alve.
. Tia has 25 china figures in her collection. The horse figures cost $2
each, and the cat figures cost $1 each. She paid $39 for all the figures in
the collection. How many horses and how many cats does she have?
Equations:
Solution:

Answers

Answer 1
For the equations let h represent horses and c represent cats.

The # of horses + the # of cats= 25, so the first equation would be h+c=25

$2(# of horses) + $1(# of cats)= $39, so the second equation would be 2h+c=$39

Get one of the variables in the first equation by itself, so I subtracted c from each side to get h=25-c

Plug that equation into the second equation for the variable h like this, 2(25-c) + c= $39. Solve this using order of operations and you get c=$11. Since the cats cost $1 each, then you know that there must be 11 cat figures. There are 25 figures total, so 25-11= 14 horses.

So there are 11 cats and 14 horses

Related Questions

Can someone help me with this please!​

Answers

Answer:

Step-by-step explanation:

Solve the equation: 30 = 5 + 0.5d

Answers

Answer:

d = 50

Step-by-step explanation:

30 = 5 + 0.5d ( subtract 5 from both sides )

25 = 0.5d ( divide both sides by 0. 5 )

50 = d

Is (6,3) a solution to the equation "a"? Yes or No.

Yes

No

Answers

Answer: Yes

Explanation: When plotted on the graph, equation A's line meets the point. This means it is a possible solution to equation A.

Answer:

Yes

Step-by-step explanation:

Write an equation for the line parallel to the given line that contains C.
c(3,8); y= 5/8x + 8

Answers

Answer:

x= - 64/5

Step-by-step explanation:

1- Substitute y = 0

2- Multiply both sides

3- Move the variable to the left

4- Divide both sides

2) Riddington and Greenwick are two small villages.
The population of Riddington has increased from 80 people to 120 people.
The population of Greenwick has decreased from 200 people to 120 people.
Show that Riddington has had the greater percentage change in its population.
You must show all your working.

Answers

Answer:

See below

Step-by-step explanation:

Find the amount of change in both cases and convert the change into percentage, then compare final results.

1. Riddington

Change:

120 - 80 = 40

Percent change:

40/80*100% = 50% increase

2. Greenwick

Change:

200 - 120 = 80

Percent change:

80/200*100% = 40% decrease

As we see 50% > 40% so this proves the statement.

(3x-1)•(5x-3)

find area and perimeter in feet

Answers

Answer:

21 is the answers to your question

can you simplify 4(-5+100)

Answers

380
Do 4(-5) = -20
Then 4(100) = 400
Add -20+400=380
(You have to subtract because of the negative number but the answer is positive because the bigger number in the equation is positive)

Find the volume of this cylinder if it has a diameter of 4mm and a height of
14mm.

Answers

Answer:

V≈1.76×10-7m³

Step-by-step explanation:

How do I solve this?

Answers

the model is using "t" as years after 2003, if we want to know the population in that country using that model at year 2003, then "t" must be 0, when t = 0, that's the initial population for that model.

[tex]A=920.2e^{0.005t}\implies A=920.2e^{0.005(0)}\implies A=920.2(1)\implies A=920.2[/tex]

1/2 + 2/9 + 27/53 as a fraction

Answers

Answer:

1175/954 there your answer

Which polynomials are prime? Check all of the boxes that apply.

x2 + 9

x2 – 9

x2 + 3x + 9

–2x2 + 8

Answers

Answer:

Answer:

The prime polynomials are

x² + 9

x² + 3x + 9

Step-by-step explanation:

Ryan and Carlos are getting in shape for football season. Ryan starts at 140 pounds and gains two pounds per week. Carlos starts at 195 pounds but
loses three pounds per week. In how many weeks will they both weigh the same amount, and what will that weight be? (Hint: these are y = equations)

Answers

Answer:

In 11 weeks they will both be 162lbs each

Step-by-step explanation:

What fraction of an hour is four minutes

Answers

Answer

1hr/15 mins=60 mins/15 mins=4 minutes.

Step-by-step explanation:

Evaluate and must show work
But i don’t think there is anything left to be done is there?
Please help

Answers

Answer:

  ln(x)/2 -3.810930

Step-by-step explanation:

The relevant rules of logarithms are ...

  ln(ab) = ln(a) +ln(b)

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

  ln(e) = 1

__

Your expression expands to ...

  [tex]\ln\left(\dfrac{4\sqrt{x}}{9e^3}\right) = \ln(4\sqrt{x})-\ln(9e^3)=\ln(4)+\dfrac{1}{2}\ln(x)-(\ln(9)+3\ln(e))\\\\=\dfrac{1}{2}\ln(x)+\ln(4)-\ln(9)-3\\\\\approx\dfrac{\ln(x)}{2}-3.810930[/tex]

Simplify (3x2 − 2) (2x2 − 6x 3). 5x2 − 6x 1 5x2 − 6x − 1 x2 − 6x 1 5x2 − 8x 3.

Answers

Answer:

-566

Alternative form:

-5.66 x [tex]10^{2}[/tex]

A box is 20 inches long and 21 inches high. What is the diagonal length of the box?

Answers

Answer:

29 inches

Step-by-step explanation:

Answer:

Use Pythagoras' Theorem:

c²=a²+b²

c²=20²+21²

c²=841

c=√841

c=29 inches

Step-by-step explanation:

PLEASE HELP HURRY WILL MARK THE BRAINLIEST ONLY ANSWER IF U KNOW 25 POINTS!!!what is the value expression 2⁴ plus 3²​

Answers

Answer:

25

Step-by-step explanation:

2x2x2x2=16

3x3=9

16 + 9= 25

Jimmy's height is 156 cm, Kessie's height is 168 cm, while Lya's height is 132 cm. Define:

Answers

Answer:

132<156<168 or 12×1, 12×2 ...

Step-by-step explanation:

Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy

What is the ratio in decimal form of 75 people in a 10ft X 10ft square?

Answers

Answer:

(100 ft^2) / (75 people) is a ratio:  1.3333... ft^2/person

Step-by-step explanation:

There are 75 people in a 100 square foot area.  The amount of space (floor space) is (100 ft^2) / (75 people) = 1 1/3 square feet.

(100 ft^2) / (75 people) is a ratio:  1.3333... ft^2/person

NEED HELP!! Urgently!

Answers

3x+6


Add the two sepratw ones and that the answer

Find a polynomial that represents the surface area of a sphere with a radius of (3x – 5) cm.
The surface area of a sphere is 4π^2. Leave your answer in terms of it.

Answers

Answer:

π(36x^2 - 120x + 100)

Step-by-step explanation:

4π(3x - 5)^2 = 4π[(3x)^2 - 2*3x*5 + 5^2] = 4π(9x^2 - 30x + 25)

= π(36x^2 - 120x + 100)

71.5*(-9.2)

A. –657.8
B. –65.78
C. 65.78
D. 657.8

Answers

Answer:

(A)

Step-by-step explanation:

you can multiply normally like 71.5 × -9.2 =-657.8

Find the missing lengths:
LN=
MN=

Answers

Answer:

LN=4.33

MN=5

Step-by-step explanation:

sine 60

17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please

Answers

Answer:

18.8 years

Step-by-step explanation:

8% of $2000 = $160

To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.

15x+3y=27 into slope-intercept form, simplifying all fractions.

Answers

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form is the form

y = mx + b

So you need to rearrange the terms to get the y all by itself on the left. On the right, the x term goes first and last the constant (a plain number) see image.

The first term of geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. using a table of values, how many terms are in this geometric series

Answers

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\stackrel{\textit{first term}}{-3}\\ r=\stackrel{\textit{common ratio}}{6} \end{cases}[/tex]

[tex]\stackrel{S_n}{-4665}~~ = ~~-3\left( \cfrac{1-6^n}{1-6} \right)\implies -4665=-3\left( \cfrac{1-6^n}{-5} \right) \\\\\\ -4665=\cfrac{3}{5}(1-6^n)\implies -4665\cdot \cfrac{5}{3}=1-6^n\implies -7775=1-6^n \\\\\\ -7776=-6^n\implies 7776=6^n\implies 6^5=6^n\implies \boxed{5=n}[/tex]

Answer:

  5 terms

Step-by-step explanation:

The attached table shows that the sum of 5 terms is -4665.

__

Additional comment

A table for a problem like this is easily made using a spreadsheet. Each value is 6 times the previous, and each sum is the new value added to the previous sum. The first value and the first sum are -3.

In the attached, we have simply summed the terms, each term being computed using the explicit formula for this geometric sequence.

( SHOW UR WORK) Find the value of 8.41 + 42.320

Answers

Answer:

See below.

Step-by-step explanation:

42.32

+8.41

50.73

-hope it helps

Answer:

      50.73

Step-by-step explanation:

  8.41

42.32

+_________

      50.73

Hope this helps! Have a great day!!

HELP?!?!
The shaded octagon is transformed to the unshaded octagon in the coordinate plane below.
Which statement about the transformation is true?
The unshaded octagon is a reflection because it is a flip over a diagonal line.
The unshaded octagon is a dilation because it is smaller than the shaded octagon.
The unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon.
The unshaded octagon is a vertical translation because it is directly under the shaded octagon.

Answers

Answer:

(A) The unshaded octagon is a reflection because it is a flip over a diagonal line.

Step-by-step explanation: Trust, rust, and pixie dust

Answer:

A is correct

The unshaded octagon is a reflection because it is a flip over a diagonal line.

i took the test

PLEASE HELP!!! If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse?

Answers

Answer:

tan(47)=53/z

Step-by-step explanation:

Using trig ratio tan(x)=O/A

there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)

Therefore, tan(47)=53/z

H=53theta=47°

[tex]\\ \tt\hookrightarrow tan47=\dfrac{H}{B}[/tex]

[tex]\\ \tt\hookrightarrow tan47=\dfrac{53}{B}[/tex]

[tex]\\ \tt\hookrightarrow B=\dfrac{53}{tan47}[/tex]

Please Help! ASAP. Will give Brainliest

Answers

Answer:

3 Not too sure though

Step-by-step explanation:

don't input my answer, i'm not too sure!

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