Let x be the number of nickels and y be the number of quarters.
Then, x + y = 42 --- (1)
It is given that total value = 4.90.
Therefore, 0.05x + 0.25y = 4.9 --- (2)
Multiply (1) by 0.25
0.25x + 0.25y = 10.5 --- (3)
Now, subtract (2) from (3), we get,
0.2x = 5.6
Divide both sides by 0.2.
x = 28
x + y = 42
y = 42 - x
= 42 - 28
= 14
Hence, Mary has 28 nickels and 14 quarters in total.
Lets name the number of guppies in the tank as x
number of goldfish in the tank is 6 times the amount of guppies.
since the amount of guppies is x, then number of goldfish is 6 * x = 6x
therefore total amount of guppies and goldfish is x + 6x
there are total of 21 fish
therefore x + 6x = 21
7x = 21
x = 21/7
x = 3
therefore number of guppies = 3
number of goldfish -6x and x = 3 therefore 3 x 6 = 18 goldfish
we are asked to find how many more goldfish than guppies
we have to find the difference
18 - 3 = 15
there are 15 more goldfish than guppies
Answer:
B) 480
Step-by-step explanation:
The given is a regular hexagon so all interior angles are equal to each other their to find the sum:
4*180 = 720 to find the sum of <p+<q+<r+<s we divide this result by 6 because the hexagon has 6 interior angles, then multiply the result by 4
720/6 = 120
<p+<q+<r+<s = 120*4
<p+<q+<r+<s = 480
Answer:
x = 78
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
Answer:
Translation and dilation.
Step-by-step explanation:
<em>Figure 1</em> shows Circles A (red) and B (blue) before any transformations.
<em>Step 1</em>. Translate the centre of circle A from (4,5) to (1,7).
The circles are now concentric <em>(Fig. 2)</em>.
Step 2. Dilate the radius of Circle A by a factor of 9/3.
r₁×9/3 ⟶ r₂, so every point of the dilated circle coincides with an identical point on Circle B <em>(Fig. 3).
</em>
The translation, followed by a dilation with scale factor r₂/r₁, mapped Circle A onto Circle B, so <em>the two circles are similar</em>.