1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
3 years ago
5

At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $11

45 how many adult tickets were sold that day
Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

You might be interested in
Blake rolls a number cube twelve times. He wants to show how many times the number cube lands on each number.
Svetllana [295]

Answer:

circle graph

Step-by-step explanation:

4 0
3 years ago
Lol help please xxxx xd
guajiro [1.7K]
0 | 3 8
1 | 2 2 4
2 | 0 1 3 6
3 | 4

key : 1 | 4 means 14
6 0
3 years ago
Read 2 more answers
Can u help me ASAP. i need to know how to do it step by step​
12345 [234]

Answer:

<em>19</em>

Step-by-step explanation:

f(x) =4x^3-8x^2+ax+b has a factor 2x-1 and

when divided by x+2, remainder is 20.

To find:Remainder when divided by (x-1)  ?

Solution:

2x-1 is a factor

2x - 1 = 0 \Rightarrow x = \frac{1}{2} when we put this value of x to the function, it will become 0.

i.e.

\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)

Remainder is 20 when f(x) is divided by x+2

i.e.

f(-2) =20

\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}

By equation (1):

a+2(18) = 3\\\Rightarrow a = -33

So, the equation becomes:

f(x) =4x^3-8x^2-33x+18

\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}

So, when divided by (x-1), remainder will be <em>19</em>.

4 0
3 years ago
A used car has a value of 15,250 when it’s purchased in 2012. The value of the car decreases at a rate of 7.5% per year
kotegsom [21]

p=15250

r=7.5/100=0.075

y = 15250*(1 - 0.075)^x

after 8 years it would be

x = 8

y = 15250*(1 - 0.075)^8

y = $8,173.42

after 8 years the value of the car is going to be $8,173.42

8 0
3 years ago
Which point lies on the circle represented by the equation (x+5) + (y-9) = 8
olga_2 [115]

Answer:

(-5,9+√8)

Step-by-step explanation:

There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.

the general equation of a circle is:

(x-h)^2+(y-k)^2=r^2

with center at (h,k)

you have the following equation:

(x+5)^2+(y-9)^2=8\\\\h=-5\\\\k=9\\\\r=\sqrt{8}

Then, the center is (-5,9)

if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have

(-5,9+r)=(-5,9+\sqrt{8})

Then, one point that lies in the circle is (-5,9+√8)

3 0
3 years ago
Other questions:
  • Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into hi
    9·2 answers
  • Find the simplified form of the expression. give your answer in scientific notation (8x10^4)(9x10^-8)
    7·1 answer
  • What is 2.5 as a percent? <br> 0.25<br> 250<br> 25<br> 2.5(I think this one but idk)
    8·2 answers
  • In the function f(×)=4-ײ,find f(-3)​
    8·2 answers
  • This is related to my grade
    8·1 answer
  • 3x + 8y - 36 = 0
    9·1 answer
  • Does anyone know the answer!!!!
    11·2 answers
  • PLEASE HELP ME PASS
    11·1 answer
  • I need help on question b please it hard
    9·1 answer
  • A delivery company charges a flat rate of $3 for a large envelope plus an additional $0.25 per ounce for every ounce over a poun
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!