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3 years ago

How can equivalent fractions help when adding mixed numbers?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

By changing a mixed number to an equivalent fraction you will be able to add easier

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Find the equation of a plane that is perpendicular to the vector −4i⃗ −4j⃗ −k⃗ and passing through the point (−2,−5,5)

vredina [299]

hello ....

the equation of a plane that is ; ax+by+cz +d =0

the vector perpendicular to this plane is : V(a,b,c)

in this exercice ; a = -4 b= -4 c = -1

then: the equation of a plane that is ; -4x-4y-z +d =0

but the plane passing through the point (−2,−5,5) :

-4(-2)-4(-5)-(5) +d =0

23+d =0

d =-23

the equation of a plane is : -4x-4y-z-23 =0

5 0

4 years ago

Write and solve an equation to find the value of the X I'm going to post three pictures Can someone please help me get the answe

marta [7]

9514 1404 393

Answer:

x = 19
x = 34
x = 39

Step-by-step explanation:

1. A right angle has a measure of 90°. The whole is the sum of the parts.

(2x +3)° +49° = 90°

2x +52 = 90 . . . . . . . . divide by °, collect terms

2x = 38 . . . . . . . . . . . . subtract 52

x = 19 . . . . . . . . divide by 2

2. A linear pair measures 180°. The whole is the sum of the parts.

(x -5)° +151° = 180°

x +146 = 180 . . . . . . . divide by °, collect terms

x = 34 . . . . . . . . .subtract 146

3. We presume this pair of angles is supposed to be supplementary. That is, their sum is 180°.

64° +(3x -1)° = 180°

3x +63 = 180 . . . . . . . divide by °, collect terms

3x = 117 . . . . . . . . subtract 63

x = 39 . . . . . divide by 3

3 0

3 years ago

if anyone can solve this gets a $10 gamestop card i already got the codeSolve for x. Show each step of the solution. 2.5(10 - x)

schepotkina [342]

Remark

Forget the Gamestop. I'd never use it. This one is on the house.

Solution

2.5(10 - x) + 10 = 72 - 1.5x*(5x + 12) The first step is to remove the brackets. Be very careful you understand the bracket on the right.

25 - 2.5x + 10 = 72 - 7.5x - 18 Study the signs carefully. Collect like terms.

35 - 2.5x = 54 - 7.5x Add 7.5x to both sides.

35 - 2.5x + 7.5x = 54 - 7.5x + 7.5x

35 + 5x = 54 Subtract 35 from both sides.

5x = 19 Divide by 5

x = 19/5

x = 3 4/5 = 3.8

Check

When you numbers are so cumbersome, you should check the answer.

LHS

2.5(10 - 3.8) + 10

2.5(6.2) + 10

15.5 + 10

25.5

RHS

72 - 1.5(5*3.8 +12)

72 - 1.5(19 + 12)

72 - 1.5(31)

72 - 46.5

25.5

RHS = LHS The solution checks.

4 0

4 years ago

5/14 - - 1/14 I will provide a picture

m_a_m_a [10]

Answer:

$\frac{3}{7}$

Step-by-step explanation:

Simplify: $\frac{5}{14} - (-\frac{1}{14}) = \frac{5}{14} + \frac{1}{14}$
$\frac{5}{14} + \frac{1}{14} = \frac{6}{14}$
$\frac{6}{14} = \frac{3}{7}$

I hope this helps!

3 0

3 years ago

Trey runs each lap in 8 minutes. He will run at least 9 laps today. What are the possible numbers of minutes he will run today?

Yakvenalex [24]

Answer:

72 $\leq$ t

Solution:

8(9) $\leq$ t

If he can run more than 9 laps today, but might not, then the total number of minutes can be more then or equal to nine laps.

3 0

2 years ago