write an inequality that represents 10 less than four times a number is more than 1000

Answers

Answer 1

Answer:


Step-by-step explanation:

Unknown number be 'x'

4x-10>1000

Answer 2

An inequality representing '10 less than four times a number is more than 1000' is written as 4x - 10 > 1000. We rearrange the inequality to solve for x, resulting in x > 252.5, indicating that four times any number greater than 252.5, minus 10, will be more than 1000.

To write an inequality that represents "10 less than four times a number is more than 1000," we need to use an inequality symbol to show the relationship between the expressions involved. The number we are considering can be represented by a variable, typically denoted as x. So, four times a number would be written as 4x. Following this, 10 less than four times a number is expressed as 4x - 10. Now, stating that this quantity is more than 1000, we use the > sign, leading to the inequality 4x - 10 > 1000. To solve this inequality, we can rearrange the terms to isolate x, resulting in the following steps:

Add 10 to both sides: 4x - 10 + 10 > 1000 + 10Simplify the inequality: 4x > 1010Divide by 4 to solve for x: x > 1010/4Thus, the solution to the inequality is x > 252.5

This inequality represents that any number greater than 252.5, when multiplied by four and reduced by 10, will result in a value more than 1000.


Related Questions

a math club earns $2,080 from selling 62 floor seats and 120 Stadium seats to a lip sync Talent competition at the floor seats cost twice as much as Stadium seats find the price of each ticket

Answers

Answer:

Price of floor seat =$ 17 and

Price of stadium seats = $8.5

Step-by-step explanation:

Let x represents the cost of floor seats and y represents the cost of stadium seats.

Then, from the given condition, we have;

Total cost for selling floor seats =  62x  and the total cost for stadium seats = 120y.

Since, a math club earn $2,080.

62x + 120y = 2080                         .....[1]

Also, it is given that the floor seats cost twice as much as Stadium seats.

⇒ x = 2y                                               .....[2]

Substitute this equation [2] in [1] we get;

[tex]62(2y) + 120y = 2080[/tex]

Simplify:

124y + 120y =2080

Combine like terms;

244y =2080

Divide both sides by 144 we get;

[tex]y = \frac{2080}{144} = 8.5[/tex]

y = $8.5

Substitute this in [2] we get x;

x = 2(8.5) = 17

i.e, x = $ 17

Therefore, the price of floor seat is, $ 17 and the price of stadium seats is, $8.5


This table represents a function. Plot points to represent the function as a graph.
X Y
-4 10
0 8
4 6
10 3

Answers

Answer:

it says it already a function so your just plotting (-4,10) (0,8) (4,6) (10,3) on a graph, there isnt a graph to do it for you. Sorry if im reading this wrong :(

Step-by-step explanation:


Answer:

The points represent a linear function (first-order polynomial).

Step-by-step explanation:

The points are included in the attached image, which depicts a constant slope and, consequently, represents a linear function (first-order polynomial).

can someone please help me look for x and y, in the equations
2x= 4y-16
2x- y=-7

Answers

Answer:

y = 3 and x = -2  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Solve for y                                                  

4y - 2x = 16

-y + 2x = -7

3y    =  9

y = 9 ÷ 3

y = 3

Input y to find x

2x = 4(3) - 16

2x = 12 - 16

2x = -4

x = -4 ÷ 2

x = -2

Input both x and y to see if it works

2(-2) = 4(3) - 16                                2(-2) - 3 = -7

-4 = 12 -16                                         -4 -3 = -7

-4 = -4                                                 -7 = -7

The solution to the system of equations is [tex]x = -2[/tex] and [tex]y = 3[/tex].

To solve the system of equations given by

[tex]2x = 4y - 16[/tex][tex]2x - y = -7[/tex]

Here is a step-by-step guide on how to solve for [tex]x[/tex] and [tex]y[/tex].

Step 1: Simplify the first equation

Start by rearranging the first equation to express it in terms of one variable. We can isolate [tex]y[/tex]:

[tex]2x = 4y - 16[/tex]
[tex]4y = 2x + 16[/tex]
[tex]y = \frac{2x + 16}{4}[/tex]
[tex]y = \frac{x}{2} + 4[/tex]

Step 2: Substitute [tex]y[/tex] in the second equation

Now, we can substitute [tex]y[/tex] in the second equation:

[tex]2x - \left(\frac{x}{2} + 4\right) = -7[/tex]

Step 3: Solve for [tex]x[/tex]

Distributing the negative and simplifying:

[tex]2x - \frac{x}{2} - 4 = -7[/tex]

Multiply every term by 2 to eliminate the fraction:

[tex]4x - x - 8 = -14[/tex]

This simplifies to:

[tex]3x - 8 = -14[/tex]
[tex]3x = -14 + 8[/tex]
[tex]3x = -6[/tex]
[tex]x = -2[/tex]

Step 4: Substitute [tex]x[/tex] back to solve for [tex]y[/tex]

Now substitute [tex]x = -2[/tex] back into the equation for [tex]y[/tex]:

[tex]y = \frac{-2}{2} + 4[/tex]
[tex]y = -1 + 4[/tex]
[tex]y = 3[/tex]

Chapman wants to purchase a gift for his mother that cost 55.75. If he has already saved 2/5 of this amount, how much money does Chapman saved

Answers

Answer:

$22.30

Step-by-step explanation:


To determine how much money Chapman saved from purchasing a gift for his mother, calculate 2/5 of $55.75, which equals $22.30.

To find how much money Chapman saved:

Calculate 2/5 of $55.75: (2/5) x $55.75 = $22.30

Therefore, Chapman saved $22.30

Given the height,h, and the volume v of a certain cylinder. Alex uses the formula
r= √v/πh to compute its radius r, to be 10 meters.

A second cylinder has the same volume as the first cylinder, but it is 25 times taller. What is the radius of the second cylinder?

Answers

Answer:

A = 2/5

Step-by-step explanation:

r = sqrt(v) / (pi*h)

10 = sqrt(v) /(pi * h)

Solve for the volume by multiplying by pi * h on each side

10 * pi * h = sqrt(v)

Now square each side

(10*pi* h) ^2 = v


Now we have a second cylinder with a height that is 25 times the height of the other cylinder  but the same volume.  Solving for volume, we will multiply by

r = sqrt(v) / (pi*h)

r = sqrt(v) /(pi *25h)

r* pi * 25h = sqrt(v)

Now square each side

(r*pi*25h) ^2 = (sqrtv) ^2

(r*pi*25h)^2 = v

The problem states the the 2 cylinders have the same volume

(10 * pi * h) ^2 =  ( r * pi * 25h) ^2

Take the square root of each side

10*pi*h = r*pi * 25h

Divide each side by pi and h

10 = 25r

Divide by 25

10/25 =r

2/5 =r

19. Describe how the graphs of y = |x| and y = |x + 5| are related. (1 point)
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
5.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
–5.
The two graphs are the same.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the x-intercept of the second graph is
5.

Answers

Answer:

The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is  5.

Step-by-step explanation:

When we add the 5 inside the absolute value, we shift the graph to the left 5 units.   The y intercept  of abs (x) is 0 and the y intercept of y = abs(x+5) is 5 .  The x intercept of  y =abs (x) is 0 and the x intercept of y =abs(x+5) is -5.  The graph has the same shape

A pole has a shadow that is 15 feet long.Mary is 4 feet tall and her shadow is 10 feet tall.how tall is the pole? ☹

ASAP
PLEASE HELP!
ANYONE HELP
ASAP
FAST

Answers

Answer:

The pole is 6 ft tall

Step-by-step explanation:

We can solve this using ratio's


4ft tall Mary        x ft tall  pole

-----------        =     -------------------

10 ft shadow      15 ft shadow


Using cross products

4 * 15 = 10 x

60 = 10x

Divide by 10

60/10 = 10x/10

6 =x

The pole is 6 ft tall

Answer:

it is 6 feet

Step-by-step explanation:

i dont have much of an explaination except that you have to draw a diagram inorder not tom get confused.

hope it helps.

An amusement park sold a total of 86 tickets. 34 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?

Answers

Think of a ratio as a fraction. A ratio is basically another form of a fraction, and vice versa.

There are three ways that a ratio can be shown:

1:4

1 to 4
[tex] \frac{1}{4} [/tex]

Let's look at the problem.

We know that:

There were 86 tickets sold in total.

34 of the tickets sold were child tickets.

Let's look at the question now.

It is asking for the ratio of the number of adult tickets to the total number of tickets.

We already know that there are 86 tickets in total.

We can simplify the question.

Now the question looks like: What is the ratio of the number of adult tickets to 86 tickets?

Since ratio doesn't require units, we can change the question to: What is the ratio of the number of adult tickets to 86?

Now, we don't know the number of adult tickets...yet.

We do know, however, that 34 of the tickets sold were child tickets, and that 86 tickets were sold in total.

To find out the number of adult tickets sold, we can simply subtract 86 (total amount of tickets sold), by 34 (# of child tickets sold).

86 - 34 = 52

Now, we know that 52 adult tickets were sold, and that 86 tickets were sold in total.

All that's left to do is to put the information together.

The question is: What is the ratio of the number of adult tickets to 86?

Or

What is the ratio of 52 (# of adult tickets sold) to 86?

Now, remember that ratio can be written in 3 ways. One of the ways is to use "to" between the two numbers being compared.

The problem is basically stating: 52 to 86

The ratio of the number of adult tickets to the total number of tickets is 52 to 86, or 52:86, or
[tex] \frac{52}{86} [/tex]
Wait. We can simplify the ratio. Remember that fractions can be simplified?

Both 52 and 86's GCF...

{Greatest Common Factor (the number by which two quantities (numbers) can be divided equally) }

...is two.

So,
[tex] \frac{52}{86} = \frac{26}{43} [/tex]
The final answer would be: The ratio of the number of adult tickets to the total number of tickets is 26 to 43, 26:43, or
[tex] \frac{26}{43} [/tex]
.


NOTE: If you want more practice, try to answer these questions. They're basically the same as the one you posted, but with different numbers and subjects. If you need more help, or want the answer to the questions, feel free to message me. Have a good day! :)

1.) The Carter family owns a total of 16 fishes. Peter owns 8 fishes, and his sister, Emma, owns the rest. What is the ratio of the number of fishes that Emma owns to the total number of fishes owned by the Carter family in its simplest form?

2.) Sarah and her friends ordered a small pizza with 12 slices. One of Sarah's friends, Marco, ate 5 slices, while the others ate the rest. What is the ratio of the number of slices that Marco ate to the total number of slices eaten by Sarah and her friends in its simplest form?

Answer:

51,400 thats my answer hope it helps!

What is 1 1/4 + 1 1/8?

Answers

Answer:

2 3/8

Step-by-step explanation:

1 1/4 + 1 1/8

We need to get a common denominator to add the fractions.  The common denominator is 8

1 1/4 *2/2  + 1 1/8

1 2/8 + 1 1/8

2 3/8

2 3/8 is your answer
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homepage 10

Eight less than 5 times a number is 48 less than the number. Find the number.

Answers

Answer:

-10

Step-by-step explanation:

Write out the equation

5n-8=n-48

move like terms to the same side

4n=-40

divide 4n and 4 by 4 to get n by itself.

n=-10

The number is -10.

What is equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given,

Eight less than 5 times a number is 48 less than the number

Let the number be x

then statement can be written as

5x - 8 = x - 48

5x - x = - 48 + 8

4x = -40

x = 40/4

x = -10

Hence, -10 is the number.

Learn more about equation here:

brainly.com/question/1529522

#SPJ6

if you know 72=9×8,then _is_times as many as_

Answers

Answer:

72 is 8 times as many as 9

Step-by-step explanation:

72 is the product of 8 groups of nine

72 is 9 times as many as 8 is the answer that completes the statement.

To solve the equation 72 = q × 8, we need to find the value of q.

By dividing both sides by 8, we get:

72/8 = q × 8/8

q = 72/8

q = 9.

This means that 72 is 9 times greater than 8 and to correctly complete the statement, we write: 72 is 9 times as many as 8.

jason eat 1/4 of the whole pizza for dinner write a fraction that reprents the amount of pizza that is remaining after dinner

Answers

Answer:

3/4

Step-by-step explanation:

- He ate 1/4

- 4-1=3

- 3/4 of the pizza is left

Final answer:

The fraction representing the remaining pizza after Jason ate 1/4 of it is 3/4. We calculate this by subtracting the portion Jason ate (1/4) from the whole (4/4).

Explanation:

If Jason ate 1/4 of the whole pizza for dinner, we can easily calculate the fraction that represents the amount of pizza remaining. To find out the remaining portion of the pizza, we subtract the portion Jason ate from the whole. Since the whole is considered to be 1 (or 4/4 in this case, as there are four quarters in a whole), we subtract 1/4 from 4/4:

Remaining pizza = Whole pizza - Portion eaten by Jason

Remaining pizza = 4/4 - 1/4

Remaining pizza = (4 - 1)/4

Remaining pizza = 3/4

Therefore, the fraction that represents the remaining pizza after Jason has eaten is 3/4.

If you have a two- digit divisor and a three- digit dividend, does the quotient always have the same number of digits? Please help ASAP!!!

Answers

The answer to your question is no

Use the Counting Principle to find the probability of rolling a 4 on each of 3 number cubes

Answers

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.

We know the probability of rolling a 4 on one cube will be [tex]\frac{1}{6}[/tex]. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be [tex]\frac{1}{6}[/tex].

But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is [tex]\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}[/tex] which simplifies to [tex]\frac{1}{216}[/tex].

Michael and Imani go out to eat for lunch.

Part A
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?
Part B
If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?

Answers

Answer:

Part A: $27.32

Part B: $32.24

Step-by-step explanation:

Part A:

$25.30 is the cost, since we are increasing it by the 8% meals tax, we are going to do 25.3 * the decimal form of 8%, or 0.08, plus one so that we already have our 25.3 factored in. Which equals 25.3 * 1.08, which equals 27.324, which we round to $27.32.

Part B:

We take our $27.32 and we times it by 1.18 for the reason stated above, which equals 32.2376, which is rounded to $32.24.

A. The bill would be $27.32, plus tax

Explanation:
1. We need to find 8% of 25.30
2. To do so, we need to cross multiply
3. 25.30/100 = x/8 (percents on the bottom, price on the top)
-multiply 25.30 by 8 to get 202.4
-divide 202.4 by 100 to get 2.024
4. Add the two together!
-25.30 plus 2.024 is is 27.32 (rounded)


B. The total cost of lunch would be $32.24 (plus tax and tip)

Explanation:
1. We need to find 18% of 27.32
2. To do so, we need to cross multiply
3. 27.32/100 = x/18
-multiply 27.32 by 18 to get 491.76
-divide 491.76 by 100 to get 4.9176
4. Add 4.9176 and 27.32 to get 32.24 (rounded)



Hope this helps!

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?

Answers

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  

BOLD number are multiples of 4 or 6

4 out of the 15 numbers are a multiple of either 4 or 6,

so the probablilty would be 4/15 or a 26.6% chance.

The probability that the result is a multiple of 6 or a multiple of 4 is 4 /15.

The spinner has 15 equal areas numbered 1 through 15.

If the spinner is spun one time the probability of getting a multiple of 6 or a multiple of 4 can be calculated below;

The numbered side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15.

multiple of 6 are 6 and 12.

multiple of 4 are 4, 8 and 12

union of the set = 4, 6, 8, 12

number of acceptable value = 4

The probability of getting a multiple of 6 or a multiple of 4 = number of acceptable value / number of possible value

probability of getting a multiple of 6 or a multiple of 4 = 4 / 15 = 4 / 15

learn more: https://brainly.com/question/19217522?referrer=searchResults

PLEASE ANSWER 30 POINTS!
To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. How many deer are in the forest?

Answers

Answer:

2520

Step-by-step explanation:

There are 405 deer per 45 tags.

The ranger tagged 280 deer.

No. of deer = 280 × 405/25

No. of deer = 280 × 9

No. of deer = 2520 deer

There are 2520 deer in the forest

Answer:

Total deers in the forest is 640

Step-by-step explanation:

Since the Number of tagged deer is 280

the number of caught deer is 405 after all tagged deers were released

Surprisingly 45 of 280 of tagged deer was found hence the remaining tagged deer has exscaped in to the forest

The number of deers in the forest is

405-45+250=640

The remaining tagged deer that did not return is

280-45= 235

what is definition of equivalent fractions

Answers

Equivalent fractions are different fractions that name the same number. Equivalent fractions may look different, but they have the same value.

Equivalent fractions are fractions that are equal to each other.

So they might have different denominators

and different numerators but they're

going to be equal fractions.

Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of hours, which expression would NOT show their total combined earning

Answers

To answer this we would need the expressions given.

After a 15% off sale, a pair of Levi jeans were $11.50. How much was the original price of the Levi jeans?

Answers

11.50×15%=1.725 that is the answer

a) 1
b) -20
c) 20
d) 7

Answers

[tex]f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}[/tex]

I just need the answers for 10 and 12

Answers

Answer:

10.) y = -5x + 7

12.) y = 3/2x - 8

Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.

10.)

2 = -5(1) + b.

2 = -5 +b

b = 7

therefore...

y = -5x + 7


12.)

2(-5) = 3(2) + b

-10 = 6 + b

b = -16

therefore...

2y = 3x - 16

simplified:

y = 3/2x - 8



What is the algebraic expression of 4n+3=11

Answers

Answer:

n=2

Step-by-step explanation:

I am assuming that you want to solve this algebraic equation

4n+3 =11

Subtract 3 from both sides

4n+3-3=11-3

4n =8

Divide each side by 4

4n/4 = 8/4

n =2

double d, then divide 9 by the result

Answers

Doubling d is two times d: 2d
Divide 9 by the result (2d): 9/2d

Answer: 9/2d (with 2d in the Denominator)

what number multipled by its self equals 3600

Answers

Answer: The answer is 60.


Step-by-step explanation: To determine this, we need to square root the number in question. In this case, that’s 3600.

The square root of 36 is 6, so the square root of 3600 is 60, following the rules of zeros.

I hope this helps!


What is y=-2/9x+3 written in standard form using integers.

Answers

2x+9y=27 (answer has to be 20 characters)


[tex] {x}^{2} = \frac{121}{196} [/tex]

Answers

[tex]x^2=\dfrac{121}{196}\iff x=\pm\sqrt{\dfrac{121}{196}}\\\\x=-\dfrac{\sqrt{121}}{\sqrt{196}}\ \vee\ x=\dfrac{\sqrt{121}}{\sqrt{196}}\\\\\boxed{x=-\dfrac{11}{14}\ \vee\ x=\dfrac{11}{14}}\\\\\sqrt{a}=b\iff b^2=a\\\\\sqrt{121}=11\ \text{because}\ 11^2=121\\\\\sqrt{196}=14\ \text{because}\ 14^2=196[/tex]

Find the correct solution graph for inequality?

Answers

Heya!!!


Answer is option D.

SOLUTION:

-6x>42
6x <-42 (sign of inequality changes with change in negative sign)

x <-42/6
x <-7

Here, inequality shows that value of x must be less than -7 (not including -7).


Hope it helps *_*





-6x > 42

When you divide an inequality by a negative the sign flips

x < -7

The last option shows this as it shows all numbers less than 7 with an open circle indicating not equal to 7.

To convert 3 square feet to square centimeters, multiply 3 by 9.29 × 10-2
True
False

Answers

Final answer:

To convert 3 square feet to square centimeters, multiply by the correct conversion factor of 9.29 × 10⁻².

Explanation:

To convert square feet to square centimeters, you need to understand the conversion factor between these two units. Since 1 foot is equal to 30.48 centimeters and area is defined as the product of the two dimensions, you need to square the conversion factor of 30.48 to convert square feet to square centimeters.

So, the correct conversion factor is (30.48 cm/1 ft)².

To convert 3 square feet to square centimeters, you can use the conversion factor as follows:

(3 ft²) × (30.48 cm/1 ft)² = 274.32 cm²

Therefore, the statement is True as multiplying 3 by the correct conversion factor of 9.29 × 10⁻² will indeed give you the value of 274.32 square centimeters.

Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. Enter the solution with the smaller x value first.
The solutions are ( __a0, __ a1) and ( __a2, __ a3)

Answers

Answer:

Solutions are  (3, -8) and (5, -10)

Step-by-step explanation:

From the equation x + y + 5 = 0 :-

x = -y - 5

Substitute for x in the other equation:

y = (-y - 5)^2 - 9(-y-5) + 10

y = (y^2 + 10y + 25) + 9y + 45 + 10

y^2 +  18y + 80 = 0

( y + 8)(y + 10) = 0

y  = -8, -10

Substitute these values of y in the equation x + y + 5 = 0:-

x = -8:-

x - 8 + 5 = 0 so x = 8-5 giving.x = 3

x = -10:-

x - 10 + 5 = 0 sox = 10-5 giving x = 5


Other Questions
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