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mario62 [17]
3 years ago
6

1/8 (16k-24)+1/5 (2+10k)

Mathematics
1 answer:
Feliz [49]3 years ago
3 0
¹/₈(16k - 24) + ¹/₅(2 + 10k)
¹/₈(16k) + ¹/₈(-24) + ¹/₅(2) + ¹/₅(10k)
2k + (-3) + ²/₅ + 2k
2k - 3 + ²/₅ + 2k
2k + 2k - 3 + ²/₅
4k - 2³/₅
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What is (4.25-1.75) divided by 25=
vichka [17]
4.25-1.75= 2.5

2.5/25= 0.1

The final answer is 0.1
8 0
2 years ago
Read 2 more answers
GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?
loris [4]

Answer:

Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

so

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

Remember that

DG=GF

substitute the given values

2n-1=14

solve for n

2n=14+1

2n=15

n=7.5\ cm

step 2

Find the length of GJ

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

so

GJ=\frac{1}{2}DE

we have

GE=2n+1=2(7.5)+1=16\ cm

substitute

GJ=\frac{1}{2}16=8\ cm

step 3

Find the length of HK

we have that

HK=\frac{1}{2}GJ ----> by the midpoint theorem

we have

GJ=8\ cm

substitute

HK=\frac{1}{2}8=4\ cm

7 0
3 years ago
A publisher estimates the annual demand for a book to be 8000 copies, and built a warehouse to accommodate at most 8000 copies.
Illusion [34]

Answer: $1000

Step-by-step explanation:

Annual demand (D) = 8000

Cost per order (S) = $1000

Cost per unit to print = $8 per book

Storage cost = $2 per book per year

The minimum total cost can be found thus :

√(2 × D × S) / storage cost * cost per unit

√(2 × 8000 × 1000) / (2 * 8)

√ (16,000,000 / 16

√ (1,000,000

= 1000

Hence , minimum total cost $1000

8 0
3 years ago
Michael Jordan is 6'6'' tall and could jump 4 feet of vertical distance off the ground.A basketball net's rim is 3.9 meters off
Vaselesa [24]
No. 6+4=10. Michael Jordan's head reaches 10'6" above the ground. A meter is slightly more than 3 feet, so 3.9 meters is more than 11'8". 

MJ's head would not reach the rim by more than a foot.
3 0
3 years ago
10. Write the slope-intercept form of the equation of the
Ghella [55]

Answer:

y = -3x + 18

Step-by-step explanation:

The slope intercept form of a line is expressed as y = mx+c

m is the slope

b is the intercept

Get the slope

Given the equation of a line 9x + 3y = 6

Rewrite

3y = -9x + 6

y = -9x/3 + 6/3

y = -3x + 2

Hence the slope of the line is -3

Get the y-intercept

Substitute m = -3 and (5,3) into y  = mx+b

3 = -3(5) + b

3 = -15 + b

3 + 15 = b

18 = b

b = 18

Get the required equation

y = mx+b

y = -3x + 18

This gives the required equation

6 0
3 years ago
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