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natima [27]
3 years ago
6

Tim and Al are bricklayers. Tim can construct an outdoor grill in 5 days. If Al helps Tim, they can build it in only 3 days. How

long
would it take Al to build the grill alone? Write your answer as an integer, simplified fraction, or mixed number.
It would take Al
days to build the grill alone.
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

It would take Al 7.5 days to build the grill alone.

Step-by-step explanation:

Since Tim and Al are bricklayers, and Tim can construct an outdoor grill in 5 days, and if Al helps Tim, they can build it in only 3 days, to determine how long would it take Al to build the grill alone should be done the following calculation:

1/5 + X = 1/3

0.20 + X = 0.333

X = 0.333 - 0.20

X = 0.1333333

X = 1 / 7.5

Therefore it would take Al 7.5 days to build the grill alone.

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What are the solutions of the equation x4 95x2 â€"" 500 = 0? Use factoring to solve.
liq [111]

All the values of the <em>x</em> <em> </em>for the given function are \sqrt{5},-\sqrt{5}, 10i and -10i.

Given-

Given function is,

x^{4}+95x^2-500=0

Rewrite the equation,

(x^2)^2+95x^2-500=0

Let <em>u </em>in place of x^2 and rewrite the equation in the form of u,

u^2+95u-500=0

Break the 95 in factors and rewrite the equation,

u^2+100u-5u-500=0

u(u+100)-5(u+100)=0

(u+100)(u-5)=0

Replace the value of u with x^2,

(x^2+100)(x^2-5)=0

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

x^2-5=0

further, solve it,

x^2=5

x=\sqrt{5},-\sqrt{5}

And another factor is

x^2+100=0

x^2=-100

x=10i,-10i

Hence, all the values of the <em>x </em>for the given function are \sqrt{5},-\sqrt{5},  10i , and  -10i.

For more about the factorization, follow the link below-

brainly.com/question/6810544

5 0
3 years ago
Pls help in this<br> 7.6x5.2
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Answer:

39.52

Step-by-step explanation:

3 0
3 years ago
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Total surface area of this shape
skelet666 [1.2K]

Answer:

6 * 10 * 6

Step-by-step explanation:

6 0
4 years ago
Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations as well as in your fi
kakasveta [241]

Answer:

340 units2

Step-by-step explanation:

draw perpendicular line from upper left corner of trapezoid to cut bottom line(=9) into two part having length 3 and 6. Now a triangle and rectangle are formed.

The triangle has base=3, angle 60 degrees and angle of 90 degrees.

Finding third angle:

180-60-90= 30

finding other two sides of triangle by using law of sines:

a/sinA=b/sinB

3/sin30=b/sin60

b=3sin60/sin30

b=3(0.866)/0.5

b=5.2

b is the perpendicular line we drew

a/sinA=b/sinB

3/sin30=c/sin90

c=3sin90/sin30

c=3(1)/0.5

c=6

c is the hypotenuse of the triangle

Now Finding the perimeter of base:

The perimeter of the base=sum of the lengths of sides.

p=6+9+6+5.2

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area of trapezoid:

A= (a+b)h/2

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total surface area of prism:

TSA= ph + 2A

where h is height of prism = 10

TSA= 26.2(10) + 2(39)

       =340

Hence total surface area of the given prism is 340 units square!

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4 years ago
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Here are four number cards.
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Answer:

a 87

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Step-by-step explanation:

It you like my answer than please mark me brainliest thanks

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