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notsponge [240]
3 years ago
6

There are 16 students working on a project if each student need 1/4 stick of clay are needed in all?

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

4 sticks of clay

Step-by-step explanation:

To find the total amount of clay needed, multiply the number of students by the amount need for each one of them.

16 · \frac{1}{4}

Multiply these by converting 16 into a fraction.

\frac{16}{1} · \frac{1}{4}

Multiply the numerators and denominators across.

\frac{16}{1} · \frac{1}{4}=\frac{16}{4}

Simplify this.

\frac{16}{4} =4

The total amount of clay needed is 4 sticks.

I hope this helps :) Good luck ^^

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One number is six more than a second number. four times the first is 10 less than 6 times the second. Find the numbers.
zavuch27 [327]

\sf{\bold{\blue{\underline{\underline{Given}}}}}

  • One number is six more than a second number.
  • four times the first is 10 less than 6 times the second.⠀⠀⠀⠀

\sf{\bold{\red{\underline{\underline{To\:Find}}}}}

  • Find the two numbers.⠀

\sf{\bold{\purple{\underline{\underline{Solution}}}}}

⠀⠀⠀⠀

In questions given,One number is six more than a second number.

if second number is a

first number is a+6.

and,

four times the first is 10 less than 6 times the second.

So,

4×(a+6)=6a-10

we have to solve this.

\bold{4\times (a+6)=6a-10   } 

\bold{4a+24=6a-10   } 

\bold{6a-4a=24+10   } 

\bold{2a=34   } 

\bold{ a=\dfrac{34}{2}  } 

\bold{ a=17  } 

we,get our second number =a=17.

So,

first number =a+6=17+6=23

5 0
2 years ago
Helppp i need answer now will give points
Papessa [141]

Answer:

f(g(3)) = 3

Step-by-step explanation:

We are told to solve for f(g(3)). This is also saying f of g of 3.

To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).

g(x) = 3(3) - 4

Solve.

= 9 - 4

g(x) = 5

Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).

f(5) = 2(5) - 7

Solve.

= 10 - 7

f(5) = 3.

f(g(3)) = 3

#teamtrees #WAP (Water And Plant)

4 0
3 years ago
Solve for equation √-5p=√24-p
blsea [12.9K]

Answer:


Step-by-step explanation:

Algebra Calculator | Latest | Discuss | About | Help | Translation

25,219,829 solved | 850 online

p2-5p-24=0  

Two solutions were found :

    p = 8

    p = -3  

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  p2-5p-24  

The first term is,  p2  its coefficient is  1 .

The middle term is,  -5p  its coefficient is  -5 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

      -24     +     1     =     -23  

      -12     +     2     =     -10  

      -8     +     3     =     -5     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    p2 - 8p + 3p - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-8)

             Add up the last 2 terms, pulling out common factors :

                   3 • (p-8)

Step-5 : Add up the four terms of step 4 :

                   (p+3)  •  (p-8)

            Which is the desired factorization

Equation at the end of step  1  :

 (p + 3) • (p - 8)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    p+3 = 0  

Subtract  3  from both sides of the equation :  

                     p = -3

Solving a Single Variable Equation :

2.3      Solve  :    p-8 = 0  

Add  8  to both sides of the equation :  

                     p = 8

8 0
3 years ago
sets of linear systems wherein there is one Consistent & Dependent, Consistent & Independent, and one Inconsistent.
Mamont248 [21]

Answer:

What is the difference between entering a formula and entering data ??

3 0
2 years ago
What is an estimation of 492.6 divided by 48
denpristay [2]
492.6/48 ~ To simply view this:

480/48 = 10
12.6/48 = 0.25 (roughly).
10.25 would roughly be your answer.

Though...
The actual answer is that:
12.6/48 = 0.2625
So... the answer: 10.2625 would be the answer.
Depending on where you have to estimate to:
10.2625
10.263
10.26
10.3

I hope that helps, have a great of your day! ^ ^
{-Ghostgate-}
4 0
3 years ago
Read 2 more answers
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