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DENIUS [597]
3 years ago
12

B) (x + 4) 1999 = 1 Find x

Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0

Answer:

Step-by-step explanation:

(X+4)1999=1

Open the bracket by multiplying 1999 by the values in the bracket

1999x + 7996 = 1

Collect like terms

1999x = 1-7996

1999x = -7995

Divide both sides by 1999

X = -3.99

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vitfil [10]

Answer:

Step-by-step explanationp :

ph =lo 4

3 0
2 years ago
At a carnival, Ryan bought 16 packs of 7 tickets each. He also found 9 more tickets on the ground. How many tickets did Ryan hav
V125BC [204]

Answer:

121 tickets

Step-by-step explanation:

16x7+9=121

I hope this helps

3 0
3 years ago
14. BUS TRIP A bus leaves at 10 A.M. to take students on a field trip to a
k0ka [10]

The bus is 54.5 miles far from the site at the time of 11:30A.M as per the given information in the question.

<h3>What is the slope of a line?</h3>

The slope of a line indicates how steep it is. Slope is defined mathematically as "climb over run" (change in y divided by change in x).

It is assumed that a bus moving at a constant speed departs at 10 a.m. towards a historic location, is 100 miles away by 10:25 a.m., and is 65 miles away at 11:15 a.m.

We must create a point-slope equation that connects the distance from the place to the time in minutes after 10:00 a.m. Then, around 11:30 a.m., we need to figure out how far the bus is from the site.

A line's point-slope is y₂-y₁)=m(x₂-x₁)

Since x denotes the amount of minutes after 10:00 a.m., 10:25 a.m. is represented by x=25 and 11:15 a.m. by x=75.

At 10:25 a.m., a distance of 100 miles from the place is represented by 75.

The point represents a distance of 100 miles from the site at 10:25 a.m. The point represents a distance of 65 miles from the site at 11:15 a.m.

By substituting the points (25, 100) and (75, 65) into the slope formula and simplifying we get,

m=(y₂-y₁)/(x₂-x₁)

m=(65-100)/(75-25)

m=-35/50

m=-0.7

Now choose one of the points and substitute that point and the slope into the slope-point form

y₋y₁=m(x-x₁)

By choosing (x₁, y₁)=(25, 100)

By choosing (x₂, y₂)=(75, 65)

Since 11:30 A,M is 90 minutes after 10:00A.M

By substituting x=90 in the equation we get the value of y,

y-100= -0.7(90-25)

y-100= -0.7(65)

y-100 =-45.5

y= 54.5

Hence, the bus is 54.5 miles from the site at the time of 11:30 A.M

y-100= -0.7(x-25)

OR

y-65= -0.7(x-75)

The bus is 54.5 miles from the site at 11:30A.M.

To know more about slope of a line, visit:

brainly.com/question/28771374

#SPJ9

6 0
1 year ago
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long. She wants to leave a uniform strip of floor aroun
My name is Ann [436]

Answer:

18ft wide and 33 ft long

Step-by-step explanation:

We are told in the question that:

Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.

The Area of the carpeting she must have = 594 ft²

To solve for this, we have:

Length × Width = Area of a rectangle

594ft² = Length × Width

594ft² = (20 - x) (35 - x)

594 = 700 - 20x - 35x + x²

594 = 700 - 55x + x²

Collect like terms

x² - 55x + 700 - 594

x² - 55x + 106

We factorise

x² - 2x - 53x + 106

(x² - 2x) -(53x + 106)

x(x - 2) -53(x - 2)

(x - 2)(x - 53)

x - 2 = 0, x = 2

x - 53 = 0, x = 53

We choose the least value for x

Hence, x = 2

Length = 20 - 2 = 18ft

Width = 35 - 2 = 33ft

The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long

8 0
3 years ago
Find the equation of the line.<br> Use exact numbers.
allochka39001 [22]

Answer:

y = 2/3x+4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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