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Reika [66]
3 years ago
9

Solve the system. 3x+1y=3.85 4x+5y=10.45.

Mathematics
1 answer:
creativ13 [48]3 years ago
6 0
(0.8, 1.45)

I hope this helps! (:
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Genevieve spent $56.25 to fill her 15-gallon tank. How much did she pay per gallon?
Montano1993 [528]
To solve this problem, you have to divide the price by the number of gallons. So 56.25/15 = 3.75 Therefore Genevieve payed $3.75 per gallon
7 0
3 years ago
HELP ASAP IM BEING TIMEDD
MrRissso [65]

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

 

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

5 0
3 years ago
Read 2 more answers
The length of the base of a triangle is twice its height. If the area of the triangle is 64 square​ kilometers, find the height.
frez [133]
Area of a triangle = base x height / 2
64 = base x height / 2
(multiply 2 on both sides)
128 = base x height 
then if base= 16 and height = 8 then 16 x 8 = 128
thus the base is 16 which is twice the height:8
6 0
3 years ago
A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size
scZoUnD [109]

Answer:

The rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares  

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by  3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column,     1,       2,     3,      4,       5,     6,        7,       8,         9,           10,         11

Row

1

2

3

4

5

6

7

8

9

10

11

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

4 0
3 years ago
What is the sum of x2-3x+7 and 3x2+5x-9
Ghella [55]
(x² - 3x + 7) + (3x² + 5x - 9)
(x² + 3x²) + (-3x + 5x) + (7 - 9)
4x² + 2x - 2
5 0
3 years ago
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