Answer:
6 and 18 are common because 6x3=18. Remember the rule to multiply all numbers by 3. So multiply 10 by 3 and you will get 30. The total number of square tiles needed is 30 tiles. If you are putting it into a ratio it would be 18:30.
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Answer:
Store A offers the least amount for the sofa
Step-by-step explanation:
Cost of sofa =$500
For store A
Discount =20% off
The amount of the discount is
=20/100*500
=0.2*500
=$100
6.5% sales tax
The amount of tax is
=6.5/100*500
=0.065*500
=$32.5
Total cost of the sofa
=500-100+32.5
=400+32.5
=$432.5
For store B
Discount =30% off
The amount of the discount is
=30/100*500
=0.3*500
=$150
Shipping fee $85
Total cost of sofa
=500-150+85
=350+85
=$435
Answer:
m∠2 = 78°
Step-by-step explanation:
From the given picture,
lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.
∠1 and angle with the measure of 78° are corresponding angles.
Therefore, m∠1 = 78°
m∠1 = m∠2 [Vertical angles are equal]
m∠2 = 78°
<u>Answer:</u>
Solving for x in 12x − 39 ≤ 9 and −4x + 3 < −6 we get 2.25 < x ≤ 4
<u>Solution</u>:
Need to find the value of x which satisfies following two given expressions
12x − 39 ≤ 9 ------(1)
−4x + 3 < −6 ------ (2)
Lets first solve expression (1)
12x − 39 ≤ 9
Adding 39 on both sides , we get
12x−39 + 39 ≤ 9 +39
=>12x ≤ 48
=> x ≤ 48/12
=> x ≤ 4
Now solving expression (2)
−4x+3<−6
=> -4x < -6 – 3
=> -4x < -9
=> 4x > 9
=> x > 9/4
=> x > 2.25
So from solution of expression (1) and (2) , we get x ≤ 4 and x > 2.25
Hence required value of x is 2.25 < x ≤ 4.