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zavuch27 [327]
3 years ago
15

Solve the equation 1/4 (x+2)+5=-x

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

Answer:

Exact Form:

x=−225

Decimal Form:

x=−4.4

Mixed Number Form:

x=−4 2/5

Step-by-step explanation:

marysya [2.9K]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

1/4 (x-2) + 5 = x

1/4 (x-2) = x - 5

x - 2 = 4(x-5)

x-2 = 4*x + 4*-5

x-2 = 4x - 20

x - 4x = 2 - 20

-3x = -18

x = -18/-3

x = 6

Check:

1/4(6-2) + 5 = 6

1/4(4) + 5 = 6

1 + 5 = 6

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stellarik [79]

Answer:

Is it compounded monthly, weekly, yearly, or continuously?

Step-by-step explanation:

then the formula would be P=A/(1+r/n)^tn where r is interest rate as a decimal, A is the initial value, t is the time and n is the number of times compounded in a unit 't'. Plugging in the values, we would get 1000/(1+.05/1)^8(1)=$1477.46

7 0
2 years ago
Hailey went to the market and bought 5 pounds of coffee that costs $2 a pound. She also purchased 2/3 pounds of lunch meat that
Firdavs [7]

Answer:

$16

Step-by-step explanation:

$2 x 5 = $10

1 pound = $9

2/3 = $6

10+6=16

6 0
3 years ago
There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the
vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = \frac{\textup{56 + 57 + 58 }}{\textup{3}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}

or

Variance = \frac{1+0+1}{\textup{2}}

or

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = \frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}

or

Variance = \frac{1+0+1+0}{\textup{3}}

or

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0
3 years ago
7. Consider the purchase of two cereal boxes.
AveGali [126]

Answer:

a) 0.25

b) 0.25

c) 0.0625

Step-by-step explanation:

The complete question is:

Do you remember when breakfast cereal companies placed prizes in boxes of cereal? Possibly you recall that when a certain prize or toy was particularly special to children, it increased their interest in trying to get that toy. How many boxes of cereal would a customer have to buy to get that toy? Companies used this strategy to sell their cereal.

One of these companies put one of the following toys in its cereal boxes: a block (B), a toy watch (W), a toy ring (R), and a toy airplane (A). A machine that placed the toy in the box was programmed to select a toy by drawing a random number of 1 to 4. If a 1 was selected, the block (or B) was placed in the box; if a 2 was selected, a watch (or W) was placed in the box; if a 3 was selected, a ring (or R) was placed in the box; and if a 4 was selected, an airplane (or A) was placed in the box. When this promotion was launched, young children were especially interested in getting the toy airplane.

What is the probability of getting an airplane in the first cereal box?

Since the machine randomly selects toys, each toy has the same probability of being obtained in a cereal box.

Then, the total outcomes are 4 and the probability of getting an airplane in the first cereal box is 0.25 (25%).

What is the probability of getting an airplane in the second cereal box?

Two independent events do not change the probability of occurrence of one event or another.

The probability of getting an airplane in the second cereal box is 0.25 (25%).

What is the probability of getting airplanes in both cereal boxes?

P(1°∩2°)= P(1°) × P(2°) = \frac{1}{4} \times \frac{1}{4} =\frac{1}{16}

P(1°∩2°)= 0.0625 = 6.25%

4 0
3 years ago
Answer needed -3x + 9 = 18
Aloiza [94]

Answer:

X=-3

Step-by-step explanation:

Is that what you need?

8 0
3 years ago
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