Melissa is a software saleswoman. Her base salary is $2100, and she makes an additional $80 for every copy of History is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 27 coples of History is Fun.

Answer:

12 pairs

Step-by-step explanation:

Represent Brown with B and Black with A

So:

[tex]A + B = 20[/tex] --- Pairs sold

[tex]30B + 35A = 640[/tex] --- Amount

Required

Solve for B (the brown pairs)

Make A the subject in the first equation

[tex]A = 20 - B[/tex]

Substitute 20 - B for A in the second

[tex]30B + 35(20-B) = 640[/tex]

Open bracket

[tex]30B + 700 - 35B = 640[/tex]

Collect Like Terms

[tex]30B - 35B = 640 -700[/tex]

[tex]-5B = -60[/tex]

Divide both sides by -5

[tex]B = \frac{-60}{-5}[/tex]

[tex]B =12[/tex]

Answer:

a man owe a debt of 99 naira

naira pays = monthly installments =2.50

how many years would take him to finish the paying the debit

5years

It would take 3 years for him to finish paying the debt.

Given that,
A man owes a debt of 90naira and has to pay back monthly installments of 2.50.
it is to be determined how many years would it take him to finish paying the debt​.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total loan amount = 90
monthly installment = 2.50
Total months for installments = 90 / 2.20 = 36
Total years = number of months / months in ayear = 36 / 12 = 3

Thus, it would take 3 years for him to finish paying the debt.

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Answer:

if it's me I would pick etherbc are d I holp it helps

Answer:

i hope this helpss

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the first set 20 corresponds to 1/6

for a fraction of 2/3 = 4/6

thus 4 * 1/6 = 4 * 20 = 80 calories

For 10 calories,

20 * 1/2 = 10 calories thus

1/6 * 1/2 = 1/12

For 90 calories,

10 * 9 = 90 calories thus,

1/12 * 9 = 9/12 = 3/4

The age of John is 41 years.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

John is 5 years older than Samantha and Samantha is twice as old as Tim.

And, The sum of their ages is 95.

Now,

Let the age of Tim = x

Then, Age of Samantha = 2x

And, Age of John = 2x + 5

Since, The sum of their ages is 95.

So, We can formulate;

⇒ x + 2x + (2x + 5) = 95

⇒ 5x + 5 = 95

Subtract 5 both side, we get;

⇒ 5x + 5 - 5 = 95 - 5

⇒ 5x = 90

Divide by 5, we get;

⇒ x = 18

Thus, The age of John = 2x + 5

                                   = 2 × 18 + 5

                                   = 36 + 5

                                   = 41

Therefore, The age of John is 41 years.

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Answer:

a.) 3x = 18 (where x = width)

b.) Area = 66 squared feet

Step-by-step explanation:

2{x + (2x-1)} = 34

3x - 1 = 17

x = 6 feet

length = 11 feet

Area = x (2x -1)

9514 1404 393

Answer:

  b.  (-3, 1)

Step-by-step explanation:

Quadratic (or any higher-degree) inequalities are nicely solved from their factored form. The factors tell you where the function is zero. Their signs tell you whether the product is greater than or less than zero.

Here the factor (x-1) tells you the function is zero at x=1, where this factor is zero. For values of x > 1, this factor is positive.

The  factor (x+3) tells you the function is zero at x=-3, where this factor is zero. For values of x > -3, this factor is positive.

Now we know the signs of the factors are the same for x < -3 (both negative) and for x > 1 (both positive). Between these values, the factors have different signs, so the function value is negative. This interval (-3, 1) is the interval that is the solution to ...

  (x -1)(x +3) < 0

Answer:

7

Step-by-step explanation:

rate of change of function not necessary mean linear, it can be the slope of a tangent line.

a: y=8x+3    slope = 8

b: rate of change: 1

8-1=7

I wish this is true...

Given:

The function is

[tex]d(x)=850(0.94)^x[/tex]

To find:

The domain of the function.

Solution:

Domain is the set of input values.

We have,

[tex]d(x)=850(0.94)^x[/tex]

It is an exponential function, with initial value 850 and decay factor 0.94 because 0.94<1.

The exponential functions are defined for all real values of x. So, the domain of exponential function is always the set of all real numbers.

Therefore, the domain of the function d(x) is the set of all real numbers, i.e., R.

Answer:

22___16___38

29___9___38

51___25___76

Step-by-step explanation:

22+_=_

29+9=_

_+25=_

_______________________________

22+_=_

29+9=38

_+25=_

________________________________

22+16=_

29+9=38

_+25=_

________________________________

22+16=38

29+9=38

_+25=_

________________________________

22+16=38

29+9=38

51+25=_

________________________________

22+16=38

29+9=38

51+25=76

Answer:

430,000 dollars will be spent on education.

Step-by-step explanation:

np

Answer:

(2h + 3k) (m -  n)

Step-by-step explanation:

factor by pairing:  pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates

m is common factor of 1st pair: m(2h+3k)

n is common factor of 2nd pair: n(2h+3k)

answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)

Answer:

[tex](2h+3k)(m-n)[/tex]

Step-by-step explanation:

[tex]2mh+3mk-2nh-3nk[/tex]

Just look at the common terms

[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]

By grouping we have

[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]

Answer:

29%

Step-by-step explanation:

The probability that Laura does not win the prize is 0.9657

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability that Laura wins be = P ( x )

So , the probability that Laura does not win is = 1 - P ( x )

Let the total number of raffle tickets to be sold is = 350 raffle tickets

The number of tickets Laura bought = 12 raffle tickets

Therefore , the probability that Laura wins the prize =
number of tickets Laura bought / total number of raffle tickets

The probability that Laura wins the prize P ( x ) = ( 12/350 )

Now ,

The probability that Laura does not win is = 1 - P ( x )

The probability that Laura does not win = 1 - ( 12/350 )

The probability that Laura does not win = ( 350 - 12 ) / 350

The probability that Laura does not win = 338 / 350

The probability that Laura does not win = 0.9657

Hence , The probability that Laura does not win the prize is 0.9657

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Answer: UT

Step-by-step explanation:

Not sure but side BC is more elevated and looks similar to side UT in the other shape.

Answer:

38.46%

Step-by-step explanation:

there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection

out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%

Answer:

(5x-7)(x+1)

Step-by-step explanation:

Here, we want to factor the given polynomial

That would be;

5x^2-7x+5x-7

= 5x^2+5x-7x-7

= 5x(x + 1) -7(x + 1)

= (5x-7)(x+ 1)

Answer:

the domain and range can be found by horizontal and vertical test

Step-by-step explanation:

6.B

7.D

8.A

9.C

Answer:

3520 pounds

Step-by-step explanation:

First, we have to find how many pennies equal 2.2 lbs

By seeing that 1 penny equals 4 grams, we can divide 4 into 1,000

By doing this we can find out how many pennies equals 2.2 lbs

It is 250 pennies per 2.2 lbs

Now, it wants 400,000 pennies

So we can do 400,000/250

Which is 1600

1600*2.2 is 3520

So the answer is 3520 pounds

Answer:

Perimeter of the sector = (36 + 8π) cm.

Step-by-step explanation:

Formula to find the of an arc of the circle is,

Length of the arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture = [tex]\frac{80}{360}(2\pi) (18)[/tex]

                                                                                = 8π cm

Perimeter of the sector = Sum of all sides of the sector

                                       = Length of radius + length of the arc + length of radius

                                       = 18 + 8π + 18

                                       = (36 + 8π) cm

Perimeter of the sector is (36 + 8π) cm.

Answer:

Coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  [tex](x_2,y_2)[/tex]

We will use the formula of midpoint: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We are given midpoint K and [tex]x_1,y_1[/tex] the coordinates of P we need to find [tex]x_2,y_2[/tex] the coordinates of Q.

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\[/tex]

Now, we can write

[tex]-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16[/tex]

So, we get coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]

Option D is correct option.

Answer:

It will take 4 years

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

∵ The investment is $40000

∴ P = 40000

∵ The simple interest is $8000

∴ I = 8000

∵ The rate of interest is 5%

∴ r = 5%

→ Change it to decimal by divide it by 100

∴ r = 5 ÷ 100 = 0.05

→ Substitute them in the formula above

∵ 8000 = 40000 × 0.05 × t

∴ 8000 = 2000t

→ Divide both sides by 2000

∴ 4 = t

∵ t is the time of investment

∴ It will take 4 years

Answer:

-23

Step-by-step explanation:

firstly u need to substitute a to 1/4 and b to 6

16(1/4) to the power of 2 - 4(6) equal to -23

Answer:

No

Step-by-step explanation:

Because of the fact that the sum of the three interior angles of a triangle must be 180 degrees, a triangle could not have two right angles.

Answer:

No it cannot

Step-by-step explanation:

the sum of the angles of the triangles has to be 180 so if you have two right angles then the last angle has to be 0 which is not possible

Answer:

40+5x=62.50

Step-by-step explanation:

8 friends 5 dollars is 40 dollars. Each popcorn bag is 2.5

40+5(2.5)=62.5

40+12.5=62.5

Answer:

62.50 + 8x = 40

Brailest plez and ill give you brainiest!

Step-by-step

Answer:

58 and 60

Step-by-step explanation:

well if we say that x is the first integer

then we have that the next one is

x+2

so we have

[tex]x+(x+2)=118\\\\2x+2=118\\\\2x=116\\\\x=58[/tex]

and the other one is

[tex]x+2=58+2=60[/tex]

Answer:

suppose one of our integers is x. then the next one would be x+2(because they are consecutive). so the equation looks like this :

x + ( x + 2 ) = 118 then we'll have : 2x+2 = 118 then : 2x = 116 .

so x would be 58 and the next one would be 60

Step-by-step explanation:

Answer:

Amount got by Natasha = £52

Step-by-step explanation:

Given that:

Ratio of Sushil, Natasha and Fiona's share = 1:4:2

Amount of money received by Sushil and Fiona = £39

Let,

x be the number of times.

x+2x = 39

3x = 39

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{39}{3}\\x=13[/tex]

Share of Natasha = 4x = 4(13) = £52

Hence,

Amount got by Natasha = £52

Answer:

[tex]r=\frac{5}{2}\sqrt{2}[/tex]

Step-by-step explanation:

Triangles And Circles

If a right triangle is inscribed in a circle (or the circle is circumscribed around the right triangle), then the hypotenuse of the triangle is the diameter of the circle.

The right triangle has both legs of known lengths, thus the hypotenuse (the diameter of the circle is):

[tex]d^2=5^2+5^2[/tex]

[tex]d^2=25+25=50[/tex]

[tex]d=\sqrt{50}[/tex]

Since 50=2*25:

[tex]d=5\sqrt{2}[/tex]

Thus the radius of the circle is:

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{5\sqrt{2}}{2}[/tex]

[tex]\boxed{r=\frac{5}{2}\sqrt{2}}[/tex]

Answer: a. 12.39, 12.62, 124, 124

Step-by-step explanation:

The given numbers are : 124, 12.62, 12.39, 124

By using decimals , we convert them into like decimals .

124.00, 12.62, 12.39, 124.00  (To two decimal places)

Now , Least number = 12.39 , Greatest number = 124.00   (Which is repeating)

In order from least to greatest : 12.39, 12.62, 124, 124.

Hence, the correct option is : a. 12.39, 12.62, 124, 124