An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 8,000 ounces on the model is equal to ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold pounds. Therefore, the bridge hold 1 ton.

Answer:

x = -6

Step-by-step explanation:

Simplifying

5x + 7 = 3x + -5

Reorder the terms:

7 + 5x = 3x + -5

Reorder the terms:

7 + 5x = -5 + 3x

Solving

7 + 5x = -5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

7 + 5x + -3x = -5 + 3x + -3x

Combine like terms: 5x + -3x = 2x

7 + 2x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0

7 + 2x = -5 + 0

7 + 2x = -5

Add '-7' to each side of the equation.

7 + -7 + 2x = -5 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = -5 + -7

2x = -5 + -7

Combine like terms: -5 + -7 = -12

2x = -12

Divide each side by '2'.

x = -6

Simplifying

x = -6

The solution to the equation 5x + 7 = 3x - 5 is x = -6.

We have,

To solve the equation 5x + 7 = 3x - 5, we need to isolate the variable x on one side of the equation.

Here's how we can do that:

Start by subtracting 3x from both sides of the equation to move all the x terms to one side:

5x + 7 - 3x = 3x - 5 - 3x

Simplifying, we get:

2x + 7 = -5

Next, subtract 7 from both sides of the equation to isolate the term with x:

2x + 7 - 7 = -5 - 7

Simplifying, we get:

2x = -12

Now, to solve for x, we divide both sides of the equation by 2:

(2x)/2 = (-12)/2

Simplifying, we get:

x = -6

Thus,

The solution to the equation 5x + 7 = 3x - 5 is x = -6.

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Answer:

i hope u accidentally hit the X and it doesn't save your work

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4x+12-2x=26

Or, 2x=26-12

Or, 2x=14

Or, x=7

Answer:

$6 Each

Step-by-step explanation:

First, add all the costs together:

3 $6 apps

   3*6=18

2 $3 desserts:

   2*3=6

Add the totals up to get a total of $24, then divide that by 4 since it's being split between 4 people.

Answer:

b

Step-by-step explanation:

when you multiply out using FOIL (First Inner Outer Last) you get b

Answer:

Side = [tex]5\sqrt5\ \text{feet}[/tex]

Step-by-step explanation:

Given that,

Area of a square room is 125 square feet

We need to find the length of one side of the room.

The area of a square shaped room is given by :

[tex]A=x^2[/tex]

Where, x is side of the square room

[tex]x=\sqrt{A} \\\\x=\sqrt{125}\\\\x=\sqrt{5\times 5\times 5}\\\\x=5\sqrt5\ \text{feet}[/tex]

So, the side of the room is [tex]5\sqrt5\ \text{feet}[/tex].

Answer:

y = mx + b slope(m) = 1/2 (-2,1)...x = -2 and y = 1 now we sub and solve for b, the y int 1 = 1/2(-2) + b 1 = -1 + b 1 + 1 = b 2 = b so ur equation is : y = 1/2x + 2 <== here is one answer y - y1 = m(x - x1) (slope(m) = 1/2 (-2,1)...x1 = -2 and y1 = 1 now we sub y - 1 = 1/2(x - (-2) = y - 1 = 1/2(x + 2) <== here is another answer

Step-by-step explanation:

Answer:

6a^2 - 13ab - b^2 (option 1)

Step-by-step explanation:

(3a^2 - 5ab + b^2) - (-3a^2 + 2b^2 + 8ab)

3a^2 - 5ab + b^2 + 3a^2 + -2b^2 + -8ab

6a^2 - 13ab - b^2

Answer: 6a^2 - 13ab - b^2

Step-by-step explanation:

3a^2 - 5ab + b^2

+3a^2 - 8ab - 2b^2

=

6a^2 - 13ab - b^2

Answer:

15

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] - 4d - 6 = - 10 \\ - 4d = - 10 + 6 \\ - 4d = - 4 \\ d = 1[/tex]

i think so…

Answer:

_4d=_10+6

_4d=_4

_4/_4d=_4/_4

d=1

Answer: 18 miles

12 ÷ 4 = 3. So, we must multiply 3 by 6 to find how much Joe walks for 6 trips to school.

-------------------------------------------------------------------------------------------------------------------------

Now, we must multiply the number 6 by 3.

6 x 3 = 18

-------------------------------------------------------------------------------------------------------------------------

Answer = 18

Answer:

18 miles

Step-by-step explanation:

We can write ratios to solve

12 miles    x miles

----------  = ------------

4 trips          6 trips

Using cross products

12 *6 = 4x

72 = 4x

Divide by 4

72/4 = 4x/4

18 miles

Answer: 40

Step-by-step explanation: 50x0.8=40

Okay, maybe im wrong? But i dont see how its 4 thats more than half.

Rodger can do 46 pushups.

50 * 0.92 = 46

Edit: To better clarify, 0.92 is from 1.00 - 0.08.  

... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92

Keep in mind that:

1.00 = 100%

0.08 = 8%

0.92 = 92%

After finding this you may multiply 50 * 0.92 to get 46.

Answer:

This is a picture of a hexagon of equal sides and unequal angles.

Answer:

8x² - 27x + 20

Step-by-step explanation:

Given

4x(2x - 3) - 5(3x - 4) ← distribute both parenthesis

= 8x² - 12x - 15x + 20 ← collect like terms

= 8x² - 27x + 20 ← in standard form

Answer:

-19x+20

Step-by-step explanation:

So we need to simplify this the first step is

4x(2x-3)  The first part of the equation

4x(2x) - 4x(3)

8x -12x

-4x

then the second part

-5 (3x-4)

-5(3x)+20

-15x+20

add togeter

-4x-15x

-19x

-19x+20

Answer:

x+10=yz

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

Answer:

The answer is 9.

Step-by-step explanation: Things to know: c is total cost and t tickets. 800 is the total cost so plug it in to c. You want to get t (tickets) alone.

original: c(t)=87.50t+12.50

Now with the 800: 800=87.50t+12.50

Subtract 12.50 to both sides: 787.5=87.50t

Divide 87.50 to both sides: 9=t

Hopefully this helped. :]

Answer:

1.25x + 1.5y=25

Step-by-step explanation:

let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.

The required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.

Given that,
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of each prize she can buy is ot be determined.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Let the number of lip balm that can be purchased be x,  and the number of mini notebooks purchased be y,
according to the question,
1.2x + 1.50y = 25

Thus, the required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.

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AnswerI dont kow

Step-by-step explanation:

Respuesta: 50N

Explicación paso a paso:

Dado lo siguiente:.

Tensión (T) = 52,9 N

Masa (m) = 10,5 kg

La normal se obtiene usando la relación:

N = mg - T; donde N = normal, g = aceleración debida a la gravedad (9,8 m / s²)

N = mg - T

N = (10,5 * 9,8) - 52,9

N = 102,9 - 52,9

N = 50 N

Answer:

hey ¿How are you?

Step-by-step explanation:

bye

Answer:

8:3 and 3:8

Step-by-step explanation:

Answer:

[tex]m=20c[/tex]

Step-by-step explanation:

Let m represent the total money collected and c represent the amount of cars washed.

We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:

[tex]m=kc[/tex]

Where k is a constant.

We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:

[tex]140=7k[/tex]

Find k. Divide both sides by 7:

[tex]k=20[/tex]

So, the value of k is 20.

We can now substitute k back into our direct variation equation:

[tex]m=20c[/tex]

This means that every car costs $20 to wash.

And we're done!

Answer:

7x140=980

Step-by-step explanation:

7x140= what

Answer:

The rate of change or the slope is 7. (If you were to graph this, you would use 7/1.

Step-by-step explanation:

To find the slope when you're given two sets of points, you must find the distance from the y values and the distance from the x values!

Y values: distance from -2 to 5 is +7

X values: distance from -2 to -1 is +1

7/1 or just 7.

Hope this helps! :)

Answer:

2.6 is the distance

Step-by-step explanation:

9.1 - 6.5 = 2.6

Answer:

It seems that the slope of this line is 1/5, yet none of the answers correspond to this. Double-check by finding two points on the line, and use the slope formula: (y2-y1/x2-x1). Also, remember that slope is rise/over run. I hope this can guide you!

Answer: the answer is not included in the options

Step-by-step explanation:

The slope of the line can be depicted by the following formulas: 1. Rise/run 2. Y1-y2/ x1-x2

If we were to use the second formula and “plug” in numbers for the variables, the slope we calculate is less than 1

Answer:

41,300

you can take the 4.13 and put it in the first three spaces hope this helps

Answer:

its 41300 just add your powers, its like 4.13 to the ten-thousanth power

Step-by-step explanation:

put the 4 infront of the decimal and 13 behind, and move it and add places markers till you get where u need to go

(sorry, im not THAT good at explaining things -ω-