The circumference of earth’s moon is about 1091500000 cm. Write this number in scientific notation

What are the solutions to the equation 3x2 + 3x +7 = 0?

KATRIN_1 [288]

Answer:

x is equal to 0.94 and -1.94

Step-by-step explanation:

3x² + 3x + 7 = 0

9x² + 9x + 21 = 0

9x² + 9x + 2.25 = 18.75

(3x + 1.5)² = 18.75

3x + 1.5 = ±√18.75

3x = -1.5 ±√18.75

x = (-1.5 ±√18.75) / 3

x = 0.94, -1.94

7 0

3 years ago

Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his

attashe74 [19]

Package A is less expensive for Zach to send 250 multimedia texts each month.

Step-by-step explanation:

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

The cost of 250 multimedia texts by package A :

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

The cost of 250 multimedia texts by package B :

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.

6 0

3 years ago

Dilate point a in relation to the origin by a dilation factor of 5.?

IRINA_888 [86]

Answer:

origin dilation if 5. is 5

7 0

3 years ago

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of

cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

Explanation

Suppose, $x$ gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be: $(35-x)$ gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the distance traveled by the first car in $x$ gallons of gas $=35x$ miles and the distance traveled by the second car in $(35-x)$ gallons of gas $=15(35-x)$ miles.

Given that, the two cars went a combined total of 925 miles. So, the equation will be.....

$35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20$

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0

4 years ago

The equation of a line is x 3y = 14. what is the y-intercept of the line?

Mice21 [21]

y-intercept of the line would be 14 in that case.

SO, YOUR ANSWER IS 14

8 0

3 years ago