Solve triangle PQR is PQ 9, PR 7, and QR 8. POR is NOT a right triangle.

Answers

Answer 1

Given => PQ = 9 unit
PR = 7 unit
QR = 8 unit

To find => Area of triangle PQR

We can find area of triangle by Heron's Formula.

Where,

s = (9+7+8)/3

= 24/3

= 8

and,
a = 9
b = 7
c = 8

Heron's Formula = [tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]

= [tex] \sqrt{8(8 - 9)(8 - 7)(8 - 8)} [/tex]

= [tex] \sqrt{8( - 1)(1)} [/tex]

= [tex] \sqrt{ - 8} [/tex]

= [tex]2i \sqrt{2} [/tex]

Area of triangle = 2i√2 units

Hope this helps!

Answer 2

We will solve this using Heron's Formula for the area of a triangle.

[tex]\text {Formula = } \sqrt{p(p-a)(p-b)(p-c)} , \text { where p is half the perimeter}[/tex]

We will start off by find p:

[tex]\text {p = } \dfrac{9+7+8}{2} = \dfrac{24}{2}= 12 [/tex]

Now we know, p = 12, we plug in a = 9, b = 8 and c = 7 into the formula to find the area:

[tex]\text {area = } \sqrt{12(12-9)(12-8)(12-7)}[/tex]

[tex]\text {area = } \sqrt{12(3)(4)(5)}[/tex]

[tex]\text {area = } 26.83 \text{ units}^2[/tex]

Related Questions

Let ABCD be a cyclic quadrilateral. Let P be the intersection of AD and BC, and let Q be the intersection of AB and CD. Prove that the angle bisectors of angle DPC and angle AQD are perpendicular.

Answers

Given:
Cyclic quadrilateral ABCD.
Produce AD and BC to meet at P.
Produce AB and CD to meet at Q,
Angle bisector PJ of angle DPC divides angle DPC into two equal parts,x.
Angle bisector QI of angle AQD divides angle AQD into two equal parts,y.

Solution:
Construct segment PQ.
Name U= angle BPQ
Name V=angle BQP.
See attached figure.

Steps:
1. Consider triangle BPQ:
U+V=angle ABP (exterior angle)........................(1)
2. Consider triangle DPQ
U+2X+V+2Y = 180-angle PDQ (exterior angle)
= angle ABC (cyclic quad->opposite angles are supplementary)
=>
U+2X+V+2Y = angle ABC...................................(2)
3. Add (1) and (2)
U+V + U+2X+V+2Y = angle DPQ+angle ABC
=>
2(U+V+X+Y)=180 degrees (angles ABP and ABC lie on a straight lie)
=>
U+V+X+Y = 90 degrees = angle IKJ
4. angle bisectors PJ and QI are perpendicular.

A pet store has 26 rabbits and hamsters. The number of rabbits is 2 more than double the number of hamsters. How many hamsters does the pet store have?

Answers

[tex]3x26 \: maybe[/tex]

Let the number of rabbits in the pet store is x

And the number of hamsters in the pet store is y.

Now, we have been given that pet store has 26 rabbits and hamsters. Thus, we have the linear equation

[tex]x+y=26...........(1)[/tex]

Now, number of rabbits is 2 more than double the number of hamsters. Hence, we have

[tex]x=2+2y[/tex]

Substituting this value of x in equation 1, we get

[tex]2+2y+y=26\\ 3y=24\\ y=8[/tex]

Thus, there are 8 hamsters in the pet store.

average of 2.99 2.59 3.50

Answers

Answer:

6.74

Step-by-step explanation:

add all numbers and divide how many numbers there are.

Explain why a square is always a rectangle but a rectangle is not always a square.

Answers

a rectangle is a plane figure with four straight sides and four right angles. A square is a plane figure with four equal straight sides and four right angles.

therefore, because a square has 4 straight sides with 4 right angles, it is a rectangle.

and a rectangle can have unequal adjacent sides, so it is not always a square

Two quantities are related as shown in the table below:

x. y
2. 3
4. 4
6. 5
8. 6

Which equation best represents the relationship?

Answers

First you need to find the slope and in order to do that you need to use the following equation:

y-y
——
x-x

The y with the greatest value goes first and then the lowest. Same thing with x.

Choose two coordinates from the table

Ex: (4,4) & (2,3)

4-3=1
——-
4-2=2

The slop is 1/2 or 0.5

There is a y intercept which is 2. You get 2 when you divide 1 by 2

So the equation would be

y=1/2x+2 or y=0.5x+2

Hope this helped

summation to integral? calculus

Answers

[tex]\displaystyle\sum_{k=1}^n\left(\dfrac{3k}n-1\right)^4\frac3n[/tex]

You should recognize the [tex]\dfrac3n=\dfrac{b-a}n[/tex] term on the right to represent the width of each equally-spaced subinterval of the integration interval [tex][a,b][/tex]. We don't know the endpoints' exact values just yet.

[tex]n[/tex] represents the total number of subintervals. If we fix it to some manageably small number, we can get a better picture of what the [tex]\left(\dfrac{3k}n-1\right)^4[/tex] term represents.

If [tex]n=3[/tex], the partial sum reduces to

[tex]\displaystyle\sum_{k=1}^3\left(\dfrac{3k}3-1\right)^4\dfrac33=\sum_{k=1}^3(k-1)^4=0^4+1^4+2^4[/tex]

This suggests the sum represents the left-endpoint Riemann summation to find the integral of [tex]x^4[/tex], and in particular, the integral seems to be taken over the interval [0, 3]. Taking the limit, we get

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(\dfrac{3k}n-1\right)^4\frac3n=\int_0^3x^4\,\mathrm dx[/tex]

Final answer:

In calculus, summation involves adding discrete values, while integration is akin to adding an infinite number of infinitesimally small products to find areas, volumes, etc. Integral calculus extends these concepts to continuous functions and is used, for example, to find position from acceleration by integrating twice.

Explanation:

The transition from summation to integral in calculus is an important concept that bridges the discrete world with the continuous. When we summate, we're adding together values to find a total amount. In a similar vein, an integral can be thought of as a continuous sum, where we're adding up infinitely small products to calculate an area, volume, or other quantities.

When performing an integral, the dimensions of what we're integrating must be consistent. For example, if we're integrating velocity (v) with respect to time (t), we obtain a dimension that is the product of the two, such as distance. This principle is rooted in the requirement of dimensional consistency, analogously understood in the phrase "You can't add apples and oranges."

Understanding the relationship between discrete sums and continuous integrals is crucial for applications in various fields, such as physics where integrals can represent cumulative effects over time or space. For example, integrating an acceleration function gives us velocity, and further integration yields position. This process allows us to work backward from acceleration to position, utilizing the power of integral calculus.

The image below is a triangle drawn inside a circle with center O:

A triangle is shown inscribed inside a circle. The leg of the triangle labeled 4 inches passes through the center of the circle, O. The other two legs are labeled as 2 inches and 3 inches.

Which of the following expressions shows the area, in square inches, of the circle?

(π = 3.14)

3.14 ⋅ 2

3.14 ⋅ 3

3.14 ⋅ 22

2 ⋅ 3.14 ⋅ 22

Answers

Answer:

3.14 2^2

Step-by-step explanation:

The expressions shows the area, in square inches, of the circle will be 3.14 × 2² square units. Then the correct option is C.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The image below is a triangle drawn inside a circle with center O:

A triangle is shown inscribed inside a circle.

The leg of the triangle labeled 4 inches passes through the center of the circle, O.

The other two legs are labeled as 2 inches and 3 inches.

The expressions shows the area, in square inches, of the circle will be

Area of circle = (π/4) d²

The diameter of the circle is passing through center. Then the length of the diameter is 4.

Then the area of circle will be,

Area = (π/4) 4²

A = 3.14 × 4

A = 3.14 × 2² square units

The expressions shows the area, in square inches, of the circle will be 3.14 × 2² square units.

Then the correct option is C.

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Supposed a Visa card had a credit card number of 4162 0012 3456789a where a is the check number what is the check number? A) 0 B) 3 C) 9 D) 7

Answers

Answer:

Option B) 3

Step-by-step explanation:

we have the number

4162 0012 3456 789a

Find the value of a (check number)

step 1

Multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit

4162 0012 3456 789a

9(2)+7(2)+5(2)+3(2)+1(2)+0(2)+6(2)+4(2)

(18)+(14)+(10)+(6)+(2)+(0)+(12)+(8)

Remember that If the result is a two digit number, then add these digits together to make a single digit

(1+8)+(1+4)+(1+0)+(6)+(2)+(0)+(1+2)+(8)

(9)+(5)+(1)+(6)+(2)+(0)+(3)+(8)=34

step 2

add every odd-position digit

4162 00123456 789a

8+6+4+2+0+2+1=23

step 3

Adds the result in step 1 and the result in step 2

34+23=57

The check-digit is what number needs to be added to this total to make the next multiple of 10

In our case, we’d need to add 3 to make 60

therefore

The check number is 3

(08.06 MC) Carly and Janiya put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below: Carly y = 60x + 40 Janiya y = 50x + 80 After how many weeks will Carly and Janiya have the same amount of money in their money boxes and what will that amount be? (1 point) 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340

Answers

For this case we have the following equations:
y = 60x + 40
y = 50x + 80
Equaling both equations we have:
60x + 40 = 50x + 80
From here, we clear the value of x:
60x - 50x = 80 - 40
10x = 40
x = 40/10
x = 4 weeks
Substituting x = 4 in any of the equations we have:
y = 60 (4) + 40
y = 240 + 40
y = 280 $
Answer:
$ 280 4 weeks

Answer:

$ 280 4 weeks

Step-by-step explanation:

Hey can you please help me posted picture of question

Answers

The graph of x² is flipped over x-axis and is narrowed down by a factor of 3.

So, now the expression graph will be - 3x²

Next, it is shifted to left by 4 units.

So, now the expression will be - 3(x - 4)²

Finally the graph is shifted up by 4 units,

So, now the graph will be: - 3(x - 4)² + 4

Thus, the answer is option D

PLEASE HURRY!! I WILL GIVE BRAINLIEST

Trapezoid K' is the image of trapezoid K after a series of transformations.
Bella and Marco described the sequence of transformations in different ways.Which sequence or sequences are correct and why?

Answers

Answer:

Option A

Step-by-step explanation:

From the graph attached, we will write the transformation as followed.

a. Trapezoid k is dilated by a scale factor of [tex]\frac{3}{2}[/tex]

[ Since scale factor = [tex]\frac{\text{Largest side of k'}}{\text{Largest side of k}}[/tex]

= [tex]\frac{12units}{8units}[/tex]

= [tex]\frac{3}{2}[/tex] ]

2. scaled trapezoid then rotated by 180°.

3. Then rotated trapezoid is shifted 1 unit down.

By these transformations Bella's sequence was correct.

Therefore, Option A is the answer.

which has the smallest value 11 , 0.675,1.23,0.42,1.011

Answers

The number with the smallest value is 0.42.

Here are the numbers listed in order from least to greatest.

0.42, 0.675, 1.011, 1.23, 11

The reason has to do with the values of the position of the numbers. All Numbers to the left of the decimal point are whole numbers. Any number with numbers to the left have a whole number which is bigger than any decimal.

To the right of the decimal point the place values gets smaller the further you are to the right.

Compare 0.42 and 0.675
The 4 and 6 are both in the tenths place, therefore 0.42 is the smallest no matter how many more digits either has to the right of that number.

A television is 36 inches by 18 inches. What is the area?

Answers

The area would be length times width so the answer is 648 squared inches!

we know that area of a rectangle is length(×)its breadth and the television is a rectangular screen so the area of television screen is 36 X 18 that is 648square inches.
hope this is helpful

Hey can you please help me posted picture of question

Answers

When tossing two coins the sample space will be:

{HH , HT, TH, TT}

So total number of outcomes = 4
Favorable outcome is getting exactly one Tail.
So, number of favorable outcomes = 2

Probability of getting exactly one tail = 2/4 = 1/2

Thus, the correct answer is TRUE

What is the probability that a randomly thrown dart that lands within the rectangle lands within a shaded region? All of the circles are congruent, and the diameter of each circle is 100 cm. A. 39/200 B. 49/250 C. 98/125 D. 157/200

Answers

D is the answer because the circle has no sides so it’s 157/200

A bank account earns interest at a rate of 3.5% per year ( in other words it increases in value by that percent) and starts with a balance of $350. Which of the following equations would give the account’s worth, W, as a function of the number of years, y, it has been gaining interest?

Answers

Final answer:

The account's worth, W, as a function of the number of years, y it has been gaining interest is given by the equation W = $350 + ($350 imes 0.035 imes y).

Explanation:

The equation that gives the account's worth, W, as a function of the number of years, y, it has been gaining interest is:

W = $350 + ($350 imes 0.035 imes y)

Here's an example:

If the account has been gaining interest for 2 years, then W = $350 + ($350 imes 0.035 imes 2) = $364.70.

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Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x e2t2 − 4t dt 4

Answers

Final answer:

Using the Fundamental Theorem of Calculus Part 1, the derivative of the function g(x) = ∫ (x e2t2 - 4t) dt from x=4 is ex2 - 4x where 'x' is the variable 't' from the integral.

Explanation:

The subject of this question is the use of part 1 of the Fundamental Theorem of Calculus to find the derivative of a complex function. This theorem states that if f is a function that is continuous over the interval [a, b] and F is an antiderivative of f on the interval [a, b], then the definite integral of f from a to b is equal to F(b) - F(a).

In your specific question, you are asked to find the derivative of the function g(x) = ∫ (x e2t2 - 4t) dt from x=4.

The derivative of a definite integral, from a constant to a variable, of a function is simply the original function evaluated at the upper limit.

Therefore, the derivative of the given function g(x) is simply ex2 - 4x, treating 'x' as the variable 't' from the integral.

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which set of number could represent the length of the sides of a right triangle? A 9 11 14 B 15 18 21 C 7 24 25 D 8 9 10

Answers

Common Pythagorean triples include
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
The only Pythagorean triple that is an arithmetic sequence is (3, 4, 5), so any arithmetic sequence that is a Pythagorean triple must be a multiple of that, such as (9, 12, 15) or (15, 20, 25).

The arithmetic sequences of selections B and D are unrelated to the (3, 4, 5) triple, so cannot be Pythagorean triples. For selection A, we know that 9² + 11² = 81 + 121 = 202 > 14², so that is not a right triangle.

The appropriate selection is ...
C. 7, 24, 25

The correct answer is c 7 24 25
hope you did well

Q # 13 please Graph the image. of AMOP for the translation

Answers

The rule for translation one unit to the right will be
( x' , y' ) = ( x+1 , y )

M (-3,1) ⇒⇒⇒⇒ M' (-2,1)
O (1 ,4) ⇒⇒⇒⇒ O' (2 ,4)
P (3,-1) ⇒⇒⇒⇒ P' (4,-1)

See the attached figure

If one can of paint contains 2 2/5 gallons, how much paint is in 12 cans of paint?

Answers

12 cans will contain 28 4/5 gallons

Answer:12 2/4

Step-by-step explanation:

First of all that eqation is improper. So lets make that proper. To do that you just count by five till you get close to the number. 5,10,15,20 im close so lets stay there. So then it would be 4 1/5. Then you have to multiple that by 12.

And your awnser would be 50/4

then you need to make it propper.

12 2/4

How to round 4.288 to the nearest hundredth

Answers

For this case we have the following number:
4,288
round to the nearest hundredth means that we must rewrite the number using only 2 decimal places.
Therefore, we must rewrite the number as follows:
4.29
We observed that:
1) the third decimal disappears
2) the second decimal is rounded to the next number since the third decimal is greater than five.
Answer:
4.29

Given rectangle PQRS with PQ=QR, PQ=SP, and SQ=6√2. Find SR. a)√2. b) 6. c) 5√2 d) not enough information

Answers

The rectangle is actually a square. In fact, we have that the side PQ is equal to 2 other sides of the rectangle (QR and SP), and this is possible only if all the 4 sides of the rectangle are equal: this means it is a square.

SQ is the diagonal of the square: [tex]SQ = 6 \sqrt{2} [/tex], but we know that in a square, the diagonal is equal to square root of 2 times the length of the side:
[tex]d = \sqrt{2} L [/tex]
where d is the diagonal and L the length of the side. Since in our square the length of the diagonal is [tex]d= 6 \sqrt{2} [/tex], the length of the side must be
[tex]L= \frac{d}{ \sqrt{2} } = \frac{6 \sqrt{2} }{ \sqrt{2} }=6 [/tex]

so, the correct answer is b) 6.

Which of the following is the graph of y=|x-1|-4y=∣x−1∣−4y, equals, vertical bar, x, minus, 1, vertical bar, minus, 4?

Answers

The graph of
y = |x -1| -4
is show here.

Answer:

The graph of given function is shown below.

Step-by-step explanation:

The given function is

[tex]y=|x-1|-4[/tex] .... (1)

The vertex form of a absolute function is

[tex]y=a|x-h|+k[/tex] .... (2)

where, a is a constant and (h,k) is vertex.

On comparing (1) and (2), we get

[tex]a=1,h=1,k=-4[/tex]

The vertex of the function is (1,-4). The table of values is

x y

3 -2

2 -3

1 -4

0 -3

-1 -2

Plot these points on a coordinate plane. Draw a V-shaped curve by connecting these points with vertex at (1,-4).

In a school auditorium there are 33 seats in each row of seats. How many rows are needed for 528 students to each have a seat?

Answers

Okay so we have 528 students. Each row has 33 seats. To find the number of rows needed, you simply divide 528 students by 33 seats.

528/33 = 16 rows.

Final answer:

To find the number of rows needed for 528 students to each have a seat in a school auditorium with 33 seats in each row, divide the total number of students by the number of seats in each row. The answer is 16 rows.

Explanation:

To find the number of rows needed for 528 students to each have a seat in a school auditorium with 33 seats in each row, we need to divide the total number of students by the number of seats in each row.

So, the number of rows needed would be:

Rows needed = Total number of students ÷ Number of seats in each row

Substituting the given values:

Rows needed = 528 ÷ 33 = 16

Therefore, 16 rows are needed for 528 students to each have a seat in the auditorium.

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Turtle and vicent combine their coins to find they have all dimes and quarters .They have 8 more quarters them dimes and the coins are worth a total of 5.15 .How many dimes and quarters do they have?

Answers

If they set aside the 8 extra quarters, the remaining coins will be pairs consisting of one quarter and one dime--each pair worth $0.35. The value of those pairs is $5.15 -2.00 = $3.15, so there must be $3.15/$0.35 = 9 of them.

There are 9 dimes and 17 quarters.

27.3 less than k is -57.7. What is the value of k ?

Answers

Simple logic. 1K = 1000. So, 1.66K =1660. Many people don't know what 1K means, it is natural. And while there are many people struggling on Facebook, posting weird duck-faced selfies just for the thirst of 100+ 'likes', I presume that you are lucky enough that you got 1600 views on Quora. That means a lot, buddy! :)

Where does the graph of y=sin x from x=0 to x=2pie start.
A- at its minimum
B- at an x intercept
C- at its maximum
D- between an x intercept and its maximum

Answers

Where does the graph of y=sin x from x=0 to x=2pie start.
A- at its minimum
B- at an x intercept
C- at its maximum
D- between an x intercept and its maximum

The correct answer is;
A- at its minimum

When a function is graphed. it usually start at its minimum. Considering the plot for the sine function, the Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°).

It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to -1.

x·\sqrt[4]{x}
Rewrite simplest radical form

Answers

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

x√(4x)

2. You must simplify it as below:

(x)(4x)^1/2

3. By the exponents properties, you have:

4x^3/2
√(4x^3)

4. Finally, you obtain:

2√(x^3)

5. Therefore, as you can see, the answer is: 2√(x^3)

Answer:

Step-by-step explanation:

asdf

A store purchases an item wholesale for 60$ and marks it up by 70 percent if there is a 7 percent tax on the item how much will the item cost

Answers

Answer:

109.14

Step-by-step explanation:

to Start off do 60 x .70, then add the answer to 60, then multiply by .07 then add that to 102, for the answer of 109.14

simplify the expression 11x-(2x^2+8x).

Answers

-2x^2-3x is how you can simplify the expression

Other Questions

Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll? 1: 2: 3: 4: 5: 6: Using the uniform probability model you developed, what is the probability of rolling an even number? 1/6 Roll a number cube 25 times. Record your results here. 1st toss 2nd toss 3rd toss 4th toss 5th toss 6th toss7th toss 8th toss 9th toss 10th toss 11th toss 12th toss 13th toss 14th toss 15th toss 16th toss 17th toss 18th toss 19th toss 20th toss 21st toss 22nd toss 23rd toss 24th toss 25 toss How many results of 1 did you have? ______________ How many results of 2 did you have? ______________ How many results of 3 did you have? ______________ How many results of 4 did you have? ______________ How many results of 5 did you have? ______________ How many results of 6 did you have? ______________ Based on your data, what is the experimental probability of each roll? 1 _______ 2 _______ 3 _______ 4 _______ 5 _______ 6 _______ Using the probability model based on observed frequencies, what is the probability of rolling an even number? Was your experimental probability different than your theoretical probability? Why or why not? Pyruvate must first be converted into ____________ before entering the tca cycle. what is the reaction The purpose of government regulatory agencies like pure food and drugs administration and the securities and exchange commission is In your own words, explain the effects of changes in Earth's magnetic field over time. in ________, the court ruled that the section of doma that limited spousal recognition under federal law to a man and a woman is unconstitutional. which side of the civil war wanted state governments to have the most power?a. north b. south If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5) The direct visual examination of the tissues of the cervix and vagina using a binocular magnifier is known as What group was not a target of racism in the united states during world war II Which sentence is NOT related to the information in paragraph 1? A)On June 3, 2006, younger, wild horses will be merged with older, trained horses in the U.S. Marines. B)The B.L.M. and the U.S. Marines have shared a horse-trading tradition that dates back to the mid-1980s. C)After wild horses are adopted by the U.S. Marines, the public will be given the opportunity to adopt wild horses as well. D)WSCC rules prohibit the public from wearing any blue clothing, blue jeans, tank tops or shorts. Does this monologue have such dramatic elements as conflict resolution dialogue and stage directions porphyrias lover Ben purchased a 2 liter bottle of soda.Which of these is equal to 2 liters?A)1,000 dlB)1,000 mlC)2,000 dlD)2,000 ml Canned goods will _____. a. not spoil unless they are dented or improperly canned at the factory b. not spoil because of the high salt content c. will remain edible for years if not contaminated d. have been subjected to dry heat under very low pressure but high oxygen treatment World war one was primarily about _________, while world war two largely concerned _________ g. Hana fills up a cup with Sandy ocean water pours the mixture through a filter what does she collect that passes through the filter A car is traveling at 48 miles per hour. What is the speed of the car in centimeters per second? (1 mile = 5,280 feet, 1 foot = 12 inches, 1 centimeter = 0.39 inch) 1.Find the annual percentage rate, using the annual percentage rate table.Amount Financed: $2,650Finance Charge: $484.69Number of Payments: 36 please help solve 13 + m = 10m = _____ If the elastic modulus of cobalt (co) is 200 gpa, and the elastic modulus of tungsten carbide (wc) is 700 gpa, calculate the upper and lower bound estimates of the elastic modulus of a 10 vol% co 90vol% wc composite. Read the complete problem before answering. Teresa bought 2 1/2 gallons of chocolate milk at the dairy farm. Chocolate milk cost $4.50 a gallon. How much did Teresa spend on the milk? A student solved the problem this way. gallons 2 1/2 = 2.5 gallons Let n represent the amount Teresa spent on the milk. n = 2.5 $4.50 n = $11.25 Teresa spent $11.25. Use a similar strategy to solve this problem. Pedro bought 1 1/4 lb of red sand and 5 1/2 lb of brown sand to refill his sand box. Both types of sand cost $4.60 a pound. How much did Pedro spend on the sand?