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ki77a [65]
3 years ago
11

1. Change each of the following equations to the form

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

Answer:

(a) -6x- y = 3

        6x + y = -3\\      y = -6x -3

(b) 3x-4y =12

       3x - 4y = 12\\-4y = -3x +12\\4y = 3x -12\\\\y = \frac{3}{4}x -3

(c)-2x + 5y = 10

       -2x + 5y = 10\\5y = 2x + 10\\y = \frac{2}{5}x + 2

(d) x + 2y = 4

        x+2y=4\\2y = -x + 4\\y = \frac{-1}{2} x +2

(e) 8x- 4y = 3

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

(f) 4x + 5y = -6

         4x + 5y = -6\\5y = -4x - 6\\y = \frac{-4}{5} x -\frac{6}{5}

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helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. she also needs 0.75 cup of sugar pe
tatuchka [14]

The <em><u>correct answer</u></em> is:

She can make 2 loaves of bread and 4 batches of muffins.

Explanation:

Let b represent bread and m represent muffins.

The equation for the amount of flour she needs is 3.5b+2.5m=17.

The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.

To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:

\left \{ {{0.3(3.5b+2.5m=17)} \atop {0.75b+0.75m=4.5}} \right.  \\ \\\left \{ {{1.05b+0.75m=17} \atop {-(0.75b+0.75m=4.5)}} \right.  \\ \\0.3b=0.6 \\ \\\frac{0.3b}{0.3}=\frac{0.6}{0.3} \\ \\b=2

She can bake two loaves of bread.

Substituting 2 for b in the first equation, we have

3.5(2)+2.5m=17

7+2.5m=17

Subtract 7 from each side:

7+2.5m-7=17-7

2.5m=10

Divide both sides by 2.5:

2.5m/2.5 = 10/2.5

m = 4

She can bake 4 batches of muffins.

6 0
4 years ago
Read 2 more answers
What is the least common denominator of 2/5 and 3/10 and 9/11​
Basile [38]

Answer:

110

Step-by-step explanation:

2/5 = 44/110

3/10 = 33/110

9/11 = 90/110

4 0
4 years ago
A garden snail moves 1/6 foot in 1/3 hour. Find the speed of the snail in feet per hour
Arisa [49]
(1/6 ft)/ (1/3 hour)= 1/2 ft/hour

The final answer is 1/2 ft/hour~
6 0
3 years ago
Refer to the figure and provide an appropriate name for ACK and FHJ
Fofino [41]

Answer: C

Step-by-step explanation:

They are alternate interior angles.

5 0
2 years ago
I need help with this please
BartSMP [9]
I’m pretty sure it’s B and C but I might be wrong, hope this helps!
8 0
2 years ago
Read 2 more answers
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