MATHEMATICS HIGH SCHOOL

The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2,560 square inches. What are the dimensions of the window? A. 50.6 inches by 50.6 inches
B. 40 inches by 64 inches
C. 40 inches by 80 inches
D. 40 inches by 102.4 inches

Answers

Answer 1
Answer: S = a*b    this is formula for surface.
Condition of the task is:
a:b = 1.6:1
a = 1.6*b

Now we implement this in surface formula
S = 1.6*b^2
and calculate "b"

b= \sqrt{ (S)/(1.6) }

b = 40
a = 1.6*40 = 64

Answer is B.
Answer 2
Answer: I think it is B you need to divide

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You want to place a towel bar that is 10 1/4 inches long in the center of a door that is 26 1/3 inches wide. How far should you place the bar from each edge of the door

Answers

If the bar is in the center of the door then we know that there is the same amount of space on each side of the bar. Call this space 's'. This is what we need to find. We also know the total width of the door and the total length of the bar. With this info we can set up and equation to represent the relationship:

s=(26(1)/(3) - 10(1)/(4))/(2)

and then solve for s. This is easer to do if we convert the two fractions to a common base and rearrange the equation so that instead of dividing by 2, we instead multiply by 1/2:

s=26(4)/(12) - 10(3)/(12) * (1)/(2) = 13(1)/(12) * (1)/(2) = (193)/(12) * (1)/(2) = (193)/(24) = 8 (1)/(24)inch 

Alex is renting a kayak from Barry's boats who charges \$7.49$7.49 per hr ++ an initial rental fee. For 22 hr it will cost him \$35.18$35.18 what is the initial fee Alex will pay

Answers

Based on the information given, the initial fee that Alex will pay will be $20.20.

Let the initial fee be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

x + (7.49 × 2) = 35.18

x + 14.98 = 35.18

x = 35.18 - 14.98

x = 20.20

Therefore, the initial fee is 20.20.

Learn more about equations on:

brainly.com/question/13763238

Answer:

$20.20 is the initial fee which Alex will pay to Barry.

Step-by-step explanation:

Initial rental fees charged by Barry for his boat = x

Additional fees charged for each hour by Barry for his boat = $7.49

Duration of time for which boat was rented = 2 hours

Additional fees that will be paid by Alex for renting Barry's boat for 2 hours :

= \$7.49* 2=\$14.98

Total fees paid by Alex to Barry for renting his boat =  $35.1

\$35.18=x+\$14.98

x=\$35.18-\$14.98=\$20.20

$20.20 is the initial fee that Alex will pay to Barry.

What is the probability a 1-6 number cube lands on a composite number? 0.25 0.33 0.50 0.875

Answers

a compsite number is a number that is NOT prime
technically 1 is not prime since the definition is divisible by 1 and itself
2 is prime
3 is prime
4 is not prime
5 is prime
6 is not prime

2 solutions for 2 different views:
A: 1 is prime
B: 1 is not prime

A: 1 is prime
so we have 1,2,3,5 are prime and 5 and 6 are not
probablity is (desired outcomes)/(total possible outcomes)
desired outcomes=2 (5 and 6)
total possible outcomes=6 (6 numbers on cube)
2/6=1/3=0.33
probabiligy is 0.33


B: 1 is not prime
if 1 is not prime then we have 2,3,5 as prime and 1,4,6 as not prime
probability is (desired outcomes)/(total possible outcomes)
desired outcomes=3 (1,4,6)
total posible outcomes=6 (6 faces on cube)
3/6=1/2=0.5
the probability is 0.5



TECHNICALLY 1 is not prime so the answe ris 0.5
Answer=0.5

To find probability, we must find out the chances of rolling and even number. Out of the 6 sides on a dice, only 3 are even. So 3/6 are even

3/6=0.5

Heres a math problem. Help me out people. Jill has 3 crayons. Jeff has 5 more crayons than Jill. How many crayons do they have? Write a number sentence to solve.

Answers

jill has 3 crayon

jeff has 5 more crayons than jill =5+3=8

they have eleven crayons .

HEEEEEELP

question in the attached picture

Answers

1) x^(2) +2x-10=0
a=1
b=2
c=-10
x= \frac{-(2) +or- \sqrt{ 2^(2)+4(1)(-10) } }{2(1)}
x= (-2 + or - √(4+40) )/(2)
x= (-2 +or- √(44) )/(2)
x= (-2+or- 2√(11) )/(2)
x= -1+or- √(11)
√(11)=3.32
-1+3.32 = 2.32
-1-3.32 = -4.32

2) x^(2) -2x-9=0
a=1
b=-2
c=-9
x= \frac{-(-2)+or- \sqrt{ (-2)^(2)+4(1)(-9) } }{2(1)}
x= (2+or- √(4+36) )/(2)
x= (2+or- √(40) )/(2)
x= (2+or-2 √(10) )/(2)
x=1+or- √(10)
√(10) =3.16
1+3.16 = 4.16
1-3.16 = -2.16

3) x^(2) -9x+5=0
a=1
b=-9
c=5
x= \frac{-(-9)+or- \sqrt{(-9)^(2)-4(1)(5) } }{2}
x= (9+or- √(81-20) )/(2)
x= (9+or- √(61) )/(2)
x= (9)/(2) +or- ( √(61) )/(2)
√(61) = 7.81
(7.81)/(2) =3.91
(9)/(2)=4.5
4.5+3.91 = 8.41
4.5-3.91 = 0.59

Draw and explain how you can use a number line to rename a fraction greater than 1 as a mixed number

Answers

Answer:

Check it below

Step-by-step explanation:

1) Below the number line, rewrite all of the several numbers as improper fractions, a fraction whose numerator is greater than the denominator on a number line. In this case, let's restrict ourselves to the numbers greater than 1.

(Check the picture 1)

2) Generally, Mixed Numbers represent not exact divisions so they must be between whole numbers line.

To Convert an Improper fraction into a Mixed Number:

Keep the denominator.

Divide the Numerator by the Denominator, placing the remainder as the new Numerator and the quotient as the whole number.

(11)/(2)=5(1)/(2)

3) We could have other improper fractions and their Mixed Numbers.
See the attached picture for the answer.
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