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Viktor [21]
3 years ago
7

What is the solution to x ? 7/3x + 1/3x = 3x + 6/3 + 5/3x

Mathematics
1 answer:
nignag [31]3 years ago
7 0
7/3x+1/3x=3x+6/3+5/3x
8/3x-5/3x=3x+6/3
3/3x=3x+6/3
x=3x+6/3
x-3x=6/3
-2x=2
-x=2/2
-x=1
x=-1
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Heather has divided ​$5400 between two​ investments, one paying 8​%, the other paying 5​%. if the return on her investment is ​$
Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

(\frac{8}{100})x+(\frac{5}{100})y=345...(2)

0.08x+0.05y=345...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=5400-y

Substituting this value in equation (2) we will get,

0.08(5400-y)+0.05y=345

432-0.08y+0.05y=345

-0.08y+0.05y=345-432

-0.03y=-87

\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}

y=2900  

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

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3 years ago
What is the value of z in the figure shown? 45.6 1148​
kupik [55]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Which ordered pair is a solution to the equation? y=x3/4
Leni [432]

Answer:

(8,6)

Step-by-step explanation:

y=x3/4

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y=24/4

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when you input 8 for x, you get 6 for y.

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3 years ago
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Please help me
GrogVix [38]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
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Cp ps unit 8A: Motion distance and displacement lab activity
bazaltina [42]

The difference from distance and displacement is <u>the direction</u>

<h3>Further explanation</h3>

Distance is a scalar quantity that indicates the length of the trajectory that is traveled by an object within a certain interval. Distance has no direction, only has magnitude

Can be simplified distance = total meters traveled

displacement is a vector quantity that shows changes in the position of objects in a certain interval of time. Displacement has magnitude and direction

Can be simplified displacement = distanced traveled from starting point to ending point

Some examples of distanced and displacement

1. first move: move 4 meters north

second move: move 2 meters south

Distanced: 6 meters

Displacement: 2 meters north

2. first move: move 2 meters east

second move: move 4 meters west

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Displacement: 2 meters west

etc

<h3>Learn more</h3>

uniformly accelerated motion

brainly.com/question/13750982

Keywords: distance and displacement lab activity

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