Which expresion is equivalent to the -3(4×-2)-2×

Which of the following is a multiple of 5 A.235 B. 532 C.17 D. 48

Paul [167]

It would be 235 because it ends in five (any number ending in 5 or 0 is a multiple of 5)

4 0

3 years ago

A dealer marks his goods at 35% above the cost price and allows a discount of 20% on the marked price. Find his gain or loss per

vovikov84 [41]

Answer:

Step-by-step explanation:

100(1.35(0.8)p-p)/p=8%

Since this is positive the dealer makes an 8% profit.

6 0

3 years ago

Find the unit rate for a runner in miles per hour who runs at a pace of 3/4 mile in 10minutes

yanalaym [24]

Answer:

$\large \boxed{\text{4.5 mi/h}}$

Step-by-step explanation:

A unit rate is the number of something there is per one unit of something else.

In this question, the unit rate is the number of miles per one hour.

1. Convert minutes to hours

$\text{time} = \text{10 min} \times \dfrac{\text{1 h}}{\text{60 min}} = \frac{1}{6} \text{ h}$

2. Find the unit rate

$\begin{array}{rcl}\text{unit rate} & = & \dfrac{\text{miles}}{\text{hours}}\\\\& = & \dfrac{\frac{3}{4}\text{ mi}}{\frac{1}{6}\text{ h}}\\\\& = &\dfrac{3}{4} \times \dfrac{6}{1}\text{ mi/h}\\\\& = & \dfrac{3}{2} \times\text{3 mi/h}\\\\& = & \textbf{4.5 mi/h}\\\end{array}\\\text{The unit rate is $\large \boxed{\textbf{4.5 mi/h}}$}$

7 0

3 years ago

A car's velocity changes at a rate of 36 miles per hour in 0.5 hour.

kotegsom [21]

Answer:

72

Step-by-step explanation:

In order to find the acceleration we need first to defined it, so:

acceleration=((final velocity)-(initial velocity))/time interval

$a=(vf-vi)/dt$

But (vf-vi) actually represents the velocity change, so (vf-vi)/dt represents the velocity change rate. This means that in our case:

$a=(36miles/hour)/(0.5hours)$

$a=72miles/hour^2$

In conclusion the acceleration is $a=72miles/hour^2$ , without units just 72.

7 0

4 years ago

Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation).

Evgesh-ka [11]

Answer:

(12, 40)

Step-by-step explanation:

The first thing is to assume that we have a point with the following coordinates (x, y).

Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.

Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:

(3 * 4, 4 * 10) = (12, 40)

3 0

3 years ago