Item 9 Forty-five basketball players participate in a tournament. Write and solve an equation to find the number x of 3-person teams that they can form. An equation that represents this problem is =45. They can form 3-person teams.

Answer:

x = 12

Step-by-step explanation:

DE + EF = DF

2x - 1 + 5x - 13 = 70

7x - 14 = 70

7x = 70 + 14

    = 84

x = 84 ÷ 7

x = 12

Answer: x=12

Step-by-step explanation:

2x-1+5x-13=70

Combine like terms

7x-14=70

Add 14 to both sides

7x=84

Divide both sides by 7

X=12

Answer:

A

Step-by-step explanation:

You can make an infinite number of triangles with those three angle measures, because the side lengths can be different.

Answer:

H = 625

Step-by-step explanation:

Given H varies directly as c³ then the equation relating them is

H = kc³ ← k is the constant of variation

To find k use the condition when H = 40, c = 2, then

40 = k × 2³ = 8k ( divide both sides by 8 )

5 = k

H = 5c³ ← equation of variation

When c = 5, then

H = 5 × 5³ = 5 × 125 = 625

Answer:

See below

Step-by-step explanation:

There are two ways to graph an equation.

1st Way:

We can use a graphing calculator. (See the attached file)

2nd Way:

We can take the values of x as 0, 1 , 2 (Or anything).

Then, We have to put the values of x in the equation to get the value of y accordingly.

According to these values, Plot the graph.

Also,

Slope = 5 / 6

y-intercept = 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

the answer should be 48 because a triangle is 180.

Step-by-step explanation:

you would do 180-65-67=48

Answer:

48

Step-by-step explanation:

65+67=132

180-132

48

Answer:

a) 5,5kg

b) 8,65 €

Step-by-step explanation:

Daniela ha comprado 2,5 kg de naranjas a un precio de 1,75 € el kg, 1,5 kg de manzanas a 1,6 el kg y 1,5 kg de plátanos a 1,25 € el kg.

a) Si ponemos toda la fruta en la misma bolsa, ¿cuál es su peso?

Naranjas = 2,5 kg

Manzanas = 1,5 kg

Plátanos = 1,5 kg

Por lo tanto:

El peso total

= Peso de las naranjas + Peso de las manzanas + Peso de las bananas

= 2,5 kg + 1,5 kg + 1,5 kg

= 5,5 kg

b) ¿Cuánto ha pagado Daniela por toda la fruta?

Costo de las naranjas

Daniela ha comprado 2,5 kg de naranjas a un precio de 1,75 € el kg

1 kg = 1,75 €

2,5 kg = x

x = 2,5 × 1,75 €

x = 4,375 €

Costo de las manzanas

1,5 kg de manzanas a 1,6 € el kg

1 kg = 1,6 €

1,5 kg = x

Cruz multiplicar

x = 1,5 × 1,6 €

x = 2,4 €

Costo de los plátanos

1,5 kg de plátanos a 1,25 € el kg.

1 kg = 1,25 €

1,5 kg = x

Cruz multiplicar

x = 1,5 × 1,25 €

x = 1.875 €

La cantidad que Daniela pagó por toda la fruta es:

4,375 € + 2,4 € + 1,875 €

= 8,65 €

Answer:

The value of x in terms of b is: [tex]\mathbf{x=-\frac{6}{2b}}[/tex]

The value of x when b is 3 is: x = -1

Step-by-step explanation:

We are given the function: [tex]-2(bx-5)=16[/tex]

First we need to find

The value of x in terms of b

We need to find value of x

[tex]-2(bx-5)=16[/tex]

Multiply -2 with terms inside the bracket

[tex]-2bx+10=16[/tex]

Subtract 10 from both sides

[tex]-2bx+10-10=16-10\\-2bx=6[/tex]

Divide both sides by -2b

[tex]\frac{-2bx}{-2b}=\frac{6}{-2b}\\x=-\frac{6}{2b}[/tex]

So, The value of x in terms of b is: [tex]\mathbf{x=-\frac{6}{2b}}[/tex]

The value of x when b is 3

We have the equation for the value of x in terms of b:

[tex]\mathbf{x=-\frac{6}{2b}}[/tex]

Put b = 3

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

So, The value of x when b is 3 is: x = -1

Answer:

M2+m3=90

Step-by-step explanation:

Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.

Answer:

Answer is 2/5 , 2:5 , 2 to 5

Step-by-step explanation:

when it's asking for a ratio ur basically dividing

bananas/apples= 2/5

Answer is 2/5 , 2:5 , 2 to 5

Answer:

You got the answer from the other person

Step-by-step explanation:

Answer:

pretty sure its 18*5

Step-by-step explanation:

1. Solve 3^2 (three squared)

3 x 3= 9

2. Replace 3^2 with 9

it should now look like this:

2*9*5

3. Multiply left to right

2*9= 18

18*5

hope this helps :p

Answer:

b is 5

Step-by-step explanation:

Answer:

0.7, 70/100 or 7/10

Step-by-step explanation:

70 squares are shaded.

So 70/100 of all squares are shaded

Answer:

9.6

2.4.

Step-by-step explanation:

It is easy. If you do with calculator it's easy.

Answer:

1. 1

2. 4

3. 7

4. 1

5. 10

6. 6

7. 2

8. 5

9. 6

10. 3

11. 5

12. 7

Step-by-step explanation:

on the picture

if it's helpful ❤❤❤❤

THANK YOU

Answer: It costs $1.22 to make each paperweight.

Step-by-step explanation:

Given : Selling price of 95 identical paperweights = $230.85

Then, Selling price of 1 paperweight = (Selling price of 95 identical paperweights) ÷ 95

= $ (230.85 ÷ 95) = $ 2.43

Now, selling price of each paperweight = 2 x ( cost of each paperweight)

⇒ cost of each paperweight = (selling price of each paperweight ) ÷ 2

⇒ cost of each paperweight = $ 2.43 ÷ 2 = $ 1.215 ≈ $ 1.22

Hence, it costs $1.22 to make each paperweight.

Answer: 40

Step-by-step explanation: The pattern goes by 8's

Answer:

40 the number is 40..your welcome

answer

8/25

Step-by-step explanation:

so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.

Answer:

ab

Step-by-step explanation:

The square root cancels out the squaring exponent

Answer:

The traveller's speed is 5ft/s and the walkway speed is 3ft/s

Step-by-step explanation:

Given

Represent the traveller's speed with T and the walkway's speed with W.

When the traveller walk against the walkway, we have:

[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway

When the traveller walk with the walkway, we have:

[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway

Required

Solve for W and T

[tex]T - W = 2[/tex] --- (i)

[tex]T + W = 8[/tex] --- (ii)

Add (i) and (ii)

[tex]T + T - W + W = 2 + 8[/tex]

[tex]T + T = 2 + 8[/tex]

[tex]2T = 10[/tex]

Divide both sides by 2

[tex]\frac{2T}{2} = \frac{10}{2}[/tex]

[tex]T = \frac{10}{2}[/tex]

[tex]T = 5[/tex]

Substitute 5 for T in (ii)

[tex]T + W = 8[/tex]

[tex]5 + W = 8[/tex]

Make W the subject

[tex]W = 8 - 5[/tex]

[tex]W = 3[/tex]

Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s

Answer:

$5.45

Step-by-step explanation:

$54.50 ÷ 10 = $5.45

Hope that helps.

Answer:

$5.45

Step-by-step explanation:

10 gallons is54.50 dollars

54.50 divided by 10

5.45

Answer:

$2650

Step-by-step explanation:

= 2000 × 0.0325 × 10 = 650

= $ 650.00

Answer:

25ft

Hoped this helped!

Answer:

18,20

Step-by-step explanation:

Start aat the -10, go up to the 5, its 15, so if its 15 to one end go the other way and you get 20

Do the same with the - 18 and the 0

Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

Answer:

x=-2,y=2

Step-by-step explanation:

2x+y=-2 ----> y=-2-2x----(1)

25x+3y=-4 ---(2)

Replace (1) in (2)

5x+3(-2-2x)=-4

5x-6-6x=-4

-x=-4+6

-x=2

x=-2

If x=-2,then replace x in (1)

y=-2-2(-2)

y=-2+4=2

Answer:

-9x+11y=-14

x= ( 13/4 +3/8y) + 11y+-4

y=2

x=13/4 + 3/8 x 2

x=4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

AB is undefined, CD is y = -5

Step-by-step explanation:

Find both of the line's slopes. You can use the formula for slope to calculate this answer because you know two points on the line for both lines (Look below). If you plug in the points for AB, you would have ( -2 - 7)/0, which would be undefined, because anything divided by 0 is undefined. Since the slope for AB is undefined, it is undefined. Next, we have CD. If you plug in the points for CD, you would get (-5 - (-5))/(6 - 3), which would be 0/3, which is 0. This means that the slope is 0. Next, we have to plug in the points for CD into the formula for equation of the line (Look Below), which would be y - (-5) = 0 * (x - 6), which simplifies to y + 5 = 0, which is y = -5.

Formula for Slope:

[tex]\frac{y1 - y2}{x1 - x2}[/tex]

Usable with 2 points of the line given ((x1, y1) and (x2, y2))

Formula for Equation of the Line:

[tex]y - y1 = slope * (x - x1)[/tex]

Usable with the slope and a point given ((x1, y1))

Answer: AB is undefined (AB is not a relationship, slope is undefined (Vertical Line)) and CD is y = -5 (Horizontal Line)

Answer:

97km/h to 1dp

Step-by-step explanation:

47mins is 0.783 of an hour

76km/0.783 = 97.0212km/h

Answer:

18.135

Step-by-step explanation:

30*9.75=292.5

6.2%*292.5=18.135