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Juli2301 [7.4K]
2 years ago
12

Write the grammatical sentence as an algebraic one: Nine less than half a number is twenty-four. ​

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
8 0
Answer:

x/2-9=24

Explanation:

Nine less:
-9
Half a number:
x/2
So nine less than half a number:
x/2-9
Is 24:
=24

So x/2-9=24

To solve for the number:
Add 9 to both sides:
x/2-9+9=24+9
x/2=33
Multiply both sides by 2:
2(x/2)=33(2)
x=66
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What is equivalent to12/18
solmaris [256]
  <span>2/3 and 24/36 and 6/9 
for 2/3 just dvide by 6, 24/36 just multiply both terms by 2 and for 6/9 just divide by 2</span>
3 0
3 years ago
Read 2 more answers
PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag
Svetllana [295]

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

Bag 1: 50-3x

Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

25 = 5x/2

-> 50 = 5x

-> x = 10

So plug x bag in for the original equations:

Bag 1: 50-3x = 50-3(10) = 20

Bag 2: 50-x = 50-10 = 40

4 0
3 years ago
Please help me. 5(m-7)=-8(3m+8)
inessss [21]

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

7 0
3 years ago
A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 mc015-1.jpg of sand. Jared says that the
exis [7]
The correct answer is C. So, lets go first to the equations that determine the volume of these solids. For the cylinder, that is simple; pi*r*r*h where r is the radius, h is the height and pi is the constant 3.14. For the cone, it is not easy to derive but one gets that the formula is:\frac{ \pi*r^2*h}{3}.

We notice thus that V_{cyl}=\pi*r^2*h=3V_{cone}. That holds irrespective of their radius or height; we only need to know that the heights and radii of the two objects are the same. Now, we have thus that:
\frac{V_{Cyl}}{V_{Cone} } =1/3.

We can check if this holds for Jared's statement; 1178/4712=0.25=1/4. So, it does not hold and thus Jared's statement is incorrect.
6 0
3 years ago
Read 2 more answers
3x - y = 7 6x - y = 10 When solving this system of equations by elimination, which could be the resulting equation when a variab
max2010maxim [7]
It depends on which variable is eliminated.

If you multiply the second equation by -1 and eliminate the y:
3x - y = 7
-6x + y = -10
-3x = -3 or x = 1
 
If you multiply the first equation by -2 and eliminate the x:
-6x + 2y = -14
6x - y = 10
y = -4


6 0
3 years ago
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