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iragen [17]
3 years ago
10

Jackson has $1.50 in quarters and dimes. Let x represent the number of quarters and y represent the number of dime. Find the dom

ain and range of this situation.
Mathematics
1 answer:
QveST [7]3 years ago
8 0

Answer:

3 dimes

Step-by-step explanation:

Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)

Part B: Plug in what you DO know and solve the one you DON’T:

0.10x + 0.25(2) = 0.80

0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:

0.10x = 0.30 (Divide both sides by 0.10)

x = 3

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Find an expression equivalent to the one shown below.
TEA [102]

Answer:

  C)  1/6^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(b·c)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

_____

Using these rules, your expression simplifies to ...

  6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32

6 0
3 years ago
What is b in terms of a and c?
aev [14]

Answer:

b=\sqrt{c^2-a^2}

Step-by-step explanation:

The given relation is

c=\sqrt{a^2+b^2}

To make b the subject, we square both sides of the equation to get;

c^2=(\sqrt{a^2+b^2})^2

c^2=a^2+b^2

Isolate b on one side of the equation;

c^2-a^2=b^2

Or

b^2=c^2-a^2

We take the positive square root of both sides to get;

b=\sqrt{c^2-a^2}

6 0
3 years ago
If a person studies for 8hrs a week. How long to they work each day
Andrew [12]

Answer:

about and hour and 14 minutes each day

Step-by-step explanation:

just divide 8 by 7 and round to the nearest hundredths place

7 0
3 years ago
Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4
vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

8 0
2 years ago
5. Find the change in temperature: from -1°F to -20°F
kap26 [50]

Answer:

-19

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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