A woman's age is thirteen more than half of 60.How old is she?

Step-by-step explanation:

[tex] \frac{135}{100} \times \frac{280}{1} = 378[/tex]

Answer:

The last one!

Step-by-step explanation:

Answer:

Rs 440

Step-by-step explanation:

Price of bicycle = 3520

Price of mobile = 4690

Cost Price of both mobile and bicycle = 3520 + 4690

=> 8210

Selling price of both mobile and bicycle = 8650

Profit = selling price - cost price

= 8650 - 8210

= 440

Therefore he gained Rs 440

Step-by-step explanation:

Answer:

[tex] { \tt{d = (r + c)t}}[/tex]

Divide ( r+c ) on both sides:

[tex]{ \tt{t = { \frac{d}{(r + c)} }}}[/tex]

Answer:

d / ( r + c) = t

Step-by-step explanation:

d = ( r + c ) t

Divide each side by ( r + c)

d / (r + c ) = ( r + c ) t / ( r + c)

d / ( r + c) = t

Answer:

3.75cm 44.16cm²

20cm 314cm²

42cm 1384.74cm²

Step-by-step explanation:

Area of a circle = πr²

Where : = π = pi = 3.14

R = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

16. Radius = 7.5 / 2 = 3.75

Area = 3.14 x 3.75² = 44.16

17. Diameter = 10 x 2 = 20

Area = 10² x 3.14 = 314

18. Diameter = 21 x 2 = 42

Area = 21² x 3.14 = 1384.74

Answer:c

Step-by-step explanation:

The equivalent expression is 1 + In 2 - In x.

Given:

[tex]$\ln \left(\frac{2 e}{x}\right)$[/tex]

Apply log rule:

[tex]$$\log _{C}\left(\frac{a}{b}\right)=\log _{c}(a)-\log _{c}(b)$[/tex]

[tex]$&\ln \left(\frac{2 e}{x}\right)=\ln (2 e)-\ln (x) \\[/tex]

= ln (2e) - ln (x)

Apply log rule:

[tex]$\log _{c}(a b)=\log _{c}(a)+\log _{c}(b)$[/tex]

ln (2e) = ln (2) + ln (e)

= ln (2) + ln (e) - ln (x)

Apply log rule:

[tex]$\log _{a}(a)=1$[/tex]

= ln (2)+1-ln (x)

Therefore, the correct answer is option C. 1 + In 2 - In x.

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Answer:

The contrapositive of the statement is true.

Step-by-step explanation:

For a general statement:

p ⇒ q

The contrapositive statement is:

¬q ⇒ ¬p

where:

¬q is the negation of the proposition q.

Here we have the statement:

If two angles are not complements, then their measures do not add up to 180°

So we have:

p = two angles are not complements

q = their measures do not add up to 180°

Then the negations are:

¬p = two angles are complements

¬q = their measures do add up to 180°

The contrapositive statement is:

"if for two angles their measures do add up to 180°, then the two angles are complements"

This is true, if for two angles the sum of their measures is equal to 180°, then these angles are complementary.

Then: The contrapositive of the statement is true.

11%

Hope this helps! :)

______________

Answer:

[tex] \frac{195.80}{220} \times 100 \% \\ = 0.89\%[/tex]

Answers:

===========================================================

Explanation:

We're given these three clues

Clue 3 is what we'll start with. Since Mrs. Gray is a doctor, this means that the doctor owns either a white horse or a brown horse. The doctor can't own a gray horse because the names can't match up (eg: the last name Gray with gray horse), due to clue 1.

If Mrs. Gray owned a brown horse, then she'd be a teacher (clue 2). But clue 3 says she's a doctor. We have a contradiction if Mrs. Gray owns the brown horse. Therefore, Mrs. Gray owns the white horse.

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

After we concluded the last section, we now know the following:

In short, we've just crossed "Mrs. Gray", "doctor", and "white horse" from the list.

Based on clue 1, we know that Mrs. Brown cannot possibly own the brown horse. Therefore, she must own the gray horse. So Mrs. White must own the brown horse.

Since Mrs. White owns the brown horse, she must be the teacher (clue 2). That leaves "lawyer" as the last profession, and that's assigned to Mrs. Brown.

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

Side note: I apologize for being a bit wordy, but I wanted to be very careful in the logical sense as to approach this problem. There's probably a much quicker efficient way to do this.

Step-by-step explanation:

3.

1.4191919... = 1405/990

4.

√(2/5) and √(1/2)

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

Let's define the variables:

x = number of 10-oz cups of coffee sold.

y = number of 14-oz cups of coffee sold.

z = number of 20-oz cups of coffee sold.

We know that:

Kyle served 21 cups of coffee, then:

x + y + z = 21

He used 294 ounces of coffee, then:

x*10 oz + y*14 oz + z*20 oz = 294 oz

He collected a total of $24.35, then:

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

Then we have a system of 3 equations:

x + y + z = 21

x*10 oz + y*14 oz + z*20 oz = 294 oz

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

To solve this, the first thing we need to do is isolate one of the variables in one of the equations, let's isolate x in the first one.

x = 21 - y - z

Now we can replace this in the other two equations to get:

(21 - y - z)*10 oz + y*14 oz + z*20 oz = 294 oz

(21 - y - z)*($0.95) + y*($1.15) + z*($1.50) = $24.35

Now we can simplify these two equations:

y*4 oz + z*10 oz = 294 oz - 210oz = 84 oz

y*($0.20) + z*($0.55) = $24.35 - $19.94 = $4.40

Now we need to do the same thing, we need to isolate one of the variables in one of the equations, we can isolate z in the first one:

z*10 oz = 84oz - y*4 oz

z = (84oz - y*4 oz)/10oz

z = 8.4 - y*0.4

Now we can replace this in the other equation:

y*($0.20) + ( 8.4 - y*0.4)*($0.55)  = $4.40

Now we can solve this for y.

y*($0.20) + $4.62 - y*$0.22 = $4.40

y*$0.02 = $4.40 - $4.62 = $0.22

y = $0.22/$0.02 = 11

Now that we know the value of y, we can use:

z = 8.4 - y*0.4

z = 8.4 - 11*0.4 = 4

Now that we know the value of z and y we can use:

x = 21 - y - z

x = 21 - 11 - 4 = 6

Then we found:

x = 6

y = 11

z = 4

this means that:

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

If you want to learn more about systems of equations, you can read:

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(x+2)(x-2) / (x-1)(x-5) this is the simplified form of the expression.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

x²-3x-10/x²-6x+5 • x-2/x-5

We can factor the numerator and denominator of the first fraction as follows: (x-5)(x+2) / (x-5)(x-1)

Notice that there's a common factor of x-5 in both the numerator and denominator. We can cancel them out, leaving: (x+2) / (x-1)

Now let's simplify the second fraction:

x-2 / x-5

We can't simplify this fraction any further, so we leave it as is.

Putting it all together, we get:

(x+2) / (x-1) * (x-2) / (x-5)

Multiplying the two fractions, we get:

(x+2)(x-2) / (x-1)(x-5)

This is the simplified form of the expression.

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Answer:

hope it helps you.......

It May Help You

Thank You:)

Answer:

336 square inches

Step-by-step explanation:

Nets are the spreaded out version/outline of 3d figures. It shows the faces of the figure. The figure in this case is actually a triangular prism.

find the area of each shape in the net:

Triangle A (1/2 x base x height)

1/2 • 8 x 6 = 24 square inches

Rectangle B (length x width):

6 x 12 = 72 square inches

Rectangle C:

8 x 12 = 96 square inches

Rectangle D:

10 x 12 = 120 square inches

Triangle E:

1/2 x 6 x 8 = 24 square inches

Add up all the areas of all shapes:

24 + 24 + 120 + 72 + 96 = 336

Surface area is measured in square inches

(Inches in this case)

Hope this helps

Step-by-step explanation:

32/3+21/5÷7

14.87÷7

2.124

Answer:

8[tex]v^{-3}[/tex]z - [tex]\frac{5}{3}[/tex] vz

Step-by-step explanation:

Explanation:

Perimeter is simply the sum of all the edges. The same way 10 can be made of 4+6 or 3+7, the perimeter can be made by many combinations. if you know the 2 must equal 24cm, then we can create numerous combinations.

Answer:

No solution is possible from the informatin provided.

Step-by-step explanation:

You didn't include the table,

Answer:

y intercept is found from the pair that has a 0 for the x variable.

Step-by-step explanation:

if a choice was (0,2) this would be the point where the line intercepts the y axis.

x=0 is the position of the vertical line, and 2 is how high up the graph the line passes through the y-axis

Answer:

last step is (2x + 5)(2x + 1)

Step-by-step explanation:

4x^2 + 12x + 5

4x^2 + (10 + 2)x + 5

4x^2 + 10x + 2x + 5

2x(2x + 5) +1(2x + 5)

(2x + 5)(2x + 1)

Answer:29.16 ml  was left

Step-by-step explanation:

2/3-3/8=

16/23-9/24=

7/24x100/1=

then divide

Answer:

i believe its 3 but i could be wrong

Step-by-step explanation:

sorry if i am..

Answer: B (0,0) r=4

Step-by-step explanation:

9514 1404 393

Answer:

  y +6 = 2(x -6)

Step-by-step explanation:

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-6))/(7 -6) = 2/1 = 2

The point-slope equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Using the slope we found and the first point, the equation is ...

  y +6 = 2(x -6)

Hector is the one who discovered

Answer:

-2+-18 = -2 - 18= -20

hope that helped