A drill press operator requires 1 2/3 minutes to drill through 1 inch of steel. How long will it take him to drill through four-fifths inch of the same steel?

4a + 3 = 40

---Subtract 3 from both sides

4a = 37

---Divide both sides by 4

a = 37/4 = 9 1/4 = 9.25

Hope this helps!! :)

Answer:a= 9 1/4 as a mixed number

Improper: 37/4

Move all terms that don't contain a to the right side and solve.

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You should find the area under the curve. Which will give you multiple shapes. That are 3 triangles and one rectangle. Then use the Rule of the area of the triangle which is 1/2 × base × height then lastly. When you find the area for each shape you then find the sum of all the distance to give you the full area under the curve.

Answer:

Step-by-step explanation:

The Sum:

The difference:

Subtract the sum from the difference:

Answer:

See below.

Step-by-step explanation:

First Let's us find the sum.

[tex]\sf\longmapsto \: 3x²y - 5a + 4b + (-9x²y - 7b + 4a)[/tex]

[tex]\sf\longmapsto3x²y - 9x²y - 5a + 4a + 4b - 7b [/tex]

[tex]\sf\longmapsto \: -6x²y - a - 3b[/tex]

Now, let's us find the difference (minus)

[tex]\sf\longmapsto \: 3x²y - 5a + 4b - (-9x²y - 7b + 4a)[/tex]

[tex]\sf\longmapsto3x²y + 9x²y - 5a - 4a + 4b + 7b[/tex]

[tex]\sf\longmapsto \: 12x²y - 9a + 11b[/tex]

Now minus the sum from the difference.

[tex]\sf\longmapsto \: 12x²y - 9a + 11b - (-6x²y - a - 3b)[/tex]

[tex]\sf\longmapsto \: 12x²y + 6x²y - 9a + a +11b + 3b[/tex]

[tex]\sf\longmapsto \: 18x²y - 8a + 14b[/tex]

Therefore,[tex]\sf\longmapsto \: 18x²y - 8a + 14b[/tex] is the answer.

Answer:

c=4.95+3.99b

Step-by-step explanation:

4.95 is the monthly fee. we do not need a variable for this because we know what it is and it only happens once in the problem. the b is how many movies you purchase times 3.99

Answer:

6 feet per hour

Step-by-step explanation:

36 / 6 = 6

Answer:

1 3/15

1 5/15

Step-by-step explanation:

The equation that shows the total number of cupcakes that Valeria can bake will be y = 6x.

Number of cupcakes that can be baked with 1 egg = 6

Let the total number of eggs be represented by x.

Let the total number of cupcakes be represented by y.

Therefore, the total number of cupcakes will then be:

y = 6 × x

y = 6x

Therefore, the equation that shows the total number of cupcakes that Valeria can bake will be y = 6x.

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Answer:

1) vertical-Line test(VLT)

2)y=x

3)x

4)domain

Step-by-step explanation:

I had to look this up because I don't think you gave the full question.

Answer:

 149sx+127v+275f =

276

Step-by-step explanation:

multiply all the numbers than add you get the answer  149sx+127v+275f

149s + 127v + 275f  is expression represents the total amount of money the Smiths will spend, before sales tax, based on the number of sports sets they buy.

An expression is combination of variables, numbers and operators.

The total amount of money the Smiths will spend on the soccer, volleyball, and football training sets can be represented by the expression:

149s + 127v + 275f

Here, 149s represents the cost of s soccer training sets,

127v represents the cost of v volleyball training sets, and

275f represents the cost of f football training sets.

To find the total amount of money the Smiths will spend based on the number of sports sets they buy, simply substitute the corresponding values of s, v, and f into the expression above and simplify.

Hence, 149s + 127v + 275f  is expression represents the total amount of money the Smiths will spend, before sales tax, based on the number of sports sets they buy.

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Answer:

13(b-1)

Step-by-step explanation:

I think it the right one

Answer:

m<M is 98°............

Answer:

4 tickets

Step-by-step explanation:

1 ticket is $3.25

2 ticket is $6.5

3 ticket is $9.75

4 ticket is $13

5 tickets is over and makes $16.25

Right answer but i am not conform

x = - 85

y = 52

Answer:

Non Proportional

Step-by-step explanation:

As it does not pass through the origin.

Answer:

(-4,2)

Step-by-step explanation:

Answer:

(-4,2)

Step-by-step explanation:

hope this helps

Answer:

x=0

Step-by-step explanation:

1st Step(Plug in 0 for x):   2(0-3)+9=3(0+1)+x

2nd Step(Simplify):   2*(-3)+9=3*(1)+x

3rd Step(Multiply):   -6+9=3+x

4th Step(Add):   3=3+x

5th Step(Subtract 3 from both sides): x=0

For any questions saying what is the value of x in the equation, just plug in one of the options from a,b,c,d. And work from there

Answer:

50 legs

Step-by-step explanation:

We know that a dog has 4 legs, a cat has 4 legs, a giraffe has 4 legs, a duck has 2 legs, and a chicken has 2 legs. So, we want to calculate [tex]2(4)+4(4)+1(4)+5(4)+1(2)+3(2)[/tex], right?

Wrong! It's a trick question! The chickens aren't on the floor, so they don't count. So, we really want [tex]2(4)+4(4)+1(4)+5(4)+1(2)[/tex].

We multiply it out to get [tex]8+16+4+20+2[/tex].

We add these up to get [tex]50[/tex].

So, our answer is [tex]\boxed{50}[/tex] legs.

Answer:

1. 4a+5b

2. 6p+4r

3.  -20y-3x

Answer:

1.   4a + 5b;   2.  6p + 4r;    3.  -22y - 3x

Step-by-step explanation:

1. (4a + 5b) + (2a - 6b) - 2(a - 3b)

  (4a + 5b) + (2a - 6b)  + (- 2a + 6b)         Distributive

 (4a + 2a -2a) + (5b - 6b + 6b)                 Combine like terms

  4a + 5b

 2.  2(5p - q + 2r) - (p + 4q + 3r) - 3(p -2q - r)  

       10p - 2q + 4r - p - 4q - 3r - 3p + 6q + 3r

       (10p - p -3p) + (-2q - 4q + 6q ) + ( 4r - 3r + 3r)

         6p + 0 + 4r

          6p + 4r

3.    - (9y + x) + 2(x - 6y) - (4x + y)

         -9y - x  + 2x - 12y - 4x - y

        (-9y -12y -y) + (-x + 2x - 4x)

           -22y - 3x

Answer:

b) 5x +3y ≤ 50

Step-by-step explanation:

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

Answer:

p = -15

Step-by-step explanation:

[tex]-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}[/tex]

[tex]\frac{2p}{10} =-3[/tex]

[tex]2p=-3(10)[/tex]

[tex]p=\frac{-30}{2}[/tex]

[tex]p=-15[/tex]

[tex]m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3[/tex]

I hope this help you

Answer: 8 miles a day

Step-by-step explanation:

Answer:

y = -3x + 11.

Step-by-step explanation:

The slope of the given line segment  is (3-7)/(-4-8) = -4/-12 = 1/3.

The midpoint of the line has  coordinates (8-4)/2, (7+3)/2.

= (2, 5).

The slope of  the  perpendicular bisector = -1/ 1/3 = -3.

So it's bisector has equation:

y - y1  = m(x - x1)=

y - 5 = -3(x - 2)

y = -3x + 6 + 5

y = -3x + 11.

Answer:

3*3*3-1*1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3x3=9

1x2=2

so 9-2=7

Answer:

i hated doing those

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The ordered pair (0, 2) tells us that x = 0 when y = 2.

We just plug these values in the given equation and see if the left side = the right.

Left side = -2(0) + 2 = 2.

Right side = -1.

- so they are not a solution.