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masya89 [10]
3 years ago
7

What is the answer to 7 ⅚ - 3 ⅓=?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

4 1/2

Step-by-step explanation:

7 5/6 - 3 1/3

changing to improper fractions;

47/6 - 10/3 LCM = 6

(47 - 20)/6

27/6 = 9/2 = 4 1/2.

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Whats the vertex of a parabola?<br> Round to the nearest hundredth.
olya-2409 [2.1K]

Answer:

To get the x-intercept we need the equation of the parabola;

the vertex form of the equation is given by:

y=a(x-h)^2+k

where:

(2,13) is the vertex:

Therefore;

y=a(x-2)^2+13

when x=0, y=5

Therefore the value of a will be:

5=a(0-2)^2+13

5-13=4a

4a=-8

a=-2

therefore the equation of the parabola will be:

y=-2(x-2)^2+13

y=-2x^2+8x+5

the x-intercept will be:

x=2-sqrt(7.5)

or

x=2+sqrt(7.5)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Five times the sum of a number and 27 is greater than or equal to six times the sum of that
AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

  • <em>Five times the sum of a number and 27  </em>is written as: 5(x + 27)
  • <em>greater than or equal </em>is written as:  \geq
  • <em>six times the sum of that number and 26'  </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

solving

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

<em />5x+135\ge \:6x+156<em />

<em />5x+135-135\ge \:6x+156-135<em />

<em />5x\ge \:6x+21<em />

<em />5x-6x\ge \:6x+21-6x<em />

<em />-x\ge \:21<em />

<em />\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}<em />

<em />\left(-x\right)\left(-1\right)\le \:21\left(-1\right)<em />

<em />x\le \:-21<em />

Therefore,

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

6 0
3 years ago
Quick please no links or anything just the straight up answer answer both please
Serjik [45]
Answer: 42 degrees

Explanation: KFD=84 KFL is half of KFD(84)
84 divided by 2 = 42
4 0
2 years ago
Each ruby in the crowns 1/2carat.How many total carats are the rubies?
Vitek1552 [10]

Answer:

how many rubys are there

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do I solve for d if d/M-3=R
nignag [31]

Answer:

d = (R+3)(M)

Step-by-step explanation:

d/M - 3 = R

Add 3 both sides

d/M = R+3

Multiply M both sides

d = (R+3)(M)

Hope this helps!

5 0
3 years ago
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