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4 years ago

Kathie ran for twice as long as she walked. She walked for 10 minutes more than she rode her bike. She walked for 30 minutes.

Mathematics

1 answer:

Gnoma [55]4 years ago

7 0

30 x 2 = 60 min running
30 - 10= 20 min biking

30+60+20=110 min, or an hour and 50 minutes

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-18:45

musickatia [10]

Answer:

it would be a

Step-by-step explanation:

5 0

3 years ago

A ladder is placed 3.5 feet away from the base of a tree. If the ladder forms a 53° angle with the ground, how many feet up the

Orlov [11]

Answer:

The ladder will reach 4.6 ft up the tree.

Step-by-step explanation:

When we draw out our triangle, we should see that we are given the horizontal leg and are trying to find the vertical leg. We use tan∅ to help solve:

tan53° = x/3.5

3.5tan53° = x

x = 4.64466

4 0

3 years ago

Tanner collected 360 cans and bottles while fundraising for his baseball team. This was 40% of what Reggie collected. How many c

Papessa [141]

Answer: the answer is 504!

Step-by-step explanation:

360*0.40=144

so they said 40% reggie collected main mor than 40% collected so you need to do add like 360+144=504

8 0

3 years ago

Solve | x + 6| - 7 = 8

Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Cancel absolute sign and add plus-minus to 15:

$\displaystyle \large{x+6=\pm 15}$

Transport 6 to subtract ±15:

$\displaystyle \large{x=\pm 15-6}$

Consider:

$\displaystyle \large{x= 15-6}$ or $\displaystyle \large{x = -15-6}$

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x = 9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Second Method

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Absolute Function Property:

$\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}$

Consider both intervals:

When x ≥ a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}$

Transport 6 to subtract 15:

$\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}$

When x < a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}$

Transport -6 to add 15:

$\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}$

Transport negative sign to 21:

$\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

3 0

2 years ago

For what values of b will f(x) = logb x be a decreasing function?

musickatia [10]

The answer to this is 0<b<1

4 0

3 years ago

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