Answer: 7 3/4 - 2/25 = 767/100 = 7 67/100 = 7.67
Step-by-step explanation:
Conversion a mixed number 7 3/4
to a improper fraction: 7 3/4 = 7 3/4 = 7 · 4 + 3/4= 28 + 3/4 = 31/4
To find a new numerator:
a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4
b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31
c) Write a previous answer (new numerator 31) over the denominator 4.
Seven and three quarters is thirty-one quarters
Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/
100 = 767/100
Answer:
10x^2-25x-35
Step-by-step explanation:
FOIL means first, outer, inner, and last.
The first term of each pair is 2x and 5x.
The outer term of each pair is 2x and 5.
The inner term of each pairs are -7 and 5x.
The last term of each is -7 and 5.
Now we just have to multiply the terms I pairs above:
First: (2x)(5x)=10x^2
Outer: (2x)(5)=10x
Inner: (-7)(5x)=-35x
Last: (-7)(5)=-35
------------------------------Add the terms:
10x^2-25x-35
Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240
Answer:
10 square units
Step-by-step explanation:
We want to find the area under the curve 
from x=1 to x=3.
We use definite integrals to find this area.
We integrate to obtain:
We evaluate the limits to get:
Therefore the area under the curve from x=1 to x=3 is 10 square unit.
Y=-2/3 x-2
y=-2x+2
We solved this equations system by equalization method.
-2/3 x -2=-2x+2
Least common multiple: 3
-2x-6=-6x+6
-2x+6x=6+6
4x=12
x=12/4=3
y=-2x+2
y=-2(3)+2=-6+2=-4
Solution: x=3; y=-4
To chek:
y=(-2/3)3-2=-4
y=-2(3)+2=-6+2=-4
