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2 years ago

James used 30% of his savings to buy video games. If he had $60 dollars saved. How much does he have left

Mathematics

1 answer:

Korolek [52]2 years ago

3 0

Answer: $42 left

Step-by-step explanation:

30% of 60 = 18 60-18 leaves $42

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If y varies with x, and y=-20 and x=5, what is x when y=-30?

vladimir1956 [14]

If y = -30, then x = 7.5

Hope this helps.

3 0

3 years ago

Help please!!!!!!!!!!!!

Nady [450]

Answer:

Step-by-step explanation:

a. 1 & 2

b. 3 & 5

c. 2/15

d. 2/5 x 5/3

e. 10/15= 2/3

8 0

2 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

Solve the inequality x divided by 6 is less than or equal to 3

Alja [10]

Your inequality looks like this:
$\frac{x}{6} \leq 3$
To get rid of the /6, you need to multiply by 6 as the opposite operation cancels it out. So, all you need to do is multiply both sides by 6 to isolate x.
Therefore:
$x \leq 18$

6 0

3 years ago

11+m>15 what’s the answer for this problem?

hjlf

Answer:

m > 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

11 + m > 15

Step 2: Solve for m

Subtract 11 on both sides: m > 4

Here we see that any value m greater than 4 would work as a solution to the inequality.

6 0

2 years ago