. Evaluate the following expression: 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2 A. 31 B. –31 C. 30 D. 21

Answers

Answer 1
Final answer:

To evaluate the expression, we follow the order of operations (PEMDAS). The result of the expression is 31.

Explanation:

To evaluate the expression 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2, we need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we perform the division: 24 ÷ 3 = 8.Next, we perform the multiplication: 7 ⋅ 2 = 14 and 6 ⋅ 2 = 12.Now, we can write the expression with the values we found: 8 + 14 - 15 ÷ 5 + 12.Then, we perform the division: 15 ÷ 5 = 3.Finally, we perform the addition and subtraction from left to right: 8 + 14 - 3 + 12 = 31.

Therefore, the evaluated expression is equal to 31.


Related Questions

Azul has 4 green picks and no orange picks. You add orange picks so that there are 2 orange picks for every 1 green pick. How many picks are there now?

Answers

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

If p is true and q is false, then p v q is true. True or false

Answers

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".

Paul and Jason both have subscriptions to online game accounts. For each game they play, they lose points from their online accounts depending on which game they play. The points in their accounts over time are shown in the graphs below.

Answers

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.

Select all of the labeled points that could be included while keeping the graph a function.


Answers

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:

if a football team has a 90% chance of making a field goal for three points and 35% chance of making a touchdown for seven point find the expected value of a touchdown

Answers

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]

6% as ratio in simplest form.

Answers

Answer:

3 : 50

Step-by-step explanation:

6% = 0.06

0.06 = 6/100

6/100 = 3/50

3/50 = 3 : 50

PLEASE ANWER! WILL GIVE BRAINLIEST!!!!

VERY MUCH NEEDED!!!!!

Answers

Answer: What is the question

Step-by-step explanation:

need help asap!!!!!!!!!!!!!!!!

Answers

Answer:

22 sq. cm

Step-by-step explanation:

stan bought a new tire for his carand paid $85 plus tax. if the tax rate is 8.5%, how much tax did stan pay?​

Answers

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

What is the total value 2 dimes,3 nickles and 2 pennies

Answers

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

The rectangle below has a total perimeter of 100 ft:


rectangle with width of 9


Which of the following equations can be used to determine the length of the longer side of the rectangle?

x + 9 = 100
2x + 18 = 100
9x = 100
81x = 100

Answers

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

Jenelle has a piece of wire that is 0.30 feet long. She needs 2.5 times that length to hang a painting. What length of wire does she need

Answers

Answer:

She needs 0,75 ft of wire

Step-by-step explanation:

Hello

She needs (0.30 ft)*(2.5) = 0,75

Best regards

Plz help me i need it

Answers

Answer:   [tex]\bold{c)\quad f^{-1}(x)=\dfrac{ln(x)}{2}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=e^{2x}\\\\\text{Swap the x's and y's:}\\x=e^{2y}\\\\\text{Apply ln to both sides:}\\ln\ x=ln\ e^{2y}\\\\\text{ln e cancels out}\\ln\ x=2y\\\\\text{Divide both sides by 2:}\\\dfrac{ln\ x}{2}=y[/tex]

?????????????????????????

Answers

6 pounds.



First, find the amount she spent. 70 - 18.88 = 51.12

Now, just divide 51.12 by the cost per pound. 51.12 / 8.52 = 6

So, Karen purchased 6 pounds of coffee.



Please consider marking this answer as Brainliest to help me advance.

Fencing a garden is area right

Answers

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.)

A washing machine requires 27.5 minutes to wash one load of laundry. A clothes dryer requires 60% more time than the washing machine to dry one load of laundry. What is the total amount of time it takes to wash and dry one load of laundry? PLEASE HELP!!!!

Answers

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.

The graph of the equation y = -1/4x + 1 is shown below.


Which statement best represents the value of y as shown in the graph?

A 1 less than the quotient of the value of x and 4
B 1 more than the opposite of the product of the value of x and 4
C 1 more than the opposite of the quotient of the value of x and 4
D 1 less than the product of the value of x and 4

Answers

The answer you should go with is A





What is the approximate measure of angle T in the triangle below?

Answers

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.

What is the equation to represent the graph (4,5)

Answers

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

Please help me answer this question. I dont understand any of this.. I will mark brainliest.

Answers

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°

In a right triangle that has one acute angle of 18 degrees, cos 18 degrees is congruent to ?

Answers

Answer:

cos(18°)=sin(72°)

Step-by-step explanation:

we know that

In a right triangle

cos(A)=sin(B)

If A and B are complementary angles

so

A+B=90°

In this problem

A=18°

B=90-18=72°

therefore

cos(18°)=sin(72°)

I only have 5 minutes to answer please help!!

Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which shows the correct equation and value of x, the distance of 1 lap around the path at the park?

3.6x + 1.2 = 4.8; x = 1 mile
4.8x + 1.2 = 3.6; x = 1 mile
3.6x + 1.2 = 4.8; x = 0.5 mile
4.8x + 1.2 = 3.6; x = 0.5 mile

Answers

Answer:

The answer is D

Step-by-step explanation:

4.8 times 0.5 equals 2.4+ 1.2 = 3.6 which is the total number of miles he ran/walked

Hope it helped!

A swimming pool is 6 meters wide and 10 meters long. Which fraction compares the pool's width to the pool's length?

10/6

5/3

3/2

5/2

Answers

10/6 is the answer.

Answer:

simplified form would be 3/2.

Step-by-step explanation:

Jorge has 40 one inch cubes. What are 2 different ways that he can stack the cubes to make a rectangular prism?

Answers

20x2 this means that 20 times two equals 40

An observatory is shaped like a cylinder standing on one of its bases with a dome on top.The diameter of the floor of the observatory is 64 feet.Witch measurement is closest to the circumference of the base of the observatory in feet ?

Answers

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]

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly. how much money will liam have in 5 years.

Answers

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

Martha divides $94 amongst her friends. Leon gets twice as much money as K. Jill gets five more dollars than Leon. Isaac gets $10 less dollars than k. How much money does each friend get?

Answers

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

Which of the following best describes the solution to the system of equations below?
4x + 5y = 7
8x + 10y = 14

A. The system of equations has infinitely many solutions.

B. The system of equations has exactly one solution where x = 7/4 and y = 0

C. The system of equations has no solution.

D. The system of equations has exactly one solution where x = 1 and y = 6/5

Answers

Final answer:

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

Explanation:

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.

Learn more about Equivalent Systems of Equations

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Final answer:

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

Explanation:

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.

Learn more about System of Equations here:

https://brainly.com/question/21620502

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(14 + 6) + 11 Which of the following is equal to the expression listed above? A. (14 + 6) + (6 + 11) B. (14 + 6) × 11 C. 11 × 14 + 11 × 6 D. 14 + (6 + 11)

Answers

D. 14 + (6 + 11) = 31

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! :-)

use a absolute value to write a rule for determining the distance between two points on a coordinate plane that have the same x-coordinate​

Answers

Answer:

For two points (x,a) and (x,b), the distance would be |a-b| or |b-a| both would be the same.

Step-by-step explanation:

What is the rule without an absolute value?  basically we are looking for the difference (which is the answer to a subtraction problem) between the two.

Say the two points are (x,a) and (x,b)  So they have the same x value but different y values.  Now, when you want to take the difference you usually want to subtract the smaller number from the larger, but hat happens if you don't?  So instead subtract the larger number from the smaller number?  I'm gonna show a few examples.

7-5 = 2

5 - 7 = -2

7 - 3 = 4

3 - 7 = -4

As you can see, no matter which order you subtract you will always get the same number, just either positive of negative.  We are going to use that.  Basically, we can have the two in either order, as long as we have them inside of an absolute value, we will always get the same answer.

so, for our two y values, a and b, it doesn't matter which is larger |a-b| = |b-a| and this is the distance.  

Final answer:

The distance between two points that have the same x-coordinate on a coordinate plane can be calculated by taking the absolute difference of their y-coordinates. This calculation will always yield a positive value, reflecting the fact that distance is a scalar quantity.

Explanation:

The distance between two points with the same x-coordinate on a coordinate plane (i.e., two points on a vertical line) can be determined using absolute value. If these points have y-coordinates of y1 and y2, the distance between them (d) is the absolute difference of their y-coordinates. Mathematically, this is expressed as:

d = |y2 - y1|

Here, the symbol '|' surrounding the difference represents the absolute value, which makes any negative result positive. For example, if we have points A(3, 4) and B(3, 1), using our rule, the distance between these points would be |1 - 4| = |-3| = 3 units.

This absolute value method ensures that the distance is always a positive number, regardless of whether y2 is bigger than y1 or not. This essentially reflects the basic principle of distance being a scalar (having only magnitude but not direction).

Learn more about Distance between two points on a coordinate plane here:https://brainly.com/question/32829538#SPJ11
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