The height of the rectangular prism measures 64 cm. If the height is increased by 1.5​ cm, by how much will the surface area of the box​ increase?

Answer:

6

Step-by-step explanation:

2(6-4)+3=7

2(2)+3=7

4+3=7

7=7

Answer:

The answer is 6.

Step-by-step explanation:

2(x-4)+3=7.

1. Multiply the 2 by each number/variable inside of the parenthesis.

2x-8+3=7

2. Combine like terms

2x-5=7

3. Take the 5 from the left side and add it to 7 on the right side

2x-5=7

   +5 +5

2x = 12

4. Divide both sides by 2

2x/2= X and 12/2 = 6

5. The 2 cancels out, leaving you with x, and 12 divided by 2 is 6.

X = 6

Answer:

1/64

Step-by-step explanation:

Answer:

8,12

Step-by-step explanation:

Answer:

0,7. 0,7. should be the right answer from what ive looked at

Answer:

23 and 31 are the numbers you are searching for.

Step-by-step explanation:

23 + 31 = 54

31 - 23 = 8

Have a nice day!

Answer: 18 cups

Step-by-step explanation:

Answer:

the answer is 18 cups :))

Answer:

24

Step-by-step explanation:

Answer:

20 feet

Step-by-step explanation:

20 feet

because the diagram said so....

Answer:

b76vtvtc4c4c5ctvtvtctvtvtv

Answer:211

Step-by-step explanation:you figure out you height by division and add that 120+75+16 and that’s 211 we learning that in school

Answer:

P = 2/3 = 0.67

Step-by-step explanation:

Assuming that X1 + X2 = 7

The total number of outcomes such that X1 + X2 = 7 are:

X1 = 3, X2 = 4

X1 = 4, X2 = 3

X1 = 1, X2 = 6

X1 = 6, X2 = 1

X1 = 2, X2 = 5

X1 = 5, X2 = 2

So there are 6 total outcomes such that X1 + X2 = 7

Now, the probability that X1 = 4 is equal to the quotient between the number of outcomes where X1 = 4 (only one outcome) and the total number of outcomes (6)

Then:

p = 1/6

And the probability that X2 = 4 is calculated in the same way, then the probability is:

q = 1/6

Now, the probability that X1 = 4 or X2 = 4 is the sum of both probabilities we've found above, then:

P = p + q = 1/6 + 1/6 = 2/6 = 2/3 = 0.67

Answer:

$99

Step-by-step explanation:

So the initial price of the tablet was $100. It was marked up by 10% and then marked down by 10%. We are asked to find the final price.

To find the final price, lets first find the price after the tablet price was marked up by 10%. This means that the tablet price increased by 10%. To find the price, we can add 10% of the new original price (or 10% times $100) original price ($100):

$100 + ($100 × 0.1) = $100 + $10 = $110

We could have also multiplied $100 by 1.1 (or 1 + 10%) to find the new price.

So now we know that the new price after the tablet is marked up by 10% is $110. Now, to find the final price, we have to find the price after the new price is marked down by 10%. We can do this by taking the new price ($110) and subtracting 10% of the new price (or 10% times $110):

$110 - ($110 × 0.1) = $110 - $11 = $99

So the final price of the tablet would be $99.

I hope you find my answer to be helpful. Happy studying.

Answer:

(x,y)=(5,-1)

Step-by-step explanation:

1. 2x+y=9  ---> y=9-2x

2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.

3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1

Answer:

So we are told they are congruent: Hence

Answer and Step-by-step explanation:

Due to the transversal line from point D to point B, angle ABC and angle CDE are congruent. To find x, we set them equal to each other.

61 = 2x

Divide each side by 2.

30.5 = x

#teamtrees #PAW (Plant And Water)

Yes

Both of them reduced is 0.2857

Answer:

1.17126x 10*2

Step-by-step explanation:

Given:

Carol has 88cm of string and cuts it in the ratio 5 : 6.

To find:

How much longer is the longest piece compared to the shortest piece.

Solution:

Let the lengths of two pieces of string are 5x and 6x. Then,

[tex]5x+6x=88[/tex]

[tex]11x=88[/tex]

[tex]x=\dfrac{88}{11}[/tex]

[tex]x=8[/tex]

Now, the lengths of pieces are:

[tex]5x=5(8)[/tex]

[tex]5x=40[/tex]

And,

[tex]6x=6(8)[/tex]

[tex]6x=48[/tex]

The difference between the longer piece and shorter piece is:

[tex]48-40=8[/tex]

Therefore, the longer piece is 8 m longer than the shorter piece.

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

3x + y = 8 → (1)

7x - 4y = 25 → (2)

Multiplying (1) by 4 and adding to (2) will eliminate the y- term

12x + 4y = 32 → (3)

Add (2) and (3)  term by term to eliminate y

19x + 0 = 57

19x = 57 ( divide both sides by 19 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) + y = 8

9 + y = 8 ( subtract 9 from both sides )

y = - 1

solution is (3, - 1 )

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or a+b+c+d+e+f+g+h+i = 72 if we multiply both

               9                      sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

----------------------------------------------

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

 72 + 2x + 1

------------------- = 9 (as the new average is 9)

         11

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or  2x = 26.

Then x must be 13, and x + 1 must be 14.

Answer:

5x² - 10x + 4  

Step-by-step explanation:

11x² - 10x + 4 = 6x²

Subtract 6x² from both sides of the equation.  

5x² - 10x + 4  

Answer:

the sum of all exterior angles equal 360

Step-by-step explanation:

Summed, the exterior angles equal 360 degrees. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.

Given:

The degree of the polynomial = 3

Leading coefficient = 1

Zeros of the polynomial are 5 and 4i.

To find:

The expanded form of the polynomial.

Solution:

According to the complex conjugate root theorem, if a+ib is a zero of a polynomial, then a-ib is also a zero of that polynomial.

Here, zeros of the polynomial are 5 and 4i. It means the third zero of the polynomial is -4i. So, the factors of the polynomial are [tex](x-5),(x-4i),(x+4i)[/tex].

The required polynomial is the product of its all factor and a constant which is equal to the leading coefficient. Here, the constant is 1. So, the required polynomial is

[tex]P(x)=1(x-5)(x-4i)(x+4i)[/tex]

[tex]P(x)=(x-5)(x^2-(4i)^2)[/tex]

[tex]P(x)=(x-5)(x^2+16)[/tex]             [tex][\because i^2=-1][/tex]

[tex]P(x)=(x-5)(x^2+16)[/tex]

On further simplification, we get

[tex]P(x)=x^3+16x-5x^2-80[/tex]

[tex]P(x)=x^3-5x^2+16x-80[/tex]

Therefore, the required polynomial P is [tex]P(x)=x^3-5x^2+16x-80[/tex].

Answer:

180 feet

Step-by-step explanation:

85+95=180 because depth + depth.

The total deep 180 feet from the surface was the coral.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.

The total deep from the surface was the coral.

Therefore, it could be;

depth + depth.

85 + 95 = 180

Hence, the total deep 180 feet from the surface was the coral.

Learn more about the unitary method, please visit the link given below;

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Answer:

1.82

Step-by-step explanation:

If you add all the ounces together and divide by 25, you get 1.82. Hope this helps :D

Answer:

1.82

Step-by-step explanation:

Answer:

seg tu is parallel to seg qp

seg ts is parallel to pr

seg us is parallel to qr

Step-by-step explanation:

hope this helped :)

The number in the parentheses is the rate of change. Because this number is less than 1 it is a decrease, so it is a decay.

The percent decrease is 1 - 0.63 = 0.37 = 37% decrease

Answer:

f(1) = 1

f(1) = -2

f(1) = -8

Step-by-step explanation:

see where there is/are points on the graph where the y-value equals one

(1, 1)

(-2, 1)

(-8, 1)

Answer:

461.88 feet

We are given the opposite and adjacent of 30.

Tan (30) = opposite / adjacent

Tan (30) = x / 800

X = 800 x Tan(30)

X = 461.88

- Use a calculator to calculate "Tan(30)".

- The exact answer is 461.880215

The height of the building will be equal to 461.88 feet.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

We are given the opposite and adjacent of 30.

Tan (30) = opposite / adjacent

Tan (30) = x / 800

X = 800 x Tan(30)

X = 461.88

Therefore the height of the building will be equal to 461.88 feet.

To know more about Trigonometry follow

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