1. Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type of fish did she buy?

Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?

A. x + 7y = 320
y = 7x

B. x + y = 7
y = 320x

C. x + y = 320
y = 7x

D. x−y=320
y = 7x

2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.

How many of each type of fish did she buy?

A. 40 angelfish, 320 goldfish

B. 160 angelfish, 200 goldfish

C. 20 angelfish, 160 goldfish

D. 320 angelfish, 40 goldfish

3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?

Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?

A. x + y = 70
y = 2x – 425

B. x + y = 425
y = 2x – 70

C. x – y = 425
y = 2x – 70

D. x + y = 425
y = 2x + 70

4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.

What were their scores?

A. Kathryn: 260, Michael: 165

B. Kathryn: 150, Michael: 275

C. Kathryn: 275, Michael: 150

D. Kathryn: 165, Michael: 260

5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.

How many nickels are there?

A. 12

B. 18

C. 49

D. 55

Answers

Answer 1

Answer:

D

Step-by-step explanation:

If im wrong, please correct me in the comments.

Answer 2

Answer:

5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:

Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.  

A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:

We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting  in equation (2) we will get, Let us divide both sides of our equation by .


Related Questions

To prove part of the triangle midsegment theorem using
the diagram, which statement must be shown?
O
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.

Answers

The statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

What is the Midsegment Theorem?The Midsegment Theorem of a triangle states that the length of the midsegment (line segment joining two sides of a triangle) is half the length of the third side (the base) of the triangle.Midsegment = ½(third side/base)

Given ΔJKL with a midsegment of GH as shown in the diagram attached below:

GH is the midsegment

KL is the base (third side)

Therefore, the statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

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A solid right pyramid has a square base. The length of the
base edge is 4 cm and the height of the pyramid is 3 cm.
What is the volume of the pyramid?
12 cm
16 cm
32 cm
48 cm
4 cm
Mark this and return
Savo and Exit
Next
Submit

Answers

Answer:

The volume of the pyramid is 16 cm³.

Step-by-step explanation:

The volume of squared-base pyramid is given by the formula:

[tex]V=A\times \frac{h}{3}[/tex]

Here,

V = volume of the squared-base pyramid

A = area of the square base

h = height of the pyramid.

The information provided is:

a = side of square = 4 cm

h = 3 cm

Compute the area of the square base as follows:

[tex]A=a^{2}\\=4^{2}\\=16\ \text{cm}^{2}[/tex]

Compute the volume of squared-base pyramid as follows:

[tex]V=A\times \frac{h}{3}[/tex]

   [tex]=16\times \frac{3}{3}\\\\=16[/tex]

Thus, the volume of the pyramid is 16 cm³.

To find the average or mean of a set of numbers, add up all the items and divide by…?

Answers

Answer: divide it by the number of numbers you added up.

Step-by-step explanation:

For example, let's say you had to find the average of 1, 2, and 3. You add all the numbers up to get 6. Since you had to add 3 numbers together (1, 2, 3) to get 6, you divide 6 by 3 to get the mean/average, which in this case, is 2

To find the average or mean of a set of numbers, add up all the items and divide by how many numbers there are.

How do you find the average set of numbers that add up all the items and divide by?

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

How do you find the mean in a set of numbers?

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores.

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Mike claims that (2^3)^5= 2^15. Sarah claims that (2^3)^5= 2^8. Who is correct? Explain your reasoning.

Answers

Mike is correct, because the rules for powers and exponentiation say that when you elevate a certain base which is already being elevated to a certain power, the powers multiply.

This means that:

[tex] {( {a}^{b} )}^{c} = {a}^{bc} [/tex]

Or, using your example:

[tex] {( {2}^{3} )}^{5} = {2}^{3 \times 5 } = {2}^{15} [/tex]

Tablet: $439, 40% off find the discount

Answers

Answer:

439 x 0.4 = 175.6 so the discount is 175.6

Step-by-step explanation:

40% is equal to 0.4 and you just multiply. If you want to find the discount price just subtract the discount off.

Hope this helps can I have brainliest

Final answer:

The discount on the tablet is $175.60.

Explanation:

To calculate the discount on the tablet which is 40% off the original price of $439, we need to use the formula:

Discount = Original Price × Discount Rate

Therefore:

Discount = $439 × 40%

First, convert 40% into a decimal, which is 0.40:

Discount = $439 × 0.40

Do the multiplication to find the discount:

Discount = $175.60

So, the discount is $175.60, and the tablet would then cost $439 - $175.60 = $263.40 after applying the discount.

Emily has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 150 times. About how many times should Emily expect the spinner to land on either purple or orange? *
20 points
2
20
40
60

Answers

Answer:

60

Step-by-step explanation:

Brainliest answer

Jack has 2 apples he gives one away to his sister how much apples does jack have left.

Answers

Answer:

1

Step-by-step explanation:

Answer:

1 apple

Step-by-step explanation:

2 - 1 = 1 <3

INVESTING Maria invests $1000 in a savings account that pays 4% interest compounded annually. The value of the account A at the end of five years can be determined from the equation log10 A = log10[1000(1 + 0.04)5]. Write this equation in exponential form

Answers

Answer:

[tex]A=1000(1+0.04)^5[/tex]

Step-by-step explanation:

-The general expression of an exponential function is :

[tex]A=P(1+r)^n[/tex]

where:

[tex]A[/tex] is the amount after time t.[tex]P[/tex] is the initial amount[tex]r[/tex] is the rate of growth[tex]t[/tex] is the time.

We substitute our parameter values in the equation as:

[tex]A=1000(1+0.04)^5[/tex]

Final answer:

To write the given equation in exponential form, raise the base value of 1000 to the power of (1 + 0.04)⁵.

Explanation:

To write the given equation in exponential form:

Start with the base value, in this case, 1000.

Raise the base to the power of the exponent, which is (1 + 0.04)⁵.

The exponential form would be 1000 * (1 + 0.04)⁵.

morgan has $28.75 on a gift card. she buys seven cups of coffee and has $20 left write and solve an equation to determine the cost of one cup of coffee.

Answers

Step-by-step explanation:

28.75-20=8.75

8.75/7= 1.25

each cup costs $1.25

The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm. An oblique rectangular prism has a length of 6 centimeters, a width of 8 centimeters, and a height of 7 centimeters. What is the area of the base of the prism?

Answers

Answer:

48 cm²

Step-by-step explanation:

They are only asking for the area of the base of the prism, which is the length of the prism times the width of the prism.

B = area of base

l = length = 6 cm

w = width = 8 cm

B = l * w

B = 6 cm * 8 cm

B = 48 cm²

The area of the base of the prism is 48 cm²

Answer:

48

and

336

I just did it

Determine the surface area of the triangular prism below
A. 2,001
B. 2,376
C. 2,592
D. 4,320

Answers

Answer:

2376 square feet

Step-by-step explanation:

40 x 15 = 600

40 x 24 = 960

1/2 x (24 x 9) = 108

600 + 600 + 960 + 108 + 108 = 2376

30 square root the nearest tenth

Answers

Answer:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Answer:

I think its 5.5

Step-by-step explanation:

Solve the equation 51 = x(3.50 + 5.50)

Answers

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

The answer is x= 17/3

We feed the okapi about 5,024 cubic centimeters of pellets and hay each day. How many times a day would we have to fill the container shown below

Answers

Answer:

Step-by-step explanation:

10 * 4 = 40 times

It’s 5024 Divide by 314 which equals 16 you got it wrong but good try

Step-by-step explanation:

Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Larry, you've got two rolls of streamers in for a party hats for $11. How much did each role of streamers cost? How much did each party hat cost? Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Where, you bought two rolls of streamers and four party hats for $11. How much did each role of streamers cost? How much did each party hat cost?

Answers

Answer:

Each steamer costs $2.5 and each party hat costs $1.5

Step-by-step explanation:

Let the cost of 1 steamer =x

Let the cost of 1 party hat =y

Three rolls of streamers and 15 party hats cost $30

3x+15y=30

Two rolls of streamers and four party hats for $11.

2x+4y=11

We solve the two equations simultaneously.

Multiply equation 1 by 2 and equation 2 by 3

6x+30y=60

6x+12y=33

Suntract

18y=27

y=1.5

From 6x+30y=60

6x+30(1.5)=60

6x+45=60

6x=60-45=15

x=2.5

Since x=2.5 and y=1.5

Each steamer costs $2.5 and each party hat costs $1.5

Answer:

each role of streamers cost $2.5

each party hat cost $1.50

Step-by-step explanation:

Let 's' represent rolls of streamers and 'h' represent party hats

Lets form an equation first

=>For three rolls of streamers and 15 party hats cost $30.

3s + 15h = 30

s= (30-15h)/3 ----> eq(1)

=>For 2 rolls of streamers and 4 party hats cost $11.

2s + 4h = 11

s= (11 -4h)/2 ----> eq(2)

Lets equate eq 1 and 2 in order to find 'h'

(30-15h)/3= (11 -4h)/2    ---->(applying cross multiplication)

60 - 30h = 33 - 12h

60-33 = 30h -12h

27 = 18 h

h= 27/18 => 1.50

therefore, each party hat cost $1.50

substitute above value in eq 1

(1)=> s= (30-15h)/3

s= 30-(15  x 1.5) / 3

s= 2.5

Therefore, each role of streamers cost $2.5

Create a real-world problem involving three lengths that form a right triangle
Give the measurement of the “legs”, then solve for the missing hypotenuse

Answers

Answer:

Bob was looking for a shade sail that was big enough and wide to cover his hotube. The legs were 6 by 8 but he didnt know how long the hypotinuce was. So he use pythagorean theorm to sove fot the unknown side.

A^2 + B^2 = C^2 --> 6^2 + 8^2 = C^2 --> he square rooted the 6 and 8 and got (36 + 64 = c^2) 100 to get c he had to squar root that. He found out that the missing side was 10 inch long.

Step-by-step explanation:

Five pumpkin pies sit in front of 12 hungry people. If they finish the pies, and each person eats the same amount find the unit rate in the pumpkin pie per person

Answers

Answer:

The rate is 0.42 pumpkin pies per person

Step-by-step explanation:

In this question, we are to calculate the amount of pie eaten per person.

This is a rate question.

We have 5 pies and 12 hungry people who ate the same amount of pies as the next person.

The unit rate which is pumpkin pie person is mathematically calculated by dividing the number of pumpkins pies by the number of persons

Mathematically that would be 5/12 = 0.42 pies per person approximately

Is 237.5 less than or greater than 2 8/24

Answers

Alright!

In order to properly compare these numbers, they need to look the same!

Lets change 2 8/24 into a decimal.

To do this, we need to convert it into an improper fraction

Follow these steps:

[tex]2 \frac{8}{24} \\[/tex]

We multiply the whole number (2) by the denominator (24) and then add the numerator (8). The improper fraction will keep the same denominator (24) at the end.

2 × 24 = 48

48 + 8 = 56

[tex]\frac{56}{24}[/tex]

Now, lets use a calculator to see what 56/24 is!

56 ÷ 24 = 2.33

237.5 is GREATER than [tex]2 \frac{8}{24} \\[/tex]

Hope I helped! Comment if you have questions :)

Find the area of the semicircle. Round your answer to the nearest whole number.

Answers

Answer:

2513

Step-by-step explanation:

A=πr^2

A=π40^2

A=π x 1600

A=5026

5026÷2=2513

Answer:

its 628

Step-by-step explanation:

A survey of athletes at a high school is conducted, and the following facts are discovered: 68% of the athletes are football players, 26% are basketball players, and 23% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player

Answers

Answer:

71% probability that the athlete is either a football player or a basketball player

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an athlete is a football player.

B is the probability that an athlete is a basketball players.

We have that:

[tex]A = a + (A \cap B)[/tex]

In which a is the probability that an athlete plays football but not basketball and [tex]A \cap B[/tex] is the probability that an athlete plays both these sports.

By the same logic, we have that:

[tex]B = b + (A \cap B)[/tex]

23% of the athletes play both football and basketball.

This means that [tex]A \cap B = 0.23[/tex]

26% are basketball players

This means that [tex]B = 0.26[/tex]. So

[tex]B = b + (A \cap B)[/tex]

[tex]0.26 = b + 0.23[/tex]

[tex]b = 0.03[/tex]

68% of the athletes are football players

This means that [tex]A = 0.68[/tex]. So

[tex]A = a + (A \cap B)[/tex]

[tex]0.68 = a + 0.23[/tex]

[tex]a = 0.45[/tex]

What is the probability that the athlete is either a football player or a basketball player

[tex]A \cup B = a + b + (A \cap B)[/tex]

[tex]A \cup B = 0.45 + 0.03 + 0.23 = 0.71[/tex]

71% probability that the athlete is either a football player or a basketball player

Answer:

71%

Step-by-step explanation:

Applying Venn's diagram

probabilty that an athlete plays either football or basketball

P ( A ∪ B ) = a + b + ( A  ∩ B )  equation 1

note:

P ( A ) = a + ( A ∩ B )

( A ∩ B ) = 23% = 0.23

a = P( A ) -  0.23 = 0.68 - 0.23 = 0.45

P ( B ) = b + ( A ∩ B )

b = P ( B ) - ( A ∩ B ) = 0.26 - 0.23 = 0.03

back to equation 1

P ( A ∪ B ) = 0.45 + 0.03 +( 0.23 )

                 = 0.48 + ( 0.23 ) = 0.71 = 71%

P( A ) = probability of football players

P ( B ) = probability of basketball players

a = probability of playing football but not basketball

b = probabilty of playing basketball but not football

Find the center and the radius of the circle given the equation of a circle
below.

(x - 2)^2 + (y – 5)^2 = 49

A: Center: (2,5) & Radius=7

B: Center: (5,2) & Radius=49

C: Center: (-2,-5) & Radius=49

D: Center: (-5,-2) & Radius= 7

Answers

Option A) Center: (2,5) & Radius=7 is the correct one.

Step-by-step explanation:

The general form of the equation of the circle is given as :

⇒ (x-h)² + (y-k)² = r²

where,

(h, k) are coordinates of the center point of the circle.r is the radius of the circle.

Therefore, you need to compare the given equation with the general equation of the circle.

The given equation of circle is (x-2)² + (y-5)² = 49

From the given equation, it can be determined that

h = 2 and y = 5 and r² = 49

The center (h,k) of the circle is (2,5).

To find the radius r :

⇒ r² = 49

⇒ r = 7

The radius of the circle is 7.

∴ Option A) Center: (2,5) & Radius=7 is the correct one.

I have to give the answer in by 8pm

Answers

Answer:

15

Step-by-step explanation:

TV = TU+UV

     = 12 + 3

TV = 15

Simplify this equation p+p+3 = 13*
O 2+p+ 2 = 13
O 2p+ 3 = 13
O
2p = 10

Answers

Answer:

P=3 hope this helps! Sorry if I get it wrong. Hope I get brainliest! :D

Step-by-step explanation:

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

-1 + 3p = 5(p + -1) + -2(7 + -2p)

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

-1 + 3p = -5 + -14 + 5p + 4p

 -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

Determine whether the set of data shown below displays exponential behavior right yes or no explain why or why not. Please help

Answers

Answer:

yes

Step-by-step explanation:

you need to see the differences of the numbers

the height of both oblique and right prisms is ALWAYS
A) the perpendicular distance between the bases
B) the length of a lateral edge
C) longer than the altitude of the prism
D) drawn vertically

Answers

Answer:

Option A is correct.

The height of both oblique and right prisms is ALWAYS the perpendicular distance between the bases.

Step-by-step explanation:

Prisms are 3-D shapes that have two parallel faces (called bases) separated at some distance apart (the height of the prism) with the lateral face in between the two parallel bases.

For right prisms, the lateral face is a rectangle while it is a parallelogram for oblique prisms.

The height of a prism is the perpendicular distance between the two bases. In a right prism, the height is a lateral edge as this edge is equal to the perpendicular distance between the two bases.

In the case of the oblique prism, the height is the shortest line segment between the extended bases, the perpendicular distance between the two bases.

So, the height isn't always a length of a lateral edge, isn't always longer than the altitude of the prism and isn't always drawn vertically as the prism sometimes is pictured not resting on its bases, leading to the height drawn horizontally.

So, only option A is totally correct.

Hope this Helps!!!

What is the standard deviation of the data? Round to the nearest whole number.

Answers

Answer:

Where's the data?

Step-by-step explanation:

I need data to answer

Which of the following phrases are equations?
Choose 2 answers:
© b = 9
© 7+ 19 = 26
© a +9 > 72
©
X
+Y-
Colo

Answers

Answer:

d

Step-by-step explanation:

The two phrases that are equations are 'b = 9' and '7 + 19 = 26' because both have an equals sign, indicating that two expressions are set equal to each other.

An equation is a mathematical statement that asserts the equality of two expressions, and it is characterized by the presence of an equals sign '='. From the given options, the two phrases that qualify as equations are b = 9 and 7 + 19 = 26. These both show a relationship where two expressions are set equal to each other.

The phrase a +9 > 72 is not an equation, but an inequality because it uses a greater than symbol '>' instead of an equals sign. The last option provided seems to be typos or irrelevant content and does not constitute an equation.

What is the surface area of the square pyramid?

The surface area is ____ yd2.

Answers

Answer:

16

Step-by-step explanation:

Answer:

it is 16

Step-by-step explanation:

Find the value of x

46.

92.

78.

98.

Answers

Answer:

x = 92

Step-by-step explanation:

The segment of measure 46 joins the midpoints of 2 sides of the triangle and is one half the measure of the third side, thus

x = 2 × 46 = 92

A canal is 10 miles long. It had a lock every 2/3 mile. How many locks are on the canal?

Answers

there are 15 rocks on the canal.
Final answer:

To find the number of locks on the canal, divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. Therefore, there are 15 locks on the canal.

Explanation:

To find the number of locks on the canal, we need to divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. We can divide 10 by 2/3 to find the number of locks.

Using the rule of dividing by a fraction, we can rewrite the expression as 10 ÷ \(\frac{2}{3}\). This is equivalent to multiplying by the reciprocal of the fraction, so the expression becomes 10 × \(\frac{3}{2}\). Now we can multiply 10 by 3 and divide by 2 to get the answer.

10 × 3 = 30
30 ÷ 2 = 15

Therefore, there are 15 locks on the canal.

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Penny drives a truck. The function p = 20h + 75 represents her daily pay, in dollars, for working h hours. She travels 60 miles each hour. She also receives $0.10 for each bonus mile she drives. The function b = 60h (0.10) represents the amount she earns for her bonus. Which function represents Penny's earnings, P, for driving h hours? 5. How does Federigo respond to Monna's request?OOA. He is heartbroken that she would take the only thing he values from him.OOB. He mourns the fact that he cannot give her what she wants.OC. He cries over the fact that he killed his beloved bird without needing toOD. He falls more in love with her for her devotion to her son and is mad he cannot helpher. pLLLLSSSS HELPP IM MARKING BRAINLIESTThe water usage at a car wash is modeled by the equation W(x) = 3x3 + 4x2 18x + 4, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 2x3 + 2x2 18x 11 C(x) = 3x3 + 2x2 18x + 11 C(x) = 3x3 + 2x2 18x 11 C(x) = 2x3 + 2x2 18x + 11 Define climatePlease and thanks Which expression correctly represents "twice the sum of four and a number"? The discount store is having a big sale. Paper towels are two rolls for 1 dollar. Disposable diapers are 3 dollars a box. If Serena buys 2 rolls of paper towels and 2 boxes of diapers, how much change will she get from a 20-dollar bill? 56/15 as a decimal rounded to the nearest tenth What comparison can be made between Dr. Jekyll andMr. Hyde?Page 1:Page 2:"Well, I tell you so again," continued the lawyer. "Ihave been learning something of young Hyde."The large handsome face of Dr. Jekyll grew paleto the very lips, and there came a blacknessabout his eyes. "I do not care to hear more," saidhe. "This is a matter I thought we had agreed todrop."- The Strange Case of Dr. Jekyll and Mr. Hyde,Robert Louis StevensonThey are both Mr. Utterson's very good friends.They both become agitated at the mention of theother's name.They both are handsome and have a wide circle offriends. I need help with summation notation. Look at picture James says that all numbers havean even number of factors.Is he correct?Yes or no and why The formula for the circumference C of a circle with diameter d is C = xd. Write an expression to represent the circumference of the following circle Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per cubic meter. How many fish can Alvin get, at most? What percentage of radioactive substance remains after two half-lives Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution. The marginal cost of producing 40 units of a public good is $200. There are two individuals in the society. Person A is willing to pay $80 for 40 units of the public good. If 40 units of the public good are provided, how much must Person B be willing to pay? are these correct ? im not too sure thank you A line passes through the point (-8,-2) and has a slope of -Write an equation in slope-intercept form for this line. How does the informal style help you better understandthe content of the passage?* It connects science to plumbing.It compares and contrasts ideas.o It helps me visualize what the author is describingO It teaches me useful science vocabulary. HELP PLEASE!Which of the following statements is a true statement about the use of nuclear energy as an alternative energy source?A.Production of electricity from nuclear energy does not produce dangerous radioactive waste products.B.Production of electricity from nuclear energy is a lot more expensive than production of energy from fossil fuels.C.Production of electricity from nuclear energy does not produce greenhouse gases that contribute to global warming.D.Uranium is a renewable resource four whole numbers are rounded to the nearest 10.the sum of the rounded numbers is 90.what is the maximum possible sum of the original four numbers?