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4 years ago

) Lucy, Soling, Kyan, and Daniel are ordering dinner for their families. Each person spends

Mathematics

1 answer:

melisa1 [442]4 years ago

3 0

Answer:

Lucy is 5(m+3)=65

Soling is 5m-3=65

Kyan is 5m+3=65

Daniel is 5(m-3)=65

Step-by-step explanation:

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The total surface area of a cylinder is 690.8. Its diameter is 10 inches. What is it’s height?

AysviL [449]

Answer:

$h=17\ in$

Step-by-step explanation:

we know that

The total surface area of a cylinder is equal to

$SA=2\pi r^{2}+2\pi rh$

where

r is the radius of the base of cylinder

h is the height of cylinder

we have

$SA=690.8\ in^2$

$r=10/2=5\ in$ ----> the radius is half the diameter

assume

$\pi=3.14$

substitute the given values and solve for h

$690.8=2(3.14)(5^{2})+2(3.14)(5)h$

$690.8=157+31.4h$

Solve for h

$31.4h=690.8-157$

$31.4h=533.8$

$h=17\ in$

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3 years ago

In western Kansas, the summer density of hailstorms is estimated at about 2.6 storms per 5 square miles. In most cases, a hailst

vovangra [49]

Answer:

Step-by-step explanation:

mean for 5 square miles is 2.6 storms

mean for 9 square miles is $\frac{2.6}{5}\times 8=4.16=4.2\\\\P(r\geq4|r\geq 2)=\frac{P(r\geq 4nr\geq 2 }{P(r\geq 2)}\\\\=\frac{P(r\geq 4)}{P(r\geq 2)}=0.6557\\\\\\P(r\geq 6|r\geq 3)=\frac{P(r\geq 6nr\geq 3 }{P(r\geq 3)}\\\\=\frac{P(3)+P(4)+P(5)}{1-P(r\geq 2)}\\\\=\frac{0.542905}{0.789762}=0.6874$

4 0

3 years ago

Pure acid is to be added to a 10% acid solution to obtain 90L of 81% solution. What amounts of each should be used?

Vlada [557]

Answer:

Step-by-step explanation:

let X be the quantity of 100% acid

let Y be the quantity of 10% acid

X + Y = 90

Y = 90 - X

X(100) + Y(10) = 90(81)

X(100) + (90 - X)(10) = 90(81)

100X + 900 - 10X = 7290

90X = 6390

X = 71 L

7 0

2 years ago

The number of weeds found growing along the side

olasank [31]

270 = 54 x 4 Hope you have great day!

6 0

3 years ago

Item 15 Fill in the blank so that the ordered pair is a solution of y=12x+2. ( , 14)

maxonik [38]

Answer:

(1, 14)

Step-by-step explanation:

If you substitute the 14 in;

14 = 12x+2

-2 -2

12 = 12x

/12 /12

1 = x

7 0

3 years ago