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

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

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

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 (−∞,∞)

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.

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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)

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

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!

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.

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:

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

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 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:

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

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:

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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

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 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?

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

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

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

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:

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:

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.

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??

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

can someone help me with this please

Answers

Answer:

ofc ill help! x=-35

Step-by-step explanation:

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

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