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2 years ago

The sum of two consecutive integers is 75. What is the first number?

Mathematics

1 answer:

Ahat [919]2 years ago

3 0

Answer:

Step-by-step explanation:

n = 1st number

n+1 = next consecutive number

n + n+1 = 75

2n + 1 = 75

2n = 74

n = 37

n+1 = 38

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Mumz [18]

The answer is 12 percent change

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2 years ago

a music store marks up the instruments it sells by 30% if the store-bought a guitar for $45 what will be its store price

kirza4 [7]

Answer:

58.5

Step-by-step explanation:

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3 years ago

1 2 3 4 5 6 7 8 9 10

daser333 [38]

<h3>Answer:</h3>

2.25

<h3>Explanation:</h3>

Consider the square ...

... (x+a)² = x² +2ax +a²

The constant term (a²) is the square of half the x-coefficient: a² = (2a/2)².

The x-coefficient in your expression is 3. The square of half that is ...

... (3/2)² = 9/4 = 2.25

Adding 2.25 to both sides gives ...

... x² +3x + 2.25 = 6 + 2.25

... (x +1.5)² = 8.25 . . . . completed square

4 0

3 years ago

Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closin

worty [1.4K]

Answer:

For 4 years the money was in the account .

Step-by-step explanation:

Formula

$Simple\ interest = \frac{Principle\times Rate\times Time}{100}$

As given

Bonita deposited 1300 into a bank account that earned 5.75% simple interest each year.

She earned $299 in interest before closing the account.

Principle = $1300

Rate = 5.75%

Simple interest = $299

Putting all the values in the formula

$299 = \frac{1300\times 5.75\times Time}{100}$

$Time= \frac{299\times 100}{1300\times 5.75}$

$Time= \frac{29900\times 100}{1300\times 575}$

$Time= \frac{2990000}{747500}$

Time = 4 years

Therefore for 4 years the money was in the account .

8 0

3 years ago

In circle P, if the radius is 3 cm, what is the length of arc AD?

umka21 [38]

Hello there.

We have for a circle that:

$\ell=\alpha r$

Where:

$\ell$ is the measure of the arc

$\alpha$ is the measure of the angle (radians)

$r$ is the radius of the circle

In our case, we have $\alpha = 120^\circ = \dfrac{120}{180}\pi = \frac23\pi ~rad$

We have r = 3 cm, then:

$\ell = (\frac23\pi )(3\ cm)\\ \\ \boxed{\ell = 2\pi~cm}$

8 0

3 years ago