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lutik1710 [3]
3 years ago
7

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 5/4x-

2/3y=8 and 1/4x+5/3y=7
Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

has only one solution: x=8, y=3

Step-by-step explanation:

\left \{ {{\frac{5x}{4} -\frac{2y}{3}=8(equation 1)} \atop {\frac{x}{4} +\frac{5y}{3} =7(equation 2)}} \right\\

substract  \frac{1}{5}×(equation 1) from equation2

\left \{ {{\frac{5x}{4} -\frac{2y}{3}=8(equation 1)} \atop {0x +\frac{9y}{5} =\frac{27}{5}(equation 2)}} \right\\

from equation 2 we obtain

y=\frac{27}{9} =3

and we replace 3 in equation 1

\frac{5x}{4} -\frac{2(3)}{3} =8\\\\\frac{5x}{4} =10\\\\x=\frac{40}{5} =8

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Find the distance between each pair of points. round your answer to the nearest tenth.
goldenfox [79]

Answer:

5.4

Step-by-step explanation:

To find the distance between each pair of points, we use the distance formula, which is:

d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2  }

So we have

x_{1} = 2\\ x_{2} = 4\\y_{1} = 8\\y_{2}=3

When we plug in the values into the formula we get:

d = \sqrt{(4-2)^2 + (3-8)^2}

d = \sqrt{4 + 25}\\ =\sqrt{29}\\ =5.4

3 0
3 years ago
Read 2 more answers
Ursula bought 9 dozen rolls of first aid tape for the health office. The rolls were divide equally into 4 boxes. How many rolls
vredina [299]
We know that 12 equals one dozen. It is not asking for a dozen, but for 9 dozen. So, we need to multiply 9 by 12. 9*12 = 108. 

It says the rolls of first aid tape were divided equally into 4 boxes. We need to divide these 108 rolls into 4 equal groups, since that is what took place in the problem. So, we divide 108 by 4. 
108/4 = 27. There are 27 rolls in each box. 
4 0
3 years ago
A bottle of has a capacity of 0.43 L. How many milliliters of shampoo does the bottle contain (1 L = 1000 mL
jenyasd209 [6]

Answer:

1 = 1000

0.43 L = _________ mL

0.43 * 1000 = 430 mL

<em><u></u></em>

<em><u>430 mL is the answer.</u></em>

<em><u></u></em>

<em><u>Hope this helps</u></em>

4 0
2 years ago
What the area of this shape is. Please help need to be down by tomorrow!!
puteri [66]

The area of this shape is 12.

Area of a triangle = 1/2 x bh

b= base

h = height

So,

1/2 (6)(4)=12

Hope this helps!

7 0
2 years ago
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Can someone teach me how to answer this? Thanks!
DaniilM [7]

Answer:

\left( fg\right)  \left( x\right)  =2x^3\sqrt[3]{x}\\\\\left( \frac{f}{g} \right)  \left( x\right)  =\frac{2x^{3}}{\sqrt[3]{x} }

Step-by-step explanation:

5 0
1 year ago
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