Write an equation that represents each mixed number as a sums of a whole number and unit fractions 4 1/4 and 1 5/6

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a t

Kaylis [27]

Answer:

Step-by-step explanation:

We need a system of equations here. The first equation is that 3L boxes + 5s boxes (L = large and s = small) = 88 kg so

3L + 5s = 88

12L + 2s = 235 according to the other information given.

Solve the first equation for either L or s. I'll solve for L, just because:

3L = 88 - 5s and

L = $\frac{88}{3}-\frac{5}{3}s$ and sub that into the second equation for L:

$12(\frac{88}{3}-\frac{5}{3}s)+2s=235$ and if you distribute the 12 into the parenthesis you'll simplify it down a bit to

352 - 20s + 2s = 235 and combine like terms:

-18s= -117 so

s = 6.5 kg and plug that in to solve for L:

L = $\frac{88}{3}-\frac{5}{3}(6.5)$ and

L = 18.5 kg

3 0

3 years ago

Given the coordinate (-5,6) lies on the function h(x), which point must lie on the inverse,h^-1?

Iteru [2.4K]

Answer:

(6, - 5 )

Step-by-step explanation:

Given a point (x, y ) on the function then the corresponding point on the inverse is (y, x )

Given

(- 5, 6 ) lies on h(x) , then

(6, - 5 ) lies on $h^{-1}$ (x)

6 0

3 years ago

The population of center city is modeled by exponential function f, where x is the number of years after the year 2015

Vladimir [108]

Find the ratio of the area to the square radius for each circle.

6 0

3 years ago

NO LINKS!!! PLS HELP ME IM TRYING TO GRADUATE PLSSS !!! Find the midpoint of the segment below and enter its coordinates as an

Leto [7]

Answer:

x = 5/2 , y = -7/2

Step-by-step explanation:

r's your solution

=> formula for finding midpoint =.( X1 + X2/)/2 , (Y1+Y2)/2

=> putting the value of in formula

=> x= 4+1/2 , y = -1-6/2

=> x = 5/2 , y = -7/2

hope it helps

3 0

3 years ago

Find the volume of a prism with triangular bases where the perimeter of the base = 16", apothem = x", and the prism height = 10"

DIA [1.3K]

First, calculate for the area of the base by the equation given,
A = 1/2aP
where A is area, a is apothem, and P is perimeter. Substituting the known values,
A = 1/2(x)(16") = 8x in²
Next, solve for the volume of the prism by the equation,
V = Bh = (8x in²)(10 in)
V = 80x in³
Thus, the volume of the prism is approximately 80x in³.

8 0

4 years ago