All categories

2 years ago

Which system of equations could be used to determine how many of each coin you have

Mathematics

1 answer:

kirza4 [7]2 years ago

8 0

<h3>Answer: Choice A</h3>

0.10d + 0.05n = 2.25

d = 2n

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

Explanation:

n = number of nickels

d = number of dimes

we have twice as many dimes as nickels, so we could have something like 18 dimes and 9 nickels. Algebraically we would write d = 18 and n = 9. The equation that fits this is d = 2n. The answer is between A and B at this point.

We rule out choice B since the 0.05d is incorrect. It should be 0.10d to represent the total value of all the dimes.

Choice A is correct

d = number of dimes

0.10d = value of all the dimes in dollars

n = number of nickels

0.05n = value of all the nickels in dollars

0.10d + 0.05n = total value from both coins combined

2.25 = total value from both coins combined

0.10d + 0.05n = 2.25

You might be interested in

Using f (x) = 4x + 3 and g(x) = x - 2, f(g(5))=

il63 [147K]

Answer:

I think It is 7

Step-by-step explanation:

5 0

2 years ago

PLEASE HELP I GIVE THANKS

Mekhanik [1.2K]

Like earlier take the bigger shape and divide the smaller one.
8.4 divide by 4 and you get 2.1.

5 0

3 years ago

Read 2 more answers

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

Explanation:

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

7 0

2 years ago

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to p

monitta

Answer:

25 degrees

Step-by-step explanation:

3 0

2 years ago

About 70% of Earth’s surface is covered by water. If the diameter of Earth is about 12,750 km, find the area not covered by wate

hichkok12 [17]

Earth diameter = 12,750 km
Earth radius = 6,375 km
Sphere Surface Area = 4 • π • r²
Sphere Surface Area = 4 * 3.14159 * 6375^2
Sphere Surface Area = 4 * 3.14159 * 40,640,625 
 Earth's Entire Surface Area = 510,704,724 square kilometers
Surface NOT covered by water = 510,704,724 * .3
Surface NOT covered by water = 153,211,417 square kilometers

4 0

2 years ago