Adding to "undo" subtraction and subtracting to "undo" addition are both examples of using inverse operations to solve equations. Think of another pair of inverse operations in mathematics. How do these inverse operations "undo" each other?

Answer:

Mode

Step-by-step explanation:

The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.

So lets a student builds unifix cube towers to represent the ages of the five children as following:

3 1 2 2 4

Now the student first places them in order from smallest to largest

1 2 2 3 4

Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:

2 2 3

Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:

2

The tower in the middle is remaining i.e. 2

So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.

The correct answer is 3780 bolts

Explanation:

In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:

500 nuts  (a)  = 1 hour (b)

750 nuts  (c) = x (time spent to make 750 nuts)

x = 750 x 1 / 500

x = 1.5

Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.

According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).

Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

Answer:

k Nishant

Step-by-step explanation:

there is no comman angle but their is common side that is AC

Answer:

92

Step-by-step explanation:

Given

Scores: 85, 78, 81

Required

Determine the least score in 4th subject is average must be at least 84

To solve this, we'll make use of Mean formula.

Mean = Sum of observations/Number of observations

We have that; Average = 84

Number of subjects = 4

Let the 4th subject be represented by F;

So, the sum of the four Subjects is:

Sum = 85 + 78 + 81 + F

Sum = 244 + F

Substitute these values in the above formula.

84 = ¼(244 + F)

Multiply both sides by 4

4 * 84 = 4 * ¼(244 + F)

336 = 244 + F

Subtract 244 from both sides

336 - 244 = 244 - 244 + F

92 = F

F = 92

To have an average of at least 84, Su's score must be atleast 92

Answer:

xy=10

Step-by-step explanation:

Vary inversely means x and y have a constant product.  The graph is not a straight line.  We find the product from the given set of values a=2, b=5 to get ab=10.  Therefore xy=10 is the equation.

Answer:

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

Hope this helps you

Answer:

a) 9 squares long

b) 18

Step-by-step explanation:

Answer:

c. 38

Step-by-step explanation:

Answer:

1.47

Step-by-step explanation:

Use the multiplication method.

Answer:

Hello!

_______________________-

4.9 x 0.3 = 1.47

Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.

Hope this helped you!

Answer:

$15,000,000

Step-by-step explanation:

Fórmula de intereses = P × R × T

P = $15,000,000

R = 30% anual = 0.3

T = 8 meses = 8/12 = 0.6667

Intereses = $15,000,000 × 0.3 × 0.6667

Intereses = $3,000,000

Después de 8 meses, el monto a pagar = $15,000,000.00+ $3,000,000

= $18,000,000

Si hace un pago de $3,000,000 dentro de 2 meses, cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual

= $18,000,000 - $3,000,000

= $15,000,000

Answer:

C. 15/16

Step-by-step explanation:

A. Divide by 3

B. Divide by 5

C. Can't divide by anything.

D. Divide by 4

Answer:

C

Step-by-step explanation:

21/24 = 7/8

35/40 = 7/8

7/8 ≠ 15/16

14/16 ≠ 15/16

28/32 = 7/8

Answer:

[tex]m\angle 1 =105^\circ\\m\angle 2 =75^\circ[/tex]

Step-by-step explanation:

The diagram is drawn and attached below.

From the diagram

[tex]m\angle 2 =75^\circ $ (Alternate Angles)[/tex]

[tex]m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ[/tex]

Answer:

m<2: 75

m<1: 105

Step-by-step explanation: On edge 2021

Hope this helps!

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

Answer:

x=-7/4 is an improper fraction

Step-by-step explanation:

8x=-14

dividing 8 on both sides

x=-14/8

cancelling by 2

x=-7/4

i hope this will help you :)

Answer:

the second one, you see:

first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]

[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]

Answer:

Option (B)

Step-by-step explanation:

Let the five distinct positive integers are a, b, c, d, e.

Average of these five integers is 20.

[tex]\frac{a+b+c+d+e}{5}=20[/tex]

a + b + c + d + e = 100

If these integers are in the increasing order,

Median of these integers 'c' = 12

If the sum of d and e is the largest then the sum of a and b will be the smallest.

Therefore, the smallest positive integers a and b will be,

a = 1 and b = 2

1 + 2 + 12 + d + e = 100

15 + d + e = 100

d + e = 100 - 15

d + e = 85

Since d will be greater than the median c,

d > c

d > 12

For the largest value of integer 'e', value of 'd' will be minimum.

The least value of d will be = 13

Then, 13 + e = 85

e = 85 - 13

e = 72

{a, b, c, d, e} = {1, 2, 12, 13, 72}

Therefore, the largest possible number is this set will be 72.

Option (B) will be the answer.

Answer:

Amount the watch normally costs: w

Amount if the discount: 0.3w

Percent decrease of the discount, as a decimal: 0.3

Percent of the normal cost that Chad paid, as a decimal: 0.7

Answer:

B.

Step-by-step explanation:

When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.

Answer:

1) 10

2) 16

Step-by-step explanation:

1) 2x+15=37-2

2x+15=35

2x=35-15

2x=20

2 2

x=10

2)10x-8=9x+8

10x-9x=8+8

x=16

Hope this helps ❤

Answer:

The radicals should be negatives of each  other

Step-by-step explanation:

When we get solutions that are radicals, they have to be in the form

a+ sqrt(b) and a- sqrt(b)

His answer is a + sqrt(b) and -a - sqrt(b)

Answer:

B and E

aka

E-F and E-D

C-B and C-D

Step-by-step explanation:

By the symmetry of the circle, we can see that:

Two segments are congruent when the segments have the same measure.

Here, we can use the symmetry of the circle to break the triangle into two equal parts.

We could see that segment EB cuts the triangle into two equal halves, then we will have that:

These are the congruent segments.

If you want to learn more about segments, you can read:

https://brainly.com/question/14366932

Answer:

11

Step-by-step explanation:

Step 1: Parenthesis

6² - 5²

Step 2: Exponents

36 - 25

Step 3: Subtract

11

The dot is multiplication.

Answer:

11 is right, yes.

Step-by-step explanation:

The dot does mean multiplication. All you have to do is multiply 2*3 first, then do the powers, and you get 36-25, which is indeed 11.

Answer:

a. 17

b. 50

c. 9

Step-by-step explanation:

Simply replace the variables with the given numbers:

3(5) + 2

15 + 2

17

2(5)²

2(25)

50

(5 - 2)²

3²

9

Answer:

a) 17

b) 50

c) 9

Step-by-step explanation:

x = 5; y = 2

a) 3x + y

b) 2x^2

c) (x - y)^2

a) 3x + y = 3(5) + 2 = 15 + 2 = 17

b) 2x^2 = 2(5^2) = 2(25) = 50

c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9

Answer:

B.

Step-by-step explanation:

Hope it was Right.

Answer: the answer is c

Answer:

44

Step-by-step explanation:

Tan v=opp/adj 18s/19s=0.947

v=44 degrees (approximately)

angle T=180 - (90+44)

angle T= 46

Answer:

[tex]-3 < x < 2[/tex]

Step-by-step explanation:

Given:

Range: -3 to 2

Required:

- Write the inequality

- Represent on a number line

Let the variable be represented by x

The question says -3 and 2 are exclusive of x;

This implies that, -3 is less than x [tex](i.e.\ -3 < x)[/tex] and at the same time x is less than 2 [tex](i.e.\ x < 2)[/tex]

Write out the two inequalities

[tex]-3 < x[/tex] and [tex]x < 2[/tex]

Combine both inequalities

[tex]-3 < x < 2[/tex]

See attachment for number line

Notice that the circle on -3 and 2 are opened

This implies that -3 and 2 are exclusive of the inequality;

Answer:

640 fl oz

Step-by-step explanation:

80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.

So you would multioply 80 by 8 to find the amount of juice needed for 80 servings.  80*8= 640