Answer:
a
Step-by-step explanation:
The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?
Answer:
7 and 1 / 2
Step-by-step explanation:
xy = 9
( 1 / x ) = 4 ( 1 / y )
y = 4x
x ( 4x ) = 9
4x^2 = 9
x = 3 / 2
( 3 / 2 ) y = 9
y = 6
6 + ( 3 / 2 ) = 7 and 1 / 2
The two numbers are 3/2 and 6.
What are reciprocal numbers?The reciprocal of a number is this fraction flipped upside down.
Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.
Let the numbers be a and b.
ab = 9.......(i)
1/a = 4/b
a = 4b..........(ii)
Using (i) in (ii)
4b×b = 9
b² = 9/4
b = 3/2
a×3/2 = 9
a = 6
Hence, The two numbers are 3/2 and 6.
For more references on reciprocal numbers, click;
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Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.
Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?
Answer:
4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities to represent the given situation.
Step-by-step explanation:
Here, let the number of color copies = x
Now, the time taken to print each color copy = 4 minutes
⇒Time taken to print x color copies = x times ( Time taken by each copy)
= 4 (x) = 4x
and let the number gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
⇒Time taken to print y gray scale copy = y times (Time taken by each copy)
= 2 (y) = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies
= 4x + 2y
So, according to the question:
4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)
and x + y ≥ 8 (as minimum number of copies is 8)
hence, the above system is the required system of inequalities to represent the given situation.
I hope this helps.
PARALLEL PERPENDICULAR OR NEITHER
Answer:
Parallel
Step-by-step explanation:
Using these points, we can determine that the equation is as follows:
Line B: y = -2/3x + 7/3
And since Line A has the same slope, it would make Line A's equations like this:
Line A: y = -2/3x - 11/3
This makes these equations Parallel to each other because they have the same slope with different y-intercepts.
A rectangular pipe flowing full has the following cross-sectional dimensions Width: 6 m Height: 9 m Find the pipe's hydraulic radius in meters
is 2(x+8)-3(y-7) linear or non linear?
Si. es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l
(х + 5) + (х – 2)
3
7
оооо
2х + 3
2x +7
What’s the correct answer?
Answer:
the correct answer is 2x+3
Step-by-step explanation:
because your adding the (x) factors together then your adding a negitive to a positive so you would get a lower number
HELP PLSSSSSSSSSSSS
Answer:
just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph
Step-by-step explanation:
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles
does this help??
Step-by-step explanation:
A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
19.1 feet
Step-by-step explanation:
This forms a right triangle
use the pythagorean theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 20^2
a^2 + 36 = 400
a^2 = 364
a = 19.0787840283
Rounded
19.1 feet
Someone plz help me :(
Answer:
B
Step-by-step explanation:
I only help you because you have nezuko as profile picture
I need help with this and thought if any of you guys can help
Answer:
not enough info .
Step-by-step explanation:
sorry it needs more info
A car travels 60 miles per hour. What is the total distance the car will travel in 60 minutes?
Answer:
The car will drive 60 miles in 60 minutes (an hour)
Step-by-step explanation:
For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes
Evaluate [tex]\frac{15}{k}[/tex] when k =3
What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the values of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
Answer:
48
Step-by-step explanation:
When you write out the problem it should look like this
15+c⋅2⋅d-c⋅3
or in other form
15+3⋅2⋅7-3⋅3
You can solve using PEMDAS
Paratheses
Exponents
Multiplication
Division
Addition
Subtraction
Just use those in order and you should find to answer.
-Rocketgamer360
Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4
Answer:
The first set is a solution, the second is not.
Step-by-step explanation:
Testing by filling in the numbers into the equation:
(1, 1.5): x=1, y=1.5
⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]
⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]
⇒ 1.5 =? [tex]\frac{6}{4}[/tex]
⇒ 1.5 =? 1.5 ⇒ Correct: is indeed solution to the equation
(12, 4): x=12, y=4
⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]
⇒ 4 =? [tex]\frac{12}{4}[/tex] + [tex]\frac{5}{4}[/tex]
⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
Answer:
15 and 5 hours.
Step-by-step explanation:
Call x the time taken by the first chap, and y the second.
[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]
Let's divide by 5 and play with the LHS of the first equation a bit:
[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.
[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]
On August 19, 2002, the ratio of stocks gaining value on the New York Stock
Exchange to stocks losing value was about 43 to 20. If 869 stocks lost value, how
many gained?
A)892
B)1953
C)1797
D)1868
Answer:
D: 1868
Step-by-step explanation:
43:20 ratio
43/20 = 2.15
869 * 2.15 = 1,868.35
round down to nearest whole number
1,868
100 POINTS Suppose ܶTU is on a coordinate plane located at T(-6,-2) and U(2,-6) Under a dilation of scale factor 1/4, TU becomes T'U' with coordinates T'(-3/2,-1/2) and U'(1/2,-3/2) Where is the center of the dilation located ?
A(0,0)
B(2,2)
C(4,0)
D(4,4)
c because the center of dilation is the multiplicatory value of the original point
2×5, plz help, need is really bad
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
2×5=10
Hope this helps :)
Questlon 21 of 25
What are the vertex and x-intercepts of the graph of the function given below?
- 2x - 24
[tex] - 2 \times - 24 = - 2( \times + 12[/tex])
Ms. Miller decides gives a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and open-response questions are worth 5 points. How many of each type of question are there?
math need helps i will brainliest
Answer:
81/256
Step-by-step explanation:
The exponent 4 is meaning how many times you have to multiply a number it is on top of.
So you need to multiply 3/4, 4 times by itself
So
3/4* 3/4* 3/4* 3/4
3 times 3 times 3 times 3 is 81
4 times 4 times 4 times 4 is 256
So the answer is 81/256
Hope this helps!
7 is 75% of what number?
Answer:
9 1/3
Step-by-step explanation:
7 - 75%
x - 100%
[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]
Answer:
7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.
Step-by-step explanation:
7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.
please someone solve this please asap
Answer:
Step-by-step explanation:
12-b
13-c
14-a
15-d
16-b
17-c
18-d]
Step-by-step explanation:
wow,1st time u have asked important questionWhat is the slope of the line that passes through the points (9, 1) and (17, 2)
A: 8/15
B: 8/1
C: 1/8
D: 15/8
Answer:
C
Step-by-step explanation:
Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)
m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8
Is the following acute obtuse or a right triangle
Answer: Obtuse
Would appreciate brainly <3
Find the slope of the line given the following points on the line:
(-6, 4) and 2, 7)
Answer:
3/8
Step-by-step explanation:
Answer:
[tex]\boxed{\sf Slope:3/8}[/tex]
Step-by-step explanation:
To determine the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]
[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]
[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]
_______________
[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]
[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]
_________________________________________
What is linear algebra.
Answer:
Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.
Step-by-step explanation:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).
The picture shows $40.50 that two friends earned mowing a lawn.
They want to share the money equally.
Drag the money below to show how much each friend will get.
Answer:
Each friend gets $20.25
How do you solve 5x+17>5(2x+1) algebraically?
Answer:
x < 12/5
Step-by-step explanation:
First, distribute 5 among everything inside the parenthesis to get 5x + 17 > 10x + 5.
Next, subtract 5 on both sides to get
5x + 12 > 10x.
Afterwards, subtract the 5x on both sides to get 12 > 5x.
Finally, divide 5 on both sides to get 12/5 > x (You can always flip it around so that the x is on the other side btw.) Answer is written above⤴⤴⤴.
Hope this helps you :)