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Grace [21]
3 years ago
10

Compare -2/3, -2/8 Write <, > or = A. = B. < C. >

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

Answer:

\boxed{\bold{< \ -\frac{2}{8}}}

Step-by-step explanation:

Find LCD of the two fractions

LCD = 24

Rewrite fractions

\bold{-\frac{16}{24} } ____ \bold{-\frac{6}{24} }

Just because 6 is smaller than 16, doesn't mean 6 isn't larger. If you have more of something, the portions will be smaller. If you have less of something, the portions will be bigger.

\bold{-\frac{2}{3} } < \bold{-\frac{2}{8} }

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Evaluate the following integral or state that it diverges. <br><br> *integral 0 to 1 (ln x)do
dolphi86 [110]

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

so the value should converge at -1

6 0
2 years ago
The diagram shows the net of a juice box. The box is a rectangular prism.
Hoochie [10]

Answer:

269.6 square centimeters

Step-by-step explanation:

<u><em>The correct question is</em></u>

The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm

we know that

The surface area of a rectangular prism is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

L=6.4\ cm\\W=4\ cm\\H=10.5\ cm

<em>Find the area of the base B</em>

B=LW

substitute the given values

B=(6.4)(4)=25.6\ cm^2

<em>Find the perimeter of the base P</em>

P=2(L+W)

substitute the given values

P=2(6.4+4)=20.8\ cm

<em>Find the surface area</em>

SA=2B+PH

substitute  

SA=2(25.6)+(20.8)10.5=269.6\ cm^2

6 0
3 years ago
A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac
Natasha_Volkova [10]
Let x be the number of 5 points question.
Let y be the number of 2 points question.

Total number of questions is 38
x + y = 38 

Total points is 100
5x + 2y = 100

x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)

From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8

There are 8 5-point questions and 30 2-point questions
5 0
3 years ago
Read 2 more answers
Can someone help me pleaseee?
Soloha48 [4]
(2,4) cause where the lines meet
4 0
2 years ago
Read 2 more answers
PLEASE HELP MEE!! SHOW YOUR WORK PLS
sleet_krkn [62]

Answer:

(8, -8)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = x - 16

5y = 2x - 56

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                5(x - 16) = 2x - 56
  2. Distribute 5:                                                                                                     5x - 80 = 2x - 56
  3. [Subtraction Property of Equality] Subtract 2x on both sides:                     3x - 80 = -56
  4. [Addition Property of Equality] Add 80 on both sides:                                3x = 24
  5. [Division Property of Equality] Divide 3 on both sides:                                x = 8

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = x - 16
  2. Substitute in <em>x</em>:                                                                                                y = 8 - 16
  3. Subtract:                                                                                                          y = -8
5 0
3 years ago
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