Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?

Answer:37.5 hrs

Step-by-step explanation:

15/4 = 3.75

3.75*10=37.5

The answer is 37.5 hours

Answer:

0.22

Step-by-step explanation:

So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.

We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.

We have to find the value of sin(D)

opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22

Answer:

Step-by-step explanation:

Answer:

48 pieces

Step-by-step explanation:

20÷5/12=20*12/5=240/5=48

Answer:

Melanie and 2 times ½ a mile

Hopes This helps

Answer:

Step-by-step explanation:

A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $2000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.2 million of capital on hand, how many houses of each type should she build for maximum profit?

? colonials

? ranches

For maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses. The maximum profit achievable is $740,000.

Let x be the number of colonial houses built.

Let y be the number of ranch-style houses built.

Now, we can set up the objective function, which represents the total profit:

Total Profit (P) = 3000x + 7000y

The total cost of the houses built cannot exceed the available capital, which is $3.8 million (or $3,800,000):

30,000x + 40,000y ≤ 3,800,000

The number of building lots used cannot exceed the total number of lots available, which is 100:

x + y ≤ 100

Also, we need to consider that the number of houses (x and y) must be non-negative:

x ≥ 0

y ≥ 0

Now, we have the linear programming model with the objective function and constraints.

We need to find the values of x and y that maximize the total profit (P).

Graph the feasible region determined by the constraints (x + y ≤ 100, x ≥ 0, y ≥ 0, 30,000x + 40,000y ≤ 3,800,000), and then evaluate the objective function (P = 3000x + 7000y) at each corner point of the feasible region to find the maximum profit.

The feasible region is a polygon with vertices at the following points:

(0, 0)

(0, 95) (Intersection of x = 0 and y = 95)

(80, 20) (Intersection of x = 80 and y = 20)

(100, 0) (Intersection of x = 100 and y = 0)

Now, evaluate the objective function (P) at each corner point:

(0, 0): P = 0

(0, 95): P = 665,000

(80, 20): P =  740,000

(100, 0): P = 300,000

The maximum profit of $740,000 occurs when the contractor builds 80 colonial houses and 20 ranch-style houses

Hence, for maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses.

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Answer:

Every positive integer can be written as the sum of three palindromes, numbers that remain the same when their digits are reverse. For example, 389 = 11 + 55 + 323. This holds not just for base 10 but for any base b ≥ 5.

Answer:

[tex]\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}[/tex]

Step-by-step explanation:

[tex]\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>[/tex]

Answer:

Step-by-step explanation:

-u-v = 6,-11

u-v = -10,-3

v-u = 10,3

Answer:

first one is f(x)=-5

second one is f(x)=7

third one is x=-3

4th one is x=0

5th one is f(x)=1

6th one is x=-4

Step-by-step explanation:

first one. plug in x as -2:

f(x)=2*-2-1=-4-1=-5

second one is the same way:

f(x)=4*2-1=8-1=7

third one is a different one:

2x-1=-7

2x=-6

x=-3

4th one is the same way:

2x-1=-1

2x=0

x=0

5th way is the same thing as previous:

f(x)=2*1-1=2-1=1

Finally, the 6th one is the same thing as the 4th one:

2x-1=-9

2x=-8

x=-4

Done!

Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

The equations are:

[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]

[tex]y = 4 - x \rightarrow x = 4 - y[/tex]

Equaling both equations for x, we have that:

[tex]16 - 4y = 4 - y[/tex]

[tex]3y = 12[/tex]

[tex]y = \frac{12}{3}[/tex]

[tex]y = 4[/tex]

[tex]x = 4 - y = 4 - y = 0[/tex]

Hence, the system has one solution, which is (0,4), and option d is correct.

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Answer:

I think its A ratio reduced, since a scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Answer:

It isn't either of the first two. My best guess would be the units of a ratio, (sorry if it's actually a ratio reduced). It's worded very weirdly

Answer: negative 2 arrow to the left

Step-by-step explanation:

The vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up

The absolute function is given as:

[tex]f(x) = 9|x + 1| + 2[/tex]

An absolute function is represented as:

[tex]f(x) = a|x - h| + k[/tex]

Where k represents the vertical shift.

By comparison, the value of k is:

[tex]k = 2[/tex]

This means that the vertical shift is 2 units

Hence, the vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up

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Answer:

Step-by-step explanation:

Ask Siri

The value of x from the equation is x = (5y - 6)/4

Given the equation 3x+5y−7x+6=12

collect the like terms;

3x-7x + 5y + 6=12

-4x + 5y = 12 - 6

-4x + 5y = 6

Subtract 6 from both sides

-4x + 5y - 5y = 6 - 5y

-4x = 6 - 5y

4x = 5y - 6

x = (5y - 6)/4

Hnce the value of x from the equation is x = (5y - 6)/4

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Explanation:

Recall that y = mx+b is the slope intercept form of any linear equation

The given equation has m = 4/5 as the slope. Flip the fraction to get 5/4 and then flip the sign to get -5/4

The original slope is 4/5 and the perpendicular slope is -5/4. Note how the slopes multiply to -1.

The slope for the answer is -5/4 and the y intercept for the answer is -8

Therefore, the perpendicular line is y = (-5/4)x - 8

Based on the information the number of people that will there after 20 years is: d.)  2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.)  2.97 million.

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Answer:

$1,094.93

Step-by-step explanation:

The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.

This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93

Answer:

A

Step-by-step explanation:

The answer is A because is it asking for a 3 in the hundredths place of the difference. Difference means subtraction. And you can find the hundredth spot in the second place over from the decimal

(ex. 1.23, hundredth place is a 3)

So then you do the math and find the differences.

14.56-9.33=5.23, which has a 3 in the hundredth place.

Answer:

$144

Step-by-step explanation:

Each ticket is $12.

Answer:

Y Intercept: 0, 2.5

X Intercept: 3.5, 0

Explanation:

An Intercept is where a line crosses an axis. A Y Intercept is for the Y axis and the X intercept is for the X axis.

Also when writing coordinates, the x coordinate comes before the y one.

Hope this helps :)

The balloon’s vertical distance above the ground is 556 feet

The set up will form a right triangle.

Given the following parameters

To get the height above the ground, we will use the SOH CAH TOA identity as shown;

Opposite = h

Adjacent = 1004 feet

Tan theta = h/1004

Tan 29 = h/1004

h = 1004 tan 29

h = 1004(0.5543)

h = 556.52 feet

Hence the balloon’s vertical distance above the ground is 556 feet

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Answer:

[tex]y=x+7[/tex]

Step-by-step explanation:

Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:

[tex]x+7=y \rightarrow y=x+7[/tex]

this makes no sense so maybe  try something better

Step-by-step explanation:

equate the two equations