The value of a collectible coin can be represented by the equation y = 2 x + 9.74, where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it? $4.87 $7.74 $9.74 $19.48

Answers

Answer 1

Answer:

you would multiply 2 * 4.87 and then add that to 9.74 and then you do that to everyone and then one of them will get you your answer and I am not sure about the answer but I think its b

Step-by-step explanation:

Answer 2

Answer:

The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C

Step-by-step explanation:

The form of the linear equation is;

y = m x + b, where

m is the slope of the line (The rate)

b is the y-intercept (initial amount, value y at x = 0)

∵ The value of a collectible coin can be represented by the equation

  y = 2 x + 9.74

→ Compare it with the form of the linear equation above

∴ m = 2

∴ b = 9.74

∵ x represents the number of years that Consuelo has owned the coin

∵ y represents the total value, in dollars, of the coin

→ That means the value of y at x = 0 is the value of the coin when

  Consuelo originally purchased it

∵ b represents the value of y at x = 0

∵ b = 9.74

∴ The value of the coin when Consuelo originally purchased it is $9.74


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First to answer, gets BRAINLIEST

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Step-by-step explanation:

Answer:

y = 35°

Step-by-step explanation:

if the lines are parallel, the alternate interior angles theorem applies ("if a transversal intersects two parallel lines then alternate interior angles are congruent"). so since we know that the lines are parallel, the alternate interiors are congruent so 70=2y. from there, divide both sides by 2 to isolate y (division property of equality) and y=35.

I don't know how to do this Solve the equation.

x3=−8
x=

Answers

Answer:
x= -8/3 or x= -2.6

working out:
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Answer: -2 2/3 or -8/3

what is the distance between -3 and 2 on the number line​

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5
2+3 is 5
HOPE THIS HELPS
HAPPY CHRISTMAS

HELP
Terry leaves his house
riding a bike at 20
km/h. Sally leaves 6 h
later on a scooter to
catch up with him
travelling at 80 km/h.
How long will it take
her to catch up with
him?

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Answer:

2

Step-by-step explanation:

So let's call the time she needs to catch up "x", and so Terry's rate would be x-6 since he left home 6 hours earlier. Then we multiply the rates to get 20x - 120 = 80x. The answer is -2, but we can just say 2.

Checking our answer, that means if it took Sally 2 hours, it took Terry 8 hours for he left home 6 hours earlier. So 8 times 20 = 160km traveled. 2 times 80 = 160km traveled. Same distance.

I need help ASAP!!!!!!!!!!!!!!!!!!!!

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Answer: 56/33

Step-by-step explanation: Tan= Opposite over Adjacent or O/A

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OPEN ENDED QUESTION -6(-3)​

Answers

Answer:

-6(-3)​=18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 x 3 = 18 bc neg x neg = pos

Which expression is equivalent to (StartRoot 3 EndRoot + i) cubed? URGENT!!!!!!!!!! WILL GIVE BRAINLIEST

Answers

Answer:

third option

Step-by-step explanation:

Using De Moivre's theorem

([tex]\sqrt{3}[/tex] + i)³ , then

| [tex]\sqrt{3}[/tex] + i |

= [tex]\sqrt{(\sqrt{3})^2+1^2 }[/tex]

= [tex]\sqrt{3+1}[/tex] = [tex]\sqrt{4}[/tex] = 2

arg([tex]\sqrt{3}[/tex] + i) = [tex]tan^{-1}[/tex]( [tex]\frac{1}{\sqrt{3} }[/tex] ) = [tex]\frac{\pi }{6}[/tex]

Thus

([tex]\sqrt{3}[/tex] + i)³

= 2³ [ cos(3 ×[tex]\frac{\pi }{6}[/tex] ) + isin( 3 × [tex]\frac{\pi }{6}[/tex] ) ]

= 8 [ cos([tex]\frac{\pi }{2}[/tex]) + isin([tex]\frac{\pi }{2}[/tex] ) ]

Answer:

C

Step-by-step explanation:

at the school Fall Festival the students council sold soda at the fundraiser the table below shows the number of sodas they sold and they cumulative total money.
A. 3.40 per soda
B. 1.40 Per soda
C. 2.40 Per soda
D. 3.60 per soda ​

Answers

Answer:

$4.80/2sodas

4.80/2=2.40

C. 2.40 per soda

Bananas cost 3abunchandapplescost0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?

Answers

Considering the definition of an equation, the total cost is 0.50a + 3b.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

Total cost

Being

"a" the number of apples."b" the number of bunches of bananas.

and knowing that:

Bananas cost $3 a bunch.Apples cost $0.50 each.

the equation that represents the total cost is:

total cost= 0.50a + 3b

Finally, the total cost is 0.50a + 3b.

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Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two​ cameras, both with a field of view of 110°​, installed at point​ A? Explain. If​ not, what is the minimum field of view that each camera should​ have?

Answers

Step-by-step explanation:

The two cameras will have total view of:

110° + 110° = 220°

The angle to be viewed is:

270° - 15° = 255°

This is not sufficient to cover the needed area as 220° < 255°

The cameras should have a minimum view of:

255°/2 = 127.5°

What is ratio? I





I will mark Brainiest

Answers

Answer:

ratio is line from center to end of the circle

Step-by-step explanation:

A ratio indicates how many times one number contains another.

Example: eight oranges and six lemons in a bow of fruit, then the ratio of oranges to lemons is eight to six


8 : 6 (which the equivalent ratio is 4 : 3 because it’s half)

The varlables x and y vary Inversely. Use the given values to wrke an equation relating X and y

Answers

x and y vary inversely means y is inversely proportional to x, this means:

y=k/x, where k is a constant.

We are given that when x=-4, y=7/2, we replace these values to find k.

7/2=k/-4
k= (-4*7)/2=-14

So we have y=-14/x

Therefore, when x=4, y=-14/4= -7/2

I have no clue what to put in all of these boxes help me

Answers

Put 100. In the first box

i dont think it right i only could do the first one i dint know the last one cuz ...

Question 7 options: A raffle sells 1000 tickets for $35 each to win a new car. What is the probability of winning the car

Answers

Answer:

it would be 1/1000 assuming only 1 ticket sold to 1 person each; if a person bought more than 1 ticket then there odds of winning increase

Step-by-step explanation:

The probability of winning the car is 0.001.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Given that, a raffle sells 1000 tickets for $35 each to win a new car.

Here, we know that there is a total of 1000 tickets. If there is only one car, then definitely only one wins the raffle. The probability of winning is also dependent on the number of tickets one will purchase. But for this problem, we are going to assume that only one raffle can be bought by one person. Thus, the probability of winning a new car is simply

P(E)= Number of raffle tickets one can buy/Total number of raffle tickets

= 1/1000

= 0.001

Therefore, the probability of winning the car is 0.001.

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Explain how to estimate the quotient using compatible numbers.

27 2/3 divided by 3 9/10

Answers

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

Hope this helps,

Please give brainliest if you like my answer

Have a great day

which is greater -5/10 or -3 / -4​

Answers

Answer: -5/10, But that can be simplified to -1/2

-5/10 because it equals -1/2 with is gutter right in a number line than -3 or -4 (however if you made a typo and meant to say -3/4 the answer is still -5/10 BUT if you meant to say -3/-4 then the answer would be -3/-4 because that would equal +3/4 which would be further right)

A person borrowef Rs 16000 from a bank at 12.5% pet annum simple intrest and lent the whole amount to shopkeeper at the sam rate of compound interest.How much will he gain in 2 years?​

Answers

Answer:

The amount he gains in 2 years is Rs. 250

Step-by-step explanation:

The parameters of the amount borrowed from the bank are;

The amount borrowed, P = Rs. 16,000

The interest rate of the amount borrowed, R = 12.5%

The number of years, T = 2 years

The simple interest, I = (P × R × T)/100 =  (Rs. 16,000 × 12.5 × 2)/100 = Rs. 4,000

The total amount the person is to pay bank to the bank = P + I = Rs. 16,000 + Rs. 4,000 = Rs. 20,000

The parameters of the amount lent to the shopkeeper are;

The amount lent, P = Rs. 16,000

The compound interest rate of the amount lent, R = 12.5%

The number of years, T = 2 years

The amount he receives from the shopkeeper after 2 years, A = P·(1 + R/n)^(n × T) = Rs. 16,000 × (1 + 0.125/1)^(1 × 2) = Rs. 20,250

The amount he gains in 2 years = The amount he receives from the shop keeper - The amount he gives to the bank = Rs. 20,250 - Rs. 20,000 = Rs. 250

The amount he gains in 2 years = Rs. 250.

How many solutions does the nonlinear system of equations graphed below have?
A. Two B. One C. Four D. Zero
I think 4 but I'm not sure​

Answers

Answer: 4

Step-by-step explanation: just did it myself

Find how many values of X does f(x)=5? Illustrate on the graph.

Answers

Answer:

Step-by-step explanation:

The question is saying "How many x values are there when y = 5?"

The answer is 2.

When x ≈ 1 and when x = ≈ 2

Someone help me please I don’t get it

Answers

Answer:

x = [tex]\frac{15}{2}[/tex] , x = 1

Step-by-step explanation:

(a)

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

(b)

3x + 2 = [tex]\frac{2x+13}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Put each line into slope-intercept form:
1. 2x + 4y = 8

2. 2y = 2x + 4

( Can someone help me )

Answers

Answer:

Step-by-step explanation:

Hh

I need it step by step please​

Answers

Answer: None of the lines are parallel to one another

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

Explanation:

Solve each equation for y

Line a:

4y+x = 8

4y = -x+8

y = (-x+8)/4

y = (-x/4) + (8/4)

y = (-1/4)x + 2

This equation is in the form y = mx+b with slope m = -1/4

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

Line b:

2y+x = 4

2y = -x+4

y = (-x+4)/2

y = (-x/2) + (4/2)

y = (-1/2)x + 2

The slope is m = -1/2. It is not parallel to line a because parallel lines must have the same slope (but different y intercept).

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

Line c:

2y = -3x+6

y = (-3x+6)/2

y = (-3x/2) + (6/2)

y = (-3/2)x + 3

The slope here is m = -3/2. it is not parallel to line a, and it is not parallel to line b either for similar reasons discussed above.

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

In summary, none of the three lines are parallel to one another. The graph below visually confirms this. Each pair of lines intersects at exactly one location, showing they cannot be parallel.

The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the pool is 1,500 square feet. What are the length and width of the pool?

Answers

Answer:

750

Step-by-step explanation:

The length and width of the swimming pool is 50feet and 30 feet respectively.

What is surface area ?

The amount of space covering the outside of a three dimensional space is called surface area.

Formula for the surface area of  rectangular swimming pool

surface area = length × breadth

According to the given question

The length of the rectangular swimming pool is 20 feet greater than the width.

and, the surface area of the pool is 1,500 square feet.

Let the width of the rectangular pool be x.

length of the pool = 20+x

therefore,

surface area of pool = length × breadth

⇒1500 = x×(20+x)

⇒[tex]1500= 20x+x^{2}[/tex]

⇒[tex]x^{2} +20x-1500=0[/tex]

⇒[tex]x^{2} +50x-30x-1500=0[/tex]

⇒[tex]x(x+50)-30(x+50)=0[/tex]

⇒[tex](x-30)(x+50)=0[/tex]

⇒x=30 and -50(not possible)

x=30 feet

so, the width of the pool is 30 feet.

length of the pool = x+20 = 30+20 = 50 feet.

Hence, the length of the pool is 50 feet and width of the pool is 30 feet.

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Marsha deposited $5,000 into a savings account 3 years ago. The simple interest rate is 4%. How much money did Marsha earn in​ interest?

Answers

Answer:

Amount of interest = $600

Step-by-step explanation:

Given:

Deposited p = $5,000

Number of year n = 3

Interest rate r = 4% = 0.04

Find:

Amount of interest

Computation:

Amount of interest = P(r)(n)

Amount of interest = 5,000 x 3 x 0.04

Amount of interest = $600

Solve by substitution.

X = y + 3
3x + y = 25

Answers

1.distribute
3y+9+y=25
2. combine like terms
4y+9=25
3. subtract 9 from both sides
4y=16
4. divide
Solution: y=4
and for X it would be
X= (4) +3
X=7
so the Final solution is (7,4)

Charmaine started a game at 10:44AM and finished at 11:11AM How long did it take her give your answer in minutes

Answers

Answer:

Total time taken = 27 min

Step-by-step explanation:

Given:

Started game time = 10:44 AM

Ending game time = 11:11 AM

Find:

Total time taken

Computation:

Total time taken = Ending game time in min - Started game time in min

Total time taken = [11x60 + 11] - [10x60 + 44]

Total time taken = 671 - 644

Total time taken = 27 min

Which expression represents the number of hours in w weeks and d days?
A. 7W + 12d
B. 84W + 24d
C. 168W + 24d
D. 168W + 60d

Answers

The answer is c// 24 hours in a day eliminates a and d and 24 times 7 is 168

The expression represents the number of hours in w weeks and d days is 168 W + 24 d.

The correct option is (C).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

We know the number days in a week = 7

and, the number of hour in a day = 24

So, number of hour in a week = 24 x 7 = 168

Then, the expression number of hours

= 168 W + 24 d

where W is the weeks and d is days.

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Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above

Answers

Answer:

Humans living in highly populated areas are more inclined to violence.

Answer:

A. Violence

Step-by-step explanation:

got it right, hope this helps!

Complete each statement given w = 2(cos(90o) + i sin (90o)) and z = StartRoot 2 EndRoot (cos(225o) + i sin(225o)). In rectangular form, w = 0 + i. In rectangular form, z = – 1i. In rectangular form, w + z = –1 + i. In polar form w + z = StartRoot 2 EndRoot (cos(o) + i sin(o)

Answers

This question is based on the concept of polar form.Therefore, the expression in polar form is [tex]\bold {z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]

Given the following complex numbers in:

w = 2(cos(90°) + i sin (90°))

As we know that,

sin 90 degree = 1

cos 90 degree = 0

Put these values in given equation,

We get,

w = 2(0+i(1))

w = 2(0)+2i

w = 0+2i

Hence the value of w in rectangular form is  0+2i .

Now solving for z:

z =√2(cos(225°) + i sin(225°))

z = √2(-1/√2+ i (-1/√2))

z = -√2/√2 - √2(-1/√2)i

z = -1 + 1i

Therefore, the value of z in rectangular coordinate is -1+ 1i.

Now solving for  w + z:

w + z = 0+2i + (-1+1i)

w+z = 0+2i-1+i

w+z = -1+3i

Write w+z in polar form,

Get the modulus

|w+z| = √(-1)²+3²

|w+z| = √1+9

|w+z| =  √10

Get the modulus

= tan^-1(-3)

= -71.56

[tex]\Theta[/tex] = 180 - 71.56

[tex]\Theta[/tex] = 108.43

Therefore, the expression in polar form is,[tex]\bold{z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]

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Answer:

Step-by-step explanation:

A. 1i

B.315

C.315

Hope this helps!

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