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NARA [144]
3 years ago
13

Solve the inequality: –3(–3x – 4) < 66

Mathematics
1 answer:
hjlf3 years ago
5 0

Answer:

The answer is 9x+12  

Step-by-step explanation:

You can't add a number with a variable to a number without a variable.

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The measures of two angles of a triangle are 25° and 87°. Is the triangle acute, right, or obtuse? Explain.
iVinArrow [24]
The answer is A all three angles are acute (less than 90°)
3 0
3 years ago
Convert 5.100 × 10-3 to ordinary notation.<br> a.0.0005100<br> b.0.005100<br> c.510.0<br> d.5100
kondor19780726 [428]
5.100 x 10⁻³ = 5.100 x 0.001
                    = 0.005100      (shift the decimal point for 5 by 3 units left)

Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000

           0.0051
         ---------------
1000 | 5.100
           5000
           -------------
              1000
              1000
            
This yields the same result.

Answer: b. 0.005100
4 0
3 years ago
Match the base and height to the volume of the prism.<br><br> B = 6 square units<br> h = 12 units
Finger [1]

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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

D. a base area of 16y² square units and height of y² + y + 3 units

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

7 0
3 years ago
Read 2 more answers
Christopher purchased 3 4/12 lbs. of grapes and Deborah purchased 1 6/12 lbs. of grapes. How many total pounds of grapes did the
Finger [1]

Answer:

They purchased 4.83 pounds together

Step-by-step explanation:

Worked it out on paper its 4.83

4 0
3 years ago
Read 2 more answers
PLEASE help me i will make brainliest if correct
Setler [38]

Answer:

neither

Step-by-step explanation:

there is only one side on the big triangle and each of the little ones

4 0
3 years ago
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