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Artist 52 [7]
3 years ago
13

X + 2y = 5

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

-5

Step-by-step explanation:

The given system is

x + 2y = 5 \\ x - 3y = 7

The corresponding coefficient matrix is shown in attachment.

The value of the system determinant, is the determinant of the coefficient matrix.

Which is

- 3 \times 1 - 2 \times 1 =  - 5

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Baker made 5 pounds of icing. He used 4/9 of the icing to decorate. How much did he have left over?
Elena L [17]
If the baker made 5 pounds of icing and used 4/9 of the icing to make decorations, then he used:

5 * 4/9 =
= 20/9 =
= 2 2/9 [of icing]

To find out how much he has left over, we just need to substract 2 2/9 from 5:

5 - 2 2/9 =
= 3 - 2/9 =
= 2 7/9

Answer: The baker has <u>2 7/9</u> of the icing left.
6 0
3 years ago
A painting has an area of 108 square inches. The dimensions of the painting are 12 and x + 3. What is the perimeter of the paint
dmitriy555 [2]

Answer:

42 inches square

Step-by-step explanation:

x=6

108/12=9

9-3=6

12+12+9+9=42

6 0
3 years ago
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Someone help me solve
Lady_Fox [76]
First draw sloping up (steep because he’s running)to the right until you hit 20 on the y axis. Next draw down and to the right for 5 yards until 15 on y axis. Next is a flat horizontal line for 3 seconds on x axis. Finally a shallow slope line down (because he is walking) and right until you hit the x axis.
3 0
3 years ago
Sue has $2.80 in dimes and nickels. If she has 13 more dimes than nickels, how many of each coins does she have?
olga55 [171]
I have seen this question before and I think you meant 10 more dimes than nickels.

We can use substitution to answer this question. The value of a nickel is 5 cents, and we can use the variable n to represent the number of nickels. The value of a dime is 10 cents, and we can use the variable d to represent the number of dimes.

First lets figure out the equations.
.10d+.5n=2.80 (the number of nickels (n) multiplied by .5 will tell us their money value. Same thing for the dimes)
d-n=10 (since there are 13 more dimes than nickels, the number of dimes value (d) minus the number of nickels value (n) will give us 10)

Now lets isolate a variable in one of the equations, preferably the second one because it doesn't have any visible coefficients,

d-n=10
-n=10-d (subtracted the d from both sides)
n=-10+d (made the n positive)

Now that we have the value of n, we can plug it into the other equation.

.10d+.05n=2.80
.10d+.05(-10+d)=2.80 (we replaced the n with the value that we previously got)
.10d-.5+.05d=2.80 (did the multiplication)
.15d-.5=2.80 (combined like terms)
.15d=3.30 (added the .5 to both sides)
d=22 (divided both sides by the .15)

Now that we know that there are 22 dimes and we also know that there are 10 less nickels than dimes, so we can subtract 10 from 22 to get the number of nickels. 22-10=12

d=22
n=12


5 0
3 years ago
Which expression can be used to find 7(-6 1/8)
andrezito [222]

The first option,

both have to be negative, because they were originally both part of the one fraction, which was all negative.

7 0
3 years ago
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