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ra1l [238]
3 years ago
10

−30=5(x+1)minus, 30, equals, 5, left parenthesis, x, plus, 1, right parenthesis x =x=x, equals

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0

Answer:

x = -7

Step-by-step explanation:

−30=5(x+1)

Divide each side by 5

-30/5=5/5(x+1)

-6 =x+1

Subtract 1 from each side

-6-1 = x+1-1

-7 =x

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5

Step-by-step explanation:

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A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20
lisabon 2012 [21]

Answer:

30 square feet.

Step-by-step explanation:

We have to find the main area of the rectangle to determine the changes.

We know, Area of a rectangle = Length × Width

Given,

Length = 12 feet

Width = 5 feet

Therefore, the area of the rectangle = (12 × 5) Square feet.

The area of the rectangle = 60 square feet.

Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.

If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.

The new area of that rectangle = (15 × 6) square feet = 90 square feet.

The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.

5 0
3 years ago
Line n intersects lines 1 and m, forming the angles shown in the diagram below.
bija089 [108]

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

7 0
3 years ago
The green valley zoo has a new colony of 17 egyptian fruit bats. it costs the zoo 0.86 per day to feed each bat a variety of sof
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It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

it costs the zoo 0.86 per day to feed each bat a variety of soft fruits. Hence:

Cost of 17 egyptian fruit bats = $0.86 per day * 17 = $14.62

It costs the zoo 0.86 per day to feed each bat a variety of soft fruits, therefore the cost of 17 egyptian fruit bats would be $14.62

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
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