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dimaraw [331]
2 years ago
15

3 Simplify:1/4 (15 – 6) +3 : 12 A. 2 B. 3 C. 41 D. 5 7 12

Mathematics
1 answer:
zalisa [80]2 years ago
4 0

Answer:  5.25 or 5.5 [see note]

Step-by-step explanation:

1/4 (15 – 6) +3  <em><u>[I'm not clear what is meant by the " : 12," so I left it out.]</u></em>

1/4 (9) +3

9/4 + 3

2.25 + 3 = 5.25

===

If it is supposed to read

1/4 (15 – 6) +3/12

Then it would be

5.25 + 0.25 = 5.5

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Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card how many spaces forward or
Ivenika [448]

Complete question :

designs a board game in which a card is drawn on each turn. • A blue card means move forward 4 squares. • A red card means move back 6 squares. Liam suggests adding some other cards to Sia's game Part A Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

Answer:

2 squares backward

Step-by-step explanation:

Given the rule :

Blue card = 4 squares forward

Red card = 6 squares backward

Yellow card = drawing a blue followed by a red

Spaces moved after drawing a yellow card:

Yellow equals :

Blue = + 4 squares ; then

Red = - 6 squares

Net total movement :

Blue + red

+4 + (-6)

4 - 6

- 2

2 squares backward

7 0
3 years ago
Which constants could each equation be multiplied by to eliminate the x-variable using addition in this system of equations? 2 x
Sever21 [200]

Answer:

3. The first equation can be multiplied by 3 and the second equation by 2.

Step-by-step explanation:

2 x + 3 y = 25 (1)

-3 x + 4 y = 22 (2)

Multiply equation (1) by 3 and (2) by 2.

3(2x) = 6x

2(-3x) = -6x

When you add the two equations, x will get cancelled last

4 0
3 years ago
Read 2 more answers
PLZ HELP MARKIN BRAINIEST!!!
Dahasolnce [82]

From the graph, when x = 1, y = 57,000.

Replace x with 1 in the equations and see if any of the Y 's equal 57,000 :

y = -2610.82(1) + 47860.82 = 45,250

y = 219(1)^2 - 6,506.78(1) + 59,385 = 219 - 6506.78 + 59385 = 53,097.22

y = 54041.5(0.9)^1 =  48,637.35

y = 10,504.6 (1.1)^1 = 11,555.06

The second equation is the closest. so try another x value to see if it is close to the Y value:

Let's try x = 14:

y = 219(14)^2 - 6506.78(14) + 59,385 = 42924 - 91094.92 + 59385 = 11,214.08

This is close to Y = 12,00 shown on the graph

SO the closest equitation is y = 219x^2 - 6506.78x + 59385

8 0
3 years ago
Please help this is due tomorrow.<br><br> 1/2 of 20?
Mars2501 [29]

1/2 of 20 is 20/2 which is 10.

All you really need to do here is to divide 20 by 2 to get 10.


6 0
2 years ago
Read 2 more answers
math problem Just before a referendum on a school budget, a local newspaper polls 400 voters in an attempt to predict whether th
Readme [11.4K]

Answer:

The conditions necessary for the analysis are met.

The probability the newspaper’s sample will lead them to predict defeat is 0.7881

Step-by-step explanation:

We are given;

population proportion; μ = 52% = 0.52

Sample size;n = 400

The conditions are;

10% conditon: sample size is less than 10% of the population size

Success or failure condition; np = 400 x 0.52 = 208 and n(1 - p) = 400(1 - 0.52) = 192.

Both values are greater than 10

Randomization condition; we assume that the voters were randomly selected.

So the conditions are met.

Now, the standard deviation is gotten from;

σ = √((p(1 - p)/n)

where;

p is the population proportion

n is the sample size

σ is standard deviation

Thus;

σ = √((0.52(1 - 0.52)/400)

σ = √((0.52(0.48)/400)

σ = 0.025

Now to find the z-value, we'll use;

P(p^ > 0.5) = P(z > (x - μ)/σ)

Thus;

P(p^ > 0.5) = P(z > (0.5 - 0.52)/0.025)

This gives;

P(p^ > 0.5) = P(z > - 0.8)

This gives;

P(p^ > 0.5) = 1 - P(z < -0.8)

From the table attached we have a z value of 0.21186

Thus;

P(p^ > 0.5) = 1 - 0.21186 = 0.7881

Thus, the probability the newspaper’s sample will lead them to predict defeat is 0.7871

8 0
3 years ago
Read 2 more answers
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