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3 years ago

Solve for the unknown variable 28.3=2(3.14)r

Mathematics

1 answer:

olasank [31]3 years ago

6 0

R= 1415/314 or if you need it simplified R=4 159/314 or as a decimal R=4.50637

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A 2 digit number is 5 times its units digit. the sum of the digits is 7. find the number

astraxan [27]

X - tens digit
y - units digit

$10x+y=5y\\
x+y=7\\\\
10x=4y\\
x=7-y\\\\
10(7-y)=4y\\
70-10y=4y\\
14y=70\\
y=5\\\\
x=7-5\\
x=2\\\\
10\cdot2+5=\boxed{25}$

6 0

4 years ago

An automobile manufacturer can produce up to 300 cars per day. The profit made from the sale of these vehicles can be modeled by

drek231 [11]

Answer: 175

Step-by-step explanation:

To find maximum, we need to find the vertex.

The x-value of the vertex is the number of automobiles that should be made and sold. The y-value is the maximum profit.

P(x) = -10x² + 3500x - 66,000

a=-10, b = 3500, c=-66,000

$x=\dfrac{-b}{2a}$

$x=\dfrac{-(3500)}{2(-10)}$

$x = \dfrac{-3500}{-20}$

$x = 175$

BONUS:

The maximum profit is: P(x) = -10(175)² + 3500(175) - 66,000

= -300,625 + 612,500 - 66,000

= 245,875

8 0

3 years ago

Which pair shows equivalent expressions?

DENIUS [597]

2( $\frac{2}{5}$ x + 4) = $\frac{4}{5}$ x + 4 which is the second option is the equivalent expression.

Explanation:

First, we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to $\frac{2}{5}$ x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 ( $\frac{2}{5}$ x + 2) = $\frac{4}{5}$ x + 4.

2) (two-fifths x + 4) = 2( $\frac{2}{5}$ x + 4) = $\frac{4}{5}$ x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2 $\frac{2}{5}$ x + 1

2) Four-fifths x + 4 = $\frac{4}{5}$ x + 4

3) Four-fifths x + 2 = $\frac{4}{5}$ x + 2

4) Two and two-fifths x + 8 = 2 $\frac{2}{5}$ x + 8.

Out of the various LHS and RHS values, the $1^{st}$ LHS value and $2^{nd}$ RHS value is the same. So option 2 is the answer.

7 0

3 years ago

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I need help in an hour or less pls The number N of bacteria in a refrigerated food is given by N(T ) = 20T 2 – 80T + 500, 2 ≤ T

weqwewe [10]

Answer:

The number N of bacteria in a refrigerated food is given by N(T) = 10T^2 - 20T + 600, 2 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t + 2, 0 ≤ t ≤ 6 where t is the time in hours.

Step-by-step explanation:

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4 years ago

Isabella’s mom purchases 1 adult game, 6 child games, a pirate hat, and 30 arcade tokens. She has a coupon for StartFraction 1 o

Rainbow [258]

Answer:44.25

Step-by-step explanation:

8 0

4 years ago

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