joe paid 14.00 for a board game. this is 70% of the original price. what is the original price

Answer:c

Step-by-step explanation:

1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.

1) Number of possible lunch options:

To determine the number of possible lunch options, we need to consider the choices for each component of the lunch.

- Sandwich: There are 3 options (turkey, roast beef, or bologna).

- Fruit: There are 2 options (orange or apple).

- Dessert: There are 2 options (cookie or muffin).

Using the counting principle, we multiply the number of options for each component together:

Number of possible lunch options = 3 (sandwich options) × 2 (fruit options) × 2 (dessert options) = 12.

Therefore, there are 12 possible lunch options.

2) Let's examine the favorable outcomes for each component:

- Sandwich: There are still 3 options (turkey, roast beef, or bologna).

- Fruit: There are 2 options (orange or apple).

- Dessert: There is 1 option (muffin, as we want to exclude cookies).

Using the counting principle, we multiply the number of options for each component together:

Number of favorable outcomes (no cookie) = 3 (sandwich options) × 2 (fruit options) × 1 (muffin option) = 6.

The total number of possible outcomes is still 12 (as calculated in the previous step).

Therefore, the probability of having any meal with no cookie is:

P(No cookie) = Number of favorable outcomes / Total number of possible outcomes = 6 / 12 = 1/2 or 0.5.

Hence, the probability of having any meal with no cookie is 1/2 or 0.5.

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Answer:

1) there are 12 possible lunch options. 2) the probability of having any meal with no cookie is 1/2 or 0.5.

Step-by-step explanation:

For enlarging you need to know the centre and the object that’s given so according to me this is the answer

The new sides of the enlarged triangle are:

New base = 3

New height = 6

New slant height = 3√5

From the given right triangle, we can see that;

Base = 1 unit (1 square box)

Height = 2 units

Slant side = x

Get the slant side using Pythagoras theorem:

\(x^2 = 2^2+1^2\\x^2=4+1\\x^2=5\\x=\sqrt{5}\)

Enlarging by a factor 3 means multiplying the sides by 3

New base = 1 × 3 = 3

New height = 2 ×3 = 6

New slant height = √5 × 3 = 3√5

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Answer:

\(12\sqrt{2}\)

Step-by-step explanation:

The formula for diagonal of the square:

\(d=\sqrt{2} a\)

\(d=\sqrt{2} \times 12\)

Answer: B3 and C5

Step-by-step explanation: The prime factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are prime numbers).

Mark me brainliest!

Answer:

B 3 and C 5

Step-by-step explanation:

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer:

Switch the top for middle and bottom for top then last one on the threed box

Answer:

51 \(\frac{1}{5}\) laps

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is B. Hope this helps

I just took the quiz and it was b sooo yeah have a great day

9514 1404 393

Answer:

   all of them

Step-by-step explanation:

Rotation, reflection, and translation are "rigid motions," so do not affect segment lengths or angles. Every angle type has the same measure after such a transformation.

Option (C) Infinitely many solutions

Answer:

1.) 17

2.) -6

3.) 6

4.) 14

5.) -13

Step-by-step explanation:

1. 2x8+1= 17

2. 10 - (4x4)= 10-16= -6

3. (10/5) + 4 = 2+4= 6

4. (-6 x 1/3) + 16= -2 + 16= 14

5. (8 x -1) - 5= -8 - 5= -13

1.) 17

2.) -6

3.) 6

4.) 14

5.) -13

Answer:

D

Step-by-step explanation:

With that equation, you can find the total number of soccer players because it's out of 100

Hope this helps!

Answer:

the one you selected is correct

Step-by-step explanation:

What times 20 gets you to 100. 5 so divide 5 from top and bottom to get $ over 20. 4 is 20% of 20

Step-by-step explanation:

Hey there!

The length is 40 cm more than breadth.

Sp let the breadth be x.

So, length will be 40+x

Now, we know that Perimeter of a rectangle is 2(Length+Breadth)

We can write that

380 cm = 2(40+x+x)

190 = 40+2x

2x = 150

x = 75 cm.

So, breadth is 75 cm.

And length is 75+40 = 115 cm.

Hope it helps:)

Answer:

W= 75  L= 115

Step-by-step explanation:

3.8m= 380cm

Perimeter= 380cm

Perimeter formula: 2(L+W)

L= length W= width

The length in the problem equals 40cm more then the width. so the length equals (w+40) or (40+w). now subsitute that into the perimeter formula.

2(40+W+W)=380

Now solve for W

2(40+W+W)=380

Divide by 2 on each side, to get rid of it on the left (like below)

40+W+W= 190

subtract 40 off both sides

2w= -40+190

Divide by 2 on both sides

2w=150

W= 75

Since the width is 75, this means that the length is 40 more than 75, therfore

L= 75+40=115

Answer: The simplest form of ratio 6:15=2×3:5×3=2:5

Step-by-step explanation: So, 2:5 is equivalent to 6:15.

Answer:

wx= 14cm

area of figure 2 = 64cm

Answer:

Let the amount of gunpowder that contains 9 kg nitre be x kg. ∴ The amount of gunpowder containing 9 kg nitre is 12 kg.

So, about 200 kg gunpowder

Answer:

Area of five squares = 1289.09 square units

Perimeter =  194.6 units

Step-by-step explanation:

Area of square and perimeter:

   First find the length of each square, then find the area of each square.

To find the area of five squares, add all the area of each square.

Side of square1 = 27 units

\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)

Area of square1 = 27*27 = 729 square units

Area of square2 = 18*18 = 324 square units

Area of square3 = 12*12 = 144 square units

Area of square4 = 8*8 = 64 square units

Area of square5 = 5.3*5.3 = 28.09 square units

Area of five squares = 729 + 324 + 144 + 64 +28.09

                                  = 1289.09 square units

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)

                                                         = 90 + 42 + 28 + 18.7 + 15.9

                                                          = 194.6 units

\(\huge\blue{ANSWER}:—\)

A solution for a pair of lines means that they are equal to each other. This occurs when they instersect. Since the lines have the same slope, but are not the same line, they are parallel, so they will never intersect. This means there are zero solutions.

The provided set of equations for the lines Q and S have no solutions.

The slope of a line is a measure of how steep the line is and is defined as the change in y divided by the change in x between any two points on the line. In other words, the slope is the ratio of the vertical distance between two points on the line to the horizontal distance between them.

Parallel lines are two or more straight lines that are equidistant from each other at all points and do not intersect, no matter how far they are extended in both directions. Parallel lines are often denoted by a double vertical line symbol (||) drawn between them.

In the given information:

Line Q crosses the y-axis at 3 and has a slope of one-half.

Therefore,

x=0 and y= 3

Straight line equation: y= mx + c

where m is the line's slope

The values in this equation should be replaced.

y= mx + c

3= (1/2) ×0+c

3 = c

y= (1/2) x + c

Line S crosses the y axis at -2 and has a slope of one half.

Thus, the c will be negative.

After that, the line's equation is y = (1/2) x - 2.

Use the equation to plot the graph.

So,

Line Q and Line S are parallel lines.

Due to the fact that it won't intersect, there is an equation.

Thus, the provided pair of equations for lines Q and S have no solutions.

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Hi there!

~

\(2 \frac{1}{4} \div ( \frac{3}{8} \div \frac{1}{2} )\)

\(= 3\)

Hope this helped you!

Answer:

1 11/16

Step-by-step explanation:

Answer:

80 sqcm

Step-by-step explanation:

area of the full rectangle is 96 sqcm (12x8) and then you subtract the area of the cutout (4x4)

\(\sf Hello!~Your~answer~is,\)

80 cm

A = b × h

    = 12 × 8 = 96

A2 = b × h

      = 4 × 4 = 16

Finally solving,

A - A2 = 80 cm

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

$4500

$4500

$4500

$4500

Answer:

A

Step-by-step explanation:

I took the test!

Answer: The answer is 90 degrees

doesn't need any further explanation

Answer:

it's 60

Step-by-step explanation:

Least Common Multiple of 4, 10, 12.

2 | 4, 10, 12

2 | 2, 5, 6

5 | 1, 5, 3

3 | 1, 1, 3

1 | 1, 1, 1

_______________

2 × 2 × 5 × 3 × 1

= 2² × 5 × 3 × 1

= 4 × 5 × 3 × 1

= 20 × 3 × 1

= 60 × 1

= 60

________________

Least Common Multiple (LCM) of 4, 10, 12 is \(\boxed{\underline{\bf \: 60}}\)

Answer:194.99 with tax and you save 105 dollars. without tax, your price total is 206.69 and you save 111.30.

Answer:

A or 90 meters

Step-by-step explanation:

Here, we need to find the length of the hose which is diagonally placed in the rectangular garden.

The length is given as = 72 meters

The width is given as = 60 meters

We will use the Pythagoras theorem here.

Hypotenuse² = Perpendicular² + Base²

Hypotenuse² = 72² + 60²

Hypotenuse² = √8,784 meters²

Hypotenuse = 93.72 meters

Thus, the length of diagonal hose will be = 93.72 meters

Rounded would be 90 meters!

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day