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Basile [38]
3 years ago
10

the sum of julian's and kira's age is 58. kira is fourteen less than twice as old as julian. what are their ages?

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0
Julian is 24, Kira is 34. The total of both equals 58.
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An open rectangular box with square base has a volume of 256 cubic inches. determine the equation for the volume and surface are
Serjik [45]
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box

we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1

surface area of the box=area of the base+perimeter of base*height

area of the base=b²
perimeter of the base=4*b

surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2

substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b

the answer is

the formula of the volume of the box is  V=b²*h-----> 256=b²*h

the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b
4 0
3 years ago
Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Setler79 [48]

Answer:

\Huge \boxed{3a+4}

Step-by-step explanation:

The function is given.

f(x)=3x+1

To find :  f(a+1)

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

f(a+1)=3(a+1)+1

Expand brackets.

f(a+1)=3a+3+1

Simplifying.

f(a+1)=3a+4

3 0
3 years ago
If J is the centroid of cde, de=52, fc=15, he=14, find each missing measure
const2013 [10]

Answer:

DG = 26

GE = 26

DF = 15

CH = 14

CE = 28

Step-by-step explanation:

The figure has been attached, to complement the question.

DE = 52

FC = 15

HE = 14

Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:

DF = FC

CH = HE

DG = GE

Solving (a): DG

If DG = GE, then

DE = DG + GE

DE = DG + DG

DE = 2DG

Make DG the subject

DG = \frac{1}{2}DE

Substitute 52 for DE

DG = \frac{1}{2} * 52

DG = 26

Solving (b): GE

If DG = GE, then

GE = DG

GE = 26

Solving (c): DF

DF = FC

So:

DF = 15

Solving (d): CH

CH = HE

CH = 14

Solving (e): CE

If CH = HE, then

CE = CH + HE

CE = 14 + 14

CE = 28

7 0
3 years ago
The profit p in thousands of dollars that a manufacturer makes is a function of the number N of items produced in year and the f
myrzilka [38]

Answer:

Step-by-step explanation:

G

4 0
3 years ago
What is the graph of the solution
Natalka [10]

Answer:

Step-by-step explanation:

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