a man bought 250 electric lanterns in the united States of America for $5000. he sold them them in lagos at 1,920 naira each. at the time of his journey back to USA, the exchange rate was #96 to dollar
1. if selling at the lanterns at 1920 naira each, he made a profit of 20% cal the exchange rate the time he bought the lantern
2. how much in dollar will the sales amount to the of his journey back to USA ​

Answer:

C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent

Answer:

B

Step-by-step explanation:

Answer:

A) 8d^2/3c

B) 3a^2b^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

In exponent division, if base are same , subtract the exponents.

[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\ \frac{a^{m}}{a^{n}}= \frac{1}{a^{n-m}}, m<n[/tex]

a) 8c²d⁵ ÷ 2c³d³ = [tex]\frac{8}{2}* \frac{d^{5-3}}{c^{3-2}}= 4*\frac{d^{2}}{c}= \frac{4d^{2}}{c}[/tex]

b) 9a³b⁵ ÷ 3ab² = [tex]\frac{9}{3}* a^{3-1}*b^{5-2} = 3a^{2}b^{3}[/tex]

Answer:

7.5 pages.

Step-by-step explanation:

You divide 15 by 2 to work out 1 day.

Answer:

7.5 pages in 1 day

Step-by-step explanation:

In order to find the answer, you would need to do is divide 15 with two since every two days 15 pages are completed, and you would therefore get your answer which is 7.5. If you want to check your answer then simply multiply 7.5 with 2.

a polygon with seven sides is called a heptagon

Answer:

Hyptagon

Step-by-step explanation:

In geometry, a heptagon is a seven-sided polygon or 7-gon.

The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

Answer:

24 hours

Step-by-step explanation:

4 people can do the work in 6 hours

4*6 = 24 work hours

It will take 1 person 24 work hours to complete the job

Answer:

24 hours

Step-by-step explanation:

This question is a tricky one, but easy to solve at the same time. Normally the answer to this question would be 1 person = 24 (blank). But since we are talking about time, unit rates would not help very much. Multiply 4*6=24. It would take one person (assuming he goes as fast ad the others) 24 hours to complete the job.

Given:

The quadratic equation is:

[tex]-5x^2-3x-2=0[/tex]

To find:

The discriminant of the given equation and the number of real solutions.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the value of discriminant is:

[tex]D=b^2-4ac[/tex]

If D<0, then the quadratic equation has no real roots or two imaginary roots.

If D=0, then the quadratic equation has two equal real roots.

If D>0, then the quadratic equation has two distinct real roots.

We have,

[tex]-5x^2-3x-2=0[/tex]

Here, [tex]a=-5,b=-3,c=-2[/tex]. So, the discriminant of the given equation is:

[tex]D=(-3)^2-4(-5)(-2)[/tex]

[tex]D=9-40[/tex]

[tex]D=-31[/tex]

Since D<0, therefore the number of real solutions is 0.

Hence, the value of the discriminant is -31 and the number of real solutions is 0.

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.

Answer:

f(-7) = 268

Step-by-step explanation:

f(x) = 4x^2 – 10x + 2

Let x = -7

f(-7) = 4(-7)^2 – 10(-7) + 2

     Exponents first

f(-7) = 4(49) – 10(-7) + 2

Multiply

f(-7) = 196 + 70 + 2

f(-7) = 268

Answer:

20/3=6.6666666666

Step-by-step explanation:

mark me brainliest

45 min is answer

Step-by-step explanation:

trim of 4 people = 60 min

trim of 1 people = 60/4

= 15

trim of 3 people in = trim of one people × no of people

15×3=45 min

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

She can choose two.

There are 19 options that can be chosen once.

The first thing we need to do, is find all the "selections".

Here we have two selections:

Topping number 1

Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1:  Here we have 19 options.

Topping number 2:  Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

C = 19*18 = 342

There are 342 different combinations.

Answer: 4

Step-by-step explanation:

The exponent in the given number [tex]4^{2}=16[/tex] is  2.

An exponent refers to the number of times a number is multiplied by itself.

For example, [tex]3^{4}[/tex] means we are multiplying 3 four times. Here the base is 3 and exponent is 4.

According to the question

We have a number

[tex]4^{2} =16[/tex]

Here, we are multiplying 4 two times. So, the base is 4 and the exponent is 2.

Hence, the exponent in the given number [tex]4^{2}=16[/tex] is  2.

Learn more about the exponent here:

https://brainly.com/question/5497425

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Step-by-step explanation:

the answer is in the image above

Answer:

[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]

Answer:

Set 1

10 cm, 26 cm, 24 cm

Step-by-step explanation:

10² + 24² = 26²

100 + 576 = 676

Answer:

x =3

Step-by-step explanation:

We can use a ratio to solve

4x         18

------ = ----------

18         27

4x*27 = 18*18

108x=324

Divide each side by 108

x =3

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

Answer: .98

Step-by-step explanation:

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

Explanation:

Set each factor equal to zero and solve for x. This is using the zero product property.

(2x+1)(x-3) = 0

2x+1 = 0    or    x-3 = 0

2x = -1     or    x = 3

x = -1/2    or   x = 3

If you graphed the function, you should see that it crosses the x axis at -1/2 and at 3.

Answer:

10 1/2

Step-by-step explanation:

/ = divide

21 divided by 2 is 10 remainder 1 ~ 10 1/2 as a mixed number

21/2 as a improper fraction

Answer:

Solution: {x = 2, y = -1/3}

Step-by-step explanation:

On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.

2x-3y = 5 ..........(1)

3x+3y = 5............(2)

(1) + (2)

2x - 3y + 3x + 3y = 5+5

5x = 10

x = 2 .......(3)

Substitute (3) in (2) and solve for x

3x+3y = 5 .....(2)

3(2) + 3y = 5

3y = 5-6 = -1

y = -1/3  .......(4)

assemble (3) and (4) to give the answer

Solution: {x = 2, y = -1/3}

Answer:

27+18=45

Step-by-step explanation:

x+y=45

x+9=y

(x+9)+x=45

(18+9)+18=45

27+18=45

The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of the two numbers is 45. One number is 9 more than the other one.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = x + 9              ...1

x + y = 45           ...2

From equations 1 and 2, then we have

x + x + 9 = 45

2x = 36

x = 18

The value of the variable 'y' is given as,

y = 18 + 9

y = 27

The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

Ben = $ 41

Kaden = $ 31

Step-by-step explanation:

Let initially Ben has $ p and then Kaden has $ (p  - 10).

After that

Ben has= $ (p + 4)

Kaden has = $ (p- 10 + 4) = $ ( p - 6)

According to the question,

[tex]p- 6 = \frac{7}{9}\times (p+4)\\\\9 p- 54 = 7 p + 28 \\\\2 p = 82\\\\p =41[/tex]

Initially Ben has $ 41 and Kaden has $ 31.  

Answer:

SSS (Side side side)

Step-by-step explanation:

Answer:

length-14cm width-7cm

Step-by-step explanation:

To work out the sides, you can use 2l+2w=42. Since the length is twice the width, this becomes 2(2w)+2w=42.

This can be expanded to 4w+2w=42 or 6w=42.

From there, we can divide both sides by 6 to isolate w, meaning w=7.

Since the length is twice the width, it is given by l=2×7 or l=14.

**This question involves writing and solving algebraic equations from worded questions, which you may wish to revise. I'm always happy to help!

Answer: X= 25 degrees

Step-by-step explanation:

A triangle is 180 degrees.

115+40=165

180-165=25 degrees

Answer:

The answer is 3.

[tex]\longrightarrow{\purple{3}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]

[tex] \\= \frac{(a + b)(6a + b - 7b)}{2( {a}^{2} - {b}^{2}) } [/tex]

[tex] \\= \frac{(a + b)(6a + b - 7b)}{2(a + b)(a - b)} [/tex]

[tex] \\= \frac{6a - 6b}{2(a - b)} [/tex]

[tex] \\= \frac{6(a - b)}{2(a - b)} [/tex]

[tex] \\= 3[/tex]

( OR )

[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]

[tex] \\= \frac{6 {a}^{2} + 6ab + ab + {b}^{2} - 7ab - 7 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} + 7ab - 7ab }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6( {a}^{2} - {b}^{2} )}{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6}{2} [/tex]

[tex] \\= 3[/tex]

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

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