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3 years ago

18. The record low temperature in Fargo, ND is

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer:

149 F

Step-by-step explanation:

If you take -35 and find the absoulte value you get 35 and then add that too 114 you get 149.

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5x y>_10 x y<_6 x 4y>_12 x>_0 y>_0 minimum for c=10,000x + 20,000y

Serga [27]

We are given inequalities : 5x+y=>10

x+y<=6

x+4y=>12

x=>0

y=>0 .

Let us graph it first and the find the coordinate of the vertices of feasible region.

Coordinates of the feasible region are (1,5) , (1.474, 2.632) and (4,2).

Now, we need to plug those cordinates (1,5) , (1.474, 2.632) and (4,2) in the given function c=10,000x + 20,000y.

Let us plug those points one by one.

For (1,5)

c=10,000x + 20,000y = 10,000(1)+ 20,000(5)= 10,000+ 100,000 = 110,000.

For (1.474, 2.632)

C = 10,000(1.474)+ 20,000(2.632) = 67,380.

For (4,2)

C = 10,000(4)+ 20,000(2) = 80,000.

We got the minimum value 67,380 for (1.474, 2.632) coordinate.

Therefore, minimum for given function C=10,000x + 20,000y is 67,380.

5 0

4 years ago

A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli

Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

$\frac{ \frac{6}{5} }{ \frac{4}{5} }$

This is the same as

$\frac{6}{5} \div \frac{4}{5}$

To divide two fractions, we multiply by the reciprocal of the second fraction.

$\frac{6}{5} \times \frac{5}{4}$

$\frac{3}{1} \times \frac{1}{2}$

This simplifies to:

$\frac{3}{2} = 1 \frac{1}{2}$

The unit rate is 1.5 cords per hour

3 0

3 years ago

the area of a reactangle mirror is 11 11/16 square feet the width of the mirror is 2 2/4 feet. if there is a 5 foot tall space o

77julia77 [94]

So square feet is area which is legnth times width or area=lw or a=lw

width=w=2 2/4
2/4=1/2
w=2 1/2=5/2

a=lw
11 11/16=187/16
187/16=l(5/2)

multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)

374/80=legnth
simplify
374/80=187/40=4 27/40=legnth

legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit

8 0

4 years ago

The hypotenuse of a right triangle is 16 ft longer than the length of the shorter leg. If the area of this triangle is exactly 1

yarga [219]

Answer:

A. 26 ft

Step-by-step explanation:

You might recognize that this triangle is a 5-12-13 triangle scaled up by a factor of 2. If so, you know immediately, that the hypotenuse is 2×13 = 26 feet in length.

If you're not so lucky, you can write equations involving the lengths of the legs of the triangle. Let those be x and y, with x being the shorter leg. Then the Pythagorean relation tells you ...

x² + y² = (x+16)²

and the area relation tells you ...

120 = (1/2)xy

Using the second equation to write an expression for y, we have ...

y = 240/x

Substituting this into the first equation gives ...

x² + (240/x)² = (x+16)²

(240/x)² = 32x +256 . . . . subtract x²

1800 = x²(x +8) . . . . . . . . .multiply by x²/32

This is a cubic with one real root. It can be solved several ways. I like "graphing" as it is quick and easy. Trial and error also works. The factors of 1800 include 10²·18, so it is clear that x=10 is the solution.

The hypotenuse length is x+16, so is 26 feet.

___

The attachment shows the graphical solution of the original two equations. This tells you the legs of the triangle are 10 and 24, so the hypotenuse will be 10+16 = 26. The 10-24-26 triangle is recognizable as a scaled version of the 5-12-13 triangle often used in math problems.

4 0

3 years ago

What is 5.50 divided by 7. Someone please help i am having a real hard time im not so good at math.

8_murik_8 [283]

0.785714 repeating after the first seven.

4 0

3 years ago