MATHEMATICS HIGH SCHOOL

: Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation: 0.10d + 0.05n = 22.25

Answers

Answer 1

Answer:

Answer:

A. (0,445)

D.(118,209)

E.(172,101)

Step-by-step explanation:

The equation that we have in this problem is:

$0.10d + 0.05n = 22.25$

where

d is the number of dimes

n is the number of nickels

$22.25 is the total amount of money collected by Diego in the jar.

In order to find which pairs of values can be solutions to the equation, we just need to substitute each pair (d,n) into the left term on the equation, and check if the result is 22.25. Let's do it:

A. (0,445)

$0.10\cdot 0 + 0.05\cdot 445 =0+22.25=22.25$ --> YES

B. (0.50,435)

$0.10\cdot 0.50 + 0.05\cdot 435 =0.05+21.75=21.80$ --> NO

C. (233,21)

$0.10\cdot 233 + 0.05 \cdot 21 =23.3+1.05=24.35$ --> NO

D.(118,209)

$0.10\cdot 118 + 0.05\cdot 209 =11.8+10.45=22.25$ --> YES

E.(172,101)

$0.10\cdot 172 + 0.05\cdot 101 =17.2+5.05=22.25$ --> YES

So the correct pairs are:

A. (0,445)

D.(118,209)

E.(172,101)

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How can we tell if a number is divisible by 4? A. The last two digits of the number are divisible by 4 B. The sum of the digits is 4 C. The sum of the digits is divisible by 4 D. The last digit is divisible by 4

Answers

A, the last two digits of the number are divisible by 4

A is the correct answer. We all know that 100 is divisible by 4, so any multiple of 100 is also divisible by 4 (ex. 500, 1500, etc.)z Therefore, any number can be divisible by 4 regardless of what is in the hundreds place and above. What counts is the last two digits of the number, the tens and ones places. For example, let's look at 334 and 324. 34 is not divisible by 4, therefore 334 is not divisible by 4. 24 is divisible by 4, therefore 324 is divisible by 4. Check in a calculator for proof!

204 thousand of rename the number

Answers

two thousand four or twenty four thousand or two hundred and four thousand

100 percent of blank = 60

Solve for blank.

Answers

Answer:

if its all of 60 the answer is 60

Step-by-step explanation:

have a great day

The width of a rectangle is 5 feet, and the diagonal is 8 feet. Which is the area of the rectangle? (Round to nearest hundredth.)

Answers

$The \ formula \ for \ the \ area \ of \ a \ rectangle \ is: \n\nA=l\cdot w\n where \ l \ is \ the \ length, \ w \ is \ the \ width \n\n w = 5 \feet , \n diagonal: \ d= 8 \ feet \n \n apply \ the \ Pythagorean \ Theorem:$

$d^2=w^2+l^2 \n \nl^2=d^2-w^2\n\nl^2=8^2-5^2\n\nl^2=64-25\n\nl^2=39$

$l=√(39)\n\nl \approx 6.244998 \ feet\n\nA= 6.244998 * 5= 31.22499\approx 31.23 \ feet^2$

How do you write 13065.01 in word form

Answers

That's "thirteen thousand sixty-five and one hundredth".

The equation D=13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?The density approaches infinity.
The density approaches 0.
The density approaches 1.
The density approaches 13.

Answers

D = 13/v

What happens to the density as the volume approaches 0?

The density approaches 13.

Assume : V = 3 ; V = 2 ; V = 1

D = 13/3 = 4.33
D = 13/2 = 6.50
D = 13/1 = 13

Answer:

Option A is correct

The density approaches infinity.

Step-by-step explanation:

Given the equation:

$D = (13)/(v)$ ....[1]