Dave bowers collects u.s gold coins. He has a collection of 47 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $670, how many of each denomination does he have?

Answers

Answer 1

670=10(a)+20(b)

47=a+b

a is amount of $10 coins=27

b is amount of $20 coins=20


Related Questions

HELPPPP
what are the values of the variable in the triangle below?

Answers

Answer:

2nd option

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 12[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 36 ( divide both sides by 2 )

x = 18

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{12\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 6[tex]\sqrt{3}[/tex]

Its is the second option

A customer at a department store has $45.75. How many neckties can the customer buy if each tie costs $15.25? (ღ˘⌣˘ღ)

Answers

Answer:

The customer can buy 3 neckties

Step-by-step explanation

$45.75 divided by $15.25 is 3.

45.75 divided by 15.25 is 3 so the customer can buy 3 neckties. Hope this helps and please mark brainliest!

what is the measure of

Answers

Answer:

Angle B measures 116 degrees

Step-by-step explanation:

Because all the angles of a triangle add up to 180 degrees.

28 degrees + 36 degrees = 64 degrees

180 degrees - 64 degrees = 116 degrees

Answer:

116

Step-by-step explanation:

The sum of all the angles in a triangle will equal 180 degrees. SO, to find the missing angle, we have to add the two known angles together and subtract that from 180.

28 + 36 = 64

180 - 64 = 116

Therefore, the measure of the missing angle is 116 degrees.

I hope this helps! Have a lovely day! :)

This one is confusing can someone help

Answers

Answer:

A

Step-by-step explanation:

By the geometric mean theorem, 21/20=20/a -> 400/21.

And by the Pythagorean theorem,

[tex]b = \sqrt{(21 + \frac{400}{21}) - {29}^{2} } = \frac{580}{21} [/tex]

using A=Pe^rt solve

A=1,240,000
r=8%
t=30 years

what is P?​

Answers

Answer:

P= 112,490.26207887

P= 112,490 (it should be a whole number for oliy represents the number of humans)

Step-by-step explanation:

1,240,000 = P e^(0.08×30)

1,240,000 = P e^(0.08×30)

________ ____________

e^(0.08×30) e^(0.08×30)

P = 112,490.26207887

or

1,240,000 = P e^(0.08×30)

____________ ____________

11.0231763806 11.0231763806

P = 112,490.26207887

What is the answer to this question?

Answers

Answer:

you have to type it in so we can see it, but then ill solve for you

Step-by-step explanation:

Please help. I need help.

Answers

Step-by-step explanation:

a local minimum is a point, where the function left and right of this point has higher functional values.

so,

(a) at x = -3 and at x = 4 there are local minimums.

(b) the minimum functional values at these points are 1 and -2

Find the value of x.

Answers

Answer:

127 degrees

Step-by-step explanation:

Angles in a triangle add up to 180

180 - 44 - 83 = 53

Angles on a straight line add up to 180

180 - 53 = 127

Answer:

im not really sure but x may be 127 degrees?

Step-by-step explanation:

so i dont really remember but a triangle is 180 degrees

to find x we must find the value in the triangle. lets say y

y + 44 + 83 = 180

y + 128 = 180

y = 180 - 127

y = 53

the angle in the triangle is 53 degrees. so a line is...also 180 degrees... um so we do

x + 53 = 180

x = 127

.........

find the outlier for the following numbers. 15,6,4,12,13,34,3,27,6,4,3,4,4,14,4

Answers

Answer:

hope its helps you !

If x = 2 and y = -3, what is the value of 2x^2−3xy−2y^2
HELPPP

Answers

Answer:

8

Step-by-step explanation:

2(2)^2‒3(2*‒3)‒2(‒3)^2

2*4‒3(‒6)‒2(9)

8‒(‒18)‒18

8+18‒18

26‒18

8

i think it is easy to understand &i hope it will helps you

Suppose you wrote a numerical expression for the
phrase "20 minus the product of 5 and 2." To evaluate
the expression, should you subtract or multiply first?
Explain.

Answers

multiply because you use order of operations

A particle moves along the x-axis so that its acceleration a(t) is given by the graph above for all values of t where 0 must be true?

Answers

We need a acceleration time graph (Attached)

So when t is 0

a(t) has value in its y intercept .

Find y intercept by observing the point where the line crosses y axis

Now the particle is given moving along x axis means on the x axis

So acceleration remains 0 as on x axis y intercept is 0 always

10. Juanita is making necklaces to give as presents.
She plans to put 15 beads on each necklace.
Beads are sold in packages of 20. What is the
least number of packages she can buy to make
necklaces and have no beads left over?

Answers

3 bags of beads which would be 60 beads in total and would make 4 necklaces.

solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

ty! :) ​

Answers

Answer:

x^2-5x+6=0

By splitting the middle term

x^2-3x-2x+6=0

x(x-3)-2(x-3)=0

(x-2)(x-3)=0

so, roots are x=2or3.

Hope this helps uhh!!!

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 - 5x + 6 = 0}\\\\\large\text{FACTOR the LEFT SIDE of THE EQUATION}\\\\\mathsf{(x - 2)(x - 3) = 0}\\\\\large\text{SET the FACTORS to EQUAL to 0}\\\\\mathsf{x - 2 = 0\ or\ x - 3 = 0}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x = 2\ or\ x = 3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 2\ or\ x = 3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

please help me again with my algebra , Thank you ​

Answers

Answer:

1)

[tex]2x {}^{2} + 3x + 2 + 3 {x}^{2} - 5x - 1[/tex]

[tex]5 {x}^{2} - 2x + 1[/tex]

2)

[tex]x {}^{2} - 4 - (12x {}^{2} + 4x - 6)[/tex]

[tex]x {}^{2} - 4 - 12x {}^{2} - 4x + 6[/tex]

[tex] - 11x {}^{2} - 4x + 2[/tex]

3)

[tex]6x {}^{2} + 3x - 4 + x {}^{2} - 7[/tex]

[tex]7x {}^{2} + 3x - 11[/tex]

4)

[tex]7x {}^{ 3} + 4x - 1 + 2x {}^{2} - 6x + 2[/tex]

[tex]7x {}^{3} + 2x {}^{2} - 2x + 1[/tex]

5)

5x⁴-4x³-3x-4+2x⁴+6x³-2x

7x⁴+2x³-5x-4

1) Add 2x² + 3x + 2 and 3x² - 5x - 1

Just do the simple addition. Make sure to add like terms. For instance: Add 3x² with 2x² only, not with 3x and 2.

→ 2x² + 3x + 2 + 3x² - 5x - 1

→ 2x² + 3x² + 3x - 5x + 2 - 1

→ 5x² - 2x + 12) Subtract x² - 4 and 12x² + 4x - 6

The law of subtraction is to subtract the smaller value from the larger value. But it is not necessary that it is always applicable. Its value can be positive, negative and zero (which varies with the given values).

→ x² - 4 - (12x² + 4x - 6)

There will be no change in sign during addition. But if you're doing subtraction change the signs.

→ x² - 4 - 12x² - 4x + 6 [ Product of (-)(-) is (+) and (+)(-) is (-) ]

→ x² - 12x² - 4x - 4 + 6

→ - 11x² - 4x + 2

3) Add 6x² + 3x - 4 and x² - 7

→ 6x² + 3x - 4 + x² - 7

→ 6x² + x² + 3x - 4 - 7

→ 7x² + 3x - 11

4) Add 7x³ + 4x - 1 and 2x² - 6x + 2

→ 7x³ + 4x - 1 + 2x² - 6x + 2

→ 7x³ + 2x² + 4x - 6x - 1 + 2

→ 7x³ + 2x² - 2x + 1

5) Subtract 5x⁴ - 4x³ - 3x - 4 and -2x⁴ - 6x³ + 2x

→ 5x⁴ - 4x³ - 3x - 4 - (-2x⁴ - 6x³ + 2x)

→ 5x⁴ - 4x³ - 3x - 4 + 2x⁴ + 6x³ - 2x

→ 5x⁴ + 2x⁴ - 4x³ + 6x³ - 3x - 2x - 4

→ 7x⁴ + 2x³ - 5x - 4

Tickets to a school play for teachers costs $15.00, for students $5.25. what is the total cost if 2 teachers and 3 students attend the play?

Answers

Answer:

$45.75

Step-by-step explanation:

15x2=$30

5.25x3=$15.75

30+15.75=$45.75

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?

Answers

Answer:

$2.75

Step-by-step explanation:

Since x represents the number of years since 1980 to 2000 that means the ticket prices increase by 0.10 (or 10 cents) each year. This means the base price in 1980 was $2.75. To prove it, we would plug in the correct information into the expression. The number of years since 1980 would be 0 so we would plug in 0 for x. 2.75 + 0.10(0) = $2.75.

If f(–1) for the polynomial is –2, f(x) =2x^4 =2x-5 is -2 can you use the Factor Theorem to find the other factor?

Answers

The value of the function for the other factors will be -1.41  and - 3.90 respectively.

What is a factorization?

It is a method for dividing a polynomial into parts, each of which will be multiplied. At this moment, the polynomial's value will be zero.

Given function;

f(x) =2x⁴ - 2x-5

The roots (zeros) are the

x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

x≈−1.089744,1.40581409

The value of the function for the other factors;

f(x) =2x⁴ - 2x-5

f(−1.089744) = 2(−1.089744)⁴-2(1.089744)-5

f(−1.089744) = -1.41

f(x) =2x⁴ - 2x-5

f(1.40581409) = 2(1.40581409)⁴-2(1.40581409)-5

f(−1.089744) = - 3.90

The value of the function for the other factors will be -1.41 and - 3.90 respectively.

To learn more about factorization, refer to:

https://brainly.com/question/24182713

#SPJ1

50 POINTS In two or more complete sentences, define the key features of the graph below and explain how to write its equation using function notation.

Answers

Answer:

The graph is a function of absolute value.

This means that for each value of f (x) there are two possible values of x.

The absolute value function is:

f (x) = lxl

y = f (x) - 2 shifts the graph 2 units down.

y = f (x + 3) moves the graph 3 units to the right.

Finally:

The function that best fits this graph is:

f (x) = l-x + 3l-2

Step-by-step explanation:

From the graph it is evident that it is the graph of the absolute value of the function i.e. f(x) = |x| and we know that 'Translation' is a transformation that shifts the graph of a function in any direction.

Now, as we can see that the graph is shifted towards the right of the y-axis at point x=3, this means that it is translated by 3 units to the right of y-axis.

Therefore, the function becomes f(x) = |x-3|.

Furthermore, it is also shifted downwards at the point x= -2, this means that it is translated by 2 units downward from the x-axis.

Hence, the new function is f(x) = |x-3| - 2.

Determine if 16 is rational or irrational and give a reason for your answer.

Answers

16 is a rational number, this is because it is a full whole number, it can be a fraction or a ratio, for this reason we know 16 has to be rational

So just to add some easy math here. What's 29×2?​

Answers

Answer:

58

Step-by-step explanation:

29 x 2 = 58

Havea great day!!

Please rate and mark brainliest!!

The answer to 29x2 is equal to 58


If 1 is added to eight times a​ number, the result is equal to 4 more than seven times the number. Find the number.
Question content area bottom
Part 1
Write the equation using x as the variable. Choose the correct equation below.
A.
8x+1=4​(7​x)
B.
1​(8​x)=4​(7​x)
C.
8x+1=7x+4
This is the correct answer.D.
8​(x+1​)=7​(x+4​)
E.
1​(8​x)=7x+4
Your answer is not correct.
Part 2
The number is enter your response here
.

Answers

the answer to this question is c

Answer:

x=3

Step-by-step explanation:

apparently, brainly detection deleted my answer/explanation???

it wont let me show the steps, sorry

Mean, median
What is the arithmetic mean of the following numbers?
8,10, 8, 5, 4, 7,5,10,8

Answers

Answer:

8

Step-by-step explanation:

Line up numbers by order:

4, 5, 5, 7, 8, 8, 8, 10, 10

The cross out one number on each side, leading to the median of 8

Glenn can make 8 flyers in 35 mins.How long will it take him to me 50 flyers?

Answers

Answer:

175 minutes :)

have a good day !

Step-by-step explanation:

Given x is an integer, when x is rounded off to 1 significant figure, the answer is 40. Write as a fraction, the ratio of the least possible value of x to the largest possible value of x.​

Answers

Answer:  35/44

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

Explanation:

Let's consider the number 39

We have 2 nonzero digits here, so we have 2 significant figures (sig fig for short).

The goal is to round this to one sig fig instead of two. The question is: do we keep the 3 or keep the 9 instead?

The answer is that we keep the 3 and toss the 9, but the 9 will mean we bump the 3 up to 4.

So 39 bumps up to 40 where the 0 is not a sig fig (review the many sig fig rules about how to deal with zeros). The zero is just a placeholder to help determine the magnitude of the number.

In other words, 39 is closest to 40 rather than 30. We can think of "40" as "4 tens" and even drop the unit "tens" to focus solely on that 4. It would be implied we're talking about the tens unit from then on. You hopefully agree at this point we definitely have one sig fig to focus on.

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

If we repeated the last set of steps for the number 38, then it also rounds to 40 when rounding to one sig fig. The same goes for 37, 36, and 35.

The values 35, 36, 37, 38, 39 all round to 40 when rounding to one sig fig.

Doing the same type of logic, but on the upper side of 40, we have the values {41,42,43,44} also rounding to 40. The value 45 won't work because it rounds to 50 instead.

Therefore, x can be any of the following integers:

35,36,37,38,39,40,41,42,43,44

and they all round to 40 when rounding to one sig fig.

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

The last step is to divide the smallest item of the last list mentioned over the largest item

35/44

The numerator and denominator have no factors in common other than 1. So the fraction cannot be further reduced.

I need help with this question

Answers

Answer:

The X-coordinate is -7

Step-by-step explanation:

What is the volume?
4 ft
7 ft
4 ft

Answers

Answer:

112

Step-by Step:

4 times 4 is 16, and 16 times 7 is 112.

175.5 — 12.7 =
PLEASE HELP

Answers

Answer:

175.5-12.7=162.8

Answer:

I got you just plz rate a five star and Thanks Your answer sir is 162.8

Step-by-step explanation:

Which equation is equivalent to the given equation?
7m + 11 = : -4(2m + 3)
O A.
15 m = -23
B.
-m = -1
C.
-m = 1
D.
- 15 m = -23

Answers

Answer:

B

Step-by-step explanation:

7m+11= -4 x 2m + (-4 x 3)

7m +11 = -8m -12

7m +8m = -12-11

15m = -23

Answer:

A: 15m= -23

Step-by-step explanation:

What color is the grass

Answers

what color is the grass

Green. Thanks for the points

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