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Scrat [10]
3 years ago
10

Solve for x. Express the answer in simplest form.1/7 = 3/4x - 1

Mathematics
1 answer:
shtirl [24]3 years ago
4 0
1/7 = 3/4x-1
3/4x=1/7+1=8/7
x=8/7*4/3=32/21
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If AC=18x-7,find the x. Round to the nearest hundredth if necessary <br>AB=7x+29 <br>BC=30​
Margaret [11]

Answer:

x=6

Step-by-step explanation:

AC = AB + BC

18x-7=(7x+29)+30

18x-7=7x+29+30

18x-7=7x+59

Add 7 to both sides:

18x-7+7=7x+59+7

18x=7x+66

Subtract 7x from both sides:

11x=66

Divide both sides by 11:

\frac{11x}{11}=\frac{66}{11}

x=6

6 0
3 years ago
A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of  700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We  calculate the  acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2     where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a =  75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

8 0
3 years ago
HELP PLEASEEEEE<br><br><br> Combine like terms to simplify the expression:<br> 1.17-0.07a+(-3.92a)
chubhunter [2.5K]

Answer: hope this helps


Step-by-step explanation:

Simplifying

1.17 + -0.07a + (-3.92a) = 0

Combine like terms: -0.07a + (-3.92a) = -3.99a

1.17 + -3.99a = 0

Solving

1.17 + -3.99a = 0

Solving for variable 'a'.

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

Add '-1.17' to each side of the equation.

1.17 + -1.17 + -3.99a = 0 + -1.17

Combine like terms: 1.17 + -1.17 = 0.00

0.00 + -3.99a = 0 + -1.17

-3.99a = 0 + -1.17

Combine like terms: 0 + -1.17 = -1.17

-3.99a = -1.17

Divide each side by '-3.99'.

a = 0.2932330827

Simplifying

a = 0.2932330827

6 0
3 years ago
Find tan A for the triangle below.<br><br> a 1.5<br> b. 0.667<br> C. 0.832<br> d. 1.202
Kaylis [27]

Answer:

B

Step-by-step explanation:

on edge

3 0
3 years ago
Which equation represents a linear function rule for the following set of ordered pairs?
d1i1m1o1n [39]

The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

<h3>What is the Equation of a Linear Function?</h3>

Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.

Find the slope (m):

Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)

Slope (m) = -3/1 = -3

Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:

-1 = -3(1) + b

-1 = -3 + b

-1 + 3 = b

2 = b

b = 2

Substitute m = -3 and b = 2 into y = mx + b

y = -3(x) + 2

y = -3x + 2

Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

Learn more about equation of linear function on:

brainly.com/question/15602982

3 0
2 years ago
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