An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?

Answers

Answer 1

Answer:

option a c d are correct

Step-by-step explanation:

Answer 2

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,

        Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

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Related Questions

Para abastecer o seu carro com 30 litros de gasóleo a Inês demorou 1 minuto e 40 segundos. Com a mesma mangueira, quanto tempo é necessário para encher um recipiente com a forma de um cone e uma semiesfera com 10 cm de raio e, o cone, com 10 cm de altura?

Answers

Answer:

hahdg duchy jejeurur y ed sethi. riruru. udhrhru. ueeh

Find the area of parallelogram with base b and height h
b=82.cm
h=16.6cm

Answers

area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

Escribe las siguientes cantidades en forma de notación científica

a. 1'300.000 segundos
b. 450 metros
c.2'000.000.000.000.000.000 litros
d. 68 metros ​

Answers

Answer:

I don't know. I am sorry

Step-by-step explanation:

PLEASE HELP!!
Cody bought two pairs of gloves and four hats for $43. Tori bought two pairs of gloves and two hats for $30. What are the prices for the gloves and hats? Write a system of equations!

Answers

Answer:

2g + 4h = 43

2g + 2h = 30

Step-by-step explanation:

Answer:

pairs of gloves = x

hats = y

2x + 4y = 43

2x + 2y = 30

hats = $6.50

gloves = $8.50

Step-by-step explanation:

use the elimination method to solve this system.

subtract the first equation by the second.

2x + 4y = 43

- 2x + 2y = 30

--------------------

         2y = 13

y = 6.5

plug in the y value to find x

2x + 4 (6.5) = 43

2x + 26 = 43

2x = 17

x = 8.5

Find the value of x for brainliest

Answers

Answer:

x=27.5

Step-by-step explanation:

x/4=55/8

Cross multiply:

8x=220

Divide:

8x/8=220/8

x=27.5

Please I need help does anyone know a hack for khan academy

Answers

Answer:

Answer:

0.3643

Step-by-step explanation:

Standard Form and Scientific Notation

What is standard form of numbers?

Standard form is the normal way of writing numbers no matter how big or small the number is.

Examples:

15,000,000

0.0000000678

What is scientific notation?

Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.

Examples:

1.3 × 10⁶

34.5 × 10^⁻9

Going back to the question above, we need to convert the given scientific notation to its standard form.

Converting of Scientific Notation to Standard Form

To convert a number from scientific notation to standard form, move the decimal point.

The exponent tells the direction and the number of times we need to move the decimal point.

The positive exponent indicates a large number so we need to move the decimal point to the right.

The negative exponent indicates a small number so we need to move the decimal point to the left.

Do not write the power of 10 anymore.

Solution:

Now, let us convert 3.643 x 10^-1 in standard form.

The exponent is negative 1 so we will move the decimal point to the left once.

3.643 = 0.3643

At the market you can buy 6 bags of apples for $25. At the orchard you can get 8 bags of apples for $35. Which is the better deal?

Answers

Answer:

6 bags for $25

Step-by-step explanation:

25/6 = 4.16666666667 = $4.17 per bag

35/8 = 4.375 = $4.37 per bag

The better deal for the bags of apples is at the market

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To determine which is the better deal, we can compare the prices per bag of apples at the market and the orchard.

At the market:

Price of 6 bags of apples = $25

Price per bag of apples = $25 / 6 ≈ $4.17 (rounded to two decimal places)

At the orchard:

Price of 8 bags of apples = $35

Price per bag of apples = $35 / 8 ≈ $4.38 (rounded to two decimal places)

Comparing the two prices per bag of apples, we can see that the price per bag at the market is $4.17, while the price per bag at the orchard is $4.38.

Hence , the better deal is at the market where you can buy 6 bags of apples for $25, resulting in a lower price per bag compared to the orchard.

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Juan works at a health food store
two hours a day, three days a
week. His weekly pay is $73.50.
About how much does Juan make
per hour?

Give me the right answer and I’ll mark your answer the brainliest

Answers

Answer:

12.25 per hour

Step-by-step explanation:

have a great day!

The answer is 12.25.

I'm sure about the answer.

2a+3b=5
b=a-5 help please

Answers

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

A line with a slope of 2 passes through the point (2,4). what is its equation in slope-intercept form?​

Answers

Answer:

y = 2x + 0

Step-by-step explanation:

Mind lending me a hand

Answers

Answer:

54

Step-by-step explanation:

55 + 74 + 78 + z + z + 45 = 360

252 + 2z = 360

2z = 108

z = 54

Answer: 288

Step-by-step explanation:

78+74+55=207

The degree of a pentagon is 540°

so 540-207=333

so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...

PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!

Answers

g(h(0)) = 20

h(x) = x+4
h(0) = 0+4
h(0) = 4

g(x) = 5x
g(h(0)) = g(4) = 5(4) = 20

2 multiplied by 4 times
a. 81
b. 8,000
c. 16
20 is the base, 3 is the exponent
a. 81
b. 8,000
c. 16

Answers

Answer:

2×2×2×2=16. hope u like it

1. 16 2x2x2x2= 16 answer is C

2. 8,000 20x20x20=8,000 answer is b

Ms. Fleener's fish tank has a bottom area of 102 square
centimeters. If the height of the fish tank is 12 centimeters, how
many cubic centimeters of water does the fish tank hold?
I

Answers

Answer:

1224 cm^3

Step-by-step explanation:

volume = bottom area x height

102x12=1224

The fish tank holds 1224 cc of water.

What is volume?

In mathematics, volume is the space taken by an object.

Here, given that,

The area of the bottom of the tank =A= 102 cm²

now, the height of the water in tank = h= 12cm

we know, volume of water= A× h  

                                           =102×12 cc

                                           =1224 cc

Hence, required volume is 1224 cc

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In a pet store,the ratio of dogs to cats is 3 to 2. if there are 15 dogs, how many cats are there at the pet store? NEED HELP ASAP

Answers

Answer:

10 cats

Step-by-step explanation:

dogs:cats = 3:2=15:x

3x=15.2

3x=30

x=10 cats

since the ratio is 3:2, you can set up your equation like 3/2 = 15/x. then cross multiply and that will get you 30 = 3x and x will equal 10. this means that there are 10 cats and 15 dogs. hope that helps!

7/20% off 25 is what?

Answers

Answer:

As a fraction: 7/80

0.0875

Step-by-step explanation:

If you meant 20% it is 5.

Raon has a pitcher that holds three and seven-hundredths liters of orange juice.

If he divides the juice equally into ten glasses, how many liters of juice will be in each glass?


Choose all the correct answers

0.307

3 x 1 x 7 x 1/100


3 x 1/10 + 7 1/1000


3 x 100 + 7 x 1/ 1000


3.07


3 x 1/10 + 7 x 1/100

Answers

Answer:

A

Step-by-step explanation:

Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?

Answers

The answer is $2000 your welcome

A number is multiplied by 6, and the result is 48.6.​

Answers

Answer:

8.1

Step-by-step explanation:

We denote the number as x.

6 * x = 48.6

We can divide both sides by 6 to get,

x = 8.1

Answer:

8.1

Step-by-step explanation:

Let the unknown number be n.  Translating this statement into symbols, we get:

6n = 48.6

Solving for n by dividing both sides by 6, we get  n = 8.1

The number is 8.1

15) Dan is putting a fence around his circular swimming pool. If the pool
has a diameter of 13.5 feet and fencing costs $6 per foot, how much will
he spend?

Answers

Answer: 2

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

You have to divide 13.5 and 6 to get your answer

cuantas combinaciones de 5 cifras se pueden hacer con los sig numeros 1,2,3,4,5

Answers

Responder:

Hay 120 combinaciones posibles

2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3

Answers

The answer should be y=3x-3 hope this helps!

Anits takes 8 hours to build 5 birdhouses. How many birdhouses could she Build in 24 hours?

Answers

The answer would be 15 because the problem states that it takes 8 hours to build 5 birdhouses and they want to know how many she can build in 24 hours if you multiply 8 and 5 with the number 3 you would get 24 hours and 15 birdhouses.

Write the equation 6x – 3y = 9 in slope-
intercept form.

Answers

the answer to this question is y=2x-3

The Answer is is y=2x-3

Step-by-step explanation:

The age at which a person can be tried as an adult

Answers

Answer:

giyi

Step-by-step explanation:

Adeel and shayan are given money in the ratio 4:5 if adeel has RS 1179 after the adjustment, how much did he have in the original share out

Answers

Answer:

$2652.75

Step-by-step explanation:

Let b represent the original amount shared out

The equation representing how much adeel received is

4/9 x b = RS 1179

To find b, divided both sides by 9/4

b = $2652.75

A bag contains 4 red, 3 green, and 2 yellow marbles. One marble is randomly chosen What is the probability that the marble picked is red?​

Answers

Answer:

4/9 is the answer.

Answer:

there is more red marbles then the others

Step-by-step explanation:

The ratio of one side of ACDE to the corresponding side of a similar AFGH IS 2:5. The perimeter of A CDEIS 9.2 inches.
Find the perimeter of AFGH.

Answers

Answer:

25:16 is the ans hope that helps!

9514 1404 393

Answer:

  23 inches

Step-by-step explanation:

The perimeters have the same ratio. Multiplying the ratio figures by 4.6 gives ...

  2 : 5 = (4.6)2 : (4.6)5 = 9.2 : 23

The perimeter of ΔFGH is 23 inches.

olve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

3(x+1)=3x+3
-2(x-1)+6=-2x+2+6=-2x+8
3x+3=-2x+8
X=1 because 3(1)+3=6 and -2(1)+8=6

The first equation in a system is 5x + 2y = –4. Which equation gives a system with no solution? A. y = 2x + 6 B. y = 1/4x – 2 C. y = 2x + 7 D. y = –5/2x – 3

Answers

Given:

The first equation of the system of equations is

[tex]5x+2y=-4[/tex]

To find:

The equation that gives a system with no solution.

Solution:

We have,

[tex]5x+2y=-4[/tex]

It can be written as

[tex]2y=-5x-4[/tex]

[tex]y=\dfrac{-5x-4}{2}[/tex]

[tex]y=-\dfrac{5}{2}x-2[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=-\dfrac{5}{2},b=-2[/tex]

It means the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is -2.

Slope of parallel lines are same but the y-intercepts are different.

From the given options, the slope of the line is [tex]-\dfrac{5}{2}[/tex] only in option D and the y-intercept is -3 which is different from -2.

The line [tex]y=-\dfrac{5}{2}x-3[/tex] is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is [tex]y=-\dfrac{5}{2}x-3[/tex].

Therefore, the correct option is D.

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