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Verdich [7]
3 years ago
7

Please please please help me with this answer

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

x = number of packages he bought

y = number of popsicles in each package

Here are the two equations:

xy = 54

x = 3 + y

Using the substitution method, you can solve them to find x and y.

(3 + y)y = 54,

3y + y^2 = 54

y^2 + 3y - 54 = 0

Solve the quadriatic equation:

(y +9)(y - 6) = 0

y = -9, 6.

Plug y into: xy = 54

x(-9) = 54, x = -6.

x(6) = 54, x = 9.

So he bought 9 packages of popsicles, bc you can't bye -6 packages.

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Can someone help me please?!?
Damm [24]

Answer:

k=10

Step-by-step explanation:

g(x)=2x^2+ kx+18

when x=-2

g(-2)=2 (-2)^2 -2k +18

Since when x is -2, y =6

6=2 (-2)^2 -2k +18

6=18+8-2k

2k=26-6

2k=20

k=10

7 0
3 years ago
The sum of two numbers is 62, and their difference is 8. What are the numbers
Lemur [1.5K]
Sum of two numbers is 62?
Let's call the two numbers a and b

let's find two same numbers that would add up to 62: 31.
31 + 31 = 62

since it said the difference is 8, we have to add 4 to one number and subtract 4 from another.
31 - 4 = 27
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Therefore, the two numbers following the given rules are 27 and 35
7 0
3 years ago
How to prove this using trig identities?
Pavlova-9 [17]

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

 

                      = (sin2B + cos2B)/[(cosB)(sinB)]

 

                       = 1/[(cosB)(sinB)]

 

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7 0
3 years ago
Need help with this please I am in math class
Tpy6a [65]

Answer:

256.8

Step-by-step explanation:

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7 0
3 years ago
If ∠a = 90°, find the measures of ∠b, ∠c and ∠d.
nydimaria [60]

Answer:

m∠b = 35°

m∠c = 145°

m∠ d = 35°

Step-by-step explanation:

To find m∠b, we use Definition of Supplementary Angles:

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To find m∠c, we also use Definition of Supplementary Angles:

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To find m∠d, we use Vertical Angles Theorem:

m∠b = m∠d = 35°

5 0
3 years ago
Read 2 more answers
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