How many ways can 4 letters from papaya be arranged

Answers

Answer 1

Answer:

Answer:

There would be 2 ways I would think because you can spell it with the same letters if that makes sense

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How else can the ratio 14:1 be written

A cable 90.6 meters long is cut into two pieces so that one piece is 37.2 meters longer than the other. Find the length of each piece of cable.

Answers

Answer:

53.4

Step-by-step explanation:

It said cut that means subtraction also in different length. So you subtract 90.6-37.2=53.4

Answer:

26.7 meters and 63.9 meters

Step-by-step explanation:

37.2 + 2x = 90.6

-37.2 -37.2

2x = 53.4

53.4 ÷ 2 = 26.7 meters

26.7 + 37.2 = 63.9 meters

63.9 + 26.7 = 90.6 meters

Hope that helps.

An angle measures 52° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

64º and 116º

Step-by-step explanation:

x + (x - 52) = 1080

2x - 52 = 180

2x = 232

x = 116º

x - 52 = 64º

Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4.

A) 5
B) 7
C) 19
D) 23

Answers

We have given $t_(1)=3$ and $t_(n) = t_(n-1) + 4$ . Fifth term is $t_(5)= t_(4)+4$ . It means we need to find $t_(4)$ and in order to find the latter, we have to find $t_(4)= t_(3)+4$ , $t_(3)= t_(2)+4$ and $t_(2)= t_(1)+4$ . Since we know the value of $t_(1)$ , beginning from the last equation we can find the value of $t_(5)$ . We can write that $t_(2)= t_(1)+4=3+4=7$ , $t_(3)= t_(2)+4=7+4=11$ and $t_(4)= t_(3)+4=11+4=15$ . Since $t_(5)= t_(4)+4$ , then $t_(5)= 15+4=19$

the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal

Answers

Answer:

Step-by-step explanation:

total meal cost = meal cost + tax cost + tip cost

$(8)/(100) *54.65 = cost of sales tax\n(18)/(100) * 54.65 = tip cost\ncost of sales tax = .08 * 54.65 = 4.372\ntip cost = .18 * 54.65 = 9.837\n\ntotal cost = 54.65 + 4.372 + 9.837 = 68.859\n\nsince we have 5 members\n\nindividual cost = total cost / 5\n=68.859/5\n=13.7718$

The answer is 10.93

Step by step explanation

Khali and Juan are using ribbon to decorate their art project. The ratio of the length of Khali’s ribbon to the length of Juan’s ribbon is 8:5. If Khali used a total of 72 cm of ribbon, how much did Juan use?

Answers

Answer:

45 cm

Step-by-step explanation:

First, you want to clarify the ratio:

Khali = 8 cm = 72 cm

____ _____ ______

Juan = 5 cm = x cm

To find the missing variable, cross multiply and simplify for x:

8x = 72(5)

8x = 360

x = 45

So, Juan used 45 cm of ribbon if Khali used 72 cm.

What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96? A. 0 B. 100 C. 20 D. 200

Answers

Given:
x² + 11x + 121 = x + 96

First, we need to convert it into a quadratic equation.

x² + 11x - x + 121 - 96 = 0
x² + 10x + 25 = 0

a = 1 ; b = 10 ; c = 25

Quadratic formula:

x = (-b + (√b² - 4ac)) ÷ 2a

The discriminant is under the radical sign

discriminant ⇒ b² - 4ac ⇒ 10² - 4(1)(25) ⇒ 100 - 100 = 0

Correct answer is A. 0

x² + 11x + 121 = x + 96

x² + 11x - x + 121 - 96 = 0

x² + 10x + 25 = 0. Compare to ax² + bx + c = 0.

a = 1, b = 10, c = 25.

Discriminant, Δ = (b² - 4ac)

= (10² - 4*1*25)

= (100 - 100)

= 0.

Discriminant = 0

Option A.

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Can someone please answer this

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