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marta [7]
3 years ago
10

How many solutions exist for the given equation? 0.75(x+40)=3(4x+1)-2

Mathematics
2 answers:
AveGali [126]3 years ago
6 0
The given equation is
0.75(x + 40) = 3(4x + 1) - 2

Expand the equation.
0.75x + 30 = 12x + 3 - 2
0.75 - 12x = 3 - 2 - 30
-11.25x = -29
x = -29/-11.25 = 2.5778

Answer: There is 1 solution, which is 2.5778.

maw [93]3 years ago
4 0
Let's eliminate the fractional multiplier 0.75.  To do this, mult the entire equation by 4/3:

x+40 = (4/3)(3)(4x+1) - 2(4/3)

(4/3)(3) simplifies to just 4, so now we have:

x+40 = 4(4x+1) - 8/3

Mult. all 3 terms by 3 to eliminate the fraction:

3x + 120 = 12(4x+1) - 8

Perform the multiplication:

3x + 120  = 48x + 12 - 8,            or            116 = 45x

Solving for x,    x = 2.578, or     x = 7/90 (answer)


We could also simplify the original equation,  <span>0.75(x+40)=3(4x+1)-2, by multiplying all 3 terms by 100:

75x + 3000 = 1200x + 300 - 200

Then 3000 - 300 + 200 = 1125x, and x = 7/90 (same as before)</span>
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Find the slope of the line that passes through the points (3,6) and (5, 3).<br> -3/2<br> 3/2<br> 2/3
Natalija [7]

Answer:

-3/2.

Step-by-step explanation:

To find the slope, we find the rise over run.

In this case, the rise is 6 - 3 = 3.

The run is 3 - 5 = -2.

The slope is 3 / (-2) = -3/2.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation
SCORPION-xisa [38]

Answer:

I think it's A and D

Step-by-step explanation:

For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months

for option D, y would be the total amount of money spent and x would be the number of granola bars bought.  total money spent = $0.23 × number of granola bars bought

Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.

In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change

8 0
3 years ago
What is the area of △ABC?
kirza4 [7]
Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²

Hope this helps :)

3 0
3 years ago
Help! answer options included
lawyer [7]

Answer:

Y = [-6  6 6 -6]

Step-by-step explanation:

From the given matrices

If X - 2Y  = Z

b - 2c = a ... 1

a -2d = c ...2

4+2a = 16.... 3

a + 2b = b .... 4

From3 ;

2a = 16-4

2a = 12

a = 6

From 4;

a + 2b - b = 0

a+b = 0

a = -b

6 = -b

b  = -6

From1;

b - 2c = a

-6 - 2c = 6

-2c = 12

c = -6

also

a - 2d = c

6-2d = -6

-2d = -6-6

-2d = -12

d = 6

Hence the matrices Y = [-6  6 6 -6]

4 0
3 years ago
Please answer this question I can't seem to figure it out I have even asked my parents.
nika2105 [10]

Answer:

j. Pam, Tia, Veronica, Lily (if it's youngest to oldest)

Step-by-step explanation:

If Tia is 8 yrs old and she's 2 yrs older than Pam, then Pam must be 6 yrs old. Pam si 5 yrs younger than Veronica who must be 11 + 4 = 15.

Tia: 8 yrs.

Veronica: 11 yrs

Pam: 6 yrs.

Lily: 15

4 0
3 years ago
Read 2 more answers
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