Answer:
No solutions
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Distribute the 8
16x - 72 = 4(5 + 4x)
Distribute the 4.
16x - 72 = 20 + 16x
Add 72 to both sides
16x = 92 + 16x
Subtract 16x from both sides
0 = 92
0 does not equal 92 therefore there are no solutions
Answer:
No solution
Step-by-step explanation:
8(2x - 9) = 4(5 + 4x)
Simplify
8(2x−9).
Start simplifying.
0+0+8(2x−9)=4(5+4x)
Simplify by adding zeros.
8(2x−9)=4(5+4x)
Apply the distributive property.
8(2x)+8(−9)=4(5+4x)
Multiply 2 by 8.
16x+8(−9)=4(5+4x)
Multiply 8 by −9.
16x−72=4(5+4x)
Simplify
4(5+4x).
Apply the distributive property.
16x−72=4×5+4(4x)
Multiply 4 by 5.
16x−72=20+4(4x)
Multiply 4 by 4.
16x−72=20+16x
Move all terms containing x to the left side of the equation.
Subtract 16x from both sides of the equation.
16x−72−16x=20
Combine the opposite terms in
16x−72−16x.
Subtract 16x from 16x.
0−72=20
Subtract 72 from 0.
−72=20
Since −72 ≠ 20, there are no solutions.
Hope it is helpful...Date
Page
Out
of
100 students who appeared in
grade.VIII annual examination
of
Ram
Janaki Secondary School.60 passed in
mothematics, 50 in science and 20 students
passed in both subject find how
many
failed in both subject ? Aso show above information
student
in Venn-
bright
Venn-diagram
huan anatoa )
Sonnant Babase
eigshoos te
oloh
Answer:
10 student failed in both subjects.
Step-by-step explanation:
Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:
(100 - 20) - (60 - 20) - (50 - 20) = X
80 - 40 - 30 = X
40 - 30 = X
10 = X
Therefore, 10 student failed in both subjects.
Bill is ten years older than his sister. If Bill was twenty-five years of age in 1983, in what year could he have been born?
Answer:
1968
Step-by-step explanation:
show the following equations on a number line. a) -16 < 4x _ x÷2
Step-by-step explanation:
-16(2)<4x(2)-x/2(2)
-32<8x-x
-32<7x
-32/7<7x/7
-32/7<x
-4.5714285714285714<x
~-4.56<x
So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade
Find the mean, median, and mode of the following set of data:
54, 48, 37, 55, 51, 54, 42, 52, 53
Answer:
Step-by-step explanation:
mode is means the data which is repeated maximum number of times.
here 54 is repeated maximum number of times so the mode of the given data is 54.
to calculate median u must arrange the data from ascending to descending order.
37 , 42 , 48 , 51 , 52 , 53 , 54 , 54 , 55 ,
median = (N + 1) /2 (N means number of data)
=9 + 1/2
=10/2
=5 th term
=52
Guide Questions:
1. How students have age between 12 and 14?
2. How many 14-year-old grade 7 students do there?
Answer:
2. There are 5 students 14 years old 7 grade
Line A has a slope of 3/2 and passes through the point (3, 3). Line B has a slope of – 1/3 and passes through the point (-4, -2). At what point does line A intersect line B? Line Aintersects line B at the point ( , ).
Answer:
The lines meet at (-1, -3)
Step-by-step explanation:
Line A :
[tex](x_1, y_1) = (3, 3) \ ; \ slope, \ m_A = \frac{3}{2}\\\\Equation \ of \ line \ A : (y - 3) = \frac{3}{2}(x - 3)[/tex]
[tex]2(y - 3) = 3(x-3)\\2y - 6 = 3x - 9\\2y = 3x - 9 + 6\\2y = 3x -3[/tex]
Line B :
[tex](x_2,y_2) = (-4, -2) \ ; \ slope , m_B = -\frac{1}{3}\\\\Equation \ of\ line \ B: (y -(-2)) = -\frac{1}{3}(x -(-4))[/tex]
[tex]3(y + 2) = -1(x+4)\\3y + 6 = -x -4\\3y = -x - 4 - 6 \\3y = -x - 10[/tex]
Solve for x and y from the linear equation to find where line A and line B meets :
2y = 3x - 3 => 3x - 2y = 3 ------- (1)
3y = -x - 10 => -x = 3y + 10
=> x = - 3y - 10 --------(2)
Substitute (2) in (1) : => 3(- 3y - 10) - 2y = 3
-9y - 30 -2y = 3
-11y = 3 + 30
-11y = 33
y = -3
Substitute y in (2) : => x = -3 (-3) - 10 = 9 - 10 = -1
Find the word or phrases that best complete the sentence intersecting planes ___ intersect in exactly one point
Answer:
never
Step-by-step explanation:
Intersecting planes are planes that intersect along a given line.
To explain this better, consider the following definitions:
i. A point: This is denoted by a dot and it is a location marked on a space or a plane.
ii. A line: This is the distance between two points. It is one-dimensional.
iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.
Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.
What is the perimeter, in units, of polygon EFGHJK?
Answer:
38 units
Step-by-step explanation:
The sides of the polygon can be counted directly, as they are all straight
EF = 2
FG = 10
GH = 9
HJ = 8
JK = 7
KE = 2
perimeter is the sum of all sides
= 2 + 10 + 9 + 8 + 7 + 2
= 38 units
If the smallest angle of rotation for a regular polygon is 18, how many sides does polygon have?
10
12
20
24
Answer: There are 20 sides of a given regular polygon.
Step-by-step explanation:
To calculate the sides of a regular polygon, we use the equation:
[tex]\text{Number of sides}=\frac{360^o}{\text{Smallest angle of rotation}}[/tex]
We are given:
Smallest angle of rotation = [tex]18^o[/tex]
Putting values in above equation, we get:
[tex]\text{Number of sides}=\frac{360^o}{18^o}\\\\\text{Number of sides}=20[/tex]
Hence, there are 20 sides of a given regular polygon.
Answer:
20
Step-by-step explanation:
edg did the test
A garden is 10m by 12m. A fence is put around the outside of the garden. The total length of the fence is
Jen's test grades for this term are 85,92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?
Answer:
Step-by-step explanation:
(85+92+95+x)/4
=90
(272+x)/4
=90
90×4=360
272+x=360
x=360-272=88
so it's the lowest score
Does f(x) = - 3x² + 6x - 4 have a maximum or
minimum? Find the value
Answer:
Maximum value.
it = -1.
Step-by-step explanation:
Maximum value as the coefficient of x^2 is negative.
To find this value we convert to vertex form:
y = -3x^2 + 6x - 4
y = -3(x^2 - 2x) - 4
y = -3[(x - 1)^2 - 1] - 4
y = -3(x - 1)^2 + 3 - 4
y = =3(x - 1)^2 - 1
Minimum value = -1.
What is the distance between the following points?
What is the interquartile range (IQR) of the data?
Answer:
15
Step-by-step explanation:
looks like quartile 3 is at 45
IQR is Q3-Q1 so 45-30 = 15
Sunny and Rashika collect stamps. Sunny has collected 3 times as many stamps as Rashika. Together, they have 304 stamps. How many stamps does each person have? Show your work.
Answer:
Sunny = 228 stampsRashika = 76 stampsStep-by-step explanation:
Sunny has collected 3 times the stamps that Rashika has collected but in total they have both collected 304 stamps.
Assume that Rashika has x stamps. This would mean that Sunny has (3 * x) or 3x stamps.
In an equation this would be:
x + 3x = 304
4x = 304
x = 304/4
x = 76 stamps
Rashika has 76 stamps.
Sunny has 3 times that number:
= 76 * 3
= 228 stamps
A plumbing bill was $200. This included $50 for parts and $25 per hour for labor. Find the number of hours of labor.
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hrs. of labor
Step-by-step explanation:
200-50= 150
150/25= 6
can someone PLEASE HELP me?? the answer has to be in simplest form and i keep getting it wrong. the ixl score needs to be at 68 and im only at 30. i really need this done please
explaining your answer to me will get you brainliest.
Answer: The formula for sector area is simple, multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2. So you want to do that for every problem like this
Step-by-step explanation:s
=========================================================
Explanation:
Let's ignore the area of the shaded slice for now. Instead, we'll find the area of the full circle
We plug in the radius r = 1 to find that
A = pi*r^2
A = pi*1^2
A = pi
The exact area of that full circle is pi square meters. You can think of an actual pie (the baked pastry, not the constant) with this area as a way to help conceptualize things.
If we wanted the whole circle, then we'd say pi is the answer. However, we only want a slice of that circle. The fractional amount 66/360 represents the slice we want. This fraction reduces to 11/60 after you divide both parts by 6. If you were to cut the pizza up into 60 slices, then you would shade 11 of them in to represent the green area.
Multiply 11/60 with the area pi to get the final answer 11pi/60
This answer is exact in terms of pi
To get an approximate value, you could replace pi with 3.14 to get 11pi/60 = 11*3.14/60 = 0.57567 meaning the green shaded area is roughly 0.57567 square meters. Use more decimal digits of pi to get a more accurate shaded area.
There are 18 apples and a number of oranges in a box. The probability of choosing an
3
-
apple is
Find the total number of apples and oranges in the box.
3/7
Answer:
60 apples and oranges
Step-by-step explanation:
18/3/7 = 42
18/42 = 3/7
18+42 = 60
How do you write an equivalent logarithmic equation for e^4=x
Answer:
4 = ln x
Step-by-step explanation:
e^4=x
Take the natural log of each side
ln(e^4)=ln(x)
We know ln a^b = b ln a
4 ln e = ln x
ln (e) =1
4 = ln x
Ranking correct answer brainliest! If you need more points check unanswered questions
Answer:
8.66
Step-by-step explanation:
b = a sqrt(3)
Help, need index form
Refer to the attachment for complete calculation.
3²× 11^-9
What is an equation of the line that passes through the points (-5,6) and (7,6)?
The surface area of Canada is 9,984,671 square kilometers. Which number, written in scientific notation, is the best approximation of the surface area?
Answer:
9.99 *10 ^ 6 km
Step-by-step explanation:
Given that the surface area of Canada is 9,984,671 square kilometers.
The standard form of scientific notation is expressed as;
A * 10^n
A is any values between 1 to 9
n is an integer
Given
9,984,671 square kilometers.
9,984,671 = 9.99 *10 ^ 6
Hence the required scientific notation is 9.99 *10 ^ 6
Silas has 5 1/4 cups of flour. He uses 3 1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2 3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need?
Answer:
He has enough to bake the cookies with 1 cup of flour left over.
Step-by-step explanation:
5.25 cups to start - 3.5 for the bread = 1.75 remaining
1.75 cups + 2 cups from neighbors = 3.75 cups
3.75 - 2.75 for cookies = 1 cup left over.
Please help this is due today!!
Answer:
81 grams
Step-by-step explanation:
if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7
then solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81
Write the Slope Intercept Form equation of the line that passes through the points (-4,-2) and (-2,3)
Answer:
y = 5/2x + 8
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - (-2) / -2 - (-4)
5 / 2
= 5/2
y = 5/2x + b
3 = 5/2(-2) + b
3 = -5 + b
8 = b
Find the volume of a
rectangular prism where
1= 3 feet, w= 7 feet, and
h = 9 feet. (V = lwh)
Answer:
v = 189 ft³
Step-by-step explanation:
v = lwh
v = 3 * 7 * 9
v = 189 ft³
What is the solution set of 6 x^2 - 24 = 0?
{-2}
{-2, 2}
{2}
Answer: 1. x = 2
2. x = -2
Step-by-step explanation:
What does "Time (s)" represent in the graph?
Time vs. Position of Battery Operated Car
the y-axis
O the dependent variable
O an inverse relationship
o the independent variable
sition (m)
Answer:
the independent variable
Step-by-step explanation:
tome is the independent variable
position is the dependent variable
In the given graph titled "Time vs. Position of Battery Operated Car," the "Time (s)" represents the independent variable.
The independent variable is typically plotted on the x-axis of a graph and represents the variable that is intentionally changed or controlled in an experiment or study.
In this case, the graph shows how the position of the battery-operated car changes over time, with time being the independent variable.
So the time represents the independent variable.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
slope = 4, point (3,-2) is on the line
Answer:
y = 4x + b
Step-by-step explanation:
We know that (3, -2) is on this line. So 3 = m(-2)+b.
This leaves us with two variables the slope (m) and the y intercept (b).
But wait a minute, the slope is given to us since it says slope = 4.
Our equation is now, 3 = 4(-2)+b
3 = -8 + b
b = 11.
Our final equation is now y = 4x + b.
(y,x) is a point on this line.
Hope this helped!
JoeLouis2