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max2010maxim [7]

3 years ago

13

During a field trip, 60 students are put into equal-sized groups. Use 60 ÷ 5 = 12 to answer this question. If 5 represents the n

umber of groups, what does 12 represent?

1 answer:

solniwko [45]3 years ago

6 0

Answer:

12 is the number of people in each group.

Step-by-step explanation:

12 would be the number of people in each group. because as you divide 60 to 5..... 12 people are divided sperately into 5 groups.. hope this helps and if you have any questions go ahead and ask! JESUS LOVES YOU

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Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m

suter [353]

Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week 1 2 3 4 5

Water Level (inches) − 1 1 4 1 3 8 2 1 2 -1 5 8 -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

Proof -

The formula for change in water level with respect to week be-

Rate of Change in Water Level = Difference in water level / Difference in weeks

Now,

For week 1 and week 2

Rate of change in water level = $\frac{138 - 114}{2 - 1}$ = $\frac{24}{1}$ = 24 inches

Now,

For week 1 and week 3

Rate of change in water level = $\frac{212 - 114}{3 - 1}$ = $\frac{98}{2}$ = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = $\frac{-158 - 114}{4 - 1}$ = $-\frac{272}{3}$ = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = $\frac{-134 - 114}{5 - 1}$ = $-\frac{248}{4}$ = -62 inches

Now,

For week 2 and week 3

Rate of change in water level = $\frac{212 - 138}{3 - 2}$ = $\frac{74}{1}$ = 74 inches

Now,

For week 2 and week 4

Rate of change in water level = $\frac{-158 - 138}{4 - 2}$ = $-\frac{296}{2}$ = -148 inches

Now,

For week 2 and week 5

Rate of change in water level = $\frac{-134 - 138}{5 - 2}$ = $-\frac{272}{3}$ = -90.67 inches

Now,

For week 3 and week 4

Rate of change in water level = $\frac{-158 - 212}{4 - 3}$ = $-\frac{370}{1}$ = -370 inches

Now,

For week 3 and week 5

Rate of change in water level = $\frac{-134 - 212}{5 - 3}$ = $-\frac{346}{2}$ = 173 inches

Now,

For week 4 and week 5

Rate of change in water level = $\frac{-134 + 158}{5 - 4}$ = $\frac{24}{1}$ = 24 inches

∴ we get

The water level change the most in week 3 and week 4

The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

7 0

3 years ago

A, B & C lie on a straight line.

Liono4ka [1.6K]

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

8 0

2 years ago

If a cylinder holds a volume of 100 cm3, and is 30 cm tall, which is the area of the bottom of the cylinder?

Vesna [10]

=πr2h

Area of circle
=πr2

=V/h
=100/30
≈3.33cm

4 0

3 years ago

7 + (10 − 4)to the power 2 ➗ 4 ✖️1 over 2 to the power of 3

iragen [17]

Answer:

86

Step-by-step explanation:

=> $7+(10-4)^2 /4 (\frac{1}{2} )^3$

=> $7+(6)^2 / 4(\frac{1}{8})$

=> $7+36 / \frac{1}{2}$

=> $43 * 2$

=> 86

8 0

3 years ago

What is the inverse of the function? f(x)=3x−1

Hatshy [7]

Answer:

The inverse is 1/3 (x+1)

Step-by-step explanation:

y = 3x-1

Exchange x and y

x = 3y-1

Solve for y

Add 1 to each side

x+1 = 3y-1+1

x+1 = 3y

Divide each side by 3

(x+1)/3 = 3y/3

1/3(x+1) =y

The inverse is 1/3 (x+1)

5 0

3 years ago