there are 2 more than 3 times as many parrots as finches at the pet store, if there's a total of 18 parrots and finches, how many are parrots and how many are finches

Answers

Answer 1

Final answer:

To solve this problem, you can set up a system of equations. There are 4 finches and 14 parrots.

Explanation:

To solve this problem, we can set up a system of equations based on the given information. Let's assume that the number of finches is 'x'. According to the problem, there are 2 more than 3 times as many parrots as finches. This can be written as:

Parrots = 3x + 2

Since the total number of parrots and finches is 18, we can set up another equation:

Parrots + Finches = 18

Substituting the first equation into the second equation, we get:

(3x + 2) + x = 18

Combining like terms, we have:

4x + 2 = 18

Subtracting 2 from both sides, we get:

4x = 16

Dividing both sides by 4, we find that:

x = 4

So, there are 4 finches and 3(4) + 2 = 14 parrots.


Related Questions

90,175,087,309 in expanded form

Answers

90,000,000,000
+ 0
+ 100,000,000
+ 70,000,000
+ 5,000,000
+ 0
+ 80,000
+ 7,000
+ 300
+ 0
+ 9

Expanded Factors Form:
9 × 10,000,000,000
+ 0 × 1,000,000,000
+ 1 × 100,000,000
+ 7 × 10,000,000
+ 5 × 1,000,000
+ 0 × 100,000
+ 8 × 10,000
+ 7 × 1,000
+ 3 × 100
+ 0 × 10
+ 9 × 1

Expanded Exponential Form:
9 × 1010
+ 0 × 109
+ 1 × 108
+ 7 × 107
+ 5 × 106
+ 0 × 105
+ 8 × 104
+ 7 × 103
+ 3 × 102
+ 0 × 101
+ 9 × 100

Word Form:

ninety billion, one hundred seventy-five million, eighty-seven thousand, three hundred nine
90,000,000,000 + 0 + 100,000,000 + 70,000,000 + 5,000,000 + 0 + 80,000 + 7,000 + 300 + 0 + 9

you are lying 120 ft away from a tree that is 50 feet tall you look up at the top of the tree approxmaelty how far is your head from the top of the tree in a straight line

Answers

check the picture below.

What is 120.571 in expanded form?

Answers

Hi there,

 100 +20 +0 + 0.5+ 0.07+ 0.001

Hope this helps :)

Solve the equation V=1/3 Bh for B

Answers

v=1/3Bh
multiply both sides by 3over 1 
3/1V=bh 
because 3/1 and 1/3 cancel out 
then divide by h 
so your h cancels out and your answer is 
(3/1V)/h = B

To solve the equation V = 1/3 Bh for B, multiply both sides by 3 to eliminate the fraction and then divide by h, resulting in B = 3V/h.

The equation given is V = 1/3 Bh, where V represents volume, B is the area of the base of the three-dimensional figure, and h is the height. To solve for B, the area of the base, you need to isolate B on one side of the equation. Follow these steps:

Multiply both sides of the equation by 3 to get rid of the fraction on the right-hand side, resulting in 3V = Bh.Next, to solve for B, divide both sides of the equation by h, which gives you B = 3V/h.

Therefore, the formula B = 3V/h is used to calculate the base area B given the volume V and height h of the figure.

Which of the following give an equation of a line that passes through the point (6/5,-19,5) and is parallel to the line that passes through the organ and point (-2,-12)

A. y= 6x-11
B. y= 6x-19/5
C. y= 6x-6/5
D. y= 6x+1

Answers

parallel lines, have the same slope, so the slope of the line through 0,0 and -2,-12, is the same as for the line running through (6/5,-19.5) as well, so what is it anyway?

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ 0}})\quad % (c,d) &({{ -2}}\quad ,&{{ -12}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-12-0}{-2-0}\implies \cfrac{-12}{-2}\implies 6[/tex]

so, we're looking for the equation of a line whose slope is 6, and goes through (6/5,-19/5)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ \frac{6}{5}}}\quad ,&{{ -\frac{19}{5}}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 6 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\left( -\frac{19}{5} \right)=6\left(x-\frac{6}{5} \right) \\\\\\ y+\cfrac{19}{5}=6x-\cfrac{36}{5}\implies y=6x-\cfrac{36}{5}-\cfrac{19}{5}\implies y=6x-\cfrac{55}{5} \\\\\\ y=6x-11[/tex]

7x300=7x blank hundreds

Answers

Hello There!

7 x 300 = 7 x three hundreds

Hope This Helps You!
Good Luck :) 

- Hannah ❤
Hey there!

7 x 300 = 7x three hundreds

Hope this helps! :)

Don't understand how to do the graph

Answers

this question is asking you to show how adding two more students with the score of 80 will affect the graph and its growth. 

Megan Mei is charged 2 points on a $120,000 loan at the time of closing. The original price of the home before the down payment was $140,000. How much do the points in dollars cost Megan? A. $4,200 B. $2,800 C. $8,200 D. $2,400

Answers

1 point  = 1% of the loan.
The loan is $120,000.
Therefore 2 points cost 0.02*$120,000 = $2,400

Answer: D. $2,400

Answer:  Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Amount of original price of the home before the down payment = $140000

Amount of loan at the time of closing = $120000

Megan Mei is charged 2 points on that amount means

[tex]2\%\ on\ \$120000\\\\=\frac{2}{100}\times 120000\\\\=0.02\times 120000\\\\=\$2400[/tex]

Hence, Option 'A' is correct.

Are all rectangles similar

Answers

Yes all rectangles are similar but not all are equal, (geometry)
yes. All rectangles are similar no matter how big or small they are (of course, they have to stay as a rectangle)

hope this helps

What is the slope and y intercept of y=-27.4x

Answers

[tex]y = mx + b[/tex]

This is slope intercept form, where m is the slope and b is the y - intercept. If we compare the to our equation:

[tex]y = -27.4x + 0[/tex] (we can add a 0, because 0 dosen't change the value)

In this case:

[tex]m(slope) = -27.4 ; b(y-inter) = 0[/tex]

Hope this helps!

Evaluate 5 c - 3 d+11 when c= 7 and d= 8

Answers

5x7-3x8+11
35-24+11
11+11
The answer is 22
the answer is 11 because you just plug in the numbers for the letter variables and solve 

Where does the graph of the linear equation, y = 1/2 x - 3, cross the y-axis?

Answers

negative 2 is where it crosses



You solve the equation by choosing x=0, as x will always be zero, when a line crosses the y-axis
y = 0,5x-3 = 0,5*0-3= -3

jody has 2 red marbles 6 blue marbles and yellow marbles what is the ratio to red to blue

Answers

1 to 2
is the answer because 2/6 simplifies to 1/2 which would be the ratio of 1:2.

3.5 x 10^4 write the following number in standard form (decimal).

Answers

Answer:

35,000

Step-by-step explanation:

If two non collinear segments in the coordinate plane have slope 3 what can you conclude

Answers

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

lim x→25 x−25 /√x−5

Answers

Final answer:

The solution involves multiplying by the conjugate of the denominator to simplify the expression, leading to the finding that the limit as x approaches 25 of (x-25)/(√x-5) equals 10.

Explanation:

The question asks to evaluate the limit lim x→25 (x−25)/(√x−5). At first glance, directly substituting x = 25 into the equation would lead to a 0/0 form, indicating a need for algebraic manipulation to resolve the indeterminate form.

To simplify, we can multiply the numerator and the denominator by the conjugate of the denominator, which is (√x + 5). This approach is helpful in dealing with limits that involve square roots.

Following this step:

Multiply both the numerator and denominator by (√x + 5).

The numerator becomes (x - 25)(√x + 5).

The denominator turns into x - 25 after applying the difference of squares.

Simplify to get (√x + 5), since (x - 25) in numerator and denominator cancel out.

Finally, substitute x = 25 into the simplified form to get 10 as the answer. Therefore, lim x→25 (x−25)/(√x−5) = 10

christie decided to make bracelets for her class. two-fifths of the bracelets were done on Monday and three-sevenths were done on Tuesday what part of the bracelets are finished?

Answers

[tex]\bf \stackrel{Monday}{\cfrac{2}{5}}+\stackrel{Tuesday}{\cfrac{3}{7}}\impliedby \stackrel{LCD}{35}\implies \cfrac{14+15}{35}\implies \stackrel{done}{\cfrac{29}{35}}[/tex]

Graph parallelogram ABCD on a coordinate plane with vertices A(3,4) B(6,1) C(0,-2) and D(-3,1).
Find the slope of each side.
What do you notice about the slopes?

Answers

SLOPES

AB = (1 - 4) / (6 - 3) = -3 / 3 = -1
BC = (-2 - 1) / (0 - 6) = -3 / -6 = 1/2
CD = (1 - (-2)) / (-3 - 0) = 3 / -3 = -1
DA = (4 - 1) / (3 - (-3)) = 3 / 6 = 1/2

EXPLANATION

Every line has one side parallel to it and I know this because the slope is equal.

A parallelogram, the opposite sides have equal slopes.

To graph the parallelogram ABCD on a coordinate plane, we can plot the given points A(3,4), B(6,1), C(0,-2), and D(-3,1), and then connect them in order to form the parallelogram.

Here are the steps to find the slope of each side:

Plot the Points:

Plot the points A(3,4), B(6,1), C(0,-2), and D(-3,1) on the coordinate plane.

Connect the Points:

Connect the points in order (A to B to C to D to A) to form the parallelogram.

Find the Slope:

The slope of a line passing through two points

(x_1 ,y_1 ) and (x_2 ,y_2 ) is given by the formula m= y_2 -y_1/ x_2- x_1

​Calculate the slope for each pair of consecutive points:

Slope of AB: mAB​ = 1−4/6−3

​Slope of BC: mBC = −2−1/0−6

​Slope of CD: mCD = 1−(−2)/−3−0

​Slope of DA: mDA = 4−1/ 3−(−3)

​Now, observe the slopes:

mAB  and mCD

​are the slopes of opposite sides. They should be equal for a parallelogram.

mBC and mDA are the slopes of the other pair of opposite sides. They should also be equal for a parallelogram.

So, for a parallelogram, the opposite sides have equal slopes.

For the data in the table does y vary directly with x? X=16,32,48-Y=4,16,36

Answers

Data:

x          y

16        4

32      16

48      36

Direct relation means that the ratio y / x is constant.

So, let's examine this ratio:

Ratio y / x

4/16 = 1/4

16/32 = 1/2

36/48 = 3/ 4

Given that the ratio y/x is not constant, the conclusion is that  y does not vary directly with x.
I'm doing the same test.. what are the answers ?

Use the equation v=10/p to determine the pressure when the volume is 12 liters

Answers

v = 10/p
12 = 10/p
10/12 = 5/6 or 0.83 (3 repeating)
so p = 5/6 or 0.83 (3 repeating)

Sent a pic of the solution (s).

For commission as a realtor, Michelle earns $349 plus 3% of the purchase price for each home she helps buy or sell. If she earned $8,965 in commission on a certain home, find its purchase price.

ANSWER:
$8965- $349= $8616
3/100x= 8616
8616 x 100/ 3= $287,200.

I'm posting this because somebody inboxed me asking for help and before I even got to help them, they deleted the inbox and i couldn't remember their name. I hope you see this and benefit from it, sorry!

Answers

Well, let us solve this step by step.

We know that Michelle earns 349 plus 3% of the Purchase price. Let us call the Purchase price as P, so that:

 

Earnings, E = 349 + 0.03 P

 

So if she earns 8,965 (E = 8,965) so we can find P:

 

8,965 = 349 + 0.03 P

0.03 P = 8,616

P = $287,200

Final answer:

Michelle's total commission from a house sale was $8,965, from which $349 is a fixed commission. The rest, $8616, represents the 3% of the selling price of the house. By solving the simple equation $8616 = 0.03 * X, we find that the home price is $287,200.

Explanation:

This problem is a simple, but common, practice in the world of linear equations. The first step is to understand that the base commission of $349 is a constant that Michelle earns every time, whilst the remaining part of her commission comes from the 3% percentage of the sale price. After subtracting the base commission from the total commission, we get a value of: $8965 - $349 = $8616. This value is equal to 3% of the house price.

We can express this as: 8616 = 0.03 * X, where X is the value of the house. By isolating X (the house price), we divide both sides by 0.03 to get the house price. Therefore, the home price would be $8616 / 0.03 = $287,200.

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Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?

7.98 × 45.67 = 3,644.466
12.3 × 3.8 = 467.4
0.45 × 2.3 = 1.035
14.22 × 2.8 = 398.16

Answers

B??????????????????????????????????????

Answer:

Option 3 -   [tex]0.45\times2.3= 1.035[/tex]

Step-by-step explanation:

To find : Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?

Solution :

The correct placement of decimal in product is based on the number of digits after decimals as the number of digits after decimal of one number added to number of digits after decimal of second number is the required place in the result a decimal place.

1) [tex]7.98\times 45.67 = 3,644.466[/tex]

Not correct, decimals are 4 so place after 4 numbers.

2) [tex]12.3\times3.8= 467.4[/tex]

Not correct, decimals are 2 so place after 2 numbers.

3) [tex]0.45\times2.3= 1.035[/tex]

Correct, decimals are 3 so place after 3 numbers.

4) [tex]14.22\times2.8= 398.16[/tex]

Not correct, decimals are 3 so place after 3 numbers.

Therefore, option 3 is correct.

on monday 2/3 of the team practiced tuesday 7/8 wednesday 1/2 and thurday 3/4 on which day were the most team memebers present at practice

Answers

Monday: 2/3

Tuesday: 7/8

Wednesday: 1/2

Thursday: 3/4

You have to compare the fractions:

There are several methods to compare fractions. I will use the conversion to a common denominator.

This is how you convert all the fractions to an equivalent form with common denominator.

The least common denominator is: 3 * 2^3 = 24

Original fraction       equivalent fraction

2/3                           2*8 / 3*8 = 16 / 24

7/8                           7*3 / 8*3 = 21 / 24

1/2                           1*12 / 2* 12 = 12 / 24

3/4                            3*6 / 4*6 = 18 / 24

Now you can compare the fractions: 12/24 < 16/24 < 18/24 < 21/24.

So, you see that the greatest fraction is 21 /24, i.e. 7/8, and the answer is the day when 7/8 of the team practiced.

Answer: Tuesday.

What is the like term for 4m+(-3n)+n? What is the like term for c+2c+c-5c+1

Answers

a) The three terms have variables m, n, n. The two like terms are the last two terms, which both have variable n: -3n, n.

b) The 5 terms have variables c, c, c, c, -. The like terms are the first four, which all have variable c: c, 2c, c, -5c.

What is the equation of the line tangent to the curve xy=4 at (2,2)?

Answers

To obtain the slope of this TL at (2,2), differentiate xy=4 with respect to x:

x(dy/dx) + y(dx/dx) = 0.  Then x(dy/dx) = -y, and (dy/dx) = -y/x.

At (2,2), this slope is -2/2, or -1.

Then the eqn of the TL to the curve xy=4 is   y-2 = -1(x-2) = -x+2

Thus, y = 2 - x + 2, or    y = -x + 4  (answer)

26×107 What is the value of the second partial product

Answers

2782 is the answer my friend

URGENT PLEASE HELP!!! I want to know HOW to solve this as well.
What is the solution to the equation?

4(3 + 7) = 4 · x + 4 · 7

A.
x = 3

B.
x = 4

C.
x = 7

D.
x = 10

Answers

Start by working inside the parenthesis first, as always.  7 + 3 = 10.  So now we have  4(10)=4×x+4×7.  We will distribute the left side and multiply to get 40.  Now we have 40 = 4 × x + 4 × 7.  Now the order of operations tells us that we have to do multiplication and division first.  We only have multiplication, between the 4 and the x, and the 4 and the 7.  Multiplying we will end up with 40 = 4x + 28.  Now subtract 28 from both sides to get 12 = 4x.  Divide by 4 to get that x = 3.  Choice A from above.

A is your anwser. Hope this Helps

It's the holiday season and you are working for a packing company that specializes in holiday fruit cakes. For Christmas this year, the number of clients requesting fruit cakes has more than tripled and orders need to be shipped prior to the New Year. Your supervisor has asked you to work 15 hours more than a normal 40 hour work week, including Christmas day, which falls on a Friday. Therefore, one of your regular 8 hour days will be paid at the holiday rate. You get paid $10.00 per hour plus you get time and a half for overtime and double pay for the holidays. What will your gross base pay be for the week?

Answers

Normal rate: $10/hr

Time and a half= $15/hr

Double pay: $20/hr

Hours to be paid at $10/hr =32 hours

$10/hr x 32hrs= $320

$20/hr x 8hrs= $160

$15/hr x 15hrs=$225

Total gross pay: $705

Final answer:

To calculate your gross base pay for the week working extra hours including a holiday, you need to consider regular pay, overtime pay, and holiday pay. The gross base pay for the week will be $785.00.

Explanation:

To calculate your gross base pay for the week, you need to consider your regular hours, overtime hours, and holiday pay. Here's how you can calculate it:

Calculate your regular pay for the 40 hours of work at the regular rate: $10.00 per hour x 40 hours = $400.00.Calculate your overtime pay for the 15 additional hours of work at time and a half: $10.00 per hour x 1.5 = $15.00 per hour. $15.00 per hour x 15 hours = $225.00.Calculate your holiday pay for the 8-hour day at double the regular rate: $10.00 per hour x 2 = $20.00 per hour. $20.00 per hour x 8 hours = $160.00.Add up your regular pay, overtime pay, and holiday pay: $400.00 + $225.00 + $160.00 = $785.00.

Therefore, your gross base pay for the week will be $785.00.

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Arlan needs to create a box from a piece of cardboard. The dimensions of his cardboard are 10 inches by 8 inches. He must cut a square from each corner of the cardboard, in order to form a box. What size square should he cut from each corner, in order to create a box with the largest possible volume?

A. 0.5 inches
B. 1 inch
C. 1.5 inches
D. 2 inches

Answers

1) Dimensiones of the cardboard:

length: 10 inches
width: 8 inches

2) dimensions of the squares cut

length: x
width: x

3) dimensions of the box:

length of the base = 10 - 2x
width of the base  = 8 - 2x
height = x

4) Volume of the box


V = (10 - 2x) (8 - 2x) x = x [80 - 20x - 16x + 4x^2] = x [ 80 - 36x + 4x^2 ] =

V = 80x - 36x^2 + 4x^3

5) Maximum volume => derivative of V, V' = 0

V' = 80 - 72x + 12x^2 = 0

6) Solve the equation

Divide by 4 => 3x^2 - 18x + 20 = 0

Use the quadratic formula: x = 1.47 and x = 4.53 (this is not valid)

So, the answer is the option C. 1.5 inches.

Sue uses the expression ( 8 x 3,000) + ( 8 x 200) + (8 x 9) to help solve a multiplucation problem what is Sue's multiplucation problem?

Answers

this is pretty easy for me since I'm in 6th grade but sues multiplication problem is:8×3,209.explination: it's 3,000 add 200 to that which is 3,200 and add a 9 which is 3,209

Answer:

Sues problem would be - 8×3,209 :8×3,209

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