- True or False: When you multiply fractions, you need common denominators.
True
False

Answer:

[tex](a)\ t^2 - 20t + 75= 0[/tex]

[tex](b)[/tex] [tex]t = 5; t -=15[/tex]

Step-by-step explanation:

Given

[tex]p(t) = t^2 - 20t + 175[/tex]

Solving (a): Equation when profit = 100.

This implies that:

[tex]p(t) =100[/tex]

So, we have:

[tex]100 = t^2 - 20t + 175[/tex]

Rewrite as:

[tex]t^2 - 20t + 175 - 100 = 0[/tex]

[tex]t^2 - 20t + 75= 0[/tex]

Solving (b): Calculate t, in (a)

In a, we have:

[tex]t^2 - 20t + 75= 0[/tex]

Expand

[tex]t^2 - 15t -5t + 75= 0[/tex]

Factorize

[tex]t(t - 15) -5(t - 15)= 0[/tex]

Factor out t - 15

[tex](t - 5)(t - 15)= 0[/tex]

Split

[tex]t - 5 = 0; t - 15 =0[/tex]

Solve

[tex]t = 5; t -=15[/tex]

The prices are $5 and $15, respectively

For circle A, attribute used is right angle.

For circle B, attribute used is parallel lines.

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.

A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.

Circle A consists of triangles.

By observing clearly that in circle A there are two right angled triangles.

For circle A, attribute used is right angle.

Circle B consists of 1 square, 1 rectangle and 2 parallelogram.

We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.

For circle B, attribute used is parallel lines.

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Answer:

[tex](8)[/tex] → [tex]x-(8+2)[/tex]

[tex](9)[/tex] → [tex]x+(8-2)[/tex]

[tex](6)[/tex] → [tex]5-n[/tex]

[tex](5)[/tex] → [tex]8-x[/tex]

[tex](2)[/tex] → [tex]5-n[/tex]  

[tex](7)[/tex] → [tex]x+(5+7)[/tex]

[tex](4)[/tex] → [tex]x-8[/tex]

[tex](10)[/tex] → [tex]x+x[/tex]

[tex](1)[/tex] → [tex]n+5[/tex]

[tex](3)[/tex] → [tex]x+8[/tex]

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

hope it helps...

have a great day!!

Answer:

3rd choice

Step-by-step explanation:

i found it from online

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

Answer:

-8/9 and -9/10​ is greater

Step-by-step explanation:

Answer:

greatest is -8 / 9 and - 9 / 10

Step-by-step explanation:

-7/ 12 is greater than -9 / 13

-8 /9 and -9 / 10 are equal because

-8/9 = 0.888 if we round off it's 0.9

and - 9 / 10 is 0.9 so that's why they are equal to each other

Hope this answer helps you :)

Have a great day

Mark brainliest

answer:

a. √36

step-by-step explanation:

√36 = rational — the answer to this is 6 and it is a whole number

-√12 = -3.46410161514... — it is repeating without an order so irrational

5/0 = irrational — the denominator cannot be a 0

π = irrational — pi is always irrational

Answer:

arctan(4/3) ≈ 0.9272

Step-by-step explanation:

On comparing eqⁿ to y = mx + c,

Slope of 2x + 4y = 7 is -2/4 = - 1/2

Slope of x + 2y = 5 is - 1/2

Therefore, if A is the angle b/w them,

A = arctan | (m1 + m2)/(1 - m1m2) |

A = arctan | (-½ - ½)/(1 - ¼) |

A = arctan (4/3)

Step-by-step explanation:

your question is quite easy but the way you put it makes it complicated for me to understand. please can you rewrite it in a more easier way

Answer:

the answer is in the picture

Answer:

Step-by-step explanation:

The dot plot of the recorded data in the frequency table is given below.

A speck plot, otherwise called a strip plot or dab diagram, is a straightforward type of information perception that comprises information focuses plotted as spots on a chart with an x-pivot and y-pivot.

Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table.

Fish caught Frequency 0 2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data.

Hover over each number on the number line.

Then click and drag up to create the dots.

The graph is shown below.

More about the dot plot link is given below.

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Answer:

C.) Side-Angle-Side (SAS)

Step-by-step explanation:

Answer:

-x3

Step-by-step explanation:

its simple x = 1

Answer:

-3x

Step-by-step explanation:

Answer:

1.875kg

Step-by-step explanation:

48 - 1000g

90 - x

48x = 90000

x = 90000/48

  = 1875g = 1.875kg

Feel free to mark as brainliest :D

Answer:

sin x° = Opposite / Hypotenuse

x = 3.38

Step-by-step explanation:

sin 70° = x / 3.6

sin 70° × 3.6 = x

x = 0.93969262079 × 3.6

x = 3.38289343483 ~ 3.38

Answer:

The two number are 9 and 13

Step-by-step explanation:

9-4=5

9+4=13 and 13*13is 169

Answer:

[tex]y=8x+9[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope

[tex]y = 8x+7[/tex]

From the given equation, we can identify 8 to be in the place of m, making 8 the slope. Because parallel lines always have the same slopes, the line we're currently solving for will also have a slope of 8. Plug this into [tex]y=mx+b[/tex]:

[tex]y=8x+b[/tex]

2) Determine the y-intercept

[tex]y=8x+b[/tex]

The y-intercept occurs when x=0. The given point is (0,9), telling us the the y-intercept is 9. Plug this into [tex]y=8x+b[/tex]:

[tex]y=8x+9[/tex]

I hope this helps!

Step-by-step explanation:

the volume = 3.14×12²×20

= 9043.2 cm³

Answer:

Any picture ?

Step-by-step explanation:

Answer:

7.2 miles

Step-by-step explanation:

See comment for complete question.

Let:

[tex](x,y) \to Havertville[/tex]

Northtown will be represented as:

[tex](x+6,y+4)[/tex] --- i.e 6 units right and 4 units up

The distance both is calculated using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

This gives:

[tex]d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}[/tex]

Remove brackets

[tex]d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}[/tex]

Evaluate like terms

[tex]d = \sqrt{(-6)^2 + (-4)^2}[/tex]

[tex]d = \sqrt{36 + 16}[/tex]

[tex]d = \sqrt{52}[/tex]

[tex]d = 7.2\ units[/tex] -- approximated

From the question, we understand that:

[tex]1\ unit = \ mile[/tex]

So:

[tex]d = 7.2\ miles[/tex]

tan( 31 ) = x / 39

0.600860619 = x / 39

x = 0.600860619 × 39

x = 23.433564141

______________________________

Round to the nearest tenth :

x = 23.4

Round to the nearest hundredth :

x = 23.43

Answer:

sue = 12

lily = 10

heather = 5

Step-by-step explanation:

'l' = lily's age

'h' = heather's age

sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'

l = 2h

2h+2 + 2h + h = 27

5h = 25

h = 5

l = 2(5) = 10

sue is 10+ 2, or 12

Answer:

The ones selected are correct

Answer:

57.12 cm²

Step-by-step explanation:

The given dimensions of the hexagon are;

The side length of the hexagon, s = 5 cm

The distance across flats = 8 cm

The distance across corners = 9.28 cm

The area of a regular hexagon, 'A', is given as follows;

[tex]A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h[/tex]

Where;

a = The side length of the hexagon

P = The perimeter of the hexagon

h = The height of one of the triangles in the hexagon

However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle

A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²

A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂

The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂

∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²

2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²

The area of the hexagon, A = 57.12 cm²

Answer:

Step-by-step explanation:

Find the last term of the sequence.

a1 = 8

d = -7

n = 30

a30 = 8 + (n - 1)*(-7)

a30 = 8 + (30 - 1)*-7

a30 = 8 + 29*-7

a30 = 8 - 203

a30 = -195

Sum = (a + L)*n/2

Sum = (8 + -195) * 30/2

Sum = - 187  * 15

Sum = - 2805

Answer:

12.22

Step-by-step explanation:

Use arc length formula in degrees

(70/360) x 2 x pi x 10

The whole recipe requires 1/2 cup of blueberries and 2/5 cup of strawberries.

To find the amounts required for the whole recipe, we can multiply the amounts required for 1/4 of the recipe by 4:

For blueberries:

1/4 x 4 x 1/2 = 1/2 cups

So, the whole recipe requires 1/2 cup of blueberries.

For strawberries:

1/4 x 4 x 2/5 = 8/20 = 2/5 cups

So, the whole recipe requires 2/5 cups of strawberries.

Therefore, the whole recipe requires 1/2 cup of blueberries and 2/5 cups of strawberries.

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Answer:

y= –3x+11

Step-by-step explanation:

hope it helps...