Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question

Answers

Answer 1

Answer:

Jackie collected 61 coins and 20 stamps

Step-by-step explanation:

Solving (a): Variable representation

Let the coins be represented with c

Let the stamps be represented with s

Solving (b): Setup equation

Total is 81. This implies that:

[tex]s + c = 81[/tex]

Also:

[tex]c = 1 + 3s[/tex]

Solving (c): Solve the system

Substitute 1 + 3s for c in [tex]s + c = 81[/tex]

[tex]s + 1 + 3s = 81[/tex]

Collect Like Terms

[tex]s + 3s = 81-1[/tex]

[tex]4s= 80[/tex]

Divide both sides by 4

[tex]s = \frac{80}{4}[/tex]

[tex]s= 20[/tex]

Substitute 20 for s in [tex]c = 1 + 3s[/tex]

[tex]c = 1 + 3 * 20[/tex]

[tex]c = 1 + 60[/tex]

[tex]c = 61[/tex]

Solving (d): Solution statement

Jackie collected 61 coins and 20 stamps


Related Questions

i have no clue what this one is can someone help

Answers

Answer:

the answer is b

Step-by-step explanation:

radius is half the number of diameter

Approximately 38 percent of people living in Region W have the blood type O positive. A random sample of 100 people from Region X revealed that 35 people in the sample had the blood type O positive. Consider a hypothesis test to investigate whether the percent of people in Region X with O positive blood is different from that of in Region W. Which of the following is the appropriate null hypothesis for the investigation?

Answers

Answer:

Step-by-step explanation:

p = .38

Find the greatest common factor.
3x^2a+3xa^2

Answers

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

x

.

x

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

a

.

a

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

x

a

1

=

a

x

1

=

x

a

2

=

a

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

a

.

x

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

Anybody know this need help??

Answers

Answer:

42 mi

Step-by-step explanation:

To find the perimeter, just add up all the side lengths.

13 + 14 + 15 = 42

Note this is mi and not mi² since this is not area.

Answer:

i think i know. . if its asking for the perimeter, its talking about around the triangle soooo C

Step-by-step explanation:

I'm sorry if you get it wrong. .

determnine if each table shown below represents a function or not.

Answers

Answer:

Table 1 does not represent a function.

Table 2 does not represent a function.

Step-by-step explanation:

                                                 Table 1

Input (x)               1             3          5              5           9        

Output (y)             7            16         19             20       28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 1 does not represent a function.

                                              Table 2

Input (x)               0.5         7          7               12        15      

Output (y)              1           15         10             23        30

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 2 does not represent a function.

Conclusion:

We have concluded that both tables do not represent the function.

Original price of a camera: $649.50
Discount: 40%
What’s the selling price

Answers

389.70 and you save 259.80

Answer: The price of the cámara will be $389.7.

Step-by-step explanation:

Wait whats the equation for this?

Answers

Answer:

10.5

Step-by-step explanation:

Both widths are the same in a rectangle. So both are 6.5. Then you subtract 13 from 34. Now you are left with 21. No divide that by two to get your two lengths. That is l. L=10.5

Answer:

Step-by-step explanation:

P=2L+2W

P=34        W= 6.5

34=2L+2*6.5

34=2L+13

2L=21

L=10.5

or

Given:

P = 34 [Perimeter]

W = 6.5 {let's use W and L to make it easy to read]

Also known:

P = W + L + W + L = 2(W+L)

Fill in values:

34 = 2(6.5+L) [NOTE: This is an equation to determine the length (L) of the rectangle."]

. . .

17 = 6.5 + L [NOTE: This is a simplified form of the above equation.]

. . .

10.5 = L [NOTE: This is the solution (the value of L)]

Help ASAP 4 Brainly
The parallelogram shown below has an area of 21 units?.
7
b
8
Find the missing base.
b=
units

Answers

Answer:

The missing base b is 3 units

Step-by-step explanation:

The parallelogram has two different bases, b1 and b2Each base has a height perpendicular to it from the base parallel to ith1 is the height of b1 and h2 is the height of b2The formula of the area of the parallelogram is A = b1 × h1 = b2 × h2

Let us solve the problem

In the given figure

The given figure is a parallelogram

∵ The line of length 7 is perpendicular to the base that parallels to base b

∵ The base b has a height of 7 units

→ By using the formula of the area above

∵ A = b1 × h1

b1 = b and h1 = 7 units

∵ The parallelogram has an area of 21 square units

A = 21

→ Substitute the value of A and h in the rule of the area

21 = b × 7

∴ 21 = 7b

→ Divide both sides by 7

3 = b

The missing base b is 3 units

Round answers to three decimal places. Area of 1st rectangle =0.022 Area of 2nd rectangle = Area of 3rd rectangle = Area of 4th rectangle = Area of 5th rectangle = Area of 6th rectangle = Total area =

Answers

Answer:

Total area ≈ 0.082 ​

Step-by-step explanation:

Round answers to three decimal places.

Area of 1st rectangle = 0.032

Area of 2nd rectangle =25 x 0.000863

= 0.022

Area of 3rd rectangle = 0.014

Area of 4th rectangle = 0.008

Area of 5th rectangle = 0.004

Area of 6th rectangle = 0.002

Total area = 0.082 ​

Rounding up to 3 decimal places: this means 3 numbers after the decimal point

Area of 1st rectangle ≈ 0.032

Area of 2nd rectangle ≈ 0.022

Area of 3rd rectangle ≈ 0.014

Area of 4th rectangle ≈ 0.008

Area of 5th rectangle ≈ 0.004

Area of 6th rectangle ≈ 0.002

Total area = 0.032 + 0.022 + 0.014 + 0.008 + 0.004 + 0.002

= 0.082

Total area ≈ 0.082 ​

Answer:

Round answers to three decimal places.

Area of 1st rectangle =0.022

Area of 2nd rectangle =  

⇒ 0.014

Area of 3rd rectangle =

⇒ 0.008

Area of 4th rectangle =

⇒ 0.004

Area of 5th rectangle =  

⇒ 0.002

Area of 6th rectangle =

⇒ 0.001

Total area =  

⇒ 0.051

Step-by-step explanation:

edg 2021

Trip has 15 coins worth 95 cents.Four of the coins are each worth twice as much as the rest. Construct a math argument to justify the conjecture that Trip has 11 nickels and 4 dimes

Answers

(11*5)+(4*10)=95
11+4=15
Both are equal to the constraints of the word problem and there for justified.

6 people are playing a game 1 person beat the high score from 746 more than 10254
the other 5 failed and had to retry then all 5 got the same score 10999
what was the score the 6th person got

Answers

Answer: Hello hope you had a good day, Answer should be 11,000

Step-by-step explanation:

if the first guy beat it by 746 more that 10254 then add the two together for 11,000

-

it also says the OTHER 5 meaning a diffrent 5 so the 6th got 11,000.

Determine if the triangles are congruent. If so, state what postulate proves that they are congruent.
Question 24 options:

The triangles cannot be proven congruent.

SAS

SSS

AAS

ASA

HL

Answers

Answer:

I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle

In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures
A 51°
B 68°
C 90°
D 39°

Answers

Answer:

68 degrees

Step-by-step explanation:

To get the interior angle, we use an important triangle principle

The principle is that the sum of the opposite interior angles equal the exterior angle

Let the second interior angle be x

x + 51 = 119

x = 119-51

x = 68

The graph shows how the values of two used cars changed during a 10-year period.
USED CAR VALUES
254
20
Car 1
Value (thousands of dollars)
Car 2
0
1 2 3 4 5 6 7 8 9 10
Time (years)
What was the approximate value of the cars when the two cars were equal in value?
$6.000
$9.000
$15.000
$18.000

Answers

Answer:

9,000

Step-by-step explanation:

Just took test

The length of a living room is 12 feet and its width is 1012feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet

Answers

Answer:

A

Step-by-step explanation:

help me pleasee i dont know how to do thiss

Answers

Step-by-step explanation:

Since UV bisects TW, TW also bisects UV.

=> Line segments UV and TW bisect each other.

=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2

=> 2y = 4 and 3x = 3y - 6

=> y = 2 and x = y - 2

=> y = 2 and x = (2) - 2

=> y = 2 and x = 0.

Answer:

y= 181/7 or 25.86

i really dont know about x

Kelly typed a 36 word paragraph is 2/3 minute what is his typing speed in words per minute?

Answers

Answer:

His typing speed is 24 wpm. (Words Per Minute).

Step-by-step explanation:

The first thing you would have to do is convert 2/3 into a decimal, so 2/3 converted into a decimal is 0.66666666666667, then you would take that number, and multiply that by 36, the you would get you answer of 24. So, Kelly's typing speed is 24 wpm. (words per minute).

In fixed deposit, a bank gives 10% interest compounded annually for senior citizens. How many complete years will it take for a sum of money to be more than double.

Answers

Answer: 8 years

Step-by-step explanation:

You can find this out use the Rule of 72. By dividing 72 by the fixed interest rate, you can estimate the amount of time it will take for an investment to double in size:

= 72/10

= 7.2 years

= 8 complete years

Example:

Assume they invested $1,000. Interest rate is 10%.

Amount after 8 years will be:

= 1,000 * (1 + 10%)⁸

=$2,143.59

Investment is now more than double.

Original price of a computer game: $24.50
Discount: 20%
What is the selling price

Answers

Answer:

You will pay $19.6 for a item with original price of $24.50 when discounted 20%. In this example, if you buy an item at $24.50 with 20% discount, you will pay 24.50 - 4.9 = 19.6 dollars.

Step-by-step explanation:

What is the measure of the third angle

Answers

58

a right triangle is 90 degrees so you subtract 32 from 90 to find the remainder

Answer:

The third angle is 58 degrees

Step-by-step explanation:

In a triangle all three angles add up to 180 degrees. If you know two sides, add them up then subtract the sum from 180. This will leave you with the last angle measurement.

In a right triangle we always know there is one angle that has a measure of 90 degrees. So now we know two angles 90 and 32.

90 + 32 = 122

180 - 122 = 58

Ms.Smith is making party bags for her daughter’s birthday party. She wants to give party bags of 4 ounces of candy to each party guest. She bought a 20-pound bag of candy. How many 4-ounce servings are in a 24-pound bag of candy?

Answers

Answer:

there are 96 4 oz servings in a 24 pound bag

Step-by-step explanation:

If "k" is a negative number, then k + 2 is a negative number.

Answers

Answer:

Not exactly, if a possitive and a negetive are added together the number that was larger will choose its symbol. Say "k" is -3, so -3 + 2 = -1, or if "k" was -1, then -1 + 2 = 1.

Step-by-step explanation:

I hope that makes sense

HELLLLLLLLLLLLLLLLLLLLLLLLLLLP​

Answers

Answer:

C

Step-by-step explanation:

x axis is the horizontal line, so count positive 6, not negative, from there. Then go 3 upwards since its positive 3 :)

c if you follow the 6 along the line that has the x , and go up three you will land on C . (6,3) the first one is always x , the second is alway Y (X,Y) remover that the line honing across is x and the line going up and down is Y. they are usually labeled

y=3x, x+y=52
Solve by subtracting

Answers

Answer:

x=13,y=39

Step-by-step explanation:

y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

I need help plsss. its maths

Answers

Answer:

x=7

Step-by-step explanation:

x+3x+2x-1=41 cm

6x-1=41

6x=41+1

6x=42

x=42/6

x=7

Melanie and Rena open a joint bank account for their jewelry-making business. Melanie contributes $400 to the account, and Rena deposits 225% as much money as Melanie. Which statements are correct?

Answers

Answer:

B,C, D

Step-by-step explanation:

Answer:900

Step-by-step explanation:

Rena deposits 900 into the account

It's due today pls help me out

Answers

Answer: 6(5w+2)

Step-by-step explanation: Factor 30w+12

The access code for a car's security system consists of four digits. The second digit cannot be zero and the last digit must be odd. How many different codes are available?

Answers

Answer:

4,500 different codes.

4,500 codes your welcome

Anyone knows the answer

Answers

Answer:

the answer is 0

Step-by-step explanation:

cuz BD = AC

and if u put a number that u want, the answer of BD - AC will be 0

Answer:

0

Step-by-step explanation:

BD is congruent to AC so there's no need to find the values, it's automatically 0

12a+10 find algebraic expression

Answers

Answer:

dont know

Step-by-step explanation:

it is very confusing

Answer:

2(6a+5)

Step-by-step explanation:

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