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Virty [35]
3 years ago
7

homer has 24 more marbles than lisa. lisa has 105 more than bart. if the three of them have 324 marbles in total, how many marbl

es does each of them have?
Mathematics
1 answer:
blagie [28]3 years ago
8 0
Homer has 105+24=129
lisa has 105
bart has 129+105=234
                  324-234=90

homer has 129
lisa has 105
bart has 90
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Solve for a. Please help!
Marizza181 [45]

Answer:

a = 7

Step-by-step explanation:

This is a special trig triangles. Special trig triangles are identified by their angle measures and their sides have a unique relationship. This is a 30 - 60 - 90 triangle which has sides 1 - √3 - 2 or multiples of this. This means all 30 - 60 - 90 triangles have side lengths with the pattern 1 - √3 - 2. Here the triangle has a - 7√√3 - 14. The value of a is 7 since 7*√3 = 7√3 and 2*7 = 14.

8 0
3 years ago
If $2940 is invested at 3.2% compounded quarterly, how much is in the account after 8 years?
tino4ka555 [31]

Answer:

The future value is $3793.776

Step-by-step explanation:

Given

PV = 2940 --- present value

r = 3.2\% --- rate

t = 8 --- time

n = 4 --- quarterly

Required

Determine the future value

This is calculated using:

FV = PV(1 + \frac{r}{n})^{nt

So, we have:

FV =2940 * (1 + \frac{3.2\%}{4})^{4*8

FV =2940 * (1 + \frac{3.2}{400})^{32

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FV =2940 * (1.008)^{32

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3 0
2 years ago
If 50% is 30 what is 75%​
Gemiola [76]

Answer:

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6 0
3 years ago
Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)
o-na [289]

Option C: The solution set is \{8\}

Explanation:

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Now, let us find the solution set.

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Dividing by 2 on both sides, we have,

\ln x=\frac{3 \ln 4}{2}

Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

\ln x=\frac{3 \cdot 2 \ln (2)}{2}

Simplifying, we get,

\ln x=3 \ln 2

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

x=8

Thus, the solution set is \{8\}

Hence, Option C is the correct answer.

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3 years ago
Write an equivalent expression for 2(x + 6) - 8
Dafna1 [17]
An equivalent expression would be 2x+4
4 0
3 years ago
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