Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. How many hours would it take to complete the order with twice the number of working machines?

Answer:

angle relationship: same-side interior

value of x: 40

Step-by-step explanation:

the horizontal lines are parallel and the vertical line is the transversal, so 3x+x+20=180. combine the x's and subtract 20 from both sides to get 4x=160. then divide both sides by 4 to get x=40.

Answer:

14-inch

Step-by-step explanation:

let the length of shorter piece be x

x+3x=56

4x=56

x=56/4

x=14

Answer:

68

Step-by-step explanation:

formula for interest=principle×rate×time/100

60=x×4×4/100

60=16x/100

16x=6000

x=375

Answer:

C. $375

Step-by-step explanation:

Answer:

Fraction  3 out of 3 /4

Step-by-step explanation:

Answer:

There would be 36 coins left

Step-by-step explanation:

I don't know if that was the question but you would do:

11/20x2=22/40

22/40+4/40=26/40

26/40=13/20

One twentieth of 240 is 12

12x3=36

Hope this helped

Answer:

x=9 y=3

Step-by-step explanation:

because 5x+9=6x and 6y-1=3y+8

x=9 y=3

branlist please

Answer:

The slope of the parallel line is -3/2

Step-by-step explanation:

Calculate the slope using rise over run then simplify.

-6/4 , -3/2

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to find out the value of the fraction.

Let us assume that:

[tex] \sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x =2 + \dfrac{1}{x} [/tex]

[tex] \sf \longmapsto x =\dfrac{2x + 1}{x} [/tex]

[tex] \sf \longmapsto {x}^{2} =2x + 1[/tex]

[tex] \sf \longmapsto {x}^{2} - 2x - 1 = 0[/tex]

Comparing the given equation with ax² + bx + c = 0, we get:

[tex] \sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}[/tex]

By quadratic formula:

[tex] \sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2} [/tex]

[tex] \sf \longmapsto x = 1 \pm\sqrt{2}[/tex]

[tex] \sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}[/tex]

But "x" cannot be negative. Therefore:

[tex] \sf :\implies x = 1 + \sqrt{2}[/tex]

So, the value of the fraction is 1 + √2.

Answer:

what u will recieve

Step-by-step explanation:

please telle

Answer:

A.54

Step-by-step explanation:

because 162 divided by 3 equal 54.3

Answer:

25 Feet

Step-by-step explanation:

Im sorry if i am wrong, but it is 25 because the girl is 5 feet, and one feet less of a shadow. So it is obvious to me that the tree is 1 foot larger.

Answer:

x = 10

y = 5

Angle 1: 80 degrees

Angle 2: 45 degrees

Angle 3: 100 degrees

Angle 4: 35 degrees

Angle 5: 35 degrees

Angle 6: 45 degrees

Angle 7: 100 degrees

Step-by-step explanation:

Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.

To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.

(3x+5)+(5x-5)+100=180

(3x+5)+(5x-5)=80

8x=80

x=10

Now plug x in to solve for angle 5 and 6

3(10)+5 = 35.   Angle 5

5(10)-5 = 45.   Angle 6

Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.

(angle 2)+35 = 80

(angle 2) = 45 degrees

(angle 4)+45 = 80

(angle 4) = 35 degrees

To solve for y, set angle 7 equal to 100 degrees:

100 = y^2 + 15y

100 = y(y+15)

y = 5

Answer:

14/25=0.56

29/50=0.58

53/100=0.53

13/20=0.65

3/5=0.60

Answer:

2

Step-by-step explanation:

given the difference of twice a number and one is three to find "number" let the number be x

2x - 1 =3

2x = 4

x= 2

thus the number is 2

Answer:

A

2,3     3,4.5    5,7.5

B

every 1:1.5

C

3,4.5   4,6   5,7.5

Step-by-step explanation:

because this is eqauling to all of the numbers

Answer:

Step-by-step explanation:

Use the given formula and substitute the value of x:

f(1)

Done

Answer:

no

Step-by-step explanation:

The inverse of f(x) is when you switch the position of the x's and y's (or f(x))

x=3y+7, and then isolate the y so you get a normal function

(x-7)/3

Answer:

B

Step-by-step explanation:

because if you multiply the denominators

Answer:

about 315

Step-by-step explanation:

2,250×0.14

hope this helps!

Answer:

12

Step-by-step explanation:

-2x + 7=5

or, 7-5=2x

or, 2=2x

or, 2/2=x

or, 1=x

Then,

7x+5

=7×1+5

=7+5

=12

Answer:

x=1

Step-by-step explanation:

-7 both sides that will give you -2

-2x=-1 divide by -2 and u will get on i think that what you were asking

Hey there!

6x ÷ 23 = 0

6x = 23 × 0

6x = 0

x = 0/6

x = 0

Hope it helps ya!

Note :- There's a latex error so I think this was the question you meant ~~.

Answer:

[tex] \frac{6x}{23} = 0[/tex]

[tex]6x = 0 \times 23[/tex]

[tex]6x = 0[/tex]

[tex]x = \frac{0}{6} [/tex]

[tex]x = 0[/tex]

Answer:

x = 4 , y = 2

Step-by-step explanation:

Using the sine / tangent ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4

and

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

y [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 2

Answer:

1 that weighs 2pounds and 3 pounds,

Step-by-step explanation:

16 ounces in a pound

16x2 and 16x3

32

48

Answer:

1. 2x

2. 3x

3. 2x+5

4. (3x)^2

5. 3\4(x)

I hope it makes sense

have a great day

if any questions pls ask

Step-by-step explanation:

Assuming that the total stamp is x

According to the question

Izzati's stamps is 1/4

Ailing's number of stamps is 1/8

X= 1/4 x 1/8 = 5/8 - the remaining stamps.

Rina’s number of stamps is 7/10 x 5/8 = 35/80 x

5/8 x 35/80 = 15/80 - (Susan's stamps)

According to the question

15/80 = 42

X: 224

the total number of stamps originally is 224.

Answer:

This is a little late but it's D. ​1.15h+3=1.75h

Step-by-step explanation:

I took this test