Josh paid for 5 pounds of grapes with a $10 bill. He got back $7.50. What was the cost of 1 pound of grapes?

[A] $0.60
[B] $2.50
[C] $5.00
[D] $0.50

Step-by-step explanation:

The semi-perimeter is:

s = (a + b + c) / 2

= (10 + 24 + 26) / 2

= 47

We will find the area of the triangle using the Heron's formula.

A = √[s (s - a) (s - b) (s - c)]

= √[47 (47 - 10) (47- 24) (47 - 26)]

= √10 × 37 × 23 × 21

= √ 56513

Answer:

this is a 45 angle in the picture i hope this helps

Step-by-step explanation:

Answer: 144 in^2

Step-by-step explanation: First find the area of the base. With squares A=lxw . So, 6x6=36. Then find the area of each triangle, where A= HxL/2. So 9x6=54. 54/2=27. Since there are four triangles we multiply this by four and then add the base. 27x4=108. 108+36=144

Answer:

The other person is correct

Step-by-step explanation:

Got it right on the test!! <3

Answer:

Jon is 10 years old

Step-by-step explanation:

This is solved using linear equations. We use the information given to make equations.

Let's use K for Kylie, E for Ellie, and J for Jon:

K = E + 5

K = J x 3

Now, we rearrange these equations so that K is on the right side:

E = K - 5

J = K/3

Now, with only one variable, we make a new equation:

K + (K - 5) +  (K/3) = 65

Simplify:

2K - 5 + K/3 = 65

Isolate k:

[tex]\frac{7k}{3}-15=65(3) = 195\\7k=196+15=210\\k = \frac{210}{7}=30[/tex]

Now we can plug K in to find Jon's age:

J = K/3

J = 30/3

J = 10

If Kylie is 5 years older than Ellie and triple Jon's age. If the sum of their ages is 65 then Jon is 12 years old.

Let's assume Jon's age is "J" years.

According to the given information:

1. Kylie is 5 years older than Ellie, so Ellie's age is "J + 5" years.

2. Kylie's age is triple Jon's age, so Kylie's age is "3J" years.

The sum of their ages is 65, so we can set up the equation:

J + (J + 5) + 3J = 65

Now, combine like terms:

5J + 5 = 65

Next, isolate "5J" by subtracting 5 from both sides of the equation:

5J = 65 - 5

5J = 60

Now, divide both sides by 5 to find the value of "J":

J = 60 / 5

J = 12

So, Jon is 12 years old.

Learn more about age here

https://brainly.com/question/17868300

#SPJ2

The area of  5 circles and 10 semicircles and 100 quarter circles stones which has the 10 inches radius is 10995.6 in².

The area of the circle is the space occupied by it. It can be given as,

A=πr²

Here, (r) is the radius of the circle.

The radius of one stone is 10 inches. Thus, the area of one circular stone is,

A=πr²

A=π(10)²

A=314.16 in².

There are total 5 circles and 10 semicircles and 100 quarter circles.  The area of 5 circle is,

A=5 x 314.16 in²

A=1570.8  in².

The area of circle is twice the area of semicircle and 4 times the area of quarter circle. Thus the area of 10 semicircle and 100 quarter circles is,

A(semicircle)=(10 x 314.16 in² )/2=1570.8  in².

A(quarter circle)= (100x 314.16 in² )/4=7854 in².

The total area is,

A=1570.8  +1570.8 +7854

A=10995.6 in².

Thus, the area of  5 circles and 10 semicircles and 100 quarter circles stones which has the 10 inches radius is 10995.6 in².

Learn more about area of the circle here;

https://brainly.com/question/402655

#SPJ1

Answer:

the answer is d cause sample space means all the possible outcomes

Answer:

  C)  A, B, F, K, S

Step-by-step explanation:

The sample space is the range of values a random variable may have. In this process, the random variable will have the value of one of the letters shown. That is, it will be one of {A, B, F, K, S}.

The sample space is A, B, F, K, S.

_____

Additional comment

If the letters are selected at random with uniform probability, the probability of any given outcome is the ratio of the number of times that letter appears in the population to the total number of letters.

For example, p(A) = 3/9 = 1/3.

Answer: X, Y, X

Step-by-step explanation: If the x term becomes negative it was over the y axis, if the y term becomes negative it was over the x axis

Answer:

Step-by-step explanation: <

Answer:

  (b)  1/3

Step-by-step explanation:

A function "zero" is a value of x that makes the value of the function be zero. It may also be called a "root" of the function. On a graph, it is an x-intercept.

The zeros are the solutions to the equation f(x) = 0. For a quadratic like the one given, there are two of them. For this function, they are distinct, so one will be larger than the other.

There are a number of ways the solutions to this equation can be found. Technology, in the form of a graphing calculator, can show you the x-intercepts easily (see attached). They are x=-2/5 and x=1/3.

We can also factor the equation. Doing this requires that we find factors of the product (15)(-2) = -30 that have a sum equal to the coefficient of x, +1. Here are some factor pairs:

  -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The corresponding sums are 29, 13, 7, 1. Hence the last factor pair, {-5, 6}, is the one we need.

Rewriting the 3-term polynomial to a 4-term polynomial by splitting the middle term using these factors, we have ...

  15x² -5x +6x -2 = 0

Factoring pairs of terms gives ...

  5x(3x -1) +2(3x -1) = 0

  (5x +2)(3x -1) = 0 . . . . . . . factor out the common factor

The product of these factors can only be zero of one of them is zero. (This is the "zero product rule.") Setting the factors to zero, we find the values of x that make f(x) = 0: the zeros of the function.

  5x +2 = 0   ⇒   x = -2/5

  3x -1 = 0   ⇒   x = 1/3

The zeros of the function are -2/5 and 1/3.

The larger zero is 1/3.

Answer:

No

Step-by-step explanation:

The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.

Answer:

48 inches.

Step-by-step explanation:

The triangle is an isoscele triangle.

An isosceles triangle is a triangle with two sides of the same length.

h is opposite of the other side of 48 inches and judging by the picture, it looks exactly the same, therefore the answer is 48 inches.

Answer:

48 inches

Step-by-step explanation:

the guy a bouve me is right

Answer:

x=6,y=4 equation form

or

(6,4) point form

Step-by-step explanation:

Answer:

B. 5 : 21

Step-by-step explanation:

Vowels: a, e, i, o, u= 5 vowels

Constants: b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z: 21 constants

v : c

5 : 21

Answer:

5:21

Step-by-step explanation:

There is 5 vowels in the alphabet.

There is 21 consonant in the alphabet.

So it is 5:21

Answer: 4 packs of blue, 3 packs of red.

Step-by-step explanation:

All you need to do is find the LCM which is 24, then divide. 24/8=3, and 24/6=4.

Answer:

If the radius of the earth is R and the distance of the observer from the earth's surface is d, then the percent of the sphere's surface A that is visible to the observer is given by:

Given that the hot balloon is 1.5 miles above the ground and that the radius of the earth is approximately 4000 miles, then the percent of the earth's surface that you can see is given by:Therefore, the measure of arc BD, the portion of Earth that you can see is 0.0187% of 360 degrees = 0.1 degrees.

Step-by-step explanation:

Answer:

60 [tex]ft^{2}[/tex]

Step-by-step explanation:

To find the surface area, you need to find the area of all the shapes that make up the pyramid and add them all together.

The area of the square is simply 36 [tex]ft^{2}[/tex], as it is the length times itself (6x6)

To find the area of a triangle, it is bh/2, where b = base, and h = height. The height is 4 ft, and the base is 6 ft as the length of the square is the same as the base of the triangle. (4x6)/2 = 12.

The area of one of the triangles is 12, and they are all identical and there is 4 of them, so 12 x 4 = 48.

Add that to the area of the square:

48 + 12 = 60

Answer: the answer is 440 cm sq

Step-by-step explanation: since the formula is a+b/2 x h

where a is 19 cm ,

b is 25 cm and

h is 20 cm

Answer:

15.75

Step-by-step explanation:

first add

12+25+16+9+5+22+27+20=126

then divide by how ever many numbers there are in this case there's 8:

126÷8=15.75

Answer:

Its simple,

Its 1/2

Step-by-step explanation:

Because both odd and equal numbers are on a fair die,

The numbers on the die are 1 to 6

So 3 numbers are odd and they are 1,3,and 5

And the rest are even so....

Even = 3/6

Odd =3/6

So the answer is either 0.5 or

1/2

Step-by-step explanation:The given graph is a line graph, represents increasing and decreasing rainfall in six different years.The given graph misleads ,in terms of length, when amount of rainfall 4.6-3.9 is plotted with six different years 2006-2011. When rainfall decreases from 4.5 to 4.4, the decrease , in length of rectangle is less,should be equal, in comparison to when year increases from 2006 to 2007. It must be in the shape of Square.
Part B if instead of line graph, we will draw bar graph ,representing Amount of rainfall(4.5-3.0) on y axis in the month of July, to 6 different years from (2006-2011) on x axis,i think it will be least misleading.

Answer:

Step-by-step explanation:

199.6  liter of oil

Answer:

(-5,7)- Quadrant 2

(8 1/2,-4)- Quadrant 4

(0,5)-y axis

Step-by-step explanation:

Step 1:  Determine where the point lies

(-5, 7) has a negative x value which means that it's either in the second or third quadrant.  Now looking at the y value and it being positive we know that we are in the second quadrant.

(8.5, -4) has a positive x value which means that it's either in the first or fourth quadrant.  Now looking at the y value and it being negative we know that we are in the fourth quadrant.

(0, 5) has a x value of 0 which means that our point lies on the y-axis.

Answer:

dependent variable = g = gallons of water in pool

independent variable = m

g is dependent on the value of m

Step-by-step explanation:

Answer: Please give all parts of the question. 1a and 1b

Step-by-step explanation:

Answer:

A is correct.

Explanation:

Given: (7,5) where (x, y)

Identify:

x = 7

y = 5

Go 7 units through x-axis, then move up 5 units along the y-axis.

Answer:

An address on a coordinate plane is made up of an x value and a y value that correspond to the x- and y-axes. This "address" is called a coordinate point, and is written in the form: (x,y). So, you would need to move 7 spaces right and 5 spaces up.

Hope this helps

Answer:

its y=x-2

Step-by-step explanation:

If you do -3-2=-5 and if you keep applying that rule you will find that it equals y.

The option that represents the matching representation of the function table is; B: y = x - 2

From the function table given, we see that;

At x = -3, y = -5

At x = -1, y = -3

At x = 0, y = -2

At x = 4, y = 2

At x = 7, y = 5

Looking at the options, the correct one is Option B which is;

y = x - 2

This is because it is the only one that produces all the correct output values of y for corresponding input values of x.

Read more about Function Tables at; https://brainly.com/question/3493733

#SPJ2

Answer:

136

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16= 136

Fractions are parts of a number. Decimals are fractions whose denominators are powers of 10. Percents are numbers out of 100. Therefore, you convert a fraction to a decimal, follow these steps:

[tex]3\frac{1}{4} = \frac{13}{4} = \frac{325}{100}[/tex]

[tex]\frac{325}{100}[/tex] = 3.25

3.25 × 100 = 325%

Your answer is D