{6x − 5y = 9
4x + 3y = 13

Answer:

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

Step-by-step explanation:

- 9x + 3 = 3x + 9 ( subtract 3x from both sides )

- 12x + 3 = 9 ( subtract 3 from both sides )

- 12x = 6 ( divide both sides by - 12 )

x = [tex]\frac{6}{-12}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

Chris should go for the LOAN THAT IS COMPOUNDED ANNUALLY because the interest rate is lower compared to the simple interest

Step-by-step explanation:

Chris borrows 450 dollars from Gavin.

Step 1

We find Simple Interest

Gavin lets Chris choose either a simple interest loan for 10 years with a 3.5% interest rate

Formula = P × R × T

= 450 × 3.5% × 10

= $157.5

Step 2

We find compound interest

loan compound annually for 7 years with a 2% interest rate.

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year,

Then solve the equation for A

Formula:

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

A = 450.00(1 + 0.035/1)(1)(7)

A = 450.00(1 + 0.035)(7)

A = $572.53

Interest = A - P where

P (principal) = $450.00

I = $572.53 - $450.00

I (interest) = $122.53

Which should Chris choose if he wants the cheaper plan?

Comparing the calculations above, Chris should go for the Loan that is compounded annually because the interest rate is lower compared to the simple interest

Answer:

sociable I think........

Answer:

We need to find the value of r. ... 6. radius 2V3. 7. radius. 8. radius who. 8. tadine V10. 9. containing the point (3, 4) ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter.

Answer:

36.625

Step-by-step explanation:

5*5 = 25

25 + 8 = 33

33 - 11 = 22

22 + 12 = 34

84/32 = 2.625

34 + 2.625 = 36.625

36.625

Have a nice day!

Answer:

36.625 or 293/8

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:so what’s the answer????

Answer:

C

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

C.2:4

Step-by-step explanation:

1*2=2

3*2=6

2:6=2:4

    |

    |

    |

not true so it is C.

Today : Monday, 03rd May 2021

07.41 PM

Answer:

5³

Step-by-step explanation:

[tex] \tt \orange{\frac{5^{6} }{ {5}^{3} } }[/tex]

[tex] \green {= \tt {5}^{6 - 3} }[/tex]

[tex] \blue{ \tt = {5}^{3} }[/tex]

[tex]\pink{ \boxed{ \tt study \: with: {\pink{ \boxed{{\tt \colorbox {pink}{✿ \:aulia \: ✿}}}}}}}[/tex]

Second one is correct, The value of -a - c is positive

See, from the number line a = -6 and c = 2

Now, -a - c

= -(-6) -(2)

= +6 - 2 = 4

Which is true...

Answer:

26.5

Step-by-step explanation:

Complimentary angles are 90 degrees

90-63.5=26.5

Answer:

Quadratic

Step-by-step explanation:

It's not linear because the speed of the penny is not constant.

It is not exponential because the speed does not continuously increase at a faster rate.

It is Quadratic because the penny will increase speed as you throw it up into the air. Once it reaches its "high point" it's speed hits 0, which is the origin of the quadratic equation. Then the speed increases faster and faster as it falls.  

Answer:

6700

3 rounds down so 7 stays the same

Answer:

2:7 4:14  10 times original: 20/70

Step-by-step explanation:

if you multiply 2/7 by 10 it is 20/70

Answer:

Pleaseee post the question clearly

Answer:

angle Lmp=77degrees and angle nmp = 103degrees

m ∠LMP =77 degrees and m ∠LMP = 103 degrees

It is given that Angle LMP=-16x+13

Angle NMP=-20x+23

We have to find m∠LMP and m∠NMP.

What is the sum of pair of linear angles?

The sum of pair of linear angles is always 180 degrees

∠LMP+ ∠NMP=180

-16x+13-20x+23=180

-36x+36=180

-36x=180-36

-36x=144

x=-4

Now substitute value of x in Angle LMP and Angle NMP

Angle LMP=-16x+13 =-16(-4)+13=77 degree

Angle NMP=-20x+23 =-20(-4)+23=103 degree

To learn more about pair of linear angles click here:

https://brainly.ph/question/16759465

#SPJ2

Answer:

1. slope=1/2 y-int=1 equation= y=2x-1

2. slope=1 y-int=1 equation= y=x+1

Step-by-step explanation:

Answer:

a.

radius [r]=breadth[b]=4in

length [l]=7in

now

[C]area 1/4 th circle +area of 1/4th circle= semi circle =1/2×πr²h=1/2×π×4²=8πin²=25.13in²

area of rectangle [A]=l×b=7×4=28in²

total area =A+C=28in²+25.13in²=53.13in²

Step-by-step explanation:

b.

height [h] of triangle =12-4=8cm

base[b] of triangle= 12-3.5-3.5=5cm

area of triangle [A]=1/2×b×h=½×8×5=20cm²

again

length of square [L]=12cm

area of square [S]=L²=12²=144cm²

Area of shaded region=S-A=144-20=124cm²

Answer:

Part A

The bearing of the point 'R' from 'S' is 225°

Part B

The bearing from R to Q is approximately 293.2°

Step-by-step explanation:

The location of the point 'Q' = 35 km due East of P

The location of the point 'S' = 15 km due West of P

The location of the 'R' = 15 km due south of 'P'

Part A

To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that [tex]\overline{RP}[/tex] = [tex]\overline{SP}[/tex], the right triangle ΔRPS is an isosceles right triangle

∴ ∠PRS = ∠PSR = 45°

The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°

Part B

∠PRQ = arctan(35/15) ≈ 66.8°

Therefore the bearing  from R to Q = 270 + 90 - 66.8 ≈ 293.2°

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K

Answer:

There are 2 solutions:

X=-7.5

X=4.5

**The positive one is 4.5** so it should be that

Step-by-step explanation:

Answer:

Volume of one prism; (1/16) unit³

Step-by-step explanation:

The given volume of the cube, v₁ = 1 unit cube

The height of the unit cube, h₁ = 1 unit

The length of the unit cube, w₁ = 1 unit

The height of the unit cube, l₁ = 1 unit

The number of identical prism located along the height = 2 identical prism

The number of identical prism located along the width = 2 identical prism

The number of identical prisms located along the length = 4 identical prism

Therefore;

The height of each identical rectangular prism that make up the unit cube, h₂ = h₁/2 = 1/2 unit

Similarly, for each identical rectangular prism, we have;

The width, w₂ = w₁/2 = 1/2 unit

The length, l₂ = l₁/4 = 1/4 unit

The volume of each one of the identical rectangular prism, v₂ = h₂ × w₂ × l₂

∴ v₂ = 1/2 unit × 1/2 unit × 1/4 unit = 1/16 unit³

The volume of one of the identical rectangular prisms = (1/16) unit³.

Answer:

500.3 cm³

Step-by-step explanation:

Find the area of base first, then multiply the height.

Area of the circular base

= π × 3.5²

= 38.48451...

= 38.5 cm² (rounded to the nearest tenth)

Volume of the circular prism

= 38.5 × 13

= 38.48451... × 13

= 500.29863...

= 500.3 cm³

Answer:

true

Step-by-step explanation:

v=cm 3/m/3 /litres

area into boundary is volume

Answer:

what is the question ?

........................