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3 years ago

In a game, the player wins if he rolls a 2 on a

1 answer:

6 0

Since the die is 6 sided, there’s a 1/6 chance he’ll roll a 2. If we divided 100 by 6, it is a 17% success rate.
24 x 17% is 4.08.

He will probably roll successfully 4 times out of 24

Double check: 4/24 can be simplified to 1/6, which is the original probability.

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At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the numbe

Reil [10]

You have to set up a system of equations

x+y=104
3x-y=104

Sodas = 78
Hotdogs = 26

7 0

3 years ago

Select the correct answer.

BaLLatris [955]

Answer:

Step-by-step explanation:

in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x

that is

if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees

since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees

therefore y=100

now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees

that is

x+y=180

we know that y = 100

therefore,

x+100=180

collect like terms and

x = 180-100

therefore,

x= 80

thank you!!

7 0

2 years ago

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triang

kipiarov [429]

Answer:

The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

Step-by-step explanation:

The image related to the exercise is necessary, to be able to solve therefore the attached one.

We have the following information:

Perimeter of the triangle = 58 units

Hypotenuse = 24 units

We have that the other two sides are equal and have x units, therefore we have the following:

x + x + 24 = 58

2 * x = 58-24

2 * x = 34

x = 34/2

x = 17

Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.

Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

4 0

2 years ago

Jessica is selling tickets for her softball team for $10 a ticket. Laurie is selling tickets for her softball team for $6 a tick

Mkey [24]

Answer:

90 tickets

Step-by-step explanation:

let the number of tickets be x

and the total amount each has be y

For Jessica

the amount is

y=10x--------1

for Laurie the amount is

Note: she has $360 already

y=360+6x-------2

to find the number of the tickets that will make them have the same amount, let us equate 1 and 2

10x=360+6x

10x-6x=360

4x=360

x=360/4

x=90

3 0

2 years ago

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

loris [4]

Answer:

x = $\frac{86}{179}$

Step-by-step explanation:

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

Multiply both sides by 10:

7.4x×10+4.1(2x-4)×10=-2.3(x-6)×10-21.6×10

Refine:

74x+41(2x-4)=-23(x-6)-216

Distributive Property:

74x+82x-164=-23(x-6)-216

Combine like terms:

156x-164=-23(x-6)-216

Distributive Property:

156x-164=-23x+138-216

Combine like terms:

156x-164=-23x-78

Add 164 to both sides:

156x-164+164=-23x-78+164

Simplify:

156x=-23x+86

Add 23x to both sides:

156x+23x=-23x+86+23x

Simplify:

179x=86

Divide both sides by 179:

$\frac{179x}{179}$ = $\frac{86}{179}$

Simplify:

x = $\frac{86}{179}$

6 0

3 years ago