Answer: 16/25
<h2>Solution with Steps</h2>
4/10 divided by 5/8 = ?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal or inverse of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes -
4/10 x 8/5 = ?
For fraction multiplication, multiply the numerators and then multiply the denominators to get -
Numerators: 4 x 8 = 32
Denominators: 10 x 5 = 50
Fraction: 32/50
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 32 and 50. The GCF (Greatest Common Factor) would be 2.
Numerator: 32 / 2 = 16
Denominator: 50 / 2 = 25
Fraction: 16/25
<h2>Another Solution</h2>
4/10 divided by 5/8 = ?
Cross multiply -
Numerator x Denominator: 4 x 8 = 32
Denominator x Numerator: 10 x 5 = 50
Fraction: 32/50
Reduce by dividing both the numerator and denominator by the Greatest Common Factor, which is 2.
Numerator: 32 / 2 = 16
Denominator: 50 / 2 = 25
Fraction: 16/25
Say her hourly pay was $p for the day shift and $1.2p for the night shift.
(1) x = 55. Clearly insufficient: we need to know how these 55 hours are split between the day shift hours and the night shift hour.
(2) Grace's gross pay for the hours she worked on day shift last month was exactly 50% of her total gross pay for last month. Not sufficient.
(1)+(2) Say Grace worked h hours on the day shift and 55-h hours on the night shift. Thus, her pay for the the hours she worked on day shift is $ph and the total gross pay is $ph+(55-h)*1.2p. From (2) we have that ph=0.5(ph+(55-h)*1.2p) --> reduce by p: h=0.5(h+(55-h)*1.2). We have 1 variable, so we can solve for it. Sufficient.
Answer: C.
<span>Jen bought 5 bags of beads. She counts 45 wooden beads and 21 glass beads in each bag. Which number sentences can be used to find the total number of beads in the bags? Choose<span> exactly two</span> answers that are correct.</span><span><span><span> A.</span>g = 5 × (45 + 21)</span><span><span> B.</span><span>g </span>= (5 × 45) + 21</span><span><span> C.</span>g = (5 × 45) + (5 × 21)</span><span><span> D.</span><span>g </span>= 10 × (45 + 21)</span></span>
Answer:
The answer to the best prediction is 115.04
Step-by-step explanation:
We have to:
x = 102
They also tell us that:
y = 5.9 + 1.07 * x
If we replace we have:
y = 5.9 + 1.07 * (102)
y = 115.04
Therefore, the best predicted value of ModifyingAbove and with caret given that the older child has an IQ of 102 is 115.04
Hey there! I'm happy to help!
Let's think of this as the equation y=mx+b, where m represents the slope and b equals the y-intercept.
The y-intercept is where the line hits the y-axis. As we can see, it hits it at the y-value of zero. Therefore, our equation is just left as y=mx now because b is 0.
We want to find the slope now. This is known as the rise/run, or the y/x. This is basically saying how far up it goes for every one step to the right. If we go to the x-value of one, we see that the y-value is at a little bit less than one. We want to keep on moving to the right until the y-value is at a nice integer value (number without fractions).
If we keep on moving to the right, we see that at the x-value of 3, the y is at 2. This means that the slope is 2/3. And it makes sense! When we were looking at that value of 1, the y-value was less than one and looked like it was at about 2/3, or 0.666....
This will apply to all points on the line. Our y will always be 2/3 of what x is.
Therefore, the equation is y=2/3x
I hope that this helps! Have a wonderful day!
