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Fynjy0 [20]
3 years ago
7

Enter numbers in figures to complete the passage below.

Mathematics
1 answer:
erik [133]3 years ago
4 0

Answer:

Last year Jules' contract was for 1200 hours.

Step-by-step explanation:

This year Jules has a contract to work for 984 hours.

This is an 18% decrease on the hours on last year's contract.

Last year number: x

This years: 100 - 18 = 82% of last year, which is 984 hours. This means that:

0.82x = 984

x = \frac{984}{0.82}

x = 1200

Last year Jules' contract was for 1200 hours.

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Citrus2011 [14]
The answer is b bc it is
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3 years ago
Help need answer ASAP due in 10 minutes
enyata [817]

Answer:

1) about 9 or 8.7

2) 4

3) about 5 or 4.5

4) 2

5) about 4 or 4.4

6) 2

4 0
4 years ago
A football stadium sells regular and box seating. There are twelve times as many
Vera_Pavlovna [14]

Answer:

There are 801 box seats and 9612 regular seats.

explanation:

Let the number of box seats be x,

Then the regular seats is 12x

The sum of seats equals to 10,413

<u>Solve:</u>

12x + x ➙ 10,413

13x ➙ 10413

x ➙ 801

There are 801 box seats.

<u>Find for regular seats:</u>

➙ 12(x)

➙ 12(801)

➙ 9612

There are 9612 regular seats.

6 0
2 years ago
Read 2 more answers
I need a lot of help from the smartest people now right now
Dominik [7]

Answer:

K) I, II, and III

Step-by-step explanation:

Given the quadratic equation in standard form, <em>h </em>= -<em>at</em>² + <em>bt</em> + <em>c</em>, where <em>h </em>is the <u>height</u> or the projectile of a baseball that changes over time, <em>t</em>.  In the given quadratic equation, <em>c</em> represents the <u>constant term.</u> Altering the constant term, <em>c</em>, affects the <em>h</em>-intercept, the maximum value of <em>h</em><em>, </em>and the <em>t-</em>intercept of the quadratic equation.  

<h2>I. The <em>h</em>-intercept</h2>

The h-intercept is the value of the height<em>, h</em>, when <em>t = </em>0. This means that setting <em>t</em> = 0 will leave you with the value of the constant term. In other words:

Set <em>t</em> = 0:

<em>h </em>= -<em>at</em>² + <em>bt</em> + <em>c</em>

<em>h </em>= -<em>a</em>(0)² + <em>b</em>(0) + <em>c</em>

<em>h</em> = -a(0) + 0 + <em>c</em>

<em>h</em> = 0 + <em>c</em>

<em>h = c</em>

Therefore, the value of the h-intercept is the value of c.

Hence, altering the value of<em> c </em>will also change the value of the h-intercept.

<h2>II. The maximum value of <em>h</em></h2>

The <u>maximum value</u> of <em>h</em> occurs at the <u>vertex</u>, (<em>t, h </em>). Changing the value of <em>c</em> affects the equation, especially the maximum value of <em>h. </em>To find the value of the <em>t</em>-coordinate of the vertex, use the following formula:

<em>t</em> = -b/2a

The value of the t-coordinate will then be substituted into the equation to find its corresponding <em>h-</em>coordinate. Thus, changing the value of <em>c</em> affects  the corresponding <em>h</em>-coordinate of the vertex because you'll have to add the constant term into the rest of the terms within the equation. Therefore, altering the value of <em>c</em> affects the maximum value of <em>h.</em><em> </em>

<h2>III. The <em>t-</em>intercept</h2>

The <u><em>t-</em></u><u>intercept</u> is the point on the graph where it crosses the t-axis, and is also the value of <em>t</em> when <em>h</em> = 0. The t-intercept is the zero or the solution to the given equation. To find the <em>t</em>-intercept, set <em>h</em> = 0, and solve for the value of <em>t</em>.  Solving for the value of <em>t</em> includes the addition of the constant term, <em>c</em>, with the rest of the terms in the equation.  Therefore, altering the value of <em>c</em> also affects the<em> </em><em>t-intercept</em>.

Therefore, the correct answer is <u>Option K</u>: I, II, and III.

5 0
3 years ago
Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
kozerog [31]

Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

<u>Let</u>:

  • senior citizen ticket price = a
  • student ticket price = b

<u>Equations formed</u> :

  1. 9a + 10b = 113
  2. 2a + 10b = 64

<u>Subtract</u> : Equation 1 - Equation 2

  • 9a + 10b - 2a - 10b = 113 - 64
  • 7a = 49
  • a = 7

<u>Finding b</u>

  • 2(7) + 10b = 64
  • 10b = 50
  • b = 5

<u>Solution</u>

  • Price of senior citizen ticket = $7
  • Price of student ticket = $5
8 0
2 years ago
Read 2 more answers
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