A science fair awards prizes to the first, second and third place winners. There are 48 people entered in the science fair. How many ways can the winners be selexted EXPRESSION

The solution of the inequality is x ≥ 20

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Given is an inequality, x/10+6 ≥ 8

Rules for manipulating inequalities

Rule 1.) Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged.

Rule 2.) Multiplying or dividing both sides by a positive number leaves the inequality symbol unchanged.

Solving,

x/10+6 ≥ 8

x/10+6-6 ≥ 8-6

x/10 ≥ 2

10×x/10 ≥ 2×10

x ≥ 20

Hence, The solution of the inequality is x ≥ 20

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Answer:

A number minus the product of

4

and its reciprocal is less than zero. Find the numbers which satisfy this condition.

AAny number less than

−

2

or between

0

and

2

BAny number between

−

2

and

2

CAny number less than

2

DAny number between

0

and

2

Solution

Let the number be x

Then

x

−

(

4

×

1

x

)

≤

0

⇒

x

≤

4

x

⇒

x

2

≤

4

⇒

|

x

|

≤

2

⇒

−

2

≤

x

≤

2

Step-by-step explanation:

The numbers which satisfy this condition is less than 1. it will be 0, - 1, -2, 0, -3, -4, -5, -6, -7..................

let

the number  = x

The reciprocal of 36 = 1 / 36

Therefore, a number minus the product of 36 and it's reciprocal can be express below

Then when it is less than zero, it can be express as follows

The number(x) which satisfy this condition (x - 1 < 0) is less than 1. This means the numbers are 0 to negative infinity.

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Start with the 60, 60, 60 degree triangle, one of the sides are 12 so all the other sides are 12. So we have 12+12+12+9=45

Answer:

I solved with substitution since you weren't specific on how to answer it but I got ( 2,3 )

[x  =  2  , y  =  3]

Answer:

x=2

y=3

Step-by-step explanation:

[tex]\left \{{4x+3y=17{} \atop{5x-2y=4}} \right.[/tex]

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

4x+3y=17,5x−2y=4

To make 4x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 4.

5×4x+5×3y=5×17,4×5x+4(−2)y=4×4

Simplify.

20x+15y=85,20x−8y=16

Subtract 20x−8y=16 from 20x+15y=85 by subtracting like terms on each side of the equal sign.

20x−20x+15y+8y=85−16

Add 20x to −20x. Terms 20x and −20x cancel out, leaving an equation with only one variable that can be solved.

15y+8y=85−16

Add 15y to 8y.

23y=85−16

Add 85 to −16.

23y=69

Divide both sides by 23.

y=3

Substitute 3 for y in 5x−2y=4. Because the resulting equation contains only one variable, you can solve for x directly.

5x−2×3=4

Multiply −2 times 3.

5x−6=4

Add 6 to both sides of the equation.

5x=10

Divide both sides by 5.

x=2

The system is now solved.

x=2,y=3

Answer:

1. C

2. A

Step-by-step explanation:

Answer:

5:7

Step-by-step explanation:

Answer 0.01

Step-by-step explanation:

Answer:

smallest -3,-2,2,9 biggest

Answer:

-3, -2, 2, 9

Step-by-step explanation:

-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9

Answer:

Its the third one

Step-by-step explanation:

i got it right of edg

Answer: it’s 60

Step-by-step explanation:

Answer:62∘

Step-by-step explanation:

SOH-CAH-TOA

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{2.2}{4.7}

cosU=

hypotenuse

adjacent

​

=

4.7

2.2

​

\cos U = \frac{2.2}{4.7}

cosU=

4.7

2.2

​

U=\cos^{-1}(\frac{2.2}{4.7})

U=cos

−1

(

4.7

2.2

​

)

U=62.09\approx 62^{\circ}

U=62.09≈62

∘

Answer: 62

Step-by-step explanation:

Answer:

about 200 square inches

Answer:

y= 4/3x

Step-by-step explanation:

Answer:

y= 4/3x

Step-by-step explanation:

Answer: 722.5 yards

Step-by-step explanation:

85 x 25.5 = 2167.5 feet for 85 wood beams.

Convert 2167.5 feet to yards.

There are 3 feet in 1 yard; so divide 2167.5/3 which equals 722.5 yards

Answer:

The second one is the answer

Step-by-step explanation:

Ur just dividing everything except the exponents. the exponents you subtract

Answer:

B. 3m^6 - 3m^3 - 2m^2

Step-by-step explanation:

Step 1: (6m^8 - 6m^5 - 4m^4)/2m^2

Step 2: (6m^8/2m^2) + (-6m^5/2m^2) + (-4m^4/2m^2)

Step 3: 3m^6 - 3m^3 - 2m^2

1) Given equation

2) You can imagine this fraction as (6m^8 - 6m^5 - 4m^4) multiplied by 1/(2m^2), so you can think of it like multiplying a monomial by a trinomial where you multiply the monomial by each term. In this step you multiply 1/(2m^2) by each of the terms in the trinomial.

3) In this step, you divide the terms in the parenthesis. You first divide the constants (ex: 6÷2=3 in (6m^8/2m^2)), and then you divide the variable exponents (ex: m^8÷m^2=m^6 in (6m^8/2m^2)).

Answer:

D

Step-by-step explanation:

Edge

Answer:

d

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

75+x+52+67+x=180

2x+194=180

2x=-14

x=-7

Answer:

x = -7

Step-by-step explanation:

total angle of triangle is 180°

nake an equation.

180°= 75 + (x+52) + (67+x)

180-75-52-67=2x

-14 =2x

Divide both sides by 2 to get the value of x

X= -7

Answer:linear

Step-by-step explanation:

When plotting the dots a line is seen

Answer:

1$ because yo cut it down AND get your answer

Answer:

x = 13.86

y = 6.93

Step-by-step explanation:

tan 30° = y/12

0.5774 = y/12

y = 12(0.5774) = 6.93

cos 30° = 12/x

0.8660 = 12/x

x = 13.86

Answer:

886 inches

Step-by-step explanation:

Because we know the length for sides I and J, we can use the pythagorean theorem to get K. 850^2 + 250^2=KY^2. 850^2 = 722,500, and 250^2 = 62,500. 722,500 + 62,500 = 785,000. 785,000 to the square root rounded to the nearest inch is 886 inches.

Answer: 843

Step-by-step explanation:

Answer:

Super Man

Have a great day!

87 weeks of saving, yikes!

Answer:

86.71 or 87 weeks

Step-by-step explanation:

29482/340= 86.71

Answer:

Step-by-step explanation:

Given that:

They make 8 whole pizzas.

Therefore

They'll make more money if they slice it into fifths.

180 - 120 = $60

Because if they slice it into thirds, total profit will be $60 less

____________________

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