MATHEMATICS HIGH SCHOOL

Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent this situation, where x represents Oscar’s age.

Answers

Answer 1

Answer:

Let Oscar be x years old
Lois is x+3 years old

ATQ

$\n \sf\longmapsto x+x+3\leqslant 20$

$\n \sf\longmapsto 2x+3\leqslant 20$

$\n \sf\longmapsto 2x\leqslant=17$

$\n \sf\longmapsto x\leqslant (17)/(2)$

Answer 2

Answer:

Answer:

let Oscar's years be x

• Oscar → x

• Lois → (x+3)

${ \rm{x + (x + 3) \leqslant 20}} \n \n { \boxed{ \rm{2x + 3 \leqslant 20}} }$

Related Questions

the number of hours that college freshman spend studying each week is normally distributed with a mean of 8 hours and a standard deviation of 5.5 hours. what percentage of students spend between 2.5 and 19 hours each week?
Solve allgebraically for x: log base 27 (2x-1)=4/3
What is the ratio for 3,27,243and 2187
you are facing east. you turn left, then left again, then about face, then right. which direction are you finally facing?
Does anyone know the answer to this. m =1, (-4, -6)

What is 42 percent of 85000

Answers

35700 (updated)how to work it (calculator):85000×42%=35700by hand:85000×.42=35700

42% of 85000=35700 ....

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 1?

Answers

Answer:

Step-by-step explanation:

Distributive property

a(b - c) = ab - ac

3(x-4) = 3*x - 3*4

= 3x - 12

Lorenzo is a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year, what was his rate of commission?A. 33%

B. 28%

C. 46%

D. 61%

Answers

Since, a salesman whose base pay plus commissions amounted to $53,393 last year. If his base pay was $24,650 and he made $87,100 in sales last year. We have to evaluate the rate of commission.

Let the rate of commission be 'r%'.

Therefore,

24,650 + (87,100 of r%) = 53,393

$24,650 +(87,100 * (r)/(100))= 53,393$

$(87,100 * (r)/(100))= 53,393-24,650$

$(87,100 * (r)/(100))= 28,743$

$87,100 * {r}= 28,743 * 100$

$87,100 * {r}= 2874300$

${r}= (2874300)/(87100)$

r = 33%

Therefore, the rate of commission is 33%.

33%
The Answer is Choice D.

nadia wants to enclose a square garden with fencing has an area of 141 ft.² to the nearest foot how much fencing will she need explain

Answers

We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:

$Area=a^(2)\n141=a^(2)\na=√(141)=11.874$

We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.

Hence, we can write:

$\text{Amount of fencing}=\text{Perimeter of square}$

$\text{Amount of fencing}=4a=4(11.874)=47.496$

Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.

How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?Two
Many
None
One

Answers

Answer:

many solutions

Step-by-step explanation:

4n + 6 = 4 + 2 + 4n

We try to solve for n

we try to get the variable alone

4n + 6 = 4 + 2 + 4n

combine like terms

4n + 6 = 6 + 4n

subtract 4n from both sides

6=6

If we arrive at a true statement like 5=5 then the equation has infinitely many soltions

We arrived at a true statement 6=6 so infinitely many solutions

4n+6=4+2+4n, well first combine like terms, 4n+6=6+4n and those are exactly the same, there's no magical n that can make 4n+6 not equal 4n+6, so many

Removing which point from the coordinate plane would make the graph a function of x? On a coordinate plane, points are at (negative 2, negative 3), (negative 2, 1), (negative 4, 3), (0, 4), (1, 1), and (2, 3).