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3 years ago

7 What is the solution set for - 4x -10 < 2?

Mathematics

1 answer:

alex41 [277]3 years ago

6 0

Answer:

$x\g{-3}$

Step-by-step explanation:

given $-4x-10\l{2}$

$-4x\l{12}$

$4x\g{-12}$

$x\g{-3}$

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(2.5×10-8)(9×10-10)

IgorC [24]

Answer:

1360

Step-by-step explanation:

First, you do all the operations inside the parenthesis, and then you multiply the two. Also, remember the order of operations. Multiplication always comes before addition and subtraction.

(2.5x10-8)(9x10-10)

(25 - 8)(90 - 10)

(17)(80) = 17x80 = 1360

4 0

3 years ago

In order to start a small business, a student takes out a simple interest loan for $3000.00 for 3 months at a rate of 11.25%.

ikadub [295]

I also do not understand this question. Help please

8 0

3 years ago

Write the following in slope-intercept form.

Umnica [9.8K]

Answer:

$\huge\boxed{y=4x-7}$

Step-by-step explanation:

Linear equations will always be in the form $y=mx+b$ , where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ( $\frac{\Delta y}{\Delta x}$ ), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a $17-1=16$ change.

The x value goes from 2 to 6, which is a $6-2=4$ change.

Now that we know both changes, we can divide the change in y by the change in x.

$\frac{16}{4}=4$

Now that we know the slope (4), we can plug it into our equation ( $y=mx+b$ ).

$y=4x+b$

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

$1 = 4(2) + b$

$1 = 8+b$

$b = 1-8$

$b = -7$

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

$y=4x-7$

Hope this helped!

4 0

3 years ago

Amir has a stand where he sells lemonade for $1.00 per cup and packages of chocolate chip cookies for $1.50. If he earns $280 on

nikdorinn [45]

Answer:

160 cups of lemonade and 80 packages of cookies.

Step-by-step explanation:

l = lemonade

c = cookies

l+1.5c=280

2c=l

Substitute.

3.5c=280

Simplify.

c=80

Substitute into the second equation.

l=160.

Plug it back into the equations to check.

3 0

4 years ago

Clea attends music lessons every 2 weeks, dance class every 3 weeks, and has a dental appointment every 6 weeks. If she attends

Basile [38]

In 6 weeks.

For this problem, you need to determine the least common multiple of the numbers given which is 2, 3, and 6. You can calculate the LCM of multiple numbers by pairs.

The LCM of 2 and 3 is 6 because 6 is the smallest possible number that can be evenly divided by both 2 and 3.

Now you need the LCM of 6 and 6. Which is also 6, because 6 is the smallest number that can be evenly divided by 6.

So the LCM of 2, 3, and 6 is 6. So in 6 weeks, Clea will once again have a music less, attend dance class, and have a dental appointment, all during the same week.

7 0

4 years ago