 1

in the expression.

f(1)=7(1)4−7

Simplify the result.

Tap for fewer steps...

Multiply 7

by 1

.

f(1)=74−7

To write −−71

as a fraction with a common denominator, multiply by 44

.

f(1)=74+−71⋅44

Write each expression with a common denominator of 4

, by multiplying each by an appropriate factor of 1

.

Tap for fewer steps...

Combine.

f(1)=74+−7⋅41⋅4

Multiply 4

by 1

.

f(1)=74+−7⋅44

Combine the numerators over the common denominator.

f(1)=7−7⋅44

Simplify the numerator.

Tap for fewer steps...

Multiply −7

by 4

.

f(1)=7−284

Subtract 28

from 7

.

f(1)=−214

Move the negative in front of the fraction.

f(1)=−214

The final answer is −214

.

−214

The second point is (1,−214)

.

(1,−214)

Create a table of the x

and y

values.

xy0−71−214

Graph the line using the slope and the y-intercept, or the points.

Slope: 74

Y-Intercept: −7

xy0−71−214

Step-by-step explanation:

The following picture is how you graph the equation 2x+4y=28

Your answer will be -23.75. Please let me know if you need something different or have any questions or concerns. Hope I helped.

[tex]\left(-\dfrac{14}{19}\right)\left(-1\dfrac{5}{14}\right)\\\\\text{the product of two negative numbers is positive}\\\\\text{convert the mixed number to the improper fraction}\\\\\left(\dfrac{14}{19}\right)\left(\dfrac{14+5}{14}\right)=\dfrac{14\!\!\!\!\!\diagup^1}{19\!\!\!\!\!\diagup_1}\cdot\dfrac{19\!\!\!\!\!\diagup^1}{14\!\!\!\!\!\diagup_1}=1[/tex]

Answer:

1

Step-by-step explanation:

(-14/19)(-1 5/14)

We need to convert -1 5 /14 to an improper fraction so we can multiply

-1 5/14 = - (14*1 +5) /14  = -19/14

(-14/19) * (-19/14)

=1

[tex] \bold{FOR \: 1st \: image }[/tex]

By straight line angles property,

▶60 + 4x +20 =180

▶80 +4x =180

▶4x = 180 -80

▶4x = 100

x = 25

So, Second angle

▶4 ×25 +20

▶100 + 20

▶120

[tex] \bold{FOR \: 2nd \: image }[/tex]

3x + x =116

4x=116

x = 29

other angle = 3 ×29

=87

[tex] \bold{FOR \: 3rd \: image }[/tex]

ANGLE CAB + ANGLE ACB = 90

2x + x + 30 =90

3x + 30 =90

3x = 90 - 30

3x= 60

x=20

So, angle CAB = 2 ×20 = 40

Answer:

c< 7

Step-by-step explanation:

the product of c and 7 is less than 49

Product means multiply

7c< 49

Divide each side by 7

7c/7 < 49/7

c< 7

Answer:

C = 7

Step-by-step explanation:

Equation:

C * 7 = 49

The opposite of multiplication is division, so we can find the solution through division:

49 / 7

= 7

C equals 7

We can check our work through multiplication:

7 * 7 = 49

Good Luck,

- I.A. -

Answer:

f(-2) = 4

f(0) = 6

f(5) = 11

Step-by-step explanation:

f(x)=x+6 when x = -2

Substitute x=-2

f(-2) = -2+6

f(-2) = 4

f(x)=x+6 when x = 0

Substitute x=0

f(0) = 0+6

f(0) = 6

f(x)=x+6 when x = 5

Substitute x=5

f(5) = 5+6

f(5) = 11

Answer:

Let p =Harry's papers  

Then 3p =Bill's papers (3 times the number Harry has)  

Then 3p + 26 = Sue's papers (26 more than Bill)

Answer:

1  x=-2.5  y = -5.5

2.  x=5  y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2

Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

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

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5

2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23

Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128

Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115

Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

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

      13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5

Answer:

50 dollars

Step-by-step explanation:

40*25%=10

40+10= 50 dollars

Add it to find the original sales price which would end up being 50 dollars! Hope this helps, have a good day. c;

To find out how many times greater 6 x 10^-5 is than 5 x 10^-9, you divide the first number by the second number. The result, in standard form, is 12,000,000 or 1.2 x 10^7. Thus, 6 x 10^-5 is 12,000,000 times greater than 5 x 10^-9.

The question is asking us to determine how many times greater 6 x 10^-5 is than 5 x 10^-9. To do this, we need to divide the first number (6 x 10^-5) by the second number (5 x 10^-9).

First, let's express these numbers in standard form. 6 x 10^-5 equals 0.00006 and 5 x 10^-9 equals 0.000000005.

Simply divide 0.00006 by 0.000000005. The result is 12,000,000 or 1.2 x 10^7.

Therefore, 6 x 10^-5 is 12,000,000 times greater than 5 x 10^-9 or 1.2 x 10^7 times greater.

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Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Answer:

8(5x + 3y -7)

Step-by-step explanation:

A common number in 40x+24y-56 is 8.

40x / 8 = 5x

24y / 8 = 3y

-56 / 8 = -7

We finally get 8 (5x + 3y -7)

Hope this helps!

-sruthi123

Answer:

8 (5x +3y -7)

Step-by-step explanation:

40x+24y-56

40x = 8*5*x = 2*2*2 *5*x

24y = 3*8*y = 3*2*2*2*y

56 = 7*8 = 7 * 2*2*2

As we can see, each of these terms has a greatest common factor of 8, so we can factor it out

8 (5x +3y -7)

Answer:

Numbers are divisible by 9 if the sum of all the individual digits is evenly divisible by 9

Step-by-step explanation:

5+3+6+4 = 18

18 is divisible by 9 so therefore, those numbers are monomials of the number 9.

Monomials that are divisible by 9 are those whose numeric coefficient is divisible by 9. For example, the monomial 27x or 81y^2 are both divisible by 9 because their numeric coefficients (27 and 81, respectively) are divisible by 9.

In mathematics, a monomial is an algebraic expression consisting of one term. Monomials that are divisible by 9 are those whose numeric coefficient is divisible by 9. For example, if you have a monomial like 27x, you can check if it's divisible by 9 by dividing the numeric coefficient (27) by 9. Since 27 divided by 9 is equal to 3, you can conclude that 27x is divisible by 9. Another example would be 81y^2 where the numeric coefficient is 81. Because 81 divided by 9 equal to 9, 81y^2 is also divisible by 9. So any monomial with a numeric coefficient that is a multiple of 9 is divisible by 9.

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Answer:

2/6

Step-by-step explanation:

Remember to do m equals y2 minus y1 over x2 minus x1

Answer:

1/3

Step-by-step explanation:

To find the slope when we have 2 point, we use the formula

m = (y2-y2)/(x2-x1)

  = (5-3)/(4--2)

  = (5-3)/(4+2)

  = 2/6

 = 1/3

Answer:

28 < x < 114

Step-by-step explanation:

Answer:

B. y = 4 +  6x

Step-by-step explanation:

We know that the rate of change of a straight line is equal to the slope of the line.

Now, the general form of a straight line is y = mx + b, where m is the slope and b is the y-intercept.

Also, the slope of a line joined by [tex]( x_{1},y_{1} )[/tex] and [tex]( x_{2},y_{2} )[/tex] is given by [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

So, using these, we will find the slopes of the lines given in the options.

A. Here, we are given two points (3,3) and (4,6). Then, the slope is given by,

[tex]m_{1}=\frac{6-3}{4-3}[/tex] i.e. [tex]m_{1}=3[/tex].

B. We have the equation of line y = 4 + 6x. On comparing it with the general form, we get that the slope is 6 i.e. [tex]m_{2}=6[/tex].

C. We are given the standard form of a line. First, we convert it into the slope-intercept form ( or the general form ).

i.e. 12x + 6y = 18 → 2x + y = 3 → y = -2x + 3

Now, on comparing this equation with the general form of a line, we get that the slope is -2. i.e. [tex]m_{3}=-2[/tex].

D. Here, we are given a linear function passing through (1,-1) and (0,4). Then the slope is given by,

[tex]m_{1}=\frac{4+1}{0-1}[/tex] i.e. [tex]m_{4}=-5[/tex].

Hence, we obtain that the function y=4+6x has the greatest slope or the greatest rate of change i.e. [tex]m_{2}=6[/tex].

Answer:

Each lemon costs $1.70. Each plum costs $3.70.

Step-by-step explanation:

You have two unknowns and two statements about costs. First, define a variable for each unknown. Then, translate the statements about the costs into two equations. Then, solve the system of equations.

Let L = price of 1 lemon

Let P = price of 1 plum

Donata:

4 lemons and 4 plums for $21.60

4L + 4P = 21.6      Equation 1

Dan:

11 lemons and 6 plums for $40.90

11L + 6P = 40.9       Equation 2

Here is the system of equations.

4L + 4P = 21.6      Equation 1

11L + 6P = 40.9       Equation 2

Divide both sides of Eq. 1 by 4.

L + P = 5.4

Multiply both sides by -6.

-6L - 6P = -32.4

Add the equation above to the Eq. 2.

5L = 8.5

L = 8.5/5

L = 1.7    <-------  price of a lemon

L + P = 5.4

1.7 + P = 5.4

P = 3.7    <------   price of a plum

Each lemon costs $1.70. Each plum costs $3.70.

6x<42

Divide 6 by both sides

x<7

Answer:

152$

Step-by-step explanation:

160-5%=152

Answer:

$152

Step-by-step explanation:

160 × 5% = 8

160 - 8 = $152