Answer:
18
Step-by-step explanation:
First, we know that the total is equal to 100%. We then know that 14 students make up 43.75%, and eight grade students make up the rest, at 100-43.75=56.25%.
One way we can figure this out to find how many students make up each percent. To find this, we can simply divide the number of students (14) by their percent (43.75) to get 14 students/43.75 percent = 0.32 students per percent. We can then multiply this by 56.25 to get 18 as our answer for the number of eight graders.
Answer: 18
Step-by-step explanation:
14/43.75% = 0.32
56.25 × 0.32 = 18
Therefore, 18 is the answer to this equation.
please help i need to pass math class
Answer:
4. (B)
5. (C)
6. (C)
7. (B)
8. (B)
9. (D)
10. (B)
Hope this helps! Have a nice day!
Step-by-step explanation:
\frac{1}{cos^{2} x}-(3+\sqrt{3} )tanx-3+\sqrt{3} =0
Step-by-step explanation:
pls type the question
properly and I swear I will solve it
How do i solve this plss helpp
Hope this helps!! :)))))))
Which graph shows the solution to the system of linear inequalities?
y > Two-thirdsx + 3
y ≤ Negative one-thirdx + 2
Answer:
b
Step-by-step explanation:
We want to get the graph for the given system of linear inequalities. The graph can be seen at the end of the answer.
How to graph a system of inequalities?
First, we have the system:
y > (2/3)*x + 3
y ≤ -(1/3)*x + 2
Let's analyze each one individually.
In the first one, you can see that y is larger than the line, so we need to shade the region above the line, and the line must be a dashed line, meaning that the points on the line are not solutions.
In the second one, y is smaller than or equal to the line, so we need to shade the region below the line, and this time the line must be a solid line because the points on the line are solutions.
The graph of the system of inequalities can be seen below.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
can somebody help me with this
Answer:
If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1
9/a = -1
a = -9
Answer:
-9
Step-by-step explanation:
flip and change the sign of [tex]\frac{3}{4}[/tex]
[tex]\frac{4}{-3}[/tex]
set equal to each other
[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]
cross multiply
4a = -36
divide by 4
a = -9
3. Given that a is 30% of b, find the value of a/4b
Answer:
a/4b = 0.075
Step-by-step explanation:
a = 30% of b
a = 30/100 × b
a = 0.3b
The value of a/4b is calculated as:
= 0.3b/4b
= 0.075
A piece of ribbon is x inches long. Find the total length of 7 equal pieces of ribbon. Express the answer in terms of x.
Answer:
7x
or 7*x
Step-by-step explanation:
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roots is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .
Answer:
Option : The product of the roots is - 4
Step-by-step explanation:
[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]
Therefore the roots are -4 and 1
The product of the roots are -4 x 1 = -4
Help please!! Worth 14 points!
Answer:
6 days
Step-by-step explanation:
Hi there!
Let d be equal to the number of days that pass.
1) Form expressions
We're told that our sister earns $30 a day, but needs to pay $60 at first:
[tex]30d-60[/tex]
We're also told that we earn $20 a day:
[tex]20d[/tex]
2) Form an equation
We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.
For our income and our sister's income to equal each other, the following must be true:
[tex]30d-60=20d[/tex]
Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.
3) Solve for d
[tex]30d-60=20d[/tex]
Subtract 30d from both sides to isolate d on one side
[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]
Divide both sides by -10 to isolate d
[tex]6=d[/tex]
Therefore, for both our income and our sister's income to become equal, 6 days would pass.
I hope this helps!
What is the result if -8ײ +24× divided by -4×
1 Select the correct answer. Kalid simplified a polynomial expression as shown. (6x3 + 8x2 − 7x) − (2x2 + 3)(x − 8) step 1 (6x3 + 8x2 − 7x) − (2x3 − 16x2 + 3x − 24) step 2 6x3 + 8x2 − 7x − 2x3 − 16x2 + 3x − 24 step 3
Answer:
So, the step1 is correct.
Step-by-step explanation:
The expression is
[tex](6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24[/tex]
So, the step 1 is correct.
Nutz and Boltz, Inc., employs one hundred people; eighty are lawyers and twenty are engineers. Albert, a lawyer at the company, is quiet, likes puzzles, and carries a calculator. Most people, when asked whether Albert is a lawyer or an engineer, will guess that he is an engineer. These people are using __________ to make this faulty guess. A correct guess would have been made if they had used __________.
Answer:
These people are using the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.
Step-by-step explanation:
Representativeness heuristic occurs when the similarity of items or events causes individuals to be perplexed about the likelihood of a given result. People usually make the error of guessing that two comparable things or occurrences are more closely related than they are. Therefore, the similarity of an engineer and a calculator confuse the people to guess that Albert is an engineer.
Base rate information refers to the information provided by base rates which are a type of statistic that is used to describe the percentage of a population that exhibits a certain feature. Base rates suggest the likelihood of something based on the lack of other facts. Using the information in the question as an example, if 20% of the employees were engineers and 80% were lawyers, the base rate of lawyers is simply 80%. This implies that Albert is a lawyer, but we won't know for sure until we look at the total number of workers that the base rate information reveals that he is a lawyer.
Therefore, these people are using the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.
Question 2 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10+
(7.2)
-10
(0,0)
10
- 10+
A. y=-7x
O B. y = 2x
Answer:
D)
[tex]y = \frac{2}{7} x[/tex]
Step-by-step explanation:
[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]
Y-intercept=0
The equation of line is y = ( 2/7 )x where the slope of line is m = 2/7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 0 )
Let the second point be Q ( 7 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 0 ) / ( 7 - 0 )
Slope m = 2/7
Now , the equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - 0 = ( 2/7 ) ( x - 0 )
y = ( 2/7 )x
Therefore , the value of A is y = ( 2/7 )x
Hence , the equation of line is y = ( 2/7 )x
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
Sonya wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs
Answer:
48 inches
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
144 = s^2
Taking the square root of each side
sqrt(144) = sqrt(s^2)
12 = s
The side length is 12
We want to find the perimeter to determine the amount of ribbon
P =4s
P =4*12
48 inches
An advertising company conducted a survey to determine how often people of different ages shopped online. The table shows the data.
Answer:
Teens who use online shopping sometimes = 6
total number of people who use online shopping sometimes = 20
total percentage of teens using online shopping sometimes = 6/20*100 => 30%
hope it helps
have a nice day
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
I really need help :(
Answer:
Value of x = 3√2 unit
Step-by-step explanation:
Given:
Hypotenuse of given triangle = 6 unit
Length of equal side = x units
Find:
Value of x
Computation:
Using pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse of given triangle² = Perpendicular² + Base²
6² = x² + x²
36 = 2x²
x² = 36/2
x² = 18
x = √18
x = 3√2
Value of x = 3√2 unit
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number.
Answer:
283 people went this year to the stadium.
Step-by-step explanation:
Let's put this data into pieces so it's less overwhelming.
Last year 260 students went to the prom.
Currently the number of students who attended has increased by 9% from last year.
And the question is asking how many students attended this year?
Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?
0.09 * 260 = 23.4
260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.
tion 9 of 10
10 Points
Two sides of a triangle have lengths 4 and 8. Which of the Two sides of the triangle have lengths of 4 and 8. Which of the following can NOT be the length of the third side?
A. 7
B. 4
C. 5
D. 6
Answer:
B. 4
Step-by-step explanation:
the sum of two sides of a triangle should be longer than one other side
NUMBER BASES TEST
1. Write the following numbers in expanded form:
(a) 11012
(b) 4315
(c) 21010
2. For the following numbers, state: (i) the place value,
(ii) the value of the digit indicated in brackets.
(a) 41325 (1)
(b) 11012 (0)
(c) 763210 (6)
3. Convert each of the following base 10 numbers to the base indicated in brackets:
(a) Change 8410 to base 5.
(b) Change 6710 to base 5.
(c) Change 2310 to base 2.
(d) Change 4410 to base 2.
Answer:Number 1
a. eleven thousand and twelve
b. four thousand three hundred and fifteen
c. twenty one thousnad and ten
Answer:Number 2
a.I one thousand
II one tousand
b.I hundreds
II cero
c.I ten thousands
II sixty thousand
Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?
Answer:
Red=10 Pink=30
Step-by-step explanation:
you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red
Need help with this!!!!
Answer:
Cuatro es la respuesta también conocida como d
Answer:
Step-by-step explanation:
Lines RS, TV, and SW are shown.
On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8).
Which statements are true about these lines? Select three options.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.
9514 1404 393
Answer:
(b) Line SW has an undefined slope.
(c) Line TV has a slope of 0.
(d) Lines RS and TV are parallel.
Step-by-step explanation:
A horizontal line has 0 slope. Lines RS and TV are horizontal, hence are parallel and have 0 slope.
A vertical line has undefined slope. Line SW is vertical, hence has undefined slope.
Answer:
B,C,D
Step-by-step explanation:
Find the volume of this sphere.
Use 3 for T.
Please help me. I am confused, and I will give you anything you want. Just help me i swear I do anything. SOS. I just need one question to be answer
Emma and Zeke own an online business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
please answer the question by reading the text. also what is the relationship between
1) Write an equation describing the relationship between
Answer:
Step-by-step explanation:
P= plain coasters
L= logo coasters
3(P+L) +25 if they want to buy logo coasters or logo and plain coasters
3P if they want to buy plain coasters
no matter the amount of logo coasters there is a one time charge of $25
So we do not need to know how many with logo
The prize of both kind of coaster is $3
Help i will give brainliest to the best answer.
Answer:
-2
Step-by-step explanation:
1. reduce the numbers by taking out the greatest common factor which is 9.
2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4
Answer:
-2
Step-by-step explanation:
[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]
changing division sign to multiplication and doing reciprocal
[tex]-\frac{8}{9}*\frac{9}{4}[/tex]
9 and 9 gets cancel so,
[tex]-\frac{8}{4}[/tex]
4 divides 8 exactly by 2 and keep minus sign as it is
-2
4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31
Answer:
y = (-1/2)x + 21/2
Step-by-step explanation:
Given equation:
y - 2x + 7
Coordinates = (5,8)
Find:
Perpendicular equation
Computation:
y = mx + c
y - 2x + 7
y = 2x - 7
So,
m = 2
The negative reciprocal of 2 is -1/2
So,
For,
Coordinates = (5,8)
y = mx + c
8 = (-1/2)(5) + c
8 = -5/2 + c
c = 8 + 5/2
c = 21 /2
So,
y = mx + c
y = (-1/2)x + 21/2
Evaluate.
3·(7-3)²=?
The side of a right triangle opposite the right angle.
Answer:
hypotenuse
Step-by-step explanation:
The side opposite the right angle has a special name - hypotenuse
The other two sides of the right triangle are called legs
What is x equal to????
Answer:
x = 20
Step-by-step explanation:
The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is
4x + 2 + x + 78 = 180
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
