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3 years ago

Justin writes the letters illinois on cards and then places the cards in a hat. What are the odds in favor of picking an I.

1 answer:

5 0

Probablity=desiredoutcomes/totalpossible
total possible=number of cards or number of letters which is 8 letters

desired is number is the letter "I", which is 3
3/8 is probality
in favor it is 3:5, because we are looking at odds of picking vs not picking
not is 5/8
3:5 s answer
A is answer

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If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

Read 2 more answers

A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Wednesday. There were 50 fewer cheeseburgers

Virty [35]

Hey there! I'm happy to help!

Let's call the hamburgers h and the cheeseburgers c.

h+c=500

c=h-50

Let's plug this value for c into the first equation to solve for h.

h+h-50=500

2h-50=500

Add 50 to both sides.

2h=550

Divide both sides by 2.

h=275

Therefore, 275 hamburgers were sold on Wednesday.

Have a wonderful day! :D

6 0

3 years ago

Find the degree of the polynomial<br><br> 7a3b2 – 2a4 + 4b – 15<br><br> Degree

vesna_86 [32]

When ur polynomial has more then one variable....and this one does...the degree is the highest term degree

7a^3b^2 ....this term has a degree of 5
2a^4...this term has a degree of 4
4b....this term has a degree of 1
15....this term has a degree of 0

so the highest degree term has a degree of 5....so that is the degree of this polynomial.

now if u just had 1 variable, the degree would be the highest exponent

3 0

3 years ago

Annika pays 2/25 of her weekly income into a retirement fund. If she pays £42 into the retirement fund, what is her weekly incom

skad [1K]

Answer:

Below.

Step-by-step explanation:

Let x be the Annika's weekly income.

2/25 of x = 42

2x/25 = 42

x = 42(25/2)

x = 525

Her weekly income is $525.

6 0

2 years ago

Identify the polynomial.

Alexxandr [17]

Answer:

it's a trinomial

7 0

3 years ago