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Hoochie [10]
3 years ago
5

Suppose a greeting card is 4 inches long on one side about how long should the other side of the card be in order for it to be g

olden triangle
Mathematics
1 answer:
Leviafan [203]3 years ago
4 0
A triangle has 3 side, this makes no sense. Explain please. 
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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

35x_1+22x_2=9,000...(2)

From equation (1), we will get:

x_2=350-x_1

Substitute this value in equation (2):

35x_1+22(350-x_1)=9,000

35x_1+7,700-22x_1=9,000

13x_1+7,700=9,000

13x_1+7,700-7,700=9,000-7,700

13x_1=1,300

\frac{13x_1}{13}=\frac{1,300}{13}

x_1=100

Therefore, the company sold 100 widgets.

Substitute x_1=100 in equation (1):

100+x_2=350

100-100+x_2=350-100

x_2=250

Therefore, the company sold 250 gizmos.

3 0
3 years ago
Read 2 more answers
HELP<br><br> y = (3x)2 + 17 <br> when x = 2 function and solution
Bond [772]
Answer:
y= 29
step by step explanation:
y= 6 x 2 + 17
y= 12+17
y= 29
7 0
3 years ago
Following are the prices of 12 tickets listed on the Ticket Racket ticket broker site for a Taylor Swift concert.
Ludmilka [50]

Let me use Python to find the answers

Program.

\tt import\:statistics \:as\:stats

\tt Prices=[75,120,120,145,150,150,150,175,175,200,225,275]

\tt print(stats.mean(Prices))

\tt print(stats.median(Prices))

\tt print(stats.mode(Prices))

Output:;

  • Mean=163.333
  • Median=150.0
  • Mode=150

Console attached

8 0
3 years ago
Read 2 more answers
Are property taxes based on the market value of the home?
Butoxors [25]
Yes because the property taxes are calculated by taking the mill levy and multiplying it by the assessed value of the owner’s property
3 0
3 years ago
Solve y=f(x) for x. Then find the input when the output is -3.
DochEvi [55]

Answer:

Please check the explanation

Step-by-step explanation:

Given the function

f\left(x\right)\:=\:\left(x-5\right)^3-1

Given that the output = -3

i.e. y = -3

now substituting the value y=-3 and solve for x to determine the input 'x'

\:\:y=\:\left(x-5\right)^3-1

-3\:=\:\left(x-5\right)^3-1\:\:\:

switch sides

\left(x-5\right)^3-1=-3

Add 1 to both sides

\left(x-5\right)^3-1+1=-3+1

\left(x-5\right)^3=-2

\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}

Thus, the input values are:

x=-\sqrt[3]{2}+5,\:x=\frac{\sqrt[3]{2}\left(1+5\cdot \:2^{\frac{2}{3}}\right)}{2}-i\frac{\sqrt[3]{2}\sqrt{3}}{2},\:x=\frac{\sqrt[3]{2}\left(1+5\cdot \:2^{\frac{2}{3}}\right)}{2}+i\frac{\sqrt[3]{2}\sqrt{3}}{2}

And the real input is:

x=-\sqrt[3]{2}+5

  • x=3.74
4 0
3 years ago
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