Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21

Answer:

Option C.

Step-by-step explanation:

First, simplify the inequality. Add 2 to both sides:

4v - 2 < 10

4v - 2 + 2 < 10 + 2

4x < 12

Divide both sides by 4:

4x ÷ 4 < 12 ÷ 4

x < 3

As 3 will not satisfy the inequality, it is not a solution. The option that shows x being less than 3 but not including is option C.

Hope this helps!

Answer:

The first one.

Step-by-step explanation:

Functions do not have repeating x values.

Answer: C

Step-by-step explanation:

We want to find the moon's gravitational acceleration.

With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2

We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:

p(t) = (-g/2)*t^2 + H

In this case, we know that a feather falls 81.25cm in one second.

First, we can define H = 0 (because we can put the zero of the position where we want to)

Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:

p(1s) = -0.8125 m = (-g/2)*(1s)^2

Where the negative sign comes because the feather "falls" and we define the negative position as below.

Also notice that we did a change of units from centimeters to meters, by knowing that:

100cm = 1m

then:

81.25cm = 0.8125m

Now we just need to solve:

-0.8125 m = (-g/2)*(1s)^2

0.8125 m = (g/2)*(1s)^2

2*0.8125 m = (g)*1s^2

1.625 m = g*1s^2

(1.625 m)/(1 s^2) = g

We then can conclude that the moon's gravitational acceleration is:

g = 1.625 m/s^2

If you want to learn more,, you can read:

https://brainly.com/question/3009841

Answer:

[tex] \frac{ - 6}{3} \times \frac{ - 9}{2} = \frac{6 \times 9}{6} = 9[/tex]

Answer: -13 and 64

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Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

Step-by-step explanation:

A=D+qm

qm = A - D

q =(A-D) /m

Answer:

q = (A - D)/m

Step-by-step explanation:

A = D + qm

A - D = qm

(A - D)/m = q

So, the solve for q is q = (A - D)/m

Answer:

x= -3

Step-by-step explanation:

The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x

Answer:

y = $7.50x + $13.50

Step-by-step explanation:

I need the whole question, but I am guessing you need the equation above

Have a nice day! :-)

Answer:

$21.00

Step-by-step explanation:

$13.50+$7.50=$21.00

Answer:

The answer is 84

Step-by-step explanation:

The maximum distance between them is the diameter of the circle, which is of 44 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The diameter is twice the radius, and is the maximum distance between two points on the same circle.

They are running on a circular path, modeled by:

[tex]x^2 + y^2 - 10x - 18y = 378[/tex]

Completing the squares, the equation is:

[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]

Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.

A similar problem is given at https://brainly.com/question/25008198

Hello!

Answer:

The answer is C

Step-by-step explanation:

I wrote it in to my graphing calculator

Hope this helps!

Answer:

Domain: [-2, ∞)

Range: [-4, ∞)

General Formulas and Concepts:

Algebra II

Coordinate Planes

Step-by-step explanation:

According to the graph, we see that our x-value stretches from x = -2 to infinity. Since x = -2 is a closed dot, it is included in the domain:

[-2, ∞) or -2 ≤ x < ∞

According to the graph, we see that our y-value stretches from y = -4 to infinity. Since y = -4 is a closed dot, it is included in the range:

[-4, ∞) or -4 ≤ y < ∞

Answer:

238 miles

Step-by-step explanation:

Subtract total cost with truck fee cost which makes it 228.48 then divide by the cost of each mile driven which is 96 cents, so it would be 238 miles

Hope this helps :)

Answer:  x = 6

Step-by-step explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

       60 = 10x - 6 + x

 60 + 6 = 11x

         6 = x

Answer:

[tex] \frac{ {( - 3)}^{7} {(11)}^{9} {(13)}^{ - 3} }{ {( - 3)}^{5}(11) {(13)}^{ - 3} } \\ \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} {(13)}^{ - 3} }{ {(13)}^{ - 3} } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{ {(13)}^{3}( \frac{1}{ {(13)}^{3} }) } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{1} \\ \\ \\ = {( - 3)}^{2} {(11)}^{8} [/tex]

I hope I helped you^_^

[tex]e−mc {}^{2} [/tex]

[tex]e - {c}^{2} m[/tex]

Answer: your answer is correct because if you put that equation into y=mx+b form you get y=1/2x-1

so you start at -1 and go over 2 and up 1 and you woulld land on 2

so you would graph at (2,-1) i think

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

Step-by-step explanation:

if you want it on a number line put a closed circle around the 30 and draw the line till 60 and put a closed circle.

Answer: 231/10

Step-by-step explanation: 11/5 x 21/2

= (11 x 21) = 231  

= 231/5 x 2

=  231/10

Answer:

3 hours

Step-by-step explanation

It would be easier to convert your fractions into decimals.

1/5 is the same as 2/10.  Since the denominator was multiplied by 2 then the numerator must be multiplied by 2 also.

2/10 in decimal form is 0.2

He would practice 1.2 hours per day on school days

On Saturday his practice is 2 1/2 times longer than 1.2 hours.

Convert 1/2 into decimal form. 1/2 is the same as 0.5.

So 2 1/2 is the same as 2.5

If you multiply the original time (1.2 hours) by 2.5, you'll know how long he practices on Saturday.

1.2 x 2.5  = 3 hours.

    1.2

 x 2.5

  -------

     60

   24  

------------

   300          

since you have 1 decimal place in the top number and 1 decimal in the bottom number, you must move your decimal 2 places to the left on your answer.  Instead of 300, your answer becomes 3.00

Answer:

The x-axis

Step-by-step explanation:

This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.

So, the line is [tex]y=0[/tex], i.e. the x-axis.

So, graph the x-axis and we're done!

8x² - 24 = 8 (x² - 3)

Answer:

10 percent is the answer

Answer: 1/100 or 0.01

The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

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