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Viefleur [7K]
3 years ago
5

A total of 612 tickets were sold for the school play. They were either adult tickets or student tickets. There were 62 more stud

ent tickets sold than adult tickets.how many adult tickets were sold?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

550

Step-by-step explanation:

It´s 550 because 612-62 is 550

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Find the value of<br> 3a²-4ab-26² when A= -1 and b-4
nata0808 [166]

Answer:

-657

Step-by-step explanation:

a= -1\\b= 4\\

Substituting the value of a and b

3a^{2}-4ab-26^{2}  \\3(-1)^{2} -4(-1)(4)-676\\3-4(-4)-676\\3+16-676\\19-676\\-657

The value of    3a²-4ab-26²  is -657

4 0
3 years ago
Factor the polynomial: -24a^2b^3c^4-36a^4b^3c^2
Verizon [17]

Answer:

-12b^3a^2c^2\left(2c^2+3a^2)

Step-by-step explanation:

8 0
3 years ago
Find the exact value of tan(x-y) if sin x=8/17 cosy = 3/5
jolli1 [7]

To solve the the question we proceed as follows:

From trigonometric laws

(cos x)^2+(sin x)^2=1

(cos x)^2+(sin x)^2=1

sin (x-y)=sin x sin y-sin y cos x

cos (x-y)=cos x cos y+sin x xin y

si  x=\frac{8}{17}

cos x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}

cos y=\frac{3}{5}

sin x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}

thus

tan (x-y)=[sin (x-y)]/[cos (x-y)]

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]

simplifying

[24/85-60/85]/[45/85+32/85]

=-\frac{36}{77}

6 0
2 years ago
Please help im desperate here :/
maksim [4K]

1.) If the perimeters of the triangle and the rectangle are the same, then this means

2(3x - 3) + 2(x - 3) = 2(2x - 1) + 2x

First distribute:

2(3x - 3) = 6x - 6

2(x - 3) = 2x - 6

Let's look at the bolded coefficients:

6x - 6 + 2x - 6 = 4x - 2 + 2x

= 8x - 6 - 6 = 6x - 2

Isolate the variables:

8x - 6x = -12 - 2

2x = 10, so x = 5

Plug in the variables:

Rectangle: 2(3(5) - 3) + 2(5 - 3)

= 2(15 - 6) + 2(2)

= 24 + 4 = 28 feet

Triangle: 2(2(5)-1) + 2(5)

= 2(9) + 10 = 18 + 10 = 28 feet

Claire purchased 28 feet of fencing.

2.) Celia: 1200 calories a day, increases by 100 each day, so 1200 + 100d.

Ryan: 3230 calories per day, decreases it by 190 each day, so 3230 - 190d.

For the variables to equal the same amount:

1200 + 100d = 3230 - 190d

Let's isolate the variables:

1200 - 3230 = -190d - 100d, since there is no such thing as negative 290 days,

290d = 2030

d = \frac{2030}{190}, so d = seven days.

Plug in variable:

Celia: 1200 + 100(7) = 1900 calories

Ryan: 3230 - 190(7) = 1900 calories.

In seven days, they will both be consuming 1900 calories.

3.) 800 + 16h = 720 + 21h

Isolate the variable:

800 - 720 = -16h + 21h

80 = 5h, which means 16 hours.

4.) 2500 + 150m = 3000 + 125m

Isolate the variable:

3000 - 2500 = 150m - 125m

500 = 25m

\frac{500}{25} is 20 months.

5.) 200 + 45m = 50 + 55m

200 - 50 = 55m - 45m

150 = 10m

m = 15 months.

6.) 200 + 45(15) = 200 + 675 = $875

7.) 200 + 45m = 20 + 60m

= 200 - 20 = 60m - 45m

180 = 15m

\frac{180}{15} = 12, so it will take 12 months.

4 0
3 years ago
Discounts and markups
postnew [5]

Answer:

discount= lowered price markup= higher prices

Step-by-step explanation:

exactly what the answer is

5 0
3 years ago
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