Answer:
1/4
Step-by-step explanation:
So, we can create this representation of a in relation with b, since we know a is smaller than b by 1/5 of b, we can say that a is equal to 4/5 of b, right?
To invert the ratio, we need to isolate B, so we multiply both sides of the equation by 5/4
So, we have b being 1/4 bigger than a.
Answer:
-0.75
Step-by-step explanation:
To get the z score we have to use this formula
Z = X-mean/standard deviation
X = 2300
Mean = 3200
The standard deviation = 1200
When we plug these values into the z formula above, we have:
2300-3200/1200
= -900/1200
= -0.75
the z-score for a backyard structure costing $2,300 is therefore -0.75
Answer:
1) True
2) True
3) False
4) True
5) True
Step-by-step explanation:
1) -2《3 - 3
-2《0
-2》-3 - 2
-2》-5
2) 4 > -3 + 3
4 > 0
4 > 1 + 2
4 > 3
3) -2《0 - 6
-2《-6 is false
4) 0 - 3 < 4
-3 < 4
0 + 3 > -1
3 > -1
5) 0 > -6 - 3
0 > -9
0 < 3 + 6
0 < 9
Answer:
Step-by-step explanation:
Factor each half of the expression separately:
Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:
Answer:
x = 2
Explanation:
First, make sure they both have common denominators ( 15 )
5 × 3 = 15 and 3 × 5 = 15
Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.
=
Next, multiply the numerator and denominator of the second fraction by 5.
=
Now we have:
Use distributive property on the numerators of both fractions.
Since the denominators are equal we can ignore them for now and find x.
9<em>x </em>- 3 = 5<em>x</em> + 5
We need to move like terms to different sides to isolate x. First, we can subtract 5<em>x</em> from both sides.
9<em>x</em> - 5<em>x</em> - 3 = 5<em>x</em> - 5<em>x</em> +5
4<em>x</em> - 3 = 5
Then, we can add 3 to both sides to cancel out the -3.
4<em>x</em> - 3 + 3 = 5 + 3
4<em>x</em> = 8
Finally, to find x we divide both sides by 4.
4x ÷ 4 = 8 ÷ 4
x = 2