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Angelina_Jolie [31]

3 years ago

14

Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply. 3 c + StartFraction

4 Over 5 EndFraction + one-half 1 + 2 + 3c + 4 +5 StartFraction 4 Over 5 EndFraction + one-half + 3 c 2 + 3c + 4 One-half + StartFraction 4 Over 5 EndFraction + 3 c

2 answers:

timama [110]3 years ago

6 0

Answer:

1,3.and 5

Step-by-step explanation:

dusya [7]3 years ago

4 0

Question:

Which expressions are equivalent to ½ + 3c + ⅘.

Check all that apply.

Answer:

½ + 3c + ⅘ is equivalent to

1. ⅒(30c + 13)

2. 3c + 13/10

Step-by-step explanation:

The options are not well presented.

However, I'll give simplify the given expression in the question above.

Given: ½ + 3c + ⅘.

Required: Simplify

We start by collecting like terms

3c + ½ + ⅘

From this point, the expression can be solved in two ways

1. Solve fractions

This gives [Find LCM]

3c + (5 + 8)/10

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

2. Convert fractions to decimal

½ + 3c + ⅘ becomes

0.5 + 3c + 0.8

Collect like terms

3c + 0.5 + 0.8

3c + 1.3

Convert decimal to fraction

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

This is as far as the expression can be evaluated

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Answers:

1. a=600

2. b=8.5

3. c=1

4. d= 5/3

5. e= *error*

6. f=20

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3 years ago

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Answer:

63+48= 3(21+16)

Step-by-step explanation:

Check answer:

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3 years ago

Point C is reflected across AB such that it maps onto point D. Points C and D are then connected to form CD . Which of the follo

FinnZ [79.3K]

Answer:

2)CD is parallel to AB

3 0

4 years ago

A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of the state’s citrus crop. It t

inna [77]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

<em>The linear equation of the function is: </em> $g(P) =22.9P +7$ <em>, while its inverse is: </em> $g^{-1}(c) = \frac{c - 7}{22.9}$ <em>.</em>
<em>The domain is from 0% to 100%, while the range is from 7 to 29.9</em>

<em />

Given that:

$c = g(P)$

<u>Input and Output quantity</u>

The input quantity is the <em>percentage of frozen citrus crop</em>, while the output quantity is the <em>cost of box of oranges</em>

<u>Linear Function</u>

The given parameters can be written as:

$(P_1,c_1) = (20\%, 11.58)$

$(P_2,c_2) = (80\%, 25.32)$

Calculate the slope (m)

$m = \frac{c_2 - c_1}{P_2 - P_1}$

So, we have:

$m = \frac{25.32 - 11.58}{80\% - 20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The equation is then calculated using:

$c =m(P - p_1) + c_1$

So, we have:

$c =22.9(P - 20\%) + 11.58$

$c =22.9P - 4.58 + 11.58$

$c =22.9P +7$

So, the function is:

$g(P) =22.9P +7$

<u>The domain and the range</u>

The domain is the <em>possible input value (i.e. possible values of P).</em>

Because P is a percentage, its possible values are 0% to 100%.

Hence, the domain of the function is: $[0\%,100\%]$

The range is the <em>possible output value (i.e. possible values of c).</em>

When P = 0% and 100%

$c = 22.9 \times 0\% + 7 = 7$

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

<u>The meaning of </u> $g^{-1}(12)$ <u />

$g^{-1}(12)$ is an inverse equation, where 12 represents the <em>cost of box of oranges.</em>

So, $g^{-1}(12)$ represents the percentage of frozen citrus crop, when the cost is $12.

<u>The inverse formula</u>

We have:

$c =22.9P +7$

Make P the subject

$22.9P = c - 7$

Divide by 22.9

$P = \frac{c - 7}{22.9}$

So, the inverse function is:

$g^{-1}(c) = \frac{c - 7}{22.9}$

<em>This is used to calculate the percentage of frozen citrus crop, when the cost is known.</em>

<em />

$g^{-1}(c) = \frac{c - 7}{22.9}$

Substitute 12 for c

$g^{-1}(12) = \frac{12 - 7}{22.9}$

$g^{-1}(12) = \frac{5}{22.9}$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

4 0

3 years ago

What are the coordinates of point P on the directed line

lutik1710 [3]

Answer:

<u>(</u><u>-3.5, 2.3</u><u>)</u>

Step-by-step explanation:

Let the point P have coordinates : (x, y)

The line (from R to Q) is divided in the ratio :

Coordinates of :

Q = (-5, 3)
R = (4, -1)

Using section formula :

x = mx₂ + nx₁ / m + n
x = 5(-5) + 1(4) / 5 + 1
x = -21/6 = -7/2
x = -3.5

y = my₂ + ny₁ / m + n
y = 5(3) + 1(-1) / 5 + 1
y = 14/6 = 7/3
y = 2.3

The coordinates of the point P are : <u>(</u><u>-3.5, 2.3</u><u>)</u>

7 0

2 years ago