Given:
The LCM of two numbers is 14 times their HCF.
The sum of LCM and HCF is 600.
One number is 280.
To find:
The other number.
Solution:
Let HCF of two numbers be x.
The LCM of two numbers is 14 times their HCF.
LCM = 14x
The sum of LCM and HCF is 600.
[tex]14x+x=600[/tex]
[tex]15x=600[/tex]
[tex]x=\dfrac{600}{15}[/tex]
[tex]x=40[/tex]
So, HCF = 40 and the LCM is
[tex]LCM=14(40)[/tex]
[tex]LCM=560[/tex]
We know that, if a and b are two numbers, then
[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]
One number is 280.
[tex]280\times b=560\times 40[/tex]
[tex]b=\dfrac{560\times 40}{280}[/tex]
[tex]b=2\times 40[/tex]
[tex]b=80[/tex]
Therefore, the other number is 80.
The diagram shows a rectangle
Find the slope (rate of change) from the table. Simplify if necessary.
X
1
2
3
4
у
-3
-9
-21
-15
Answer:
i think it would be 2 because its in the middle of the slope and it would make scence
Step-by-step explanation:
1. 36.19 to the nearest tenths
Answer:
36.2
Step-by-step explanation:
Answer:
36.20
Step-by-step explanation:
it's basiclaly another word for 1 decimal place. 9 is bigger than 5 so it rounds 1 to 2.
What is the answer to: y=-2x-5,4x+3y=15 using substitution to solve it..??
Answer:
Step-by-step explanation:
Plug the first equation into the second
[tex]4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15[/tex]
y=-2(-15)-5
=30-5
=25
Expand 2/3(x+12)
Expand -4/5(-x+25)
Answer:
2/3 x X + 2/3 x 12
-4/5 x -X + -4/5 x 25
Patrick drank 3/4 liter of water Monday before jogging. He drank 4/5 liter of water after his jog. How much water did Patrick drink altogether? (Write fraction answers as a mixed number like this 2 1/2) He drank _____ liters. *
Answer: 1¹¹/₂₀ litres
Step-by-step explanation:
The fractions need to be added.
Find a common multiple for them.
Common multiple = 20
Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:
[tex]= \frac{15 + 16}{20} \\\\= \frac{31}{20} \\\\= 1\frac{11}{20}[/tex]
= 1¹¹/₂₀ litres
what is the length of line segment FH?
ABCD TSVU find the value of Y
Answer:
The value of y = 7.5 and the scale factor is 2/3.
Step-by-step explanation:
To get the scale factor, let's get the ratio of 17 to 25
[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]
To check if 17 really is the 2/3 of 25.5
[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]
Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).
[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]
7a + 4- 2a = 7a +- 2a + 4=
. 5a
. 0
. -5
. 5a+4
Step-by-step explanation:
0 would be your answer
first you combine like terms and get 5a+4 on each side then you have to solve the equation.
Match each of the equations with their corresponding graph
Answer:
equation a and graph E
equation b and graph a
equation c and graph b
equation d and graph D
Step-by-step explanation:
(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?
Answer:
Please refer to the attached image.
can u please help me with this
Answer:
d) centimeters
cat average height is 23-25 cm
if you would write it in meters it would be 0.23-0.25 m
in mm 230-250mm
Its just the most convinient
What is the slope of the line shown in the graph?
−1
−2
negative 1 over 2
2
Answer:
Slope = -2
Step-by-step explanation:
y2-y1/ x2-x1
Is the relation a function?? Plzz helppp!!!
(1,19) , (2,23) , (3,23) , (4,29) , (5,31)
Answer: no
Step-by-step explanation: if the y values are the same they are not functions. :) (ps, x values can be the same in a function!)
Answer:
no :)
Step-by-step explanation:
because (2,23) and (3,23) have the same y function
hope this helps!
Square root of -8 multiplied by the square root of -32
A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
PLS HELP!!!!!!Which of the following tables represents the relationship between the circumference and diameter of a
circle?
Answer:
itanong mo kay kapatid na arlene
It is D. If you multiply D by 3.14 and it matches the C, it is the right one. So it is D
plzz help ASAPPPP
i need answers right now!!1
Answer:
ydyeheuuru u ieuegeoeororpe
Evaluate 4^0×x^-5 when x=2 .
Answer:
1/32
Step-by-step explanation:
Anything to the power of 0 is 1.
1*x^-5 (negative power means the reciprocal)
1/2^5 = 1/32
1*1/32=1/32
When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.
First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.
Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.
Substituting x = 2, we have 1 / 2⁵.
Now, we can simplify the expression:
1 / 2⁵ = 1 / 32 = 0.03125
Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
To learn more about the exponents;
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What is the slope of the function?
Answer:
-4
Step-by-step explanation:
as x goes up one y goes down 4
slope is change in y over change in x
-4/1=-4
The slope of the linear function represented by the table is -6.
To find the slope of the linear function represented by the table, we can use the formula for slope:
Slope (m) = (change in y) / (change in x)
Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):
(change in y) = -16 - 2 = -18
(change in x) = 2 - (-1) = 3
Slope (m) = (-18) / (3) = -6
Therefore, the slope of the linear function represented by the table is -6.
To know more about linear function:
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Yanis worked at a local restaurant over break to save up for a
trip to the Dominican Republic which would cost $460. If she made $15 per hour
and she already had $100 saved, how many hours does she need to work to
make enough for her trip to DR?
Answer:
24 hours
Step-by-step explanation:
first subtract 100 from 460 to get 360, then divide 360 by 15 which equals 24.
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?
Answer:
if you use Newton's 2nd rule:
F = m* a (force = mass * acceleration)
you can rearrange the terms to:
a = F/m (acceleration = Force/mass)
which will let you solve for acceleration.
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
To know more about mid point formula, visit,
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The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A: -5
B: 5
C: -1/5
D: 1/5
Answer:
5
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
since the slope of the green line is 5, the the red line will have the same slope as the green line,
The slope of the red line will therefore be 5
can someone please help me with this equation!
Answer:
$19
Step-by-step explanation:
this is the answer
Lateral surface area of this gift box
PLEASE HELP ME I BEG OF YOU
= d+5+d+5+d+5+d+5
= 4d+20
=4(d+5)
I hope this helps ♥☺️x + 7 = 12
i'm lost pls help me
Answer:
5
Step-by-step explanation:
12 - 7 = 5
x= 5
.....................................