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Ira Lisetskai [31]

3 years ago

15

Jennifer has a total of 8/9 square yard of fabric to use for making handkerchiefs. Each handkerchief requires 1/6 square yard of

fabric. Write an inequality that can be used to find s, the number of scarves Jennifer can make with the material she has. How many scarves can she make with the material she has?

1 answer:

VikaD [51]3 years ago

6 0

The total amount of material that is needed for the s scarves is calculated by multiplying s and 1/6. This calculated value should not exceed 8/9 in order for the material to still be enough for the project. The inequality is,
s/6 ≤ 8/9
The value of s from the inequality is 5.33. Therefore, the maximum number of scarves that can be made out of the material available is 5.

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Harry is half as old as Mort. Mort is seven years older than Harry. How old is each boy?

AysviL [449]

Harry is 7 Mort is 14

6 0

3 years ago

What value(s) for n will make this expression true?

exis [7]

Answer:

The answer is option 4.

Step-by-step explanation:

As there is a <em>M</em><em>o</em><em>d</em><em>u</em><em>l</em><em>u</em><em>s</em><em> </em><em>s</em><em>i</em><em>g</em><em>n</em><em> </em>so the answer will be always positive.

e.g

|1.2| = 1.2

|-5.6| = 5.6 (always interested in the positive value)

6 0

2 years ago

Read 2 more answers

Solve by completing the square.

enot [183]

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

• take the coefficient of X

that is -8

• divide it by 2

-8 ÷ 2 = -4

• square that number

-4*-4 = 16

• then add it to both sides of the equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871

x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871

Step-by-step explanation:

8 0

2 years ago

Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}

Oksanka [162]

⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

<h3> </h3>

To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by $\large \sf a^{n}.$ The terms of a power are:

<h3> </h3>

Base
Exponent
equal factors
power

<h3> </h3>

✏️ <u>Resolution/Answer</u>:

$\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\$

Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

$\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\$

<em>Multiply </em>the power at denominator of the fraction:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\$

<em>Multiply </em>the numerator numbers together:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=$

$\large \sf \dfrac{-16\cdot16\cdot 256 }{16}=$

$\large \sf \dfrac{-256\cdot 256 }{16}=$

$\large \sf \dfrac{- 65536 }{16}=\\\\$

Simplify the fraction by number 16:

$\\\large \sf \dfrac{- 65536 }{16}=$

$\large \sf \dfrac{- 65536 \div16}{16\div16}=$

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}} \\\\\\$

So this expression in its simplified form = -4096/1 or -4096.

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}}\\\\$

★ Hope this helps! ❤️

6 0

2 years ago

Lisa has 5/8 pound of grapes. 3/4 of the grapes are green. The rest are purple. She divides the purple grapes equally among 10 f

Aleksandr-060686 [28]

if 3/4 of the grapes are green, than 1/4 are purple.

5/8*1/4=5/32

5/32 *1/10= 1/64

Each friend gets 1/64th of a pound of grapes

3 0

3 years ago