Two-fifths of one less than a number is less than three-fifths of one more than that number. What
solution set of this problem?
x <-5
x>- 5
x>-1
X<-1

Answer:

2d+3d-2d+4d= 9d-16

2d is cancelled

3d+4d=9d-16

7d=9d-16

16=9d-7d

16=2

16/2

d=8

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

Answer:

Area of base = 25cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

Volume = length × width × height = lwh

for a square base, length = width

∴ volume = l × l × h = l²h

where:

l = length

h = height = 9cm

volume = 225 cm³

∴ 225 = l² × 9

l² = 225 ÷ 9

l² =  25

∴ length = √ 25 = 5cm

Area of base = Length × Length = 5 × 5 = 25cm

4n is the soultioncAnswer:

Step-by-step explanation:

The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of games be represented as x

Let the cost for the total number of games be y

And , the values of x = { 2 , 5 , 7 }

Now , the values of y = { 9.00 , 22.50 , 31.50 }

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

On simplifying , we get

9 = k ( 2 )

Divide by 2 on both sides , we get

k = 4.5

And , 22.50 = k ( 5 )

Divide by 2 on both sides , we get

k = 4.5

Therefore , the proportionality constant is k = 4.5

Hence , the proportion is y = 4.5x

To learn more about proportion click :

https://brainly.com/question/7096655

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The complete question is :

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)

2 9.00

5 22.50

7 31.50

Do the Number of the games and price form a proportional relationship? choose correct response

1. Yes there is a constant of proportionality of 11.25.

2. Yes there is a constant of proportionality of 4.50.

3. No there is not a constant of proportionality.

4. No the Slope is 4.5

Answer:

It has no solution, unless there's a specific way it needs to be solved

Step-by-step explanation:

Answer:

opposite word of disperse

Answer:

39^2-15^2=1296

/

put this number in a square root and it will give you=36

×=36

Step-by-step explanation:

hypotenuse minus short side it gives another short side

Answer:

Step-by-step explanation:

sin77=h/8

h=8sin77

h=8(0.9744)

h=7.7952ft

Answer:

t ≤ 6°F

The temperature(t) was less than or equal to 6°F.

Answer:

3.8 quarts

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

12 divided by 1/3 is also equal to 12 times 3.

12x3=36

To double check, you could use a calculator, but the answer would still be 36.

sorry if this doesn't help

Answer:

36/1

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because the angles are opposite each other they are equal so we can say

4x-25=75

4x=100

x=25

x= 25

4x -25 = 75 ( vertically opposit angle)

4x = 100

x = 100/4

x= 25

angle = 75

hope it helps

Answer:

POINTFARMER.EXE=EZ

Step-by-step explanation:

Answer:

120 feet^2

Step-by-step explanation:

Answer:

the answer is =6a^3b^5−12a^2b^6−21a^2b^3

Step-by-step explanation:

hoped I helped:)

in this way you can solve this

Answer:

y = -2/7x + 4

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

48+22=70

4×8=48

so X is 8

Answer:

The two triangles can be considered similar as Angle A is 70 degrees and Angle B is a congruent angle to Angle A, which can be proven by adding 70 to 110 which shows a 180 degree angle (flat angle). Therefore we know that this triangle is similar

Step-by-step explanation:

Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

3(2x-5)+2x+3=1

6x-15+2x+3=1

8x-12=1

    +12 +12

8x=13

/8   /8

x=1.625

---

sorry if this doesn't help

Step-by-step explanation:

We would do multiplication first, because of order of operations.

2x3=6

Now we add.

6+4=10

hope it helps! :3

Answer:

x^2 + y^2 = 256

good luck and have an awesome Day/Night