How to use 1 to 9 digits to make the sum of 999

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Can the numbers be repeted!!!!!!!!!!!!!!!!!!!!!!!!!

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The histogram shows the weekly attendance of participants in a school's study skills program. What was the highest weekly attend

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That would be on the 5th week. There were 18 students that attended (D.)

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3 years ago

Prove that 1/sec0-tan0= sec0+tan0

Leviafan [203]

Answer:

Step-by-step explanation:

$\text{LHS}=\frac{1}{\sec \theta-\tan \theta}\\=\frac{\sec \theta+\tan \theta}{(\sec \theta-\tan \theta)(\sec \theta+\tan \theta)}\\=\frac{\sec \theta+\tan \theta}{\sec^{2} \theta-\tan^{2} \theta}\\=\frac{\sec \theta+\tan \theta}{1}\\=\sec \theta+\tan \theta\\=\text{RHS}$

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2 years ago

Solve each system using elimination PLEASE HELP!!!

Mrrafil [7]

1.
$8x+5y=6 \ \ \ |\times 2 \\
3x-2y=10 \ \ \ |\times 5 \\ \\
16x+10y=12 \\
\underline{15x-10y=50} \\
16x+15x=12+50 \\
31x=62 \ \ \ |\div 31 \\
x=2 \\ \\
3x-2y=10 \\
3 \times 2-2y=10 \\
6-2y=10 \ \ \ |-6 \\
-2y=4 \ \ \ |\div (-2) \\
y=-2 \\ \\
(x,y)=(2,-2)$

2.
$-3x+8y=10 \ \ \ |\times 5 \\
5x+6y=80 \ \ \ |\times 3 \\ \\
-15x+40y=50 \\
\underline{15x+18y=240 \ \ } \\
40y+18y=50+240 \\
58y=290 \ \ \ |\div 58 \\
y=5 \\ \\
5x+6y=80 \\
5x+6 \times 5=80 \\
5x+30=80 \ \ \ |-30 \\
5x=50 \ \ \ |\div 5 \\
x=10 \\ \\
(x,y)=(10,5)$

3.
$4x+12y=-24 \\
3x-6y=-18 \ \ \ |\times 2 \\ \\
4x+12y=-24 \\
\underline{6x-12y=-36} \\
4x+6x=-24-36 \\
10x=-60 \ \ \ |\div 10 \\
x=-6 \\ \\
3x-6y=-18 \\
3 \times (-6)-6y=-18 \\
-18-6y=-18 \ \ \ |+18 \\
-6y=0 \ \ \ |\div (-6) \\
y=0 \\ \\
(x,y)=(-6,0)$

4.
$5x-6y=48 \ \ \ |\times 2 \\
2x+5y=-3 \ \ \ |\times (-5) \\ \\
10x-12y=96 \\
\underline{-10x-25y=15} \\
-12y-25y=96+15 \\
-37y=111 \ \ \ |\div (-37) \\
y=-3 \\ \\
2x+5y=-3 \\
2x+5 \times (-3)=-3 \\
2x-15=-3 \ \ \ |+15 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
(x,y)=(6,-3)$

8 0

3 years ago

each of the letters of the word ALABAMA is written on a piece of paper and then put into a bag. A piece of paper is drawn at ran

Yanka [14]

Answer:

P(A) = 0.57 (to the nearest hundredth)

Step-by-step explanation:

There are 7 letters in total

4 of them are the letter A

⇒ P(A) = 4/7

= 0.5714285714...

= 0.57 (to the nearest hundredth)

5 0

2 years ago

Ratios 5 boys to 6 girls

zavuch27 [327]

Answer: 5:6

Step-by-step explanation:

5 0

3 years ago