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3 years ago

What is x 135=-1+45x

Mathematics

2 answers:

agasfer [191]3 years ago

6 0

Answer:

x= 3.02

Step-by-step explanation:

135 = -1 + 45x

+1 +1

136/45= 45x/45

x = 3.02

dedylja [7]3 years ago

4 0

Answer:

X = 3.02

Step-by-step explanation:

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Julia is going to the store to buy candies. Small candies cost $4 and extra-large candies cost $12.She needs to purchase at leas

BartSMP [9]

Answer:

Small candies $=9$

Extra large candies $=12$

Step-by-step explanation:

Let small candies $=x$

Extra large candies $=y$

the number of candies is at least $20$ .

$x+y\geq20$

Cost of $1$ small candy $=\$4$

Cost of $1$ extra large candy $=\$12$

but she has only $\$180$ to spend

$4x+12y\leq180$

Solve for

$x+y=20.......(1)\\4x+12y=180.....(2)\\eqn(2)-eqn(1)\times4\\8y=100\\y=\frac{100}{8} \\y=\frac{25}{8} \\from\ eqn(1)\\x+\frac{25}{2}=20\\ x=20-\frac{25}{2} \\x=\frac{15}{2}$

Since number of candies should be integer.

let $x=7,y=13$

total spend $4\times7+12\times13=184$ which is more than $\$180$ , so this combination is not possible.

$let\ x=8,y=12\\8\times4+12\times12=176$

She has $\$4$ more so she can buy $1$ more small candy.

Hence small candy $=9$

extra large candy $=12$

4 0

3 years ago

Using geometry, calculate the volume of the solid under z=64−x2−y2and over the circular disk x2+y2≤64

Anarel [89]

Perhaps you mean to find the volume under $z=\sqrt{64-x^2-y^2}$ ? It seems like you have to rely on calculus otherwise (in the case that you indeed mean $z=64-x^2-y^2$ ).

Assuming this, note that $z=\sqrt{64-x^2-y^2}$ describes the top half of a sphere with radius 8, which means the volume below this surface over the disk $x^2+y^2\le64$ is simply half the volume of the sphere. Thus the volume is

$\dfrac43\pi8^3=\dfrac{2048}3\pi$