a worker uses 450 inches of steel wire to make 300 springs of the same size. at this rate how many inches of steel wire are needed to make 1 spring?

Answer:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

Write the problem as an equation like this

11x+7x=76

Now make an equation for the number of purchased tickets. Let x be adult and y be students.

x+y=8

Rewrite x + y = 8 as y = -x +8

Substitute y = -x + 8 into the first equation for y.

11x+7(-x+8)=76

11x+(-7x)+56=76

solve for 11x+(-7x)

4x+56+76

subtract 56 from both sides

4x=20

Divide both sides by 4

X=5

x + y = 8

5 + y = 8

y = 3

5 Adult tickets were purchased and 3 student tickets were purchased.

5 adult tickets and 3 student tickets were purchased.

What are system equations?

A finite set of simultaneous equations are called system equations.

Let, they purchased x tickets for adults and y tickets for students.

Therefore, system equations are:

x + y = 8 ----- equation 1

11x + 7y = 76----- equation 2

From equation 1,  we get: x = (8 - y)

Now, substituting the value of x in equation 2, we get:

11 × (8 - y) + 7y = 76

⇒ 88 - 11y + 7y = 76

⇒ 88 - 76 = 4y

⇒ 4y = 12

⇒ y = 3.

Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.

Hence, 5 adult tickets and 3 student tickets were purchased.

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Answer: The amount would be $3.70

Step-by-step explanation: 0.20x6=1.20+2.50=3.70

Answer:

x=14

Step-by-step explanation:

(8x-4)+(6x-12)=180

14x-16=180

14x=196

x=14

Answer:

t>28

Step-by-step explanation:

Answer:

x = -4/5

Step-by-step explanation:

Solve for x:

(5 x + 4) (8 x - 71) = 0

Split into two equations:

5 x + 4 = 0 or 8 x - 71 = 0

Subtract 4 from both sides:

5 x = -4 or 8 x - 71 = 0

Divide both sides by 5:

x = -4/5 or 8 x - 71 = 0

Add 71 to both sides:

x = -4/5 or 8 x = 71

Divide both sides by 8:

Answer:  x = -4/5 or x = 71/8

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

Answer:

105.37

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

Answer:

plot a graph and count it

Step-by-step explanation:

midpoint is the middle point of the line. it can be found by dividing the length of the line by 2 then counting inwards by that number.

Answer:

5

Step-by-step explanation:

you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))

Answer:

x=6

Step-by-step explanation:

1/2x=3/4(x-2)

1/2x=3/4x-1.5      (distribute)

+1.5    +1.5

1/2x+1.5=3/4x

-1/2x     -1/2x

1.5=1/4x

6=x

hope this helps

brainliest?

Answer:

-5 (3b+4)

Step-by-step explanation:

-15b - 20

-5 (3b+4)

Answer:

no yes no yes

Step-by-step explanation:

Im pretty sure thats correct

Answer:

no yes yes no

Step-by-step explanation:

hope this help;)

Answer:

your answer is second option, maybe

Answer:

second choice 100% sure

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

[tex]= \frac {8.5}{100}\times 12.99[/tex]

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

[tex]= \frac {8.5}{100}\times 39.99[/tex]

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

Answer:

21 minutes

Step-by-step explanation:

60 - 18 = 42

18 carrots ÷ 9 minutes = 2 carrots per minute

42 ÷ 2 = 21

Answer:

-101

Step-by-step explanation:

5ac - 26

5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)

-15 × 5 - 26

- 75 - 26

- 101

I hope this is helpful.

Answer:

[tex]1[/tex] [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]

Answer:4

Step-by-step explanation:

Answer:

4 or 2

Step-by-step explanation:

The absolute value of the complex number, 2i, is 2.

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

Answer:

1.97 meters long

Step-by-step explanation:

divide meters by pieces

Please make me Brainliest

The length of each piece is 1.97 meters.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the wire = 7.88 meters

Number of wire cut into equal pieces = 4

The length of each equal piece.

= 7.88 ÷ 4

= 7.88/4

= 1.97 meters

Thus,

The length of each wire is 1.97 meters.

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Answer:

Her mean quiz score is 92.25%.

Answer:

92.25

Step-by-step explanation:

Mean is the same as average. Add all the scores together and then decide by the number of scores.

(92+94+100+83)÷4

369÷4=92.25

Answer:

5

Step-by-step explanation:

Answer:

There are 255 ants in 1 anthill.

Step-by-step explanation:

Do the cross multiplication method. First set the equation as 1275/5 = x/1. Then cross multiply to get 5x = 1275. Divide both sides by 5 to get 255.

Answer:

x = 28

Step-by-step explanation:

Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.

3x + x + x + 12 = 152 (collect like terms)

5x + 12 = 152 (subtract 12 on each side)

5x = 140 (divide by 5 on each side)

x = 28

(PLUG IN)

3(28) + (28) + (28) + 12 = 152

84 + 28 + 28 + 12 = 152

152 = 152