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vagabundo [1.1K]
3 years ago
7

Which value is a solution of the inequalityx∕5 + 2 ≤ 6?

Mathematics
2 answers:
avanturin [10]3 years ago
6 0

Answer:

B

Step-by-step explanation

the answer comes to x\leq 20 and 15 is the only answer below 20

Burka [1]3 years ago
5 0

Answer:

B. x = 15

Step-by-step explanation:

  1. Firstly we simplify the inequality, so we have x on the left side, and every number on the right side
  2. \frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2) so we take away 2 on both sides
  3. \frac{x}{5}\leq 4 now this is the same as \frac{1}{5}*x\leq 4
  4. Now we multiply by 5 on both sides
  5. 5*\frac{1}{5}*x\leq 5*4 which is \frac{5}{5}*x \leq 20 which is simply x \leq 20 since 5 divide by 5 is 1 and 1 times x is x
  6. So the inequality x \leq 20 means "<em>every number for x that is less than or equal to 20</em>"
  7. Now from the list, the only number that fits is 15. So that's our answer
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Find the amount to be paid at the end of 3years in each case. a) principal =1,200 at12% p.a​
Viktor [21]

Answer:

$1632

Step-by-step explanation:

Given data

Principal= $1200

Rate= 12%

Time= 3 years

The simple interest expression is given as

A= P(1+rt)

substitute

A=1200(1+0.12*3)

A=1200(1+0.36)

A=1200*1.36

A=$1632

Hence the amount is $1632

4 0
3 years ago
A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty
Shtirlitz [24]

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

  2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

6 0
4 years ago
A circle with a radius of 3 has a central angle of 17/9 pi what is the area of the sector
mafiozo [28]

Answer:17/2pi

Explained:

Just writing longer so I don’t have to go into details. If this is on khan academy you don’t have to show your work!

3 0
3 years ago
Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th
melomori [17]

Answer:

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

Step-by-step explanation:

If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:

total spent = 41.5 - 4 = 37.5

Since he bought a brush, a sketchbook and a paint set we have:

brush + sketchbook + paint = 37.5

The prices of each item are related in the following manner:

brush = (1/6)*sketchbook

sketchbook = (3/4)*paint

brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint

Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:

(1/8)*paint + (3/4)*paint + paint = 37.5

(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5

(15/8)*paint = 37.5

paint = 37.5/(15/8) = 37.5*(8/15) = 20

brush = (1/8)*paint = (1/8)*20 = 2.5

sketchbook = (3/4)*paint = (3/4)*20 = 15

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

6 0
3 years ago
Read 2 more answers
2. Any number that can result from
Alla [95]
Multiple im pretty sure- Well, a multiple is any number obtained by multiplying other numbers together. Multiples are most commonly discussed in the context of integers.
8 0
3 years ago
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