MATHS - 10 POINTS HCF/LCM thankyou!!A car’s service book states that the air filter must be replaced every 10,000 miles and the diesel fuel filter every 24,000 miles.
At how many miles will they both need replacing at the same time?
DO I WORK OUT THE LCM OR HCF?
WHAT IS THE FINAL ANSWER AND WHY??
PLEASE INCLUDE WORKING THANK YOUUU!!!!!
Answers
10,000|2
5,000|2
2,500|2
1,250|2
625|5
125|5
25|5
5|5
1
24,000|2
12,000|2
6,000|2
3,000|2
1,500|2
750|2
375|3
125|5
25|5
5|5
1
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determine the coordinates of the points that satisfy each condition two points on the x-axis are 10 units from (1,8)
8,000 mm
0.8 m
0.08 km
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Answers
Hope it is helpful :)
Answers
Answer:
n = -1 n = -7
Step-by-step explanation:
5| 2n+8| +3 = 33
Subtract 3 from each side
5| 2n+8| +3-3 = 33-3
5| 2n+8| = 30
Divide by 5
5/5| 2n+8| = 30/5
| 2n+8| = 6
An absolute value equation has two solutions, one positive and one negative
2n+8 = 6 2n+8 = -6
Subtract 8 from each side
2n+8-8=6-8 2n+8-8 = -6-8
2n = -2 2n = -14
Divide by 2
2n/2 = -2/2 2n/2 = -14/2
n = -1 n = -7
Answers
Bags collected by reggie and Courtney are 6, 9 respectively.
SOLUTION:
Given, Reggie and Courtney are picking up trash along the highway.
Together they have collected 15 bags of trash.
Courtney has collected 3 more bags then Reggie.
We have to find how many bags have they each collected?
Let the number bags collected by reggie be n, then number of bags collected by Courtney will be 15 – n.
Now, according to the given information,
Number of bags with Courtney = 3 + number of bags with reggie
15 – n = 3 + n
n + n = 15 – 3
2n = 12
n = 6
so, reggie collected 6 bags, then, Courtney collected 15 – 6 = 9 bags.
Hence, bags collected by reggie and Courtney are 6, 9 respectively
y = x^2+7x−4
y = −x−4
Answers
y = -x - 4
x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
- 8 - 8
x = -8
y = -x - 4
y = -0 - 4
y = 0 - 4
y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)
The solutions are (0, -4) and (8, -4).
y=-x-4
We can solve this system of equation by equalization method.
x²+7x-4=-x-4
x²+7x+x-4+4=0
x²+8x=0
x(x+8)=0
we have two linear equations :
x=0 ⇒ x=0 ⇒ y=-x-4=-0-4=-4
(x+8)=0 ⇒ x=-8 ⇒ y=-x-4=-(-8)-4=8-4=4
We have two solutions:
solution₁: x=0; y=-4
solution₂: x=-8; y=4
Answers
The algebraic expression "8 minus the quotient of 15 and y" can be written as:
8 - (15 / y)
Given that a verbal expression we need to convert it in algebraic form,
The given algebraic expression is "8 minus the quotient of 15 and y."
To understand this expression, let's break it down step by step:
Quotient: The quotient refers to the result of dividing one number by another.
In this case, we are dividing 15 by y. The expression "15 divided by y" can be written as 15/y.
Minus: The word "minus" indicates subtraction. It means we need to subtract the value obtained in the previous step from 8.
Putting it all together, the algebraic expression "8 minus the quotient of 15 and y" can be represented as:
8 - (15/y)
This expression represents the difference between 8 and the result obtained by dividing 15 by y.
The expression represents the result of subtracting the quotient of 15 and y from 8.
The value of y will determine the specific numerical result when you substitute it into the expression.
Learn more about algebraic expression click;
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Answers
The cost of the dog food without the coupon is $20.
What is the percentage?
The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
It is given that 4 dollars are 20% of the original price of the dog food. Let's have x be the original price of the dog food.
The cost of the dog food without the coupon is calculated as:-
4=x ( 20 )
To get x alone divide both sides by 20 and solve further.
( 4 / 20 )= ( x ( 20) / 20 )
Solve the above equation by cancelling 20 to get the value of x.
4/20=x
Divide 4 by 20 to get the answer and multiply by the value 100 to get the actual cost of the product.
x = 0.2 x 100 = 20
Therefore, the cost of the dog food without the coupon is $20.
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then $4 x 5 = $20
So without the coupon the dog food costs $20
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