All categories

3 years ago

What is -0.9 as a fraction in simplest form

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

7 0

-0.9 as a fraction in simplest form is - $\frac{9}{10}$

Hope this helps :)

You might be interested in

Steve had 7 more than twice as many quarters as dimes. if the total value of her coins was $10.15, how many of each kind of coin

NemiM [27]

X=quarters, y=dimes
7+2x=y
0.25x+0.1y=10.15
we substitute the first equation into the second equation
0.25x+0.1(7+2x)=10.15
0.25x+0.7+0.2x=10.15
0.45x+0.7-0.7=10.15-0.7
0.45x=9.45
0.45x/0.45=9.45/0.45
x=21 quarters
7+2x=y, x=21
7+2(21)=y
7+42=y
y=49 dimes
check: 0.25x+0.1y=10.15 when x=21, y=49
21(0.25)=5.25 in quarters
49(0.1)=4.90 in dimes
5.25+4.90=10.15

3 0

3 years ago

Please help with 6 and 7

Ilya [14]

Answer:

6. The number is $-5$

7. The two numbers are $10$ and $11$

Step-by-step explanation:

Question six can be re-worded to create the following expression:

$-2=\frac{4x+10}{5}$

Solve for x to find the number:

$-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x$

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

x and y are less than 20
$x + 1 = y$
$3x - 8 = 2y$

To get the numbers, we can create a system of linear equations. First, solve for $y$ in each expression:

$y = x+1$

$2y = 3x-8\\y = \frac{3}{2}x - 4$

Solve for $x$ :

$x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x$

Solve for $y$ :

$y = x + 1\\y = 10 + 1\\y= 11$

4 0

1 year ago

Read 2 more answers

A van,a moving company charges 50.00 plus 5.50 by per mile. The table shows the total cost for the number of miles drivin

Anna71 [15]

y = 55/10x + 50 is the equation to represent this situation

8 0

2 years ago

Kyle wants to make $10,000 in gift cards. Each gift card is worth $100 and costs 1,200,000 in points. How many points does Kyle

OleMash [197]

Kyle needs 100 $100 gift cards to reach $10,000 in gift cards (100x100=10,000). Each gift card is 1,200,000 points so 100x1,200,000=120,000,000. Kyle needs 120,000,000 points to make $10,000 worth of gift cards.

6 0

3 years ago

11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.

Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

$[tex](\frac{5}{6}) ^2$ = \frac{m}{108}[/tex]

⇒ $\frac{(5)^2}{(6)^2} = \frac{m}{108}$

or, $\frac{25}{36} = \frac{m}{108} \implies m = \frac{108 \times 25}{36} = 75$

⇒ m = 75

Hence, the area of the smaller triangle is 75.

6 0

3 years ago