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Soloha48 [4]
3 years ago
9

How many gallons of 80% antifreeze solution must be mixed with 80gallons of 20% antifreeze to get a mixture that is 70% antifree

ze
Mathematics
1 answer:
kvasek [131]3 years ago
5 0
X=360 GALLONS OF 80% ANTIFREEZE IS USED
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Fully simplify −10x3y2(9x)
lbvjy [14]

Answer:

Step-by-step explanation:

-10*9*x^3*x*y^2 = -90x^4y^2

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3 years ago
A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity
taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

h(t)=-16t^{2}+64t+180

Where h(t) is the height of the rock at a time t.

Now, if  h(t)=48 ft we can find t and then the velocity of the rock at that height:

48=-16t^{2}+64t+180

Rearranging the equation:

-16t^{2}+64t+132=0

Multiplying the equation by -1:

16t^{2}-64t-132=0

Solving with the quadratic formula t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}  , where a=16, b=-64, c=-132 .

t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}

Choosing the positive result of the equation:

t=5.5 s  

Since velocity V is defined as the traveled distance h(t) in a given time t, we have:

V=\frac{h(t)}{t}

V=\frac{48 ft}{5.5 s}

V=8.727 ft/s \approx 8.73 ft/s This is the velocity of the rock at the height of 48 feet

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3 years ago
What is this tool used for ?
stealth61 [152]

Answer: An item or implement used for a specific purpose. A tool can be a physical object such as mechanical tools including saws and hammers or a technical object such as a web authoring tool or software program.

Step-by-step explanation: thank for watching.......

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Answer:

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Step-by-step explanation:

6(4m+5)

Use the distributive property to multiply 6 by 4m+5.

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You are comparing to wireless services. Verizon changes $35 a month and $5 per gigabyte of data.
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10 = 5x
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