Here is a riddle:
The sum of two numbers is less than 10.
If we subtract the second number from the first, the difference is greater than 3.
Write a system of inequalities that represents this situation. Let f represent the first number and s represent the second number.

Answers

Answer 1

Answer:

The system of inequalities that represents this situation will be:

[tex]f + s < 10[/tex]

[tex]f - s > 3[/tex]

Step-by-step explanation:

Let 'f' represent the first numberLet 's' represent the second number.

Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.

so the inequality would be: f + s < 10

Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.

so the inequality would be: f-s > 3

Thus, the system of inequalities that represents this situation will be:

[tex]f + s < 10[/tex]

[tex]f - s > 3[/tex]


Related Questions

In the diagrams, the pre-image is shown with a dested tree and the image is shown with a solid line which transformation represents a dilation? .

Answers

The solid line if i am correct?

The solution to the system is (6,2). Select all the equations that could be the other
equation in the
system.
a.y = -3x
C. y=x+6
b.y=-*-* +3
d. y = {x-1
e. y=1&x-1
f.y = 4x - 2

Answers

Answer:

Step-by-step explanation: 645

Answer: C and E

Step-by-step explanation:

i took this on my quiz and got it right :)

In Exercises 1 and 2, find the coordinates of point Q along the directed line segment LM so that LQ to QM is the given ratio. 1. L(-1, -2), M(3, 6); 5 to 3

Answers

Answer:

The coordinates of Q are (1.5,3)

Step-by-step explanation:

Here, we simply want to divide the line segment in the given ratio

We can use the internal division formula here;

The coordinates of Q will be;

(x,y) = (nx1 + mx2)/(n + m) , (ny1 + my2)/(n + m)

m = 5, n = 3

(x,y) = (3(-1) + 5(3))/(5 + 3) , (3(-2) + 5(6)/(5 + 3))

(x,y) = (-3 + 15)/8 , (-6 + 30)/8

(x,y) = 12/8, 24/8

(x,y) = (1.5,3)

can someone help me on this one please

Answers

Answer:

x=-2

Step-by-step explanation

x+74+37+x+73=180

184+2x=180

-184        -184

2x=-4

x=-2

What is x if 3x+6= 39

Answers

x=11

reason:
if you do 39-6=33 and then if you do 33/3 you get 11

Answer:

X = 11

Step-by-step explanation:

Will give brainlest answer (zoom in to see questions)

Answers

1,3,4 i believe sorry if i’m wrong

Find the length of the diagonal of a square with 30 cm on a side in simplest radical form.

Please help! I’ll give brainliest!!

Answers

this isn't really understandable without pictures, does the question give any other information??

Priya bought x grams of flour. Clare bought 38 more than that. Select all equations that represent the relationship between the amount of flour that Priya bought, x, and the amount of flour that Clare bought, y, by matching each equation to "correct" or "incorrect".

Answers

It’s 15 to the fourth power hope this was helpful

how many solutions does x+2y=8 have ?

Answers

Answer:

1

Step-by-step explanation:

Since the power of the variable is 1 the equation will have 1 solution

Find the equation of OP.

Answers

The required equation of a circle P is x² + (y −3)² = 4. The correct answer is option (F).

As per the shown figure, the circle P with a center at (0, 3) and a radius is 2 units.

The center of the circle is given as (h,k) = (0, 3)

So the equation of the circle is:

⇒ r² = (x − h)² + (y − k)²

Substitute the values of r, h, and k in the above equation,

⇒ 2² = (x − 0)² + (y −3)²

⇒ 4 = x² + (y −3)²

⇒ x² + (y −3)² = 4

Hence, the equation of a circle P is x² + (y −3)² = 4.

Learn more about the equation of a circle here:

brainly.com/question/1554214

#SPJ1

anyone know the answer?

Answers

Answer:

x^7/y^7 (top right)

Step-by-step explanation:

Exponents are added together when multiplied, so it would equal x^7y^-7, but to get rid of the negative, the y would become the denominator in a fraction.

Answer:

x^7/y^3

Step-by-step explanation:

x^3+y^2+x^4+y^-5

re-arrange

x^4+x^3+y^-5+y^2

x^4+3+y^2-5

x^7+y^-3

let the minus(-)with the 3 be taken away

hence;

x^7/y^3

hence 3 is then possitive

can someone help me with this please

Answers

Answer:

ofc ill help! x=-35

Step-by-step explanation:

A cylinder has a base diameter of 4in and a height of 7in. What is its volume in cubic in, to the nearest tenths place?

Answers

Answer:

v = 87.96 cubic inches

Step-by-step explanation:

v = πr²h

v = π2²(7)

v = 3.14(4)(7)

v = 12.57(7)

v = 87.96

Answer:

125.7 in^3

Step-by-step explanation:

V = 125.663706143592

V = 125.7 in^3

Substitute the given values into the formula, and solve for the unknown variable.
A= 1/2h(B+b); A=22, B=6, b=5
h=?

Answers

b = 2 A h − B       Answer is B

Help please. thanks :)

Answers

Answer:

A. x=8 y=21

Step-by-step explanation:

line l and line m are parallel, and both angles that have x in the values are on the same side, so they are equal to each other.

7x+12=12x-28

   +28      +28

7x+40=12x

-7x       -7x

40=5x

/5   /5

8=x

Since A is the only choice that has x=8, it must be the right answer.

Answer:

x = 8, y = 21

Step-by-step explanation:

parallel means they're equal so..

7x + 12 = 12x - 28

-7x -7x

12 = 5x -28

+28 +28

40 = 5x

8 = x

plug in 8 to 12x - 28

12(8) - 28

96 - 28 = 68

180 - 68 = 112

9y - 77 = 112

+77 +77

9y = 189

y = 21

pls help me I'm taking a test and it's due in 30 mins idk this.
Write the equation of the parabola given the following information:

Vertex (2,3)

Focus (2,0)

Answers

Answer:

. y2 = 12x 40:12 :3 2. x² = -8y 408 3. (x + 2)2 = -4(y-1). \(-2,1) opens v. F-2,0) ... F (0:2). V(0,-2). F(4,2)

Step-by-step explanation:

Answer:

36-12y=(x-2)^2 or y=-(x^2/12) + x/3+8/3

Step-by-step explanation:

Help me pls help thank you soo much :)

Answers

Answer:

Don't sweat it the answer should be C

Step-by-step explanation:

Hope I helped you

A city planner uses a coordinate grid to model the streets of a city. Each unit on the coordinate grid represents one city block. City hall is located at (0,0).The downtown area is represented by rectangleABCD, which has the vertices listed below. A(9,9) B(9,−2) C(−8,−2) D(−8,9) What is the perimeter of the downtown area?

Answers

Answer:

The perimeter of the downtown area is 56 units.

Step-by-step explanation:

From Geometry we know that perimeter ([tex]p[/tex]), dimensionless, is the sum of the lengths of the rectangle, that is, its 4 sides:

[tex]p = AB + BC + CD + DA[/tex] (1)

Where [tex]AB[/tex], [tex]BC[/tex], [tex]CD[/tex] and [tex]DA[/tex] are the sides of the rectangle, dimensionless.

Each side length is determined by Pythagorean Theorem:

[tex]AB = \sqrt{(9-9)^{2}+(-2-9)^{2}}[/tex]

[tex]AB = 11[/tex]

[tex]BC = \sqrt{(-8-9)^{2}+[-2-(-2)]^{2}}[/tex]

[tex]BC = 17[/tex]

[tex]CD = \sqrt{[-8-(-8)]^{2}+[9-(-2)]^{2}}[/tex]

[tex]CD = 11[/tex]

[tex]DA = \sqrt{[9-(-8)]^{2}+(9-9)^{2}}[/tex]

[tex]DA = 17[/tex]

Then, the perimeter of the downtown area is:

[tex]p = 11+17+11+17[/tex]

[tex]p = 56[/tex]

The perimeter of the downtown area is 56 units.

Answer:

56 units

Step-by-step explanation:

5 of 12
Work out the percentage change when a price of £1 is increased to £1.50.
1 %
I

Answers

Answer:

50%

Step-by-step explanation:

change in price = 1.50 - 1 = £0.50

original price = £1

%change = change/original × 100%

= 0.50/1 × 100%

= 50%

CAN SOMEONE PLS HELP ME (ill give brianlsit)

Answers

Answer:

x=3(one solution)

Step-by-step explanation:

2x+2=3x-1

subtract 2 from both sides

2x=3x-3

subtract 3x from both sides

-x=-3

divide both sides by -1

x=3

Identify the y-intercept of the line y=5x-1​

Answers

Answer: its 1

Step-by-step explanation:

Frazer is training for a cycle race. In the first week he cycles 195 miles

Answers

Answer: Hope it helps...

Step-by-step explanation: mark as an brainliest... if so

Dylan opened a credit card account with $725.00 of available credit. Now that he has made some purchases, Dylan's account only has $601.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?

Answers

Answer:

130

Step-by-step explanation:

true

Answer:

123.25

Step-by-step explanation:

i subtract $725.00 by $601.75 so i can see how many he decrease the amount of avalable credit in dylan's account hope this helps!

The function w=30-3/4n represents the weight w in pounds of the papers in tyrones newspaper delivery bag after he delivers n newspapers. Find the zero and explain what it means in the context of this situation. Find the domain and range

Answers

Answer:

domain (−∞,∞)

range (−∞,∞)

n = 40 and it refers to the fact that after delivering 40 newspapers, there will be no paper left in the bag

Step-by-step explanation:

To find the zero, we equate the linear equation to zero

w = 30 - 3n/4

3n/4 = 30

3n = 120

n = 120/3

n = 40

What this mean in this context is that the the bag becomes empty after he has delivered 40 newspapers or we can say that the maximum number of papers the bag can take is 40

The range refers to the number on the y-axis

Here the range is (−∞,∞)

The domain refers to the x axis values

We have (−∞,∞)

If f(x) = 9–4 |+1|, find f(-5)?

15

-7

7

23 ​

Answers

Answer:

15

Step-by-step explanation:

15th of July is a baby day for us and

Maria rents a bicycle while on vacation. It costs a flat fee of$19.95 plus $5.50 an hour. If Maria rents it for 3 1/2 hours. What is the total cost?

Answers

Answer:

$39.20

Step-by-step explanation:

5.50 an hr *3.5 hours= 19.25

19.25+19.95 fee= 39.20

Answer:

So it would cost in total 39.20 dollars

Step-by-step explanation:

19.95+5.50x

19.95+5.50x3.5

19.95+19.25

39.2

Teri invested $2500 in an account with an interest rate of 2.75% compounded continuously. How
long will it take for Teri's account to earn $6000?

Answers

The time it will take for Teri's account to earn $6000 = 87 years

The total amount of money invested by Teri ( p) = $2500

The interest rate of the investment (r) = 2.75%

The simple interest is ( I) = $6000

Therefore the time to generate the interest of $6000

[tex] \frac{i \times 100}{p \times r \: } = t[/tex]

Therefore, time =

[tex] \frac{6000 \times 100}{2500 \times 2.75} [/tex]

[tex] \frac{600000}{6875} [/tex]

=87 years.

Therefore, the time it will take for Teri's account to earn $6000 = 87 years

Learn more here:

https://brainly.com/question/19088526

Carlo and Helen spend the same amount of money on art supplies. Carlo buys 4 glue sticks and spends $3 on glitter. Helen buys 2 glue sticks, and she spends $3.75 on tape and $2.75 on paint. What is the cost, x, of each glue stick

Answers

Answer:

1.75

Step-by-step explanation:

none try your best

The cost of each glue stick is $1.75 if Carlo and Helen spend the same amount of money on art supplies.  

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Carlo and Helen spend the same amount of money on art supplies.

Let the cost of each glue stick is x

Carlo spent:  4x + 3

Helen spent: 2x + 3.75 + 2.75

4x + 3 = 2x + 3.75 + 2.75

2x = 6.5 - 3

2x = 3.5

x = 3.5/2

x = $1.75

Thus, the cost of each glue stick is $1.75 if Carlo and Helen spend the same amount of money on art supplies.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

18 is between which 2 integers

Answers

Answer:

So, because 18 is between 16 and 25, we know its square root must be between their square roots, that is, between 4 and 5.

Which lines are parallel ? Please help me

Answers

Answer:

Lines J, K, and M are all parallel to each other.

Step-by-step explanation:

Parallel lines are two or more lines that are on the same plane but never intersect. Because they don't intersect they the same distance apart no matter what point you measure from on the line. Line N is the transversal for lines J, K, and M.

Other Questions
Which visual aid would be best for showing changes inacts population size over time? a line graph a mapa pile graina table Hey i really need help plus I will mark BRAINLEST.... :)I need you to come up with a topic sentence for antibiotics and there history. I think its pretty easy but I have 11 other things to do.... Complete the steps to solve for x.- 0.71X +0.51x= 4.2- 0.71x +0.51x= 4.2[x = 4.2 Which evidence supports the idea that the Sphinx is an ancient creation? A. Khafre ruled roughly 4,600 years ago.B. Tourists still visit the Sphinx daily.C. Some of the sand around the Sphinx was cleared in the 1850s.D. The Sphinx is roughly 240 feet long. what is the value of each digit in 312.054 The Wet Corp. has an investment project that will reduce expenses by $25,000 per year for 3 years. The project's cost is $30,000. If the asset is part of the 3-year MACRS category (33.33% first year depreciation) and the company's tax rate is 26%, what is the cash flow from the project in year 1? (Do not round intermediate calculations. Round your answer to the nearest dollar amount.) A. $21,100 B. $22,560 C. $20,550 D. $21,880 Write the decimal 0.68 as a fraction in simplest form. There are 15 female students in Ms. Stell's World History Class. The ratio of females to males is 5:4. How many males are in her class? The roots of the plant in the diagram above are exhibiting which behavior?+A AutotropismB HydrotropismC GeotropismD Phototropism Help me please and thank you!!! Katie has $20 in a savings account that earns 10% interest, compounded annually.To the nearest cent, how much interest will she earn in 3 years? Read this thesis from a literary analysis.In The Riddle of the Rosetta Stone, James Cross Giblin effectively captures the readers interest in the story by including the point of view of the scholar, Champollion.Next, read this excerpt from The Riddle of the Rosetta Stone.The group traveled up the Nile in two boats, stopping along the way to copy inscriptions on temples and monuments. After voyaging as far south as Nubia, they came back downstream to the ancient cities of Luxor and Thebes. At Thebes they camped in the Valley of the Kings, surrounded by the tombs of many pharaohs including Ramesses VI.Following a visit to the ruins of Karnak near Thebes, Champollion wrote in his journal: "At last I have visited the palace, or rather the city, of monuments, Karnak. . . . No nation on earth, ancient or modern, has ever conceived architecture on so noble and vast a scale. . . ."Which detail from the excerpt is the best evidence to support the thesis?The group traveled up the Nile in two boats, stopping along the way to copy inscriptions on temples and monuments.After voyaging as far south as Nubia, they came back downstream to the ancient cities of Luxor and Thebes.At Thebes they camped in the Valley of the Kings, surrounded by the tombs of many pharaohs including Ramesses VI.Champollion wrote in his journal: "At last I have visited the palace, or rather the city, of monuments, Karnak. . . . No nation on earth, ancient or modern, has ever conceived architecture on so noble and vast a scale. . . ." why was the decade 1920-1929 called the "roaring twenties" how do i even solve this?? im super confused anything would help. ty. A carpenter wants to cut a 7-meters plank into equal parts. If he takes one minute per cut, how long will it take him? Korey plants trees at a constant rate of 12 trees every 3 hours. What is an equation that relates p, the number of trees that korey plants, and h, the time he spends planting them in hours. how do you expand 2(p-j) WILL HAVE ZEROOOOOOO HERE 51 MORE POINTSSSSSSSSSSSSSSSS When x= -1, what is the value of y? A coil has an inductance of 6.00 mH, and the current in it changes from 0.200 A to 1.50 A in a time interval of 0.300 s. Find the magnitude of the average induced emf in the coil during this time interval.