Lilian says that 25% of a number will always be less than 75% of any other number. Complete one inequality to support Lillian's claim and one to show that she is incorrect.

Answer:

The solution to the system of equations be:

x = 0.5,  y = -0.5

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]

Multiply 2x+4y=1 by 3:      6x+12y=3

Multiply 3x-5y=7 by 2:      6x-10y=14

[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]

subtracting the equations

[tex]6x-10y=14[/tex]

[tex]-[/tex]

[tex]\underline{6x+12y=3}[/tex]

[tex]-22y=11[/tex]

solve -22y for y

[tex]-22y=11[/tex]

Divide both sides by -22

[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]

Simplify

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

[tex]y = -0.5[/tex]

For 6x+12y=3 plug in y = -1/2

[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]

[tex]6x-12\cdot \frac{1}{2}=3[/tex]

[tex]6x-6=3[/tex]

Add 6 to both sides

[tex]6x-6+6=3+6[/tex]

[tex]\frac{6x}{6}=\frac{9}{6}[/tex]

Simplification

[tex]x=\frac{3}{2}[/tex]

[tex]x = 1.5[/tex]

Therefore, the solution to the system of equations be:

x = 0.5,  y = -0.5

Answer:

false

Step-by-step explanation:

answers is 50.27

Answer:

A. 78 Sq units

Step-by-step explanation:

Area of the trapezoid

[tex] = \frac{1}{ \cancel2} (19 + 7) \times \cancel6 \\ \\ = 26 \times 3 \\ \\ = 78 \: sq \: units[/tex]

Answer:

5

Step-by-step explanation:

Answer:

x = 2

y = 12

Step-by-step explanation:

In triangle ABD, CE is the mid segment.

Therefore, by mid segment theorem:

2(5x - 3) = x + 12

10x - 6 = x + 12

10x - x = 12 + 6

9x = 18

x = 18/9

x = 2

Since, DE = EA

2y - 4 = y + 8

2y - y = 8 + 4

y = 12

Answer:

B

Step-by-step explanation:

Since the graph shows a straight line and not a curved graph, this is a linear equation.

And since the line is sloping downwards, it is decreasing.

Our final answer is linear decreasing.

The category of the function of the graph in the figure is a (b) Linear decreasing graph

Any graph that is represented by a straight line is a linear graph

The above statement means that the graph is a linear graph because it is represented by a straight line.

The orientation of the line also means that:

As x increases, the value of y decreases

Hence, the category of the graph is a (b) Linear decreasing graph

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This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.

Britt needs to work 50 hours each month to accomplish her goal.

She wants to make $4,000 and she makes $8 per hour.

This means, amount of hours she need to make $4,000 is;

4000/8 = 500 hours

Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.

In conclusion, britt needs to work 50 hours each month to accomplish her goal.

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Answer:

Adults= 110

Children= 340

Step-by-step explanation:

Given data

let adults be x

and children be y

x+y= 450----------1

2x+y=680---------2

from 1

x= 450-y

put this in 2

2(450-y)=680

900-2y=680

900-680=2y

220=2y

y= 220/2

y= 110

x+110= 450

x= 450-110

x=340

Answer:

Step-by-step explanation:

Answer:There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?

Step-by-step explanation

There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?

Legs of a chicken = 2

Legs of a rabbit = 4

Total heads = 72

Total legs= 200

Let's assume that each of them has minimum 2 legs.

So 72*2 = 144 legs

Remaining legs: 200-144= 56

These remaining legs belong to rabbit because rabbit has 4 legs each.

2*Rabbits= 56

Rabbits= 56/2 = 28

Out of 72, 28 are rabbits. So there are 72-28= 44 chicken.

Answer:

15

Step-by-step explanation:

5+4=9

27÷9=3

girl's ratio is 5 so

5×3=15

answer is 15

Answer:

p > 12, p = 12

Step-by-step explanation:

She said she scored more than 12. It could be equal too.

Answer:

I am late on this but it could help some other people!

Step-by-step explanation:

Option A because it shows that the value of his score is greater than 12.

Answer:

3,o217383737283636666666666678899

Answer:

5

Step-by-step explanation:

is logical .... ...........

Answer:

Step-by-step explanation:

The answer is 1 2 and 4

The correct options are 1 and 3.

The expression can be written as 4n + 7, involving multiplication and addition.

Given is a verbal expression "Four times a number increased by seven"

We need to convert it into algebraic expression.

So,

Replace "a number" with the variable, n.

This means we replace the phrase "a number" in the expression with the variable "n".

So, the expression becomes "Four times n increased by seven," which can be written as "4n + 7."

The two operations are multiplication and addition.

This option is correct.

The expression involves two operations: multiplication and addition.

We have "Four times a number" which means we multiply the number by 4, and then "increased by seven" means we add 7 to the result.

So, the expression can be written as 4n + 7, where 4n represents the multiplication and +7 represents the addition.

The expression is written as 4n + 7.

This option is correct. The given expression "Four times a number increased by seven" can be written as 4n + 7, where 4n represents the multiplication of the number by 4 and +7 represents the addition of 7 to the result.

So, the correct options are 1 and 3.

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Answer:

All but the one on the bottom left

Answer:

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

820 - 779 = 41. 41/820 = 0.05. 0.05 = 5%

Answer:

      5 + a

A:  ---------

       a - 1

Step-by-step explanation:

          3+x                                       3 + a + 2

f(x) = ---------- becomes  f(a + 2) = ------------------

          x-3                                          a + 2 - 3

                                                                                                      5 + a

when a + 2 is substituted for x.  This last result simplifies to ------------

                                                                                                        a - 1  

which matches Answer A.

Answer:

864 in²

Step-by-step explanation:

Use the pythagorean theorem to find the missing side.

36²+x²=60² (x is the missing length of the side)

1296 + x² = 3600

x² = 2304

x = 48

Then use the area of a triangle formula: base·height/2

Substituting 36 for the height and 48 for the base, we get:

48·36/2, which is 864.

Answer:

QR ≈ 5.0

Step-by-step explanation:

Using the sine ratio in the right triangle

sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )

6 × sin56° = QR , then

QR ≈ 5.0 ( to the nearest tenth )

Answer:

some

some

some

some

no

Step-by-step explanation:

Answer:

1) no triangles

2)some triangles

3)no triangles

4)no triangles

5)all triangles

Step-by-step explanation:

i think that is right not sure tho

[tex]ans = \boxed{ 0.6}[/tex]

[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]

Answer:

Adam is typing...

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

26 divided by 2 is 13

Answer:

74

Step-by-step explanation:

Answer:

3n - 17

Step-by-step explanation:

This phrase includes subtraction (“less than”) and multiplication (“times”). We are multiplying a number (3) by the variable to create the term 3n. Subtraction is not commutative, so order does matter. 17 less than 3n means we have 3n and take 17 away: 3n - 17.

Answer: 120

Step-by-step explanation:

3+2=5

Let x be the amount of money to be shared

Paul’s share which is (3/5)x is 60+ Quinn’s share which is (2/5)x

Therefore

(3/5)x= (2/5)x + 60

(3/5)x - (2/5)x= 60

(x/5)=60

Cross multiply

x= 60*5=300

It means that Quinn’s share is (2/5)(300)= 120

The amount of money that Paul and Quinn have will be $180 and $120, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Paul and Quinn share some cash in a proportion of 3:2, Paul gets 60 a larger number than Quinn.

Let 'x' be the share of Paul and 'y' be the share of Quinn. Then the equation is given as,

x: y = 3: 2          ...1

x = y + 60         ...2

From equations 1 and 2, then we have

(y + 60) / y = 3/2

2y + 120 = 3y

y = 120

Then the value of the variable 'x' is given as,

x = 120 + 60

x = 180

The amount of money that Paul and Quinn have will be $180 and $120, respectively.

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C. x = 1.5y

This is the answer

As, 3y/2x = 1.5y/x

So, by this ratio we get,

x = 1.5y

Answer:

corvette corvette.

Step-by-step explanation: