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allsm [11]
3 years ago
13

Nicole wants to celebrate her 15th birthday at the Ice Skating Rink. They charge a $50 flat fee for birthday party rental and $1

0.50 for each person. Nicole has no more than $200 to spend for her birthday party. How many people can Nicole invite to her birthday party without over spending?
Mathematics
2 answers:
jok3333 [9.3K]3 years ago
8 0

Answer:

14.28 = 14

Step-by-step explanation:

200 - 50 = 150 Divded by 10.50 = 14.28

blagie [28]3 years ago
3 0

Answer:

14 people

Step-by-step explanation:

(10.50x14)+50=197 so she will spend £197 by inviting 14 people

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3.9 in fration form in fration
morpeh [17]

Answer:

39 / 10

Step-by-step explanation:

3.9

= 3.9 x 10 / 10

= 39 / 10

6 0
2 years ago
Read 2 more answers
ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,
Leni [432]

Answer:

5

Step-by-step explanation:

To find B and C prime, you must multiply them by .25, or 1/4.


B' =  

(-2 x .25),(1 x .25)


I did mine in fraction form, because it will prove to be more useful in future mathematics.


B' = (1/2  ,  1/4)


Repeat the process with C.


C' =

(14 x .25),(17 x .25)


C' =

(7/2  ,  17/4)




You only need to focus on B and C because you are finding the length of B'C'.


The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.


x2 -  x1 =  7/2  -  1/2  =  6/2  =  3 squared  =  9


y2 - y1 = 17/4 - 1/4 = 16/4  =  4 squared = 16


16 + 9  = 25


Square root of 25 is 5.


Therefore, the distance is 5.


8 0
3 years ago
The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post offi
IrinaK [193]

Answer:

Area = 6.5p

Step-by-step explanation:

Given

Area\ of\ Old = p

Area\ of\ New = 6.5 * Area\ of\ Old

Required

Write an expression for the area of new post office

From the question, we have the following:

Area\ of\ Old = p

and

Area\ of\ New = 6.5 * Area\ of\ Old

Substitute p for Area of Old in the second equation

Area\ of\ New = 6.5 * p

Area\ of\ New = 6.5 p

Hence, the expression is:

Area = 6.5p

5 0
2 years ago
How many total terms are there in the following sequence. 7,10,13,...,391,394
nlexa [21]

Answer: n = 130

Step-by-step explanation:

The sequence is an Arithmetic progression ( AP )

The last term of the sequence is (L) is 394 with the formula

L  = a + ( n- 1 )d . From the sequence, a = 7, d ( common difference ) = 3 and L ( last term ) = 394, and n = ?

Put those values in the formula above and solve for n.

  a + ( n - 1 )d =  L

  7 + ( n - 1 ) x 3  = 394

         7 + 3n - 3   = 394

             4 + 3n     = 394

                    3n     = 394 - 4

                     3n     = 390

                        n     = 130      

4 0
3 years ago
Read 2 more answers
Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound
KengaRu [80]

Answer:

x = 28 ----- Banana

y = 54 ----- Almonds

z = 18 ---- Chocolate

Step-by-step explanation:

Let

x \to banana

y \to almonds

z \to chocolate

So, we have:

x + y + z = 100 --- total used

4x + 8y + 6z = 652 -- i.e. 6.52 * 100 --- total sales from 100 pounds

y = 3z

Required

The number of pounds of each (i.e. x, y and z)

Substitute y = 3z in x + y + z = 100

x + 3z + z = 100

x + 4z = 100

Make x the subject

x = 100 - 4z

Substitute y = 3z in 4x + 8y + 6z = 652

4x + 8 * 3z + 6z = 652

4x + 24z + 6z = 652

4x + 30z = 652

Substitute x = 100 - 4z

4(100 - 4z) + 30z = 652

400 - 16z + 30z = 652

Collect like terms

- 16z + 30z = 652-400

14z = 252

Divide by 14

z = 18

Substitute z = 18 in x = 100 - 4z

x = 100 - 4 * 18

x = 100 - 72

x = 28

To calculate y, we have:

y = 3z

y = 3 * 18

y = 54

6 0
3 years ago
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