MATHEMATICS MIDDLE SCHOOL

A store sells 2 1/4 pounds of mulch for every 1 1/2 pounds of gravel sold. The store sells 180 pounds of mulch and gravel combined. How many pounds of each item does the store sell?

Answers

Answer 1

Answer:

Answer:

The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.

Step-by-step explanation:

Let

x -----> pounds of mulch the store sells

y ----> pounds of gravel the store sells

we know that

$x+y=180$ -----> equation A

Remember that

$2(1)/(4)\ lb=(2*4+1)/(4)=(9)/(4)\ lb$

$1(1)/(2)\ lb=(1*2+1)/(2)=(3)/(2)\ lb$

$(x)/(y)=((9/4))/((3/2))$

$(x)/(y)=(3)/(2)$

$x=(3)/(2)y$ -----> equation B

solve the system by substitution

substitute equation B in equation A

$(3)/(2)y+y=180$

solve for y

$(5)/(2)y=180$

$y=180(2)/5\ny=72$

Find the value of x

$x=(3)/(2)(72)=108$

The solution is the ordered pair (108,72)

therefore

The pounds of mulch the store sells are 108 and the pounds of gravel the store sells are 72.

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This graph represents the function (see picture) a= ___ b= ___

Answers

Answer:

a=1, b=-12

Step-by-step explanation:

This is a rational function with a hole at x=3 and a vertical asymptote at x=-4.

The denominator of this rational function must be:

$(x - 3)(x + 4)$

When we expand using the distributive property, we get:

${x}^(2) + 4x -3 x - 12$

This simplifies to

${x}^(2) + x - 12$

Therefore the graphed rational function is:

$f(x) = \frac{ {x}^(2) - 4x + 3 }{ {x}^(2) + x - 12 }$

Comparing this to

$f(x) = \frac{ {x}^(2) - 4x + 3 }{ {x}^(2) +a x + b}$

We have

$a = 1$

and

$b = - 12$

Is 6/7 greater than 4/6?

Answers

Yes, because 6/7 is the same as 36/42 and 4/6 is the same as 28/42. It is easy to see that 6/7 is greater than 4/6

yes, because there are smaller pieces than 4/6.

The cone shown has a radius of 6 inches and a slant height of 10 inches. What is the total surface area of the cone? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

To find the total surface area, we can use the formula
A=3.14*r*l + 3.14*r^2
In this case, the radius is 6 and the slant height
Therefore, the equation to find the surface area is:
A = 3.14 * 6 * 10 + 3.14 *6^2
When simplified, we find that the surface area is about 301.44
Therefore, the answer rounded to the nearest whole is 301

Hope this helped!! :D

A=π•r•l+π•r²
A=3.14•6•10+3.14•6²
A=188.4+113.04
A=301.44 =301

Omggg plsss help again

Answers

Answer:

The answer Is D

Step-by-step explanation:

The side that is similar is PQ. Have a good day

a baseball diamond is shaped like a square the perimeter perimeter is 360 feet what is the length of each side

Answers

360/4=90 you need to take the 360 feet and divide it by 4 (sides) to get 9o feet per side.

you need to divide the permimeter by 4 because a square has 4 sides
360/4=90
each side length is 90 feet

0.009 ia 1/10 of what number?

Answers

0.09 All you need to do is multiply 0.009 and 10

0.09
0.009 = 1/10 x
x= 0.009*10
move the decimal to one digit to the right when multiplying with 10s

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