A problem gives you the desired end result and some pertinent information. Which problem solving strategy would be best to utilize in this situation?

Draw a diagram

Guess, check, and revise

Work backwards



10 if correct 1 if not

Answer:

6/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

LEt the surface of the ocean be at the zero level i.e at 0metres

If Trina went scuba diving and reached an elevation of −85.6 meters, which is below sea level, the distance between Trina and the sea level will be:

D = 0-(-85.6)

D = 0+85.6

D = 85.6m

If Jessie went hang-gliding and reached an altitude of 87.9 meters, the distance between Jessie and the sea level will be:

D = 87.9-0

D = 87.9m

Since the distance of Trina is less than that of Jessie, this means that Trina is closer to the surface of the ocean

A graph showing the fat and calories content has increased in the number of calories with the increasing number of fat.

Thus the graph shows a linear trend and in increasing order.

Learn more about the Is the trend line linear.

brainly.com/question/20309786.

Answer:

The equation is "Y = 56.36*X + 56.47"

Step-by-step explanation:

The form of the equation is  y=mx+b, m = slope and b = intercept.

You have to find the slope of the trend line or you can use the plot points, but identifying the slope in the trend line is much easier.

It seems there are two points that are outliers and need no paying attention to, this is because outliers can make predictions unreliable and also make the trend line unreliable overall as well.

Have a Jocular day.

Answer:

A balance diet is a healthy diet that contains different food intakes.

Step-by-step explanation:

A balance diet may be defined as a diet which contains different varieties of food in certain proportions and quantities so as supply the requirements of the body for proteins, vitamins, calories, minerals and nutrients. It is a healthy diet that helps to maintain and improve the overall health.

For a balance diet, a person needs to take proper amount pf carbohydrates, fats and proteins so that the body gets the required energy in terms of calories for the day.

In the context, Isaiah wishes to consumes 2000 calories of energy in one day for a healthy diet. So according to the United States government recommended diet for the consumption of 2000 calories per day, Isaiah should have 15% of protein, 30% of fat and 55% of carbohydrate. And in terms of gram, she should take 75 gram of protein (300 cal), 67 gram of fat (600 cal) and 275 grams of carbohydrates (1100 cal).

Answer:

1.6x10^5

Step-by-step explanation:

moving decimal places 5 times to the left will give you an exponent of 5

1.6x10^5 has 2 sig figs (1 and 6)

comment your question if this is still unclear :))

Answer:

A

Step-by-step explanation:

8/2=4

4-3=1

12/2=6

6-3=3

18/2=9

9-3=6

20/2=10

10-3=7

Answer:

Wait, i think it should be A

Step-by-step explanation:

Answer:

y=-x-4

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

By following the exponent rule, when multiplying two numbers of the same term with exponents, you simply add them together.

Therefore, to make (5^n)(5^2)=5^16 true, n must equal 14 since:

14 + 2 = 16

Answer:

n = 14

Step-by-step explanation:

Recall the rule:

[tex] a^m \times a^n = a^{m + n} [/tex]

[tex] (5^n)(5^2) = 5^{16} [/tex]

[tex] (5^n)(5^2) = 5^{n + 2} = 5^{16} [/tex]

[tex] n + 2 = 16 [/tex]

[tex] n = 14 [/tex]

Answer:

a & b are parallel to each other. c and d are also parallel to each other

a & c are perpendicular; b and c are also perpendicular

Explanation: Perpendiculars are when two lines meet to make a 90 degrees right angle. Parallel are two lines that never meet at all. Instead, they have the same distance apart across . Think about it as two different streets.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I'll assume the following.

Unit Rate = $10 per 2 hours

Solving further, we have that:

1. Yes, there is another unit rate that can be written.

Unit Rate = $10 per 2 hours

Convert Rate to fraction

[tex]Unit\ Rate = \frac{\$10}{2\ hours}[/tex]

Divide numerator and denominator by 2

[tex]Unit\ Rate = \frac{\$5}{1\ hour}[/tex]

Simplify:

[tex]Unit\ Rate = $5/hour[/tex]

2.  The unit rate implies that the earnings is $5 per hour

3. The constant of proportionality

Let y represent the earnings

x represent work hours.

We have:

[tex]y = kx[/tex]

Where k = constant of proportionality

In this case:

[tex]y = 10[/tex]

[tex]x = 2[/tex]

Substitute these values in [tex]y = kx[/tex]

[tex]10 = k * 2[/tex]

[tex]10 = 2k[/tex]

Divide both sides by 2

[tex]5 = k[/tex]

[tex]k = 5[/tex]

Hence: The unit of proportionality is 5

Apply the above steps in your question

Answer:

2 is the equivalent to the expression

Answer:

Step-by-step explanation:

24 square inches

Answer:

54ft

Step-by-step explanation:

To find perimeter the formula is A + B + C + D

So, 19 + 10 + 17 + 8 = 54ft

Answer:

63 members

Step-by-step explanation:

Since each person calls 2 persons each, there is an exponential increase of 2 for each level. Since it starts with the president as 1 person, and increases exponentially by 2 for each level of phone call, we have a geometric progression of first term, a = 1 and common ratio r = 2. Since the process of phone calls must be repeated 5 times, our last term is 2⁵. So, our geometric progression is 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵

We now sum the geometric progression

The sum of a geometric progression with r > 1 is

S = a(rⁿ - 1)/(r - 1)

substituting r = 2, a = 1 and n = 6 since we have 6 terms, we have

S = 1(2⁶ - 1)/(2 - 1)

= (64 - 1)/1

= 63

So, we have 63 members in the club.

We could have also found this by summing up individually the terms in the series. We have 1 + 2¹ + 2² + 2³ + 2⁴ + 2⁵ = 1 + 2 + 4 + 8 + 16 + 32 = 63

Answer:

Be more specific

Step-by-step explanation:

Answer:

It equals 6

Step-by-step explanation:

It's in the ones place

Answer:

68

Step-by-step explanation:

5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68

Answer:

0.4

Step-by-step explanation:

[tex]0.1 + 0.3 = 0.4[/tex]

Answer:

0.4

Good Luck!!!

Answer:

area = x² - 7x

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 2x and h = x - 7 , thus

A = [tex]\frac{1}{2}[/tex] × 2x(x - 7) = x(x - 7) = x² - 7x

Answer:

a=x^2-7x

Step-by-step explanation:

a=1/2bh

a=1/2(x-7)(2x)

a=1/2(2x^2-14x)

a=x^2-7x

Answer:

y is 10

Step-by-step explanation:

first take your imformation and put it into the y intercept from.

Which is y=mx+b

so take the cordinates (5,2) and put it into the y-intercept form.

the 5 is x and the 2 is the y, so

2=m*5+b

Then take the slope of -3 and put it in the y-intecept from

2=-3*5+b

then solve for b

2=-3*5+b

2=-15+b

+15  on both sides

17=b

now you know the equation of the line is

y=-3x+17

now plug in your x to find the y of that cordinate

on the line.

y=-3*9+17

solve

y=-3*9+17

y=-27+17

y=10

Answer:

x≥12, Michael must grow for 12 more months (a year) before he can ride a roller coaster.

Step-by-step explanation:

The inequality to represent how tall you must be to go on a roller coaster is

x≥48 because you must be a minimum of 48 inches tall, 'x' represents how tall you must be

If Michael is already 42 inches tall, that is his base point but you need to know how many more months he will need to grow for.

1/2x represents the amount of months Michael needs to grow, x is the unknown variable we need to solve for which represents the months he needs to grow, 1/2 is how many inches he grows in 1 month

42+1/2x≥ 48

subtract 42 from each side) 1/2x≥6

multiply both sides by 2) x≥12

Answer:

£4

Step-by-step explanation:

Adam: 30% of £80

Katy: £28

First, let's fund Adam's bonus. We know that 30% is equal to 0.3. Then, we can multiply £80 by 0.3. This results in £24.

We also know that Katy made £28. Now we need to find the difference.

The difference between Adam and Katy is £4.

Answer:

HSA.REI.A.2. Practice some problems before going into the exercise. ... Solving square-root equations: one solution ... When I solve a square-root equation, what is it exactly what I'm finding? ... So, do all quadratic equations have extraneous solutions? ... sqrt(x-2)^2=sqrt(1) equal x-2 = +/-1 and not +/-(x-2) = +/-1

Answer:

513.881

Explanation: (Credits to jessy276)

= 5*100+3+10+8*0.1+9*0.009

= 500+3+10+8*0.1+9*0.009

= 500+3+10+0.8+9*0.009

= 500+3+10+0.8+0.081

= 503+10+0.8+0.081

= 513+0.8+0.081

= 513.8+0.081

= 513.881

Answer:

The answer is 513.881

Step-by-step explanation

Answer:

40%

Step-by-step explanation:

90 is 60% of 150 so that automatically makes the cappuccino 40%

Answer:

n+3

since output is always greater by 3

Step-by-step explanation: