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algol [13]
3 years ago
9

Jerry is filling his sand pail and pouring the sand into a large bucket. Jerry's Paul holds 2 3/4 and the large bucket holds 30

pounds of sand. Can the bucket hold 8 of Jerry's pails full of sand?
Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

Answer:

The bucket can hold 8 of Jerry's pails full of sand.

Step-by-step explanation:

Jerry is filling his sand pail and pouring the sand into a large bucket.

Now, Jerry's pail holds 2\frac{3}{4} i.e. \frac{11}{4} pounds and the large bucket holds 30 pounds of sand.

Therefore, 8 of Jerry's pails full of sand holds (8 \times \frac{11}{4}) = 22 pounds of sand.

Since, 22 pounds < 30 pounds

Therefore, the bucket can hold 8 of Jerry's pails full of sand. (Answer)

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What is the equation of the line that passes through the points (–2, 2) and (0, 5)?
lana66690 [7]

Answer:

The equation of line is given by

y=\frac{3}{2}x+5

Step-by-step explanation:

We have been given the points (–2, 2) and (0, 5) and we have to find the equation of the line.

Let us first find the slope of the line using the formula

m=\frac{y_2-y_1}{x_2-x_2}

On substituting the values, we get

m=\frac{5-2}{0+2}

m=\frac{3}{2}

Now, using the point slope form, the equation of line is given by

y-y_1=m(x-x_1)\\y-2=\frac{3}{2} (x+2)\\\\y-2=\frac{3}{2}x+3\\\\y=\frac{3}{2}x+5

Therefore, the equation of line is given by

y=\frac{3}{2}x+5

6 0
4 years ago
Read 2 more answers
X^2 + 4x + 4 = 10<br>please help!! I missed class! show steps!​
lina2011 [118]

Answer:

x = √(10) - 2, -√(10) - 2

Step-by-step explanation:

x² + 4x + 4 = 10

factor:

(x + 2)² = 10

take square root of both sides:

x + 2 = ±√(10)

split into 2 equations:

x + 2 = √(10)      x + 2 = -√(10)

solve both equations and collect solutions:

x = √(10) - 2, -√(10) - 2

3 0
3 years ago
Simplify: -|-15|<br><br> please answer correctly i'll give brainliest and 5-star rating.
12345 [234]

Answer:

-15

Step-by-step explanation:

<u>Definition of absolute value: </u>

<em>Distance from zero on a number line. </em>

<em />

Imagine a number line with 0 in the middle of it. Now mark the number 3 on it. Also mark the <em>opposite </em>of 3, which is -3. What is the <u>distance</u> from zero to those 2 points? it's 3.

This is exactly like saying |3| = 3 and |-3| = 3

Even if the number inside absolute value is negative, it <em><u>simplifies</u></em> to the positive of the same number.

_______________________________

So let's talk about your problem.

-|-15|

> the absolute value simplifies to 15

-|-15| = - 15

So that ends up being your answer.

-15

Hope this helps!!!!!!!

7 0
3 years ago
What's the answer to 4x + 6 = 2 ( 3x - 4 )
Tcecarenko [31]
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span>Step 1: Simplify both sides of the equation.
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span><span><span><span>4x</span>+6</span>=<span><span><span>(2)</span><span>(<span>3x</span>)</span></span>+<span><span>(2)</span><span>(<span>−4</span>)</span></span></span></span>(Distribute)
<span><span><span>4x</span>+6</span>=<span><span><span>6x</span>+</span>−8
</span></span>
<span><span /></span><span><span><span>4x</span>+6</span>=<span><span>6x</span>−8
</span></span>
<span><span /></span>Step 2: Subtract 6x from both sides.
<span><span><span><span>4x</span>+6</span>−<span>6x</span></span>=<span><span><span>6x</span>−8</span>−<span>6x
</span></span></span>
<span><span><span /></span></span><span><span><span>−<span>2x</span></span>+6</span>=<span>−8
</span></span>
<span><span /></span>Step 3: Subtract 6 from both sides.
<span><span><span><span>−<span>2x</span></span>+6</span>−6</span>=<span><span>−8</span>−6
</span></span>
<span><span /></span><span><span>−<span>2x</span></span>=<span>−14
</span></span>
<span><span /></span>Step 4: Divide both sides by -2.
<span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−14</span><span>−2
</span></span></span>
<span><span><span /></span></span><span>x=7
</span>
<span />
8 0
4 years ago
Read 2 more answers
HELP PLZ DONT TROLL I NEED THIS ITS DUE NEXT PEROID
Savatey [412]

Answer:

4x -4 24

Step-by-step explanation:

Remember distribution, 4 × x then 4 x -6

7 0
3 years ago
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