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amm1812
3 years ago
7

Mr. Johnson bought 22 cupcakes and 30 drinks for his class. Ms. Richards bought 30 cupcakes and 35 drinks for her class. Mr. Joh

nson spent $44.40 and Ms. Richards spent $53.75.
How much does a cupcake cost?
$
How much does a drink cost?
$
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
Cupcakes =c
Drinks = d
22 c + 30d = $44.40...eqn 1
30c + 35d = $53.75...eqn 2
Multiply eqn 1 by 7 and eqn 2 by 6
154c +210d =$310.80...eqn 3
180c+ 210d = $322.5...eqn 4
Eqn 4 - eqn 3
26 c = $11.70
C = 11.7/26 = 45c
Subst c = 45c in eqn 1
$9.90 + 30d =$44.40
d = ($44.40-$9.90)/30 = $1.15
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I have nooooo clue, please help
Aleksandr-060686 [28]

Answer:

case a) x^{2}=3y ----> open up

case b) x^{2}=-10y ----> open down

case c) y^{2}=-2x ----> open left

case d) y^{2}=6x ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

y=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

x=a(y-k)^{2}+h

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

x^{2}=3y

so

y=(1/3)x^{2}

a=(1/3)

so

a>0

therefore

The parabola open up

case b) we have

x^{2}=-10y

so

y=-(1/10)x^{2}

a=-(1/10)

a

therefore

The parabola open down

case c) we have

y^{2}=-2x

so

x=-(1/2)y^{2}

a=-(1/2)

a

therefore

The parabola open to the left

case d) we have

y^{2}=6x

so

x=(1/6)y^{2}

a=(1/6)

a>0

therefore

The parabola open to the right

3 0
3 years ago
Aye can yall help me right quick
sladkih [1.3K]

Answer:

10 for the empty box

Step-by-step explanation:

When your placing them on the graph the one on the left side is x axis (the horizontal line) and the one on the right is the y axis (the vertical line)

Hope this helps!

3 0
3 years ago
Each month your cell phone company charges you $ 50 for your plan plus 3 cents for each text you send. You have $ 140 budgeted f
pshichka [43]

Answer:

3000 text messages can be sent without breaking the budget.

Step-by-step explanation:

Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:

(140 - 50) / 0.03 = X

90 / 0.03 = X

3000 = X

Therefore, 3000 text messages can be sent without breaking the budget.

7 0
3 years ago
Factor completely 81a^2+36a+4
Svet_ta [14]
<span><span>(<span><span>9a</span>+2</span>)</span><span>(<span><span>9a</span>+2</span>) or, </span></span><span><span>(<span><span>9a</span>+2</span>)</span><span>^2</span></span>

6 0
3 years ago
2/3 divided by 1/3 in simply formed
NeX [460]

Answer:

2

Step-by-step explanation:

2/3÷1/3

Changing the divide sign into multiply will invert the term after it

So we get

(2/3)*3

(2*3)/3

We get

2

5 0
3 years ago
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