MATHEMATICS HIGH SCHOOL

The length of x 200 feet​
The length of x 200 feet​ - 1

Answers

Answer 1
Answer:

Answer:

If the length of x is less than 200, then add <.

If the length of x is more than 200, then add >.

If the length of x is 200, then add =.

Step-by-step explanation:

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Change each mixed numeral to a fraction. 1 1/2, 1 7/8, 4 2/3, 5 5/6

Answers

3/2, 15/8, 14/3, 35/6

In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter in this country.f(c)=0.42 + 0.20[x-1]

Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?
$1.62
$1.64
$1.84

Answers

Answer:

$1.84

Step-by-step explanation:

We are given that a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost.

The function which represents the situation:

f(c)=0.42 + 0.20[x-1]

Now Joseph has two letters .

The weight of first letter  = 2.9 ounces

Cost of first letter = 0.42 + 0.20[2.9-1]

                            = 0.8

Now , second letter  weighs 4.1 ounces

So, cost of second letter = 0.42 + 0.20[4.1-1]

                                         = 1.04

Thus the total amount Josiah can expect to pay for postage = $0.8+$1.04

                                                                                                   =$1.84

Hence the total amount Josiah can expect to pay for postage is $1.84

                           

Answer:

$1.84

Step-by-step explanation:

What formula tells the cost, in dollars, if chocolate chip cookies are $2.50/ dozen and lemon frosteds are $1.50/dozen? let c=number of dozens of chocolate chip cookies;L=number of dozens of lemon frosted; T= total charge

Answers

c= # of dozens chocolate chip cookies= $2.50/dozen

L= # of dozens of lemon frosted= $1.50/dozen

T= total charge

Multiply the number of dozens of chocolate chip cookies by the cost per dozen. Multiply the number of lemon frosted by the cost per dozen. Add those two together to equal the total cost.

T= ($2.50 * c) + ($1.50 * L)
T= $2.50c + $1.50L


ANSWER: T= $2.50c + $1.50L

Hope this helps! :)

What fractions would be equivalent to 4/6? Would it be 2/6

Answers

No it would be 2/3 because the GCF of both of them is 2, so divide both the numerator and denominator by 2 and get 2/3
Fractions equal to 4/6 would be 8/12, or 2/3. Whatever you do to the top of the fraction, you have to do to the denominator. (or the bottom one) You divided the top of your fraction by 2 (and got 2/6) But you forgot to divide the denominator by 2 (to get 2/3.) Make sense?

Can someone please explain how to solve these two math equations?2x^2-3x-35=0

56z^2+2=22z

Answers

#1.

Question:  2x^2 − 3x − 35 = 0

Step 1: Factor left side of equation):    (2x + 7) (x − 5) = 0
Step 2: Set factors equal to 0.):  2x + 7 = 0 or x − 5 = 0

ANSWER: x = −7/2 or x = 5
_____________________________________________________
#2.

Question: 56z^2 + 2 = 22z

Step 1: Subtract 22z from both sides.):

56z^2 + 2 −22z = 22z − 22z
56z^2 − 22z + 2 = 0
Step 2: Factor left side of equation.):


2(7z − 1)(4z − 1) = 0

Step 3: Set factors equal to 0.):


7z − 1 = 0 or 4z − 1 = 0

ANSWER:    z = 1/7 or z = 1/4

Find the measure of angle B
78 degrees
37 degrees
55 degrees
65 degrees

Answers

Answer:

65°

Step-by-step explanation:

We can apply a theorem known as angle sum property of a triangle,in which all the angles of it sums to 180°,then only it can be a triangle!

In ∆ ABC, by angle sum property,

  • <A+<B+<C = 180°

Given that, <A = 2x+4°,

  • <B = 2x-9°
  • <C = x°

Putting in the values,

  • 2x+4+2x-9+x = 180°(Collect terms and solve them)

Solving in the equation,

  • 4x-5 +x = 180°(Again collect terms)
  • 5x = 185°(Transpose 5 onto RHS)
  • x = 185/5 = 37°

We have to find the value of <B:

  • 2x-9°

Putting the value of <B:

  • 2*37-9
  • 74-9 = 65°

Hence the value of <B = 65°
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