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3 years ago

Simplify the expression: 10t - 40 + 3t + t

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

Your <u>correct</u> answer is 14t - 40

Step-by-step explanation:

Combine like terms:

10t + 3t + t = 14t

Since there are no other integers, just tag on the -40:

14t - 40

**please mark brainliest!!

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The length of each side of a square was decreased by 2 inches so the perimeter is now 49 inches. What was the original length of

aleksley [76]

The Original length of each side of square was 14.25 inches.

Step-by-step explanation:

Perimeter of a square is given by:

Perimeter = 4 * side

Let x be the original length of each side of square

decreasing 2 inch will mean

$x-2$

Perimeter of square after reducing 2 inches from each side

$4(x-2) = 49\\4x-8 = 49\\4x = 49+8\\4x = 57\\\frac{4x}{4} = \frac{57}{4}\\x = 14.25$

So,

The Original length of each side of square was 14.25 inches.

Keywords: Perimeter, square

Learn more about perimeter at:

#LearnwithBrainly

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3 years ago

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3 years ago

Find the area of the shaded region in the polygon below.

mezya [45]

Answer:

Step-by-step explanation:

I multiply 3 and 7 that give 35

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3 years ago

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A manager needs to rope off a rectangular section for a private party. The length of the section must be 7.6 meters. The manager

Andrew [12]

Answer:

$W\leq 6.4\ m$

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

we know that

$L=7.6\ m$

$P\leq28\ m$

substitute

$2(7.6+W)\leq28$

solve for W

$(7.6+W)\leq14$

$W\leq14-7.6$

$W\leq 6.4\ m$

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3 years ago

License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactu

netineya [11]

Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.

Fundamental counting theorem:

States that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

In this problem:

Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence $n_1 = n_2 = n_3 = 26$ .

For the 3 numbers, there are 10 outcomes, hence $n_4 = n_5 = n_6 = 10$

Then:

$N = 26^3 \times 10^3 = 17576000$

17,576,000 different license plates can be manufactured.

To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866

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2 years ago