MATHEMATICS HIGH SCHOOL

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

Answers

Answer 1

Answer:

Let

n-------> the number of nickels

d-------> the number of dimes

we know that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

$0.05n+0.10d=13.30$ -----> equation A

$n+d=175$

$d=175-n$ -------> equation B

substitute equation B in equation A

$0.05n+0.10(175-n)=13.30$ ------> equation that can be used to find n

Solve for n

$0.05n+17.5-0.10n=13.30$

$17.5-13.30=0.10n-0.05n$

$0.05n=4.2$

$n=84\ nickel$

find the value of d

$d=175-n$

$d=175-84=91\ dimes$

therefore

the answer is

The equation that can be used to find n is $0.05n+0.10(175-n)=13.30$

The number of nickels in the collection is $84\ nickel$

Answer 2

Answer: n + d = 175 .... d = 175 - n
0.05n + 0.10d = 13.30

0.05n + 0.10(175 - n) = 13.30 <== and u would just solve for n

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What is 6.54 as a mixed number

Answers

The number given in the question is in decimal form. It has to be first changed to fraction and then only can it be changed to a mixed fraction. The calculations have to be done correctly and then the problem is very straight forward.Now let us concentrate on the problem in hand.
Then
6.54 = 654/100
= 327/50
= 6 27/50
From the above deduction we can definitely conclude that the mixed number for 6.54 is 5 27/50. I hope this simple procedure will help you to attempt such type of problems in future without requiring any additional help.

If you would liketo write 6.54 asa mixed number, you can do this using the following step:

6.54 = 6 54/100 = 6 27/50

Result: 6.54 equals to 6 27/50 asa mixed number.

Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )1) | m | -2 > 0

2) | x - 4 | - 3 > 5

3) | 6 + 9x | ≤ 24

4) | 1 - 5a | > 29

Answers

QUESTION 1

The given inequality is

$|m|-2>0$

We group like terms to get,

$|m|>2$

This implies that,

$-m>2$ or $m>2$ .

We simplify the inequality to get,

$m<-2$ or $m>2$ .

We can write this interval notation to get,

$(-\infty,-2)\cup (2,+\infty)$ .

QUESTION 2

$|x-4|-3\:>\:5$ .

We group like terms to get,

$|x-4|\:>\:5+3$ .

$|x-4|\:>\:8$

We split the absolute value sign to get,

$-(x-4)\:>\:8$ or $x-4\:>\:8$

This implies that,

$x-4\:<\:-8$ or $x-4\:>\:8$

$x\:<\:-8+4$ or $x\:>\:8+4$

$x\:<\:-4$ or $x\:>\:12$

We can write this interval notation to get,

$(-\infty,-4)\cup (12,+\infty)$ .

QUESTION 3

The given inequality is

$|6+9x|\leq 24$

We split the absolute value sign to obtain,

$-(6+9x)\leq 24$ or $(6+9x)\leq 24$

This simplifies to

$6+9x\ge -24$ and $6+9x\leq 24$

$9x\ge -24-6$ and $9x\leq 24-6$

$9x\ge -30$ and $9x\leq 18$

$x\ge -(10)/(3)$ and $x\leq 2$

$-(10)/(3)\leq x\leq2$

We write this in interval form to get,

$[-(10)/(3),2]$

QUESTION 4

The given inequality is

$|1-5a|>29$

We split the absolute value sign to get,

$-(1-5a)>29$ or $1-5a>29$

This simplifies to,

$1-5a\:<\:-29$ or $1-5a\:>\:29$

This implies that,

$-5a\:<\:-29-1$ or $-5a\:>\:29-1$

$-5a\:<\:-30$ or $-5a\:>\:28$

$a\:>\:6$ or $a\:<\:-(28)/(5)$

We write this in interval notation to get,

$(-\infty,-(28)/(5))\cup (6,+\infty)$

A 12-foot tree casts a 22-foot shadow. Find the angle of elevation from the tip of the shadow to the top of the tree. Round the answer to the nearest tenth.

Answers

The angle of elevation from the tip of the shadow to the top of the tree is one of the acute angles of the right triangle. The 22-ft shadow is the length of the adjacent side of the angle and 12-ft tree the opposite side. The angle asked for in the problem is the arctan of 12-ft divided by 22-ft. Thus, the angle of elevation is 28.61 degrees.

Answer:

Step-by-step explanation:

I just did it

If someone has been binge drinking, which symptom is a sign to call 911?breathing fewer than 10 times per minute
8-second or more pauses between breaths
incoherent or slurred speech
clammy, pale, or bluish skin

Answers

Binge drinking is a dangerous way to consume liquids. This is consuming large doses of liquids at a single time and can be dangerous in terms of suffocation. The answer to this problem thus is A. breathing fewer than 10 times per minute

Answer:

Clammy, pale, bluish skin

Step-by-step explanation:

Just took the test, hope this helps!

joses credit card statement says that he owes $324. he charges an additional $63, $21, and $75. how much those he owe now?