Answer:x=70
Step-by-step explanation:
STEP
1
:
40
Simplify ——
x
Equation at the end of step
1
:
4 40
— - —— = 0
7 x
STEP
2
:
4
Simplify —
7
Equation at the end of step
2
:
4 40
— - —— = 0
7 x
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 7
The right denominator is : x
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 1 0 1
Product of all
Prime Factors 7 1 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
x 0 1 1
Least Common Multiple:
7x
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = x
Right_M = L.C.M / R_Deno = 7
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 4 • x
—————————————————— = —————
L.C.M 7x
R. Mult. • R. Num. 40 • 7
—————————————————— = ——————
L.C.M 7x
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 • x - (40 • 7) 4x - 280
———————————————— = ————————
7x 7x
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
4x - 280 = 4 • (x - 70)
Equation at the end of step
4
:
4 • (x - 70)
———————————— = 0
7x
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
4•(x-70)
———————— • 7x = 0 • 7x
7x
Now, on the left hand side, the 7x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
4 • (x-70) = 0
Equations which are never true:
5.2 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.3 Solve : x-70 = 0
Add 70 to both sides of the equation :
x = 70
One solution was found :
x = 70
HELP PLEASEEEEEEEEEWEEEEEEEE
Answer:
x = 27° , <EAF = 27°
Step-by-step explanation:
63° + x° = 90°
x = 27°
63° + <EAF = 90°
<EAF = 27°
What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.
1.Find the perimeter of the polygon with the given vertices
D(-3, 2), E(4,2), F(4, -3)
Answer:
perimeter = 12 + √74
area = 17.5
Step-by-step explanation:
See the drawing below.
This is a right triangle.
The legs have lengths 5 and 7.
We can find the length of the hypotenuse using the Pythagorean Theorem.
5² + 7² = e²
e² = 74
e = √74
perimeter = 5 + 7 + √74
perimeter = 12 + √74
area = bh/2
area = 5 × 7/2
area = 17.5
Select the correct answer.
A company designs a new water pitcher. They take a picture of the pitcher for their promotional materials. What is the approximate area filled
by the water in the picture on the flyers?
5 in
4 in
3 in
12 in
8 in
О А.
about 48 in?
B. about 66 in?
Oc about 32 in?
OD. about 80 in?
Applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
What is the Area of a Trapezium?Area of trapezium = 1/2(a + b)h.
The following are dimensions of the area of the trapezium filled with water:
Level of water (a) = median of the bigger trapezium = (3 + 8)/2 = 5.5 = 6 in.b = 8 in.Height ≈ 12/2 = 6 in.Area = 1/2(6 + 8) × 6 = 42 in.²
Therefore, applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
Learn more about area of trapezium on:
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Which expression is equivalent?
Answer:
The Third one.
Step-by-step explanation:
So, Turn the mixed number, 2 1/4, to an improper fraction, 9/4. Then match the answer!
If you need anything else, just message me!
Have a nice day! :)
A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?
Answer:
They are all even
Step-by-step explanation:
I don’t get 2 and 3 I really need help
Answer:
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral sum to 180 so
m < x = 180-105 = 75 degrees
m < y = 180 - 95 = 85 degrees.
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
Answer:
center(-2,5) r=6
The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π
Answer:
20.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
9 pi = 2 * pi *r
Divide each side by 2pi
9pi / 2 pi = 2 pi r / 2 pi
4.5 = r
Now we can find area
A = pi r^2
= pi ( 4.5)^2
20.25 pi
PLEASE HELP PLEASE HELPP
Answer:
B
Step-by-step explanation:
Coordinates are (x,y) so just look at the table on how the x-value compares.
Answer:
answer is B
pls give me branlist
A swimming pool is in the shape of a cylinder 7 feet deep and 9 feet in radius. Find the exact volume of the pool.
Answer:
16
Step-by-step explanation:
Hope this helps
X - 8 = 1 what does X equal to?
Answer:
9
Step-by-step explanation:
To answer this we add 8 to both sides:
x-8+8 = 1+8
x = 9
This is our answer
Given:-
X - 8 = 1To find :-
The value of xSolution :-
X - 8 = 1
Transferring 8 to Right sideX = 1 + 8 ( signs change when transferred to opposite side )
X = 9
Oscar enjoys many different sports. Today, Oscar jogged for 6 minutes, rode his bike for 23 minutes, and played tennis for 49 minutes.
How much time did Oscar spend playing sports today?
Answer: 78
Step-by-step explanation:
just add the time all together then this will be your answer.
A solid has volume 7 cubic units. The equation k =
represents the scale factor of k by which
the solid must be dilated to obtain an image with volume V cubic units. Select all points which are
on the graph representing this equation.
a. (0,0)
e. (14,2)
b. (1,1)
f. (49,2)
C. (1,7)
(
g. (56,2)
(71)
h (27,3)
The volume of the solid is the amount of space in it.
The points on the graph are (0,0) and (1,7)
How to determine the points?The volume is given as:
V1 = 7
The scale factor is given as:
k
Let the new volume be V.
So, we have:
V = V1 * k^3
Substitute 7 for V1
V = 7k^3
Divide both sides by 7
k^3 = V/7
Take the cube root of both sides
k = (V/7)^1/3
Next, we test the options
a. (0,0)
k = (0/7)^1/3
k = 0 --- this is true
b. (1,1)
k = (1/7)^1/3
k = 0.05 --- this is false
c. (1,7)
k = (7/7)^1/3
k = 1 --- this is true
d (7, 1)
k = (1/7)^1/3
k = 0.05 --- this is false
e. (14,2)
k = (2/7)^1/3
k = 0.10 --- this is false
f. (49,2)
k = (2/7)^1/3
k = 0.10 --- this is false
g. (56,2)
k = (2/7)^1/3
k = 0.10 --- this is false
h (27,3)
k = (3/7)^1/3
k = 0.14 --- this is false
Hence, the points on the graph are (0,0) and (1,7)
Read more about volumes at:
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HELP ASAP FIRST GET BRAINIEST
!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
just imagine that they are folding and what they would fold into.
this kind of question is a memory test.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
4 + (x + y) = (4 + x) + y =
what are the properties?
Answer:
Distributive
Step-by-step explanation:
Let g: R+R+ be defined by g(x) = x2 +1. Determine the domain, co-domain and range of g.
Domain:-
For any real x function is not undefined .
Domain belongs to RCodomain belongs to R+
Range:-
x² always ≥0Hence
range=[1,oo)This graph shows a proportional relational between the distance traveled by Tim on a road trip and the number
of hours for which he traveled.
Distance Traveled by Tim
250
200
150
Distance (mi)
100
50
0
10
6 8
Number of Hours
Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
50
A The slope of the line is
1
so the distance traveled by Tim is miles every hour.
50
B The slope of the line is so the distance traveled by Tim is miles every hours.
1
1
The slope of the line is
50
so the distance traveled by Tim is miles every hour.
Using the proportional relationship, it is found that the correct statement regarding the slope of the relation is:
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality, which is also called the slope.
Researching the problem on the internet, it is found that in 2 hours, Tim traveled 50 miles, hence:
k = 50/2 = 25.
The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.
More can be learned about proportional relationships at https://brainly.com/question/10424180
can someone help me solve this?
Answer:
[tex]\dfrac{7\pi}{18}[/tex]
Step by step explanation:
[tex]70^{\circ}=\dfrac{70\pi}{180}~~\text{radians}=\dfrac{7\pi}{18}~~\text{radians}[/tex]
I need help please I am good at read not math so please help I don't get it ):
Answer: 782
Step-by-step explanation
It says it made a w
Answer:
Part A: Andy is incorrect
Part B: 3/20
Step-by-step explanation:
Part A: Since Andy:
Actions dvds = 3/5
Comedy dvds = 1/4
or = Add
3/5 + 1/4
12 + 5 /20 = 17/20
Thus, it doesn't equal to 4/9.
Part B: He needed to make 3/5 = 12/20 and 1/4 = 5/20. Adding these together would be 17/20, making 3/20 of them NOT action or comedy. 17/20 + 3/20 = 20/20 or the total.
Therefore, 3/20 of them Not action or comedy.
~lenvy~
Read the sentence.
When my cousin Jason suddenly showed up out of the blue, it was an unexpected surprise because we had no idea that he was coming to the special event that our family had planned ahead of time.
Which revision most effectively shortens the sentence to make it less repetitive and more precise?
Drag the revision into the box.
The first sentence is correct.
Answer: We were surprised when my cousin jason attended our family reunion.
Step-by-step explanation: I took the k12 quiz and got it right.
Write a proportion for the statement.
$118 per week is proportional to $472 per 4 weeks. The proportion is _____?
A proportion is a mathematical comparison between two ratios.
A ratio is a comparison between two numbers.
For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}[/tex]This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:
[tex]\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]To write a proportion from this information, we can compare the ratios by makign them equal to each other:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}=\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex][tex]\dfrac{1}{2}=\dfrac{2}{4}[/tex]Solving the QuestionWe're given:
$118 per week$472 per 4 weeksThese are proportional$118 per week is one ratio:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}[/tex]$472 per 4 weeks is another ratio:
[tex]\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}[/tex]Now, set them equal to each other to create a proportion:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}=\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}\\\\\dfrac{118}{1}=\dfrac{472}{4}[/tex]Answer:Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].
In a Right Triangle, if the measurement for the base (B) equals a negative 6 and the hypotenuse equals (C) equals 12, then what is the value of the side (A)?
can someone solve this
Answer:
check the image for solution
Step-by-step explanation:
how i do this? help pls
Please help! First answer correct BRAINLIEST
Answer:
8 in
Step-by-step explanation:
Area=(1/2)*(p1+p2)*d
ARGENTTTT!!!!
Which statement describes the difference in the distance
travelled by the two cars when 15 gallons of gasoline is used?
Both cars will have travelled the same distance.
Answer:
D. A travels 90 miles more
Step-by-step explanation:
The graph tells you Car A travels 140 miles on 5 gallons of gas. (There is a point marked there on the graph.)
The table tells you Car B travels 99 miles on 4.5 gallons of gas. When that is multiplied by 5/4.5 = 10/9 to get the equivalent for 5 gallons, we see that Car B could travel 10/9 × 99 = 110 miles on 5 gallons of gas.
__
Already on 5 gallons of gas, Car A has traveled 30 miles farther. The only sensible answer choice is ...
D. Car A travelled 90 miles more than Car B [when 15 gallons are used].
Susan gave 1/6 of a pizza to her brother. She gave 1/3 of what was left to
her mother. Susan ate the rest herself. What fraction of the pizza did Susan
eat?
°1/2
°1/9
°1/18
°5/9
Answer:1/2
Step-by-step explanation: after giving some to her brother she has 5/6 left to take 1/3 from that you need to make it have a common denominator. to do that multiply it by 2 so you get 2/6. then do 5/6-2/6=3/6. 3/6 simplied is 1/2.
What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
3
Step-by-step explanation:
The mode is 3 because it is the most commonly repeating number in the data set.
The mode of the data represented in this line plot is 3
How to determine the mode?From the line plot, we have the following frequency table
Data Frequency
1 2
2 3
3 4
4 3
In the above frequency table, the entry 3 has the highest frequency of 4
Hence. the mode of the data is 3
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What is the volume of the prism?
Answer:
[tex]the \: volume \: of \: a \: rectangular \: prism \: is \\ l \times w \times h \\ in \: this \: graph \: \\ l = 2 \frac{1}{4} \\ w = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: h = 4 \\ 2 \frac{1}{4} \times 2 \times 4 \\ 4 \frac{1}{2} \times 4 = 18 \\ the \: volume \: is \: 18 {in}^{3} [/tex]