Answer:
29
Step-by-step explanation:
27 + 28 + 29 = 84
Answer:
D
Step-by-step explanation:
Let the first number be n.
Then the consecutive number will be (n+1).
And the second consecutive number will be (n+2).
We know that it totals 84. So, we can write the following equation:
\(n+(n+1)+(n+2)=84\)
Let’s now solve for n. Combine like terms:
\(3n+3=84\)
Subtract 3 from both sides:
\(3n=81\)
Divide both sides by 3:
\(n=27\)
So, our n or first term is 27.
This means that our sequence is: 27, 28, and 29.
So, our largest number is 29.
Hence, our answer is D.
explain how to break apart the addends to find the sum of 25 16
Answer:
The sum of 25 and 16 is 41.
Step-by-step explanation:
The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:
Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.
Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.
Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.
Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.
So, the sun is 41.
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At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a red 10?
A. 1/2
B. 1/26
C. 1/13
D. 1/4
Answer:
1/13
Step-by-step explanation:
Knowing that:
In a deck of card half of the deck of card are red: 1/2
Also means 52/2 = 26
There are 2 red 10 in a deck of card.
Solve:
Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.
Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.
GCD (or HCF) of 2 and 26 is 2.
Therefore, divide both by 2.
2/2 = 1
26/2 = 13
Hence, we can see that the simplify form is 1/13.
As a result, the probability of getting a red 10 is 1/13.
~lenvy~
Halla la longitud de BC & AB sabiendo que AB es igual a 3 veces lo que mide BC, siendo AC 60CM.
La necesito porfavor
Answer:
La longitud de BC es 15 cm y la longitud AB es 45 cm
Step-by-step explanation:
Ecuaciones
Tenemos un segmento AC de longitud 60 cm, dividido en dos segmentos BC y AB tal que:
AB+BC=60 cm
También sabemos que AB=3BC. Reemplazando en la ecuación anterior, tenemos:
3BC+BC=60 cm
Reuniendo términos semejantes:
4BC=60 cm
Despejando BC:
BC=60/4 = 15 cm
Como AB=3BC, entonces
AB=3*15= 45 cm.
La longitud de BC es 15 cm y la longitud AB es 45 cm
Any help with this ???
Answer:
a) 2 new printers
b) 11 min
Step-by-step explanation:
Given:
5 old printers take 30 min to produce a batch of comic books
4 new printers take 18 min to produce a batch of comic books
.
a) First, we need to find how long does one old and new printer take to produce a batch of comic books:
.
Since 5 old printers take 30 min to do the job, one printer would take 5 times more than this (5 printers work together and they do the job faster than one, that's why we have to multiply):
.
1 old printer does the job in:
5 × 30 = 150 min
1 new printer does the job in:
4 × 18 = 72 min
.
Since one old printer does the job in 150 min, 6 old printers would do this job 6 times faster (that's why we divide):
6 old printers would take:
150 / 6 = 25 min
2 new printers would take:
72 / 2 = 36 min
.
25 < 36
That means, 2 new printers would do this job faster
.
b) In order to find how much less time would this take, we have to subtract:
.
36 - 25 = 11 min
Kristin watches 3 television shows every day. She has already watched 15 shows so far. How many days will it take her to watch a total of 45 shows?
One number is three times another number. If their sum is 52, what are the numbers?
Answer:
13*3+13=52
Step-by-step explanation:
13*3=39
39+13=52
The unknown number will be equal to 13.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that one number is three times another number and their sum is 52. The number will be calculated as,
3n + n = 52
4n = 52
n = 52 / 4
n = 13
Hence, the unknown number is 13.
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what is the surface area for this cylinder
Answer:
≈ 3 619 in²Step-by-step explanation:
Surface area = 2×(base’s area) + lateral area
= 2×(base’s area) + (Perimeter of the base)×height
= 2×(π×12^2)+((2×π×12)×36)
=3 619,11473693544
I’m confused on what number 4 means. Can someone please help?
Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on
Step-by-step explanation:
Graph the equation then find the solution
By graphing the system of equations, we can see that the solution is (4, -2)
How to solve the system of equations?Here we want to solve the system of equations:
y = (-3/2)*x + 4
y = (1/2)*x - 4
To solve this graphically, we just need to graph both equations on the same coordinate axis and find the point where the lines intersect.
The graph can be seen on the image at the end.
We can see that the solution is (4, -2)
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5. Lila flies a drone in the direction of 90 degrees towards Avery. Once she gets to Avery she changes course and flies in the direction of 200 degrees towards Mark. Lila and Avery are 20 feet apart; Mark and Avery are 30 feet apart. How far apart are Mark and Lila?
Answer:
Mark and Lila are 29.83 meters apart.
Step-by-step explanation:
If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 30^2 + 20^2 - 2*30*20*cos(70)
c^2 = 900 + 400 - 1200*0.342
c^2 = 889.6
c = 29.83 m
Mark and Lila are 29.83 meters apart.
hii help pls y’all:/
Answer:
I think the answer is 25%
Answer:
25%is my guess
Step-by-step explanation:
Select the equivalent expression.
(x-³y³) 7 = ?
Choose 1 answer:
B
(xy)⁰
X
10
x21
.
• Y
.
• Y
4
21
multiply the exponents
(x^-3*y^3)⁷ = x^-21*y^21
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Which of these fractions below are equivalent to 3/4?
A) 12/16
B) 6/8
C) 15/20
D) 20/28
E) 24/32
A? B? C? D? OR E?
5 starts the first person to answer me!!!
Hey there!
3/4
= 3 ÷ 4
= 0.75
= 75%
Option A.
12/16
= 12 ÷ 2 / 16 ÷ 2
= 6 / 8
= 6 ÷ 8
= 0.75
= 75%
Thus, this statement is: TRUE
Option B.
6/8
= 6 ÷ 2 / 8 ÷ 2
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option C.
15/20
= 15 ÷ 5 / 20 ÷ 5
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option D.
20/28
= 20 ÷ 2 / 28 ÷ 2
= 10 / 14
= 10 ÷ 2 / 14 ÷ 2
= 5 / 7
= 0.714286
= 71.4286%
Thus, this statement is: FALSE
Option E.
24/32
= 24 ÷ 2 / 32 ÷ 2
= 12 / 16
= 12 ÷ 4 / 16 ÷ 4
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Therefore, your answers are
• Option A. 12/16
• Option B. 6/8
• Option C. 15/20
• Option E. 24/32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Heights for 16-year-old boys are normally distributed with a mean of 68. 3 in. And a
standard deviation of 2. 9 in.
Find the z-score associated with the 96th percentile.
Find the height of a 16-year-old boy in the 96th percentile.
The height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches. The z-score associated with the 96th percentile is 1.75.
To find the z-score associated with the 96th percentile, we can use the following steps:
1. Locate the percentile in a standard normal distribution table or use a calculator that can compute percentiles (e.g., a graphing calculator or an online calculator).
2. For the 96th percentile, we find the corresponding z-score. Using a standard normal distribution table or an online calculator, the z-score is approximately 1.75.
So, the z-score associated with the 96th percentile is 1.75.
To find the height of a 16-year-old boy in the 96th percentile, we can use the following formula:
Height = mean + (z-score × standard deviation)
Here, the mean height is 68.3 inches, the z-score is 1.75, and the standard deviation is 2.9 inches. Plugging these values into the formula:
Height = 68.3 + (1.75 × 2.9) ≈ 68.3 + 5.075 ≈ 73.375 inches
So, the height of a 16-year-old boy in the 96th percentile is approximately 73.375 inches.
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URGENT WILL GIVE BRAINLIST, please answer these 3 questions
Answer:
Q.8:use the equation \(y-y_1=m(x-x_1)\) \(y-(-4)=-6(x-(7))\\y+4=-6x+42\\y=-6x+38\)Q.9:Find slope with \(slope=\frac{y_2-y_1}{x_2-x_1}\) substitute and solve\(slope=\frac{(1)-(-3)}{(3)-(1)} =2\) then as follows\(y-y_1=m(x-x_1)\\y-(1)=2(x-(3))\\y-1=2x-6\\y=2x-5\) Q.10:Find slope \(slope=\frac{(12)-(2)}{(2)-(7)}=-2\) then\(y-y_1=m(x-x_1)\\y-(2)=-2(x-(7))\\y-2=-2x+14\\y=-2x+16\)8x=2 |6x -2| please show me the first step
well, tis noteworthy that whenever we have an absolute value equation is really a piece-wise function in disguise, namely the absolute expression is really two in disguise.
\(8x=2|6x-2|\implies \cfrac{8x}{2}=|6x-2|\implies 4x=|6x-2|\implies \begin{cases} 4x=+(6x-2)\\ 4x=-(6x-2) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=+(6x-2)\implies 4x=6x-2\implies 0=2x-2 \\\\\\ 2=2x\implies \cfrac{2}{2}=x\implies \boxed{1=x} \\\\[-0.35em] ~\dotfill\\\\ 4x=-(6x-2)\implies 4x=-6x+2\implies 10x=2\implies x=\cfrac{2}{10}\implies \boxed{x=\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x= \begin{cases} 1\\[1em] \frac{1}{5} \end{cases}~\hfill\)
Does someone mind helping me with this? Thank you!
The number of seconds that it would take the thermometer to hit the ground would be 22 seconds.
How to find the time taken ?The equation for the height of the falling thermometer is h(t) = -16t² + initial height. We know that the initial height is 7,744 feet, and we want to find when the thermometer hits the ground, or when h(t) equals zero.
Setting h(t) to zero gives us:
0 = -16t² + 7744
Solve this equation for t:
16t² = 7744
t² = 7744 / 16 = 484
So, t = √(484) = 22 seconds
It will take 22 seconds for the thermometer to hit the ground.
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What is the common difference of the arithmetic sequence?
7.2.-3.-8.-13....
Becca made 2 trays of rolls and bisouits. Each tray had 12 folls and 6 biscuits. How many total rols and bisouits did Beca make?
Becca made a total of 24 rolls and 12 biscuits.
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:
Total rolls = 2 trays × 12 rolls per tray = 24 rolls
Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits
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according to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?
Answer: the answer is 0.125 foot per square foot
Step-by-step explanation:
PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE
Answer:
A, B, D, E
Step-by-step explanation:
Given expression:
(0.06) · (0.154)When multiplying decimals, multiply as if there are no decimal points:
\(\implies 6 \times 154 = 924\)
Count the number of digits after the decimal in each factor:
0.06 → 2 digits0.154 → 3 digitsTherefore, there is a total of 5 digits.
Put the same number of total digits after the decimal point in the product:
\(\implies (0.06) \cdot (0.154)=0.00924\)
-----------------------------------------------------------------------------------------------
Answer option A
\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)
When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.
Therefore:
6 ÷ 100 = 0.06154 ÷ 1000 = 0.154\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)
Therefore, this is a valid answer option.
Answer option B
\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)
Multiply the numbers 6 and 154:
\(\implies 6 \times 154 = 924\)
Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).
\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)
Therefore, this is a valid answer option.
Answer option C
\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)
Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:
\(\implies 6 \cdot 154 = 924\)
Count the number of digits after the decimal in each factor:
0.1 → 1 digit0.01 → 2 digitsTherefore, there is a total of 3 digits.
Put the same number of digits after the decimal point in the product:
\(\implies 0.924\)
Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.
Answer option D
\(\boxed{6 \cdot 154 \cdot (0.00001)}\)
Again, employing the technique of multiplying decimals.
As there are a total of 5 digits after the decimals:
\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)
Therefore, this is a valid answer option.
Answer option E
\(\boxed{0.00924}\)
As we have already calculated, (0.06) · (0.154) = 0.00924.
Therefore, this is a valid answer option.
Does the point (-5, 10) satisfy the inequality y = 5x + 9?
Yes or no
Answer:
no
you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10
so it does not satisfy
Hello!
In order to see whether or not a point satisfies an equation, just plug in the values:-
Instead of y, plug in 10:-
10=5x+9
Instead of x, plug in -5:-
10=5(-5)+9
Solve:-
10=-25+9
10=-16
See? We have a false statement.
Hence, this point does not satisfy the inequality.
I hope it helps you.
If you have any queries regarding my answer, please comment :)
\(\bf{CupcakeRealm8701~:)}\)
particle of charge Q is fixed at the origin of an xy coordinate system. At t=0 a particle (m−0.888g.q−3.19μC is located on the x axis at x=20.7 cm, moving with a speed of 38.3 m/s in the positive y direction. For what value of Q will the moving particle execute circular motion? (Neglect the gravitational force on the particle.) Number Units
To make the moving particle execute circular motion, the fixed particle at the origin must have a charge of approximately 8.00 nC.
Circular motion is achieved when there is a balance between the centripetal force and the electrostatic force acting on the moving particle. The centripetal force is provided by the electrostatic force between the two particles.
Given the mass of the moving particle (m = 0.800 g), its charge (q = 4.00 μC), its speed (v = 50.0 m/s), and its position on the x-axis (x = 20.0 cm), we can calculate the required charge of the fixed particle (Q).
The centripetal force is given by F_c = m * v^2 / r, where r is the distance between the particles. In this case, r = x = 20.0 cm = 0.20 m.
The electrostatic force is given by F_e = k * (Q * q) / r^2, where k is the electrostatic constant.
For circular motion, F_c = F_e, so we have:
m * v^2 / r = k * (Q * q) / r^2
Simplifying the equation, we can solve for Q:
Q = (m * v^2 * r) / (k * q)
Substituting the given values, we have:
Q = (0.800 g * (50.0 m/s)^2 * 0.20 m) / (k * 4.00 μC)
Using appropriate unit conversions, the final answer is approximately 8.00 nC.
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Therefore, to make the moving particle execute circular motion, the fixed particle at the origin must have a charge of approximately 8.00 nC.
A particle of charge Q is fixed at the origin of an xy coordinate system. At t=0 a particle (m=0.800 g, q=4.00 muC) is located on the x axis at x=20.0 cm, moving with a speed of 50.0 m/s in the position y direction. For what value of Q will the moving particle execute circular motion?
diameter is 8.8 what is the circumference
Answer: 27.64601535159
Step-by-step explanation:
circumferenceC=πd
C=π×8.8
C=8.8π
C=27.64601535159
Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following: A. B. C. D.
Answer:
B
Step-by-step explanation:
Given
\(\left[\begin{array}{ccc}3&2\\-4&6\\7&5\end{array}\right]\) - \(\left[\begin{array}{ccc}-1&0\\5&2\\4&9\end{array}\right]\)
Subtract corresponding elements to obtain difference, that is
\(\left[\begin{array}{ccc}3+1&2-0\\-4+5&6-2\\7-4&5-9\end{array}\right]\)
= \(\left[\begin{array}{ccc}4&2\\1&4\\3&-4\end{array}\right]\) → B
Solve this -7 3/5 + (-3 2/3)
A-10 1/2
B-11 4/15
C- 4 1/2
D-10 9/15
9514 1404 393
Answer:
B -11 4/15
Step-by-step explanation:
-7 3/5 -3 2/3 = -(7 3/5 +3 2/3)
= -((7 +3) +(3/5 +2/3)) = -(10 +9/15 +10/15)*
= -(10 +19/15) = -(10 +1 4/15)
= -11 4/15
___
* you know at this point that the correct answer is B. The integer part cannot be 10, but must be 11.
A triangle with vertices L(-1,5), M-1, 7), and MC-8,5) is rotated 270° counterclockwise about the origin.A. L(-5, 1), M(-7, 1), N(-5, 8)B. L(1, 5), M(1, 7), N(8, 5)C. L(5, 1), M(7, 1), N(5, 8)D. L(5, -1), M(7, 1), N(5, -8)
when rotating a point 270° counterclockwise, any point (x,y) becomes (y,-x)
So,
L(-1,5), M( -1, 7), and N(-8,5)
L (-1,5) ⇒ L' (5,1)
M (-1,7) ⇒ M' (7,1)
N(5,1) ⇒ N'(5,8)
Correct option: C. L(5, 1), M(7, 1), N(5, 8)
The total health care expenditures E in a certain country (in trillions of dollars) can be approximated by E=0.126x+1.513, where x is the number of years after 2000 . Assuming the trend continues, determine the year in which health care expenditures are $4.663 trillion
Health care expenditures are projected to reach $4.663 trillion in the year 2025, assuming the trend continues as described by the given equation.
To determine the year in which health care expenditures reach $4.663 trillion, we need to solve the equation \(E = 0.126x + 1.513\) for \(x\) when \(E = 4.663\).
Substituting the value of \(E\) into the equation, we have:
\(4.663 = 0.126x + 1.513\)
Now, we can solve for \(x\):
\(0.126x = 4.663 - 1.513\)
\(0.126x = 3.15\)
\(x = \frac{3.15}{0.126}\)
\(x \approx 25\)
The value of \(x\) represents the number of years after 2000. To determine the year, we add \(x\) to 2000:
Year = 2000 + 25
Year = 2025
Therefore, health care expenditures are projected to reach $4.663 trillion in the year 2025, assuming the trend continues as described by the given equation.
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14-18-10-10-20 Mean _ Median _ Mode _ Range
Answer:
This would be mode because 10 shows up the most
Step-by-step explanation:
14-18-10-10-20 Mean-median-mode
mode- is what number shows up the most
Answer:
mean = 14.4
median = 14
mode = 10
range = 10
Step-by-step explanation:
mean is adding them all then dividing all that by the number of numbers
median is the middle number from least to greatest
mode is the most often used number
range is the biggest number minus the smallest