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Kisachek [45]
3 years ago
9

Natalia sawed five boards of equal links to make a school each was 9/10 of a meter long what is the total length of the board sh

e saw an express your answer as to some of the whole number and the remaining fractional units draw a number line to represent this problem
Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0
5×9/10=4.5
        9/10          1 8/10         2 7/10        3 6/10             4 5/10
---------------l--------------l---------------l----------------l----------------
5 5/10=4 1/2=4.5
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Given the explicit formula for an srithmetic sequence find the first five terms and the 52nd term
Wewaii [24]

Answer:

5.16 6.77 8.96.8u .987

6 0
4 years ago
Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]
Anit [1.1K]

Answer:

The answer is "\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}".

Step-by-step explanation:

\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}

Solve the L.H.S part:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]

After calculating the L.H.S part compare the value with R.H.S:

\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\

\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\

In equation (i) multiply by 3 and subtract by equation (iii):

\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to  c= - \frac{1}{2}

put the value of c in equation (i):

\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\

In equation (ii) multiply by 3 then subtract by equation (iv):

\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\

put the value of d in equation (iv):

\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2

The final answer is "\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}".

4 0
4 years ago
3/4log7(625)+2log7(x)=2 solve for x
sdas [7]
Simplifies to:
1.690196x+396.139706=2

Let's solve your equation step-by-step.
1.690196x+396.139706=2


Step 1: Subtract 396.139706 from both sides.

1.690196x+396.139706-396.139706=2-396.139706



1.690196x=-394.139706

Step 2: Divide both sides by 1.690196.
1.690196x/1.690196 -394.139706/1.690196

x= -233.191716
Answer: x= -233.191716

7 0
3 years ago
In order to efficiently bid on a contract, a contractor wants to be 95% confident that his error is less than two hours in estim
Sonja [21]

Answer:

Step-by-step explanation:

Given that in order to efficiently bid on a contract, a contractor wants to be 95% confident that his error is less than two hours in estimating the average time it takes to install tile flooring.

Std deviation =4.5 errors

95% confidence interval = Mean±1.96*std dev

Hence we have

1.96(\frac{4.5}{\sqrt{n} } )

\sqrt{n} \geq 4.41\\n\geq 19.4481

Sample size should be 20.

8 0
3 years ago
Please help me!!!! I am doing my finals and I have two hours to do this!!!
MrRa [10]

Answer:

D

Step-by-step explanation:

I think...this is a really hard question but D is the one I would choose. Forgive me if I'm wrong

4 0
3 years ago
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