Answer:
x=-5/4
Step-by-step explanation:
Let the number be x and y
x.y=2/5 (The product of two rational numbers is 2/5)
if one of the number is -8/25
x.(-8/25)=2/5
(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x
x=(2/5) *(-25/8)
x=-5/4
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Product of two rational numbers = [tex]\frac{2}{5} [/tex]
One of the number = [tex]\frac{-8}{25} [/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The other number is [tex]\frac{ - 5}{4} [/tex].
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let the other number be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]
[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]
[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]
[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]
[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]
Determine the solution, if any, to the system of equations below. 8. 2y = 1 - 4x + y = 3 Show your work or explain how you got your answer.
Answer:
y=1/2 , x= -5/8
Step-by-step explanation:
⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]
What is the distance between the points (8, 12) and (1,3)? If necessary, round
your answer to two decimal places.
Answer:
13.03 units
using distance formula which is
root under
(X\/2-X\/1)^2 + (y\/2-y\/1)^2
Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is
Answer:
It is 2 million
Answer:
Million
Step-by-step explanation:
Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?
Answer: Martina's margin of error is 1.5.
Step-by-step explanation:
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]
Substitute the values into above formula as follows.
[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]
Thus, we can conclude that Martina's margin of error is 1.5.
Lin scored 18 marks in a test and Jon scored 12 marks.
Calculate Lin's mark as a percentage of Jon's mark
Answer:
=60
Step-by-step explanation:
18 + 12
=30
18/30 × 100%
=60
Find the area of the circle if the square has an area of 900in^2. Give your answer in terms of 3.14 or pi
Answer:
450in^2
Step-by-step explanation:
square root of 900 is 30.
Each side of square is 30.
Each side of a triangle formed by drawing a radi in the square is 15 in.
The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.
A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2
A real estate agent earns about a 6% commission on each house sold. How
much commission would an agent earn on a house that sold for $125,000?
Answer:
132'500
Step-by-step explanation:
It is like doing tax, you just needed to multiply your number by 0.6
Answer:
$ 7,500
Step-by-step explanation:
commission=6%
House price= $125,000
Commission=6/100 ×125,000
Commission= $ 7,500
What is the approximate circumference of a circle that has a diameter of 15 inches? A) 14 ft
B) 21.98 ft
C) 28 ft
D) 7 ft
Answer:
47 ft
Step-by-step explanation:
3.14 x 15
Problem 1 Using the pattern in the image below , how many dots would be in Step 4
Answer:
9 dots
Step-by-step explanation:
each step adds 2 dots every time
PLSSS ASAP 20 POINTS AND BRAINLIEST IF RIGHT!!!!!!
The graph of g is a translation 3 units down of the graph of f(x) = x2 + 1. What is the range of g?
A. all real numbers
B. g(x) ≥ −3
C. g(x) ≥ −2
D. g(x) ≥ −1
Answer:
All real number
Step-by-step explanation:
Is this ok
Answer:
C
Step-by-step explanation:
To translate something 3 units down subtract it by 3
which means our equation is
x²-2
From here it's pretty easy to see that the answer must be C
Find the sine ,cosine and tangent ratios of
Step-by-step explanation:
Given that,
Hypotenuse, H = 13
Base, b = 12
Perpendicular, P = 5
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]
[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]
and
[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]
Hence, this is the required solution.
the difference between two number is 5. when the larger number is multiplied by 2, the sum of both the numbers is 7. Hence, represent graphically the simultaneous linear equations in two variables and state the type of solutions.
Step-by-step explanation:
let the larger number = a,
and the smaller one = b.
a - b = 5 ==> a = b+5
2a + b = 7
2(b+5) +b=7
2b+10+b=7
3b= 7-10
3b = -3
b = -1
a = -1+5 = 4
What is the value of this expression when g=-3.5?
8-12g-5
Answer:
45
Step-by-step explanation:
8-12(-3.5)-5
8+42-5
=45
Find the midpoint of the segment
(-3,-1)
(-2,0)
(-2,-1)
(-3,0)
Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Given:
The system of equations is:
Line A: [tex]y=x-4[/tex]
Line B: [tex]y=3x+4[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
[tex]y=3x+4[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]x-4=3x+4[/tex]
[tex]-4-4=3x-x[/tex]
[tex]-8=2x[/tex]
Divide both sides by 2.
[tex]-4=x[/tex]
Substituting [tex]x=-4[/tex] in (i), we get
[tex]y=-4-4[/tex]
[tex]y=-8[/tex]
The solution of system of equations is (-4,-8).
Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.
[tex]-8=-4-4[/tex]
[tex]-8=-8[/tex]
This statement is true.
Similarly,
[tex]-8=3(-4)+4[/tex]
[tex]-8=-12+4[/tex]
[tex]-8=-8[/tex]
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
5 - 2x^2 = -15 solve the question using inverse operations
Answer:
x= √10 and x= -√10
Step-by-step explanation:
first look to isolate the term with the variable on one side
-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)
-2x² = -20; divide both sides by -2 (inverse of multiplication)
x² = 10; square root both sides (the inverse of raising to power of 2)
√x² =√10
x =±√10
Please help, I need it due today and urgently! Please give a small explanation and an answer
Answer:
0=0 1=1 6<8
Since 6 < 8 0.16 < 0.18
so, the hummingbird weighs more than a nickel
Step-by-step explanation:
6 is less than 8 so therefore .16 is less than .18. The nickel weighs .18 and .16 is less than that.
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side LM. Round your answer to the nearest tenth if necessary.
Answer:
LM = 24.3
Step-by-step explanation:
In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.
Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as
LK / HG = LM / IH
34/7 = LM / 5
Multiply both sides by 5
34*5/7 = LM
LM ≈ 24.2857
Rounding to the nearest tenth, LM = 24.3
Answer:
24.3
Step-by-step explanation:
Solve for c.
3c - 15 = -45
Answer:
c = -10
Step-by-step explanation:
For this we can use basic algebra. Add 15 on both sides. This gives us 3c = -30. Divide by 3 on both sides. The final answer is c = -10.
The value of c is -10 in the equation 3c - 15 = -45.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3c-15=-45
Three times of c minus fifteen equal to minus forty five.
In the given equation minus is the operator and c is the variable.
We need to solve for variable c
3c-15=-45
Add 15 on both sides
3c-15+15=-45+15
3c=-30
Divide both sides by 3
c=-10
Hence, the value of c is -10 in the equation 3c - 15 = -45.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
please help due tmr!!!
Answer:
y 4 4x + 2
y< 6 x+3
Step-by-step explanation:
How many wax warmers will she make when she makes 77 candles
A.75
B.55
C.40
D.69
A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. 1. What transformations were applied to the building at site A to relocate the building to site B? 2. Did the mayor change the size or orientation of the library?
Answer:
you have to connect an image or provide further information
Step-by-step explanation:
find the volume of the rectangle
Answer:
3/16
Step-by-step explanation:
simply multiply all 3 numbers
select the expression that is equivalent to (x-7)
Please help me the picture is above I’ll mark as brainliest. I really need the answer
help me please as soon as possible. I will mark you as the brainliest
1) 36
2) 143
3) 18
4) 12
5) 15
6) 108
7) 58
The key here is to perform direct substitution in each problem.
I'll do a quick working down here
1) 9(8-4)= 9*4 =36
2) 4(5*4)+7*9= 80+63 =143
3) 114-(3*8*4)= 114-96=18
4) 24/(1*2) = 24/2 = 12
5) 19 - (28/7) = 19- 4 = 15
6) 3 (6)^2 = 3*6*6= 108
7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58
The length of the sides of a triangle are y, y + and 7 centimeters. If the triangles perimeter is 56 centimeters, what is the value of y?
A) 24
B) 25
C)31
D) 32
Siti bakes 55 vanilla cakes and 39 strawberry cakes. A box can hold 6 cakes. What is the smallest number of boxes needed to hold all the cakes?
Answer:
16
Step-by-step explanation:
total number of cakes baked=55+39=94 cakes
1 box can hold 6 cakes
let the number of box need to hold 94 cakes be x
:- 1 = 6 cakes
x = 94 cakes
cross multiply to get :
6x=94
divide both side by the coefficient of x i.e 6
6x/6=94/6
x= 15.7
because it a real object, the minimum nuber of boxes is 16
Please help meeee
Similar Figures Activity - Dilations Not at the Origin
Step-by-step explanation:
∆ABC =>by reflection over x-axis and then dilation with scale factor 2, the point of center (5, -1) ==> ∆ XYZ
HELP PLEASE ITS DUE TODAY!
I'll give brainliest.
Answer:
930=9 hundreds 3 tens
93times10
80=8 tens
320= 3 hundreds 2 tens
8000=8 thousands