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2 years ago

Where is -5.7 on the number line

Mathematics

2 answers:

vivado [14]2 years ago

5 0

The answer is drawn is in the picture:

Luda [366]2 years ago

5 0

Answer:

see attached

Step-by-step explanation:

-5.7 is 5.7 units to the left of 0 on the number line. It is 7/10 of the way from -5 to -6.

It is a reflection of the point +5.7 across the 0 point on the number line.

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a confectioner has 500 mint, 500 orange, and 500 strawberry flavored sweets. He wishes to make packets containing 10 mint, 5 ora

Readme [11.4K]

$Inside\ each\ packet\ he\ used\ the\ greatest\ amount\ of\ mint\ sweets,\\so\ we\ can\ focus\ only\ on\ it.\\\\We\ should\ divide\ all\ of\ mint\ sweets\ by\ one\ packet\ amount:\\\\500:10=50\\\\He\ can\ make\ 50\ packets\ of\ this\ type.$

8 0

3 years ago

Find the solutions to x⁴-64=0 and the x-intercepts of the graph of y=x⁴-64.

Setler [38]

Answer:

1. $x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

2. $A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

Step-by-step explanation:

We have the expression $x^4-64=0$ to find the solutions we have to clear $x$ . Then,

$x^4-64=0$ Add 64 in both sides of the equation.

$x^4-64+64=64\\x^4=64$

Now we have to re-write the equation:

$u=x^2$ ⇒ $u^2=(x^2)^2\\u^2=x^4$

Then,

$u^2=64$

Apply square root on both members

$\sqrt{u^2}=\sqrt{64}\\u=8 , u=-8$

Now substitute back $u=x^2$

1. $x^2=8$

2. $x^2=-8$

Solving for x:

1. $x=+\sqrt{8}=\sqrt{2^3}=\sqrt{2^2}.\sqrt{2}\\x=2\sqrt{2}\\or\\x=-\sqrt{8}\\x=-2\sqrt{2}$

2. $x=+\sqrt{-8}=\sqrt{(-1).8} =\sqrt{-1}\sqrt{8} \\x=i\sqrt{8}\\x=i.2\sqrt{2} \\or\\x=-\sqrt{-8}\\x=-i.2\sqrt{2}$

Then the solutions for $x^4-64=0$ are:

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

To find the x intercepts of the graph $y=x^4-64$ we have to replace with y=0.

This means: $x^4-64=0$

We already found the solutions for the expression, but we have to consider only the real solutions.

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}$

Because in a graph we can't have imaginary solutions.

Then the x intercepts of the graph are:

$A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

The graph of the function is:

3 0

3 years ago

In a farm consisting only of horses and chickens, there are $146$ total feet. if there are $50$ animals total, how many horses a

inessss [21]

Answer: x = 27, y = 23

Explanation:

x = chickens
y = horses

║ x + y = 50
║ 2x + 4y = 146

║ 2x + 2y = 100
║ 2x + 4y = 146

(2x + 4y = 146) - (2x + 2y = 100)

2y = 46
y = 23 <span> <<<<<<<< We found y ¯\_(ツ)_/¯

Sub y = 23 into </span> x + y = 50

x+ 23 = 50

x = 50 - 23

x = 27 <<<<<<<< We found x ¯\_(ツ)_/¯

6 0

3 years ago

Working together, it takes 2 computers 12 minutes to send out emails. If it takes the slower 30 minutes to the job on its own, h

artcher [175]

Answer:

The faster computer can do the job in 20 mins on it own.

Step-by-step explanation:

Given:

Time taken by slower computer to do job on its own =30 minutes.

Time taken by both the computers to do the job = 12 mins.

We need to find the Time taken by faster computer to do job on its own.

Solution: