You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts

Answers

Answer 1

Answer:

a. i) Please see the  included graph of the equation $10·x + $12·y = $300

ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered

Step-by-step explanation:

The given information are;

The cost of each short-sleeved shirt = $10

The cost of each long-sleeved shirt = $12

The amount available in the budget = $300

The equation for the total cost = $10·x + $12·y = $300

Where;

x = The number of short-sleeved shirts

y = The number of long-sleeved shirts

Rewriting the equation given in slope and intercept form, we have;

$10·x + $12·y = $300

$12·y = $300 - $10·x

y = $300/$12 - $10·x/$12

y = 25 - 5/6·x

Please find attached, the graph of the equation made with Microsoft Excel

The values of the data that can calculated to plot the graph are;

x, y

(0, 25 )

(5, 20.83 )

(10, 16.67)

(15, 12.5 )

(20, 8.33)

(25, 4.17)

(30, 0 )

The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.

You Are Ordering Shirts For The Math Club At Your School. Short-sleeved Shirts Cost $10 Each. Long-sleeved
Answer 2

The graph of the equation is shown below.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

Given:

Short-sleeved shirts cost $10 each.  

Long-sleeved shirts cost $12 each.

The total budget is $300.

The given equation is:

[tex]10x+12y=300[/tex]

where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.

To find:

The graph of the given equation and the interpretation for the intercepts.

Explanation:

We have,

[tex]10x+12y=300[/tex]

Substitute [tex]x=0[/tex].

[tex]10(0)+12y=300[/tex]

[tex]12y=300[/tex]

[tex]y=\dfrac{300}{12}[/tex]

[tex]y=25[/tex]

So, the y-intercept is at point (0,25).

Substitute [tex]y=0[/tex].

[tex]10x+12(0)=300[/tex]

[tex]10x=300[/tex]

[tex]x=\dfrac{300}{10}[/tex]

[tex]x=30[/tex]

So, the x-intercept is at point (30,0).

Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

Learn more:

https://brainly.com/question/13859754

You Are Ordering Shirts For The Math Club At Your School. Short-sleeved Shirts Cost $10 Each. Long-sleeved

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Answers

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26

Step-by-step explanation:

square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26

Answer:

26

Step-by-step explanation:

2(square root of 81)+square root of 64

2(9)+8=

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26

Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
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Answer:

F

Step-by-step explanation:

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Answer:

x= 16 degrees

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Hope this helps! Follow my Instagram trlamb822!

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Step-by-step explanation:

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Answers

Answer:

24.99

Step-by-step explanation:

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Answer:

the cist of entry for x adults

Answer:

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Step-by-step explanation:

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Answers

Answer:

37: 36

Step-by-step explanation:

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Answers

Answer:

9 yards

Step-by-step explanation:

-5 + 14 = 9

{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent​

Answers

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]

[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]

So for this question :

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[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]

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[tex] = {5}^{3} [/tex]

Evaluate the expression when c=5 and d=6.
7c+d.​

Answers

Answer:

41

Step-by-step explanation:

Step 1:

7c + d          Equation

Step 2:

7 ( 5 ) + 6      Input c and d

Step 3:

35 + 6       Multiply

Answer:

41          Add

Hope This Helps :)

u would have to plug in the numbers meaning

C=5 & D=6

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I do not understand this ​

Answers

Answer:

It would be C. The hexagon.

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Step-by-step explanation:

M= 1/2
M= 2
M= -1/2
M=-2

Answers

Answer:

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Step-by-step explanation:

the slope is =1/2 so the first option

Write the word sentence as an equation. Then solve.
The difference between a number pand 6 is -14
Equation
Solution p=
25

Answers

Answer:

p - 6 = -14

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Step-by-step explanation:

       The difference between a number p and 6 is -14

  Let the number  = p;

Equation:

          difference between the numbers:

                         p - 6

          equality;

                         p - 6 = -14

Equation; p - 6 = -14

Solution:

                p - 6 = -14

            add (+6) to both sides of the expression;

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                 p = -8

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6-3q≤1

Answers

Answer:

[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

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Answers

Answer:

9/8

Step-by-step explanation:

change in y/change in x= slope

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Answers

Answer:

15

Step-by-step explanation:

12-k

12- (-3)

12+3

=15

Answer:

15

Step-by-step explanation:

Substitute the variable, "k" into "12-k" from the equation "k=(-3).

12-k

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15

Kiran sells f full boxes and h half-boxes of fruit to raise money for a band trip. He earns $5 for each full box and $2 for each half-box of fruit he sells and earns a total of $100 toward the cost of his band trip. The equation 5f+2h=100 describes this relationship. Solve the equation for f.

Answers

Answer:

f = (100 - 2h) / 5

Step-by-step explanation:

Given:

5f + 2h = 100

Solve the equation for f.

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

5f / 5 = (100 - 2h) / 5

f = (100 - 2h) / 5

If f = 1 full box

h = 1/2 box

h = 1/2 of f

h = 1/2f

Substitute h = 1/2f into

f = (100 - 2h) / 5

f = {100 - 2(1/2f)} / 5

f = (100 - 2/2f) / 5

5f = 100 - f

5f + f = 100

6f = 100

f = 100 / 6

= 16.67

f = 16.67

The required value of f is 16.67.

Given that ;

Kiran sells full box of fruit cost for each box = f = $5

And Kiran sells half box of fruit cost for each = h = $2

According to the question ;

For full box cost  + for half box cost = Total cost of his band trip

5f + 2h = 100

Solve the equation following equation for f .

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]

f = 20-2h

For full box f = 1 full box

For half box h = 1 half box

It means h = [tex]\frac{1}{2}[/tex] of f

h = [tex]\frac{1}{2}f[/tex]

Substitute the value of h  

[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]  

[tex]f = \frac{100-f}{5}[/tex]

5f = 100 - f

5f + f = 100

6f = 100

[tex]f = \frac{100}{6}[/tex]

f = 16.67

The required value of f is 16.67.

For more details about the making equation click the link given below.

https://brainly.com/question/9151865

Multi-step Equations
5) 5n + 34 = -2(1 - 7n)

Answers

n = 4

Distribute -2 so -2(1 - 7n) = -2 + 14n
Add 2 to each side 5n + 36 = 14n
Subtract 5n from each side 36 = 9n
Divide each side by 9 so 4 = n

Answer:

4

Step-by-step explanation:

if you do all the steps right you  should get 4

helpp ill mark u as brainlist​

Answers

Answer:

Assuming you want slope formula for this, it's y= (5/9)x -1


Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.

Write the equation for finding the total cost of
a one-year swim pass.

Answers

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

Answer: $250

Step-by-step explanation:

$3,000 is invested in an account paying 4% interest and twice that amount is invested at 6%.

Which of the following expressions represents the amount of interest earned on the money invested at 6%?

a. 2(3,000)
b. 0.06(6,000)
c. 0.06(3,000)

Answers

Answer:

B

Step-by-step explanation:

8. What is the result of (11x + 18i)(117 - 18i)?

Answers

1287x + 342 +(-198x + 2106) i

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)

Answers

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

can you guys please help​

Answers

Answer:

I cant read all of that. Im sure others ant either.

Step-by-step explanation:

Answer:

i cant read it for some reason, can you type it?

Step-by-step explanation:

On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).

Use the Pythagorean theorem to find the distance on the coordinate plane.


a2 + b2 = c2


What is the distance between the two points?

StartRoot 20 EndRoot

StartRoot 40 EndRoot

StartRoot 45 EndRoot

StartRoot 58 EndRoot

Answers

Answer:

StartRoot 58 EndRoot

Step-by-step explanation:

Given the coordinates (-4, -3) and (-1, 4)

To get the distance between the two points, we will use the formula:

D =√(y2-y1)²+(x2-x1)²

From the coordinates, x1 = -4, y1 = -3, x2 = -1 and y2 = 4

Substitute

D =√(4-(-3))²+(-1-(-4))²

D = √(4+3)²+(-1+4)²

D = √7²+3²

D = √49+9

D = √58

Hence the correct option is D

StartRoot 58 EndRoot

Answer:

D. 58

Step-by-step explanation:

what percentage is equal to 32/100 ​

Answers

32% I would guess ? :)

Answer:

32%

Step-by-step explanation:

32/100 is 32%

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