Immanuel was able to save 130 coins in 25- and 5-centavo denominations in a coco shell. if the AMOUNT OF THE SAVINGS IS 20.50 Pesos, how many of each kind are there?

Answers

Answer 1

Answer:

70    25 centavo pieces

60    5 centavo pieces

Step-by-step explanation:

Let x = number of 25 centavo pieces

y = number of centavo pieces

The total number of pieces is 130

x+y = 130

The total amount is 20.50

.25x+.05y =20.50

Solve for y

x+y = 130

y = 130-x

Substitute into

.25x+.05y =20.50

.25x +.05(130-x) = 20.50

Distribute

.25x +6.5-.05x = 20.50

Combine like terms

.2x +6.5 = 20.50

Subtract 6.5 from each side

.2x +6.5-6.5 = 20.5-6.5

.2x =14

Divide each side by .2

.2x/.2 = 14/.2

x = 70

Now we can solve for y

y = 130-x

y = 130-70

y = 60

Answer 2

Answer:

25-centavo: 70 coins

5-centavo: 60 coins

Step-by-step explanation:

x + y = 130

25x + 5y = 2050

5x + y = 410

y = 410 - 5x

x + 410 - 5x = 130

4x = 280

x = 70

y = 410 - 5(70) = 60


Related Questions

find the sum of−2 5/10 and−5 4/15. then, in two or more complete sentences, explain the steps you used to add the mixed numbers.

Answers

Answer:

- 7 23/30

Step-by-step explanation:

-2 5/10 + -5 4/15

First simplify the fractions if possible

-2 1/2 + -5 4/15

Then, we need to get a common denominator

The common denominator in this case is 30

-2  1/2*15/15  + - 5 4/15*2/2

-2 15/30 + -5 8/30

Since the signs are alike we add

First the whole numbers

2+5 =7

Then the fractions

15/30+8/30 = 23/30

Add the fraction and the whole number together

7 23/30

Take the sign

- 7 23/30

If the fraction was improper, we would change it to a mixed number and add the whole numbers together

Final answer:

To find the sum of −2 5/10 and −5 4/15, convert them to improper fractions, find a common denominator, add them with the negative signs, and simplify if needed, resulting in −7 23/30.

Explanation:

To find the sum of −2 5/10 and −5 4/15, we first convert the mixed numbers into improper fractions. The first step is to add the whole numbers together, and then add the fractions separately.

Since both numbers are negative, when we add them, the answer will also have a negative sign, following the rule that when two negative numbers add, the answer has a negative sign. We find the common denominator for the fractions, which in this case is 30, and convert them accordingly. After adding the converted fractions, we simplify the result if possible.

To illustrate, for the whole numbers: −2 + (−5) = −7. For the fractions: −(5/10 × 3/3) + −(4/15 × 2/2) = −(15/30) + −(8/30) = −(23/30). Thus, the sum is −(7) − (23/30) or −7 23/30.

What does a machine change to make work easier? Select three options.
the amount of work done
the amount of force applied
the time needed to do the work
the direction of a force
the distance over which a force is applied

Answers

Answer: the amount of force applied

The direction of a force

The distance over which a force is applied

The machine will work easier when force, the direction of the force and the displacement increased. Options B, D, and E are correct.

What is Work?

It is defined as the transfer of energy from one object to the other.

The work is equal to the product applied Force and the displacement.

The formula of the work is,

W = Fs

Where

W = work

F = force

s = Displacement

Therefore, the machine will work easier when force, the direction of the force and the displacement increased.

Learn more about work here:

brainly.com/question/13063512

#SPJ2

a and b are positive integers and a−b = 2. Evaluate the following:

4^(1/2a) / 2^b

Answers

Answer:

4

Step-by-step explanation:

4^(1/2a)/2^b

[tex]\frac{4^{\frac{1}{2} a} }{2^b}\\=\frac{(2^{2})^{\frac{1}{2}a} }{2^b}\\=\frac{2^{2 \times \frac{1}{2}a } }{2^b} \\=\frac{2^a}{2^b} \\=2^{a-b} \\=2^2\\=4[/tex]

1. What is the center and radius of the circle?
(x-4)² + (x-7) ² - 49

Answers

Answer:

Center at (4, 7) and radius is √49, or 7

Step-by-step explanation:

Didn't you mean (x-4)² + (y-7) ² = 49?

Comparing          (x-4)² + (y-7) ² = 49

to                          (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k)  =>  (4, 7) and that the radius is √49, or 7.

Write a polynomial f(x) that satisfies the given conditions.

Polynomial of lowest degree with zeros of

(multiplicity 2) and

(multiplicity 1) and with f(0) = -1.

Can someone do this?

Answers

Answer:

[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]

Step-by-step explanation:

Recall, if we have a polynomial of the form [tex](x-a)^k \cdot (x-b)^m[/tex], then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form [tex](x+5)^10(x-2)^3[/tex] -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial,  just add the multiplicity of both zeros (13 in our example).

In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form

[tex]f(x)=(x-a)(x-b)^2)[/tex].

In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that

[tex] f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2[/tex].

Which implies that [tex] 1 = a\cdot b^2[/tex]. Since the square of any number is a positive number, it must happen that a>0. So, we have that

[tex]b= \pm \sqrt[]{\frac{1}{a}}[/tex].

We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be

[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]

which we can easily check that f(0)=-1.

In the figure below, BD and EC are diameters of circle P. What is the arc measure of AE in degrees?
Pls helppp

Answers

Answer:

27°

Step-by-step explanation:

Since BD is a diameter then arc BD = 180°

∠ APE = 180° - (90 + 63)° = 180° - 153° = 27°

The measure of the arc AE is equal to the angle at the centre subtended by it.

arc AE = ∠ APE = 27°

What’s the answer?
^^^^^^^^^^^^^^
(PLEASE ANSWER NOW)

Answers

Hey there!

Solving for equation: y = 9x + 2

Replace (for now) 9x + 2 for y in the equation: y = 3x + 12

y = 3x + 12

↪ 9x + 2 = 3x + 12

ADD by -3 on both of your sides

9x + 2 + (-3x) = 3x + 12 + (-3x)

If you solved that correctly you should get: 6x + 2 = 12

ADD by -2 on both of your sides

6x + 2 + (-2) = 12 + (-2)

Cancel out: 2 + (-2) because it gives you 0

Keep: 12 + (-2) because it helps us solve for our x-interpret

12 + (-2) = 10

NEW EQUATION: 6x = 10

DIVIDE by 6 on your sides

6x/6 = 10/6

Cancel out: 6x/6 because it gives you 1

Keep: 10/6 because it helps us solve for our x-intercept

10/6 = 10÷2/6÷2 = 5/3

Thus our x = 5/3

Solving for y = 9x + 2

Replace x with 5/3 since we found our x

y = 9(5/3) + 2

9(5/3) = 15

15 + 2 = 17

Thus our y = 17

Overall answer: a = 5/3 & y = 17 ✅ (Option D)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

What is the slope of the line shown?
a. slope = 2
b. slope= 1/2
c. slope = -1
d. slope= 1

Answers

Answer:

the answer is b, 1/2.

Step-by-step explanation:

1-0 divided by 4-2 is 1/2

a. 2

Because rise over run

Help please.Round to the nearest hundredths

Answers

Answer:

2637.00 cubic feet

Step-by-step explanation:

Given object is a hemisphere:

Volume of hemisphere is given as:

[tex]V = \frac{2}{3} \pi {r}^{3} \\ \\ =\frac{2}{3} \times 3.14 \times {(10.8)}^{3} \\ \\ = \frac{2}{3} \times 3.14 \times 1,259.712\\ \\ = \frac{2}{3} \times3,955.49568 \\ \\ = \frac{7,910.99136}{3} \\ = 2,636.99712 \: {ft}^{3} \\ = 2637.00\: {ft}^{3} [/tex]

Find the equation of the line.
Use exact numbers.
y=___x+_____

Answers

Y= 4x -9


-9 is the Y intercept and 4/1 is your slope

|
Find the amplitude and period of f(t)= 1/2sin3t

Answers

Answer:

Step-by-step explanation:

hello :

note : y = A sin(Bt + C) + D

• amplitude is A

• period is 2π/B

in this exercice : f(t)= 1/2sin3t

amplitude is A =1/2

period is 2π/3

PlEASE HELP PRONTO WIL GIVE BRANLIEST!!!
Kevin drew a picture of a house and then built a model. The x-axis shows the size of different segments in the drawing, and the y-axis shows the size of the same segments in the model.
Write an equation showing the relationship between x and y.
A) y = 2x
B) y = x + 2
C) y = x + 3
D) y = 1/2x

Answers

A) y = 2x, i thinkkkk

Answer:

(A) y = 2x

Step-by-step explanation:

hope this helps

Mary is creating valentine’s Day card for her friends and can choose from white,red,or pink construction paper to create a heart.On the heart she can use a black blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.Wh is the probability that her valentine to her friend will be on either red or pink construction paper with. black market and gold glitter?

Answers

Answer:

(1/9)

Step-by-step explanation:

Mary can choose from white,red,or pink construction paper to create a heart.

And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.

The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.

The probability that she uses red or pink construction paper = (2/3)

(since red or pink are two out of the total 3 sample spaces available for construction paper)

Probability that she uses black marker = (1/3)

(Black is one of the 3 sample spaces for markers)

Probability that she uses gold glitter = (1/2)

(Gold glitter is one of two sample spaces for glitters)

The required probability is then

(2/3) × (1/3) × (1/2) = (1/9)

Hope this Helps!!!

A contractor has $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each. What is the greatest number of hammers the contractor can buy with the money he has remaining?

Answers

Answer:

4 hammers

Step-by-step explanation:

step 1

Find out the greatest number of doors that the contractor could buy

Divide the total amount by the cost of each door

so

[tex]\$3,285/\$75=43.8[/tex]

That means ----> The greatest number of doors that the contractor could buy are 43

step 2

Find the remaining money

The remaining money is equal to

[tex]3,285-43(75)=\$60[/tex]

step 3

Find the greatest number of hammers that the contractor can buy with the remaining money

Divide the remaining money by the cost of each hammer

[tex]\$60/\$15=4\ hammers[/tex]

If g^2+1/g^2=51, find the positive value of g-1/g

Answers

Answer:

7

Step-by-step explanation:

Note that

(g - [tex]\frac{1}{g}[/tex] )² = g² - 2 + [tex]\frac{1}{g^2}[/tex] = 51 - 2 = 49

Take the square root of both sides

g - [tex]\frac{1}{g}[/tex] = [tex]\sqrt{49}[/tex] = 7 ← the positive value

What is the area of the figure?

20.0 yd

17.5 yd2

19.1 yd

35.0 yd2

Answers

Answer:

may be 17.5 yd2

Step-by-step explanation:

1/2 b*h

1/2 5*7

1/2 35

1*35/2

35/2

17.5

PLEASE HELPPPP!!!!!
Daniel wants to rent a two-bedroom apartment in Red Pines. The
apartment has a monthly rent of $1,100. He must pay an application fee
which is 2% of 1 month's rent, a credit application fee of $ 10, and a
security deposit of 1 month's rent. First month's rent is expected to be paid
up front. The broker charged a fee of 7% of 1 year's rent. How much is
Daniel expected to pay before he can move into the apartment?

Answers

1100x.02 =$22 application fee
Plus. $10 credit application fee
1100x 12= $13,200 1 year rent (12 months)

&13,200x .07 = $924 Broker Fed
Total to move in =$22+10+924+1100 =$2056

What is the measure of arc RS?

Answers

Answer:

60°, D

Step-by-step explanation:

(140-x)/2=40

140-x=40×2=80

x=140-80=60°

a) Convert 30 inches to centimetres.
centimetres

Answers

76.20 cm
You need to multiply the length value by 2.54

Answer:

76.2

Step-by-step explanation:

You can use a table like the one I have attached! :)







































A rectangle is 28 centimeters long and 9 centimeters wide.

What is the perimeter of this rectangle?


37 cm

56 cm

65 cm

74 cm
























































Answers

Answer:

74cm

Step-by-step explanation:

(28×2)+(9×2)

Brainliest would be appreciated

Answer:

74cm

Step-by-step explanation:

To work this out you would add all the lengths of the sides together.

1) Multiply 28 by 2.

[tex]28*2=56[/tex]

2)Multiply 9 by 2.

[tex]9*2=18[/tex]

3) Add 18 to 56.

[tex]18+56=74[/tex]

need help ASAP I don't understand this....will mark brainliest

Answers

Answer:

C

Step-by-step explanation:

All parabolas (U shaped graphs) have domains of All Real Numbers

Answer:They y axis runs up and down so on the verticle lind where is says -2 plotthe point.

Step-by-step explanation:

Subtract:

88 – (–35)
Question options:

A)

–53

B)

–123

C)

53

D)

123

Answers

Answer:

it's answer is D 123

Step-by-step explanation:

Here

88 - ( -35)

When it comes our of bracket - *- = +

So

88 + 35

= 123

Hope it will help you :)

Answer:

D ) 123

Step-by-step explanation:

88 – (–35) =

= 88 + 35

= 123

Help plz plz plz plz plz plz

Answers

Answer:

2

6

11

102

Step-by-step explanation:

1^2+2=2

2^2+2=6

3^2+2=11

10^2+2=102

Answer:

brainly have anything and everything that you need just ask the question and it will give the answer that they have

Step-by-step explanation:

y= 1/10 tan (60– 60)

Answers

Answer:

0

Step-by-step explanation:

tan(60 - 60)

tan(0) = 0

1/10 × 0 = 0

*********PLEASE I NEED HELP ********
IN 1,2,3

Answers

Not sure if this is your teacher’s preferred format, but I hope this helps.

most of the values are blank the mean ?

Answers

The mode is the value that appears most often in a data set. It is a measure of central tendency and is especially useful for describing categorical data or discrete sets. The correct answer is B. mode.

The mode, denoted as B in the options, is the value that occurs most frequently in a given data set. It is a statistical measure used to describe the central tendency of a dataset.

Unlike the mean, which calculates the average, and the median, which identifies the middle value, the mode focuses on the most recurring value. This is particularly helpful in analyzing categorical or discrete data. A dataset may have one mode (unimodal), more than one mode (multimodal), or no mode if all values occur with the same frequency.

Therefore, the mode is a valuable tool for understanding the distribution and characteristics of a dataset. (option B)

The complete question is:

The  ____ is the value that appears most often in a data set.

A. mean

B. mode

C. median

D. range

Can more than one triangle be drawn with two side lengths of 6 inches and a nonincluded angle of 60°? Explain?

Answers

Answer:

No This is an unique triangle.

Step-by-step explanation:

Given that:

Two side lengths of 6 inches

=> it is an isosceles triangle

According to the property of an isosceles triangle, the measurements of the two non-included angle are equal.

In this situation, a non included angle of 60°

=> This is an equilateral triangle because the two non-included angles and include angle ( 180° - 2 *60°)  are 60° .

This is an unique triangle.

Answer:No because you cannot form another triangle out of it. It only makes 1 shape.

Step-by-step explanation:

Abe creates a scatter plot showing students' ages on the x-axis and their heights on the y-axis. Which type (1 point)
of trend will the scatter plot show?
М.
a linear trend
a positive trend
a negative trend
no trend

Answers

The trend will be positive because as the students get older their heights tend to get taller.

Answer:

B

Step-by-step explanation:

As students grow older, they will naturally grow taller because their bodies are developing and maturing. This means that as the values on the x axis increase, the values on the y axis will also increase.

The result of these type of correlation is that there will be a line increasing to the right. This is known as a positive trend.

Hope this helps!

Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]
a.
r = 4 + cos(theta)
c.
r = 3 + 2 cos(theta)
b.
r = 2 + 3 cos(theta)
d.
r = 2 + 2 cos(theta)


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

  c.  r = 3 + 2 cos(theta)

Step-by-step explanation:

At θ = 180°, the value of r is positive, but just a fraction of the value at θ = 0°. This eliminates choices 'b' and 'd'.

Choice 'a' would give r=3 and r=5 for those two cases, but the ratio of left extent to right extent looks smaller than 3/5. A graph of choice 'c' shows it matches the given figure.

Answer:

c.  r = 3 + 2 cos(theta)

Step-by-step explanation:

Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. Choose True or False for each statement.

Answers

Answer:

because i cant see the true or false parts i can help by giving some basic answers

Step-by-step explanation:

the new length is 9 in. (4 x 2.25=9, change the percent to a decimal)because it is a square the area of the original is 16 in.^2 and the new area is 91 in.^2you change the percent to a decimal

if there are more true or false parts to this question please leave a comment with them so i can hopefully answer them.

Final answer:

Amy's printed picture, which is 225% the size of the original picture with a 4-inch side, would have a new side length of 9 inches, making it larger than the original. The statements truthfully state that the picture is larger and the size scale is 2 ¹/₄ in terms of the sides, but the area would be scaled by the square of the side scale factor.

Explanation:

When Amy prints a square picture at 225% of the original size, and the original picture has a side length of 4 inches, then the new side length can be determined by calculating 4 inches × (225/100). The correct calculation for the side length of Amy's printed picture should be 4 inches × 2.25 (or 225%) which equals 9 inches.

Therefore, the statements should be evaluated as follows:

Amy's printed picture is larger than the original picture. - TrueThe length of the side of Amy's printed picture is 2 ¹/₄ inches. - False, since the correct side length is 9 inches.Amy's printed picture is 22.5 times the size of her original picture. - False, the size in terms of area scales with the square of the scale factor.Amy's printed picture is 2 ¹/₄ times the size of her original picture. - True, if considering the scale factor of the sides, but in terms of area, it would actually be (2.25)² times the original size.
Other Questions
During this stage of normal human development the following occurs:-The first phase of adolescence when sexual maturation occurs.-It climaxes when girls first menstruate and boys show the presence of live sperm in the urine.What is this stage of human development?A) pubescenceB) adolescenceC) young childD) pre-pubescence A change over time in the inherited traits of living things is called????Please help Radar Company sells bikes for $490 each. The company currently sells 4,300 bikes per year and could make as many as 4,620 bikes per year. The bikes cost $260 each to make: $180 in variable costs per bike and $80 of fixed costs per bike. Radar received an offer from a potential customer who wants to buy 320 bikes for $460 each. Incremental fixed costs to make this order are $48,000. No other costs will change if this order is accepted.Required: Compute Radars additional income (ignore taxes) if it accepts this order. Find the number that makes the ratio equivalent to 1:9. 3: *********PLEASE I NEED HELP ********IN 1,2,3 The speed of a light wave in a certain transparent material is 0.701 times its speed in vacuum, which is 3.00108 m/s . When yellow light with a frequency of 5.231014 Hz passes through this material, what is its wavelength ???? in nanometers? |Find the amplitude and period of f(t)= 1/2sin3t "If you throw a cat out of a window, does it then become kitty litter?"The statement above is an example of aSelect one:a. aside b. pun c. tragedy d. soliloquy find the sum of2 5/10 and5 4/15. then, in two or more complete sentences, explain the steps you used to add the mixed numbers. What is the value of the monetary base, given that the value of deposits at all depository institutions equals $ 2265.83 billion, currency is $ 1144.60 billion, and bank deposits held at the Fed are $ 1422.30 billion? Iris Company has provided the following information regarding two of its items of inventory at year-end: There are 160 units of Item A, having a cost of $18 per unit, a selling price of $22 and a cost to sell of $6 per unit. There are 110 units of Item B, having a cost of $48 per unit, a selling price of $54 and a cost to sell of $4 per unit. How much is the ending inventory using lower of cost or net realizable value As The Great Gatsby opens, the narrator is thinking back upon:OA. his time in San Francisco.OB. his time on the East Coast.OC. his memories of Gatsby's parties.OD. his connection to Daisy Buchanan.OE. his connection to Jordan Baker. Good nutrition and healthy eating play a fundamental role in maintaining a healthy lifestyle.The best synonym for the word fundamental is A. essential. B. advanced. C. improved. D. additional. Many countries around the world, including Canada, have more than one officiallanguage.A. Identify the primary language spoken by most inhabitants in the shaded area on the map.B. Explain how bilingualism can have a positive impact on a country.C. Explain how bilingualism can have a negative impact on a country.D. Discuss TWO reasons, other than language, why Canada does not fit the nation-state concept. A rectangle is 28 centimeters long and 9 centimeters wide. What is the perimeter of this rectangle?37 cm56 cm65 cm74 cm Which type of editing involves looking at the big picture?A. Copy editingB. Micro editingC. Macro editingD. Big picture editing If China wished to reduce their accumulation of foreign exchange reserves they could: A. allow their currency, the yuan, to float freely in the market place. B. reduce their current account surplus by importing more goods than they export. C. undertake both of the activities identified in choices A and B. D. try their best to reduce the trade imbalances with the rest of the world. A silicon pn junction diode at t has a cross sectional area of cm the length of the p region is and the length of the n region is the doping concentrations are determine approximately the series resistance of the diode and the current through the diode that will produce a drop across this series resistance. Find the equation of the line.Use exact numbers.y=___x+_____ Which disease can destroy red blood cells?EOSWhich disease infects T cells?Which disease produces a scaly, stinging, and itchy rash on the feet?