Hats, T-shirts, and jackets are sold at a rock concert. 3 hats, 2 shirts, and one jacket costs $140. Two hats, two shirts, and 2 jackets cost $170. One hat, 3 shirts, and 2 jackets cost $180. Create a system of 3 equations to model the situation. Assume the price of hats is x, shirts is y and jackets is z.

The solution is : 22 meters would be saved if it were possible to walk through the pond.

Here, we have,

There is a pond between two points A and B.

To avoid the pond, one must walk to the south from point A to point C (say) by 34 meters and then to the east from point C to point B by 41 meters.

Now, it is clear that Δ ABC is a right triangle with AB as the hypotenuse that is the minimum distance from A to B through the pond.

The two legs of the right triangle are AC and CB.

Applying Pythagoras Theorem,

AB² = AC² + CB²

      = 34² + 41²

      = 2837

⇒ AB = 53 meters (Rounded to the nearest meter)

Therefore, (34 + 41) - 53 = 22 meters will be saved if it were possible to walk through the pond.

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complete question:

To get from point A to point B you must avoid walking through a pond. To

avoid the pond, you must walk 34 meters south and 41 meters east. To the

nearest meter, how many meters would be saved if it were possible to walk

through the pond?

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.

When two or more equations are solved concurrently, they are described as a system of equations.

Another description of a system of equations is simultaneous equations.

                                       Oxford Fine    Espinoza

Unit cost per charm              $12                 $14

The cost of the bracelet      $40                $30

Let the number of charms = c

Equation 1: (Costs at Oxford Fine) 12c + 40

Equation 2: (Costs at Espinoza) 14c + 30

For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:

12c + 40 = 14c + 30

-2c = -10

c = 5

Check:

12c + 40

12(5) + 40 = $100

14c + 30

14(5) + 30 = $100

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Car B is losing value at a faster rate.

Depreciation in economics is a measure of the amount of value an asset loses from influential factors affecting its market value.

Given that, car A is depreciating at the rate of 5% per year, car B is depreciating at a rate of 0.4 per month.

Let us consider both have same initial price $4500

Depreciated price = initial price(1-rate)ⁿ

Car A =

Depreciated price = 4500(1-0.05)¹

= 4500(0.95) = 4275

Therefore, Car A will have $4275 after 1 year.

Car B =

Depreciated price = 4500(1-0.4)¹/₁₂

= 4500(0.95)

= 4275

Therefor, Car B will have $4275 after 1 month.

Since, the price of Car B is decreasing $4275 per month and Car A is decreasing $4275 per year,

Hence, the carB is losing value at a faster rate.

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Answer:

Division

Step-by-step explanation:

Remember pemdas

parenthesis

exponents

multiplication

division

addition

subtraction

In 4/2(3) you have both multiplication and division, so you have to do left to right.

Have a nice day!  :-)

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

Answer:

p = x(y)(z)

Step-by-step explanation:

product is multiplication.

multiplication has no specific order.

Answer:

Wdym number?

Improper Fraction: (17/10)

Whole Fraction: 1 (7/10)

Otherwise... I'm not sure what you mean numbers...?

Answer:

\(11098{cm}^{3} \)

Step-by-step explanation:

The formula to find the volume of a rectangular prism is

\(v = length \times \: width \times height\)

Since there are 2 shapes we are going to find the volume of each of them, then add them to find the volume of the entire shape.

The length of the rectangle that is standing is 62 cm, its width is 3 cm and its height is 13 cm. Therefore the volume is:

\(v = l \times w \times h \\ v = 62 \times 3 \times 13 = 2418 {cm}^{3} \)

On the other hand, the length of the rectangle that is lying down is 62 cm, its width is 20 cm (23-3=20), and the height is 7 cm. Therefore the volume is:

\(v = l \times w \times h \\ v = 62 \times 20 \times 7 = 8680 {cm}^{3} \)

The volume of the entire shape would then be:

\(2418 {cm}^{3} + 8680 {cm}^{3} = 11098 {cm}^{3} \)

Answer:

80

Step-by-step explanation:

add 3cm to 13cm x 7 cm then add it all up to 80

Answer:

1890ml<10litres

1.72m=172cm

Step-by-step explanation:

10 x 1000 = 10000 ml which is greater than 1890 ml.

1.72 x 100 = 172 cm

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ±  5.09

=-2.09, 8.09  is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Answer:

152 times 6=912

Step-by-step explanation:

$120 for every 20 students

it cost $6 for every 1 student

$6 times 152=912

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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The rate of the first athlete is greater than the rate of the second athlete.

To determine if the rate of the first athlete is greater than, less than, or equal to the rate of the second athlete, we need to compare their average speeds.

The average speed of an athlete is calculated by dividing the distance traveled by the time taken.

For the first athlete who runs 3 miles in 24 minutes, the average speed can be calculated as:

Speed1 = Distance1 / Time1 = 3 miles / 24 minutes = 1/8 miles per minute.

For the second athlete who runs 4 miles in 33 minutes, the average speed can be calculated as:

Speed2 = Distance2 / Time2 = 4 miles / 33 minutes.

To make a comparison, we need to convert both rates to a common unit. Let's convert both rates to miles per minute:

Speed2 =\((4 miles / 33 minutes) * (24 minutes / 24 minutes)\) = (96 miles / 792 minutes) ≈ 0.1212 miles per minute.

Comparing the two rates, we see that Speed1 (1/8 miles per minute) is greater than Speed2 (0.1212 miles per minute). The rate of the first athlete is greater than the rate of the second athlete.

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Answer:

Solution

\(x = - 3,\: y = -3\)

Step-by-step explanation:

If the objective is to solve for the system of equations
- 7x - 5y = 36    [1]

x = 2y + 3    [2]

Then the process is as follows

Answer:

G = - 6 . 75

Step-by-step explanation:

      10 . 8 / - 1. 6

          - 6 . 75

Answer:

30 degrees

Step-by-step explanation:

53+97=150

180-150=30

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.

Step-by-step explanation:

The given equation is:

-x + 3y = 11

To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.

Let's suppose we have another equation with x, for example:

2x + 5y = 7

We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:

-2x + 6y = 22 (multiply the first equation by -2)

2x + 5y = 7 (the second equation)

Now we can add the two equations to eliminate x:

-2x + 2x + 6y + 5y = 22 + 7

Simplifying the equation, we get:

11y = 29

Dividing both sides by 11, we get:

y = 29/11

Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:

-x + 3y = 11

Substituting y = 29/11, we get:

-x + 3(29/11) = 11

Simplifying the equation, we get:

-x + 87/11 = 11

Subtracting 87/11 from both sides, we get:

-x = 11 - 87/11

Multiplying both sides by -1, we get:

x = 87/11 - 11

Simplifying the equation, we get:

x = (87 - 121)/11

x = -34/11

Answer:

Option C

Step-by-step explanation:

\(7.2\div18\)

0. 4 0 0

1 8 /   7. 2 0 0

 − 0      

   7 2    

 − 7 2    

     0 0  

   −   0  

       0 0

     −   0

         0

= 0.4

Hope this helps.

Answer:

can i have a photo, please?

Step-by-step explanation:

Answer: You're answer is 3

or exactly 3.464.

\(\sqrt{100}\)Answer:

10

Step-by-step explanation:

You have to reverse the square root \(3\sqrt{12}\)

what perfect square makes 3? 9.

what is \(\sqrt{9} \sqrt{12}\)

\(\sqrt{108}\)

what is the perfect square between 108? 100 and 121.

what is the different between them?

108-100=8

121-108=13

obviously, 8 is closer than 13, so now find the square root of the closer perfect square.

\(\sqrt{100}\)=10

answer

\(fx = - 3x \\ \frac{fx}{x} = - \frac{3x}{x} \\ f = - 3\)

Answer:

learning only kang po yan

Step-by-step explanation:

basa lang