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3 years ago

11

Josh has five-eighths of a foot of plywood. To finish building the deck, he needs five times that amount. How many feet of plywo

od does Josh need?
A. 3 feet
B. 3 one-half feet
C. 3 one-eighth feet
D. 3 two-ninths feet

1 answer:

sp2606 [1]3 years ago

6 0

C. 3 one-eighth feet

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The number of measles cases increased 13.6 % to 57 cases this year, what was the number of cases prior to the increase? (Express

ELEN [110]

Answer:

The number of cases prior to the increase is 50.

Step-by-step explanation:

It is given that the number of measles cases increased by 13.6% and the number of cases after increase is 57.

We need to find the number of cases prior to the increase.

Let x be the number of cases prior to the increase.

x + 13.6% of x = 57

$x+x\times \frac{13.6}{100}=57$

$x+0.136x=57$

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Divide both the sides by 1.136.

$\frac{1.136x}{1.136}=\frac{57}{1.136}$

$x=50.176$

$x\approx 50$

Therefore the number of cases prior to the increase is 50.

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3 years ago

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Nana76 [90]

Answer:

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Please help if you can ik it is Pythagorean theorem

kicyunya [14]

Step-by-step explanation:

A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm

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3 years ago

Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?

lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point $(15,0)$ :

$15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0$

So, (15, 0) satisfies all the inequalities

For point $(7.5,7.5)$ :

$7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0$

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

$22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\$

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in $s\geq 15-t$

$7.5\geq 15-0=15$ which is false

So, $(s,t)\neq (7.5,0)$

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3 years ago