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weeeeeb [17]
4 years ago
14

Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 3 lb each

. How many books can she carry in her backpack?
Mathematics
1 answer:
MrRissso [65]4 years ago
3 0
<span>Toni can carry five books in her backpack. You must start by subtracting the weight of the other required items. Toni's lunch which is one pound and gym clothes which are two pounds. This can be calculated by 18-1-2=15. Toni has 15 pounds left to carry books. She should divide this by the weight of each book, which is three pounds. 15/3=5. Therefore, Toni can carry five books.</span>
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7x-6y=18 14x+9y=-27?
Effectus [21]

Answer: Hope this helped(tried my best thinking what the question was asking)

x=0

y=-3

Step-by-step explanation:

(Im going to add and subtract)

Add:

14x-12y=36

14x+9y=-27

28x-3y=9

Subtract:

-14x+12y=-36

14x+9y=-27

21y=-63

y=-3 (substitute in first equation)

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y=-3 and x=0

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aleksandrvk [35]

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Step-by-step explanation:

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lara [203]

Answer:

a. b=2

b. b = 2a

c. a = \frac{1}{2}b\\

d. b = 10

Step-by-step explanation:

Gradient is just another similar term for slope l, m, and it can be calculated by m = \frac{y_2 -y_1}{x_2 -x_1}\\ where x_n and 1y_n is the xy-coordinates of point n

We let (0,0) be point 1 and (a,b) be point 2, we can then write the equation:

m = \frac{b -0}{a -0}\\ m = \frac{b}{a}.

It also says that the points are with a gradient of 2 so m = 2. We can then write the equation:

2 = \frac{b}{a}\\

Finding bIf a = 1:

2 = \frac{b}{a} \\ 2 = \frac{b}{1} \\ 2 = b \\ b = 2

Writing an expression for b in terms of a.

2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{b}{a} \times a = 2 \times a \\ b = 2a

Writing an expression for a in terms of b

2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{a}{b} = \frac{1}{2} \\ \frac{a}{b} \times b = \frac{1}{2} \times b \\ a = \frac{1}{2}b

Finding b if a = 5

2 = \frac{b}{a} \\ 2 = \frac{b}{5} \\ \frac{b}{5} = 2 \\ \frac{b}{5} \times 5 = 2 \times 5 \\ b = 10

4 0
3 years ago
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Step-by-step explanation:

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