Answer:
[tex]x=\frac{3}{2}[/tex]
Step-by-step explanation:
Step 1. Put each term in [tex]3x-\frac{1}{2}[/tex] over the common denominator 2.
[tex]\frac{6x}{2}-\frac{1}{2}[/tex]
Therefore we have [tex](\frac{6x}{2}-\frac{1}{2})=4[/tex]
Step 2.
Combine [tex]\frac{6x}{2}-\frac{1}{2}[/tex] into a single fraction.
[tex]\frac{6x-1}{2}[/tex]
Therefore we have [tex](\frac{1}{2}(6x-1))=4[/tex] or [tex]\frac{6x-1}{2}=4[/tex]
Step 3.
Multiply both sides by a constant to simplify the equation.
Multiply both sides of [tex]\frac{6x-1}{2}=4[/tex] by 2:
[tex]\frac{2*(6x-1)}{2}=4*2[/tex]
Step 4.
Cancel the common terms in the numerator and denominator of [tex]\frac{2*(6x-1)}{2}[/tex]
Then we get [tex]\frac{2}{2}*(6x-1)[/tex] which simplifies to [tex](6x-1)[/tex]
So all together we have [tex](6x-1)=2*4[/tex]
Step 5.
Multiply 2 and 4 together and remove the parenthesis.
[tex]6x-1=8[/tex]
Step 6.
Isolate terms with the variable x to the left hand side.
So add 1 to both sides:
[tex]6x+(1-1)=8+1[/tex]
Evaluate [tex]1-1=0[/tex] which cancels out
Step 7.
Add the like terms on the right side:
[tex]6x=9[/tex]
Step 8.
Divide both sides by a constant to simplify the equation.
Divide both sides of [tex]6x=9[/tex] by 6.
[tex]\frac{6x}{6} =\frac{9}{6}[/tex]
Any non-zero number divided by itself is 1.
[tex]x=\frac{9}{6}[/tex] which simplifies to [tex]x=\frac{3}{2}[/tex]
I have 35 quarters and dimes in
my pocket. How many of each do I have if I have $5.45??
HELP Me pls
Answer:
13 Quarters, 22 Dimes
Step-by-step explanation:
.10d + .25q = 5.45
.10 (35 - q) + .25q = 5.45
3.5 - 10q + .25q = 5.45
.25q - .10q = 5.45 - 3.5
.15q = 1.95
q = 13
Plug the value of q to solve for d, or the number of dimes.
d = 35 - q
d = 35 - 13
d = 22
How many three-digit positive integers are there with no repeated digits, if the first digit and the last digit must be odd, but the middle digit can be even or odd
Solve the right triangle. Round decimal answers to the nearest tenth.
MK= 8
40°
determine the general solution of -4sinx = 5cosx
Step-by-step explanation:
Divide both sides by cosine to get:
[tex] - 4tan(x) = 5[/tex]
Divide both sides by -4 to get:
[tex]tan(x) = - \frac{5}{4} [/tex]
Take the arctangent of both sides to get:
[tex]x = arctan( - \frac{5}{4} )[/tex]
Plus any integer rotation of pi (180 degrees)
Let h be a function where y = h(z)
The graph shows the population of a city n months after the establishment of a new automobile plant in the city.
Answer: for sure the answer is increased rapidly
Step-by-step explanation:
The population of the city increased rapidly for the first four months and then slowly approached 7000 people.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
WE have given the graph shows the population of a city n months after the establishment of a new automobile plant in the city.
We can see that at 4000 people, the graph increases and then become constant at the rate of 7000 people.
So we can conclude that the population of the city increases rapidly for the first four months and then slowly approached 7000 people.
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Simplify the given polynomial expressions as much as possible
(12a2 + 6a - 8) - (-22a2 + 12 - 15a)
Answer:
34a^2 + 21a - 20
Step-by-step explanation:
(12a^2 + 6a -8) - (-22a + 12 - 15a)
12a^2 + 6a - 8 + 22a + 12 - 15a
34^2 + 6a - 8 - 12 + 15a
34^2 + 21a - 20
The following scatter plot shows the correlation between the number of hours twelve teenagers spent in the mall and the number of dollars they spent on food or drinks while at the mall. Use the line of best fit to estimate how much money a teenager will spend on food if he or she is at the mall for three hours.
$9
$11
$7
$5
The equation of the line of best fit is an illustration of a linear function
The teenager would spend $9 on food if he or she is at the mall for three hours.
How to determine the amount spent on food?
The equation of the line of best fit is given as:
y = 2x + 3
When the teenager spends 3 hours in the mall, it means that:
x = 3
So, we have:
y = 2 * 3 + 3
Evaluate the product
y = 6 + 3
Evaluate the sum
y = 9
Hence, the teenager would spend $9 on food if he or she is at the mall for three hours.
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Compare.
1 and a half hours
100 minutes
Answer:
1 and a half hours < 100 mins
Step-by-step explanation:
1 and a half hours is equal to :
1 hour = 60 mins
half hour = 30 mins
60 + 30 = 90 mins
90 min is less than 100 mins
Therefore / ∴ :
1 and a half hours < 100 mins
what is the volume of a cylinder,in cubic inches, with a height of 16 inches and base diameter of 4 inches? round to the nearest tenths place.
Answer:
201.06 in^3
Step-by-step explanation:
Volume of cylinder = pi r^2 h
= pi (2)^2 * 16 in^3 ( r = d/2 = 4/2 = 2)
Help will give brainlest! Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.
Answer:
Angle a=92, angle c=88, angle b=100, angle d=80
Step-by-step explanation:
I NEED ANSWERS NOW!!! PLEASE
Answer:
a square angle
Step-by-step explanation:
because its a square agnle me barin is right :>
Answer:
1. Police station & mall
2. City hall & market
3. Church & park
4. Hospital & school
5. Park & city hall
6. Church & market
7. Police station & hospital
8. School & mall
9. City hall & mall
10. Church & hospital
See the image below for an illustration of each angle type.
Hope this helps!
For problem 8, find the area of the shaded region. The polygon is a regular polygon. please show work.
Answer:
34.86 unit²
Step-by-step explanation:
[tex]A_{triangle}[/tex] = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] , where s = [tex]\frac{P}{2}[/tex] ; P = a + b + c
[tex]A_{hexagon}[/tex] = 6 × [tex]A_{triangle}[/tex]
[tex]A_{circle}[/tex] = [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ [tex]\frac{22}{7}[/tex]
~~~~~~~~~~~~~~~~~~~
AC and BD are perpendicular bisectors of each other. Find the perimeter of ADB.
A. 60
B. 52
C. 30
D. 50
The length of a rectangle is 4 cm longer than its width.
If the perimeter of the rectangle is 52 cm, find its length and width.
3. There are 9 tables in the cafeteria. Each table has the same number of chairs. If there is a tota of 171 chairs, how many chairs are at each table a. 16 b. 17 C. 18 d. 19
Answer:
d. 19
Step-by-step explanation:
n.o of tables = 9
total n.o of chairs = 171
if there is equal n.o chairs in each table then,
171/9
=19
Giving Brainiest and 60 points! :))
Answer:
Vertical angles! Hope this helped!<3
Answer:
Vertical Angles
Step-by-step explanation:
Adjacent Angles are adjacent to each other and share the same side.
Complementary Angles add up to 90°
Vertical Angles are similar angles on opposite sides of each other
Reflex Angles are angles that are over 180°
Therefore Vertical Angles is the answer
give a formula for the perimeter of a rectangle. when might you want to measure a perimeter?
Answer: perimeter = sum of all side lengths
Step-by-step explanation:
To measure the amount of tape needed to section off a crime scene.
Hope This Helped!
What is the distance, in units, between point D and point E?
M. V5 units
P. 3 units
R. V13 units
S. 5 units
OM
OP
OR
s
The given circle has its center at (−3,3) and has a radius of 5 units. Then, the shortest distance D between the point and the circle is given by.
Solve for X question number 15
A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is 9 feet in length. What is the greatest number of 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon
Answer:
35 strips :)
Step-by-step explanation:
1 foot; 12 inches
Now lets solve!!
12 x 9 = 108
Now we must divide :)
108/15 = 7
Since she has 5 rolls, we need to multiply 1 more time :)
7 x 5 = 35
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
35
Step-by-step explanation:
1 foot = 12 inches
so (multiply both by 9)
9 feet = 108 inches
108 divided by 15 = 7.2
the .2 part can't be used, so each roll can make 7 pieces of ribbon
Theres 5 rolls of ribbon so multiply 7 by 5 which is 35
What is the product of the polynomials below?
(3x2 - 2x - 3)(5x2 + 4x + 5)
A. 15X4+2x3 - 8x -22-15
B. 15X442x 8X2 - 2x + 2
C. 15x4 + 2x3 - 8x2 - 2x -15
D. 15X4+2x8x422x42
The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
To find the product of the polynomials (3x² - 2x - 3) (5x² + 4x + 5), we can use the distributive property of multiplication to multiply each term in the first polynomial by each term in the second polynomial, and then combine like terms.
We can start by multiplying the first term in the first polynomial, 3x^2, by each term in the second polynomial:
3x² (5x² + 4x + 5)
= [tex]15x^4 + 12x^3 + 15x^2[/tex]
Next, we multiply the second term in the first polynomial, -2x, by each term in the second polynomial:
-2x(5x² + 4x + 5) = -10x³ - 8x² - 10x
Finally, we multiply the third term in the first polynomial, -3, by each term in the second polynomial:
-3(5x² + 4x + 5) = -15x² - 12x - 15
Putting these three results together, we have:
(3x² - 2x - 3) (5x² + 4x + 5)
= [tex]15x^4 + 2x^3 - 3x^2 + 12x^2 - 10x^3 - 10x - 15x^2 - 12x - 15[/tex]
Simplifying and collecting like terms, we get:
(3x² - 2x - 3)(5x² + 4x + 5)
[tex]15x^4 - 8x^3 - 6x^2 - 22x - 15[/tex]
Therefore,
The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]
Learn more about polynomials here:
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The speed of a cheetah is 65 miles per hour and the speed of a horse is 50 miles per hour. Rounding to the nearest tenth, how many times as fast is the cheetah as compared to the horse?
A. ) 1. 8
B. ) 1. 3
C. ) 0. 8
D. ) 0. 5
Answer:
B
Step-by-step explanation:
Just do the cheetah's speed divided by the horse's speed:
65/50
and thats your answer
HELP ME PLEASE THERES PICTURES
Answer:
a=14/50 or 28%/0.28
b = the complement would be everything but b
c=36/50
they are reciprocals they are opposites
Step-by-step explanation:
I need this ASAP plss
Reflexive property of congruence
It denotes to the fact that every geometrical shape,figure is congruent to itselfHere AC is common side
So AC [tex]\cong[/tex] ACAC is congruent to itself
Option AWhat are the correct answers? Please, explain how to do it please.
Answer:
a
Step-by-step explanation:
Find the area of the circle shown.
Use 3.14
3
.
14
as an approximation for π
π
. Round your answer to the nearest tenth.
Answer: Area = pie multiplied by radius multiplied by radius (pie × square of radius)
Step-by-step explanation: If you are given diameter, radius will be half of the diameter.
Simply multiply 3.14 by radius squared
Um chile anyways so...
Answer:
maybe 58 or 59
Step-by-step explanation: bad at the so sorry.
Please help me wit this math problem! Will give brainliest!! :)
Step-by-step explanation:
x² x<1
—x²+4x—1 1≤x≤3
x—3 x>3
feel free to leave a comment if still something's confusing.
on a number line 48 to 49 would 48 3/5 be the closest to 49