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3 years ago

Solve ( 2 4/16 + 3 2/3 )

Mathematics

2 answers:

elena-s [515]3 years ago

7 0

Answer:

5 11/12

Step-by-step explanation:

2 4/16 = 2 1/4

2 1/4 + 3 2/3 = 9/4 + 11/3

27/12 + 44/12 = 71/12 = 5 11/12

jeyben [28]3 years ago

7 0

Answer:

Step-by-step explanation:

2 2/8 + 3 2/3

18/8 + 11/3

54/24 + 88/24

142/24

5.91

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3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y <10

Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

$5x-2y\leq 10$ ----> inequality A

isolate the variable y

Adds 2y both sides

$5x \leq 10+2y$

Subtract 10 both sides

$5x-10 \leq 2y$

Divide by 2 both sides

$2.5x-5 \leq y$

Rewrite

$y \geq 2.5x-5$

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is $y=2.5x-5$

The slope of the solid line is positive $m=2.5$

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

$x+y < 5$ -----> inequality B

Isolate the variable y

Subtract x both sides

$y < -x+5$

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is $y=-x+5$

The slope of the dashed line is negative $m=-1$

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

7 0

3 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

Quick help!!! Plsss:)

iogann1982 [59]

Answer: for the on your own the equation is y=2x for the outputs on the other thing just add the numbers up

Step-by-step explanation:

4 0

3 years ago

Use the rule x + 7 to find the missing number in the table.

dexar [7]

Step-by-step explanation:

<u>Given:</u>

Rule, x + 7.
Table values.

The rule is telling us to add 7 to the given value of x.

Add 7 to 12.

$7 + 12 = 19$

The missing number is 19.

3 0

2 years ago

cuharra studied Monday and Tuesday for her math test she spent a total of 120 minutes studying. she spend an extra 15 minutes on

Mariulka [41]

135? is what i think

5 0

3 years ago