What is the value of the expression? 100-9^2 divided by 3
(100-9^2)/3
PEMDAS: parenthesis, exponents, multiply, divide, add, subtract
Lets' work on the parethesis first.
100-9^2
We can do the exponent first, 9^2=81, so 100-81=19
Then we divide and 19/3 is your final answer.
Answer:27.3 or 27
Step-by-step explanation:
100 -18= 83
83 divided by 3 is 27.3 or 27
John will paint the four walls of his rectangular basement. The basement measures 10 feet long, 13 feet wide, and 8 feet high and has no windows. The door into the room measures 3 feet by 7 and will not be painted. How many square feet of wall will John paint?
Answer:
D. 1,019 square feet
Step-by-step explanation:
10x13x8 - 3x7
John will need to paint 347 square feet of wall in his rectangular basement after subtracting the area of the door that will not be painted.
John will paint the four walls of his rectangular basement. To calculate how many square feet of wall he will need to paint, we must first determine the total area of the walls and then subtract the area of the door.
The total wall area is calculated as follows:
Two walls are 10 feet long and 8 feet high, giving 2 x (10 x 8) = 160 square feet.
The other two walls are 13 feet wide and 8 feet high, giving 2 x (13 x 8) = 208 square feet.
So, the total wall area is 160 + 208 = 368 square feet.
The door measures 3 feet by 7 feet, which equals 21 square feet.
To find the area John will paint, we subtract the area of the door from the total wall area:
368 square feet - 21 square feet = 347 square feet
Therefore, John will need to paint 347 square feet of wall.
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Answer:
median 15
range 20-11 = 9
25th = 14
75th = 17
inter = 17-14 = 3
Step-by-step explanation:
Answer:
The Median would be 15
Range is = 9
25th percentile = 14
75th percentile = 17
interquartile range= = 3
State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.
Answer:
No, there are no inscribed angle in this diagram; Option D
Step-by-step explanation:
~ Let us apply process of elimination to solve this problem ~
Option 1. This first example states firstly that m∠SRT is an inscribed angle. That is not true, by definition an inscribed angle is an angle created by two chords that share a common endpoint. Neither RS nor RT are chords, in fact they each are radii, creating a central angle instead.
Option 2. m∠RST is not created by two chords, instead by arc ST and radii RS ⇒ and I believe I am not familiar with what angle it is reffered to, if at all it is named.
Option 3. As stated before, ∠SRT is not an inscribed angle; by definition an inscribed angle is an angle created by two chords that share a common endpoint, and neither RS nor RT are chords.
Option 4. Through elimination, Option D is the only possible answer left: Answer: No, there are no inscribed angle in this diagram
what is 8.0622577483 rounded to nearest tenth?
Answer:
it is 8.1
Step-by-step explanation:
if u see u round over or add 1 to the number if the number that is next to the number ur rounding is 5 or higher. and u do nothing when it is less than 5.
the tenth place is where the the zero is 0.0
and the number after is 6, so it is greater than 5, so it increases
Answer:8.1
Step-by-step explanation:
To round to the nearest tenth (the first decimal place), look at the number in the hundredth (the second decimal place) and round up or down. Since the number in the hundredths is a six, you round up.
You round down if the number is less than 5 and up if it is equal to or greater than 5.
What is the value of x in the attached diagram?
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
Write an equation to determine the area, A, of the patio that will be painted.
A = (x + 20)(x + 10) + 12
A = (x + 20)(x + 10) − 12
A = (x + 26)(x + 12)
A = (x + 14)(x + 8)
Answer:
A = (x + 15)(x + 10) − 5
Step-by-step explanation:
(x+15)(x+10)-5=A would be a solution
To make this easier, let's assign x a value. Let's say 3.
(3+15)(3+10)-5=A
(18)(13)-5=A
234-5=A
A=229
Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.
A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 Answer A is wrong.
B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 Answer B is wrong.
C. A=(3+26)(3+15)=(29)(18)=522 Answer C is wrong.
D. A=(3+14)(3+8)=(17)(11)=187 Answer D is wrong.
It's either I'm wrong or the answer choices are wrong.
New answer choices!
A. A=(3+20)(3+11)
=(23)(14)=322 Answer A is wrong.
B. A=(3+15)(3+10)+5
=(18)(13)+5=234+5=239 Answer B is wrong.
C. A=(3+15)(3+10)−5
=(18)(13)-5=234-5=229 Answer C is correct.
D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.
A = (x + 15)(x + 10) − 5
(x+15)(x+10)-5=A would be a solution
To make this easier, let's assign x a value. Let's say 3.
(3+15)(3+10)-5=A
(18)(13)-5=A
234-5=A
A=229
Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.
A. A=(3+20)(3+11)
=(23)(14)=322 Answer A is wrong.
B. A=(3+15)(3+10)+5
=(18)(13)+5=234+5=239 Answer B is wrong.
C. A=(3+15)(3+10)−5
=(18)(13)-5=234-5=229 Answer C is correct.
D. A=(3+9)(3+10)=(12)(13)=156 Answer D is wrong.
The question probable may be:
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
Write an equation to determine the area, A, of the patio that will be painted.
A. A=(3+20)(3+11)
B. A=(3+15)(3+10)+5
C. A=(3+15)(3+10)−5
D. A=(3+9)(3+10)=(12)(13)=156
Find 8.5 times the difference between 77 and 13.
Answer:
544
Step-by-step explanation:
you find the difference between 77 and 13 which is 64 then you multiply that by 8.5 and get your answer, i think
hope this helps!
Dilation – stretching or compressing the graph of a function Move the slider on the graph to graph each function and describe the transformation. y=2^x. vertical stretch or vertical compression?
Answer: The first answer is A. vertical stretch
Step-by-step explanation: The next one is B. vertical compression
The graph of the function y = 2^x represents a vertical stretch.
Explanation:The given function is y = 2^x. To determine if it represents a vertical stretch or vertical compression, we need to examine the value of the coefficient in front of the exponent which is 2. If the coefficient is greater than 1, it represents a vertical stretch. If the coefficient is between 0 and 1, it represents a vertical compression. In this case, the coefficient is 2 which is greater than 1, therefore the graph of the function y = 2^x represents a vertical stretch.
Find the equation of the circle with center at (3,-2) and radius of 3.
(x - 3)2 + (y + 2)2 = 9
(x - 3)2 + ( + 2)2 = 3
b. (X + 3)2 + (-2)2 = 9
d. (x+ 3)+ (x - 2)2 = 3
Answer:
[tex](x - 3)^2 + (y + 2)^2 = 9[/tex]
Step-by-step explanation:
[tex](x - x1)^2 + (y - y2)^2 = r^2[/tex]
Now that you know the formula, you can just add in the numbers from your coordinate point and radius with their respective signs.
[tex](x - 3)^2 + (y + 2)^2 = 9[/tex]
Vector u has its initial point at(14 -6) and its terminal point at(4,7)
Answer:
Vector form u = <10, -13>
Step-by-step explanation:
You want to know what vector u = ?
u = < 14 - 4 , -6 - 7> = <10, -13>
Which of the following numbers is read, "six thousand, nine hundred seven"?
9,670
6,970
SELA
ERIES
S
6,907
6,097
The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation? A. Y = 2 x minus 3 and y = negative 2 x minus B. 3 y = 2 x minus 3 and y = negative one-half x minus three-halves C. Y = 2 x + 3 and y = negative 2 x minus 3 D. Y = 2 x + 3 and y = negative one-half x minus three-halves
Answer:
I think the answer is y = 2 x minus 3 and y = negative 2 x minus 3 .
I'm sorry if it's incorrect
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
3. The length of a rectangle is 3 times its width. The perimeter is 16 meters. Draw a picture to represent
this situation. Write an equation to represent the situation and solve it. What is the width?
4. Suppose you live near a park that has a bike trail you like to ride. The Park Department rents a bike with
safety equipment for $5 a day. If you provide your own safety equipment, the bike rental is $3 a day. You
could buy the equipment at a sports store for $28. How many times must you use the trail to justify
buying your own safety equipment? Support your answer mathematically or graphically.
Answer:
3.Width is 2
4. 14 times
Step-by-step explanation:
3.
3x + 3x + x + x = 16
16 = 8x
x=2
Width is 2
4.
5 - 3 = 2
Safety equipment costs $2 every day.
$28 divided by 2 equals 14
must ride the trail 14 times
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The chart shows the amount of solute that fully dissolved when added to 500 ml of water. which ranks the solutions in order of greatest to least solubility? x → y → z y → x → z z → x → y y → z → x
Answer:
Y→X→Z
Step-by-step explanation:
i did the test
The order of greatest to least solubility is Z > X > Y
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
x have 10 g of solute when dissolved in 500 ml of water, y have 12 g of solute when dissolved in 500 ml of water, and z have 8 g of solute when dissolved in 500 ml of water.
The order of greatest to least solubility is Z > X > y
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The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?
Answer:
1,280
The dimensions are 5 by 4
Step-by-step explanation:
You multiply 20 and 16 then, divide 0.25 then you get 1,280
Thecube of twice a number
The cube of twice a number is [tex]2x^3[/tex].
A recipe for rice pudding calls for 2 1/2 cups of milk. The recipe makes 5 servings. How many cups of milk are needed to make 8 servings? *
Answer:
4 cups of milk
Step-by-step explanation:
Answer:
In order to make enough rice pudding for 8 servings, you would need four cups of milk.
Step-by-step explanation:
First, identify what you know:
1) It takes 2 1/2 (2.5) cups of milk to make enough rice pudding for five people.
Simply, calculate how much is needed for one serving.
2.5/5 = 0.5
Now, we know that one serving of rice pudding requires 1/2 of a cup of milk. So, simply multiple by 8, to find how much is needed for 8 servings.
0.5 x 8 = 4 cups
Four cups of milk would be needed to make rice pudding for 8 servings.
Help if u solve this correctly I’ll give 10 points and the Brainliest
Answer:
A =222 in^2
Step-by-step explanation:
A trapezoid has an area given by
A =1/2 (b1+b2) h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2( 21+16) *12
A = 1/2 (37) 12
A =222 in^2
Find the HCF of 210 and 308
The HCF of 210 and 308 = 14.
What is the greatest common factor?The greatest number that can divide the numbers in equal parts.
It is called as greatest common factor.
Given:
Two numbers are 210 and 308.
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308.
The factors of 210 = 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
From the above factors,
HCF of 210 and 308 = 14.
Therefore, 14 is the required number.
To learn more about the greatest common factor;
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HELP URGANT WILL GIVE 20 POINTS AND BRAINLIEST FOR FAST AND ACCURATE ANSWER !!!
What is the relationship between the sine and cosine of the complementary angles in this diagram?
Drag and drop the answers into the boxes to correctly complete the statements.
Both cos(17°) and sin(x°) can be represented by the ratio-------- . The angles measuring 17° and x° are complementary angles. This means x° + 17° =--------- . Therefore, x = -----. Since cos(17°)=sin(x°) , this also shows that cos(17°)=sin(------ )°.
these are the possibilities for the blanks:
a/b
a/c
b/c
90 degrees
180 degrees
90-17
180-17
Answer:
Both cos(17°) and sin(x°) can be represented by the ratio a/c. The angles measuring 17° and x° are complementary angles. This means x° + 17° = 90°
Therefore, x = 90-17 Since cos(17°)=sin(x°), this also shows that cos(17°)=sin( 90-17)°
this is the correct answer.
The required possibilities for the blanks as b/c, 90 degrees, (90° - 17°), and (90° - 17°). Where 17° and x° are complementary angles
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles.
In the given question,
Both sin(17°) and cos(x°) can be represented by ratio b/c because values of sin(17) and cos(x) are b/c.
Since 17° and x° are complementary angles, hence the value of x will be = 73 degrees. And sin(17°) = cos(x°), therefore sin(17°) = cos(90° - 17°).
Therefore, the required possibilities for the blanks as b/c, 90 degrees, (90° - 17°), and (90° - 17°).
Learn more about complementary angles here:
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Noah sold 26 hot dogs during the pregame show at a football game. During the game he sells an average of 31 hot dogs per hour. Write an equation to model the number of hot dogs, d, Noah will have sold after h hours.
Answer:
26+31=h
Step-by-step explanation:
Answer:
26+31h=d
Step-by-step explanation:
the 26 represents the 26 hot dogs he already sold during the pregame show. The 31h represents 31 hot dogs multiplied by the amount of hours he sells them for. And finally, d represents how many hot dogs he sold in total. Hope that helps!
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!
Answer:
B
Step-by-step explanation:
im pretty sure it's b and I AM SOOOO SORRY if its not
What’s the answer for this question ?
The experimental probability that Josie dad gets home from work between 5 p.m. and 6 p.m. is equal to 5/8 . About what percent of the time will Josie dad get home from work between 5 p.m. and 6 p.m.
Answer:
62.5%
Step-by-step explanation:
In this case we have the information we need to calculate the percentage because they give us the necessary experimental probability, we only have to pass the probability to its percentage form.
We know that probability can be converted to a percentage by multiplying the value of probability by 100, like so:
5/8 * 100 = 62.5
In other words, the probability that it will arrive at that time is 62.5%
A worker at a mill is loading 10-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 4 bags of flour. If the warehouse orders 2 tons of flour, how many boxes are needed to fulfill the order?
Answer: 100 boxes
Step-by-step explanation:
Hi, since 1 ton = 2,000 lbs
We have to divide 10lbs by 2000 to convert the lbs in tons.
1t/2000lb = xt / 10lb
10 /2000=0.005
0.005 ton = 10 lbs (1 bag)
Each box has 4 bags
0.005 ton x 4 = 0.02 ton
So each box weights 0.02 ton
Since we need 2 tons.
Using proportions:
0.02t/1 box= 2 t / x boxes
x = 2 / (0.02/1)
x = 100 boxes
Feel free to ask for more if needed or if you did not understand something.
A survey found that 6 out of 8 students own a pet. If there are 480 students in a school, what is a reasonable prediction for the number of students who do NOT own a pet?
Answer: 120
Step-by-step explanation: If you multiply 480 by 0.75 (because 6/8 = 0.75) Then you will get 360. After doing so subtract 360 from 480 (480-350) and you will get 120
A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present. • How much of the substance remains after 30 years (to the nearest tenth)? • When will the amount of the substance drop to below 20 grams (to the nearest year)?
Answer:
8.6 grams of the substance remains after 30 years.
The amount of the substance will drop to below 20 grams in 14 years.
Step-by-step explanation:
The amount of the substance after t years is given by the following equation:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the yearly decay rate.
A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.
This means, respectively, that [tex]r = 0.05, A(0) = 40[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = 40(0.95)^{t}[/tex]
How much of the substance remains after 30 years (to the nearest tenth)?
This is A(30).
[tex]A(30) = 40(0.95)^{30} = 8.6[/tex]
8.6 grams of the substance remains after 30 years
When will the amount of the substance drop to below 20 grams (to the nearest year)?
This is t when A(t) = 20. So
[tex]A(t) = 40(0.95)^{t}[/tex]
[tex]20 = 40(0.95)^{t}[/tex]
[tex](0.95)^{t} = \frac{20}{40}[/tex]
[tex](0.95)^{t} = 0.5[/tex]
[tex]\log{(0.95)^{t}} = \log{0.5}[/tex]
[tex]t\log{0.95} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.95}}[/tex]
[tex]t = 13.51[/tex]
Rounding to the nearest year
The amount of the substance will drop to below 20 grams in 14 years.
1) The amount of substance that will remain after 30 years is; A(30) = 8.6 g
2) The time when the amount of the substance drop to below 20 grams is; t < 14 years
To calculate the amount of substance that remains after t number of years of decay is;A(t) = A_o(e^(-rt))
Where;
A_o is initial amount
r is rate of decay
t is time in years
A(t) is amount left after t years
We are given;
A_o = 40 g
r = 5% = 0.05
1) To find the amount of substance left after 30 years is;
A(30) = 40 × e^(-0.05 × 30)
A(30) = 8.925 g
Approximating to the nearest tenth gives;
A(30) = 8.9 g
2) To find the time when the amount of the substance drop to below 20 grams.
20 > 40 × e^(-0.05 × t)
20/40 > e^(-0.05 × t)
-0.05t < In 0.5
t < (In 0.5)/-0.05
t < 13.86 years
Approximating to the nearest year gives;
t < 14 years
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Complementary, Supplementary, Vertical, and Adjacent Angles
100 POINTS
Answer:
Step-by-step explanation:
~~~~~~~~~~~~~~~
QUESTION 1: B
Half of a circle is 180. One side is 27° and the one in the middle is a right angle which is 90°. So we must add the sides together than subtract them by 180°.
90° + 27° = 117°
180° - 117° = 63°
So now we know that angle A is 63°!
Angle C is adjacent to angle A making it 63° as well. We also know that angle B is adjacent so that means angle B is 117°.
Only B is is the correct answer.
~~~~~~~~~~
QUESTION 2: x = 20
150° is adjacent to 7x + 10 making them equal. But how do we solve this? We must make a linear equation out of this!
150 = 7x + 10
Subtract 10 on each side,
150 = 7x + 10
- 10 - 10
We get,
140 = 7x
Divide by 7 on each side,
140 ÷ 7 = 7x ÷ 7
Evaluate,
20 = x
We get that our answer is x = 20!
~~~~~~~~~~~~~~~~~~
QUESTION 3: x = 21.8°
We know that x° + 68.2° = 90° or a right angle. Therefore for this problem we must subtract!
90° - 68.2° = 21.8°
For this question x is 21.8°
~~~~~~~~~~~~~~~~~~~~~
QUESTION 4:
For this question we know that 4x + 8x = 180° we must solve this linear equation out!
4x + 8x = 180°
Add,
12x = 180°
Divide by 12,
12x ÷ 12 = 180° ÷ 12
Evaluate,
x = 15
We now know that x = 15 which solves our 4th and final question of the day! Phew! That took a lot of brain power but we made it! Nice job everyone!
Answer:
1) d. All of the above are true
2) b. 21.8°
3) 7x + 10 = 150 ; x = 20°
4) b. The measure of angle B is 117°
Step-by-step explanation:
1) 4x + 8x = 180
12x = 180
x = 15°
4x = 60°
8x = 120°
2) x = 90 - 68.2
x = 21.8°
3) 7x + 10 = 150
(Vertically opposite angles)
7x = 140
x = 20°
4) Angle A = 180 - 90 - 27
Angle A = 63°
Angle B = 180 - 63
Angle B = 117°
Angle C = 180 - 117
Angle C = 63°
Which diagram represents the postulate that states exactly one line exists between any two points?
co
Answer:
Check attachment for the diagram
Step-by-step explanation:
Given two points A and B in the diagram attached, we see that exactly one line exists between these points.
Answer:
The diagram is attached with this answer
Step-by-step explanation:
In the diagram there are two points, point P and point Q. It is impossible to have more than one line between these points, so exactly one line exists between them.