Answer:
60%, 0.62, 0.625
Step-by-step explanation:
Step 1: Convert 5/8 to decimal form.
In order to convert a fraction to a decimal, we divide the numerator (top) by the denominator (bottom). By dividing 5 by 8, we can get the fraction 5/8 in decimal form, which is 0.625
Step 2: Convert 60% to decimal form.
In order to convert a percentage to a decimal, all we have to do is move the percentage's decimal point two spots to the left. Since 60% shows us no decimal point, we can assume that it comes directly after the 0, or 60.0%. After moving the decimal point two spaces to the left, we find that 60% = 0.60 in decimal form.
Step 3: Compare the numbers.
Since 0.62 is already in decimal form, we don't need to make any changes. This means that we can compare the numbers we just found as well as 0.62. Since our numbers would be 0.625 (5/8), 0.60 (60%), and 0.62, from least to greatest we would get 60%, 0.62, 0.625
Answer:
logb(x y) = y ∙ logb(x)
Step-by-step explanation:
Answer:
<h2>
WX = 3√2 units </h2>
Step-by-step explanation:
Using the formula for calculating the distance between two points to calculate the length of WX.
D = √(y₂-y₁)²+(x₂-x₁)²
Given the endpoints W(2,-7) and X(5,-4), x₁ = 2, y₁ = -7, x₂ = 5 and y₂ = -4
Substituting this values into the formula to get the length of WX will give;
WX = √(-4-(-7))²+(5-2)²
WX = √(-4+7)²+3²
WX = √3²+3²
WX = √18
WX = √2*9
WX = 3√2 units
Hence the length of WX is 3√2 units.
Answer:
x = 36 and y = 28
Step-by-step explanation:
Let she sells x shakes and y doublescoop cones
One day they sold 8 more shakes than scoops, and made $156.
ATQ,
2x+3y = 156 ..(1)
Also,
x = y+8 ..(2)
Put the value of x from (1) to equation (2)
2(y+8)+3y = 156
2y+16+3y = 156
5y = 156 - 16
5y = 140
y = 28
Put the value of y in equation (2)
x = 28+8
x = 36
<em>Hence, they will sell 36 shakes and 28 doublescoop cones.</em>
Answer:
x=2, y=-3
Step-by-step explanation:
This type of problems is called a system of equations, or simultaneous equations.
When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:
2x+2y=-2
3x-2y=12
(2x+3x)+(2y-2y)=(-2+12)
5x=10
x=2
Now that we know the value of x, use it to find y:
2x+2y=-2
2(2)+2y=-2
4+2y=-2
2y=-6
y=-3
