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Travka [436]
3 years ago
12

5x + 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Answer:

-9

Step-by-step explanation:

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The sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the nu
9966 [12]
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
4 0
3 years ago
Read 2 more answers
Rewrite using a fractional exponent<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B7%5E2%7D" id="TexFormula1" title=
tangare [24]

Answer:

7^{\frac{1}{3} }

Step-by-step explanation:

Using the rule of exponents

\sqrt[n]{a^{m} } ⇔ a^{\frac{m}{n} } , then

\sqrt[6]{7^{2} } = 7^{\frac{2}{6} } = 7^{\frac{1}{3} }

8 0
3 years ago
You deposit $2000 into an account that pays 6% compounded monthly. a. How much money will you have in the account after 1 year?
Masteriza [31]

We have a deposit of $2000 into an account that pays 6% compounded monthly, after a year we will have:

\begin{gathered} \text{account}_{\text{year}}=2000\cdot(1+\frac{6}{100})^{12} \\ \text{account}_{\text{year}}=4024.4 \end{gathered}

The effective annual yield (EAY) will be:

\text{EAY}=\frac{account_{year}}{2000}-1=\frac{4024.14}{2000}-1=1.0122

The EAY is 101.22%

8 0
1 year ago
An unfair coin with​ Pr[H] = 0.2 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containin
satela [25.4K]
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2. 
H - head 
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T)   = 0.8
urn
3 red and 5 blue

when heads is obtained 
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained 
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out, 
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
               = 0.12 / (0.12 + 0.3)
               = 0.12 / 0.42
               = 0.286
the final answer is 0.286
6 0
3 years ago
Need help <br> Value of n2(m+r)if m=3,n=2,r=4
melisa1 [442]
Answer 28 because you plug it in for your answer.
3 0
3 years ago
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