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2 years ago

sheila has 5 times as many markers as dave together they have 18 markers. How many markers does shelia have

Mathematics

2 answers:

wel2 years ago

6 0

Shelia has 15 markers

Hatshy [7]2 years ago

3 0

15 markers is the answer

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

2 years ago

Can someone answer 33 please?!

Temka [501]

(x)+(x+1)+(x+2)=228.

3x+3=228
3x=225
x=75
Integer 1: 75
Integer 2: 76
Integer 3: 77

75+76+77=228

8 0

2 years ago

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PLEASE HELP!!!!

Nadya [2.5K]

Answer:

(-1,1,3)

Step-by-step explanation:

midpoint = (x1+x2/2, y1+y2/2, z1+z2/2)

midpoint = ( (-6+4)/2, (3+-1)/2, (4+2)/2 )

midpoint = (-2/2, 2/2, 6/2)

midpoint = (-1, 1, 3)

6 0

2 years ago

Please help me

serious [3.7K]

The answer would be C.

6 0

2 years ago

ron drew a quadrilateral with 4 right angles and 4 sides with the same length what figure díd he drew

vladimir1956 [14]

Ron drew a parallelogram.

6 0

2 years ago

Read 2 more answers