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3 years ago

11

Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adult

s and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?

1 answer:

alexgriva [62]3 years ago

5 0

Answer:

answer is J because if we lay out the information we will understand it

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0.18(y-9)+0.06y=0.04y-0.9

Ksju [112]

Simplify both sides then isolate the variable and it gives you y=3.6

7 0

3 years ago

16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.

egoroff_w [7]

Answer:

Option D

Step-by-step explanation:

Given the following question:

$12 \frac{3}{4} \times3$

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

$12 \frac{3}{4} \times3$
$12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}$
$3=\frac{3}{1}$
$\frac{51}{4} \times\frac{3}{1}$
$51\times3=153$
$4\times1=4$
$=\frac{153}{4}$

<u>Convert the improper fraction back into a mixed number:</u>

$\frac{153}{4}$
$\frac{153}{4} =153\div4=38\frac{1}{4}$
$=38\frac{1}{4}$

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.

3 0

2 years ago

A. What is the circumference of the

erik [133]

Answer:

a) 94.2 cm

b) 78.5%

Step-by-step explanation:

a) since the square side = 30 cm

it means the diameter = 30 cm

then circumference of the largest circle that can be cut = 3.14×30 = 94.2 cm

b) the perimeter of the square = 30×4 = 120

94.2 for 120

x% for 100%

x = (100×94.2)/120 = 9420/120 = 942/12 = 78.5%

6 0

3 years ago

Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo

elena55 [62]

Answer:

$\displaystyle y-5=-\frac{10}{9}(x+6)$

Or:

$\displaystyle y+5=-\frac{10}{9}(x-3)$

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

$y-y_1=m(x-x_1)$

Thus, first, we need to find the slope. We can use the slope formula:

$\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}$

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

$\displaystyle y-(5)=-\frac{10}{9}(x-(-6))$

Or, fully simplified:

$\displaystyle y-5=\frac{-10}{9}(x+6)$

Using the other point, we will acquire:

$\displaystyle y-(-5)=-\frac{10}{9}(x-(3))$

Or, simplified:

$\displaystyle y+5=-\frac{10}{9}(x-3)$

8 0

3 years ago

If the range of the function f(x) = 7x – 2.7 is {14.1, 30.9, 41.4, 58.9, 68}, what is its domain?

Drupady [299]

domain is {2.4, 4.8, 6.3, 8.8, 10.1 }

For domain, equate f(x) to each value in the range and solve for x

7x - 2.7 = 14.1 ⇒ x = $\frac{x14.1 + 2.7}{7}$ = 2.4

7x - 2.7 = 30.9 ⇒ x = $\frac{30.9 + 2.7}{7}$ = 4.8

7x - 2.7 = 41.4 ⇒ x = $\frac{41.4 + 2.7}{7}$ = 6.3

7x - 2.7 = 58.9 ⇒ x = $\frac{58.9 + 2.7}{7}$ = 8.8

7x - 2.7 = 68 ⇒ x = $\frac{68 + 2.7}{7}$ = 10.1

7 0

3 years ago