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3 years ago

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A recipe for maroon paint says, “Mix 5 ml of red paint with 3 ml of blue paint.” Use snap cubes to represent the amounts of red

and blue paint in the recipe. Then, draw a sketch of your snap-cube representation of the maroon paint. Your teacher will provide directions on how to use the snap-cubes. What amount does each cube represent? How many milliliters of maroon paint will there be?

1 answer:

bixtya [17]3 years ago

7 0

Answer:

8 ml

Step-by-step explanation:

Each cube equals 1ml add them up dude...

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Figure WXYZ is transformed using the rule. Point W of the pre-image is at (1, 6)

Irina18 [472]

Answer:

d. (3, 8)

Step-by-step explanation:

the coordinates of point W " on the final image is (3 8) Solution-means first the point is translated left by 4 units and translated up by 2 units then it is reflected across y axis. (the rules follow right to left approach) The co-ordinate of point W is ( 1 6 ). After 4 units translation to left and 2 units translation to up the co-ordinates

7 0

3 years ago

You roll a 4-sided die repeatedly. On your odd-numbered rolls (1st,3rd,5th, etc.) you are victorious if you get a 4. On your eve

Sunny_sXe [5.5K]

Answer:

E (Y) = 3

Step-by-step explanation:

If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)

The probability of odd number roll will be, p(T) = $\frac{1}{2}$

However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) = $\frac{1}{2}$

In order to calculate: E (Y); We can say Y to be the number of times you roll.

We know that;

E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)

Let us calculate E ( Y|T ) and E ( Y|U )

Y|T ≅ geometric = $\frac{1}{4}$

Y|U ≅ geometric = $\frac{1}{2}$

also; x ≅ geometric (p)

∴ E (x) = $\frac{1}{p}$

⇒ $\frac{Y}{T}$ = 4 ; also $\frac{Y}{U}$ = 2

E (Y) = 4 × $\frac{1}{2}$ + 2 ×

= 2+1

E (Y) = 3

7 0

3 years ago

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

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3 years ago

(5x-12)+(3x+30)+(48)

skelet666 [1.2K]

Answer:

8x+66

Step-by-step explanation:

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3 years ago

Which one of these grids is shaded red and blue in the ratio 5 : 7?

trasher [3.6K]

Answer:

E

Step-by-step explanation:

there are 5 red boxes and 7 blue boxes

8 0

3 years ago

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