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Paraphin [41]
3 years ago
12

If a bag contains 12 quarters, 6 dimes, and 18 nickles, what is the part-to-whole ratio of quarters to all coins?

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
4 0
12:36 (12 quarters +6 dimes +18 nickles = 36 coins in total.)
So ... 12/12 = 1 , 36/12 = 3
So the answer is B.) 1:3
kolezko [41]3 years ago
4 0

Answer:

I think the answer is D)1:6

Step-by-step explanation:

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If g(x) = 3x − 4, what is the value of g−1(g(13))?
Vsevolod [243]
The function g(x) = 3x-4 is a linear function. Therefore the inverse does exist (which is also linear)

Because we have an inverse, this means we can use the rule 
g^{-1}(g(x)) = x

Replace x with 13
g^{-1}(g(x)) = x
g^{-1}(g(13)) = 13

The answer is choice D

7 0
3 years ago
Read 2 more answers
ALGEBRAIC PROOF!!!! PLS HELP!!! The area of a rectangular blanket is 20 square feet. The blanket's length is (2x + 1) ft and the
Fynjy0 [20]

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

7 0
3 years ago
Can anyone solve the last question?
sesenic [268]
As stated in (i), the equation of the line is: ln y = -0.015x + .26
(By the way, I checked your answers for parts (i) and (ii) and they are both correct)

(iii)
Plug in (1.1) for y and solve:
ln (1.1) = -0.015x + .26
0.095 = -0.015x + .26
-0.165 = - 0.015x
 10.979 = x

Answer: x = 10.979
7 0
3 years ago
A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4
svetlana [45]

Answer:

32% of the tub will be filled after 8 minutes. Hope this helps!

Step-by-step explanation:

4x8= 32

8 0
3 years ago
Read 2 more answers
The third term in an arithmetic sequence is 14 and the fifth term is 20. If the first term is a1, which is an equation for the n
Kruka [31]

Answer:

The equation for nth term is 3n + 5.

Step-by-step explanation:

Let a1 be a,

a3 = a + (n - 1)d

or, 14 = a + (3 - 1)d

so, 14 = a + 2d

Now,

a5 = a + (n - 1)d

or, 20 = a + (5 - 1)d

or, 20 = a + 4d

now,

a + 4d = 20

a + 2d = 14

now,

a + 4d - ( a + 2d) = 20 - 14

or, a + 4d - a - 2d = 6

or, 2d = 6

so, d = 3

Now,

a + 2d = 14

or, a + 2(3) = 14

or, a = 14 - 6

so, a = 8

Now,

an = a + (n - 1)d

or, an = 8 + (n - 1)3

or, an = 8 + 3n - 3

so, an = 3n + 5

5 0
2 years ago
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