To show that triangle RPQ=triangle PSR by SSS, what must be the value of x?

Answer:

positive 260

Step-by-step explanation:

add the cash inflows

550+40+65+80 = 735

add the outflows

10+30+60+25+100+250 = 475

then substract the outflows from the inflows

735-475 = 260

So Andy's net cash flow is positive 260

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Andy’s net cash flow is $260.

Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Total cash inflow

= 550+40+65+80

= $735

Total cash outflow

= 10+30+60+25+100+250

= $475

So, net cash flow =735-475

= $260

Therefore, Andy’s net cash flow is $260.

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Answer:

30s-18

Step-by-step explanation:

(10s-8)+(10s-8)+(7s-1)+(3s-1)=?

Combine like terms.

2(10s-8)+(7s-1)+(3s-1)

Remove parentheses.

2(10s-8)+7s-1+3s-1

Collect like terms.

2(10s-8)+10s-1-1

Subtract.

2(10s-8)+10s-2

Factor out 2 from the expression.

2(10s-8+5s-1)

Collect like terms.

2(15s-8-1)

Subtract.

2(15s-9)

Factor out 3 from the expression.

2x3(5s-3)

Multiply.

6(5s-3)

Simplified=30s-18

Hope this helps :)

Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72

Answer:

I think the answer to your question is

22

Answer:

12

Step-by-step explanation: 5.5/1.25

The explicit rule for the sequence is Tn = 2n - 1

Given the sequence 1, 3, 5, 7, 9...

The explicit formula for the nth term is expressed as:

[tex]T_n=a+(n-1)d[/tex]

a is the first term = 1

d is the common difference = 3 - 1 = 5 - 3 = 2

n is the number of terms

Substitute the given parameters into the formula to have;

[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]

Hence the explicit rule for the sequence is Tn = 2n - 1

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Answer:

1st: 1+(k-1)2

2nd: 399

3rd: C

4th: 40,000

Answer:

More; less

Step-by-step explanation:

Applying force to be lifted up to a platform requires more force to get it there. I believe the crate would have a reduced distance. I hope this helps.

Answer:

1264

Step-by-step explanation:

is the answer...........

Hello there!

3-k-5k=3

Combine like terms:

3-6k=3

-6k=3-3

-6k=0

k=0

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

k = 0

Step - By - Step:

1. 3 - k - 5k = 3

3 - 6k =3

2. rearrange terms:

3 - 6k = 3

-6k + 3 = 3

3. Subtract  3 from both sides of the equation:

-6k_3=3

-6k+3-3=3-3

4. simplify:

-6k + 3 - 3 = 3 - 3

-6k = 3 - 3

-6k = 0

5. divide both sides of the equation by the same term:

-6k = 0

-6k/-6 = 0/-6

6. simplify:

k = 0/-6

Answer:

AD=7,BE=6,AB=4,AC=3.

Answer:

y = 4 and x = 11

Step-by-step explanation:

x = y + 7                  Substitute the first equation into the second equation and

                               solve for y

x + 1 = 3y

y + 7 + 1 = 3y

8 = 2y

4 =   y                      x = y + 7

                               x = 4 + 7

                                 x = 11

Answer:

x = 6

Step-by-step explanation:

Using the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

79° is an exterior angle of the triangle , then

8x - 13 + 9x - 10 = 79

17x - 23 = 79 ( add 23 to both sides )

17x = 102 ( divide both sides by 17 )

x = 6

Answer:

You should always Use addition or subtraction to separate the variable on one side of a equation.

Step-by-step explanation:

Answer:

He did not simplify correctly and forgot to place the decimal point correctly.

Step-by-step explanation:

To simplify the equation, one needs to divide both sides of the equal sign by 5.

i.e 5.25/5=5/5

Here we find 1.05=1

Note the placement of the decimal point.

Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form

Replace the denominator by 2^10

Now we apply exponential property

negative exponent other than -1 is

Answer:

-3, 3

6,21

9,-9

Step-by-step explanation:

Answer:

> Your coordinates are; -3, 3 || 6, 21 || 9, -9

Step-by-step explanation:

> I hope this solves your problem correctly.

Answer:840 km/h divided by 60 = 14km/min

3 x 60 = 180

180 + 20 = 200 minutes total

14 x 200 = 2800km

that is a really awkward way of doing it though. really you can just do:

840 x (10/3) = 2800km

Step-by-step explanation:

Answer:

13 and 1/3

Step-by-step explanation:

2×5=10

2/3 ×5 =10/3

10/3 simplifies to 3 and 1/3

Add them together to get 13 and 1/13

Answer:

slope = - 2.25

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

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide through by 4 )

y = - 2.25x+ 2 ← in slope- intercept form

with slope m = - 2.25

Answer:

$114.46

Step-by-step explanation:

40.51+73.95=114.46

Answer:

Step-by-step explanation:

Answer:

the shape of the graph is a vertical straight line. So the angle is 90°

So tan 90° = infinite

Answer:  The slope is undefined.

Step-by-step explanation:

The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points.  X is not changing even as y goes from -2 to 8.  If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o.  Rise/Run therefore becomes 10/0.  Division by 0 is undefined in math, so the slope is undefined.

This is a straight vertical line going through x = -1.  All y's are on this line.  Undefined slope.

Answer:

1.20 percent

Step-by-step explanation:

Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.

Step-by-step explanation:

Answer:

1: 18 3: 54 6: 108

Step-by-step explanation:

A triangle has 180 degrees.

You need to add up all the ratios 1+3+6

Then divide that by 180----> 180/10=18

Then multiply all the ratios by but answer(18)

1*18=18

3*18=54

6*18=108

Step-by-step explanation:

when you get a decimal like 0.02 and you want to express it in fraction,this is a simple trick.

first,put your pen at the point and move it forward till you end at the last number.

While you move the pen over each value, you will count the number of jumps and record the number of jumps in zeros i. e

2÷100 and it means that,the last 1or 3or 3whole numbers will become the numerator

The best interest rate which banks can charge a customer is the prime rate.

Reasons:

The Annual Percentage Rate, APR = Prime + 5%

∴ APR = 10% + 5% = 15%

[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]

The balance on June 1 = $2,550

Daily balance, June 1 — 3 = $2,550 × 3 = $7,650

June 4 borrowed $5,300

The new unpaid balance = $2,550 + $5,300 = $7,850

Daily balance from June 5 — 8 = $7,850 × 3 = $23,550

Chris made payment on June 9

Unpaid balance = $7,850 - $800 = $7,050

Daily balance from June 9 — 16= $7,050 × 8 = $56,400

June 17 borrowed $5,600

Unpaid balance = $7,050 + $5,600 = $12,650

Daily balance June 17 — 30 = $12,650 × 14 = $177,100

Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700

[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]

Finance charge = Average daily balance × Periodic rate

∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]

New balance = Cash advance + Credits and payment + Previous balance + Finance charge

New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]

= $12,735.291[tex]\overline 6[/tex]

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[tex]Perimeter = \\ 9v - 7 + v + 10 + 9v - 7 + v + 10 \\ = 9v - v + 9v + v - 7 + 10 - 7 + 10 \\ = 8v + 10v - 17 - 17 \\ = 18v - 34[/tex]

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Answer:

Its 65

1ft=304.8mm

Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as;  p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial.  Therefore, the probability of failure in the 11th trial is 0.16.

Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as  => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16  

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

The mass of the glass-bottle is 32.16 grams.

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

The density of glass in a bottle is 2.4 grams per cubic centimeters.

The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.

Density = Mass/Volume

Density = 2.4 grams per cubic centimeters.

Volume = 13.4 cubic centimeters.

Substituting all the values,

2.4 = Mass / 13.4

Mass = 13.4 x 2.4

Mass = 32.16

Therefore, mass = 322.16 grams.

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