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dusya [7]
3 years ago
13

Please help me with this its getting late and im almost done

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0

Answer:

Step-by-step explanation: first write it as an equation f(x)=15(x) +45 and then plug in 3 because you are finding for 3 hours. It would look like this f(3)=15(3) + 45. Then you solve it, 15 times 3 equals 45. f(3) =45+45 and then add f(3)=45+45. And the answer is f(3)=90. HOPE THAT HELPS.

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which values when substituted for x in the expression √x, will result in an irrational number? Select all that apply.
svetlana [45]
Answer:
x = 21
x = 2
x = pi
6 0
1 year ago
In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a
slava [35]
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore, 
6x-42=3x+15\\3x=57\\x=19

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = 6(19)-42=72
Now, remember that ∠B or ∠D are supplements of ∠A. 
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
6 0
3 years ago
You are dealt two cards successfuly without replacement from a shuffled deck of 52 playing card. Find the probability that first
katen-ka-za [31]

The simplified expression is (\frac{4}{663})

Step-by-step explanation:

Here, the total number of cards in a given deck = 52

let E : Event of drawing a first card which is King

Total number of kings in the given deck = 4

So, P(E) = \frac{\textrm{The total number of king}}{\textrm{The total number of cards}} = \frac{4}{52}  = (\frac{1}{13} )

Now, as the picked card is NOT REPLACED,

So, now the total number of cards = 52 - 1 = 51

Total number of queen in the deck is same as before = 13

let K : Event of drawing a second card which is queen

So, P(K) = \frac{\textrm{The total number of queen}}{\textrm{The total number of cards}} = (\frac{4}{51}  )

Now, the combined probability of picking first card as king and second as queen  = P(E) x P(K)  = (\frac{1}{13}) \times(\frac{4}{51}) = (\frac{4}{663} )

Hence, the simplified expression is (\frac{4}{663})

6 0
3 years ago
A chef plans to mix 100% vinegar with Italian Dressing. The Italian dressing contains 8% vinegar. The chef wants to make 60 mill
GenaCL600 [577]

Answer:

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

v  + .05(150-v) = .24(150)

v + 7.5 - .05v = 36

.95v = 28.5

v = 28.5/.95

v = 30 ml of vinegar

dressing = 150-30 = 120 m

5 0
2 years ago
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
3 years ago
Read 2 more answers
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