Step-by-step explanation:
To simplify the ratio of 221:289, you must find a common factor between the two numbers. In this case, they share 1 and 17. Use 17, and divide both numbers by it. You'll end up with 13:17 as your simplified ratio.
<u>Answer with step-by-step explanation:</u>
We are given two figure for which we have to find their areas.
To make it easier, we will break down these figure into recognizable shapes and then find the total area.
<u>Figure 1:</u>
Area of rectangle = 110 x 140 = 15400 cm^2
Area of triangle = 0.5 x (180 - 110) x 90 = 3150 cm^2
Area of figure 1 = 15400 + 3150 = 18550 cm^2
<u>Figure 2:</u>
Area of square = 8 x 8 = 64 cm^2
To find the area of triangle, we need to find the length of the base using the Pythagoras Theorem:
Area of triangle = 0.5 x 6 x 8 = 24 cm^2
Area of figure 2 = 64 + 24 = 88 cm^2
Answer:
Bus B travels faster.
Step-by-step explanation:
Bus A travels according to the equation
y = 125/2 x
This equation is in the form y = mx + b, where m = 125/2, and b = 0.
m is the slope, so the slope is 125/2 which equals 62.5
The slope is the rate of change. Since y is distance in miles, and x is time in hours, the slope is the speed in miles per hour.
The speed of Bus A is 62.5 miles per hour.
Bus B travels according to the graph. We can find the slope by using easy-to-read points on the graph. The slope is the speed in miles per hour.
Look for two points on grid line intersections since they are the easiest ones to read. Let's use point (0, 0) and point (3, 200). Now that we have 2 points, we can find the slope.
The speed of Bus 2 is 66.67 miles per hour.
Answer: Bus B travels faster.
The multiplication of 3 and -4 on a number line is shown
<h3><u>Solution:</u></h3>
The number line representation is shown below
On number line the points are at equal distances
The multiplication of 3 with -4 can be understood in the following way:-
a × b , means a jumps b times
Eg :- 3 × -4 means 3 jumps -4 times
Which basically mean we are going to move 3 number per step , and we are going to do this 4 times and –ve sign indicates we will move in negative direction
Therefore,
So, when we move from 0 , when we take first step we reach -3 , in next step we reach -6 , in next we reach -9 and in the last step we reach -12
Which is the product 3 and -4 .i.e.
Answer:
Number of cheaper dresses sold is 35
Number of expensive dresses sold is 15
Step-by-step explanation:
Given:
Cost of cheaper dresses = $90
Cost of expensive dresses = $140
Total cost of the dresses = $5250
To Find:
Number of cheaper dress = ?
Number of expensive dress = ?
Solution:
Let
The number of cheaper dresses be x
The number of expensive dresses be y
(Number of cheaper dresses X cost of cheap dress) + (Number of Expensive dresses X cost of expensive dress) = $5250
= $5250
It is given that the 20 more of the cheaper dresses than the expensive dresses is sold
So,
number of cheaper dress = 20 + number of expensive dress
x = 20 + y---------------------------------------(1)
y = 15
Substituting y in (1)
x = 20 +15
x= 35