What is the combined length of all the pieces Meg measured? Write an equation using a variable to show your work.
Lengths of wire
1 - 3 inches
2 - 5 inches
3 - 6 inches
3 - 7 inches
1 - 9 inches

Answer:

[tex]D=\sqrt{10}=3,16...[/tex]

Step-by-step explanation:

[tex]A(x_{1},y_{1})[/tex]

[tex]B(x_{2};y_{2})[/tex]

[tex]D=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]A(-6,2)[/tex]

[tex]B(-9;1)[/tex]

[tex]D=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]D=\sqrt{[-9-(-6)]^{2}+(1-2)^{2}}[/tex]

[tex]D=\sqrt{[-9+6]^{2}+(1-2)^{2}}[/tex]

[tex]D=\sqrt{[-3]^{2}+(-1)^{2}}[/tex]

[tex]D=\sqrt{9+1}[/tex]

[tex]D=\sqrt{10}=3,16...[/tex]

Answer:

The distance between  -6.2 and -9.1 is 2.9.

Step-by-step explanation:

Given : Two numbers -6.2 and -9.1.

To find : What is the distance between the numbers ?

Solution :

Let A=-6.2

B=-9.1

The distance between two number is [tex]d=|B-A|[/tex]

Substitute the values,

[tex]d=|-9.1-(-6.2)|[/tex]

[tex]d=|-9.1+6.2|[/tex]

[tex]d=|-2.9|[/tex]

[tex]d=2.9[/tex]

Therefore, The distance between  -6.2 and -9.1 is 2.9.

Answer:

D

Step-by-step explanation:

A is 4, which is rational,

B is just 1/3, which is rational,

C is -8, which is rational,

leaving D, which is 3.1415926535...

Answer:

D:QR+RS=QS

Step-by-step explanation:

We are given that

If point A, B and C are collinear, B is between A nd C, then AB+BC=AC

Points Q, R and S are collinear and R is  between Q and S.

We have to find the conclusion about given statement.

If R lie between Q and R

Then, QR+RS=QS (segment addition property)

Because point Q, R and S are collinear.

Therefore, option D is true.

Answer:D:QR+RS=QS

Answer:

-\sqrt{5}< x < \sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^{2} <5 => -\sqrt{5}< x < \sqrt{5}[/tex]

Answer:

[tex]-\sqrt{5} <x<5[/tex]

Step-by-step explanation:

The given expression is

[tex]x^{2} -5<0[/tex]

To solve this quadratic inequality, we need to isolate the variable and then apply the quadratic root at each side of the inequality, as follows

[tex]x^{2} <5\\x<\±\sqrt{5}[/tex]

Remember that a quadratic root has two results, one positive and one negative, which in this case would be

[tex]x<\sqrt{5}\\ x>-\sqrt{5}[/tex]

Remember that a negative factor changes the direction of the inequality relation to the opposite.

Therefore, the solution is

[tex]-\sqrt{5} <x<5[/tex]

That is, all values between [tex]-\sqrt{5}[/tex] and [tex]\sqrt{5}[/tex].

Answer:

r= 6p + 20

Step-by-step explanation:

given:

r= 3n + 20

also given that n = 2p

substituting n=2p into the above equation

r= 3n + 20

r= 3(2p) + 20

r= 6p + 20

25 000,000/10,000

Cross out equal amounts of 0's from both numbers:

There are 4 0's in 10,000, so remove 4 0's from both numbers to get:

2500/1

Any number over 1 is that number:

2500/1 = 2500

Answer:

573,626

Step-by-step explanation:

563626 + 10000 = 573626

Answer: 19. UQTX and UQRV

              20. TSWX and TSRQ

               21.  XTQU and XTSW

              22.  VWXU and VWSR

Step-by-step explanation:

The planes are the faces of the box.

19) QU intersects the left side and the front of the box, which is planes UQTX and UQRV

20) TS intersects the back and the bottom of the box, which is planes TSWX and TSRQ

21) XT intersects the left side and the back of the box, which is planes XTQU and XTSW

22) VW intersects the right side and the top of the box, which is planes VWXU and VWSR

The two planes that intersect in the given line are QTS and TUV.

In order to determine two planes that intersect in a given line, we can start by looking at the notation provided. Here, the given line is represented by the points 19.QU, 20.TS, 21.XT, and 22.VW. We can identify two planes that intersect in this line by observing the common points shared between them.

By analyzing the given line notation, we can see that the points U, T, and V are common to all four pairs of points, indicating that these points lie on the intersection of two planes. Therefore, the two planes that intersect in the line 19.QU 20.TS 21.XT 22.VW are the planes containing points QTS and TUV.

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Answer:

C. x = 3

Step-by-step explanation:

8x - 12 = 4x

+12        + 12

8x = 4x + 12

-4x   -4x

4x = 12

----   ---

4     4

x = 3

C. x = 3

8x-12= 4x

move -12 to the other side

sign changes from -12 to +12

8x-12+12= 4x+12

8x=4x+12

move 4x to the other side.

sign changes from +4x to -4x

8x-4x= 4x-4x+12

8x-4x= 12

4x=12

divide both sides by 4 to get x by itself

4x/4= 12/4

Answer: x= 3

Answer:

18 batches of pancakes

Step-by-step explanation:

22.5/1.25=18

Answer:

2`13.5

Step-by-step explanation:

5x13=65

65+362=427

427/2=213.5

Step-by-step explanation: everything can be divided by 2 and added together. Or distribute 5. Add them. Then divide by 2

Answer:

x = -7

Step-by-step explanation:

- 23 = 5 + 4x

- 5   = - 5

- 28 = 4x

/4     = /4

- 7 = x

Answer: x= -7

Step-by-step explanation:

you basically add 5 with 5 and they cancel out

You add 5 to -23 and get -28=4x and divide 4x and -28 which gets your answer

Answer:

Step-by-step explanation:

u keep multiplying see 2*2= 4*4=16*16=256*256=65536*65536= etc

Answer:

plato: 1,024

Step-by-step explanation:

Answer:

32 ft

Step-by-step explanation:

3+3+13+13=

32

Perimeter = 32 ft.

Since it is a rectangle, 2 sides measure 13ft, and 2 sides measure 3 ft.

13+13=26

3+3=6

26+6=32.

Answer:

6

Step-by-step explanation:

The digit in the hundredth place value of 6.02 is 2, so it rounds down.

The number 6.02, when rounded to the nearest tenth, results in 6.0, as '2' in the hundredths place is less than '5' and requires rounding down.

Given the number 6.02, rounding to the nearest tenth means identifying what tenth it is closest to. The number in the tenths place is '0'. For rounding, we look at the digit following the tenths place, which is the hundredths place. Here, the number is '2'. If this number is 5 or more, we round up. If it's 4 or less, we round down. So, 6.02 to the nearest tenth, would be 6.0 because 2 is less than 5, so we round down.

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Population of 320 animals decreases at rate of 19 % = P = 320(0.81)t

What is percentage ?

Percentage means how much per hundredth.

we can write 20% as `1/5 in fraction. when we multiply a fraction by 100 we get the result in percentage.

In the given question

Population (P) = 320

Annual rate or per year decreasing percentage = 19%

As it decreases each year by 19% it retains (100 - 19)%= 81% of 320 animals

So in t years it will be P = 320([tex]\frac{81}{100}[/tex])t animals

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Answer:

2/8 or 1/4

Step-by-step explanation:

2 1/8 - 1 7/8 - Make improper fractions

17/8 - 15/8 - subtract them

2/8 - simplify

1/4 - final

In order to get the answer to this question you will have to change the mixed numbers into improper fractions and then subtract by finding the common denominator and then subtracting the numerators and reduce if needed to get your answer.

[tex]2\frac{1}{8} - 1\frac{7}{8}[/tex]

Convert into improper fractions:

[tex]2\frac{1}{8} =\frac{17}{8}[/tex]

[tex]1\frac{7}{8} = \frac{15}{8}[/tex]

[tex]\frac{17}{8} - \frac{15}{8}[/tex]

Find the common denominator:

[tex]CD=8[/tex]

[tex]17-15=2[/tex]

[tex]=\frac{2}{8}[/tex]

Reduce:

[tex]\frac{2}{8} \div2=\frac{1}{4}[/tex]

[tex]=\frac{1}{4}[/tex]

Therefore your answer is "1/4."

Hope this helps

Answer:

A graph has month on the x-axis and saved (money) on the y-axis. Points are at (0, 3,000), (2, 2,450), and (5, 1,625).

The instructor’s friend also plans to rent an apartment in the same complex. Use the graph to identify the y-intercept and the slope used to write the equation in slope intercept form.

y-intercept =

✔ 3000

Slope =

✔ –275

Linear equation =

✔ y = -275x + 3000

Step-by-step explanation:

The linear equation which models the data represented by the graph written is slope - intercept form is :y= - 275x + 3000

General form of a slope - intercept equation :

Slope = Rise / Run

The slope, b:

Slope = (1375 ÷ -5) = - 275

The intercept, c:

This is the point on the graph where the trend line crosses the y-axis.

Hence, the intercept is 3000

Therefore, the slope - intercept equation is y= - 275x + 3000

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Answer: Orlando mixed five pounds of cereal squares and 25 pounds of nuts.

Answer:

5 lbs cereal squares.

25 Ibs nuts.

Step-by-step explanation:

Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.

Total weight of the party mix is 30 pounds.

[tex]x+y=30[/tex]              ..... (1)

It is given that,

Cost of nuts = $7 per pound

Cost of cereal = $4 per pound

The cost of mix = $6.50 per pound.

[tex]7x+4y=6.50\times 30[/tex]

[tex]7x+4y=195[/tex]          ..... (2)

Substitute the value of x in equation (2) from equation (1).

[tex]7(30-y)+4y=195[/tex]

[tex]210-7y+4y=195[/tex]

[tex]-3y=195-210[/tex]

[tex]-3y=-15[/tex]

Divide both sides by -3.

[tex]y=5[/tex]

Substitute y=5 in equation (1).

[tex]x+5=30[/tex]

Subtract both sides by 5.

[tex]x=30-5[/tex]

[tex]x=25[/tex]

Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.

Answer:

That's it... Just sum it ul

Answer:

The shares were worth $8800, when they were originally purchased.

Step-by-step explanation:

After several shares of the company's stock were sold, a profit of $1,320 was earned.

The profit was 15% over a 30 day period.

Let the original price of the shares be = x

As there was a profit of 15% on x.

We get the following expression;

[tex]0.15x=1320[/tex]

Then x = 8800

Hence, the shares were worth $8800, when they were originally purchased.

Answer:

A. 7.2 centimeters

Step-by-step explanation:

The length of the base is 7.2 centimeters. The area of a rectangle is length*width

The length is unknown but the area is known. To find the length, all we have to do is divide the area from the height.

The working is as follows :

Area = 90 cm²

Height = 12.5 cm

Length = ?

Length = Area ÷ Height

= 90 ÷ 12.5

= 7.2cm

The length of the base of the rectangle is found by dividing the area by the height, which gives 7.2 centimeters.

The subject is about finding the length of the base of a rectangle given its area and height. The formula to find the area of a rectangle is Area = Length x Width. From the question, we know the Area is 90 square centimeters and the height (which can also be considered as the Width) is 12.5 centimeters. Therefore, we can arrange the formula to solve for Length: Length = Area / Width.

Substituting the given numerical values we find: Length = 90 / 12.5 = 7.2 centimeters. So, the correct answer is 7.2 centimeters (Option A).

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Answer:

The solution is {6, -7}.

Step-by-step explanation:

2x + y = 5

x – y = 13  Adding these 2 equations eliminates y:

3x + 0 = 18

x = 6.

Substituting for x in equation (1):

2(6) + y = 5

y = 5 - 12 = -7.

The ordered pair that is a solution to the linear system of equations, (2x + y = 5) and (x - y = 13), is (6, -7). The solution was found by using the elimination method.

You can solve this linear system by using the substitution or elimination method. Here, I will use the elimination method, which involves adding or subtracting the equations to eliminate one of the variables.

So the

ordered

pair that is a solution to the linear system is (6, -7).

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Option 2 is correct.

[tex]\[ y = \frac{1}{5}x + \frac{12}{5} \][/tex]

To find the equation of a line that is parallel to the given line and passes through the point (-2, 2), we follow these steps:

1. Determine the slope of the given line. Parallel lines have the same slope.

2. Use the point-slope form of a line equation with the given point and the determined slope to find the equation of the parallel line.

From the graph, we can see that the given line passes through points (0, -3) and (-5, -4). To find the slope (m) of the line, we use the slope formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Substituting the given points, we get:

[tex]\[ m = \frac{-4 - (-3)}{-5 - 0} \][/tex]

[tex]\[ m = \frac{-4 + 3}{-5} \][/tex]

[tex]\[ m = \frac{-1}{-5} \][/tex]

[tex]\[ m = \frac{1}{5} \][/tex]

Now we have the slope of the parallel line, which is[tex]\( \frac{1}{5} \)[/tex]. The point-slope form of the line equation is [tex]\( y - y_1 = m(x - x_1) \)[/tex]. Plugging in the slope and the point (-2, 2), we get:

[tex]\[ y - 2 = \frac{1}{5}(x - (-2)) \][/tex]

[tex]\[ y - 2 = \frac{1}{5}(x + 2) \][/tex]

Now we simplify and solve for  y  to put it in slope-intercept form ( y = mx + b ):

[tex]\[ y - 2 = \frac{1}{5}x + \frac{2}{5} \][/tex]

[tex]\[ y = \frac{1}{5}x + \frac{2}{5} + 2 \][/tex]

[tex]\[ y = \frac{1}{5}x + \frac{2}{5} + \frac{10}{5} \][/tex]

[tex]\[ y = \frac{1}{5}x + \frac{12}{5} \][/tex]

So the equation of the line that is parallel to the given line and passes through the point (-2, 2) is:

[tex]\[ y = \frac{1}{5}x + \frac{12}{5} \][/tex]

Final answer:

Cindy drew a total of 312 pictures over two years, calculating from three pictures per week for 52 weeks each year, then doubling the result for the two years.

Explanation:

To calculate the total number of pictures Cindy drew over two years, we start by determining the number of pictures she draws each week.

Since Cindy draws three pictures each week, we multiply that number by the number of weeks in one year.

There are 52 weeks in one year.

So, the number of pictures Cindy draws in one year is:

Since the question is about a two-year period, we multiply the annual amount of pictures by two:

Therefore, Cindy drew a total of 312 pictures over two years.

The required sentence are 3 + 7 = 10 could help solve this problem 3 + 5 + 7 =15. Option C is correct.

Given that,
Which additional sentence could help solve this problem 3 + 5 + 7 =15 is to be determined.

The technique in computation to use and analyze the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it vends on a number of procedures according to the declarations. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,

Here,
The sentence could help solve this problem 3 + 5 + 7 =15
3 + 7 + 5 = 15 - - - - - - -(1)
3 + 7 = 10
Put it in equation 1
10 + 5 = 15

Thus, the required sentence are 3 + 7 = 10 could help solve this problem 3 + 5 + 7 =15. Option C is correct.

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For this case we have to:

n: Represents the weight of Mary in Kg.

If your sister weighs 15 kg less we have:

[tex]y = n-15[/tex]

Where "y" represents the weight of his sister in kg.

To find how many times Mary is heavier than her sister, we must divide Mary's weight by her sister's weight.

We have then:

[tex]N= \frac{n}{n-15}[/tex]

Answer:

Mary is [tex]N= \frac{n}{n-15}[/tex] times heavier than her sister.

Answer:

Mary weighs[tex]\frac{n}{(n-15)}[/tex]heavier than her sister.

Explanation:

As we have given the data  in the question that  

Weight of marry = n kg

Weight of Marry sister = n-15 kg

Let Marry be ‘K' times heavier than her sister then it means that  

K=[tex]\frac{n}{(n-15)}[/tex]

And we can write the above equation as

K(n-15) = n

K=[tex]\frac{n}{(n-15)}[/tex]

which completely explains the above statement that Weight of the marry is K times the weight of her sister.

So the correct answer is  K=[tex]\frac{n}{(n-15)}[/tex]

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4

Equating to zero, that is

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ⇒ x = - 2

Answer:

[tex]\boxed{\text{x = -2}}[/tex]

Step-by-step explanation:

ƒ(x) = x² - 2x

g(x) = 6x + 4

(f + g)(x) = x² - 2x + 6x + 4 = x² + 4x + 4  

[tex]\begin{array}{rcr}x^{2} + 4x + 4 & = & 0\\(x + 2)^{2} & = & 0\\x+2 & = & 0\\x & = & \mathbf{-2}\\\end{array}[/tex]

[tex](f + g)(x) = 0 \text{ when } \boxed{\textbf{x = -2}}[/tex]

Check:

[tex]\begin{array}{rcl}(-2)^{2} + 4(-2) + 4 & = & 0\\4 - 8 + 4 & = & 0\\0 & = & 0\\\end{array}[/tex]

OK.

Answer:

10^{3\\}

Step-by-step explanation:

10x10x10x0.02

=20

Have a nice day!!!!

KA