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3 years ago

The sum of two numbers is 23. One number is 9 more than the other. Find the numbers.

Mathematics

1 answer:

forsale [732]3 years ago

5 0

Answer:

the two numbers i think are 16 and 7.

Step-by-step explanation:

this is bc 16 - 7 is 9, and 16 + 7 is 23

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A rectangular area of 36 f t2 is to be fenced off. Three sides will use fencing costing $1 per foot and the remaining side will

OLga [1]

Answer:

x = 8,49 ft

y = 4,24 ft

Step-by-step explanation:

Let x be the longer side of rectangle and y the shorter

Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x

Perimeter of rectangle:

P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y

C(x,y) = 1 * ( 2x + y ) + 3* y

The cost equation as function of x is:

C(x) = 2x + 36/x + 108/x

C(x) = 2x + 144/x

Taking derivatives on both sides of the equation

C´(x) = 2 - 144/x²

C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72

x = 8,49 ft y = 36/8.49 y = 4,24 ft

How can we be sure that value will give us a minimun

We get second derivative

C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴

so C´´(x) > 0

condition for a minimum

7 0

3 years ago

I need help finding CR, AB, and CAB

aleksandrvk [35]

Answer:CR= 53

AB = 118

CAB = 236

Step-by-step explanation: a whole is circle is equal to 360 degrees and when you see the two parts which dint have an angle, they look the same size. So I pluses 53 and 71 than subtracted from 360. Which then I divided it by two then you get the angle for A to B.

Hope this helped and hope this is the correct answer.

4 0

3 years ago

Solve the equation: 27 = 17 - 5y

Kitty [74]

Answer:

y = -2

Step-by-step explanation:

27 = 17 - 5y

27-17=17-5y-17

10=-5y

10/-5=-5y/-5

-2=y

6 0

3 years ago

Read 2 more answers

Abe real estate is developing 15 solar homes per states. If the cost of each home is estimated at 80,000 what’s the projected co

Soloha48 [4]

Answer:

the Total cost= 1,200,000*number of states

Step-by-step explanation:

Given the cost of each home is $80,000

The number of homes per state are 15

The Total cost of the project is = (Total number of houses per state) * (cost of each house) * (the number of states).

Therefore the total cost =15*80000*Number of states.=1,200,000*number of states

3 0

3 years ago

Bottles of sparkling water usually cost $1.69 each. This week they are in sale for 4 for $5. You bought one last week and one th

Phantasy [73]

Answer:

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

We pay $0.44 less this week.

Step-by-step explanation:

Given,

Cost of 1 sparkling bottle last week = $1.69

This week cost of 4 bottles is $5.

So we have to find the cost of 1 bottle.

For this we use the unitary method, we get the cost of 1 bottle;

Cost of 1 sparkling bottle this week = $\frac{5}{4}=\$1.25$

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

For finding how much we pay less this week, we have to subtract cost of 1 sparkling bottle this week from cost of 1 sparkling bottle last week.

Framing the above sentence in equation form, we get;

$Amount\ of\ money\ we\ pay\ less=1.69-1.25=\$0.44$

Hence we pay $0.44 less this week.

8 0

4 years ago