She wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first
flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour
baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder
salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt
butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter
sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar
eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs
vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract
milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk
for 25 servings
she needs
3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk
Answer:
Three circular arcs of radius $5$ units bound the region shown. Arcs $AB$ and $AD$ are quarter-circles, and arc $BCD$ is a semicircle.
Step-by-step explanation:
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
Answer:
the answer is f^2+8f+3^-4f
Answer:
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
Step-by-step explanation:
Given the geometric series:
1/3+2/9+4/27+8/81+16/243
First we must know that the series is a finite series with just 5terms.
Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.
r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27
r = 2/9 × 3/1
r = 2/3
Similarly;
r = 4/27×9/2
r = 2/3
Since all values of r is the as them the common ratio is 2/3.
If r< 1 in geometric series, then the formula for finding its sum is applicable
Sn = a(1-rⁿ)/1-r
a is the first term = 1/3
r is the common ratio = 2/3
n is the number of terms = 5
Substituting the values in the formula we have:
S5 = 1/3{1-(2/3)^5}/1-2/3
This gives the requires equation
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
