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2 years ago

The sum of two consecutive numbers is at least 46. What is the least possible pair of integers?

Mathematics

2 answers:

horrorfan [7]2 years ago

5 0

It is supposed to be ccc ppl

Lady bird [3.3K]2 years ago

3 0

x + (x+1) >=46

2x+1 >=46

subtract 1 from each side

2x >= 45

divide by 2

x>= 22.5

x =23

x+1 =24

The two integers are 23 and 24

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3 years ago

A dress needs 3 1/4 yards of fabric to make. If the matching jacket requires 5/6 less yards of fabric. How much fabric is needed

oksian1 [2.3K]

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2 years ago

A bacterium cell splits into 2 cells every hour. Write and evaluate an exponential expression to find how many cells there will

timurjin [86]

Answer:

2^x

64 bacterium

10 hours

Step-by-step explanation:

doubles every hour

if x = hours

2^x

2^x --> 2⁶ = 64

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2 years ago

craig went out to a restaurant for dinner. he tipped 16% of his bill, which brought the sum of the dinner bill plus the tip to $

olga nikolaevna [1]

The total cost was 116% of the original bill;
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5 0

2 years ago

Write an equation for the perpendicular line to the line whose equation is 4y-5x=20 that contains the point (-2,-3)

yuradex [85]

Answer:

4x + 5y = - 23

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 4y - 5x = 20 into this form

add 5x to both sides

4y = 5x + 20 ( divide all terms by 4 )

y = $\frac{5}{4}$ x + 5 ← in slope-intercept form

with slope m = $\frac{5}{4}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ , hence

$m_{perpendicular}$ = - 1 / $\frac{5}{4}$ = - $\frac{4}{5}$

y = - $\frac{4}{5}$ x + c ← is the partial equation

to find c substitute (- 2, - 3) into the partial equation

- 3 = $\frac{8}{5}$ + c ⇒ c = - $\frac{23}{5}$

y = - $\frac{4}{5}$ x - $\frac{23}{5}$ ← in slope-intercept form

multiply all terms by 5

5y = - 4x - 23 ( add 4x to both sides )

4x + 5y = - 23 ← in standard form

7 0

2 years ago