Answer:
42
Step-by-step explanation:
6/6 = 1
42/42 = 1
Hey there!
This grocer is mixing two kinds of coffee. I always love the smell of coffee!
We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.
Altogether there are 24 pounds of coffee he is selling.
The algebraic equation would be x + y = 24
At $1.30 per pound, he will make 24 * $1.30 = $31.2
So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?
The algebraic equation would be 1.15x + 2.75y = 31.2
We now have two equations :
x+y = 24
1.15x + 2.75y = 31.2
Substituting x= 24 -y in the second equation gives us
1.15(24-y) + 2.75y = 31.2
27.6 - 1.15y + 2.75y = 31.2
27.6 + 1.6y = 31.2
1.6y = 31.2 - 27.6
0.3y= 3.6
y= 2.25
x + y = 24
x + 2.25 = 24
x = 24 -2.25
x = 21.75
If y=2.25, then x= 21.75 as well.
So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.
~Done~
Answer:
(A) 509.78
We need to move the decimal point after the first non-zero digit
So,
=> 5.0978 × 10² (Since the decimal point is moved two places to the left)
(B) 0.0289
Again after the first non-zero digit:
So, it becomes:
=> 2.89 × 10⁻² (Since the decimal point is moved 2 places to the right so it will be negative also)
Answer:
v = 15/7, or 2.14
Step-by-step explanation:
Find a common denominator, or multiply both denominators by each other, and well as the numerator.
v/5 = 3/7 can be written as 7v/35 = 15/35
multiplying both sides with 35, we are left with 7v = 15
v = 15/7, or 2.14
9514 1404 393
Answer:
yes
Step-by-step explanation:
If GH║FE, then ∆DEF ~ ∆DHG.
In similar triangles, corresponding sides have the same ratios.
The ratios of corresponding sides are ...
DG/DF = DH/DE
DG/(DG + GF) = 18/(18+36)
(1/2GF)/((1/2GF +GF) = 1/3
(1/2)/(3/2) = 1/3
1/3 = 1/3
Corresponding sides are proportional. Angle D is congruent to itself, so ∆DEF ~ ∆DHG by the SAS similarity postulate. Angles DGH and DFE are therefore congruent and GH║FE.
