Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$690​, how many of each denomination does he​ have?
How many $10 coins does he have?
How many $20 coins does he have?

Answers

Answer 1
He has twenty nine $10 coins and twenty $20 coins

Let x be number of $10 coins and y be number of $20 coins
x + y = 49. Number of coins
10x + 20y = 690. Value of coins

Multiply the first equation by 10
10x + 10y = 490

Subtract from the second equation
10y = 200
y = 20

Substitute into equation 1
x + 20 = 49
x = 29

Related Questions

What's the surface area of this figure? Pick one of the options.

Answers

197 in^2

Just find the area of each face in the figure.

These are the formulas I used:

Formula for area of trapzoid:
(a + b/ 2) x height

Formula for area of rectangle:
length x width

Formula for area of square:
Length x width

Hope this helps!



First, How many sides does it have?
Second, What do you do to find the area of a surface? (Square or rectangle)
Third, Add up all of the sides.

1: 6

2: multiply the length and width
(I am just doing the sides in a random order)

Top side: 5 x 5 = 25
Left side: 5 x 5 = 25
Right side: 6.4 x 5 = 32
Bottom side: 9 x 5 = 45
Front side: (14 x 5) divided by 2 = 35
Back side: (14 x 5) divided by 2 = 35

3: 25 + 25 + 32 + 45 + 35 + 35 = 197

Answer: 197

Hope this helps :D

HELP PLEASE!!!!

By which rule are these triangles congruent?

A) AAS

B) ASA

C) SAS

D) SSS

Answers

Answer:

ASA

Step-by-step explanation:

Both triangles contains two angles which indicate that it can only be the top 2 options.

Suri and Carter want to start saving for the future. they each invest $4,000 into a certificate of deposit account. suri's investment earns 3% interest compounded annually. Carter's investment is 3% simple interest. ​

Answers

Two formulas:

Compound interest - A = P(1 + r/n)^nt

Simple interest = A = P(1 + rt)

A - final amount

P - initial principal balance

r - interest rate

n - number of times interest applied per time period

t - number of time periods elapsed

Suri --

A = 4,000(1+0.03/1)^5

A = $4,637.09

Carter --

A = 4,000(1+0.03*5)

A = $4,600

In 5 years, Suri makes $37.09 more than Carter

ASAP:

Consider the word pROPOSITION. How many five letter words can be formed if two letters are alike and three letters are different? Consider the cases.

Answers

Answer:

The letters M, N, A , E appear twice and G, T appear once.

So, the first case was where all the letters were different, thus, the number of words formed were:

6C5 . 5!(further permutation) = 720

the second case was where there were two groups of two alike letters and one different letter. Thus, the number of words formed were:

2C1 . 4C2 . 3! = 72

the third case was where there were one group of two alike letters and three different letters.

Thus, the number of words formed were:

4C1 . 5C3 . 4!= 960

thus, the total number of words were:

720 + 72 + 960 = 1752

but this answer is wrong as the Real answer is 1824.

Step-by-step explanation:

HELPPPP I need help with this question!!!!

Answers

I think the 4th one but Im not too sure please forgive me if I'm wrong.

please help! (listing BRAINLIST and giving points) ​ :)​

Answers

Answer:

sin∅ = 12/13

Step-by-step explanation:

use pythagorean theorem to find the missing side

a² + 5² = 13²

a² = 13² - 5²

a² = 169 - 25

a² = 144

a = 12

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

Sin∅ = opp/hyp

sin∅ = 12/13

Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e. "/"). If the slope is undefined, enter "undefined."

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The slope of a horizontal line is zero (0). For any finite "run", the "rise" is zero.

  slope = rise/run = 0/run = 0

A collection of 39 coins consists of dimes and nickels. The total value is ​$2.75. How many dimes and how many nickels are​ there?

Answers

Answer:

23 nickels and 16 dimes

Step-by-step explanation:

16 dimes = 1.60

23 nickels = 1.15

1.60 + 1.15 = 2.75


Write the number 2.4 in the form
A/B, using integers,

Answers

Answer:

[tex] \frac{12}{5} [/tex][tex]2 \frac{2}{5} [/tex]

Step-by-step explanation:

Convert to simplified fraction:

Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Convert to Mixed fraction:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.

[tex]2 \frac{4}{10} [/tex]

Reduce the fractional part of the mixed number.

[tex]2 \frac{2}{5} [/tex]

Hope it is helpful...

can someone answer this i’ll give u a cookie PLEASE I NEED IT NOW

Answers

Answer:

its c

Step-by-step explanation:

If x=4 and y=5. The value of 3x-5y​

Answers

Answer:

13, I believe :)

Step-by-step explanation:

3(4)-5(5)

multiply by the coefficient

=12-25

=-13

Can y’all help me on question 13?!

Answers

Answer:

90 cm²

Step-by-step explanation:

The shape can be divided in three rectangles.

Area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

✔️Area of rectangle 1 = L*W

L = 5 cm

W = 3 cm

Area = 5*3 = 15 cm²

✔️Area of rectangle 2 = L*W

L = 6 + 5 + 1 = 12 cm

W = 5 cm

Area = 12*5 = 60 cm²

✔️Area of rectangle 3 = L*W

L = 5 cm

W = 3 cm

Area = 5*3 = 15 cm²

✅Area of the shape = 15 + 60 + 15 = 90 cm²

Help plz I’m so confused

Answers

answer is 6/7
u never multiply the bottoms only the top so it will give u 6 since theyre both negatives
-
answer = 6/7

Answer and Step-by-step explanation:

Simply multiply the numerator by the numerator, and the denominator by the denominator.

[tex]-\frac{2}{7}[/tex] × [tex]-\frac{3}{7}[/tex] = [tex]\frac{6}{49}[/tex]

#teamtrees #PAW (Plant And Water)

The probalityof raining today is 30% what is the probality tha it will nat rain?

Answers

70% Because 100-30=70

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
O 1+√211
O-1+ 19;
O 1+2 V19;
O 1+ 19;

Answers

Answer:

1 ± √19i

Step-by-step explanation:

help me plz plz!! It's due tomorrow will Mark u as BRAINLIEST

Answers

Answer: Mean(Mia)=34.33 Mean(Sophia)=35.667

Sophia's phone calls on average, are longer in length than Mia's phone calls.

Step-by-step explanation:

I don’t understand if anyone can explain?

Answers

Answer:

Part A: 320 ft²

Part B: 2,304 ft²

Step-by-step explanation:

Part A:

Area of one triangular face of the square pyramid = ½*base*height

base = 32 ft

height = 20 ft

Area = ½*32*20

Area = 320 ft²

Part B:

Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces

= s² + 4(area of 1 triangular face)

s = 32 ft

area of 1 triangular face = 320 ft²

Total surface area = 32² + 4(320) = 1,024 + 1,280

= 2,304 ft²

cuanto es 99+85+23+1231141221+52154234+265326355

Answers

Respuesta:
1548622017

Need help if anyone can help me that’ll be nice

Answers

the answer is C.135



i hope this helped and let me know if you need help with any other questions:)
ALSO, PLS MARK THIS BRAINLIEST IF YOU CAN!!

Answer:

times up the outside bc we know the outside is the area

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

[tex] \frac{2}{3} a - \frac{1}{6} = \frac{1}{3} \\ \frac{2}{3} a = \frac{1}{2} \\ 4a = 3 \\ a = \frac{3}{4} [/tex]

Get brainly if right?
10 points!

Answers

Answer:

Tn = -13n +37

ordered list is 24, 11 , -2 , -15, -28 ,-41

A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.

Answers

Answer:  Approximately 56 inches

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

Explanation:

The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.

We'll use the tangent rule to connect the opposite and adjacent sides.

tan(angle) = opposite/adjacent

tan(13) = 13/x

x*tan(13) = 13

x = 13/tan(13)

x = 56.309186365694

x = 56 inches is the approximate horizontal distance underneath the ramp

The base of the ramp is 57 inches long.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The tangent function relates the opposite side (height) and adjacent side (base) of a right triangle to the angle of elevation.

We know the opposite side is the height of the ramp, which is 13 inches, and the angle of elevation is 13 degrees.

Let the adjacent side (the base of the ramp) be "x".

The tangent of 13 degrees is equal to the opposite side divided by the adjacent side:

tan(13) = 13/x

To solve for x, we can multiply both sides by x:

x × tan(13) = 13

Then, we can divide both sides by tan(13):

x = 13 / tan(13)

x = 13 / 0.228

x= 56.99

Therefore, the base of the ramp is 57 inches long.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Help please ASAP ASAP ASAP

Answers

Answer:

13A

Step-by-step explanation:

The distance between two points P=(px,py) and Q=(qx,qy) is d=(qx−px)2+

y = 3 sine (one-third x)

Answers

Use the form
a
sin
(
b
x

c
)
+
d
a
sin
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a
=
3
a
=
3
b
=
1
3
b
=
1
3
c
=
0
c
=
0
d
=
0
d
=
0
Find the amplitude
|
a
|
|
a
|
.
Amplitude:
3
3
Find the period using the formula
2
π
|
b
|
2
π
|
b
|
.
Tap for more steps...
Period:
6
π
6
π
Find the phase shift using the formula
c
b
c
b
.
Tap for more steps...
Phase Shift:
0
0
Find the vertical shift
d
d
.
Vertical Shift:
0
0
List the properties of the trigonometric function.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
Select a few points to graph.
Tap for more steps...
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0

y
=
3
s
i
n
(
1
3
x
)
y
=
3

(
1
3
x
)


Answer:

B on edge

Step-by-step explanation:

What is the sum of the interior angle measures of a polygon that has 11 sides?

HINT: Sum= (n-2)180

Answers

Answer:

Step-by-step explanation:

no of sides (n)=11

sum=(n-2)180

=(11-2)180

=9*180

=1620

therefore sum of the interior angles of a polygon having 11 sides id 1620°.

Answer:

n= 1620

Step-by-step explanation:

I know the answer is correct I got the exact same question during the lessons.

A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?

Answers

I think that it would take the daughter 1 hour

The daughter will take 6 hours to complete the housework if working alone.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A woman when working with her takes 2 hours to complete the housework and takes 3 hours when working alone.

Let's suppose y minutes taken by the daughter to complete the housework:

Rate for daughter = 1/x

1/3 + 1/x = 1/2

2x + 6 = 3x

x = 6 hours

Thus, the daughter will take 6 hours to complete the housework if working alone.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

How do you round off to the nearest 1000 ?​

Answers

Rule I: While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by '0'. Rule II: If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by '0' and the thousands place is increased by 1.

Step-by-step explanation:

hlo bookworm

please answer my questions??

A computer is an electronic device that manipulates information, or data. It has the ability to store, retrieve, and process data. You may already know that you can use a computer to type documents, send email, play games, and browse the Web

Discuss three contributing factors that led to the human violations of human trafficking​

Answers

Answer:

Three contributing factors that led to human trafficking

Political instability, militarism, civil unrest, internal armed conflict and natural disasters may result in an increase in trafficking. The destabilization and displacement of populations increase their vulnerability to exploitation and abuse through trafficking and forced labour.

Find the mean of the set of data: 10,12,29,2,19,42,23,23

Answers

Answer:

20

Step-by-step explanation:

mean is average

add all numbers get 160

divide by number of numbers (8) and get 20

Answer:

when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol

Given the function
()= 33 +32 −6
43 + 42 − 80
a) Find the horizontal asymptote b) Find the vertical asymptote

Answers

a is 47’ and be is 90’
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