Answer:
x = 12
Step-by-step explanation:
Given that,
GCF of HCF of two numbers = 3
LCM of numbers = 180
First number = 45
Let another number be x.
So,
HCF×LCM = first number × second number
[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]
So, the other number is 12.
Simplify the expression [tex]5^{3}[/tex] × [tex]5^{-5}[/tex]
A. 1/5
B. 1/5^2
C. -5^2
D. 5^2
c) El 9 % de 700 =
d) El 15 % de 6 000 =
Find the slope of the line
y=-6/5x + 4/9
Answer:
-6/5
Step-by-step explanation:
slope =coefficient of x
1
What is the slope of this non-vertical line? Use your transparency if needed.
3
There’s no further instructions on this please help
Please help
Answer:
Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!
Help please ill give 20 points
Answer:
15
Step-by-step explanation:
Answer:
4r^12 t^2
Step-by-step explanation:
Use the exponants : ( 8r^6t^3 )/4t^2
simplifie :( 2r^6t^3 )/t^2
Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2
Mark works at a rock concert selling programs. He is paid $15 for
the night plus 20¢ for each program that he sells. He sells 150
programs. How much does he earn working at the rock concert?
Answer:
$45
Step-by-step explanation:
15 + (150 * 0.20)
15 + 30
$45
Tasha went golfing. Tasha hit the ball 220 yards down the fairway and then 165 yards to the hole. What would have been the shortest distance had she just hit the ball from the tee area to the hole?
Answer:
385 yards
Step-by-step explanation:
From the information provided we can only assume that the two hits that Tasha performed were in a straight line and in the same direction. Otherwise we would need to know the direction and/or angle of the shots. Assuming they were straight, the shortest minimum distance between the tee area and the hole would be calculated by adding the distance of the two shots.
220 yards + 165 yards = 385 yards
What is the measure of angle ABD in trapezoid ABCD?
24°
40°
64°
92°
HELP ME PLEASE!!!!ITS DUE TODAY!!
Answer:
234
Step-by-step explanation:
1950 x 0.88 = 1716 paid
1950-1716 = 234
Help Please! I'll give branliest!
Two airplanes leave the airport. Plane A departs at a 42° angle from the runway, and plane B departs at a 44° angle from the runway. Which plane was farther away from the airport when it was 7 miles from the ground? Round the solutions to the nearest hundredth.
Plane A because it was 9.428 miles away
Plane A because it was 10.46 miles away
Plane B because it was 10.08 miles away
Plane B because it was 9.73 miles away
Answer: plane a because it was 10.46 miles away
Step-by-step explanation:
Look at this set of ordered pairs:
(15,4)
(2, 1)
(20, 16)
(13, 14)
Is this relation a function?
yes
no
O Yes
Ο O No
Answer:
Yes
Step-by-step explanation:
function
A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.
4x + y = 14. 5x +2y = 19 solve the simultaneous equation
Answer:
(3, 2 )
Step-by-step explanation:
Given the 2 equations
4x + y = 14 → (1)
5x + 2y = 19 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 8x - 2y = - 28 → (3)
Add (2) and (3) term by term to eliminate y
- 3x + 0 = - 9
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
4(3) + y = 14
12 + y = 14 ( subtract 12 from both sides )
y = 2
solution is (3, 2 )
Step-by-step explanation:
[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]
[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]
[tex] \text{4x + y = 14 - - - - - (i)}[/tex][tex] \text{5x + 2y = 19 \: - - - - - (ii)}[/tex]Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.
[tex] \text{5x + 2y = 19}[/tex]
[tex] \text{ - 8x - 2y = - 28}[/tex]
_____________________
[tex] \text{ - 3x = - 9}[/tex]
Solve for x :
⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]
⤑ [tex] \tt{x = 3}[/tex]
Now , substitute the value of x in equation ( ii ) :
⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]
⟼ [tex] \text{15 + 2y = 19} [/tex]
⟼ [tex] \text{2y = 19 - 15}[/tex]
⟼ [tex] \text{2y = 4}[/tex]
⟼ [tex] \text{y = 2}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day night ! ♡
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Kara ran 5 miles yesterday. She ran again today. Her total distance for
both days is 6.5 miles. If she ran at a pace of 6 miles per hour today,
how long did Kara run today?
9514 1404 393
Answer:
15 minutes
Step-by-step explanation:
We can let t represent the time in hours that Kara ran today. Then her distance today is ...
distance = speed · time
distance = 6t
Her total distance for both days is ...
5 + 6t = 6.5
6t = 1.5 . . . . . . . . . . subtract 5
t = 1.5/6 = 1/4 . . . . . divide by 6
Kara ran 1/4 hour today. That is 15 minutes.
In a fruit survey , 30 children choose their favourite
fruit out of apples, bananas and watermelon.10% choose
apples, 30% choose bananas. How many children choose
watermelon?
Answer:
60%
Step-by-step explanation:
Does the point (4, 25) satisfy the equation y = 7x + –3?
Answer:
yes, point (4, 25) satisfies the equation y = 7x + –3
Step-by-step explanation:
to see if the point satisfies the equation, we need to plug in the x coordinate to get y
if y is equal to the y-coordinate, then the point satisfies the equation
if y does not equal the y-coordinate, then the point does not satisfy the equation:
y = 7(4) + - 3
y = 28 + -3
y = 25
does 25 = 25? Yes! so the point satisfied the equation
Answer:
yes
Step-by-step explanation:
7(x)- 3 = y
7(4) - 3 = (y)
28 - 3 = 25
Two equations that would have a solution of (3,6)
Answer:
[tex]1) y=2x\\2) y=x+3[/tex]
Step-by-step explanation:
[tex]1) y=2x\\2) y=x+3[/tex]
Hope I helped!
Check out my profile for more answers!
Select the correct answer.
What is the value of y in the triangle?
y
30°
60°
6
O A.
3
OB. 6
C. 673
D.
33
This is a special kind of right triangle, called a 30-60-90 triangle.
Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.
Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.
2x = 6
x = 3
Then, we are looking for the side opposite of the 60 degree angle. So its value is x[tex]\sqrt{3}[/tex].
x = 3
3 * [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]
y = 3[tex]\sqrt{3}[/tex] (option D)
Hope this helps!! :)
The value of y for the given triangle will be 3√3, hence option (D) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Right angle triangles are triangles in which one angle is 90°.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given a right-angle triangle
Let the side opposite to 30° is perpendicular and the remaining y will be base.
By trigonometric relation
cosx = base/hypotenuse
cos30° = y/6
y = 6 × cos30° ⇒ y = 6 × √3/2
y = 3√3 hence the value of the hypotenuse or y will be 3√3.
For more about triangles,
https://brainly.com/question/2773823,
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The sun of two numbers is 36. The larger number is 18 more than the smaller number. What are the numbers?
Answer:
Step-by-step explanation:
a+b=36
lets name the 2 numbers a,b
b=a+18
a+a+18=36
2a=36-18
2a=18
a=9
b=27
Answer:
the numbers are 9 and 27
Step-by-step explanation:
equation to the problem: x+y=36
one number (y) is 18 times greater than the other number (x): x+18=y
plug in the 2nd equation to the first equation (systems of equations):
x+(x+18)=36
solve the equation:
2x+18=36
*minus 18 on both sides*
2x=18
*divide the whole equation by 2 to get the value of just one x*
x=9
since variable x is the n smaller number, add 18 to 9 to get the 2nd number:
18+9= 27
y=27
Which graphs cannot represent a proportional relationship? Explain how you know.
PLEASE THIS IS DUE AT 11p.m
(i put the other one in the wrong subject)
Answer:
A and D
Step-by-step explanation:
because they pass through the origin
*** PLEASE HELP*** 1. What does 4x + 10x = and 2.Which expression is an example of having like-terms?
4x + 4y
4x2 + 5y2
5x + 3x
8 - 4x
Answer:
1. 14x
2. 5x + 3x
Step-by-step explanation:
1) 4x + 10x = 14x
2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.
The average of a list of 4 numbers is 90.0 . A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80 , and the fourth number in the new list is 96 . What is the average of this new list of numbers?
Answer:
94
Step-by-step explanation:
Average = sum of numbers / number of items in the set
for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360
If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280
so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376
Average of the new list = 376 / 4 = 94
Factor each expression by finding the GCF.
8 + 16 =
8 ( 1 + 16)
2 (4 + 16)
8 ( 1 + 2)
4 (2 + 6)
How much more would Keri's monthly loan payment be if she got a 5% loan for 5 years?
$
more per month
$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.
What is EMI?equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.
Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -
P x R x (1+R)^N / [(1+R)^N-1] where-
P = Principal loan amount.
N = Loan tenure in months.
R = Monthly interest rate.
R = Annual Rate of interest/12/100.
Putting these values in above equation
EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]
EMI = 9436
Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%
Learn more about EMI here:
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1/4 : 10 = x : 4 solve for x
Answer:
Step-by-step explanation:
1/4 :10=1/40
1/40=x/4
x=4/40=1/10
Find the area of the rectangle
Step-by-step explanation:
Length : 7cm
Breadth : 5cm
Area of a rectangle :
Length × Breadth
[tex]Area = 7cm \times 5cm \\ = 35 {cm}^{2} [/tex]
Cheyenne bought 60 tickets for rides at an amusement park. Each ride costs 4 tickets, and Cheyenne has been on x rides so far. Write an expression is equivalent to the number of tickets that Cheyenne has left?
Answer:
x=number of rides taken
y=number of tickets left
60=4(x)+y
Solve the following rational equation plz help!!
Answer:
x = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator
[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]
However, x ≠ - 1 for reason given above, then
solution is x = [tex]\frac{9}{4}[/tex]
Select all possible solutions for 2x + 7 < 3x - 5.
Answer:
7<x-5
12<x
x>12
Step-by-step explanation:
what is the slope of (4,6) and (-6,2)
Answer:
2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
simplify
m=2/5
Answer:
Step-by-step explanation:
Slope is m=(y2-y1)/(x2-x1)
m=(2-6)/(-6-4)
m=-4/-10
m=2/5
14 pencils cost £3.36. How much would 8 pencils cost?
Answer:
£1.92
Step-by-step explanation:
3.36/14 will give you the cost of each pencil
£0.24 is the cost of one pencil
8 pencils will cost you £1.92