Solve for s.

15.32 − 8.4s = –9.65 + 14.3s

Answer:

x= -1

Step-by-step explanation:

make the equation to equal to zero and then bring 2 to left side of the equal sign. To get rid of (x), you simply divide both sides by 2 and you will get x= -1.

Answer:

The liability is his mortgage.

Answer:

The mortgage

Step-by-step explanation:

The mortgage is a liability. A liability is something that you have to pay for. Bills, fees, mortgages, etc are all liabilities.

The yearly salary- asset

The commission- asset

The mortgage- liability

The rental property- asset

Answer:

91

Step-by-step explanation:

it takes to long to explain

Answer: A = {2, 6 ,6 , 6 , 7 ,9}

Step-by-step explanation:

As the mode is 3, we must have a number that repeats 3 times.

As the median is 6, the number in the middle must be 6

then with this we can construct a set with 3 times the number 6.

Now, knowing that the range is 7. the difference between the larger number and the smaller number is 7, so suppose the larger number is 9 and the smaller number is 2 (9 - 2 = 7)

Then the numbers in our set are:

2 6 6 6 9

lets find the last one.

We know that the mean is 6, then we have

6 = (1/6)*( 2 + 6 + 6 + 6 + 9 + x) = (1/6)(29 + x)

6*6 = 29 + x

36 - 29 = x

x = 7

Then our set is:

A = {2, 6 ,6 , 6 , 7 ,9}

Where the number in the middle is 6, the mean is 6, the mode is 3 and the range is 7

Answer:

1. 7/9

2. 7/16

3. 3/7

4. 123/125

Step-by-step explanation:

1. Simplify the following:

2/9 + 5/9

2/9 + 5/9 = (2 + 5)/9:

(2 + 5)/9

2 + 5 = 7:

Answer: 7/9

_________________________

2. Simplify the following:

3/4 - 5/16

Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:

(4×3)/16 - 5/16

4×3 = 12:

12/16 - 5/16

12/16 - 5/16 = (12 - 5)/16:

(12 - 5)/16

12 - 5 = 7:

Answer: 7/16

_____________________________________________

3. Simplify the following:

6/7×1/2

6/7×1/2 = 6/(7×2):

6/(7×2)

6/2 = (2×3)/2 = 3:

Answer: 3/7

__________________________________________________

4. Rewrite the decimal number as a fraction with 1 in the denominator

0.984=0.984/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000

(0.984/1)×(1000/1000)= 984/1000

Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,

(984/8) = 123

(1000/8) = 125

Therefore

X=123/125

In conclusion,

Answer: 0.984=123/125

Answer:

D. Rhombus

Step-by-step explanation:

Rhombus is the quadrilateral that lhas 2 pairs of angle with equal measures and 4 sides of equal length

Attached picture is the shape of Rhombus

Answer: The correct answer is option D; Rhombus

Step-by-step explanation: Basically, all the four options are quadrilaterals, or a plane shape with four sides. However, not all four-sided plane shapes have the same properties, and hence each of them has its own unique name due to its unique features or properties. A rhombus has four sides that are equal in measurement, but not all its four angles are equal in measurement. Two pairs of angles are equal to each other, and these are the pair of opposite angles. Also, the opposite sides/lines are parallel and congruent to each other.

A rectangle has, two opposite sides parallel and congruent, but unlike a rhombus, not all sides measure the same length. Only two opposite sides have equal measurement. In a rectangle, all four angles are congruent and they all measure 90 degrees each.

A trapezoid has only two sides as being parallel, and the other two sides are not parallel. The two parallel sides are referred to as the bases.

A parallelogram also has two equal sides as being parallel to each other and the two opposite sides are also congruent, just like a rhombus. However, unlike a rhombus, a parallelogram does not necessarily have all sides congruent. The two opposite sides may be equal in measure just like in a rectangle, but the angles are not all equal like in a rectangle.

Therefore, only a rhombus satisfies the conditions outlined in the question namely;

Two pairs of angles with equal measures, and four sides of equal length.

Step-by-step explanation:

simply 32×24 gives 768 students

The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers. .768 students are expected to enroll.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers.

The ratio we have 24 : 1

We need to find the ratio

? : 32

then we get,

24 x 32 = 768

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Answer:

y = 1.5x

Step-by-step explanation:

in the graph you can see that when y=2, x= 3 and this graph is linares (im sorry if its not the right word). so this means for every 3gal of white paint youll need 2 gal of red paint. so 2y=3x: y = 3/2x

Answer:

When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.

Step-by-step explanation:

The growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.

It is defined as the factor that represents the increase and decreases in value by that factor. For the growth add one as a decimal and for the decay subtract one as a decimal.

For the growth factor:

F(g) = 1+r

Here r = 24% = 0.24

F(g) = 1+0.24 = 1.24

For the decay factor:

F(d) = 1-r

Here r = 24% = 0.24

F(d) = 1-0.24 = 0.76

Thus, the growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.

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Answer:

-16

Step-by-step explanation:

-12-128/2/4^2=

-12-64/4^2=

-12-64/16=

-12-4=

-16

Answer:

-16.

Step-by-step explanation:

Using order of operations (PEMDAS):

-12 - 128 ÷ 2 ÷ 4^2    First do the exponential term

-12 − 128 ÷ 2 ÷ 16   Do the leftmost  division first:

= -12 - 64  ÷ 16       Now the division

= -12 - 4

= -16.

Answer:

(x -11) * t + 1067

Step-by-step explanation:

We know that in her tutoring job she earns x amount of money and how waitress earns $ 11 / hour.

They give us the combined number of hours that he works with all the jobs, which is 97, but from here we can say that in the time that he does NOT work as a tutor it is actually 97 - t.

Total earned this month = x * t + 11 * (97 -t)

Total earned this month = x * t + 1067 - 11 * t = (x -11) * t + 1067

Answer:

5160

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

use the Pythagoras' theorem

formula for an ABC triangle( right angled)

AB is height

BC is hypotenuse

CA is length

[tex]BC^{2}[/tex] = [tex]AB^{2}[/tex] + [tex]CA^{2}[/tex]

in your case

AB is 7

BC is 8

CA is unknown so we write x

[tex]8^{2}[/tex]=[tex]7^{2}[/tex]+[tex]x^{2}[/tex]

64=49+[tex]x^{2}[/tex]

64-49=[tex]x^{2}[/tex]

15=[tex]x^{2}[/tex]

[tex]\sqrt{15}[/tex] =x

3.87=x

4=x

Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 = 1

Answer & Step-by-step explanation:

First, we know what the formula is for y-intercept slope form.

[tex]y=mx+b[/tex]

Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, b.

[tex]7=4(-3)+b[/tex]

[tex]7=-12+b[/tex]

[tex]19=b[/tex]

So, the equation of the line that passes through (-3, 7) with a slope of 4 is..

y = 4x + 19

Answer:

1

Step-by-step explanation:

Answer:

B. 2 weeks

Step-by-step explanation:

1st week

Brian will have $40

Sarah will have $30

2nd week

Brian will have $50

Sarah will have $50

Answer:

B. 2

Step-by-step explanation:

10w +30 = 20w +10,

30 - 10 = 20w - 10w,

20 = 10w,

so the answer is,

w = 2

Answer:

Aloy has $55 initially

Benjamin has $95 initially

Step-by-step explanation:

In this question, given the order in which the money flowed in the question, we want to know how much each of the two had initially.

let what Aloys have be x and what Benjamin has be y.

Together, they had 150

x + y = 150 ••••••••(i)

Aloys mother gave him 40, new money is x + 40, Benjamin spent 10, new money is y-10

the new difference is 10

Thus;

(x + 40)-(y-10) = 10

x + 40 -y + 10 = 10

x+ 40 = y

substitute this into the first equation

x + 40 + x = 150

2x + 40 = 150

2x = 150-40

2x = 110

x = 110/2

x = $55

y = x + 40 = 55 + 40 = $95

Answer:

The longest side is side of 18 (153.6cm)

The shortest side is side of 6(57.6cm)

Step-by-step explanation:

Kindly check attached picture for explanation

Answer:

-9

Step-by-step explanation:

-7x+12=75

-12       -12

-7x= 63

divide by -7 on both sides

x = -9

Answer:

b) 2x^2 + 7x + 3

= 2x^2 + 6x + 1x + 3

= 2x(x + 3) + 1(x + 3)

= (2x + 1) (x + 3)

Answer:

I can't post a graph, but I will explain how to do it.

Step-by-step explanation:

The y intercept is 3, so we know we can place a point at the coordinates (0,3). The y intercept is the point where your line crosses the y axis.

The slope is -3, which is the same as -3/1. The top number is the y axis, the bottom number of the slope is the x axis. This tells us that for every 1 space we move on the x axis, we move -3 spaces on the y axis. You should therefore have a second point located at (1,0).

You should end up with a line with a point at (0,3) and (1,0) which slopes down from left to right. Hope that helps.

The line of the graph is y=-3x+3

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope is -3 and y-intercept is 3.

y=-3x+3

Now we have to plot the graph

x   0      1     2    3     4

y    3     0    -3   -6   -9

Hence, the line of the graph is y=-3x+3

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Answer:

8

Step-by-step explanation:

The value of the amplitude is always positive and it tends to be number in front of the cosine function so for example by using the form 'a.cos(bx - c) + d', we can know that the amplitude is the number in front of the function so its 'a'

Answer:

Step-by-step explanation:

a)

If we implement the combinations recursively without memoization, then the running time would be exponential in n.

Time Complexity:

If we implement this equation literally, as a recursive program, then the running

time of our algorithm without using memoization, T(n), as a function of n, has the following behavior:

T(0) = 1

T(1) = 1

T(n) = T(n − 1) + T(n − 2).

But this implies that

T(n) ≥ 2T(n − 2) = 2^(n/2).

b)

But if we store the combinations in an array, C[][], then we can instead calculate the combinations, C(n,k), iteratively, as follows:

C[0,0] = 0

C[1,1] = 1

for i = 2 to n do

C[n,k] = C[n-1, i−1] + C[n-1,k]

This algorithm clearly runs in O(n) time, and it illustrates the way memoization

can lead to improved performance when subproblems overlap and we use table

lookups to avoid repeating recursive calls.

Answer:

idk maybe 4

Step-by-step explanation:

Answer:

$9500

Step-by-step explanation:

A=P(1-r)^t is the general model for decay. A being the end result of 2014, p is the amount beforehand, r is decay as a decimal, t is time. I think t would just be one since it's one year in time?  9500=10,000(1-0.05)^1

Answer:

 Slope = -1.000/2.000 = -0.500

 x-intercept = -8/1 = -8.00000

 y-intercept = -8/2 = -4

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the Slope

Calculate the X-Intercept

Answer: Slope = -1.000/2.000 = -0.500

Hope this helps.

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 2y = - 8 ( subtract x from both sides )

2y = - x - 8 ( divide all terms by 2 )

y = - [tex]\frac{1}{2}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Answer:

58.99

The simplifying part may be wrong. It's not my strongest thing in math.

Step-by-step explanation:

Well to find angle A you first have to see which trig function to use.

Soh Cah Toa

In this case, you need the opposite / hypotenuse, which is sin.

6 / 7

And then you have to use inverse sin of 6 / 7

It's 58.99728087 which can be simplified to 58.99

The simplifying part may be wrong. It's not my strongest suit.

Answer:

∠A ≈ 59.00

Step-by-step explanation:

In this case, you need to use the inverse of sine (it gives you the opposite and hypotenuse sides): [tex]sin^-1[/tex]

[tex]sin^-1(6/7)[/tex]

≈ 58.997

Round to nearest hundredth:

≈ 59.00