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ArbitrLikvidat [17]
2 years ago
15

Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the

inequality –2(5 – 4x) < 6x – 4?
Mathematics
2 answers:
Tamiku [17]2 years ago
8 0

Given:

The inequality is

-10+8x

To find:

The missing step in solving the given inequality.

Solution:

Step 1: The given equation.

-10+8x

Step 2: Subtract 8x from both sides.

-10+8x-8x

-10

Step 3: Add 4 on both sides.

-10+4

-6

Step 4: Divide both sides by -2 and change the sign of inequity as we divide the inequality by a negative number.

\dfrac{-6}{-2}>\dfrac{-2x}{-2}

3>x

Therefore, the missing step is 3>x.

eduard2 years ago
8 0

Answer:

<h2>c. x<3</h2>

Step-by-step explanation:

on edg. :)

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A teacher needs 70 lengths of string cut to 40cm each. If balls of string are 10 m long, how many balls will be needed.
Genrish500 [490]

Answer:

3

Step-by-step explanation:

A ball is 10 meters. Since 100 centimeters are in a meter, each ball has 100*10 = 1000 centimeters.

The teacher needs 70 strings each 40 centimeters. The total amount they need is 70*40 = 2800 centimeters.

Since a ball has 1000 centimeters, 2800 centimeters will need 3 balls for a total of 3000 centimeters.

5 0
2 years ago
On Tuesday at 2 p.m., the ocean’s surface at the beach was at an elevation of 2.2 feet. Winston’s house is at an elevation of 12
bekas [8.4K]
A) The elevation of Tammy's house is 42.35 feet.

6 0
2 years ago
I WILL AWARD BRAINLIEST!! PLEASE HELP!!
bezimeni [28]

Answer:

Part 1) A(57/7,9),B(4,16/5), m=7/5

Part 2) A(-7,6),B(9,-6/7), m=-3/7  

Part 3) A(80/3,9),B(5,2.5), m=0.3  

Part 4)  A(-10/63,1/3),B(2/3,-22/90), m=-0.7

Part 5)  A(-1/5,7),B(8,48), m=5

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

Part 1) we have

7x-5y=12

step 1

Find the slope  

7x-5y=12

isolate the variable y

y=(7/5)x-(12/5)

so

the slope is m=(7/5)

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

9=(7/5)x-(12/5)

(7/5)x=9+(12/5)

(7/5)x=(57/5)

x=(57/7)

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=(7/5)(4)-(12/5)

y=(28/5)-(12/5)

y=(16/5)  

Part 2) we have

y=-(3/7)x+3

step 1

Find the slope  

the slope is m=-(3/7)

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

6=-(3/7)x+3

(3/7)x=3-6

(3/7)x=-3

x=-7

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=-(3/7)(9)+3  

y=-(27/7)+3  

y=-(6/7)  

Part 3) we have

y=0.3x+1

step 1

Find the slope  

the slope is m=0.3

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

9=0.3x+1

0.3x=9-1

0.3x=8

x=80/3

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=0.3(5)+1

y=2.5

Part 4) we have

6.3x+9y=2

step 1

Find the slope  

6.3x+9y=2

isolate the variable y

y=-(0.7)x+(2/9)

so

the slope is m=-0.7

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

(1/3)=-(0.7)x+(2/9)

 (0.7)x=(2/9)-(1/3)

 (0.7)x=(2/9)-(1/3)

 (0.7)x=-(1/9)  

 x=-(10/63)  

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=-(0.7)(2/3)+(2/9)

y=-(14/30)+(2/9)

y=-(22/90)  

Part 5) we have

y-5x=8

step 1

Find the slope  

y-5x=8  ------->  y=5x+8

the slope is m=5

step 2

Find the missing coordinate of point A

To find the x-coordinate of point A substitute the value of y-coordinate in the equation

7=5x+8

5x=7-8

x=-1/5

step 3

Find the missing coordinate of point B

To find the y-coordinate of point B substitute the value of x-coordinate in the equation

y=5(8)+8

y=48

6 0
2 years ago
A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour.If this velocit
AveGali [126]

Answer:

64.3 miles ( D)

Step-by-step explanation:

Circular orbit height ( from the center of the earth ) = 100 mile

angle between satellite and earth = 50°

escape velocity = √2 * 17500 =  24748.73 miles /hour

distance between surface of earth and satellite

x = cos ∅

∴ Cos ∅  = x / 100

x = cos 50° * 100   ≈ 64.3 miles

3 0
2 years ago
Find the product: (30 gallons 3 quarts 1 pint) × 5
SpyIntel [72]
30 gallons * 5 = 150 gallons

3 quarts * 5 = 15 quarts 

1 pint * 5 = 5 pints

Four quarts in a gallon: 15/4 = 3 gallons, 2 quarts

2 pints in a quart: 5/2 = 2 quarts, 1 pint

2 quarts + 2 quarts = 1 gallon

150 + 3 + 1 gallons + 1 pint = 153 gallons, 1 pint.
4 0
2 years ago
Read 2 more answers
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