Answer:
7/8
Step-by-step explanation:
In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars?
To solve the above, we add all the fractions together.
= Incisors + Premolars + Molars
= 3/8 + 1/4 + 1/4
Least Common Denominator = 8
= (3 × 1 + 2× 1 + 2 × 1)/8
= 3 + 2 + 2/8
= 7/8
Hence, the fraction of all the teeth are incisors, premolars, and molars is 7/8
What is 8.89 × 1010 in standard notation?
Answer:
8978.9
Step-by-step explanation:
MULTIPLY THE THE GIVEN AND
8.89 × 1010 = 8978.9
THEN THE RESULT WOUD BE THE STANDARD NOTATION.
Determine the seating capacity of an auditorium with 30 rows of seats if there are 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on
Answer:
The seating capacity of the auditorium is 2,340.
Step-by-step explanation:
This question relates to an Arithmetic Progression (AP).
An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.
Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:
Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)
Where;
n = number of rows = 30
a_1 = Number seats in the first row = 20
d = Common difference = 24 - 20 = 28 - 24 = 4
Substituting the values into equation (1), we have:
Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))
Seating capacity = 15 * (40 + (29 * 4))
Seating capacity = 15 * (40 + 116)
Seating capacity = 15 * 156
Seating capacity = 2,340
Therefore, the seating capacity of the auditorium is 2,340.
6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?
Answer:
x < -8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
12 < -3(x + 4)
Step 2: Solve for x
Distribute -3: 12 < -3x - 12Add 12 to both sides: 24 < -3xDivide -3 on both sides: -8 > xRewrite: x < -8Here we see that any value x that is smaller than -8 would work.
It’s drag and drop please help
Answer:
seven more than four times a number is fifteen - 4n+7=15
one-fourth the difference of a number and 15 - 1/4 (n-15)
one fourth a number decreased by 15 - 1-4 n - 15
the quotient of a number and seven is four - n divided by 7 = 4
a number raised to the power of four increased by 7 is 15 - n to the power of 4 - 7=15
Step-by-step explanation:
Anyone know the answer
Answer:
18 deg
Step-by-step explanation:
pi in radians = 180 deg
180/10 would be 18
hope that helps
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.
- Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.
- Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
- Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.
Which driver do you predict will win the next drag race? Support your prediction using the mean and standard deviation.
Answer:
Driver B
Step-by-step explanation:
From the given options, Driver B will win the next race because the previous result shows that Driver B has the fastest race time due to the fact that it recorded the lowest mean race time.
Similarly, the standard deviation of 0.12 seconds illustrates that the driver keep-up with the bearest minimum time frame all through the entire race time.
Answer:
It is B and the other one is Driver C if you have that question
Step-by-step explanation:
PLEASE HELP ME
Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.
Divisor:
A. –3
B. 3
C. x – 3
D. x + 3
Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3
Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3
Answers For Entire Assignment!!
Page 1 D, A, C
Page 2 C
Page 3 B, A
Page 4 C, D, F
Page 5 Identify the factor x + 3 from the given root –3.
Use synthetic division to divide the polynomial by x + 3.
Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.
Factor the quotient to find the two other factors: x + 2 and 2x – 1.
Page 6 B, C, E
Page 7 B, 1.3
Page 8 The student used k = –5 instead of k = 5. And the student did not use a placeholder zero for the x2 term. Also, x – 5 is a factor because there is no remainder when the division is performed correctly.
Trust The Milk. Get that hundo.
A swim coach wants to test whether practicing with swim paddles improves swimmers' breaststroke times in the 100-
meter relay race. He asks the first member of the relay team to continue swimming without paddles. He asks the other
three members of the relay team to swim with paddles for two weeks. He records the swim times of the relay teams with
and without paddles. Which group of an experiment are the other three members of the relay team part of?
-single-blind
-confounding
-control
-experimental
Answer: experimental
Step-by-step explanation:
In a research design such as the one described in the scenario above, participants are separated into two distinct groups. The hypothesis (if swimming with paddles is faster than without paddles) being tested is applied on one of the two groups while the other group remains as before. Hence, the group which receives the treatment which is to be tested (those who swim with paddles) are called the experimental group. The other group of participants who continue to swim without paddles are the control group.
Hence, the other group of three member who were asked to swim with paddles for two weeks are the experimental group because they are the ones who received the actual treatment in the experiment.
five less than three times a number is 1. What is the number?
Answer: 3 times a number can be written as 3x.
Five less than 3x means you must subtract 5 from 3x.
the word "is" means equals,
so 3x-5=10
Step-by-step explanation:
since it is given that 3 times a number less than five is 1
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2
What is the slope, m, and y-intercept for the line that is plotted on the grid?
Answer:
the slope and m is 2 and the y intercept is 4
Step-by-step explanation:
Remember y=mx+b
The bike cost $120. The sales-tax rate was 8%. What is
the total cost of the bike including sales tax?
Answer:
$129.6
Step-by-step explanation:
just use ur calculator i think
Answer:
$129.60
Step-by-step explanation:
8 percent of 120 is 9.6
9.6+120=129.6
I really need help on this question
Answer:
B
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9) with x- coordinate - 6, thus
x = - 6 ← is the equation of the perpendicular line
say they wanna read my mind.. they really wanna read my mind.. telling you rn all you’ll find is a lost soul rich and blind
They want to read my mind they really want to read my mind.
For Part A, use a piece of paper. For parts B-D, use the text box below.
A. Plot the data on a piece of paper. (make sure you label your axes and put a title). Draw a line of best fit.
B. Write an equation for the line of best fit.
C. What income would a person have if he attended school for 2 years? Explain how you got the answer.
D. How many years would you need to attend college in order to have an income of at least $50,000?
Answer:
wait you want me to answer this
What transformation moves Frame 1 to Frame 2?
A) Translation
B) Rotation
C) Reflection
D) Dilation
1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN
The correct answer is C plane HJG
Heyy guys I need help
===================================================
Explanation:
Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.
Focus on triangle ABE. Let's find the missing angle E.
A+B+E = 180
55+55+E = 180
110+E = 180
E = 180-110
E = 70
So angle BEA = 70 degrees
This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.
--------------------
Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C
D+E+C = 180
34+70+C = 180
104+C = 180
C = 180-104
C = 76
Angle C is 76 degrees
Answer:
hey
Step-by-step explanation:
Segment AB is the diameter of circle M. The coordinates of A are (1,6). The coordinates of M are (-3, 8). What are the coordinates of B
1) (-7,10)
2) (5,4)
3) (-1,7)
4) (-2,1)
Step-by-step explanation:
Let the midpoint formula be expressed as;
M(X,Y) = {x2+x1/2, y2+y1/2}
X = x2+x1/2
Y = y2+y1/2
Get x2
-3 = x2 + 1/2
-6 = x2 + 1
x2 = -6-1
x2 = -7
Get y2;
Y = y2+y1/2
8 = y2+6/2
16 = y2+6
Y2 = 16-6
y2 = 10
hence the coordinate of B is (-7, 10). Option A is correct
Write an equation of the line that passes through each pair of points (5,-3), (2,5)
Answer:
8x+(-27)=y
Step-by-step explanation:
To find an equation of a line, you use the formula mx+b=y
M=slope
x=x cooridnates
y=y coordinates
b=y intercept
Slope:
You use the formula y2-y1/x2/x1 to find slope.
5-(-3)/2-5
5+3/-3
8/-3
8
Y intercept:
8(5)+b==3
40+b=-3
b=-37
Equation: 8x+-37=y
The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line passes through each pair of points (5,-3), (2,5)
We know that, the equation of a line passing through two points (x1, y1) and (x2, y2) is given by,
(y-y1) = (y2-y1)/(x2-x1)(x-x1)
Where, (y2-y1)/(x2-x1) is, representing the slope of the line.
Here, x1 = 5, x2 = 2 and y1 = -3, y2 = 5
Equation of the line =
(y+3) = (5+3)/(2-5)(x-5)
y+3 = -8/3(x-5)
3y+9 = -8x+40
3y = -8x+31
Hence, The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
For more references on equation, click;
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What are the equations of the asymptotes of the hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
Answer:
hyperbola?
[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1
Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.
Last year, a middle school band had 80 students. This year,
the band has 120% of that number of students. How many
students are in the band this year?
Answer:
The answer actually is 96
Step-by-step explanation:
Isaac buys a plant that is 3 inches tall. After one week the plant is 5 inches tall. After a second week the plant is 7 inches tall. At this rate, how tall will the plant be after the fifth week? a 15 inches tall b 2 inches tall c 13 inches tall d 11 inches tall
Answer:
C 13 inches
Step-by-step explanation:
Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches
Find the range of the function f(x) = 3x - 2, given the domain {-4, 0, 4}
Answer:
{-14, -2, 10}
Step-by-step explanation:
To find the range, you can use all the domain values and find the output.
f(-4) = 3(-4) - 2
f(-4) = -12 - 2
f(-4) = -14
f(0) = 3(0) - 2
f(0) = 0 - 2
f(0) = -2
f(4) = 3(4) - 2
f(4) = 12 - 2
f(4) = 10
Best of Luck!
Answer:
{-14, -2, 10 }
Step-by-step explanation:
If x + 12 = 40,
what is the value of x + 7
please help
What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12
Answer:
(x + 9)² = 36
Step-by-step explanation:
Given
x² + 18x + 57 = 12 ( subtract 57 from both sides )
x² + 18x = - 45
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(9)x + 81 = - 45 + 81
(x + 9)² = 36
Can someone help me with the questions in the picture?
Roxanne has already jarred 10 liters of jam and will jar an additional 3 liters of jam every
day. How many days does Roxanne need to spend making jam if she wants to jar 16 liters
of jam in all?
Explain please and how to do the equation
Answer:
3
My logic:
so she jars 10 on the first day (that is 1 day) and she wants to jar 16. so if you subtract 10 from 16 you get 6. Now we know she wants to jar 6 more, and if she does 3 every day then you would divide 6 by 3 and get 2. 2+1 is 3, so 3 days. (if you cant chose 3 chose 2 because your teacher might not want yo to count the first day)
Hope this helped!
$39 for a case of 75 bananas
Answer:
?
Step-by-step explanation:
is there more to the question
Answer:
$0.52 per banana
Step-by-step explanation:
brainest right here
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
I need help please
Answer:
1, 2
Step-by-step explanation:
An easy way to find the solution to a system of linear equations is to just replace it with x and y.
1, 2
1+2=3(x+y+3)
2+10=12(2x+5y=12)
Answer:
(1,2)
it's correct answer....be sure it's correct