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3 years ago

Please help ? Question 27 and question 28

Mathematics

1 answer:

ozzi3 years ago

4 0

Answer:

Rhe first question answer is and the second question answer is c

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A sneaker company can make 50 pairs of sneakers for every 6 yards of material. Make a table to show the relation between materia

Law Incorporation [45]

A sneaker company can make 50 pairs of sneakers for every 6 yards of material.

Then in each case you can consider proportion.

1. 50 pairs -- 6 yards,

80 pairs -- x yards.

Mathematically,

$\dfrac{50}{80}=\dfrac{6}{x},\\ \\x=\dfrac{80\cdot 6}{50}=9.6\ yards.$

2. 50 pairs -- 6 yards,

100 pairs -- x yards.

Mathematically,

$\dfrac{50}{100}=\dfrac{6}{x},\\ \\x=\dfrac{100\cdot 6}{50}=12\ yards.$

3. 50 pairs -- 6 yards,

120 pairs -- x yards.

Mathematically,

$\dfrac{50}{120}=\dfrac{6}{x},\\ \\x=\dfrac{120\cdot 6}{50}=14.4\ yards.$

4. 50 pairs -- 6 yards,

140 pairs -- x yards.

Mathematically,

$\dfrac{50}{140}=\dfrac{6}{x},\\ \\x=\dfrac{140\cdot 6}{50}=16.8\ yards.$

Thus, the table is

$\begin{array}{cc}\text{Pairs}&\text{Yards}\\50&6\\80&9.6\\100&12\\120&14.4\\140&16.8\end{array}$

The domain of the relation is the set $\{50,80,100,120,140\}$ and the range of the relation is $\{6,9.6,12,14.4,16.8\}.$ See attached diagram for the graph of the relation.

4 0

3 years ago

The Smiths leave Indiana at 6:00 am to travel to Georgia. They stop for 4 breaks totaling 3 hours and stop to visit some friends

zimovet [89]

Answer:

It's 975 because they traveled for 17 hours and had stopped for 2 hours do 17-2=15, so 15×65=975

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A table costs $350. There is also a sales tax of 7%. How much does the table cost, including sales tax?

IrinaVladis [17]

Tax
$350x0.07
=$24.50

(0.07 is the 7% tax in decimal form)

Total cost
$350+$24.50
=$374.50

OR

$350x107%
=$374.50

1.07 is the table cost (100%) plus the sales tax (7%)

The table costs $374.50 with tax.

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20-%20%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%20%20%5Csqrt%7B%20%7B6%7D

strojnjashka [21]

Answer:

x = 0

Step-by-step explanation:

${2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\ \\ {2}^{x} - \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\ \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\ \\ {( {2}^{x} )}^{2} = {(\sqrt{ {6}^{x} })}^{2} \\ \\ {2}^{2x} = {6}^{x} \\ \\ {2}^{2x} = {(2 \times 3)}^{x} \\ \\ {2}^{2x} = {2 ^{x} \times 3}^{x} \\ \\ \frac{ {2}^{2x} }{ {2}^{x} } = 3^{x} \\ \\ {2}^{2x - x} = {3}^{x} \\ \\ {2}^{x} = {3}^{x} \\ \\ \frac{ {2}^{x} }{ {3}^{x} } = 1 \\ \\ \bigg( \frac{2}{3} \bigg)^{x} = 1 \\ \\ \implies \: x = 0 \\ \\ \because \: for \: x = 0 \\ \\ \bigg( \frac{2}{3} \bigg)^{0} = 1$

5 0

3 years ago

Find the value of x^2 + 1 divided by x^2 if x-1 divided by x =5

MrRa [10]

Answer:

x^2+1/x^2

(x+1/x)^2 = x^2+1/x^2 +2

(5)^2 = x^2+1/x^2 + 2

25 = x^2+1/x^2 + 2

25-2 = x^2+1/x^2

23 = x^2+1/x^2

Step-by-step explanation:

6 0

3 years ago