Answer:
To pack 1872 muffins the mini muffins company needs 156 large boxes.
Step-by-step explanation:
Number of muffins baked by the mini muffins company = 1872.
the large mini muffin boxes hold a dozen muffins that is the large box contains 12 muffins.( 1 Dozen = 12 )
We have to find the number of large boxes needed to pack 1872 muffins.
Using unitary method,
12 muffins is contained in 1 large box.
1 muffin is contained in 
large box.
1872 muffins contained in 
large boxes.
Hence, To pack 1872 muffins the mini muffins company needs 156 large boxes.
Answer:
∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
1. 
units
units
units
units, then
2. 
and 
are right angles - given
3. 
two right angles are always congruent.
4. 
by SAS similarity theorem.
SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Given: 1 cm = 2 3/4 ft ; kitchen length = 4 1/2 cm
2 3/4 = 11/4; 4 1/2= 9/2
11/4 x 9/2 = 99/8 =12 3/8
OR You could use decimals
2 3/4 = 2.75 ; 4 1/2 = 4.5
2.75 x 4.5 = 12.375
12.375 = 12 375/1000 or 12 3/8
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190
Answer: first number is 190
From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360.
measure of angle ACB = (24/60)(360)
measure of angle ACB = 144°
Thus, the angle measure 144°.
