<span>First of all Parentheses should be evaluated ie.(6+3) gives 9.Then subtract the number 24 ie.24-9=15.This yields twenty four minus (six plus three) which gives 15.This the final answer for this expression.This is the simple and basic mathematical expression which can be solved quickly.</span>
the correct question Part 1) is
<span>A school photo has dimensions of 2 1/4 inches by 2 3/4 inches. What are the dimensions of the school photo if it is enlarged by a scale factor of 7?
we know that
2 1/4 in-------> (2*4+1)/4----> 9/4 in
2 3/4 in-----> (2*4+3)/4-----> 11/4 in
if the scale factor=7
the dimensions of the school photo are
(9/4)*7-----> 63/4 in-----> 15 3/4 in
(11/4)*7----> 77/4 in-----> 19 1/4 in
the answer Part 1) is
</span>the dimensions of the school photo are
15 3/4 in x 19 1/4 in
Part 2) <span>Stephanie drew a picture of her house with her prize rosebush in the front. In her picture, she drew the rosebush 1.5 centimeters tall, and she drew the house 7.5 centimeters tall.
If her rosebush is really 0.75 meter tall and she made her drawing to scale, what scale did she use?
scale factor=measure in the drawing/measure in the actual
scale factor=1.5 cm/0.75 m-----> 2 cm/m
that means
2 cm in the drawing is equal to 1 meter in the actual
if the house in the drawing is 7.5 cm tall
the house in the actual is 7.5/2----> 3.75 m
the answer Part 2) is
the scale is 2 cm/meters
Part 3)</span><span>A photo of a painting has a scale of 3 inches = 2 feet. If the photo is 7.5 inches long, how many feet long is the painting?
we know that
</span>
scale factor=measure in the photo/measure in the painting
measure in the painting=measure in the photo/scale factor
scale factor=3/2---> 1.5 in/ft
measure in the photo=7.5 in
measure in the painting=7.5/1.5----> 5 ft
the answer part 3) is
the painting is 5 ft long
Answer:
Step-by-step explanation:
To solve this equation, one must apply the following logarithmic property:
if
then
Applying it to the problem at hand:
The solutions to the problem are 4/7 and -4/7.
*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.
The answer is 2
because 12 divided by 6 equals 2
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
