What is the solution set to the inequality m - 7 > -2(m + 0.5)

Answers

Answer 1

The solution set to the inequality is m>2.The correct ray to represent the solution is o---> placed at 2.

Inequality is a statement of order,greater than, less than, greater than or equal to or less than or equal to between two algebraic expression. Inorder to solve an inequality we change the sides of the unknown variable and the constants. We always have to keep in mind the change of sign, if we change sign then we have to change the relation between the two expressions too. Here we have been given an inequality which is

m-7>-2(m+0.5)

In this inequality m is the unknown variable and we have to solve for m,

m-7>-2(m+0.5)

⇒m-7>-2m-1

⇒2m+m>7-1

⇒3m>6

⇒m>2

The solution set to the given inequality is m>2, so the correct ray to represent the solution is o---> placed at 2 on the number line.

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Related Questions

7. Health experts recommend the average female older than 50 years of age to
consume about 1,800 calories per day.
• Mrs. Keith has already consumed 950 calories today.
She plans to consume the same number of calories per hour for
the next 5 hours.
.
Which inequality represents d, the number of calories Mrs. Keith could eat each hour
for the next 5 hours without exceeding her recommended daily caloric intake?

Answers

d ≤ 170 is the inequality I think.

Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip.
How much did they get altogether?

Answers

Answer:

Let Pip get = x

Fiona gets = x + 35

Ratio = 6:1

x+35/x = 6

x + 35 = 6x

5x = 35

x = 7

Total money = x + x + 35 = 14+ 35 = £49

Answer:

£49

Step-by-step explanation:

Fiona gets 35 more than Pip so 6-1 =5 and 5 portions = 35

so 1 portion = 7

7x6 = 42

7x1 =7

7+42 = 49

so they got £49

hope this works :)

Hayley wants to be a marine biologist when she grows up. Her entire room is ocean-themed, so she is painting her bed frame blue to match. She estimates that she will need 800 milliliters of paint, but the hardware store only sells paint in liters. If Hayley buys 1 liter of paint, how many milliliters will she have left?

Answers

Answer:

Hayley will have 200 milliliters of paint left.

Step-by-step explanation:

1 liter=1000 milliliter

1000-800=200

Answer:

305

Step-by-step explanation:

There are 1,000 milliliters in 1 liter.solveYou need to find how many milliliters of blue paint Annie has left. But first, you need to know how many milliliters she started with.There are 1,000 milliliters in a liter, so multiply 0.5 liters by 1,000.0.5×1,000=500Annie started with 500 milliliters of blue paint.Now, add to find how much blue paint Annie used for her beach painting. She used 75 milliliters of blue paint for the sky and 120 milliliters for the ocean.75+120=195Annie used 195 milliliters of blue paint in all.Now, find how much blue paint Annie has left. She started with 500 milliliters. Subtract the 195 milliliters she used.500–195=305Annie has 305 milliliters of blue paint left.

Find car A and car B speed in km/h

Answers

Answer:

72 km/h and 48 km/h

Step-by-step explanation:

Let the speed of the cars be x and y.

When moving in opposite directions, the speeds add up and when moving in the same direction the speeds subtracted.

Convert time from minutes to hour:

4 minutes = 4*1/60 hr = 1/15 hr20 minutes = 20*1/60 hr = 1/3 hr

Opposite direction

(x + y)*1/15 = 8x + y = 8*15x + y = 120

Same direction

(x - y)*1/3 = 8x - y = 8*3x - y = 24

Add up the two equations and find the value of x:

x + y + x - y = 120 + 242x = 144x = 72

Find y:

72 + y = 120y = 120 - 72y = 48

You want your daily sodium intake to be less than 2300 milligrams. For breakfast, you eat a cereal bar with the nutrition label shown. What are the possible amounts of sodium you can eat during the rest of the day? Nutrition Facts Serving Size Servings Per Container Amount Per Serving Calories 120 Total Fat 3g 1 Bar (37g) Calories from Fat 30 % Daily Value* 5% 3% Saturated Fat 0.5g Trans Fat Og Cholesterol Omg Sodium 125mg 0% 5% The possible amounts of sodium you can eat during the rest of the day should be less than mg

Answers

According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,

How to calculate the amount of sodium we can consume?

To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:

2300mg - 125mg = 175mg

According to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).

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someone pls help me w this. I rlly need this!! thank uu!
"write the equation of a line that is parallel to y=2x-3 and passes through the point (1, 6)"

Answers

y=2x+4

Hope this helps :)

The slope of the graph

Answers

-5/4 is the slope. down 5, over 4.

Answer:

5 x + 4 y = 4 b

Step-by-step explanation:

You haven't specified what form you need. Here is the Standard form, but you can also calculate the Slope intercept form points and the Point-Slope form.

Find the equation of the line in standard form with the properties:

slope: m = -5/4

At least two parameters must be provided to determine a line equation:

Since the line is incompletely determined, compute the equation assuming an arbitrary y-intercept b

Substitute the slope m = -5/4 into the slope-intercept equation y = m x + b:

y = -(5 x)/4 + b

Add (5 x)/4 to both sides:

(5 x)/4 + y = b

Multiply both sides by 4:

4 ((5 x)/4 + y) = 4 b

Distribute: 4 ((5 x)/4 + y) = 5 x + 4 y:

Answer: 5 x + 4 y = 4 b

1.) The weight of the tea in 100 identical tea bags is 8 ounces. What is the weight, in ounces, of the tea in 3 tea bags? Show your work.

Answers

Answer:

0.24 ounces for 3 teabags.

Step-by-step explanation:

Since this is a 1 digit number, we should find out how much each teabag weighs. We can do this by dividing 8 by 100, which gives us 0.08.

Now we can multiply that by 3, which gives us 0.24, so 3 teabags are 0.24 ounces.

x^2y(7xy^4)

helppppp

Answers

The answer is X^14xy^5

f(x) = -2x + 10, If f(x)= 40, what is the value of x? (find the input)

Answers

Answer:

-15

Step-by-step explanation:

set it up

f(40)=-2x+10

40=-2x+10

subtract ten

30=-2x

divide by -2 to isolate the x

-15=x

Answer:

f(x) = -2x + 10

If f(x)= 40

By using equation,

or, 40=-2x+10

or, 40-10=-2x

or, 30=-2x

or, 30/-2=x

Therefore x=-15

gerber product's gerber mixed cereal for baby contains, in each serving, 60 calories and 11 grams of carbohydrates.† gerber mango tropical fruit dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.† if you want to provide your child with 300 calories and 74 grams of carbohydrates, how many servings of each should you use? gerber mixed cereal for baby serving(s) gerber mango tropical fruit dessert serving(s)

Answers

Number of servings of Gerber mixed cereal for baby = 1

Number of servings of Gerber mango tropical fruit dessert for baby = 3

Given information about Gerber products are,

Gerber mixed cereal for baby contains, in each serving, 60 calories and 11 grams of carbohydrates.

Gerber mango tropical fruit dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.

We have to find the number of servings of each to provide exactly 300 calories and 74 grams of Carbohydrates. So we need to find the appropriate combination of numbers 60 and 80 to make 300 and combinations of 11 and 21 to get 74.

Since 1 x 60 + 3 x 80 = 60 +240 = 300

and 1 x 11 + 3 x 21 = 11 + 63 = 74 ,

we can conclude that 1 serving of Gerber mixed cereal and 3 servings of Gerber mango tropical fruit dessert will do.

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a janitor had 3/5 of a spray bottle of a cleaning solution . he used 1/9 of the soloution in a day. how much of the bottle did he use?

Answers

The Janitor used 8/15 of the bottle

How to calculate the amount of the solution of the bottle used ?

The Janitor has 3/5 of a spray bottle solution

He uses 1/9 of the solution in a day

The amount of solution used can be calculated as follows

3/5 × 1/9

= 3/45

= 1/15

The initial amount in the bottle is

3/5 - 1/15

= 8/15

Hence the amount of solution he has used is 8/15

Answers

I think the answer is 5

Answer:

10 days

Step-by-step explanation:

60/50×12 give u the number of days it will last them

Factor completely.
100-9x^2=

please help!!

Answers

Answer:

(10 + 3x) (10 - 3x)

Hope this helps!

Find the slope of the line through the
points (16,7) and (−14, 3).

Answers

Answer:

2/15

Step-by-step explanation:

Slope: m=(y2-y1)/(x2-x1)

m = (3 - 7)/(-14 - 16) = (-4)/(-30) = 4/30 = 2/15

perform the indicated operation and simplify the result leave yuour answer in factored form 4x/x2 - 1

Answers

The simplified result is :

[tex]4x/x^{2}[/tex] - 1

= 4/x -1

4-x / x.

Factored form, the product of a constant and two linear terms: or. The parameters and are the roots of the function (the x-intercepts of the graph). Converting a quadratic function to factored form is called factoring.

An example for a quadratic function in factored form is y=½(x-6)(x+2). We can analyze this form to find the x-intercepts of the graph, as well as find the vertex.

In algebra, simplifying and factoring expressions are opposite processes. Simplifying an expression often means removing a pair of parentheses; factoring an expression often means applying them.

To know more about "Factored Form"

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The graph below shows the distance a helicopter traveled over time. Find the rate of change from 1 hour to 2 hours.

Answers

The rate of change from 1 hour to 2 hours will be 125 miles per hour. Option C is correct.

What is linear equation?

A relationship between two or more parameters that, shown on a graph, produces a linear model. The degree of the variable will be one.

Given that;

Two points on the graph are (1, 125) and (2, 250).

Now, The slope of the line is calculated as;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Hence, Slope of the line passes through the points (1, 125) and (2, 250).

m = (250 - 125) / (2 - 1)

m = 125

So, The rate of change from 1 hour to 2 hours will be 125 miles per hour.

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5/6 x -4 1/2 x -2 1/5
Find the product. Write your answer as a fraction in simplest form.

Answers

Answer:

8 1/4 or 33/4

Step-by-step explanation:

How to muliply fractions: just multiply all the denominators together and the numerators together

However, if your mulitplying whole numbers, you have to change those into improper fractions using the formula: Whole number x denomiator + numerator

**Make sure to put the same numerator as you had before when you change to an improper fraction!!!

-4 1/2 = -9/2

-2 1/5 = -11/5

5 -9 -11 5 x -9 x -11 -45 x -11 (use a calculator) 495

-- x -- x --- = --------------- = ------------- = ------------

6 2 5 6 x 2 x 5 12 x 5 60

1 33

= 8.25 or 8 ---- = --------

4 4

What is the percentage efficiency of a motor that does 60J of work from 240J of electrical energy?

Answers

Answer:

25% is the correct answer

Chelsea and nine of her friends went out to eat. They decided to split the bill evenly. Each person paid $21.00. What equation would depict this scenario

Answers

Answer:

21(10)

Step-by-step explanation:

youll have to do 21 times 10

Answer:

[tex]\frac{210.00}{10}[/tex] = x

Step-by-step explanation:

[tex]\frac{210.00}{10}[/tex] = x

Let x is the number that each person needs to pay.

please help

see attached picture

Answers

Answer:

See Explanation

Step-by-step explanation:

For cement block:

Given is a square cement block, thus, it's width and height would be equal.

-> length (l)= h, width (w)= 2x, height (h) = 2x

[tex]V_{cement \: block} = lwh[/tex]

[tex]\implies V_{cement \: block} = h(2x)(2x)[/tex]

[tex]\implies V_{cement \: block} = 4x^2h.....(1)[/tex]

For cylinder:

Radius (r) = 2x/2 = x, height (h) = h

[tex]V_{cylinder} = \pi r^2 h[/tex]

[tex]\implies V_{cylinder} = \pi x^2 h.....(2)[/tex]

Subtract (2) from (1), we find:

[tex]V_{cement \: block}-V_{cylinder} = 4x^2h- \pi x^2 h[/tex]

[tex] V(cement \: block\: without\: cylinder)= x^2h(4- \pi)[/tex]

Thus proved

To solve 6.2.1 and 6.2.2 plug the given values in [tex]x^2h(4- \pi)[/tex] and calculate.

Find m A
2x
C
(3x - 10)
D
E
B

Answers

Answer:

∠ABC = 40

∠CBC = 50

Step-by-step explanation:

∠ABC + ∠CBD = 90

2x + (3x - 10) = 90

2x + 3x - 10 = 90

5x = 100

x = 20

∠ABC = 2x = 2(20) = 40

∠CBC = 3x - 10 = 3(20) - 10 = 50

Leila wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are feet. Suppose each can of paint will cover square feet. How many cans will she need to paint the ceiling?

Answers

Answer: Find the square roots and the multiply that by 4

Step-by-step explanation:

hope this helped

Carla earned a total of $84 for 7 hours of babysitting. After a total of 8 hours of babysitting, how much money will Carla have earned? Assume the relationship is directly proportional.

Answers

Assuming this relationship is directly proportional, we know there is a unit rate. Since we know Carla earns $84 for 7 hours of babysitting, we can find the unit rate through division:

$84 earned / 7 hours = $12 per hour

We now know Carla earns $12 per hour. Given this information, we can multiply the unit rate by 8 hours to identify how much money Carla will have earned after 8 hours:

$12 per hour • 8 hours of babysitting = $96 after 8 hours

Final answer: After a total of 8 hours of babysitting, Carla will have earned $96.

Lock 4 (screen will be blank until you crack the code for lock #3) Awe-sum! You have reached the last lock. Use your equation solving skills to find the value of each variable. Use the values you calculate to help you move along in the puzzle and find all of the missing variables. When you have found all of the variables Imove to the next screen.

Problems:
4a +2= -10
a(2+ b) = -12
-5c+b= 22
7(c+d) = 14
d-c-e= 17

Answers:
a=
b=
c=
d=
e=

Answers

The values of the variables are:

a = -3

b = 2

c = -4

d = 6

e = -7

Given, the expressions are:

4a + 2 = -10

4a = -10-2

4a = -12

a = -3

substitute a value in the next expression.

a(2+b) = -12

-3(2+b) = -12

-6-3b = -12

-3b = -12+6

-3b = -6

b=6/3

b = 2

now substitute b value in the next expression.

-5c+b= 22

-5c+2 = 22

-5c = 22-2

-5c = 20

c = -20/5

c = -4

substitute c value in the next expression.

7(c+d) = 14

7(-4+d) = 14

-28+7d = 14

7d = 14+28

7d = 42

d=42/7

d=6

In the last expression substitute c and d values to find e.

d-c-e= 17

6-(-4)-e = 17

6+4-e = 17

10-e = 17

-e = 17-10

-e = 7

e = -7

hence we get the values of all the variables.

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A piece of machinery depreciates at a fixed rate of 12% per year for 7 years. If the machinery is valued at $100,000 after 7 years, how much would the machinery have initially cost rounded to the nearest dollar?
a.
$113,636
d.
$45,235
b.
$40,868
e.
$244,692.86
c.
$244,693

Answers

The price the machinery have initially cost rounded to the nearest dollar is $244,693

Exponential equation

The formula for calculating depreciation is expressed according to the formula:

P(t) = P0e^-rt

Given the following parameters

P(t) = $100,000

rate = 12% = 0.12

time =7 years

Substitute

100,000 = P0e^-(0.12)(7)

100000 = P0e^0.84
P0 = 100000/e^0.84
P0 = $244,693

Hence the price the machinery have initially cost rounded to the nearest dollar is $244,693

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What did Raya do wrong? Use complete sentences to describe her mistake.

Answers

During evaluation, Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

How to Evaluate an Expression?

Given the expression, a³ - b³ / 5, where:

a = 2

b = -3

Substitute the values into the expression

Step 1: (2)³ - (-3)³ / 5

Evaluate

Step 2: 8 - (-27) / 5 (this is where Raya made a mistake, she had -9 instead of -27)

Step 3: 8 + 27/5

Step 4: 35/5 [addition]

Simplify

Step 5: 35/5 = 5 [division]

Thus, we can state that Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

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4. A regular pentagon has side lengths given below. Find the length of one side.
4q+1 = 11-q
r+s
s+t-1
3r
a) 9
b) 4
c) 3
d) 2

Answers

Answer:

d)2

Step-by-step explanation:

you would group-like terms and so

4q+q=11-1

5q=10(you would let q stand on it own)

so you divide through by 5

5q/5=10/5

q=2

This table represents function f. If function g is a quadratic function that contains the points and , which statement is true over the interval ? A. The average rates of change of f and g cannot be determined from the given information. B. The average rate of change of f is less than the average rate of change of g. C. The average rate of change of f is the same as the average rate of change of g. D. The average rate of change of f is more than the average rate of change of g.

Answers

If function g is a quadratic function that contains the points (-3, 5) and (0, 14), the statement which is true over the interval [-3, 0] is: B. The average rate of change of f is less than the average rate of change of g.

What is an average rate of change?

An average rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity changes (decreases or increases) with respect to another quantity, over a given interval.

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this formula:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of function f over the interval [-3, 0]:

a = -3; f(a) = -4.5

b = 0; f(b) = 0

Substituting the given parameters into the formula, we have;

Average rate of change = (0 - (-4.5))/(0 - (-3))

Average rate of change = 4.5/3

Average rate of change = 1.5.

Also, we would determine the average rate of change of function g over the interval [-3, 0]:

a = -3; f(a) = 5

b = 0; f(b) = 14

Substituting the given parameters into the formula, we have;

Average rate of change = (14 - 5)/(0 - (-3))

Average rate of change = 9/3

Average rate of change = 3.

In conclusion, the average rate of change of function f is less than the average rate of change of function g.

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Answer:

The average rate of change of f is less than the average rate of change of g.

Step-by-step explanation:

Plato/Edmentum

− 2/ 3 is a/an . (check all that applies.) \sqrt{5} 5 is a/an . (check all that applies.) natural number integer rational number real number irrational number

Answers

The -2/3 is an integer and rational number.

It is required to choose the number.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

-2/3 is an integer and rational number.

The square root of 25 is 5 is an Natural numbers, whole number, integer, and rational number.

Natural numbers are positive whole numbers (1, 2, 3, 4, 5, ...)

Whole numbers are positive numbers start with zero (0, 1, 2, 3,...)

Integers are positive and negative whole numbers or zero (..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...)

Rational numbers include all integers as well as positive or negative numbers that have fractional parts ( -2.0, -3/4, 0.25, 2.1, 5, etc.)

Irrational numbers are numbers that can not be written as a simple fraction. Its decimal goes on forever without repeating (π = 3.14159....)

5 is a natural number, whole number, integer, and rational number.

Therefore, the -2/3 is an integer and rational number.

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