Hey anyone out there can you plz help me

Richard works at an ice cream shop. Regular cones get two scoops of Ice cream: large cones get three scoops. One hot Saturday, R

Karo-lina-s [1.5K]

The total number of scoops of ice cream that Richard got from the tub is,

(234 regular cones) x (2 scoops / 1 regular cone) + (156 large cones) x (2 scoops / 1 large cone) = 936 scoops

Given that each scoop weighs 3 ounces, the total weight of the ice cream is 2808 ounces. For the number of tubs,

(2808 ounces) x (1 lb / 16 ounces) x (1 tub /10 lb) = 17.55

Thus, the answer is 18.

6 0

3 years ago

If f(x)=5x-7 and g(x)√x-2 which statement is true?

nata0808 [166]

If f ( x ) = 5 x - 7
f ( 5 ) = 5 * 5 - 7 = 25 - 7 = 18
- 5 is in the domain
g ( 5 ) = √ ( 5 - 2 ) = √ ( - 3 ) ( this is an irrational number )
- 5 is not in the domain.

8 0

3 years ago

In a box there are 6 orange balls, 4 green balls and "x" blue balls. If the probability of drawing a blue ball is 1/3, what is t

Scorpion4ik [409]

Step-by-step explanation:

I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).

tricky, your teacher.

I think the temptation is to simply say 1/3×1/3 = 1/9.

but is it ?

the probabilty to draw one blue ball out of the complete system (no ball missing) is

x / (6+4+x) = 1/3

x = (6+4+x)/3

3x = 6 + 4 + x = 10 + x

2x = 10

x = 5

so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .

the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.

but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).

and so the probability to draw a blue ball out of this is

4/14 = 2/7.

therefore, the probability to draw 2 blue balls is now the combination

1/3 × 2/7 = 2/21

aha ! so, it is a little bit less than the originally suspected probability of 1/9.

5 0

3 years ago

7x+1/2(x+1/4)=3(6x-9)-8

ycow [4]

Answer:

x = 381/24 = 3 29/84

Step-by-step explanation:

7x + 1/2(x + 1/4) = 3(6x - 9) - 8

Use the distributive property to multiply 1/2 by x + 1/4.

7x + 1/2x + 1/8 = 3(6x - 9) - 8

Combine 7x (14/2x) and 1/2x to get 15/2.

15/2x + 1/8 = 3(6x - 9) - 8

Use the distributive property to multiply 3 by 6x - 9.

15/2x + 1/8 = 18x - 27 - 8

Subtract 8 from -27 to get -35.

15/2x + 1/8 = 18x - 35

Subtract 18x from both sides.

-21/2x + 1/8 = -35

Subtract 1/8 from both sides.

-21/2x = -35 - 1/8

-35 is the same as -280/8.

-21/2x = (-280 - 1)/8

Subtract 1 from -280 to get -281.

-21/2x = -281/8

Multiply both sides by -2/21 (reciprocal of -21/2).

x = (-281 * -2)/(8 * 21)

You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).

x = (-281 * -1)/(4 * 21)

Multiply -281 by -1 to get 281.

x = 281/(4 * 21)

Multiply 4 by 21 to get 84.

x = 281/84

Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)

x = 3 29/84

Work check: x is substituted for 281/84 (convenience)

7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8

(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8

2118/84 = 3(1686/84 - 9) - 8

2118/84 = 3((1686 - 756)/84) - 8

2118/84 = 3(930/84) - 8

2118/84 = 2790/84 - 672/84

2118/84 = (2790 - 672)/84

2118/84 = 2118/84

So x = 3 29/84 is correct.

5 0

3 years ago

Express (a+b) ^2 -4 by factorization

NemiM [27]

Step-by-step explanation:

$= (a + b) {}^{2} - 2 { }^{2} \\ = ( a + b + 2)(a + b - 2)$

in 2nd exp. this is because by using the formula of a2-b2

5 0

3 years ago