MAKE EXAMPLES WHERE YOU USE THE DISCOUNT AND THE INCREASE OF PERCENTAGES

Answer:

Step-by-step explanation:

-0.25z= -1.25

Convert the decimals to improper fractions

That's

So we have

Multiply through by 4

We have

- z = - 5

Divide both sides by - 1

the final answer is

Hope this helps you

Answer:

Step-by-step explanation:

[tex] \mathsf{ - 0.25z = - 1.25}[/tex]

Divide both sides of the equation by -0.25

[tex] \mathsf{ \frac{ - 0.25z}{ - 0.25} = \frac{ - 1.25}{ - 0.25} }[/tex]

Calculate

[tex] \mathsf{z = 5}[/tex]

Hope I helped !

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Answer:

5/14 = 0.36

7/10 = 0.7

5/6 = 0.83

11/15 = 0.73

19/21 = 0.9

(round to the tenth)

so the answer is;

5/14, 7/10, 11/15, 5/6, 19/21

Step-by-step explanation:

Hope it helps!

Answer:

is -5,-3

Step-by-step explanation:

set up the tablet and done

Answer:

2.)4n>(n/2)^2

3. (The problem isn't clear)

4.)n^2+2n-3=129

5.)n-5=171

Step-by-step explanation:

2.)

4n(four times the number) >(larger than) (n/2)^2 (half the number squared)

4.)

Sum=addition

n^2 (number squared) +2n (twice the number)-3=129

5.)

N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)

Answer:

area of cube = a^2  ( a is side)

2.4^2 = 5.76 cm^2

Answer:

5.76 cm^2

Step-by-step explanation:

Hey there!

Well if the side length is 2.4 cm then the area would be,

A = l•l

A = 2.4 • 2.4

A = 5.76cm^2

Hope this helps :)

Answer:

4050 cubic feet

Step-by-step explanation:

We would break this figure down into the square pyramid on the top and the cube on the bottom.

Volume of the cube:

l*w*h

= 15*15*15

= 3375.

Volume of the square pyramid:

a^2*(h/3)

= 15^2*(9/3)

= 225*3

= 675

Now we add the two to get the final answer:

3375+675=4050

The figure is 4050 cubic feet.

I hope this helped! :D

Answer:

Step-by-step explanation:

Cube:

Volume = length x width x height

V = 15 * 15 * 15

(Simplified version): 15³

V = 3,375ft³

Triangle:

Volume = 1/2 * base * height * length

V = 1/2 * 15 * 9 * 15

V = 1,012ft³

Add them both up to get our answer

3,375ft³ + 1,102ft³

4,477ft³

Therefore the volume of the figure is 4,477ft³

Answer:

a) a= 60

c) a= 135

d) a= 40

f) a= 115

g) a= 37

i) a= 130

Step-by-step explanation:

If you see a little square at the angle, this means that the angle is a right angle, which means that it is 90°.

Let's look at Q5a.

a) a° +30°= 90°

a°= 90° -30°

a°= 60°

a=60

Questions 5b has the same concept.

The sum of the angles on a straight line is 180°. The abbreviation used for this is (adj. ∠s on a str. line).

Let's look at Q5c.

c) a° +45°= 180° (adj. ∠s on a str. line)

a°= 180° -45°

a°= 135°

a= 135

Question 5d uses the same concept too.

Let's look at Q5d.

d) 90° +50° +a°= 180° (adj. ∠s on a str. line)

a°= 180° -90° -50°

a°= 40°

a= 40

Vertically opposite angles are equal. The abbreviation written for this is (vert. opp. ∠s).

Use this for questions 5f and 5g.

f) a°= 115° (vert. opp. ∠s)

a= 115

g) a°= 37°

a= 37

The sum of angles on a point is 360°. This will help you solve questions 5h and 5i.

i) 140° +90° +a° = 360° (∠s at a point)

a° +230°= 360°

a°= 360° -230°

a°= 130°

a= 130

Answer 8

8+8²=72

8+64=72

72=72

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Answer:

2x²-32 ⇒ x²=16⇒ (-4,4)

4x²-100 ⇒x²=25 ⇒(-5,5)

x²-55=9 ⇒x²=64 ⇒(-8,8)

x²-140=-19 ⇒x²=121 ⇒(-11,11)

2x²-18=0 ⇒x²=9 ⇒(-3,3)

Answer:

Step-by-step explanation: Further explanation

[tex]2x^2-32=0\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\\\2x^2-32+32=0+32\\\\2x^2=32\\\\\frac{2x^2}{2}=\frac{32}{2}\\\\\mathrm{For\:}x^2=f\left(a\right)\\\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{16},\:x=-\sqrt{16}\\\\x=\sqrt{16},\:x=-\sqrt{16}\\x=4,\:x=-4[/tex]

[tex]4x^2-100=0\\\mathrm{Add\:}100\mathrm{\:to\:both\:sides}\\4x^2-100+100=0+100\\4x^2=100\\\frac{4x^2}{4}=\frac{100}{4}\\x^2=25\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{25},\:x=-\sqrt{25}\\\\x=5,\:x=-5[/tex]

[tex]x^2-140=-19\\x^2-140+140=-19+140\\x^2=121\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{121},\:x=-\sqrt{121}\\x=11,\:x=-11[/tex]

[tex]x^2-55=9\\x^2-55+55=9+55\\x^2=64\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{64},\:x=-\sqrt{64}\\x=8,\:x=-8\\[/tex]

[tex]2x^2-18=0\\2x^2-18+18=0+18\\2x^2=18\\\frac{2x^2}{2}=\frac{18}{2}\\x^2=9\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{9},\:x=-\sqrt{9}\\x=3,\:x=-3[/tex]

Answer: C. 8

At 10:15 a.m., there are 8 cells in the bottle.

Step-by-step explanation:

Answer:

At 10.15 there will be 8 cells

Step-by-step explanation:

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

hope this help you

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

Answer:

6450g

Step-by-step explanation:

1kg = 1000g

6.45kg = 6450

The watermelon weighs 6450 grams.

Given that a watermelon weighs 6.45 kilograms.

We need to convert its unit into grams.

To convert kilograms to grams, you need to multiply the weight in kilograms by 1000, as there are 1000 grams in 1 kilogram.

The watermelon weighs 6.45 kilograms, you can use the following formula to convert it to grams:

Weight in grams = Weight in kilograms × 1000

Let's do the math:

Weight in grams = 6.45 kilograms × 1000 = 6450 grams

So, the watermelon weighs 6450 grams.

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Answer:

The first Answer:

Step-by-step explanation:

The x-values are not the same on one line:

Image

The line connecting isn't perfect but see what I mean?

9514 1404 393

Answer:

  (a)  42.3°

Step-by-step explanation:

Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050

  A = arccos(777/1050) ≈ 42.3°

The measure of angle A is about 42.3°.

_____

Additional comment

The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.

Answer:

 (a)  42.3°

Step-by-step explanation:

Answer:

5x=2x+2

3x=2

X=2/3

Hope this helps ФωФ

Answer:

a. 5×=8+2

5×=10

b. 4×-2×=9+3

2×=13

c. 6×-2×=8-3

4×=5

The answer is

i) - c

ii) - b

iii) - b

iv) - a

v) -  d

Answer:

the triangles are congruent by SSS criterion

Step-by-step explanation:

Answer:

X=48degrees.

Step-by-step explanation:

Sum of all angle of traingle=180degrees.

So, 90+42+X=180

132+X=180

X=180-132=48degrees

Answer:

C

Step-by-step explanation:

cot =cos/sin =a/b

cos=a/b*sin

(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)

=(1-a/b)/(a+a/b)

=(b-a)/(a+b)

Answer:

yes, his batting average will increase bcz average of a batsmen is the sum of total hits per ball.

Answer:

The Empty set............

Answer:

There is no solution for the intersection of these two sets, as they do not intersect! They don't have any numbers in common and thus form an empty set. The correct answer choice is option D. the empty set.

Step-by-step explanation:

The solution for { x | x <-5} is ---> x < -5

The solution for { x | x >5 } is ---> x > 5

If you placed the two sets on a number line close to each other, you would see that they do not intersect. Thus there is no solution for the intersection of set A and set B as defined in the given problem.

See the graph for better understanding. You see how there's an empty space or area between -5 and 5? Yeah, this is called the empty set which is option D from your answer choices.

Answer:

Hey there!

Volume of a rectangular prism: length (width) (height).

Volume: 1.08 (5.25) (3.3), or 18.71100.

However, because 3.3 is only two significant figures, we round our answer to: 19.

Hope this helps :)

Answer:

18.7 ft^3

Step-by-step explanation:

The volume is the product of the dimensions of the cube:

V = L*W*H, where L and W represent the length and width respectively.

Here,

V = (1.08 ft)(5.25 ft)(3.3 ft) = 18.7 ft^3, which is to 1 decimal place, because the least accurate dimension is also to 1 decimal place.

Answer:

Step-by-step explanation:

a=3400t+600, we put in 21,000 for a. Because we have to find 't' when 'a' is 21,000.

which will give us  21,000 = 3400t+600.

Then,Subtract 600 to both sides to get 20,400 = 3400t

Divide both sides by 3,400 and you get 6 = t.

The ans is 6 minutes. The plane will take 6 min to reach the altitude 21,000 feet

Answer:

B

Step-by-step explanation:

The association property of multiplication states that if we have three numbers such as:

[tex]a\cdot b\cdot c[/tex]

Then the order of parentheses will not matter. In other words:

[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]

For instance:

[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]

For the choices, it must have at least three terms. Thus, eliminate A.

It must also have parentheses. Eliminate D.

Choice C represents the distributive property, where you distribute a factor into the expression.

Thus, the correct answer is choice B.

And as previously mentioned, the order of the parentheses does not make the product any different.

[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]

Answer:

The correct answer choice is B.

Step-by-step explanation:

The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!

B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.

C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.

Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.

Let me know if you need more elaboration!

Answer:

  37.5 mi/h

Step-by-step explanation:

  time = distance / speed

On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.

On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.

__

  speed = distance / time

The average speed for the whole trip was ...

  speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h

His average rate of speed was 37.5 miles per hour.

Answer:

(L ⋅ W)(x) = 28x3 − 16x2 + 8x

Step-by-step explanation:

I took the test hope it helps :3

The area of the rectangle is (L · W) (x) = 28x³ - 16x² + 8x. Thus, the correct option is C.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given the length of the rectangle is L(x)=4x, and the width is W(x)=7x²-4x+2. Therefore, the area of the rectangle in terms of x is,

L(x)×W(x) = 4x × (7x²-4x+2)

(L · W) (x) = 28x³ - 16x² + 8x

Hence, the area of the rectangle is (L · W) (x) = 28x³ - 16x² + 8x. Thus, the correct option is C.

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Answer:

x = 33

Step 1:

First, let's add the values together from both parentheses.

2x + x = 3x

1 + (-10) = -9

Now we are left with:

3x - 9 = 90.

Step 2:

Add 9 on the left side to cancel out the 9. Add it to the right side.

3x = 99

Finally, divide both sides by 3 to get our answer.

3x / 3 = x

99 / 3 = 33

x = 33