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Gnesinka [82]
3 years ago
6

46 = -2(m + 7) + m solve the equation

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

m = -60

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Emily went to the movie theater for her birthday. A mix of adults and children attended, making a total of 22 people. Each adult
viktelen [127]

Answer:

13 children and 9 adults if the total cost is $152.5

Step-by-step explanation:

Let x children and y adults

x + y = 22 (1)

5.5x + 9y = 125.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 125.5

5.5x + 198 - 9x = 125.5

-3.5x = 125.5 - 198

-3.5x = -72.5

x = 20.7

y = 22 - x = 1.3

Which is not possible

If the total cost is $152.5

x + y = 22 (1)

5.5x + 9y = 152.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 152.5

5.5x + 198 - 9x = 152.5

-3.5x = 152.5 - 198

-3.5x = -45.5

x = 13

y = 22 - 13 = 9

3 0
3 years ago
which of the following is the missing reason? Statements Reasons three halves times x plus 5 equals negative 4 Given 3x + 10 = −
den301095 [7]

Answer:

The missing reason is Subtraction Property of Equality.

Step-by-step explanation:

\frac{3}{2}x+5=-4    ⇒ (Given)

On Solving we get;

Multiplying 2 on both side we get;

2(\frac{3}{2}x+5)=-4\times2\\\\2\times \frac{3}{2}x+5\times 2=-4\times 2

3x+10=-8   ⇒ (Multiplication Property of Equality)

Now Subtracting Both side by 10 we get;

3x+10-10=-8-10

3x = -18     ⇒ (Subtraction Property of Equality)

Now Dividing both side by 3 we get;

\frac{3x}{3} = \frac{-18}{3}

x=-6        ⇒ (Division Property of Equality)

Hence the missing reason is Subtraction Property of Equality.

8 0
3 years ago
Read 2 more answers
What is the area of the polygon ABCDE?
Setler [38]
The answer is 73.5

To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.

5 x 12 = 60 (rectangle area)

To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)

9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.

Add those two numbers and voila you have your answer of 73.5.
6 0
3 years ago
Doc Brown’s DeLorean has three crucial systems that are required for a successful trip: combustion engine, time circuits, and fl
Nesterboy [21]

Step-by-step explanation:

The total probability that the DeLorean makes the trip is:

P = P(engine) × P(at least 1 time circuit) × P(at least 2 capacitors)

P = P(engine) × (1 − P(0 time circuits)) × P(at least 2 capacitors)

P = 0.94 × (1 − ₄C₀ 0.75⁰ 0.25⁴) × (₃C₂ 0.8² 0.2¹ + ₃C₃ 0.8³ 0.2⁰)

P = 0.94 × (1 − 0.25⁴) × (0.384 + 0.512)

P = 0.83895

The reliability of the DeLorean is approximately 83.9%.

3 0
3 years ago
State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease
Otrada [13]
Percent decrease. 41% 
percent change= (new-old)/old *100
= -41 % the negative means decreasing
8 0
3 years ago
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