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DedPeter [7]
3 years ago
6

Evaluate the expression 27- h when h=21

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

6

Step-by-step explanation:

27-h=27-(21), since h is equal to 21.

27-21=6

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20y-10x=5 in slope intercept form can you explain the steps
Studentka2010 [4]

Given:

The equation is

20y-10x+5

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

y=mx+b

Where, m is slope and b is the y-intercept.

We have,

20y-10x=5

We need to isolate y. Add 10x on both sides.

20y-10x+10x=5+10x

20y=5+10x

Divide both sides by 20.

\dfrac{20y}{20}=\dfrac{5+10x}{20}

y=\dfrac{5}{20}+\dfrac{10x}{20}

y=\dfrac{1}{4}+\dfrac{x}{2}

y=\dfrac{1}{2}x+\dfrac{1}{4}

Therefore, the slope intercept form of the given equation is y=\dfrac{1}{2}x+\dfrac{1}{4}.

4 0
3 years ago
Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12
barxatty [35]

<u>Answer: </u>

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

<u> Solution: </u>

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7    ------(1)

Also given that f(2) = 12.  

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,  

f(3) = f(3-1) – 7  

= f(2) – 7  

= 12 – 7  

= 5

Using given recursive rule and calculated  value of f(3) calculating f(4)

Substituting x = 4,  

f(4) = f(4-1) – 7  

= f(3) – 7  

= 5– 7  

= -2

Using given recursive rule and calculated  value of f(4) calculating f(5)

Substituting x = 5,  

f(5) = f(5-1) – 7  

= f(4) – 7  

= -2– 7  

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

8 0
4 years ago
Converting a decimal to a mixed number as a improper fraction
Juli2301 [7.4K]
7 2/10 (or 7 1/5)
36/5
8 0
4 years ago
How to Divide 80 into the given Fractions
Virty [35]
7/10 of 80 is 56
4/5 of 80 is 64
3/4 of 80 is 60
5/8 of 80 is 50
1/2 of 80 is 40
1/4 of 80 is 20
1/10 of 80 is 8
1/8 of 80 is 10

to work these out divide the number by the denominator (bottom number) and multiply by the numerator (top number)
4 0
4 years ago
Find the values of x and y
vitfil [10]

Hi there!

\large\boxed{y = 12, x = 3}

The two trapezoids are similar, so we can determine a common scale factor:

OL/UR = NM/TS

9/3 = 6/2

3 = 3

Trapezoid ONML is 3x larger than UTSR, so:

RS = 4, LM = y

3RS = LM

3 · 4 = y = 12.

Find x using the same method:

3UT = ON

3(2x+1) = 4x + 9

6x + 3 = 4x + 9

2x = 6

x = 3.

4 0
3 years ago
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