(12) Geographers use negative numbers to represent points below sea level and positive numbers for points above 1
level. A penguin dove 5 meters below sea level to catch fish for his family, who are sitting on an Iceberg 1 meter above
sea level. What is the difference in elevation between the family and the penguin?
Please!

Answer:

(3,-4)

Step-by-step explanation:

10 inches

(300 square inches devided by 30 inches)

it is 10 inches wide!

explanation:

300/30=10

Answer:

44-2n

Step-by-step explanation:

Hope it helps!

Final answer:

The expression '44 decreased by twice a number' can be represented as 44 - 2n, where n is the unknown number.

Explanation:

The question involves expressing a given mathematical relationship using a variable. Here, the relationship is '44 decreased by twice a number.' To represent this situation with the variable n, we use the expression 44 - 2n. To simplify further, just substitute the variable 'n' with the unknown number. This represents the original number 44 being reduced by two times the value of some unknown number n.

Doug have 30 quarters and 15 dimes.

Step-by-step explanation:

Given,

Number of coins = 45

Worth of coins = $9.00 = 9.00*100 = 900 cents

Each quarter = 25 cents

Each dime = 10 cents

Let,

x be the number of quarters

y be the number of dimes

According to given statement;

x+y=45            Eqn 1

25x+10y=900   Eqn 2

Multiplying Eqn 1 by 10

[tex]10(x+y=45)\\10x+10y=450\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](25x+10y)-(10x+10y)=900-450\\25x+10y-10x-10y=450\\15x=450[/tex]

Dividing both sides by 15

[tex]\frac{15x}{15}=\frac{450}{15}\\x=30[/tex]

Putting x=30 in Eqn 1

[tex]30+y=45\\y=45-30\\y=15[/tex]

Doug have 30 quarters and 15 dimes.

Keywords: linear equation, elimination method

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Doug has 30 quarters and 15 dimes.

Let

x = number of quarters

y = number of dimes

The total number of coins is 45. Therefore,

Total amount of the coins is $9. Therefore,

Therefore,

x + y = 45

0.25x + 0.1y = 9

0.1x + 0.1y = 4.5

0.25x + 0.1y = 9

0.15x = 4.5

x = 4.5 / 0.15

x = 30

y = 45 - 30

y = 15

learn more on quarter and dimes here:https://brainly.com/question/244382?referrer=searchResults

Answer:its 29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

b + g + m  = 1020

b = 2g

m = b + 225

The number of balcony tickets = 318

The number of gallery tickets = 159

The number of main floor tickets = 543

Step-by-step explanation:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

i) Therefore we can write b + g + m  = 1020

ii) there were twice as many balcony tickets sold as gallery tickets

   therefore b = 2g      [tex]\Rightarrow[/tex]  g = 0.5b

iii) there were 225 more main floor tickets than balcony tickets

   therefore m = b + 225

iv) using equation ii) and equation iii) in equation i) we can write

     b + g  + m = b + 0.5b + b + 225  = 1020      [tex]\Rightarrow[/tex] 2.5b  = 795     [tex]\Rightarrow[/tex]  b = 318

v) g  = 0.5 b  = 0.5 [tex]\times[/tex] 318 = 159

vi) m = b + 225 = 318 + 225 = 543

Answer:

D. Gallery: g

Balcony: 2g

Main Floor: 2g+225

Step-by-step explanation:

Gallery is g

Balcony had 2 times as many tickets than Gallery so 2•g (2•gallery)

Main floor had 225 more tickets than Balcony so Balcony’s equation plus 225 tickets. 2g + 225

Answer:

P = 105°

QR = 11.6

M = 45°

LN = 8.5

Step-by-step explanation:

when reading the order of what is given LMN = PRQ the order DOES matter

so whe looking at what is being asked....

P will equal whatever its place is in the opposite equation. In this case that is L. This means that P = L. Since L = 105° then so does P.

You can do this with the rest of the letters. What ever letter is in it's place in the opposite equation that is what it equals.

There was a decrease of 20% in membership from October to November.

Step-by-step explanation:

Step 1; To find the percent by which the running clubs membership decreased we must find the difference between the number of members in October and the number of members in November. The number of members in the club in October was 25 whereas it reduced to 20 in the month of November.

Difference in members = Number of members in October -Number of members in November = 25 - 20 = 5

Step 2; To find the percent decrease in number of members in the running club, we divide the difference in number of members by the number of members in November . We multiply this value by 100 to get it in terms of percentage.

Percent decrease in number of members =(Difference in members / number of members in November) *100

                                                                      = (5/25) * 100 = 0.20 * 100 = 20%

So number of members in the club decreased by 20% from October to November.

Answer:

Whats the full question ?

Step-by-step explanation:

Answer:

37.4p  ≥ 170

5 packages

Step-by-step explanation:

The inequality is:

37.4p  ≥ 170

Renna needs to remove a minimum of 555 packages from the elevator to meet the mass requirement.

Also the answer above is not ok to do.

Saying random things just for the points is wrong.

Instead you can say it where it says comment under the question

Hope this helps ;)

Answer:

[tex]\$18,453.78[/tex]  

Step-by-step explanation:

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final amount owed  

P is the amount borrowed

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=7\ years\\ P=\$8,000\\ r=12\%=12/100=0.12\\n=12[/tex]  

substitute in the formula above

[tex]A=8,000(1+\frac{0.12}{12})^{12*7}[/tex]

[tex]A=8,000(1.01)^{84}[/tex]  

[tex]A=\$18,453.78[/tex]  

Answer:

1 1/2 feet

Step-by-step explanation:

We know that she needs 1 3/4 feet of wrapping paper per gift and she has a total of 8 1/2 feet.

The number of gifts she can wrap is:

[tex]8.5/1.75=4.86[/tex]

She can wrap four gifts

Therefore:

[tex]4\cdot{1.75}=7[/tex]

She will use 7 feet of wrapping paper and she has:

[tex]8.5-7=1.5[/tex]

She has 1 1/2 feet of wrapping paper left

Answer:

11/2

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

this is the negative scale, so the bigger the smaller

Answer:-15

Step-by-step explanation:

-15 is 15 away from 0 while -5 is only 5 away from 0

Answer:

[tex]t = 5[/tex]

Step-by-step explanation:

By the mid-segment theorem of triangles,

[tex]VX= \frac{1}{2} YZ[/tex]

We substitute the expressions in terms of t.

[tex]10t = \frac{1}{2} (t + 95)[/tex]

We multiply through by 2 to get:

[tex]20t = t + 95[/tex]

Subtract t from both sides:

[tex]20t - t = 95[/tex]

[tex]19t = 95[/tex]

Divide both sides by 19:

[tex]t = \frac{95}{19} [/tex]

[tex]t = 5[/tex]

Answer:

look at picture shown.

Answer:

24

Step-by-step explanation:

4 times 6 =24

Answer:

Ishaan is 2 years old and Ben is 8

Step-by-step explanation:

Ben is 4 x (2) = 8

Ben is 6 + (2) = 8

Question:

What is the measure of angle X?

The image of the measurements is attached below:

Answer:

The measure of angle x is 83°

Explanation:

Since, Vertical angles have equal measure,

Let us consider that the angle opposite to 41° is ∠y and they are equal.

i.e, ∠y = 41°

Since, the angles in a straight line add up to 180°, we have,

∠x + ∠y + 56° = 180°

Substituting the value ∠y = 41°, we have,

∠x + 41° + 56° = 180°

Adding the terms, we get,

∠x + 97° = 180°  

Subtracting both sides by 97°, we get,

∠x = 83°

Thus, the measure of ∠x is 83°

Answer:

83 degrees

Step-by-step explanation:

I took the test

Answer: No

Step-by-step explanation: 12 x 4 is 48. 12 x 1/4 is the same as dividing 12 by 4, which gives you 3. 3 is not equal to 48.

The correct statement is that the number 3 is not equal to 48.

I do not agree with him.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

Kim says that multiplying 1/4×12 is the same as dividing 12 x 4

The multiplication of 12×4 = 48.

1/4×12 is the same as dividing 12 by 4, which gives you 3.

Therefore, 3 is not equal to 48.

I do not agree with him.

More about the simplification link is given below.

https://brainly.com/question/12616840

Answer:

89%

Step-by-step explanation:

Percent is a number out of 100.

If you got 89 out of 100, you got 89%

[tex]\boxed{A=50units^2}[/tex]

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any regions so I'll help you assuming a system of inequalities that leads to a shaded region that is a right triangle as shown in the figure below. The system is the following:

[tex]\left\{ \begin{array}{c}x>0\\y>0\\y<-x+10\end{array}\right.[/tex]

From the figure below, the shaded region is a right triangle with base 10 units and height 10 units. So:

[tex]A=\frac{b\times h}{2} \\ \\ \\ A:Area \ of \ the \ triangle \\ \\ b:base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle[/tex]

So:

[tex]A=\frac{10\times 10}{2} \\ \\ A=\frac{100}{2} \\ \\ \boxed{A=50units^2}[/tex]

Area of a triangle: https://brainly.com/question/9835350

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Answer:

A line plot graph will show the repetition or frequency of information or value in a number line.

This line plot graph can be used to compare numbers over a certain limit. It is a simple and quick way to order data.

Steps to draw plot graph:-

Ascending order: [tex]1\frac{1}{2}, 2\frac{1}{2} ,2\frac{3}{4} ,3,3\frac{1}{2}, 3\frac{3}{4}.\\[/tex]

refer the diagram below for the answer.

Answer:

8:32

Step-by-step explanation:

1x+4x=40

5x=40

x=8

1*8:4*8

8:32

Answer:

24

Step-by-step explanation:

Answer:

5x+2

Step-by-step explanation:

P=2L+2W

14x+4=2(2x)+2W

14x+4=4x+2W

14x+4-4x=2W

14x-4x+4=2W

10x+4=2W

(10x+4)/2=W

5x+2=W

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

[tex]\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}[/tex]

[tex]\text{Price of pair of jeans this year}=\$75+\$75\times0.02[/tex]

[tex]\text{Price of pair of jeans this year}=\$75+\$1.5[/tex]

[tex]\text{Price of pair of jeans this year}=\$76.5[/tex]

Therefore, the price of pair of jeans would be $76.5 this year.

Final answer:

To determine the proper number of significant figures in a calculation, follow the rules for addition/subtraction and multiplication/division, and round the final answer to the proper number of significant figures.

Explanation:

To determine the proper number of significant figures in a calculation, follow these rules:

Using these rules, the proper number of significant figures for the given calculations are:

A.) 320.80 - (6101.3 / 1.8) = 300

B.) [(286.4 x 105) - (1.300 x 103)] x 2.8951 = 839000

C.) (0.0041 x 26000.0) + (2811 x 15) = 40000

D.) 863 x [1251 - (3.11 x 109)] = -1.7742e12

Answer:

11 + 2x

Step-by-step explanation:

First you will want to separate like variables, so (6, 5) and then (-2x, 4x)

Then you will use the signs to do the math. You can move everything to help visualize the solution easier.

6+5+4x-2x

6+5 = 11

4x-2x = 2x

Because you cannot add or subtract a variable with a non variable, and both numbers are positive you end up with

11 + 2x

The expression 6-2x+5+4x simplifies to 11 + 2x by combining like terms: the constants (6+5=11) and the variables (-2x+4x=2x).

To simplify the expression 6-2x+5+4x, we start by combining like terms. Combining the constant terms (6 and 5) and the variable terms (-2x and 4x), we get:

Constant terms: 6 + 5 = 11

Variable terms: -2x + 4x = 2x

Thus, the simplified expression is 11 + 2x.

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

7/8 x 8/3 = ?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

7 x 8

8x3

56/24

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 24 using

GCF(56,24) = 8

56/8 = 7

24/8 = 3

The fraction 7/3 is the same as 7 divided by 3

Convert to a mixed number using long division for 7 ÷ 3 = 2R1, so

Therefore:

7/3 = 2 1/3

2 1/3

The required quotient is 7/3 when 7/8 is divided by 3/8.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

The division operation is given in the question following as:

⇒ 7/8 ÷ 3/8

We have to determine the quotient when 7/8 is divided by 3/8

As per the given question, we have

⇒ 7/8 ÷ 3/8

⇒ (7/8) / (3/8)

Reciprocal the terms in the numerator, and we get

⇒ (7/8) × (8/3)

Apply the multiplication operation,

⇒ 56/24

Reduce the above fraction to the simplest form

⇒ 7/3

Therefore, the required quotient is 7/3 when 7/8 is divided by 3/8.

Learn more about the quotient here:

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Answer:

N = 6 - 2

Step-by-step explanation:

Take each part of the word expression and translate it:

"N"   =>  N        ("N" is a variable that represents a number you don't know)

"is the same as"   =>  =       ("the same" means equals)

"6 reduced by 2"   =>  6 - 2          ("reduced" means use subtraction "-")

Put the sentence back together in the same order.

N = 6 - 2

If you wanted to find "N", you can simplify by doing 6 - 2.

N = 4