Answers
subtract 4 from both sides
3/7x= -1/2 - 4
3/7x= -4 1/2
divide both sides by 3/7
x= -4 1/2 ÷ 3/7
convert -4 1/2 to improper fraction
x= (-4*1+1)/2 ÷ 3/7
x= -9/2 ÷ 3/7
multiply by reciprocal of 3/7
x= -9/2 * 7/3
multiply numerators & denominators
x= (-9*7)/(2*3)
x= -63/6
x= -10 3/6
simplify 3/6 by 3
x= -10 1/2
CHECK:
3/7x + 4 = -1/2
3/7(-63/6) + 4= -1/2
(3*-63)/(7*6) + 4= -1/2
-189/42 + 4= -1/2
-4 1/2 + 4= -1/2
-1/2= -1/2
ANSWER: x= -63/6 or -10 1/2
Hope this helps! :)
Related Questions
I need the answer for B! whoever answers first will get a brainliest, a thanks, and 50 points! also plz tell me how you got the answer
Answers
_____
A graphing calculator is helpful.
help please thanks
Which trinomials are perfect square trinomials?
Select each correct answer.
a2+15a+75
a2+26a+169
a2+14a+49
a2+4a+16
Which expressions are differences of squares?
Select each correct answer.
t2−4
h2−20
x2−169
a2+1
Answers
First, to be a perfect square the last term must be a perfect square number. Only 169, 49 and 16 are perfect squares. Second, the middle term must be twice the square root of the last term.
You can check this by using foil on the following expression:
(x + 13)(x + 13) You will get x^2 + 26x + 169 which is one of the perfect square trinomials.
For the difference of squares, you must be using subtraction and have two perfect squares.
7y+4x=3; (-4,-7) write the equation in slope intercept form
Answers
hope this helps
Need this answered today also explain the answers please
Julia measured the high temperature in her town for one week. Using the chart below, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth. Be sure to show your work for finding:
the mean of the set of data
the distance of each number from the mean
the mean absolute deviation
Answers
what is 9.03×10^2 in standard form
Answers
9.03 * 100 =
903
The value of the exponent number in standard from is A = 903
What is Exponential Form?The exponential form is an easier way of writing repeated multiplication involving base and exponents. It has a base and a power
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
It is often used in mathematics and science to represent large or small numbers more efficiently. It can also be used to simplify certain mathematical operations, such as multiplication and division, by using the properties of exponents.
Given data ,
Let the exponential form of the number be A
Now , the value of A = 9.03×10²
To convert 9.03×10² to standard form, we need to multiply the number by the appropriate power of 10 so that it is expressed as a number between 1 and 10.
Starting with 9.03×10² , we can move the decimal point two places to the right to get:
9.03×10^2 = 903
So the standard form of 9.03×10² is simply 903
Hence , the standard form is A = 903
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A box of candy contains 6 lemon, 3 orange, and 4 cherry pieces. If you select a piece of candy at random, what is the probability that you select an orange OR a cherry piece?
Answers
I NEED HELP ASAP!
A metal rod is
7/8
meters long. It will be cut into pieces that are each
1/56
meters long. How many pieces will be made from the rod?
Write your answer in simplest form.
Answers
(7/8)/(1/56)= 7/8 * 56/1=49 pieces
How do u solve g/12=-10
Answers
g=-120
A spherical balloon is inflated until its diameter is 24 in. Air is then released from the balloon until its diameter is 18 in. Approximately many cubic inches of air were released from the balloon?
formula: V =4π(r^3)/3 **make sure you use the radius and not the diameter**
Answers
amount of air released = 4184.6 in³
Explanation:
We can get the volume of released air by calculating the difference between the volume of the balloon before and after the air was released. This difference will represent the amount of released air.
Initial volume of balloon:
V = [tex] \frac{4}{3} [/tex]πr³
We have diameter = 24 in
Therefore:
radius = 24/2 = 12 in
volume = [tex] \frac{4}{3} [/tex]π(12)³
initial volume = 2304π in³
Final volume of balloon:
V = [tex] \frac{4}{3} [/tex]πr³
We have diameter = 18 in
Therefore:
radius = 18/2 = 9 in
volume = [tex] \frac{4}{3} [/tex]π(9)³
final volume = 972π in³
Amount of air released:
amount of air released = initial volume - final volume
amount of air released = 2304π - 972π
amount of air released = 1332π = 4184.6 in³
Hope this helps :)
Answer:
4182 is ur answer
Step-by-step explanation:
Suppose two fractions are both less than 1. Can their sum be greater than 1? greater than 2?
Answers
The biggest fraction which is less than 1 is 0.99
Sum of 0.99 + 0.99 = 1.98, which is greater than 1 but less than 2.
find the diameter of a circle with an area of 226.98
Answers
[tex]V = \pi * r^{2} [/tex]
SO given that
V = 226.98
and [tex] \pi = 3.14[/tex]
Plug in a chug
226.98 = 3.14 * [tex] r^{2} [/tex]
[tex] r^{2}= 72.287[/tex]
r = 8.50
Remember that d = 2 * r
d = 2 * 8.5 = 17
MATH HELP PLEASE WILL GIVE BRAINLIEST!!
What is the trigonometric ratio for cosN ?
Enter your answer, as a simplified fraction, in the boxes.
Answers
=12/13
THERFORE, COS N=12/13
Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(N) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know about the "Soh-Cah-Toa" rule in which cosine ratio is given by :-
[tex] cos(N) = \frac{Adjacent}{Hypotenuse} \\\\
cos(N) = \frac{MN}{LN} \\\\
cos(N) = \frac{36}{39} \\\\
cos(N) = \frac{12}{13} [/tex]
Hence, final answer is [tex] cos(N) = \frac{12}{13} [/tex].
PLZ HELP, GRAPH IT THEN FOR BRAINLIEST
graph the quadratic function f(x)=x^2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
find Vertex (h, k)
x = h= -b/2a = -(-12)/2(1) = 6
k = f(h) = 36 - 12(6) + 27
k = -9
so vertex (6,-9)
y = a(x - h)^2 + k
so
y = (x - 6)^2 - 9
x intercept when y = 0
x^2−12x+27 = 0
(x - 9)(x - 3) = 0
x - 9 = 0; x = 9
x - 3 = 0; x = 3
so x-intercept (9,0); (3,0)
y intercept when x = 0 so y = 27 (0, 27)
OK now you can use these to graph the function
(6, -9) (9,0) and (3,0)
A high-speed elevator can rise 480 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevator?
a- 480 × 30
b- 480 ÷ 30
c- 480 × 0.2
d- 480 ÷ 1/2
Answers
The answer is d.
1 min ÷ 2 = 30 sec
so
30 sec × 2 = 1 min
So, the answer is D.
Hope this helps!
There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library? Enter your answer in the box. WILL GIVE BARINLIYEST
Answers
This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.
To start, lets multiply the total number of children by their individual ages.
6 x 5 = 30 years
14 x 8 = 112 years
There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.
I WILL GIVE BRAINLIEST!!!!
Question 16 Unsaved
Which of the following statements is true?
Question 16 options:
-4.5 < -5.8
-3.4 > -4.2
0 < -8.5
3.9 < 1.3
Answers
> means larger than
< means smaller than
A negative number which closer to 0 than an other negative number, is larger. Therefore - 3.4 is larger than - 4.2, and therefore - 3.4 > - 4.2
i need really need help please
Answers
or 5 19/20 miles, if you want a mixed number.
EMERGENCY PLEASE HELP REALLY HARD!
The first and fourth terms of a geometric sequence are shown.
−2,___ , ___, 128
What are the second and third terms of this geometric sequence?
Answers
tₙ = t₁ · (r)ⁿ⁻¹
t₁ = -2
t₄ = 128 (4th term)
formula for 4th term:
t₄ = -2 · (r)⁴⁻¹ = -2· (r)³
since t₄ = 128
128 = -2(r)³
(r)³ = -64
r = ∛-64
r = -4
so second term is
t₂ = -2· (-4)²⁻¹ = 8
third term is
t₃ = -2 · (-4)³⁻¹ = -32
mario earns money mowing his neighbors lawns the revenue for mowing x lawns is r(x)=25x marios cost for gas and the mower rental is c(x)=6x+15 his profit from mowing x lawns is p(x)=(r-c)(x) what is p(x)
Answers
r IS 25x
c IS 6x+15.
So we can do r - c
(25x) - (6x + 15)
Now I gave you part of the answer. Can you simplify?
Answer:
p(x) = 19+15
Step-by-step explanation:
Are these correct please help
Answers
A student solved this problem by working backward. Janice went shopping with her mom and at the end of the day she had $59.50 left over. She spent $13.65 on a T-shirt, $22.99 on some new sandals, and $40.75 on a new skirt. How much money did Janice have at the beginning? Student's solution - Janice had $59.50 left. Add up all the amounts she spent ($13.65 + $22.99 + $40.75) and add to the amount she has left over ($77.39 + $59.50). So Janice had $136.89 to begin with. Solve this problem. Dale was fixing his fence. At the end of the day, he had 12.5 feet of wood left over. During the day he had used one 3.5 foot long piece of wood, two 5.9 foot long pieces of wood, and one 10 foot long piece of wood. How many feet of wood did Dale have at the beginning of the day? feet
Answers
(Btw nice car love it)
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
Answers
The length of QR in rectangle PQRS is 12 cm, found by setting up the proportional relationship 14/21 = 8/QR, where 14 cm and 8 cm are the lengths of sides AB and BC of rectangle ABCD, respectively, and 21 cm is the length of side PQ of rectangle PQRS.
Since rectangle ABCD is similar to rectangle PQRS, their corresponding sides are proportional. To find the length of QR, we will set up a proportion using the given lengths:
AB/PQ = BC/QR
Substituting the given lengths:
14/21 = 8/QR
Now, solve for QR:
QR = (21 * 8) / 14
QR = 168 / 14
QR = 12 cm
So, the length of QR in rectangle PQRS is 12 cm.
Find the AREA of this triangle
Answers
________________________________________________________
Note:
________________________________________________________
The formula for the area, "A" of a triangle:
" A = (1/2) * b * h " ;
in which: "A = area" (for which we are to solve);
"b = base length" = 8 (given) ;
"h = perpendicular height = 5 (given) ;
A = (1/2) * b * h = (1/2) * 8 * 5 = 4 * 5 = 20 .
_________________________________________________________
Answer: The area of the triangle given is: " 20 units² " ;
or, write as: " 20 square units" .
_________________________________________________________
Edit: Another way to write the formula for the area, "A", of a triangle is:
" A = (b * h) / 2 " ;
and we can solve: " A = (b * h) / 2 = (8 * 5) / 2 = 40 / 2 = 20 .
_________________________________________________________
The answer is: " 20 square units " ; or, write as: " 20 units² " .
_________________________________________________________
help help help!!!ill return
Answers
Since you never asked, I'll assume you need it simplified xP
Distribute Parenthesis
(−15)(−10) -15(-5x)
Apply + and - rules
(-15) (-10) + (-15) (-5x)
Finish
150 + 75x
How did convenience store there is a 25% chance as customer enters the store within one minute of closing time describe the complementary and find this probability
Answers
The probability of not entering the store one minute before closing is 75%
Last one give me the best answer
Answers
471 = 3.14 x 5 x H
471 = 15.7 x h
h = 471 / 15.7 = 30 cm
314/ 15.7 = 20 cm
30-20 = 10 cm difference
the triangle in the diagram are similar. how long will the footbridge be
Answers
[tex] \frac{80}{24} = \frac{d}{30} [/tex]
24d = 2400
d = 100
The footbridge will be 100m long.
2x+3(x-4)=8
Solve the equation
Answers
5x = 20
x = 4
2x + 3x - 12 = 8
5x = 20
x = 4
16x-10y=10
-8x-6y=6
can someone help me understand this question?
Answers
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have
[tex]16x-10y=10[/tex]
and
[tex]2(-8x-6y=6)[/tex].
The last equation is rewritten as [tex]-16x-12y=12[/tex].
Now, we cancel the x-terms.
[tex]16x-10y=10[/tex]
[tex]-16x-12y=12[/tex]
[tex]-22y=22 \\ y = -1[/tex]
We have our value for y, so we just plug this back into any of the original equations to get x.
[tex]16x-10(-1)=10\\16x=0\\x=0[/tex]
Thus, the solution to the system of equations is the point [tex](0,-1)[/tex].
If c=3k+4 and d=7+9k^2, what is d in terms of c?
Answers
Answer:
d = (c -4)² +7 = c² -8c +23
Step-by-step explanation:
Both 'c' and 'd' are expressed in terms of the variable k. In general, that variable is eliminated by writing k in terms of 'c' or 'd', then substituting for k in the other equation.
Eliminating kWe recognize that the 9k² term in the expression for 'd' is the square of the 3k term in the expression for 'c'. That means we don't have to solve for k; we only need to solve for 3k. The equation for 'c' gives an easy way to do that.
c = 3k +4
c -4 = 3k . . . . . . . subtract 4 to get an expression for 3k
Substituting into the equation for 'd', we have ...
d =7 +9k²
d = 7 +(3k)² . . . . . writing 9k² in terms of 3k
d = 7 +(c -4)² . . . . substituting for 3k. This is d in terms of c.
This can be simplified to ...
d = c² -8c +23 . . . . another form of d in terms of c.
To express 'd' in terms of 'c', solve the first equation for 'k' and substitute this value into the second equation. This yields: d=7+((c-4)^2)/3.
Explanation:To express d in terms of c, we first need to make k the subject of c=3k+4. We do this by subtracting 4 from both sides, getting c-4=3k, and then dividing both sides by 3, which gives us k=(c-4)/3. Next, we substitute this value of k into the second equation: d=7+9k^2. Substituting, we get d=7+9*((c-4)/3)^2, which, when simplified, gives the result d=7+((c-4)^2)/3. This is the expression for d in terms of c.
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