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zepelin [54]
3 years ago
13

10. Find the value of x. (5x+12) (3x+8)

Mathematics
2 answers:
xeze [42]3 years ago
8 0
Answer:20
5x add 3x is 8x 12 + 8 is 20 so 8x + 20 = 180 because it’s a straight line so 180-20 is 160 then divide 160 by 8 to work out 1 x rather than 8 x which is 20
Solnce55 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

This is an isosceles triangle so the two down angles are equal

(5x+12) + (3x+8) = 180° (angle on a straight line is equal 180°)

Open brackets

5x+12 + 3x+8 = 180

8x + 20 = 180

Collecting like terms

8x = 180 - 20

8x = 160

Dividing by 8

x = 160/8

x = 20°

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two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a sm
Aleksandr [31]

Answer:

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

  • "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
  • "x represents the measure of the smaller angle" is represented as x.

x + 7x+4 =180

8x+4=180

8x=176

x= 22

This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158

5 0
3 years ago
Shelley wants to purchase a cell phone package, which includes a free phone. The cost of the package is $0.10 per minute, for th
GarryVolchara [31]

Answer:

The function would be linear because the rate of change is constant.

Step-by-step explanation:

Given

Base= \$89.00

Rate = \$0.10 per minute

See attachment for complete question and options

First, we write the function that calculates the cost (C(t)) for t minutes.

This is calculated as:

Cost = Base + Rate * t

C(t) = 89.00 + 0.10 * t

C(t) = 89.00 + 0.10t

Rewrite as:

C(t) = 0.10t + 89.00

A function that has the above format is referred to as a linear function which has the general format

f(x) = mx + b

Where

m represents the slope/rate and it is constant

From the list of given options, (a) is correct.

6 0
3 years ago
Solv the following inequality.<br> p – 4 &lt; -11
bogdanovich [222]

Answer:

p < -7

Step-by-step explanation:

.................

6 0
3 years ago
The rate of change of the volume of a snowball that is melting is proportional to the surface area of the snowball. Suppose the
Alisiya [41]

Answer:

According to the passage, we have the next equation:

\frac{dV}{dt} = \frac{4}{3}\pi*3*r^{2}*\frac{dr}{dt} = K*(4\pi*r^{2} )

where "K" is a proportional constant

Leaving at the end with the next equation:

\frac{dr}{dt} = K

Integrating the equation, we have:

r=K*t+C

where "C" is a constant

Then, we have the 2 conditions for the problem:

1) t=0 → r=10

Replacing in the equation, we have C = 10

2) t=5 → r=8

Replacing in the equation, we have K = -0.4

Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation

0=-0.4*t+10

t = 25 minutes

6 0
3 years ago
A farmer must transport a fox, goose and bag of beans from one side of a river to
Travka [436]

Answer:

The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.

The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.

Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.

He returns to pick up the goose and heads back across the river one last time.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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