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UNO [17]
2 years ago
7

15 POINTS PLEASE HELP

Mathematics
1 answer:
adoni [48]2 years ago
5 0

hey....I didn't know the answer to question 6.

I know my handwriting sucks....if you have trouble understanding my handwriting

tell me...I ll explain it to you

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If theres 3 apples and you take 2 away, how many do you have?
Degger [83]
The answer depends on the perspective; however, this question is often meant to be a "trick question"; with the answer being: 2 (two) apples!
_______________________________________________
The rationale behind this answer is that if there are three apples, but you "take 2 away" you now have "2" apples, because YOU are the one who "took away the 2 apples"—so presumably, YOU have the "2 apples" that YOU "took away"!
5 0
3 years ago
Which expression is equivalent to the given expression? 2√20 × 4√6
lapo4ka [179]

Answer:

16 sqrt(30)

Step-by-step explanation:

2√20 × 4√6

Multiply

2*4  sqrt(20*6)

8 sqrt(120)

Simplifying

8 sqrt(4 *30)

We know sqrt(ab) = sqrt(a) sqrt(b)

8 sqrt(4) sqrt(30)

8 *2* sqrt(30)

16 sqrt(30)

7 0
3 years ago
Solve the simultaneous equation :<br><br> 4x+2y=17<br> 3x+2y=14
enot [183]

Answer:

(x, y) = (3, 5/2)

Step-by-step explanation:

4x+2y=17\\3x+2y=14

I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.

4x+2y=17\\-(3x+2y=14)

Now just add those from top to bottom.

\rightarrow (4x-3x)+(2y-2y)=17-14\\\rightarrow x=3

Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.

4x+2y=17\\\rightarrow 4(3)+2y=17\\\rightarrow 12+2y=17\\\rightarrow 2y=5\\\rightarrow y=\frac{5}{2}

(x, y) = (3, 5/2)

6 0
2 years ago
The staff dietician at the California Institute of Trigonometry has to make up a meal with 600 calories, 20 grams of protein, an
Arlecino [84]

Answer:

The amount of rubbery jello=5.038 ounce

Dried fish stick = 4.886 ounce

Mystery meat = 1.526 ounce.

Step-by-step explanation:

Solutions/Explanation: (a) Suppose the amount of rubbery jello = x ounce,  

The dried fish sticks amount to be = y ounce  

The amount of mystery meat = ounce.

Specification of the ingredients

Rubbery jello has: Calories=10 Cal/ounce, Protien=1 gram/ounce, Vitamin C= 30 mg/ounce

Dried fish sticks: Calories=50 Cal/ounce, Protien=3 grams/ounce, Vitamin C=10 mg/ounce

Mystery meat: Calories=200 Cal/ounce, Protien=0.2 gram/ounce, Vitamin C=0 mg/ounce,

Now,  

Total calories = 600.  

Thus,

10x+50y+200z=600\quad\Idot (1)

The, total Protien = 20 g.  

Thus,

x+3y+0.2z=20 \quad\Idot (2)

also, total Vitamin C = .

Thus,

30x+10y+0z=200 \quad\Idot (3)

Therefore,

1, 2 and 3 are the mathematical models of the dietician's problem with a system of three linear equations.

(b) Now, we know three equations:

10x+50y+200z=600

OR  

x+5y+20=60 \quad\Idot (4)

From eqn 2,  

x+3y+0.2z=20 \quad\Idot (5)

From eqn 3.  

30x+10y=200

OR  

3x+y=20 \quad\Idot (6)

On solving the eqn 4, 5 and 6 for x, y and z,

Multiplying eqn 5 by 100,

100x+300y+20z=2000 \quad\Idot (7)

Now, subtract eqn 4 from eqn 7

99x+295y=1940 \quad\Idot (8)

Now, multiplying eqn 6 by 295. we have,

885x+295y=5900 \quad\Idot (9)

Now, subtract, eqn 8 from eqn 9, we get,

786x=3960

x=\frac{3960}{786}

 x=5.038 \quad\Idot (10)

Now, substituting into eqn 6, we get

y=4.886 \quad\Idot (11)

Now, substitute eqn 10 and 11 into eqn 4, we have

z=1.526

4 0
2 years ago
You must show your staterment and reason T-chart to get full credit
marissa [1.9K]

Step-by-step explanation:

RS bisects PQ at T. PQ bisects RS at T.

<u>prove</u>: Triangle PTS congruent Triangle QTR

<h3>Statements..............................Reasons</h3>

(1) RS bisects PQ at T.................(1) Given

(2) PQ bisects RS at T.................(2) Given

(3) angle PST ≅ angle QRT........(3) supplements of congruent angles

(4) TS ≅ TR......................(4) Converse of Base Angles Theorem

(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality

(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle

Hope it's help you..... ^_^❤️

5 0
2 years ago
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