A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick.

Let y represent the ice sheet's thickness (in meters) after x weeks.

Complete the equation for the relationship between the thickness and number of weeks.

y=__________

Answer:

B. 8X - 17 = 5x +19

Step-by-step explanation:

These are congruent so we set them equal to each other

Answer:

2.5

Step-by-step explanation:

12 -> 6
so the triangle on the left is dilated 2x the triangle on the right

5 -> 2.5

Answer:

The answer is

Step-by-step explanation:

principal = 100× I/R×T

=100×350/7/2×3

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Expand the brackets by multiplying each term in the bracket by the expression outside the bracket:

    [tex]3(4x-5)-4x+1=-6[/tex]

⇒  [tex]12x-15-4x+1=-6[/tex]

Gather like terms and combine:

⇒  [tex]12x-4x+1-15=-6[/tex]

⇒  [tex]8x-14=-6[/tex]

Add 14 to each side of the equation:

⇒  [tex]8x-14+14=-6+14[/tex]

⇒  [tex]8x=8[/tex]

Divide both sides by 8:

 ⇒  [tex]8x \div8=8\div8[/tex]

⇒  [tex]x=1[/tex]

Given that : 3(4x-5)-4x+1 = -6

⇒ 12x-15-4x+1 = -6

⇒ (12x-4x)+(1-15) = -6

⇒ 8x+ −14 = −6

⇒ 8x = -6+14

⇒ 8x = 8

⇒ x = 8÷8

⇒ x = 1

So, value of x is 1

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The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

[tex]x = \frac{3300}{150}=22[/tex]

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

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Answer:

The given angle is obtuse angle.

Answer:

This is an obtuse angle...

Answer:

A

Step-by-step explanation:

If you solve it, for A you get -5x-10=-5x-10 which means all real numbers or infinite solutions

Answer:

1.125 0r 2.25

Step-by-step explanation:

the first is liquid and the second is cups

Answer:

b

Step-by-step explanation:

Answer:

3,3  6,3 3,9 6,9

Step-by-step explanation:

follow the dot to the number

Answer: Make a horizontal or vertical line close to the rectangle. after you do that make a reflection. Just graph that out and that should be the answer.

Step-by-step explanation: Hope this helps

Answer:

A. 502

Step-by-step explanation:

First, start by dividing all of the answer choices by 10.

502/10=50.2

220/10=22

150/10=15

60/10=6

Looking at the above quotients, there is only one that is not like the others, and that is 50.2.

So, your answer is A. 502

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Answer:

502

Step-by-step explanation:

because you divide them and then you got the anser.

Answer:

x =6

Step-by-step explanation:

angles opposite of each other in a parallelogram are congruent

∠C and ∠A are opposite from each other and it appears that they are in a parallelogram so we can assume that ∠C = ∠A

∠A = 13x - 25 and ∠C = 9x - 1

Hence 13x - 25 = 9x - 1

13x - 25 = 9x - 1

add 25 to both sides

13x = 9x + 24

subtract 9x from both sides

4x = 24

divide both sides by 4

x = 6

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Given to us

A + [11   17   -8    13] = [0   0   0   0]

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11   17   -8    13] = [0   0   0   0]

A = [0   0   0   0] - [11   17   -8    13]

A = [-11   -17   +8    -13]

Thus, the matrix is equal to [-11   -17   +8    -13].

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11   17   -8    13] is been added to it.

Thus, the sum of the two matrices has no solution.

Learn more about Matrices:

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The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Answer:

A

Step-by-step explanation:

since 3 + 12 is 15

Answer:

Product of 11 and 3

Step-by-step explanation:

11 times 3 = 33.
11 is a factor of this and the other factor that is needed, is 3. The result is 33, which fits.

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Answer:

44 + 47

= (41 + 3) + 47

= 41 + (3 + 47)

= 41 + 50

= 91

Step-by-step explanation:

So, essentially what is happening is you are making the 47 a 50 so it is easier to add.

Answer:

the answer is d

Step-by-step explanation:

you are working with negatives so if you multiply negatives you switch the symbol around

simple interest = principal × rate × time in years

= 3450 × (2/100) × ( 1.25)

= 3450 × 0.02 × 1.25

= 86.25

If Delyth borrowed £3450 for a year and three months at a simple interest rate of 2% per year, she would be responsible for paying interest of £86.25.

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

First, we must determine how much interest Delyth would pay if she borrowed £3450 for a year and three months at a simple interest rate of 2% per year.

Since interest is charged annually, we may begin by figuring out the yearly interest rate. The interest rate yearly would be:

2% per year = 0.02 per year

Next, we can calculate the interest owed for 1 year and 3 months. Since there are 12 months in a year, 1 year and 3 months would be 15 months. Therefore, the interest owed would be:

Interest = Principal x Rate x Time

Interest = £3450 x 0.02 x (15/12)

Interest = £86.25

So, Delyth would owe £86.25 in interest for borrowing £3450 at a simple interest rate of 2% per year for 1 year and 3 months.

Learn more bout simple interests here:

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Answer:

each avocado cost = $2.09

Step-by-step explanation:

He spent : $46 - $27.19 = $18.81

so lets the cost of each be x

9 * x   = $18.81

x = $18.81 / 9

x = $2.09

Answer:

[tex]\frac{95}{8}[/tex] or [tex]11\frac{7}{8}[/tex] or 11.875 pints of ice cream.

Step-by-step explanation:

1 guest will be served 5/8

19 guests will be served (5/8) * 19 = 95/8 pints of ice cream.

Answer:

the answer to this is 1/2(5+b)

Answer:

The GCF of 8 and 36 is 4.

The GCF of 72 and 18 is 18.

The GCF of 14, 28, and 49 is 7.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

its 20 because 2 times 6 is 12. 12 plus 8 equals 20

Answer:

4

Step-by-step explanation:

there are three co efficient and three variables

Answer:

3.141

Step-by-step explanation:

To find a decimal between 3.14 and 3.15, we have to look at the ten-thousandths place. 3.14 becomes 3.140 and 3.15 becomes 3.150. The 3.1 at the front is the same, so we keep it. Look at the 40 and 50. Name a number between those two. For example, 41. Put that number behind the 3.1 to get the final answer. In my example, the answer was 3.141.

I hope this helped and please mark me as brainliest!

Answer:

Step-by-step explanation:

a) Pythagorean theorem,

altitude² + base² = hypotenuse²

h²  + (w² - 1)² = (w² + 1)²

                    h² = (w² + 1)² - (w² - 1)²    

{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}

                   h² = 4*w²*1

                   h² = 4w²

                   [tex]h=\sqrt{4w^{2}} = \sqrt{2*2*w*w} \\\\\\h = 2w[/tex]

b) Area of triangle = [tex]\frac{1}{2}b*h[/tex]

                               [tex]=\dfrac{1}{2}*(w^{2}-1) *2w\\\\= (w^{2}-1)*w = w^{2}*w - 1*w\\\\=w^{3}-w[/tex]

c) w =2

Area of triangle = 3w = 3*2 = 6

The sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].

Given

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials.

Write each polynomial below their like term and then combine it.

First expression: [tex]\rm 2mn+4n^2[/tex]

Second Expression: [tex]\rm 5m^2-7mn[/tex]

Now, we will add vertically. If the variable part of the term is the same then it would be like a term.

By using the vertical format the addition is;

[tex]\rm 2mn+4n^2+0m^2[/tex]

[tex]\rm 5m^2-7mn+0n^2[/tex]

Now, combine their coefficient and write the variable as same.

[tex]\rm -5mn+4n^2+5m^2[/tex]

We can rearrange the term according to options.

[tex]\rm 5m^2+4n^2-5mn[/tex]

Hence, the sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].

To know more about Vertical format click the link given below.

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