Find the unit rate. Round to the nearest hundredth, if necessary.

$3.99 for 18 lb

Answer:

A) The actual length of the microchip is 3 centimeters.

B) The actual width of the microchip is 2 centimeters

C) The ratio of the original scale drawing measurements to the new scale drawing measurements is 2 inches to 3 inches.

Step-by-step explanation:

A) actual length = scale length × reciprocal of scale factor

The scale is 2 inches to 1 centimeter, so the scale factor is. 2in/1cm  The reciprocal of the scale factor is. 1cm/2in The length of the chip in the scale drawing is 6 inches.

= 6 in.  x  (1cm/2in)

= 3 cm

B) actual width  = scale width × reciprocal of scale factor

= 4 in. x  (1cm/2in)

= 2 cm

C) The original scale drawing, the microchip was 6 inches long. It is now 9 inches long.

Ratio: 6in/9 in 3in/2in

The microchip was 4 inches wide. In the new scale drawing, the microchip is 6 inches wide.

Ratio: 4in/6in  2in/3in

Answer:

155 acres

Step-by-step explanation:

corn = 215

wheat = 215 - 60 = 155

Answer:

[tex]\large\boxed{ \sf 16x+12}[/tex]

[tex]\rightarrow \sf 4(5x+3)-4x[/tex]

[tex]\rightarrow \sf 4(5x) +4(3)-4x[/tex]

[tex]\rightarrow \sf 20x +12-4x[/tex]

[tex]\rightarrow \sf 20x -4x+12[/tex]

[tex]\rightarrow \sf 16x+12[/tex]

B).16x+12

Step-by-step explanation:

Reason:

x = number of textbooks

650x = weight of all x books, at 650 grams each

3 kg = 3000 g

650x = 3000

x = 3000/650

x = 4.615 approximately

Round down to the nearest integer. This is because 4 textbooks weigh 4*650 = 2600 grams = 2.6 kg; while 5 textbooks weigh 5*650 = 3250 grams = 3.25 kg which is over the weight limit.

This means 4 books is the most the rucksack can hold. This is of course only when we have 4 of the same exact book.

Answer:

[tex]m\angle MNI = 135^{\circ}[/tex]

Step by step explanation:

[tex]\text{The exterior angle of a triangle = sum of two opposite interior angles.}[/tex]

[tex]~~~~~~\angle MNI = \angle LMN + \angle MLN\\\\\implies 19x+2=(15x-12)+6x\\\\\implies 19x +2 = 21x-12\\\\\implies 21x -19x = 12+2\\\\\implies 2x = 14\\\\\implies x=\dfrac {14}2\\\\\implies x = 7\\\\\text{So,}~ m\angle MNI = 19(7)+2=135^{\circ}[/tex]

Answer:

360

Step-by-step explanation:

blue square=lengthxwidthxheight

12x2x10=240

red square is same

8x3x5=120

120+240=360

Answer:

Unit fraction cubes is 8

Blue cube = 1/2

Step-by-step explanation:

1/2 in × 1/2 in × 1/2 in = 1/8 in³

unit fraction cubes × 1/8 in³ = 1 in³

then the unit fraction cubes is equal to 8

8 × 1/8 in³ = 1 in³

Answer:1/8 cubic inches is the volume of the cube

Step-by-step explanation:

Answer:

D. (1/3)

Step-by-step explanation:

If we look at the graph, there are a total of 12 squares, which means we have a denominator of 12.
Next if we look at the answer, it is asking if for the chance of us getting a number under 5 and is a heads, which means there are 4 squares that would apply to this (They have to be both under 5 and be a heads)

This results in us having a numerator of 4.

So If we put it together we get 4/12, which when simplified equals 1/3!

Hope this helps! If you have any further questions, feel free to comment and if this somehow is wrong, let me know so i can fix my answer for future users!

Answer:

-16n - 41

Step-by-step explanation:

To simplify the equation, you need to get rid of the parentheses by multiplying the numbers outside the parentheses to the numbers inside. Then, you can combine the similar terms.

2(-n - 3) - 7(5 + 2n)                         <---- Original equation

-2n - 6 - 7(5 + 2n)                           <---- Expand first parentheses by mult.

-2n - 6 - 35 - 14n                            <---- Expand second parentheses by mult.

-16n - 6 - 35                                    <---- Combine terms with "n"

-16n - 41                                          <---- Combine whole numbers

Answer:-2n-29

Step-by-step explanation:2*-n=-2n

2*-3=-6

-7*5=35

-7*2n=-4n

2n-6-35-44n

2n-4n=-2n

6-35=-29

2n-29

Answer:

  a. see the attachment for the table (also reproduced below)

  b. slope = -3; see the attachment for a graph

Step-by-step explanation:

A table of values for the function can be filled a couple of ways. One way is to draw the graph of the equation, and read the point values from it. Another way is to solve for each of the variables, and use those equations to find the missing table values.

__

Solving the equation for y, we get ...

  3x +y = 15

  y = -3x +15 . . . . . . subtract 3x; this is "point-slope form"

For the purpose of evaluating for different values of x, we can rearrange this a bit to ...

  y = 3(5 -x) . . . . factor out 3

The given table has x-values of 0, 2, 3, 6. The corresponding y-values are ...

  y = 3(5 -{0, 2, 3, 6}) = 3{5, 3, 2, -1} = {15, 9, 6, -3} . . . . for x={0, 2, 3, 6}

Solving the equation for x, we get ...

  y/3 = 5 -x . . . . . divide the above equation by 3

  x = 5 -(y/3) . . . . . add x-(y/3)

For y-values {0, 3, 8}, the corresponding x-values are ...

  x = 5 -{0, 3, 8}/3 = 5 -{0, 1, 8/3} = {5, 4, 7/3} . . . . for y={0, 3, 8}

Then our table of values is ...

  [tex]\begin{array}{|c|c|c|c|c|c|c|c|}\cline{1-8}x&2&4&6&0&3&5&7/3\\y&9&3&-3&15&6&0&8\\\cline{1-8}\end{array}[/tex]

__

The points in the above table can be plotted, and the line drawn through them. Sometimes using the points that are farthest apart makes this easier: (0, 15) and (6, -3).

slope

When we solved for y, we had the equation in slope-intercept form. The slope is the x-coefficient in that equation:

  y = -3x +15   ⇒   slope = -3

Answer: 8√2

Step-by-step explanation:

Plug in with the Pythagorean theorem: a^2 + b^2 = c^2

So we have 18^2=14^2 + x^2

Solve for X

X is 8√2

Answer:

(-10,0)(-5,0)(-10,-10)(-10,-5)

Step-by-step explanation:

If we count each box as one unit then we just count and if you left or down it is negative

Answer:

The angles are complementary, hence the answer is the second one.

Step-by-step explanation:

Since 90° - 65° = 25°, we know that 5x =25°, hence x is equal to 25° ÷ 5, which is 5°, hence, x = 5° and the answer is the second one

Hope this helps :))

P.s. can you mark me as the brainliest? <3

Answer:

  (b)  Complementary; x = 5

Step-by-step explanation:

Angles are complementary when the total of their measures is 90°. Angles are supplementary when the total of their measures is 180°. A right angle has a measure of 90°, so any pair of angles that has the same total measure as a right angle are complementary angles.

__

The little square in the corner of the figure indicates that angle is a right angle, and has a measure of 90°. The ray headed off to the northeast divides that 90° angle into two parts, labeled 65° and 5x°. In math, the whole is the sum of the parts, so the 90° angle is the sum of the 65° and 5x° angles.

Those two angles total 90°, so they are complementary.

Now that you understand the sum of the two marked angles is 90°, you can use that fact to write an equation:

  65° +5x° = 90° . . . . equation relating the complementary angle measures

This is a 2-step linear equation, so is solved the way that kind of equation is solved.

  5x° = 25° . . . . . step 1: add the opposite of 65° to get the x-term alone

  x = 5 . . . . . . . . .step 2: divide by the coefficient of x to get x alone

The angles are complementary, and the value of x is 5.

_____

Additional comment

In order to keep the equation true, whatever operation we perform on one side of the equation must also be performed on the other side. When we say "add -65°", we mean that value is added to both sides of the equation. Above, we have skipped the steps of showing that addition and the subsequent simplification. (Similarly, we skipped the steps showing the division and the simplification process.)

  65° +5x° = 90° . . the original equation. We want to eliminate the 65° term.

  65° +(-65°) +5x° = 90° +(-65°) . . . . . add -65° (to both sides)

  (65° -65°) +5x° = (90° -65°) . . . . . simplify the expressions a bit

  0° +5x° = 25° . . . . . . . . . . . do the subtraction

  5x° = 25° . . . . . . . . . . . 0 is the identity element for addition. Adding it changes nothing.

Let

Eq1 : x - 2y = 12

Eq2 : 4x + 2y = 16

For substitution, we need to rearrange on of the equations so that we can substitute it in the other. Let's pick eq2 and rewrite it as 2y = 16 - 4x. We see that eq1 also has 2y in it, so we can plug this new version of eq2 in there.

3x - (16-4x) = 12

Now solve for x.

7x=28, so x=4

Plug that into either equation to solve for y. You get y=0.

So your answer is x=4, y=0

Answer:

i think its X squared=y squared +4

Step-by-step explanation:

thats what i got

Answer:

a = 51
b = 51 (??not so sure)
c = 20 cents

Step-by-step explanation:

a) 25 x 408 = 10200
10200 ÷ 200 = 51 square ft is one one roll.


b) the surface area of an average gift is 51 sq ft (?)


c) 40  ÷  200 = 0.2
each roll costs $40 dollars. each roll can wrap 200 gifts so 40  ÷ 200 = $0.20/ 20 cents

Answer:

20

Step-by-step explanation:

because 4 can go into 20 5 times without a remainder

Answer:

1/4 = 1/4 × 5/5 = 5/20

2/5 = 2/5 × 4/4 = 8/20

Therefore, the LCD is 20

Step-by-step explanation:

Answer:

75 degrees, 45 degrees, and 60 degrees

Step-by-step explanation:

When we are given three angles any number of triangles can be formed.

Answer:

More than one triangle can be formed by three angles measuring 75°, 45° and 60

Step-by-step explanation: So, the answer would be (A)

Answer:

Given The base of a rectangular prism has an area of 12 sq cm. The height of the rectangular prism is 3 cm

Now volume of the rectangular prism is given by length x width x height

Also area of rectangular prism is 12 sq cm and height of the rectangular prism is 3 cm.

But area of rectangle is length x width

Now volume of the rectangular prism           V = 12 cm^2 x 3 cm         V = 36 cm^3Therefore volume of the rectangular prism will be 36 cm^3

Answer:

Step-by-step explanation:

Volume of rectangular prism=w x h x l

V=12cm^2 x 3 1/3

V=12cm^2 x 1

V=12cm^3

Answer:

adjacent angles are angles that share a side and a common vertex, basically, they are just angles next to each other that are formed by the same point.

Step-by-step explanation:

all adjacent angles are

2,1

2,3

1,4

3,4

6,7

6,5

8,5

8,7

10,11

10,9

12,9

12,11

Answer:

Radius = 6.5cm

Diameter = 13cm

Step-by-step explanation:

The diameter is the length of one side of a circle to the other. It's already given in the diagram as 13cm.

The radius is half of the diameter. 13 divided by 2 is 6.5cm.

Answer: divide by 6?

Step-by-step explanation:

What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?

If we actually guess and check by dividing by 1, then 2, then 3, then etc. we will get the answer. I tried and divided by 6, which is 4, which is a perfect square. Do not trust me completely on this, for I am not quite sure.

The answer for the 1st bag is option B = 1/3

The answer for the 2nd bag is option C = 5/9

Number of marbles in 1st bag - 15 (6 red, 4 blue & 5 green)

Number of marbles in 2nd bag - 9 (3 red, 1 blue & 5 green)

The formula of probability = Total number of events in the outcome /total number of outcomes.

Now the probability that Aakesh will select a green marble from the 1st bag is 5(green marbles)/15(total number of marbles in 1st bag)

That is 5/15=1/3

Now the probability that Aakesh will select a green marble from the 2nd bag is 5(green marbles)/9(total number of marbles in 1st bag)

That is 5/9

To know more about probability go to -  https://brainly.in/question/17157610?msp_poc_exp=6

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

C.) 5/9

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

First we must figure out how many marbles we have in total.

Meaning we will add all of the marbles together in bag one and then bag two.

Bag one: 6+4+5= 15

Bag two: 3+1+5= 9

Total= 24 marbles

Now we will try and figure out how many greens are in the total amount of marbles.

Amount of green marbles in bag one: 5

Amount of green marbles in bag two: 5

Total green marbles: 10

The third and final step!

10/24 is the amount of green marbles so the answer is C!

Answer:

The answer is 8

Please mark me as brainliest

Answer:

8

Step-by-step explanation:

Pythagoras theorem

A^2 +b^2 = C^2

please mark as brainliest

Answers in the picture