Precipitation for the month of March was 4 3/4 inches less than average. I’m April, the precipitation was 1 1/2 inches less than average. How many inches below average was the precipitation for both March and April?

The amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.

The starting value/y-intercept of any function is the initial value or the value of y when x is equal to 0.

In the given scenario, the starting value/y-intercept (b), is the amount of money that was on the gift card when Nevaeh received the card.

Given the following:

Rate of change (m) = -3

Find b, y-intercept by substituting a point, (3, 21) and m = -3 into y = mx + b:

21 = -3(3) + b

Add 9 to both sides

21 + 9 = -9 + b + 9

30 = b

b = 30

Therefore, the amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.

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The amount of money in dollars I can save by using the lower-price vendor is 6750 dollars.

A percentage is a value per hundredth.

Brand A offers a list price of $400 per dozen for microwavable serving bowls and I want to order 500 dozen.

∴ The listed price I have to pay is (500×400) = 200000 dollars.

Given brand A offers a 35% of trade discount, So the actual price I have to pay is 65% of the listed price which is,

= (65/100)×200000 dollars.

= 130000 dollars for 500 dozens.

Similarly, brand B has a list price of $425 for a dozen and offers a 42% trade discount, So the price of 500 dozen microwavable serving bowels for the trade will be,

= (58/100)(425×500) dollars.

= 123250 dollars.

∴ The amount of money I will save is the lower the 6750 dollars.price vendor is

= (130000 - 123250) dollars.

= 6750 dollars.

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Answer:

620

Step-by-step explanation:

617 rounded to the nearest ten = 620.

The number 617 when rounded to the nearest ten will be 620.

We examine the digit in the position of the one and decide whether it is closer to the previous ten or the next ten to round a number to the closest ten.

The digit in the ones place for the number 617 is 7. We round up to the next ten since 7 is bigger than or equal to 5, so we do.

The tens digit is raised by one and all the digits to its right are set to zero in order to round up to the following ten.

So, when we round 617 to the nearest tenth, we get 620.

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Answer:

y=54

Step-by-step explanation:

For the given median 27.5, the missing value of the sequence is 32.

The middle value in a collection of numbers is known as the median. The numbers must first be sorted, or ordered, in value order from lowest to highest or highest to lowest in order to find the median value in a series of integers.

Given the values are -

Let the given value = x

5, 12, 23, 41, 51, x

The median of number is sum of 2 middles numbers divided by 2

median = (3 term + 4 term) / 2

27.5 = (23 + x) / 2

55 - 23 = x

x = 32

The missing value for the given sequence is 32.

The complete sequence is -

5, 12, 23, 32, 41, 51

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Answer:

m-3  = g

  2

  OR

(m-3) ÷ 2 = g

Step-by-step explanation:

m = Maria

g = George

m = 2g + 3

We need g by itself

Since it is + 3 we can get rid it by doing -3 on both sides to end up with:

m-3=2g

To get rid of 2 we divide on both sides to end up with:

m-3  = g

  2

  OR

(m-3) ÷ 2 = g

Answer:

1.32

Step-by-step explanation:

 4.53

- 3.21

= 1.32

Answer:

4.53 - 3.21 = 1.32

Hope this helps :)

Step-by-step explanation:

1.32 + 3.21 = 4.53 ✓

1. Let's solve for x.

x−2y−z=−6

Step 1: Add 2y to both sides.

x−2y−z+2y=−6+2y

x−z=2y−6

Step 2: Add z to both sides.

x−z+z=2y−6+z

x=2y+z−6

Let's solve for y.

x−2y−z=−6

Step 1: Add -x to both sides.

x−2y−z+−x=−6+−x

−2y−z=−x−6

Step 2: Add z to both sides.

−2y−z+z=−x−6+z

−2y=−x+z−6

Step 3: Divide both sides by -2.

−2y

−2

=

−x+z−6

−2

y=

1

2

x+

−1

2

z+3

Let's solve for z.

x−2y−z=−6

Step 1: Add -x to both sides.

x−2y−z+−x=−6+−x

−2y−z=−x−6

Step 2: Add 2y to both sides.

−2y−z+2y=−x−6+2y

−z=−x+2y−6

Step 3: Divide both sides by -1.

−z

−1

=

−x+2y−6

−1

z=x−2y+6

2.Let's solve for x.

−x+6y−3z=18

Step 1: Add -6y to both sides.

−x+6y−3z+−6y=18+−6y

−x−3z=−6y+18

Step 2: Add 3z to both sides.

−x−3z+3z=−6y+18+3z

−x=−6y+3z+18

Step 3: Divide both sides by -1.

−x

−1

=

−6y+3z+18

−1

x=6y−3z−18

Let's solve for y.

−x+6y−3z=18

Step 1: Add x to both sides.

−x+6y−3z+x=18+x

6y−3z=x+18

Step 2: Add 3z to both sides.

6y−3z+3z=x+18+3z

6y=x+3z+18

Step 3: Divide both sides by 6.

6y

6

=

x+3z+18

6

y=

1

6

x+

1

2

z+3

Let's solve for z.

−x+6y−3z=18

Step 1: Add x to both sides.

−x+6y−3z+x=18+x

6y−3z=x+18

Step 2: Add -6y to both sides.

6y−3z+−6y=x+18+−6y

−3z=x−6y+18

Step 3: Divide both sides by -3.

−3z

−3

=

x−6y+18

−3

z=

−1

3

x+2y−6

Let's solve for x.

2x−11y+5z=−33

Step 1: Add 11y to both sides.

2x−11y+5z+11y=−33+11y

2x+5z=11y−33

Step 2: Add -5z to both sides.

2x+5z+−5z=11y−33+−5z

2x=11y−5z−33

Step 3: Divide both sides by 2.

2x

2

=

11y−5z−33

2

x=

11

2

y+

−5

2

z+

−33

2

Let's solve for y.

2x−11y+5z=−33

Step 1: Add -2x to both sides.

2x−11y+5z+−2x=−33+−2x

−11y+5z=−2x−33

Step 2: Add -5z to both sides.

−11y+5z+−5z=−2x−33+−5z

−11y=−2x−5z−33

Step 3: Divide both sides by -11.

−11y

−11

=

−2x−5z−33

−11

y=

2

11

x+

5

11

z+3

Let's solve for z.

2x−11y+5z=−33

Step 1: Add -2x to both sides.

2x−11y+5z+−2x=−33+−2x

−11y+5z=−2x−33

Step 2: Add 11y to both sides.

−11y+5z+11y=−2x−33+11y

5z=−2x+11y−33

Step 3: Divide both sides by 5.

5z

5

=

−2x+11y−33

5

z=

−2

5

x+

11

5

y+

−33

5

the spaces r meant to be fractions

This questions have been solved in three steps showing the sequence of transformation that maps ∆ABC to ∆A''B''C''.

As per the question statement, we are supposed to describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.

Before solving the question, we need to know about the coordinates of vertices of ∆ABC , which is as follows:  

[tex]A(-5,3)[/tex] , [tex]B(-2,3)[/tex] and [tex]C(-4,1)[/tex]

Now coordinates of vertices of ∆A''B''C'' are as follows:

[tex]A"(8,-2)[/tex] , [tex]B"(5,-2)[/tex] and  [tex]C"(7,0)[/tex]

Step 1: Shifting the ∆ABC four units vertically down so that the edge [tex]AB[/tex] lies on the [tex]x-axis[/tex]

Step 2: Shifting the ∆ABC ten units in horizontally right direction.

Step 3: Inverting the ∆ABC by [tex]180[/tex]° on the same axis

Step 4: Rotating the ∆ABC by  [tex]180[/tex]° hence the new  ∆A''B''C'' is mapped.

This question is a classic example to practice the coordinate geometry.

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Answer:

[tex]1+\cos x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4cm}\underline{Trigonometric Identities}\\\\$\csc \theta=\dfrac{1}{\sin \theta}\\\\\\\cot \theta=\dfrac{\cos \theta}{\sin\theta}\\\\\\\cos^2 \theta + \sin^2 \theta = 1$\\\end{minipage}}[/tex]

[tex]\begin{aligned}\implies \dfrac{ \sin x}{ \csc x - \cot x} & = \dfrac{ \sin x}{\dfrac{1}{\sin x} - \dfrac{\cos x}{ \sin x}}\\\\& = \dfrac{ \sin x}{\dfrac{1 - \cos x}{\sin x}}\\\\& = \sin x \times \dfrac{\sin x}{1 - \cos x}\\\\& = \dfrac{\sin^2 x}{1-\cos x}\\\\& = \dfrac{1-\cos^2x}{1-\cos x}\\\\& = \dfrac{(1-\cos x)(1+ \cos x)}{1-\cos x}\\\\& = 1 + \cos x\end{aligned}[/tex]

Answer:

3x = 54 !

Step-by-step explanation:

3x = (72 - x)

Solve for x.

x = 18

Plug it in.

3(18) = 54 degrees

Hope this helps! Xx

The length of pipes are 235 inch and 47 inch.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

length of pipe = 282 inch

as, One piece is five times the length of the other.

then the pipe is in 6 parts

So, length of each = 282/6 = 47 inch

and, then the length of pieces

=47 * 5

= 235 inches

Hence, the length of pipes are 235 inch and 47 inch.

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https://brainly.com/question/16148316Based on the given information option D i.e.  fourth two-way table represents the results of the survey .

A two way table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.

A two-way table is a way to organise data about two specific variables. This example shows a two-way table where the variables are gender and favourite sport. The table holds a lot of information.

Making two way tables

Step 1: Identify the variables.

Step 2: Determine the possible values of each variable.

Step 3: Set up the table.

Step 4: Fill in the frequencies.

On the basis of the given question

Total males = 49 , in which 30 prefer a music center and rest of the males (19) prefer computer center.

Total students = 100 , in which 44 students prefer a computer center and rest of the students (56) prefer music center.

There is no data given for females .

Therefore ,  on the provided data, option D, or the fourth two-way table, depicts the survey results.

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Based on the given information option D i.e.  fourth two-way table represents the results of the survey .

When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.

Data regarding two particular variables can be organized using a two-way table. The variables in this example's two-way table are gender and preferred sport. There is a lot of information in the table.

Creating round tables

First, determine the variables.

Step 2: Establish the range of possibilities for each variable.

3. Position the table.

Fill in the frequencies in Step 4.

Using the posed query as a guide

Total number of guys is 49, of which 30 prefer a music center and the remaining 19 a computer center.

100 pupils total, of whom 44 chose a computer center and the remaining (56 kids) a music center.

There is no information provided for women.

As a result, option D, or the fourth two-way table, shows the survey results based on the data provided.

Answer:

at the end of the day the temperature would be -26° F

that is the solution and just writing so you can have the answer

55580.5 to 2 significant figures is 56,000.

The given figure is  55,580.5 where:

To round to 2 significant figures, we would round off to the nearest thousand. This is because ten thousand is the second digit in the figure.

To round off to 2  significant figures, if the hundred digit is equal or greater than 5, add one to the thousand digit and all the other digits after the thousand digit would become zero. If the hundred digit is less than 5, no number is added to the thousand digit and all the other digits after the thousand digit would become zero.

55580.5 becomes 56,000

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Answer: 6

Step-by-step explanation: 6 goes into 12 twice with none left over, and 6 goes into 18 3 times with none left over.

The required total combinations there from choosing 2 different side dishes is 12.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

                                          French fries
Salad                                 Onion rings                                            Beans

Number of combinations = 3

                                            Beans
Salad                                 Onion rings                                       French fries

Number of combinations = 3

                                            Salad  
Beans                              Onion rings                                       French fries
Number of combinations = 3  

                                        Onion rings      
Beans                                 Salad                                       French fries
Number of combinations = 3

Total number of combinations = 12

Thus, the required total combinations there are from choosing 2 different side dishes is 12.

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The 8th term of the given geometric sequence is -163840;

Given sequence 10, -40, 160,..... is a geometric progression;

Here, a = 10; r = -4;

The nth term of a geometric progression is given by aₙ = a(rⁿ⁻¹);

Therefore;

a₈ = 10(-4)⁸⁻¹ = 10(-4)⁷ = -163840;

A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying each preceding term by a fixed number, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

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Answer:

100

Step-by-step explanation:

We multiply by 100 because we need to move the decimal 2 places to get rid of it

I know this because 98.48*100=9848

Answer:

15,000 total, 4000 day 1, then 1000 for day 2 thru 12.

The solution to the inequality p + 3.6 > −5.8 is p ∈ (-9.4, ∞) the number line (B) represents the solution set to the inequality.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

p + 3.6 > −5.8

After simplification:

p > -5.8 - 3.6

p > -9.4

The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

After plotting on the number line:

p ∈ (-9.4, ∞)

Thus, the solution to the inequality p + 3.6 > −5.8 is p ∈ (-9.4, ∞) the number line (B) represents the solution set to the inequality.

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Answer: A, I think,

Step-by-step explanation: I'm pretty sure its A because everyone said it's not B and I did the math to get - 9.4. Please let me know if I was wrong on this.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]6\leq n+3\frac{1}{4}[/tex]

Solution:

[tex]n+\frac{13}{4} \geq 6[/tex]
[tex]n\geq 6-\frac{13}{4}[/tex]

[tex]n\geq \frac{24}{4} -\frac{13}{4}[/tex]

[tex]n\geq \frac{11}{4}[/tex]

Hope this helps

The inequality mentioned in the sentence is [tex]6\leq n +3\frac{1}{4}[/tex].

In mathematics, an inequality depicts the connection between two non-equal values in an algebraic expression. Inequality signs can indicate that one of the two variables is larger than, greater than or equal to, less than, or smaller than or equal to another value.

According to the given, question, Six is less than or equal to the total of n + 3 1/4. So, inequality is solved as follows:-

[tex]6\leq n +3\frac{1}{4}\\n +13/4\geq 6\\n\geq 6-13/4\\n\geq 24/4-13/4\\n\geq 11/4[/tex]

Therefore, the sentence's mentioned inequality is [tex]6\leq n +3\frac{1}{4}[/tex] and solution to the equation is [tex]n\geq 11/4[/tex].

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The solution of the sum of one and two divided by twenty is 1.05.

It is required to find the solution.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

According to given question we have,

Add the first and the last number i.e. 1+20=21

Now, divide the number by 20 i.e.

=21/20=1.05

Therefore, the solution of the sum of one and two divided by twenty is 1.05.

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Answer:

54°

Step-by-step explanation:

Given BD bisects ∠ABC, which means it divided the angle into two equal parts, we can write the following equation to find the value of x, then the measure of ∠ABC:

9x = 8x + 3 subtract 8x from both sides

x = 3

The measure of ∠ABC = ∠ABD + ∠DBC

∠ABC = 9x + 8x + 3 add like terms

∠ABC = 17x + 3 replace x with 3

∠ABC = 17*3 + 3 and

∠ABC = 54°