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3 years ago

14

Mrs tarter spends 15 percent of each weekday traveling in her car how many hours per day does mrs tarter spend in her car during

the week

2 answers:

Andrews [41]3 years ago

8 0

There are 5 week days which is 120hours.15%of 120 hours is
120*.15=18 hours per week

Greeley [361]3 years ago

4 0

There are 7 weekdays this means 168 hours so 168 times 0.15 is 25.2 hours a week

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A triangle has two sides that measure 4ft. and 3ft. Which could be the measure of the 3rd side?

Aneli [31]

In order to form a triangle, the third side must be at least greater than the difference of the other two sides
4 - 3 = 1 So the third side must be greater than 1 foot and the third side must be less than the sum of the other two sides
4 + 3 = 7 So, the third side must be less than 7

1 < third side < 7

4 0

3 years ago

The length of a rectangle is 12 cm more than its width. Find the

just olya [345]

Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Step-by-step explanation:

Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm

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3 years ago

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

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3 years ago

Classify the model as Exponential GROWTH or DECAY.<br> A=1200(.85)6

BartSMP [9]

Answer: DECAY

Step-by-step explanation:

(.85) is less than 1

3 0

3 years ago

What Is the common denominator of y+(y-3/3) in the complex fraction <br> y+(y-3/3)/5/9+2/3y

sladkih [1.3K]

Answer:

3, d on edge..................

3 0

3 years ago

Read 2 more answers