15. A scale drawing of a rectangular field has a length of 4.5 inches and a width of

Solve.and show your work

Marysya12 [62]

Answer:

a) x > − 24 $\frac{3}{4}$

b) x < − 3

c) q < 56

Step-by-step explanation:

a) −2/5x−9<9/10

<=> 2/5x + 9 > − 9/10

<=> 2/5x > − 9/10 − 9

<=> 2×2/2×5x > − 9/10 − 9×10/10

<=> 4/10x > − 99/10

<=> x > − 99/4

<=> x > − 24 $\frac{3}{4}$

b) 4x+6<−6

<=> 4x < − 6 − 6

<=> 4x < − 12

<=> x < − 12/4

<=> x < − 3

c) q+12−2(q−22)>0

<=> q+12−2q −2×(−22)>0

<=> (q−2q) + (12+ 44) >0

<=> −q + 56 >0

<=> q < 56

8 0

3 years ago

Eight times the reciprocal of a number equals 2 times the reciprocal of 10. Find the number.

Marat540 [252]

Answer:x=40

Step-by-step explanation:

To find this

8 times the reciprocal of a number

We get

Assume the number is x

8×1/x=2×1/10

8/x=2/10

8/x=1/5

Cross multiply

x=40

5 0

3 years ago

Write 85% as it's fraction, as simply as possible

cricket20 [7]

Hey ! there

Answer:

Simplest fraction form of 85% is 17/20 .

Step-by-step explanation:

Question says that we have to write the simplest form of 85% as it's fraction .

Solution : -

$\quad \longrightarrow \qquad \:85\%$

We know that ,

Percent ( % ) = 1/100

So ,

$\quad \longrightarrow \qquad \: 85 \times \dfrac{1}{100} \:$

or ,

$\quad \longrightarrow \qquad \: \dfrac{85}{100}$

Reducing the fraction by cancelling it by 5 :

$\quad \longrightarrow \qquad \: \dfrac{ \cancel{85}}{ \cancel{100}}$

We get :

$\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{\dfrac{17}{20} }}}} \quad \bigstar$

Now , we can't reduce 17/20 .

Henceforth , 17/20 is the simplest form of 85% .

<h2>#Keep Learning</h2>

4 0

2 years ago

Read 2 more answers

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

kupik [55]

Answer:

$(a)\ T_{a,b} =(x +a,y+b)$

$(b)\ F_{y\ axis} = (-x,y)$

$(c)\ F_{x\ axis} = (x,-y)$

$(d)\ R_{o,90^o} = (-y,x)$

$(e)\ R_{o,180^o} = (-x,-y)$

$(f)\ R_{o,270^o} = (y,-x)$

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

$T_{a,b} =(x +a,y+b)$

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

$F_{y\ axis} = (-x,y)$

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

$F_{x\ axis} = (x,-y)$

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

$R_{o,90^o} = (-y,x)$

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

$R_{o,180^o} = (-x,-y)$

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

$R_{o,270^o} = (y,-x)$

6 0

3 years ago

Multiply and give the answer in scientific notation:

kakasveta [241]

Step-by-step explanation:

given

$(1.5 \times {10}^{4} )(8 \times {10}^{8} )$

in order to make multiplication easier we need to change the 1.5 into a whole number form.

thus

$(15 \times {10}^{ - 1} \times {10}^{4} )(8 \times {10}^{8} )$

$= (15 \times {10}^{4 - 1} )(8 \times {10}^{8} )$

First law of indices applied there

=(15×10^3)(8×10^8)

=(15×8)(10^3×10^8)

=120×10^3+8 ( first law of indices, which states that , numbers of the same base multiplying each other, take one of the base and add the exponent. and clearly both 15 and 8 are in base 10

=120×10^11

=1.20×10^2 ×10^11

=1.20×10^11+2

=1.20×10^13

so the answer is alt B

7 0

3 years ago