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Nikolay [14]
3 years ago
14

QUESTION

Mathematics
2 answers:
Natalka [10]3 years ago
7 0
I agree with Karen!!!!!
garri49 [273]3 years ago
3 0

Answer:

45

Step-by step

What do we already know about the equation?

We know that they EACH bought a hockey puck($17) and 2 shirts

Half of 214 is 107. So they had to have spent 107 separately

So we make the equation and let s represent shirts

2s + 17 = 107

    - 17            -17

2s= 90.    DIVIDE by 2

s = 45

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Answer:

6

Step-by-step explanation:

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3 years ago
An ice cream shop sells cones at the volume of 94.2 cubic meters they want to double the volume of the cones without changing th
marin [14]
The volume of a cone is V=\pi r^2\frac{h}3 where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}
5 0
3 years ago
Determine if line AB and line CD are parallel, perpendicular, or neither.
choli [55]

Answer:

AB and CD are parallel lines

Step-by-step explanation:

• Parallel lines have equal slopes

• The slopes of perpendicular lines are negative reciprocals

Calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)

m = \frac{8-4}{3-1} = \frac{4}{2} = 2

let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)

m = \frac{14-6}{3+1} = \frac{8}{4} = 2

Since slope of AB and CD are equal then lines are parallel


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3 years ago
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gulaghasi [49]
She bought 124 feet of fencing. Hope it helped!
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2 years ago
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You buy a container of cat litter for $11.50 and a bag of cat food for x dollars. The total purchase is $16.80, which includes 5
NARA [144]

Answer:

4.46  

Step-by-step explanation:

(11.5 + x) + 5% = 16.8

11.5 + x = 16.8 - 5%

x = (16.8 - 5% ) - 11.5

x = 15.96 - 11.5

x = 4.46  

5 0
2 years ago
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