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3 years ago

I need help with this, please!

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

6 0

Option D: $x \geq 3$ is the solution

Explanation:

The given expression is $3 x-1 \geq 8$

We need to determine the solution of the expression.

Solution:

The solution of the expression can be determined by solving the expression for the variable x.

Thus, we have,

$3 x-1 \geq 8$

Adding both sides of the expression by 1, we get,

$3x\geq 9$

Dividing both sides of the expression by 3, we get,

$x \geq 3$

Thus, the solution of the expression is $x \geq 3$

Hence, Option D is the correct answer.

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There are 27 red or blue marbles in a bag. The number of red marbles is five less than three times the number of blue marbles. H

sveticcg [70]

The number of red marbles in the bag is 19 and the number of blue marbles is 8.

Explanation:

Let R be the number of red marbles

Let B be the number of blue marbles

According to the question,

R + B = 27 (Total number of marbles is 27 ) -1

R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles )

Substitute the right half of the second equation for R in the first equation

3B - 5 + B = 27

Add 5 to each side and combine the Bs

4B = 32

Divide both sides by 4

B = 8

Use this value of B in the first equation

R + 8 = 27

R = 19

Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.

7 0

3 years ago

Factoring quadratic expressions with leading coefficient 1

elena55 [62]

Answer:

It is a letter with ^ before the expression.

7 0

3 years ago

Which is the same as 98.52 ÷ 10?

wlad13 [49]

Moving the decimal over one space to the left. (9.852)

Explanation:
If you multiply a decimal by 10 the decimal point will move one space to the right to make a bigger number. But, if you divide by 10, it will move one space to the left to make a smaller number. (÷ means left, x means right) The The rule is, however many 0’s you have after the 1, that is how many spaces you move your decimal point. For an example if I wanted to multiply or divide a decimal by 100, I would move the decimal point 2 spaces over instead of just one because the number 100 had two 0’s after the one.This rule will not work with numbers like 20, or 150, because they are not multiples of 10 like the other numbers. Numbers that will work are 10, 100, 1000, 10000, 100000 and so on.

Sorry this is so long, I just wanted to make sure you understand because I had trouble with it when I was learning it.

6 0

3 years ago

Factor the expression using the Greatest common factor 27k-6................ And 5x +60y

Alexandra [31]

27k -6 is equal to 3(9k - 2 )
and 5x +60 is equal to 5(x + 12) :)))
i hope this is helpful
have a nice day

8 0

3 years ago

Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third

KIM [24]

We know form our problem that the third day she biked 20 miles, so we have the point (3,20). We also know that on the eighth day she biked 35 miles, so our second point is (8,35).

To relate our two point we are going to use the slope formula: $m= \frac{x_{2}-x_{1}}{y_{2}-y_{1}}$
We can infer form our points that $x_{1}=3$ , $y_{1}=20$ , $x_{2}=8$ , and $y_{2}=35$ . so lets replace those values in our slope formula:
$m= \frac{35-20}{8-3}$
$m= \frac{15}{5}$
$m=3$

Now that we have the slope, we can use the point-slope formula determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: $y-y_{1}=m(x-x_{1})$
$y-20=3(x-3)$
$y-20=3x-9$
$y=3x+11$

We can conclude that the equation of the line that best fit the set for Maggie’s data is $y=3x+11$ .

3 0

3 years ago