Answers
Answer:
(a).
[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]
(b).
[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]
(c).
[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]
(d).
[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]
(d).
Step-by-step explanation:
a)2/5a=4/a-1
By cross multiplication:
5a×4=2(a-1)
20a=2a-2
20a-2a=-2
18a=-2
a=-2/18
a=-1/9
b)7/2d-5=9/3d+4
By cross multiplication:
7(3d+4)=9(2d-5)
21d+28=18d-45
21d-18d=-45-28
3d=-73
d=-73/3
c)3/e+1 + 1/2e+1=0
3/e+1=-1/2e+1
By cross multiplication
3(2e+1)=-1(e+1)
6e+3=-e-1
6e+e=-1-3
7e=-4
e=-4/7
d)5/2f-5-4/7f+1=0
By cross multiplication
5/2f-5=4/7f+1
5(7f+1)=4(2f-5)
35f+5=8f-20
35f-8f=-20-5
27f=-25
f=-25/27
Related Questions
I don’t get this how do these things work please explain
Answers
Answer:
Ok, so:
-The number of people who like tea are represented in the first column.
-The number of people who dislike tea are represented in the second column.
-The number of people who like coffee are represented in the first row.
-The number of people who dislike coffee are represented in the second row.
This works like a multiplication chart:
People who like tea and coffee are represented in the top left square. People who dislike tea and coffee are represented in the box that coordinates to T' and C' (If you find T' and C' and run your fingers along the column/row until they run into each other, you'll find it.) The same is true for other combinations.
At the bottom of the first column is the total number of people who like tea. At the right-most part of the first row, is the total number of people who like coffee.
(52 people like tea, 80 people were surveyed)
I hope this helps you understand, please ask any clarifying questions you need! : )
Which linear inequality is represented by the graph?
Oys-x-1
O yzx-1
O y<3x-1
Oy> 3x - 1
Answers
Answer:
The fourth answer choice is correct.
y>3x-1
The linear inequality that is represented here is y> 3x - 1. The last option is correct.
What is a linear inequality?These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.
We can see that the line cuts through 3 at the X axis and -1 at the y axis.
Read more on linear inequalities here:
https://brainly.com/question/17152894?referrer=searchResults
A popular amusement park has had199,792,458 visitors since it opened. Which
number, written in scientific notation, is the
best approximation of the number of visitors?
a) 0.2 x 107 visitors
b) 0.2 x 108 visitors
c) 2.0 x 107 visitors
d) 2.0 x 108 visitors
Answers
Answer:
d) 2.0 * 10⁸
Step-by-step explanation:
199,792,458 ≈ 200,000,000 = 2.0* 10⁸
All of the following are rational numbers except____.
Answers
Answer:
3.14159
Explanation:
pi is irrational
Hope this helps!! <3
giải phương trình :
-4x-8x>0
Answers
Answer:
[tex]x < 0[/tex]
Step-by-step explanation:
[tex] - 4x - 8x > 0[/tex]
➡️ [tex] - 12x > 0[/tex]
➡️ [tex]x < 0[/tex]
I NEED HELP ASAP!!! #32!!
Answers
Answer:
If it's parallel, then it has the same slope.
Find the slope from the two coordinates and compare the slope to see which ones are right.
You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.
Your answer is B.
please help me out if you can
Answers
Answer:
180° is the measures of the supplement Step-by-step explanation:please click on starAnswer:
x=60°(Suppliment)
Put the above value =60°
second angle=120°
SEE the IMAGE FOR SOLUTION
Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer
Answers
a. -15
b. -3
karen had 25.30 saved in her piggy bank. she found 3 dimes on her way to school. if she puts them in her piggy bank when she gets home, how much will she have saved?
Answers
All you do is just add the 3 dimes to the $25.30
can someone help me with this question
Answers
Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
answer explerts help pleaseee show steps also
Answers
If not understood, please let me know
The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.
Answers
Answer:
400cm²
Step-by-step explanation:
the surface area of the sphere =
4/3 x The total surface area of a hemisphere
=> 4/3 x 300 = 400cm²
the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way
Answers
Answer:
Step-by-step explanation:
Take out a common factor (x)
x ( 1 - 0.10 )
Now do the subtraction
0.90x
2x+1
4x +5
The perimeter of the triangle shown is 9x + 10. Which of the following is the measure of the third side
A) 3x+4
B) 15x+15
C) 15x+5
D) 3x+16
Answers
Step-by-step explanation:
Option a is the correct answer
(2x+1)+(4x+5)+(3x+4)
2x+1+4x+5+3x+4
9x+10
-9+__ =-3 find the missing value
Answers
Answer:
6
Step-by-step explanation:
-9+6=-3
Geno started to evaluate 90 – (18+-2)(-3), as shown. What should he do next?
Answers
1. 18+(-2)= 16
2. 16(-3)= -48
3. 90- (-48)= 138
Which number below comes first when the numbers are listed from least to greatest? Explain. 22 16 -3, 817, - 4.5 7 5 ... Which number comes first when the numbers are listed from least to greatest?
A. - 4.5 because it is the negative number with the greatest absolute value.
В. 16 because it is the greatest positive number. 5
C. V17 because it is the greatest positive number.
D. -3 because it is the negative number with the greatest absolute value. 22 hen click Check Answer
Answers
Answer: Choice A.
- 4.5 because it is the negative number with the greatest absolute value.
===================================================
Explanation:
Stuff to the left is smaller than stuff on the right for any number line.
For example, we can say 2 < 5 since 2 is to the left of 5.
Another example: -7 < 4
To find the smallest item of your given list, we need to look at the value that is furthest to the left. That value would be -4.5 and this value is negative with the largest absolute value (i.e. it is furthest away from 0).
Check out the number line diagram below. It shows where all of the values are placed. We can see that -4.5 is the left-most item.
The sum of a number and it's absolute value is negative.
Answers
Answer:
False; the scenario is not possible.
Step-by-step explanation:
This scenario is not possible. I will demonstrate it by representing a number by [tex]x[/tex]. There are two possibilities: [tex]x[/tex] and [tex]-x[/tex]. Let's try both:
[tex]x + |x|[/tex]
[tex]x + x[/tex]
[tex]2x[/tex]
The sum for positive [tex]x[/tex] and its absolute value is not negative. Let's try with the negative value of [tex]x[/tex] now:
[tex]-x +|-x|[/tex]
[tex]-x + x[/tex]
[tex]0[/tex]
The sum for negative [tex]x[/tex] and its absolute value is not negative either, it is zero which is neither negative or positive. Therefor, we can safely say that the scenario described is not possible.
Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...
Answers
Answer:
14th term is 16,384
Step-by-step explanation:
I. When [tex]a_{n} = a_{1}(r^{n-1} )[/tex]
If n = 14, a = 2 and r = 2
[tex]a_{14} = 2(2^{14-1} )[/tex]
= 2([tex]2^{13}[/tex])
[tex]a_{14}[/tex] = 16,384
A motorcycle can travel 48 miles for every gallon of gas used
Use the unit rate to complete the table for the miles traveled by motorcycle
Answers
Answer:
A-96
B-144
C-192
:) have a nice rest of your day!
Step-by-step explanation:
What is the expanded form of the number 34.576?
3 x 10 + 4 x 1 + 5 x 0.1 + 7 x 0.01 + 6 x 0.001
3 x 10 + 5 x 1 + 4 x 0.1 + 6 x 0.01 + 7 x 0.001
4 x 10 + 3 x 1 + 7 x 0.1 + 5 x 0.01 + 6 x 0.001
5 x 10 + 4 x 1 + 3 x 0.1 + 7 x 0.01 + 6 x 0.001
Answers
Answer:
its the first one I think
Five times the sum of a number and 7 is 8
Answers
Answer:
5(n+7) = 8
Step-by-step explanation:
this is the equation you are look for if its the value of n it would be -27/5
Answer:
Step-by-step explanation:
5(x + 7) = 8
x + 7 = 8/5
x = 8/5 - 7 = -27/5 = -5.4
hey please help i’ll give brain
Answers
Answer:
First, the dropdown is 9. Second, put in 9. The answer is 81.
Step-by-step explanation:
10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.
Answer:
[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]
Simplify: 2(a-4)+15=13
Answers
Answer:
a = 3
Step-by-step explanation:
2(a−4)+15=132
a−8+15=132
a=13−15+82
a=6
a=6/2
a=3
The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3),
what are the coordinates of B?
Answers
Answer:
23 just took the test
Step-by-step explanation:
Answer:
B(5,-1)
Step-by-step explanation:
The formula for finding the midpoint of any line is: [ (x1+x2) / 2 ] , [ (y1+y2) / 2 ] .So, x1=1 and x2=x. And y1=-3 and y2=y.
So,
(1+x)/2=3, then manipulating it gives x=5.
And,
(-3+y)/2=-2, then manipulating the equation gives y=-1.
Hence B(5,-1)
4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
Answers
Determine the slope of a line that has points (2, 1) and (3, -10)
Answers
Step-by-step explanation:
Slope of a line = y2-y1 /x2-x1
Points=(2,1),(3,-10)
-10-1/3-2
-11/1
Therefore, the gradient of the line is -11/1
Can someone help with this !!
Answers
Answer:
[tex]{ \sf{ {(2x - 3)}^{4} }} \\ = { \sf{ {(2x - 3)}^{2} . {(2x - 3)}^{2} }} \\ = { \sf{(4 {x}^{2} - 12x + 9)(4 {x}^{2} - 12x + 9) }} \\ = { \sf{ {16x}^{4} - 48 {x}^{3} + 36 {x}^{2} - 48 {x}^{3} + 144 {x}^{2} - 108x + 48 {x}^{2} - 108x + 81 }} \\ { \sf{ = {16x}^{4} - 96 {x}^{3} + 228 {x}^{2} - 216x + 81 }}[/tex]
HELP DETERMINE THE RANGE OF THE FOLLOWING GRAPH … I WILL MARK BRAINLIEST
Answers
the range is about how low to how high the graph gets. The range is about the y-values used in the graph.
Your graph bottoms out at -6 and tops out at 4, but never gets to 4, because of that open circle.
So the range is -6 ≤ y < 4. Note that we use y for the range.
Interval: [-6,4)
Set-builder: { y | -6 ≤ y ≤ 4 }
Again, be sure to use y in the set-builder.
Please help with geometry
Answers
Answer:
x
Step-by-step explanation:
-37
Explanation:
