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tatuchka [14]
2 years ago
8

Help plz this is a mastery test

Mathematics
2 answers:
oee [108]2 years ago
7 0

Answer:

8 1/30

Step-by-step explanation:

Calculate by converting into improper fractions.

Alexxx [7]2 years ago
6 0
8 1/30 should be the answer
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Rewrite 1/2*(5/6*6) using only the associative property.
Alika [10]

Answer:

(1/2 * 5/6) * 6

Step-by-step explanation:

The associative property of multiplication states that the product of three or more numbers remains the same regardless of how the numbers are grouped.

7 0
3 years ago
Sammy has x flavors of candies with which to make goody bags for Frank's birthday party. Sammy tosses out y flavors, because he
harkovskaia [24]

Answer:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

Step-by-step explanation:

Total flavors Sammy initially had = x

Number of flavors Sammy throw away = y

After throwing away y flavors, the number of flavors Sammy will be left with = x - y

He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.

So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as ^{(x-y)}C_{10}

The formula for combinations is:

^{n}C_{r}=\frac{n!}{r!(n-r)!}

Using the values in this formula, we get:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

7 0
3 years ago
Solve for x. Show your work.<br> 1 x&lt;-12<br> 2
Airida [17]

Answer:

2 is not a solution

Step-by-step explanation:

x < -12

<u>Step 1:  Check if 2 is less than -12</u>

2 < -12

No, this doesn't work

Answer:  2 is not a solution

5 0
3 years ago
3x - 6 = 2 - 5x how do i get x
Elanso [62]

Answer:

x=0.875

Step-by-step explanation:

3x-6=2-5x

Add 6 on both sides (6+2)

2x=8-5x

Add 5x on both sides

7x=8

Divide 7 from both sides

x=0.875

4 0
3 years ago
The edges of the diameter of a circle are at (-1,2) and (3,-1). Write the equation of the circle in general form.
Y_Kistochka [10]

Answer:

(x-1)²+ (y-0.5)²=6.25

Step-by-step explanation:

<u>The standard form of equation of a circle is;</u>

(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius

<u>Finding the mid-point of the given points</u>

(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)

midpoint= {1/2(-1+3), 1/2(2+-1)}

midpoint=(1,0.5)

<u>Finding the radius r; the distance from the center to either of the given two points</u>

Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²

Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then

d=√ (-1-1)² +(2-0.5)²

d= √ (-2)²+(1.5)²

d=√4+2.25⇒√6.25⇒2.5

r=2.5

<u>Equation of the circle</u>

(x-1)² + (y-0.5)²=2.5²

(x-1)²+ (y-0.5)²=6.25

3 0
3 years ago
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