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2 years ago

9

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the you

ngest of them?

1 answer:

ziro4ka [17]2 years ago

5 0

Answer:

14

Step-by-step explanation:

You might be interested in

How do you write 55 another way

CaHeK987 [17]

It can also be written as fifty-five.

7 0

3 years ago

Calculate the length of CD give your answer to 3 significant figures.

Westkost [7]

12.7
Using the Pythagorean theorem, you can easily calculate the length of BC.
So:
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So:
BC/sin(55) = CD/sin(90)
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD

5 0

2 years ago

The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this se

solniwko [45]

Answer:

105

Step-by-step explanation:

A "set" is a group of numbers.

A "positive integer" is a whole number that's bigger than zero.

"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)

"least" means smallest.

15 and 35 both go into 105.

3 0

2 years ago

the Spanish club is selling churros as a fundraiser. If its goal is to raise at least $150, how many churros must it sell at $1.

nekit [7.7K]

Let

x-------> the number of churros sold

we know that

$1.25x \geq 150$ -----> inequality that represent the situation

Solve for x

Divide by $1.25$ both sides

$x \geq 150/1.25$

$x \geq 120\ churros$

therefore

<u>the answer is</u>

The minimum number of churros that must be sold is $120$

4 0

3 years ago

Read 2 more answers

At a two-hour basketball practice, Tracy can either choose to run miles, which take six minutes per mile, or play scrimmage game

Lera25 [3.4K]

Answer:

See the image attachment. It shows the three inequalities

$6m+30s \le 120$

$0 \le m \le 5$

$s \ge 0$

the inequalities are all stacked on each other with a large curly brace written off to the left

===========================================

Explanation:

Let,

m = number of miles Tracy runs

s = number of scrimmage games Tracy plays

m and s are integers

-------

Each mile takes 6 minutes, so running m miles takes up a total of 6m minutes.

Each scrimmage game takes 30 minutes, so in total she uses up 30s minutes of time if the number of games she plays is 's'.

In total, Tracy uses up 6m+30s minutes running and playing scrimmage games. The max time allotted for her is 2 hours or 120 minutes. Therefore, $6m+30s \le 120$ is one inequality that makes up the system of inequalities.

-------

We know that 'm' is positive, and we also know that m cannot get larger than 5, so we can write $0 \le m \le 5$ . This says "m is between 0 and 5 including both endpoints".

-------

For similar reasons in the last section above, we also know that 's' is positive as well; however we have no upper bound restrictions on 's'. So we simply say $s \ge 0$

-------

Overall, the system of inequalities has these three inequalities:

$6m+30s \le 120$

$0 \le m \le 5$

$s \ge 0$

they are all stacked on each other and written with a large curly brace to the left hand side of this stack. The large curly brace is just a way of keeping things together in a group or collection so to speak. A paired right curly brace is not included.

A visual reference of the answer is attached as an image below, just so you can see what I mean by the large curly brace.

3 0

3 years ago