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iris [78.8K]
3 years ago
11

Solve for x. Explain the steps taken to find the solution. 3/2 + 3x/5 = 9/2 4x/5

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

46

i just got it right

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A scale on a map shows that 2.5 centimeters represents 15 kilometers
Leto [7]

Answer:

105km

Step-by-step explanation:

2.5/15=17.5/x (set up as a proportion)

2.5x=262.5 (cross multiply)

x=105 (Divide)

3 0
3 years ago
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Given: <br><br> ∆SPM, PK⊥ SM<br><br> SP = 25, SM = 28, PK = 9<br><br> Find: m∠S, m∠M, PM
nevsk [136]

Answer:

∠S = 21.10°

∠M = 79.45°

PM = 9.16

Step-by-step explanation:

Here Pythagorean theorem and trigonometry suffice to solve our problem.

From the Pythagorean theorem we get:

KM^2+9^2=PM^2 and

(25-KM)^2+9^2=25^2.

We solve for KM in the second equation and get:

(25-KM)=\sqrt{25^2-9^2}

\therefore KM=25-\sqrt{25^2-9^2} =\boxed{1.68}

Now since

SK+KM=25\\\\ SK=\boxed{23.32}

Therefore

{\angle}S=Tan^{-1}(\frac{PK}{SK}) = Tan^{-1}(\frac{9}{23.32})=21.10^o

and

{\angle}M=Tan^{-1}(\frac{PK}{KM}) = Tan^{-1}(\frac{9}{1.68})=79.45^o.

And finally again from the Pythagorean theorem:

PM^2=PK^2+KM^2=9^2+1.68^2

\therefore PM=\sqrt{9^2+1.68^2} =9.16.

Thus,

∠S = 21.10°

∠M = 79.45°

PM = 9.16.

7 0
3 years ago
One lunch table can hold 10 students. There are 60 students in 3rd grade. How many lunch tables are needed so that every student
Sladkaya [172]

Answer:

6 lunch tables

Step-by-step explanation:

Since one lunch table can hold 10 students and 60 students are needed to hold,

60 ÷ 10 = 6 lunch tables

5 0
3 years ago
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Use the linear combination method to solve.<br><br> {x+2y=1 x−2y=5
k0ka [10]

Answer:

Step-by-step explanation:

1) x+27=1

 -27  -27

x = -26

2) x-2y=5 (solving for x)

     +2y  +2y

x = 5 + 2y

2) x-2y=5 (solving for y)

  -x       -x

2y = 5 -x

2y/2    5/2   -x/2

y = 5 - x

   _____

        2         (5-x over 2)  

3 0
3 years ago
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Given p: today is october 6 and q: today is ninas birthday
Sholpan [36]

Answer:

Q, today is Ninas birthday

7 0
3 years ago
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