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Sidana [21]
3 years ago
9

Need help 16=-2(k+9)

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0
16=-2k+-18
16- -18= 34
34=2k
17=k
Ksivusya [100]3 years ago
5 0

Answer:

-17 = k

Step-by-step explanation:

16=-2(k+9)

Distribute the -2

16 = -2k -18

Add 18 to each side

16+18 = -2k-18+18

34 = -2k

Divide by-2

34/-2 = -2k/-2

-17 = k

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Solve using substitution.<br><br> x = –2<br> 5x + 3y = 14
Nookie1986 [14]

Answer:  (-2, 8)

Explanation:

Plug x = -2 into the second equation. Isolate y.

5x+3y = 14

5(-2)+3y = 14

-10+3y = 14

3y = 14+10

3y = 24

y = 24/3

y = 8

We have x = -2 lead to y = 8.

Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.

4 0
2 years ago
Joanne buys a car for $1500 after 12 months Joanne is forced to sell the car for 10% less than what she brought it for, how much
MAVERICK [17]

Answer:

$1350

Step-by-step explanation:

Given she sold the car 10% less than what she bought it, amount she sold the car will be 10% of the amount she bought the car subtracted from the amount she bought he car .

She bought the car for $1500

Therefore,

10% of $1500

10% /100% x $1500

0.1 x $1500

$150

Now , amount she sold the car = $1500 - $150

= $1350

She sold the car for $1350

7 0
4 years ago
Pls helppp<br> math work<br> bleh
Mashcka [7]

Answer:

m = -10

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds
MissTica

Step 1

Given;

\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

A=P(1+rt)

Step 3

Find the interest when the rate is 8%

\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}

Therefore the interest is given as;

A-P=382397.26-375000=\text{\$}7397.26

Step 4

Find the interest in 1980 with a 20% rate

\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}

The interest is given as;

A-p=393493.15-375000=\text{\$}18493.15\text{ }

Step 5

Find the difference in interest between the two rates.

\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89

Hence, the difference in interest between the two rates = $11095.89

4 0
1 year ago
Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0
2 years ago
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