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____ [38]
3 years ago
15

30 POINTS!

Mathematics
1 answer:
inessss [21]3 years ago
7 0
126,773,792,413,402 days
887,416,546,893,814 weeks
5.324499281363e16 seconds
4,225,793,080,446.733 months

You might be interested in
An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem
hichkok12 [17]

Answer:

z (min)  = 705

x₁  = 10

x₂  = 9

Step-by-step explanation:

Let´s call  x₁  quantity of food I ( in ou )  and x₂ quantity of food II ( in ou)

          units of vit. C   units of vit.E   Cholesterol by ou

x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

1.-Total units of vit. C at least  464

32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

9*x₁  + 18*x₂   ≥  252

3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

x₁  = 10

x₂  = 9

5 0
3 years ago
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we
Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0
3 years ago
Please help me with these three questions! They are quick and easy. I will mark brainiest!
natta225 [31]

Answer:

i don't know a counterexample for the first one

A counterexample for the second one is a leaf bug

A counterexample for the third one is a trapezoid, rectangle, rhombus

6 0
3 years ago
Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto
lianna [129]
Answer: 48

------------------------------------------------------------------------------
Define the number of cakes they baked in term of x
------------------------------------------------------------------------------
Let the number of cakes Kay baked be x

Kay = x
Tim = 3x                ← Tim baked 3 times as many as Kay
Griff = 1.5x            ← Griff baked 1/2 as many as Tim

------------------------------------------------------------------------------
Construct the equation and solve for x
------------------------------------------------------------------------------
The total number of cakes baked was 88.

x + 3x + 1.5x = 88        ← Combine like terms
5.5 x = 88                     ← Divide by 5.5
÷5.5    ÷5.5
x = 16

------------------------------------------------------------------------------
Find the number of cakes each baked
------------------------------------------------------------------------------
Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

------------------------------------------------------------------------------
Answer: Tim baked 48 cakes.
------------------------------------------------------------------------------
3 0
3 years ago
In order for RECT to be a rectangle, what must the value of x be?
Readme [11.4K]

Answer:

x = 21

Step-by-step explanation:

If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).

∠RTC = ∠RTE + ∠ETC     Formula for complementary angles

90 = 2x + 6 + 42                Substitute the angles

90 = 2x + 48               Combined like terms to simplify

Now isolate "x" to solve

90 - 48 = 2x + 48 - 48         Subtract 48 from both sides

42 = 2x

42/2 = 2x/2       Divide both sides by 2

x = 21

Therefore x is 21.

6 0
3 years ago
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