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3 years ago

5

If a spider can move 1/2 of a mile every hour, then how many hours would it take for a

1 answer:

SVETLANKA909090 [29]3 years ago

8 0

Answer:

2

Step-by-step explanation:

1/2x4=2

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What is the answer for 23x9+(91+7)

mestny [16]

Answer:

305

Step-by-step explanation:

23×9+98

207+98

305

3 0

3 years ago

Read 2 more answers

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$

Required

Find f when a = 4

Substitute 4 for a

$4 = \sqrt{f + 4} - \sqrt{36 - f}$

Rewrite as:

$\sqrt{36 - f} + 4 = \sqrt{f + 4}$

Square both sides

$(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2$

$(\sqrt{36 - f} + 4)^2 = f + 4$

$36 - f + 8\sqrt{36 - f} + 16 = f + 4$

Collect Like Terms

$8\sqrt{36 - f}= f +f+ 4 - 36 -16$

$8\sqrt{36 - f}= 2f -48$

Divide through by 2

$4\sqrt{36 - f}= f -24$

Square both sides

$16(36-f) = (f - 24)^2$

$16(36-f) = f^2 - 48f + 576$

$576-16f = f^2 - 48f + 576$

$-16f = f^2 - 48f$

Collect like terms

$f^2 - 48f + 16f = 0$

$f^2 -32f = 0$

Factorize

$f(f - 32) = 0$

$f = 0$ or $f = 32$

f can not be 0 because some units must be ordered.

So, f = 32

6 0

3 years ago

X is directly proportional with the square root of Y. If X=128 and Y=16 find: X when Y=36 B) Y when X=48 ( HELP ASAP!)

Tems11 [23]

x = sqrt{y}k

K is the constant of proportionality.

128 = sqrt{16}k

128 = 4k

128/4 = k

32 = k

x = sqrt{y}k

x = sqrt{36}•32

x = 6 • 32

x = 192

Find y when x = 48.

x = sqrt{y}k

48 = sqrt{y}32

48/32 = sqrt{y}

(48/32)^2 = [sqrt{y}]^2

2.25 = y

7 0

3 years ago

8. Brandon went to the Montgomery County Fair. There was a cost of $15.00 to park his car and tickets

Alborosie

Answer:

15+0.75x

Step-by-step explanation:

x=number of tickets

3 0

3 years ago

Which expressions are equivalent to (2 Superscript 5 Baseline) Superscript negative 2? 2–10 and StartFraction 1 Over 20 EndFract

Serggg [28]

Answer:

$\frac{1}{2^{10}} \ and\ \frac{1}{1024}$

Step-by-step explanation:

Given

$(2^{5})^{-2}$

Required

Find the equivalent;

To find the equivalent of the given expression, we make use of laws of indices;

Using the following law of indices;

$(a^m)^n = a^{m*n}$

So;

$(2^{5})^{-2}$ becomes

$(2^{5})^{-2} = 2^{5*-2}$

$(2^{5})^{-2} = 2^{-10}$ ------------ This is one equivalent

Solving further;

Using the following law of indices;

$a^{-m} = \frac{1}{a^m}$

So;

$(2^{5})^{-2} = 2^{-10}$ becomes

$(2^{5})^{-2} = \frac{1}{2^{10}}$

$2^10 = 1024$

Hence;

$(2^{5})^{-2} = \frac{1}{1024}$

Conclusively; the equivalents of $(2^{5})^{-2}$ are $\frac{1}{2^{10}} \ and\ \frac{1}{1024}$

4 0

3 years ago