Ask question

Ask question

All categories

3 years ago

12

Twice a number decreased by 8 is 2 less than half the number. What is the number?

2 answers:

iogann1982 [59]3 years ago

8 0

Answer:

18

Step-by-step explanation:

2x - 8 = x + 10

- x - x

x - 8 = 10

+ 8 + 8

x = 18

zhuklara [117]3 years ago

7 0

Answer:

18

Step-by-step explanation:

set up an equation and solve

You might be interested in

I need this answered in ONE minute

Helen [10]

Answer:

$x^4 + 4x^3 + 6x^2 + 7x + 2$

Step-by-step explanation:

We are asked to multiply the given polynomials.

$(x^ 2 + 3x + 1) \times (x^2 + x + 2)$

Multiply each term of the first polynomial to each term of the second polynomial.

$x^ 2 \times (x^2 + x + 2) = x^4 + x^3 + 2x^2$

$3x \times (x^2 + x + 2) = 3x^3 + 3x^2 + 6x$

$1 \times (x^2 + x + 2) = x^2 + x + 2$

Add the results

$(x^4 + x^3 + 2x^2) + (3x^3 + 3x^2 + 6x) + ( x^2 + x + 2)$

Combine the like terms

$x^4 + 4x^3 + 6x^2 + 7x + 2$

The answer is written in descending powers of x.

7 0

2 years ago

Suppose the dealer incentive per vehicle for honda's acura brand in 2012 is thought to be bell-shaped and symmetrical with a mea

andreev551 [17]

Answer:

From $1600 to $3400.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 2500

Standard deviation = 300

What interval of dealer incentives would we expect approximately 99.7% of vehicles to fall within?

By the Empirical Rule, 99.7% fall within 3 standard deviations frow the mean. So

From 2500 - 3*300 = 1600 to 2500 + 3*300 = 3400.

8 0

3 years ago

Need help asap please!!!

Alona [7]

Answer:

-6,-4

Step-by-step explanation:

The coordinates of the point is -2,2 so you subtract 4 and 6. That is -6.-4

Hope this helps plz mark brainliest :D

6 0

3 years ago

Read 2 more answers

If the scale factor between two circles is 7a/9b what is the ratio of their areas?

RideAnS [48]

<span>. 49a2/81b2
I think the answer is B)</span>

5 0

2 years ago

Read 2 more answers

Need help on these trig homework

allochka39001 [22]

8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

A = 44°

B = 52°

4. c = 88. 6 mm

b = 49. 1 m

B = 34°

<h3>How to solve the trigonometry</h3>

8. We have the angle to be 20 degrees

Opposite side = x

hypotenuse = 23m

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 20 = \frac{x}{23}$

Cross multiply

$sin 20$ × $23 = x$

$x = 0. 3420$ × $23$

x = 7. 9 m

The length of the support is 7. 9 m

9. The angle of elevation is 37. 3 degrees

Hypotenuse = 19 . 0m

Opposite = x

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 37. 3 = \frac{x}{19}$

cross multiply

$x = 0. 6059$ × $19$

x = 11.5

x = 12 m in 2 significant figures

The length of the conveyer is 12m

3. To determine the sides and angles, we use the sine rule;

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}$

For side a, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$85^2 = a^2 + 67^2$

$a = \sqrt{89^2-67^2}$

$a = \sqrt{3432}$

a = 58. 58, a = 59m

To find angle A and B, use the sine rule

$\frac{59}{sin A } = \frac{85}{sin 90}$

cross multiply

$sin A$ × $85$ = $sin 90$ × $59$

make sin A subject of formula

$sin A = \frac{59}{85}$

$sin A = 0. 6941$

A = $sin^-^1(0. 6941)$

A = 44°

$\frac{67}{sin B} = \frac{85}{sin 90}$

cross multiply

$sin B$ × $85$ = $sin 90$ × $67$

make sin b subject of formula

$sin B = \frac{67}{85}$

$sin B = 0. 7882$

B = $sin^-^1( 0. 7882)$

B = 52°

4. To find the sides, we use the sine rule;

$\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}$

Cross multiply

$sin 56. 6$ × $c = sin 90$ × $74$

make 'c' subject of formula

$c = \frac{74}{0. 8348}$

c = 88. 6 mm

To find length b, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$b^2 = c^2 - a^2$

$b^2 = 88. 8^2 - 74^2$

$b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}$

b = 49. 1 m

$\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}$

cross multiply

$sin B = \frac{40. 99}{74. 0}$

B = $sin^-^1(0. 5539)$

B = 34°

Learn more about trigonometric identity here:

brainly.com/question/7331447

#SPJ1

3 0

1 year ago