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gizmo_the_mogwai [7]
3 years ago
9

The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.

50 the second group had 32 students and three teachers in cost $127 what is the cost per student and per teacher
Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:


Step-by-step explanation:

S=student cost; T=teacher cost

.

32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

.

25S+2T=$97.50 . Multiply this by 3.

75S+6T=$292.50

64S+6T=$254 . Subtract this (from above.)

.

11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.


.

32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

.

CHECK:

25S+2T=$97.50

25($3.50)+2($5.00)=$97.50

$87.50+$10.00=$97.50

$97.50=$97.50


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Answer:

\dfrac{x^2}{4}+\dfrac{y^2}{16}=1

Step-by-step explanation:

If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.

Moreover,

a=2\\ \\b=4

The equation of such ellipse is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

Hence, the equation of the ellipse is

\dfrac{x^2}{2^2}+\dfrac{y^2}{4^2}=1\\ \\ \\\dfrac{x^2}{4}+\dfrac{y^2}{16}=1

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3 years ago
Solve: 3x^2+16x+5=0
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Answer:

(3x+1)(x+5)

Step-by-step explanation:

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6 0
3 years ago
Which is one reason why this expression is equal to 0. 8.29•-5.62+5.62/5.62
AnnZ [28]

Answer:

Step-by-step explanation:

-24699              

 —————— = -24.69900  

  1000              

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "•" was replaced by "*".

(2): "*-5" was replaced by "*(-5)".

(3): "5.62" was replaced by "(562/100)". 4 more similar replacement(s)

Step by step solution :

Step  1  :

           281

Simplify   ———

           50  

Equation at the end of step  1  :

   829      62  562   281

 ((———•-5)•———)+——— ÷ ———

   100     100  100   50  

Step  2  :

           281

Simplify   ———

           50  

Equation at the end of step  2  :

   829      62  281   281

 ((———•-5)•———)+——— ÷ ———

   100     100  50    50  

Step  3  :

        281      281

Divide  ———  by  ———

        50       50  

3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

281     281       281      50

———  ÷  ———   =   ———  •  ———

50      50        50      281

Equation at the end of step  3  :

   829          62      

 ((——— • -5) • ———) +  1

   100         100      

Step  4  :

           31

Simplify   ——

           50

Equation at the end of step  4  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  5  :

           829

Simplify   ———

           100

Equation at the end of step  5  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  1000  as the denominator :

        1     1 • 1000

   1 =  —  =  ————————

        1       1000  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

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Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-25699 + 1000     -24699

—————————————  =  ——————

    1000           1000  

Final result :

 -24699              

 —————— = -24.69900  

  1000              

Processing ends successfully

4 0
3 years ago
I need an answer quick plzz
Montano1993 [528]
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4 0
3 years ago
An online furniture store sells chairs for $200 each and tables for $600 each. Every
Vladimir79 [104]

Answer:

Step-by-step explanation:

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32         .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T =  5600

∴  T =

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴   C =

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴   T =

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

8 0
3 years ago
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