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2 years ago

10

At a theme park, the ticket price for children is c for adults is $17 more than that. Write an expression to show the cost of ti

ckets for 2 adults and 5 children. Simpilfy the expression.

1 answer:

aev [14]2 years ago

6 0

Answer:

Cost is 7c+34.

Step-by-step explanation:

2(c+17) + 5c

=2c+34+5c

=7c+34

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Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction liters of tea

barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks $5\frac{1}{4}\ liters\$ in 1 hour

Step-by-step explanation:

$Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\$ $\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters$

5 0

3 years ago

Factor 4n^2 - 5n -6

Allushta [10]

Answer:

(n-2) • (4n+3)

Step-by-step explanation:

4n2-5n-6

Final result :

(n - 2) • (4n + 3)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22n2 - 5n) - 6

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4n2-5n-6

The first term is, 4n2 its coefficient is 4 .

The middle term is, -5n its coefficient is -5 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

4n2 - 8n + 3n - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

4n • (n-2)

Add up the last 2 terms, pulling out common factors :

3 • (n-2)

Step-5 : Add up the four terms of step 4 :

(4n+3) • (n-2)

Which is the desired factorization

Final result :

(n - 2) • (4n + 3)

3 0

3 years ago

Can you please help me 59÷2,361

telo118 [61]

If you want 59<span>÷2,361 the answer is 29.5
If you want </span>2,361÷59 the answer is <span>40.0169491525</span>

3 0

3 years ago

Read 2 more answers

Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer

Orlov [11]

Answer:

$V=35.3\ m^3$

Step-by-step explanation:

-Given the cone's height is 9.1m and the Circumference is 12.1

#We use the circumference formula to calculate the radius:

$C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm$

-The volume of the cone using the radius above can then be calculated as follows:

$V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3$

Hence, the cone's volume is $35.3\ m^3$

7 0

3 years ago

Whats the answer for 17-9x=-3+16x

Ugo [173]

Remember you can do anything to an equation as long as you do it to both sides

17-9x=-3+16x
add 9x to both sides
17=-3+25x
add 3 to both sides
20=25x
divide both sides by 25
$\frac{20}{25}=x$
$\frac{4}{5}=x$
$x=\frac{4}{5}$

8 0

3 years ago