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3 years ago

Ratio 7:5 large to small stickers. How many large if the total is 96?

1 answer:

6 0

The ratio of large stickers to small stickers is 56:40 which totals to 96.
7:5 = 12
14:10 = 24
21:15 = 36
28:20 =48
35:25 = 60
42:30 = 72
49:35 = 84
56:40 = 96

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Kelly ran 2 miles and burned 240 calories. The next day she ran 3 miles and burned360 calories. Th3 nest day 4 miles and 480 mil

mario62 [17]

Answer:

1080 calories

Step-by-step explanation:

all you do is add 120 everytime she goes on run

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3 years ago

Help 15 points!!!!!!!!!!!!!!!!!!!!!

Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = $\frac{opposite}{adjacent}$ = $\frac{BC}{AC}$ = $\frac{7}{8}$ , then

∠ A = $tan^{-1}$ ( $\frac{7}{8}$ ) ≈ 41° ( to the nearest degree )

The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = $\sqrt{113}$ ≈ 10.6 ( to the nearest tenth )

3 0

3 years ago

Find an equation for the line that passes through the points (-5,-5) and (1,4)

Andreas93 [3]

The general line through (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

Here that's

(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)

6(y+5)=9(x+5)

6y + 30 = 9x + 45

-15 = 9x - 6y

3x - 2y = -5

Answer: 3x - 2y = -5

We could put that in slope intercept form,

2y = 3x + 5

y = (3/2) x + 5/2

Answer: y = (3/2) x + 5/2

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3 years ago

For the equation , y = -3x + 5 , tell whether its graph passes through the first quadrant. Explain how you know.

Vsevolod [243]

For any point to be in the first quadrant, it must have a positive "x" value and "y" value.
If x = 1 then y = 2, a point with both x and y positive values which would be in the First Quadrant.

3 0

3 years ago

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

Norma-Jean [14]

Answer: The required number of books that Ruben had before purchases is 50.

Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.

We are to find the number of books that Ruben had before purchases.

Let x denotes the number of books that Ruben had before purchases.

Then, according to the given information, we have

$x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.$

Thus, the required number of books that Ruben had before purchases is 50.

4 0

3 years ago