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3 years ago

Make g the Subject of the formula 3e + 4g = 7 + 9eg

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

g can be written as $\frac{7-3e}{4-9e}$

<u>Explanation:</u>

Given:

3e + 4g = 7 + 9eg

We have to make g as the subject.

So,

Shifting g variable to left hand side and the rest to the right hand side.

4g - 9eg = 7 - 3e

g( 4 - 9e ) = 7 - 3e

$g = \frac{7-3e}{4 - 9e}$

Therefore, g can be written as $\frac{7-3e}{4-9e}$

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11. At Price Chopper you are purchasing groceries and the bill comes out to be

Vinil7 [7]

9514 1404 393

Answer:

$181.19

Step-by-step explanation:

The coupon means you will pay 70% of the bill. The tax means you will pay 105.65% of the amount after the coupon is applied. Your final bill is ...

$245 × 0.70 × 1.0565 ≈ $181.19

_____

Your bill after the coupon is applied will be ...

bill - 0.30×bill = bill(1 - 0.30) = bill×0.70

The amount after tax is added is ...

charge + 0.0565×charge = charge(1 +0.0565) = charge×1.0565

Since the final bill is the product of these factors, the order of application does not matter. Conventionally, tax is applied last, so that accounting with the tax collection authority is properly maintained.

4 0

3 years ago

My monthly cell phone bill is $40 plus $.10 for each text message. Write an equation to show the cost of texting. What is my tot

Otrada [13]

Answer:

y=.1x+40; Your total monthly bill is $48 for 80 text messages.

Step-by-step explanation:

y is your total bill

x represents each text message

40 is you cellphone bill cost

.1 is the cost per text message

(y=.1x+40 becomes your equation)

plug 80 to represent "x"

y=.1*80+40 ---> y=48

your total monthly bill is $48

8 0

3 years ago

What expression is equivalent to 4(2x+7)

Serga [27]

Not sure if you have an answer choice but with my guess distribute the sums and it should leave an expression of 8X+28

5 0

3 years ago

Negative 5 1 half plus 7 3 over 4

erastovalidia [21]

Answer:

$2 \dfrac{1}{4}$

Step-by-step explanation:

$-5 \dfrac{1}{2} + 7 \dfrac{3}{4} =$

$= -5 \dfrac{2}{4} + 7 \dfrac{3}{4}$

$= 7 \dfrac{3}{4} - 5 \dfrac{2}{4}$

$= 2 \dfrac{1}{4}$

8 0

2 years ago

For what value(s) of k will the relation not be a function

skelet666 [1.2K]

We are given two relations

(a)

Relation (R)

$R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]$

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

$k-8.3+2.4k=-\frac{3}{4} k$

$3.4k-8.3=-\frac{3}{4}k$

$3.4k\cdot \:10-8.3\cdot \:10=-\frac{3}{4}k\cdot \:10$

$4k-83=-\frac{15}{2}k$

$34k=-\frac{15}{2}k+83$

$\frac{83}{2}k=83$

$83k=166$

$k=2$ ............Answer

(b)

S = {(2−|k+1| , 4), (−6, 7)}

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

$2-|k+1|=-6$

$2-\left|k+1\right|-2=-6-2$

$-\left|k+1\right|=-8$

$\left|k+1\right|=8$

Since, this is absolute function

so, we can break it into two parts

$|f\left(k\right)|=a\quad \Rightarrow \:f\left(k\right)=-a\quad \mathrm{or}\quad \:f\left(k\right)=a$

$k+1=-8\quad \quad \mathrm{or}\quad \:\quad \:k+1=8$

we get

$k+1=-8\quad$

$k=-9$

$k+1=8\quad$

$k=7$

so,

$k=-9\quad \mathrm{or}\quad \:k=7$ ...............Answer

5 0

3 years ago