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3 years ago

Find the value of y for a given value of x, if y varies directly with x. If y = –96 when x = 32, what is y when x = 58?

Mathematics

1 answer:

Anit [1.1K]3 years ago

6 0

Attached the solution and work.

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Help asap I will mark brainliest if you solve both of these

Nutka1998 [239]

Answer:

2) k=17/45 and 4) 29/22

Step-by-step explanation:

4 0

3 years ago

The sum of three numbers is 180. If the first number is (2 x minus 11), and the second is (x minus 4) which expression represent

kirill115 [55]

Answer:

The third number is 195-3x

Step-by-step explanation:

Given:

sum of three numbers, a, b, c is 180.

a=2x-11

b=x-4

c= ?

Solution:

a+b+c = 180

2x-11 + x-4 + c = 180

c = 180 - (2x-11) - (x-4)

= 180 -2x+11 - x+4

= 180 + 11 + 4 -2x -x

= 195 -3x

8 0

4 years ago

Please help me with this-

bija089 [108]

Answer and Step-by-step explanation:

Section the figure into two 3D shapes.

We get both figures to be a rectangular prism.

The Volume of a rectangular prism is length times width times height.

V (of top Rectangular Prism) = 2 × 2 × 4 = 16

V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48

Now, we add those two volumes together to get the volume of the irregular figure.

16 + 48 = 64.

The volume of the irregular figure is 64 $cm^3$

#teamtrees #PAW (Plant And Water)

4 0

3 years ago

A can of beans has surface area 337 cm2. It's heights is 11cm. What is the radius of the circular top?

Karolina [17]

Answer:

3.66 cm

Step-by-step explanation:

r = Radius of cylinder

h = Height of the cylinder = 11 cm

A = Total surface area of the cylinder = $337\ \text{cm}^2$

Total surface area of a cylinder is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r(r+h)\\\Rightarrow \dfrac{A}{2\pi}=r^2+rh\\\Rightarrow r^2+rh-\dfrac{A}{2\pi}=0\\\Rightarrow r^2+11r-\dfrac{337}{2\pi}=0\\\Rightarrow r^2+11r-53.64=0\\\Rightarrow 100r^2+1100r-5364=0\\\Rightarrow r=\dfrac{-1100\pm \sqrt{1100^2-4\times 100\left(-5364\right)}}{2\times 100}\\\Rightarrow r=3.66,-14.65$

So, the radius of the circular top is 3.66 cm.

6 0

3 years ago

Reserve Problems Chapter 4 Section 5 Problem 2 A laptop company claims up to 10.1 hours of wireless web usage for its newest lap

Viktor [21]

Answer:

0.1151

Step-by-step explanation:

Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.

If X is the battery life then X is N(9.5, 0.5)

(we convert into one unit for calculations purpose here hours)

a) the probability that the battery life is at least 10.1 hours

= $P(X\geq 10.1)\\=P(Z\geq \frac{10.1-9.5}{0.5} )\\= P(Z\geq 1.2)\\=0.1151$

we get the probability that the battery life is at least 10.1 hours is 0.1151

4 0

3 years ago