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Liono4ka [1.6K]
3 years ago
9

Three times a number r plus 8 is fewer than -12

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0

Step-by-step explanation:

3 × (r + 8) < 12

3r + 24 < 12

subtract 24 from each side

3r < -12

divide each side by 3

r < -1

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Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction
pentagon [3]

Answer: 1/4

Step-by-step explanation:

He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!

Your welcome :)

6 0
2 years ago
Find an equation for the plane through the points p=(0,0,0), q=(0,1,0), and r=(1,2,3)
jek_recluse [69]
Hello,

Assume Ax+By+Cz+D=0 the plane 's equation.

p=(0,0,0)==>A*0+B*0+C*0+D=0==>D=0

q=(0,1,0)==>A*0+B*1+C*0+0=0==>B=0

r=(1,2,3)==>A*1+0*2+C*3+0=0==>A=-3C
Let C=1==>A=-3

An equation of the plane is -3x+z=0


6 0
4 years ago
Solve the system of equations.<br> y=7x<br> y=2x + 20<br><br> x=?<br> y=?
alekssr [168]
X=4, y=28. 7x=2x+20, so subtract 2x from both sides and you’ll get 5x=20. Divide both sides by 5 and you’ll get x=4. Substitute this into the other equations and they will both equal 28.
6 0
3 years ago
Find the gradient and the intercept shown by the straight line 2x + 3y = 6 ​
sveta [45]

Answer:

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

Step-by-step explanation:

<h2>Equation of the line in slope intercept form:</h2>

      \sf \boxed{\bf y = mx +b}

Here m is the slope or gradient and b is the y-intercept.

Write the given equation in slope-intercept form.

  2x + 3y = 6

          3y = -2x + 6

            \sf y =\dfrac{-2}{3}x +\dfrac{6}{3}\\\\     y = \dfrac{-2}{3}x + 2

\sf gradient =\dfrac{-2}{3}\\\\ y -intercept = 2

6 0
2 years ago
Read 2 more answers
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). T
patriot [66]

Answer:

C'(4, 0)

Step-by-step explanation:

Translated 6 units to the right means that the x-value increases by 6.

1 unit up means y-value increases by 1.

(-5 + 6, -1 + 1)

(-2 + 6, -1 + 1)

The second point must be C, as the translation lines it up with one of the answers.

7 0
3 years ago
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