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Lorico [155]
3 years ago
8

What is the solution to the equation? Need help with both 3 and 4

Mathematics
2 answers:
In-s [12.5K]3 years ago
4 0
3. -1
4. 19/4
hope i helped!

bezimeni [28]3 years ago
4 0
3) We can simplify the equation by getting rid of the denominators. We can do this by multiplying each term by 5:

3p + 8 = 5

Solve for p:

3p = -3

p = -1

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

4) Cross multiply:

4(w+14) = 3(4w+6)

Distribute:

4w + 56 = 12w + 18

Solve for w:

56 = 8w + 18

38 = 8w

w = 38/8

Reduce:

w = 19/4
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What value of b will cause the system to have an infinite number of solutions?
Leya [2.2K]

Answer:

-6

Step-by-step explanation:

V = 6x + b

 1/2 V -3 x = -3

V - 6x = -6

V - 6x  =  b

3 0
3 years ago
Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)
Alexxandr [17]

Answer:

\%Percent = 30 \%

Step-by-step explanation:

Given

Shaded = 6\ cubes

Box = 5\ x\ 4

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

Box = 5\ x\ 4

Express as multiplication

Box = 5\ *\ 4

Box = 20

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

\%Percent = \frac{Shaded}{Box} * 100\%

\%Percent = \frac{6}{20} * 100\%

\%Percent = \frac{6* 100}{20} \%

\%Percent = \frac{600}{20} \%

\%Percent = 30 \%

<em>30% were shaded</em>

5 0
2 years ago
Please help!!
erastova [34]

Answer:

  180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

  • the sum of interior angles of a triangle is 180°
  • the angles of a linear pair are supplementary (they total 180°)

__

The first of these rules answers the first two questions:

  • interior angles total 180°
  • angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

  • angles 3 and 4 total 148°

The second rule answers the next question:

  • angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

  • angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

  X + 32° = 180°

  X +32° -32° = 180° -32° . . . . . . subtraction property of equality

  X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0
3 years ago
Ted throws an object into the air with an initial vertical velocity of 54 feet per second from a platform that is 40 feet above
ANTONII [103]

PERFECT application of the general equation of things
that are moving up and down in gravity:

                               H(t) = H₀ + v₀t + 1/2 g t²

t  =  time after the toss
H(t)  =  height at any time after the toss
H₀  =  height from which it's tossed
v₀ =  initial speed
g  =  acceleration of gravity

I'm going to call 'UP' = the positive direction .
So ...

H₀ = +40 ft
v₀  =  +54 ft/sec
g  =  -32 ft/sec²

When the object hits the ground, H(t) = 0 .
So you have ...

   0  =  40  +  54 t  -  16 t²

Let me re-write that for you, to make it a
little easier and more familiar:

                                        - 16 t²  +  54 t  +  40  =  0       

Divide each side by -2 :      8 t²   -  27 t  -  20  =  0 

Now go to your toolbox, pull out your quadratic formula,
solve that quadratic equation, and you'll get the usual two
solutions. 

The positive one is the one you want. 

The negative one refers to time before the toss, and may be discarded.

4 0
3 years ago
Read 2 more answers
**BRAINLIEST IF ANSWERED*****
Elena L [17]

Answer:

<h3>The answer is 10pi</h3>

Step-by-step explanation:

Circumference of a circle is 2πr

where r is the radius

radius = 5

Circumference of circle P is

2π × 5

<h2>= 10π</h2>

Hope this helps you

3 0
3 years ago
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