What is the percent of change from 78 to 100 decreased

Answer:

15

Step-by-step explanation:

The grade percentage of Marco is 50%.

A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.

Given that, Marco got 15 questions wrong on his 30-question test.

We need to find his grade as a percent,

So,

Since he got 15 answers wrong,

Therefore, his correct answers = 30-15.

That mean his grade in marks = 15

Now, his grade in percent = 15/30 x 100 = 50%

Hence the grade percentage of Marco is 50%.

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Answer:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]

Required

Solve

Express [tex]x^2-4[/tex] as difference of two squares

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Factorize [tex]x^4 - 2x^3[/tex]

[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Cancel out x - 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]

Expand [tex]x^2 - 3x - 10[/tex]

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]

Factorize:

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]

Factor out x + 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]

Cancel out x - 5 and x + 2

[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]

[tex]\frac{1}{x^3}\cdot 1[/tex]

[tex]\frac{1}{x^3}[/tex]

Hence:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Answer:

3

Step-by-step explanation:

f(x)=5x-7

for f(2) just put 2 in place of x

so,

f(2)=5(2)-7

f(2)=10-7

f(2)=3

Answer:

9.3

Step-by-step explanation:

The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.

I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.

Sorry if I'm wrong.

Please mark me as Brainliest.

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].

For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].

The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.

[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]

The sine value of a point will be the [tex]y[/tex] value of the point.

[tex]\frac{\sqrt{3}}{2}[/tex]

So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]

Now we have to find the LCD to add these together, which in this case would be 6.

[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]

Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.

Hope this helps!

Answer:

I think the answer is 4800.

Step-by-step explanation:

Usually people would use 1/10 or anything like that, but here 3/7 was used. in order to find 10 percent you would divide by 10, correct, well I did the same with 7. (because you must find 1/7) The question was 3/7, so I multiplied 1400 by 3, and my answer was 4800. (sorry if this wasn't understandable, im the the best at explaining things)

Answer:

4) The error made was that you were supposed to multiply 5 and 2. The answer is supposed to be 43.

5) B) 18

6) 18

7) B) 20

8) B) 28

Step-by-step explanation:

4)

36 - 3 + 5 · 2

36 - 3 + 10

43

5)

3(7) - 3 = 18

6)

3(2) + 2(4) + 4 =

6 + 8 + 4 =

18

7)

24 ÷ 3 + 12 = 8 + 12 = 20

8)

5(6) - 2 = 30 - 2 = 28

Answer:

https://socratic.org/answers/327824 click on the link

Answer:

14

Step-by-step explanation:

Answer:

area = 153.94

circumfrence = 43.98

Step-by-step explanation:

A=πr2=π·72≈153.93804

C=2πr=2·π·7≈43.9823

Answer:

$59. 85  or rounding, $60   (I AM NOT COMPLETELY SURE)

Step-by-step explanation

I changed the percentage into a decimal (.05) and then multiplied it by the final price (57). After multiplying, I got, $2.85. I then added that to the final price to get, $59.85.

Answer: The slope is 0.

The slope is 0 because for something to have a slope, it either has to be going upward or downwards.

Answer:

0.63

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

If she spent 25%, then she saved 75%.

75% of $500 is 375. 500(0.75)

Answer:

solved

Step-by-step explanation:

4n-28 -2n -6 -15n

-13n-34

-(13n+34)

Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

3(x-6)=2x(x+3)

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

Answer:

4.5

Step-by-step explanation:

I hope this helps, sry don't have enoug h time to explain

Answer:

30 cm

Step-by-step explanation:

Answer:

125 units^3

Step-by-step explanation:

Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.

You then divide the sides by 2 because the question says the second cubes sides are half the size

5*5*5 = 125

The volume of the second cube is 125 units³.

In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.

We need to find the volume of the second cube,

So, let the side of the first cube be x,

We know that the volume of a cube = side³

Therefore,

x³ = 1000

x = ∛1000

x = 10 units

Therefore, the second cube will have a side of 10/2 = 5 units

Volume of second cube = 5³ = 125 units³.

Hence the volume of the second cube is 125 units³.

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Answer:

-5 and 3

Step-by-step explanation:

(-(-2) +/- √(4- (4(1)(-15))) ÷ 2

(2 +/- √64 )÷ 2

(-2+8) ÷ 2 = 3

(-2 -8) ÷ 2 = -5

Answer:

Were you looking for the x and y intercepts? The question is very misleading.

If you were the x intercepts are (4-√2,0), (4+√2,0)

And the y intercept is (0,−14)

If you did not mean this in your question please specify what you meant.

Answer:

[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Step-by-step explanation:

Plug in given values of a, b, and c into the quadratic formula and solve for x:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]

[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]

[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]

[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]

[tex]x=4±-\sqrt{2}[/tex]

Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

The volume of the rectangular prism is 4180in^3.

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".

For the given situation,

Length of the rectangular prism = 19 in

Width of the rectangular prism = 20 in

Height of the rectangular prism = 11 in

The formula for volume of the rectangular prism,

[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]

On substituting the values,

⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]

⇒[tex]V=4180[/tex]

Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].

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Answer: constant

Step-by-step explanation:

Hope this help!

Answer:

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]

In the graph a = 60 and b = 11

So

[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Answer:  The answer is -5

Step-by-step explanation:

4x - 3 = 6x + 7

    - 7           -7

4x - 10 = 6x

-4x        -4x

-10 = 2x

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

       2

-5 = x

Answer:

x = -5

Step-by-step explanation:

4x - 3 = 6x + 7

Add 3 to both sides to isolate the variable:

4x = 6x + 10

Subtract 6x from both sides to keep x on 1 side:

-2x = 10

Divide by -2 to have the base value of x:

x = -5

Answer:

??? what do you mean?

Step-by-step explanation:

Answer:

160 and 70

Step-by-step explanation:

Answer:

First box: 2

Second box: 54

Step-by-step explanation:

The ratio is 1:6.

In other words, the second column is the first column times 6.

2 x 6 = 12

3 x 6 = 12

5 x 6 = 30

9 x 6 = 54

Therefore, the first box would be 2.

The second box would be 54.

Step-by-step explanation:

ginger ale 2because everything is multiplied by 6

so 9 *6

Step-by-step explanation:

The answer is In the picture above