What is the solution to the equation 5=2/5a
A.2
B.4 3/5
C.12 1/2
D.25

Answer:

[tex]200.96\ ft[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

in this problem

[tex]D=64\ ft[/tex]

substitute

[tex]C=\pi (64)=64\pi\ ft[/tex] -----> exact value of the circumference

Find the approximate value of the circumference

assume

[tex]\pi=3.14[/tex]

[tex]64\pi\ ft=64(3.14)=200.96\ ft[/tex]

Answer:

Total = 2,400 * (1 + (.083/4))^4*5

Total = 2,400 * (1.02075)^20

Total = 2,400 * 1.5079528829

Total = 3,619.09

Step-by-step explanation:

Answer:

$3,619.09

Step-by-step explanation:

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly.

Compound interest formula is

[tex]A= P(1+ \frac{r}{n} )^{n*t}[/tex]

where A is the final amount

P is the initial amount deposited

r is the rate of interest

n is the compounding period

t is the time in years

P= 2400, r= 8.3%= 0.083, t=5, n=4 (quarterly)

Plug in all the values

[tex]A= 2400(1+ \frac{0.083}{4} )^{4*5}[/tex]

A= 3619.09

Answer:

Points A and F can be included while keeping the graph a function

Step-by-step explanation:

Graph of a function cannot have two different y-values for a given x-value. This means that at any given point on x-axis only one y value must be available.

So from the given points only those points can be selected, where the function is not already having any y-value.

Point A can be included because at x = - 9, no other y value is defined. So this will keep the given graph as a function.

Point B cannot be added, at at x=-6, the function already has a value which is -4. Adding point B, will result in two values at x = -6 which will be against the definition of function. So point B cannot be added.

Similarly, points C, D and E cannot be added either due to the same reason.

Point F can be added as the graph does not has any value at x = 7. So it will have a unique value here.

Answer:

points A and F

Step-by-step explanation:

Answer:

12 picks total

Step-by-step explanation:

1. multiply 2 (orange picks) by 4 (green picks)

    2*4=8 total orange picks

2. add green picks (4) + orange picks (8)

    4+8=12

Answer:

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".

Answer:

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".

Answer:

[tex]20,400\ cm^{3}[/tex]

Step-by-step explanation:

step 1

Find the volume of the tank

[tex]V=(60)(15)(34)=30,600\ cm^{3}[/tex]

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

so

[tex](2/3)30,600=20,400\ cm^{3}[/tex]

Fencing a garden would be Perimeter because your trying to find how much fencing you would need so you can surround the garden.

The area of the garden is how much space there is. Ex. 5ft×9.5ft=47.5ft² . The 5ft would be the length of the garden, and the 9.5ft would be the width. But to find area, you would need to do L×W, or 5ft×9.5ft in this case for area.

But to find Perimeter, you need to do L+L+W+W. If we use the numbers from before for the area example, you would be doing 5ft+5ft+9.5ft+9.5ft, you would be getting 29ft.

If you want the definitions to better understand this, here they are:

Perimeter: the total distance around the edge of the figure.

Area: the number of unit squares that can be contained within it.(hence the reason "²" was at the end of the total in the example for area I provided.)

If it takes a washer 27.5 minutes for a load and a dryer takes 60% of that time for a load, convert 60% to a decimal (0.6) and multiply by 27.5 → 27.5 * 0.6 = 16.5 which means it takes the dryer 16.5 minutes for a load. To find the total time it takes for a washer and a dryer to complete 1 load, simply add the two times. 27.5 + 16.5 = 44 minutes.

Answer:

The answer is D.

Step-by-step explanation:

(14 + 6) + 11 is equal to 14 + (6 + 11). The associative property of addition was used, which is when the equation is the same no matter how it is grouped.

(14 + 6) = 20, and 20 + 11 = 31.

(6 + 11) = 17, and 14 + 17 = 31.

They were grouped differently, but they had the same sum.

I hope this helped! :-)

Answer:

[tex]T=79\degree[/tex]

Step-by-step explanation:

Recall and use the cosine rule to find the approximate value of angle T.

[tex]|SU|^2=|ST|^2+|TU|^2-2(|ST|)(|TU|)\cos T[/tex]

We plug in the values of the side lengths to obtain;

[tex]4.3^2=3.9^2+2.7^2-2(3.9)(2.7)\cos T[/tex]

[tex]18.49=15.21+7.29-21.06\cos T[/tex]

[tex]18.49=22.5-21.06\cos T[/tex]

[tex]18.49-22.5=-21.06\cos T[/tex]

[tex]-4.01=-21.06\cos T[/tex]

[tex]4.01=21.06\cos T[/tex]

[tex]\frac{4.01}{21.06}=\cos T[/tex]

[tex]0.1904=\cos T[/tex]

[tex]T=\cos^{-1}(0.1904)[/tex]

[tex]T=79.02[/tex]

Angle T is approximately 79 degrees.

The statement cos(-x) = -cosx is false becasue cos(-x) = cosx  for all x the statement is false.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Cos(-x)=-cosx

As we know, cos is the ratio of the side adjacent to the hypotenuse

x ∈ (-∞, ∞)

Take x = -30

cos(-30) = √3/2

cos30 = √3/2

cos(-x) = cosx  for all x

Thus, the statement cos(-x) = -cosx is false becasue cos(-x) = cosx  for all x the statement is false.

Learn more about trigonometry here:

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The given system of equations has equivalent equations, hence it has infinitely many solutions. The best answer to the question is option A.

The system of equations presented in the question is:

4x + 5y = 7

8x + 10y = 14

These two equations are equivalent, meaning they are different forms of the same equation. This is because the second equation is just the first one multiplied by 2. When two or more equations are equivalent in a system, it means that they intersect at infinitely many points, hence they have infinitely many solutions. Therefore, the best description for the solution to this system of equations is option A: The system has infinitely many solutions.

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As per the values, C. the system of equations has no solution.

To determine the solution to the system of equations, we can solve the equations using the method of elimination.

First, we can multiply the first equation by 2 to make the coefficients of x in both equations the same. This gives us the equations 8x + 10y = 14 and 8x + 10y = 7.

Subtracting these equations, we get 0 = 7 - 14, or 0 = -7.

Since this is not a true statement, the system of equations has no solution.

Therefore, the correct answer is C. The system of equations has no solution.

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Answer is :

[tex]3{a}^{4} {b}^{3} [/tex]

Let me see if I can solve this on my own.

So $94 is the first amount.

It got divided so, 94÷2 = $47

So, It's either $47 or this.

47 + 47 (or times 2) = 94 again. But gets five more dollars than Leon. So 94+5= 99 then -10 = 89 but 89 ÷ 2 = 44.5 but since money can't really be half. It's eithier $44 or $45 but in my opinion is $45.

So, these are the most reasonable answers. $47 or $45. You can pick the answer that you thinks makes more sense. This took a long time so I hope this helps!

Answer:

Leon gets money=$39.6

Jill gets money=$44.6

Issac gets money=$9.8

Step-by-step explanation:

We are given that Martha divides $94 amongst her friends.

We have to find that how much money each friend get .

Given k be any number .

Leon gets money =2k

Jill gets money=2k+5

Issac get money=k-10

According to question

[tex]2k+2k+5+k-10=94[/tex]

[tex]5k-5=94[/tex]

[tex]5 k=94+5[/tex]

[tex]k=\frac{99}{5}[/tex]

[tex]k=19.8[/tex]

Leon gets money=[tex]2\times 19.8[/tex]

Leon gets money=$39.6

Jill gets money=$39.6+5=$44.6

Issac gets money=$19.8-10=$9.8

if the tax rate is 8.5% stan payed $7.22

Answer:

Stan paid $7.23 in tax

Step-by-step explanation:

8.5/100=t/85

85•8.5=100t

722.5=100t

722.5/100=t

7.225=t

Answer:

3 : 50

Step-by-step explanation:

6% = 0.06

0.06 = 6/100

6/100 = 3/50

3/50 = 3 : 50

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]

Answer:

The answer is -343

Step-by-step explanation:

We just need to divide both numbers and find the result

(-7)^2 / (-7)^-1

(-7)^(2-(-1)) =

(-7)^(2+1) =

(-7)^(3) =

(-7)*(-7)*(-7) = (49)*(-7) = -343

Answer:

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

Step-by-step explanation:

We are given two graphs f(x) and g(x).

G(x) represents Paul's Account and f(x) represents Jason's account.

By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.

Paul starts with 50 points and runs out of points in 10 games.

Difference in points = 50 - 35  = 15 points

Jason starts with 15 points less than Paul's initial point.

By looking at the options  B is the correct one.

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

Answer:

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

Step-by-step explanation:

We are given two graphs f(x) and g(x).

G(x) represents Paul's Account and f(x) represents Jason's account.

By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.

Paul starts with 50 points and runs out of points in 10 games.

Difference in points = 50 - 35  = 15 points

Jason starts with 15 points less than Paul's initial point.

By looking at the options  B is the correct one.

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

The teacher being most pleased with the period 1 class suggests they had the highest median score, indicating a better overall performance by the majority in this class.

The statement that would make the teacher most pleased with the exam scores in his period 1 class would be B. The scores for period 1 had the highest median.

This is because the median represents the middle score in a set of scores. If period 1 had the highest median, it means that at least half of the students in this class scored higher than those in his other classes.

In essence, it shows better overall performance by the majority of the class in period 1, which would make a teacher pleased with the results.

This conclusion may not necessarily hold if we choose other options; for example, low Standard Deviation or Interquartile Range (IQR) mainly speak to the consistency of scores, and lowest median would imply most of the class did not perform very well. Hence, the highest median would generally reflect the most favor on the class performance.

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The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.

The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.

The standard deviation measures the spread of data around the mean. A lower standard deviation indicates that the scores in period 1 are closer to the average score, suggesting more consistency and potentially higher performance.

The other options, such as the median or IQR, do not directly relate to the teacher's satisfaction with the scores, as they focus on different aspects of the distribution.

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Answer:

37 cents

Step-by-step explanation:

2 dimes= 20

3 nickels=15

2 pennies= 2

20+15+2=37

Answer:

37 cent

Step-by-step explanation:

nickles are 5 so three would be 15, dimes is 10 each so that would be 20, and pennies are 1 so two pennies =2 so the answer is 37 cent

Answer:

B) 2x + 18 = 100

Step-by-step explanation:

Given: Perimeter = 100 feet and width = 9 ft

We know that the perimeter of a rectangle = 2(length + width)

Let "x" be the length of the rectangle.

Plugging in the given values in the above formula, we get

100 = 2(x + 9)

On the right hand side, we can use the distributive property a(b + c) = ab + ac

and expand.

100 = 2x + 2*9

100 = 2x + 18

This is same as 2x + 18 = 100

Therefore, the answer is B) 2x + 18 = 100

Answer:

[tex]V(X) = 2.45\ pts[/tex]

Step-by-step explanation:

We look for the expected value for a touchdown.

If X represents the number of points scored per touchdown scored, then X is a discrete random variable, and by definition, the expected value V (X) for a discrete random variable is defined as:

[tex]V(X) = \sum{XP(X)}[/tex]

Where P(X) is the probability that X will occur.

In the sample space of the random variable X there are two possible values.

[tex]X = 7[/tex] points (1 touchdown) with [tex]P(7) = 0.35[/tex]

[tex]X = 0[/tex] points (0 touchdown) with [tex]P(0) = 1-0.35 = 0.65[/tex]

Then the expected value V(X) is:

[tex]V(X) = 7P(7) + 0P(0)[/tex]

[tex]V(X) = 7(0.35) + 0(0.65)[/tex]

[tex]V(X) = 2.45\ pts[/tex]

2. First blank is 60. Second blank is 38. Third blank is 50. Fourth blank is 18.

Hope this helps.

Answer:

A. 40/32

B. 60/50

C. 32/40

D. 32/50

E. 40/60

----------------------------------------

60,38,50,18

Step-by-step explanation:

use the information they give you in the equation

we know thee are 40 tulips, 32 roses, 60 daises, and 50 petunias

A. 40 tulips/32 roses

B. 60 daises/ 50 petunias

C. 32 roses/ 40 tulips

D. 32 roses/ 50 petunias

E. 40 tulips/ 60 daises

_________________________________________________

For the second problem :

We know the total student body so to find a percent of them you just divide the number of students by the total

95 sixth graders

------------------------  = 0.38 which is 38 percent

250 students

45 eighth graders

------------------------------ = 0.18 or 18%

250 students

Now to find the number of students first convert the percent to a decimal then multiply that by the total

24 % = 0.24 times 250

and that equals 60 students

and then 20 percent = 0.2 times 250

and that equals 50 students

Answer:

A = 77.32

Step-by-step explanation:

Since this is a right triangle we can use trigonometric functions

sin  = opposite side/ hypotenuse

sin A =  80/82

sin A =40/41

Take the inverse sin of each side

sin^-1 (sin A ) =sin ^-1 (40/41)

A =77.31961651

Rounding to the nearest hundredth

A = 77.32

Answer:

77.32°

Step-by-step explanation:

Using cosine law:

80² = 18² + 82² - 2(18)(82)cos

cosA = 9/41

A = 77.31961651°

Answer: What is the question

Step-by-step explanation:

The answer you should go with is A

Answer:

19  3/4 in.

Step-by-step explanation:

Basiclly, you just need to add all of them up then divide that answer by how many numbers there are.

Answer:   946 in²

Step-by-step explanation:

Separate the image into 2 sections (left rectangle and right rectangle).

Area of a rectangle = Length (L) × width (w)

Left rectangle: A = 28 × 7

                           = 196

Right rectangle: A = 30 × 25

                              = 750

Area of shape = Area of Left + Area of Right

                        =       196         +       750

                        =                     946

10/6 is the answer.

Answer:

simplified form would be 3/2.

Step-by-step explanation:

Answer:

  |x-4| +|y-5|=0

Step-by-step explanation:

There are many equations that will graph as the point (x, y) = (4, 5). One of them is ...

|x-4| +|y-5| = 0

Answer:

The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer

Step-by-step explanation:

* Lets study the rule at first:

- [tex]a_{n}=a_{n-1}-(a_{n-2}-4)[/tex]

∴ [tex]a_{n}=a_{n-1}-a_{n-2}+4[/tex]

* That means to find a term add the difference between

  the two consecutive term before it to 4.

* lets start with [tex]a_{6}=a_{5}-a_{4}+4[/tex]

∵ [tex]a_{5}=-2,a_{6}=0[/tex]

∴ [tex]0=-2 -a_{4}+4[/tex]

∴ [tex]0=2-a_{4}[/tex]

∴ [tex]a_{4}=2[/tex]

* Use [tex]a_{5}[/tex] to find [tex]a_{3}[/tex]

∵ [tex]a_{5}=a_{4}-a_{3}+4[/tex]

∴ [tex]-2=2-a_{3}+4[/tex]

∴ [tex]-2=6-a_{3}[/tex]

∴ [tex]a_{3}=6+2=8[/tex]

* Similar use [tex]a_{4}[/tex] to find [tex]a_{2}[/tex]

∵ [tex]a_{4}=a_{3}-a_{2}+4[/tex]

∴ [tex]2=8-a_{2}+4[/tex]

∴ [tex]2=12-a_{2}[/tex]

∴ [tex]a_{2}=10[/tex]

* Finally use [tex]a_{3}[/tex] to find [tex]a_{1}[/tex]

∵ [tex]a_{3}=a_{2}-a_{1}+4[/tex]

∴ [tex]8=10-a_{1} +4[/tex]

∴ [tex]8=14-a_{1}[/tex]

∴ [tex]a_{1}=14-8=6[/tex]

∴ The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer