Kofi is 5years older than Ama now. Two years ago, Kofi was twice as old as Ama. Find their ages now. ​

Answers

Answer 1

Answer:

Ama is an elephant so she is 2 years old

Step-by-step explanation:

Answer 2
Since time is constant, Kofi has always had to have been five years older than Ama. If at one point Kofi was twice Ama’s age, at that time, Kofi would have had to have been 10, while Ama would be 5. Since that would be two years ago, Kofi would now be 12, and Ama would now be 7.

Related Questions

i dont now this so can someone help me pls

Answers

Answer:

Step-by-step explanation: i bet your ray r stands for g

someone please help me with this! i am very confused so explain too :) thank you

Answers

Answer: 14/15

Step-by-step explanation:

[tex]9x=10x-x[/tex]

Divide both parts of the equation by 9:

[tex]\displaystyle\\x=\frac{10x-x}{9}\\\\x=0,9333333...\\\\Hence,\\\\x=\frac{10*0,933333...-0,9333333...}{9} \\\\x=\frac{9,333333...-0,933333...}{9} \\\\x=\frac{8,4}{9} \\\\x=\frac{8,4*10}{9*10} \\\\ x=\frac{84}{90}\\\\x=\frac{14*6}{15*6} \\\\ x=\frac{14}{15}[/tex]

a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i

Answers

The light must be at a height of 7.07m from the floor for the maximum illumination at P.

How  Distance  is that?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Let I be the illumination at P then according to given conditions,

I =  k cosθ/r²

Where k is constant of proportionality: since

r² = h² + 10²

cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]

then

I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]

on differentiating

[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]

[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]

[tex]\frac{dI}{dh} = 0[/tex]

gives

that is

h = √50 = 7.07

now

[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]

for h = 7.07

[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]

then by second derivative test,I has a maximum ath=7.07

Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.

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Which of the following values is less than −|62|?

Answers

Answer:

-63, -90, -1924. -|63|, etc

Step-by-step explanation:

-71 is the answer.Because -|62|, is -62, but if the negative were inside the two lines then the absolute number would’ve been just 62 not , negative 62 or -62. So the answer would be -71 is less than -62.

a 65g book is 15cm x 5cm x 3c. Find the density

PLEASE HELP ​

Answers

Answer:

Density=13g/45cm cubed

Step-by-step explanation:

D=M/V

D=65g/225cmcubed

D=13g/45cm cubed

The equation for line c can be written as y= – 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?

Answers

Answer:  [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]

This is the same as writing y = (7/3)x - 2/3

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

Explanation:

The given equation is in y = mx+b form

m = -3/7 = slope

b = 4 = y intercept

Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3

The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.

We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]

We'll use the point-slope form to get...

[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]

This equation has a slope of 7/3 and y intercept of -2/3.

4. Calculate the area of the triangle.
20 mm
11 mm

Answers

I am assuming 20mm = breadth and 11mm = height

Ar of Triangle = 1/2 x b x h
= 1/2 x 20 x 11
= 110mm^2

Identify a counterexample for the following statement:
"If a number is a perfect square, then it can't end with a 1."

Answers

Answer:

81

Step-by-step explanation:

81 is a perfect square, and also ends with 1.

Peyton needs to order some new supplies for the restaurant where she works. The restaurant needs at least 732 forks. There are currently 287 forks. If each sentence on sale contains 10 forks right and solve an inequality which can be used to determine X, The number of sets of forks Peyton could buy for the restaurant to have enough forks

Answers

Peyton needs to buy at least 45 sets for the restaurant to have enough forks.

Let the number of sets of forks be represented by 'x'. according to the question there are 10 forks in each set.

Since there are currently 287 forks available in the restaurant, and the restaurant needs at least 732 forks.

The inequality used to represent the given scenario is given by:

10x + 287 ≥ 732

10x ≥ 445

x ≥ 44.5

As Peyton cannot buy 44.5 sets of forks so we round it off to 45.

Therefore, he requires 45 sets in total.

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-1. 64 as a mixed number in simplest form

Answers

Answer:

Step-by-step explanation:

I don’t understand help

Answers

The coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

How to determine the coordinates of the new triangle?

The coordinates of the triangle in the figure are

P = (-5, -3)

K = (-3, -1)

Y = (-1, -4)

The transformation is given as 180 degrees rotation

The rule of this transformation is

(x, y) = (-x, -y)

When this is applied on the triangle, we have the coordinates of the new triangle to be

P' = (5, 3)

K' = (3, 1)

Y' = (1, 4)

Hence, the coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

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If f(x) = 4x20, what is f(4)?

Answers

Answer:

320

Step-by-step explanation:

Plug the 4 into x and go from left to right:

4 times 4 is 16 times 20 is 320

A rectangular box with a square base has a total surface area of 100cm^2. if x is the length of a side of the base, what is the volume of the box in terms if x?

Answers

The volume of the box in terms of x will be :   [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]

We know, Total surface area of a cuboid is: 2(l*b + b*h + h*l)

and it is given that TSA is 100cm^2, the length of the base which is in a square shape is x. So, length l = breadth b = x, and taking height h = y

We need to find out the value of y for finding out the volume of the box.

Putting these values in the formula for TSA,

             => 2(x*x + x*y + x*y) = 100

             => 2(x^2 + 2xy) = 100    =>  y = (50-x^2)/2x

Put this value of y in the formula for volume.

The volume of Cuboid is : l*b*h

            =>  x*x*{(50-x^2)/2}       =>  x^2{(50-x^2)/2x}

             =>   (50x - x^3)/2

Hence, the volume for the box is   [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]

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8 Simplify: 7x² + 4x-x²​

Answers

[tex] \: \Large \mathbb{SOLUTION:}[/tex]

[tex] \: \: \rm{ {7x}^{2} + 4x - {x}^{2}}[/tex]

[tex] \: \: \text{Reorder and gather like terms}[/tex]

[tex] \: \: \rm{( {7x}^{2} - {x}^{2} ) + 4x}[/tex]

[tex] \: \: \text{Collect coeffiecients of like terms}[/tex]

[tex] \: \: \rm{(7 - 1) {x}^{2} + 4x}[/tex]

[tex] \: \: \text{Calculate the sum or difference}[/tex]

[tex] \: \: \rm{ \underline{ \underline{ {6x}^{2} + 4x}}}[/tex]

Answer:

[tex] \rm{6x {}^{2} + 4x}[/tex]

Solution:

Collect like terms

[tex] \red{7x {}^{2} } + 4x \red{ - x {}^{2} }[/tex]

[tex] \red{6x {}^{2} } + 4x [/tex]

here are points A and B Plot the points for each dilation described

Answers

Answer:

No one can answer this

Step-by-step explanation:

You need to add a picture or something because we need more information. This could be a graph, a number line, etc.

Answer:

(Image 1)

d(A,C)=10d(C,B)=8

d(A,B)=d(A,C)+d(C,B)=10+8=18

(Image 2)

AB=AC−BC

=10−8=2

Step-by-step explanation:

Someone please help me

Answers

Answer:

Please see the picture below.  You were on the right track.  You were just off in letter A.

Step-by-step explanation:

The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Answers

Answer:

Question? where is a question...that is a statement

6/7 x 2 2/14 please answer my question and tell me how to get the answer

Answers

Answer:

90/49

Step-by-step explanation:

you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer

On a coordinate plane, a parabola with equation f (x) = squared minus 4 x + 2 opens up. It goes through (0, 2), has a vertex at (2, negative 2), and goes through (4, 2).
Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

x > –2; f Superscript negative 1 Baseline (x) = 2 minus StartRoot x + 4 EndRoot
x > –2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
x > 2; f Superscript negative 1 Baseline (x) = 2 minus StartRoot x + 4 EndRoot
x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Answers

The domain at which the function f(x) = x² - 4•x + 2, and the inverse of the function, f(x), is given by the option;

x > 2; [tex] f^{-1}(x) = 2 + \sqrt{x + 2} [/tex]

How can the inverse function and the domain of the inverse function be found?

The given function is f(x) = x² - 4•x + 2.

The points through which the parabola passes are;

(0, 2)(2, -2), which is the vertex(4, 2)

The inverse of the function is found as follows;

f(x) = x² - 4•x + 2

The standard form of a quadratic equation is f(x) = a•(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

a = The coefficient of x²

Comparing, we have;

(h, k) = (2, -2)

a = 1

Which gives;

f(x) = x² - 4•x + 2 = (x - 2)² - 2

f(x) = (x - 2)² - 2

Let f(x) = y

y = (x - 2)² - 2

y + 2 = (x - 2)²

x - 2 = √(y + 2)

x = √(y + 2) + 2 = 2 + √(y + 2)

x = 2 + √(y + 2)

Therefore, f(x) has an inverse when y > -2, which gives;

The domain where f(x) has an inverse is x > 2, given that the expression, 2 + √(y + 2), is always positive.

The inverse of the function is obtained by changing x to [tex] f^{-1}(x) [/tex] and y to x in the equation, x = 2 + √(y + 2), to give;

[tex] f^{-1}(x) = \mathbf{2 + \sqrt{x + 2}} [/tex]

The correct option is therefore;

x > 2, f superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

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Answer:

Its D.x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Step-by-step explanation:

Write an equation of the line satisfying the given conditions. the line passes through (25,24)(25,24) and is perpendicular to y=6y=6.

Answers

The equation of the line is x = 25, in accordance with the given conditions.

What is the equation of a line?It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.

Given:

Line passes through (25,24)Line is perpendicular to y =6.

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

Since the given line is perpendicular to y = 6; the slope of this line = 0.

The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Since the line passes through (25,24), x' = 25

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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Evaluate 40-15/t for t=5 step by step

Answers

Answer:

37

Step-by-step explanation:

Evaluate 40-15/t for t=5 step by step

first, remember PEMDAS

substitute in 5 for t

40-15/5

since division (D) comes before subtraction (S) in PEMDAS, we divide first

15/5 is 3

we are left with

40-3

if we subtract, we are left with

37

Answer:

37

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiply          

Divide

Add

Subtract

^

This is the order you should complete your problem in...

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students filled 442 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

26%

Step-by-step explanation:

Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders

442/1700 × 100% = 26%

Hope this helps! ^^

what is an equation of the line shown on the graph in the point-slope form, using the point(1,-1)

Answers

using the points (1,-1) will be -1= m(1)+b

100(mod5) simplify it

Answers

Answer:

0

Step-by-step explanation:

Arianys wants to ride her bicyle 55.5 miles this week. she has already ridden 19 miles. if she rides 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?

Answers

Answer:4.6 miles for 5 days

Step-by-step explanation:

37 - 14 = 23

23 divided by 5 = 4.6

Answer:4.6 miles

Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles

Given an Algebraic Expression: 8x³y - 11x²y² + xy³ +17.
1.1. What is the name of the algebraic expression?

Answers

Answer: The name of the algebraic expression is polynomial.

Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .

A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.

similarly;

algebraic expression which is having only one term is known as a monomial. example: 5x,10y.

an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.

example: 8x³y - 11x²y² + xy³ +17.

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Answer:

Step-by-step explanation:  algebric expression of degree4.

The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?

Answers

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

[tex]H _{0} : p = 0[/tex]

When correlation is non-zero,

[tex]H _{ \alpha } : p ≠0[/tex]

The test statistic is,

[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]

[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]

[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]

= -2.093

The test statistic is -2.093.

The correlation is,

[tex]H _{ \alpha } : - 2.93 ≠0[/tex]

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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a pizza parlor can make 100 pizzas in an evening. they make 40 pepperoni pizzas and 60 extra cheese pizzas. they are producing each pizza at the lowest possible cost. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. this pizza parlor is what?

Answers

The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.

What is meant by technically efficient?

Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.

An input would be any quantifiable resource required to produce an output, or product. Labor, materials, and equipment are all examples of inputs. Outputting cakes, for example, necessitates at least the mentioned inputs: bakers, ingredients, and ovens.What is meant by economically efficient?

The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.

In other words, the company wants to cut costs as much as possible even while meeting production targets. For instance, the bakery would perhaps purchase cheaper materials to lower costs without lower productivity.

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The complete question is;

A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?

Technically efficient

allocatively efficient

economically efficient

13
Write the time.
-9
11 12
10
8
76
1
2

Answers

Answer:

5:45

...................................

Answer:

the time is 5:45 PM according to that watch

Gabriel finds some dimes and quarters in his change purse. How many coins does he have if he has 11 dimes and 8 quarters? How many coins does he have if he has dd dimes and qq quarters?

Answers

Answer:

8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents

Step-by-step explanation:

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