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drek231 [11]
1 year ago
11

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Mathematics
2 answers:
n200080 [17]1 year ago
6 0
The first step in solving 3p - 7 + p = 13 would be to simplify 3p - 7 + p so it can be 4p - 7.

So the resulting equation AFTER the first step would be 4p = 13 + 7.
Marizza181 [45]1 year ago
3 0
The equation after the first step would be: 4p-7=13
that's all you can do in one step, and it calls combine like terms. On the next step you use the addition property of equality to add 7 on both side and it would gives you 4p=20.
if they asked to solve for P then you can use the division property of equality to divide 4 on both side. 
p=5
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A shoe factory produces 1.81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it ma
quester [9]

Answer:

2*10 ^6 shoes in 10 years

Step-by-step explanation:

1.81 × 10^4 pairs of shoes each month

1.2 × 10^2 months in 10 years

Multiply these together to determine the number of shoes in 10 years

1.81 × 10^4 * 1.2 × 10^2

We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1

2 × 10^4 * 1 × 10^2

Multiply the numbers

2*1 = 2

Add the exponent

10 ^ ( 4+2)

10 ^6

Put this back together

2*10 ^6

4 0
1 year ago
Read 2 more answers
* 6. You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a day.
Anni [7]

Answer:

f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.

Step-by-step explanation:

Let x be the number of days you want to rent

The flat rate for car rental is $35 a day

As for insurance, $10 for 3 days or fewer, and $5 per day if more than 3 days that is

\left \{ {{10, x \leq 3} \atop {5x, x>3}} \right.

Combine this with the flat rental rate $35 a day and we have

f(x) = \left \{ {{35x + 10, x \leq 3} \atop {35x + 5x = 40x, x>3}} \right.

7 0
1 year ago
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units
Nezavi [6.7K]
I think the points given here are plotted linearly: 

FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.

5 0
2 years ago
Read 2 more answers
A race car driving under the caution flag at 40 feet per second begins to accelerate at a constant rate after the warning flag.
shtirl [24]

Answer:

t = 1.667 s

Step-by-step explanation

The distance traveled since the warning flag in feet is characterized by

d = 30*t^2 + 40*t

Where t is the time in seconds after the car starts accelerating.

We can easily solve this question by plotting the equation using a graphing calculator or plotting tool.

We need to find the time for which the distance d = 150 ft

150 = 30*t^2 + 40*t     , t > =0

We can see that this value in the graph is approximately

t = 1.667 s

We can verify

30*(1.667)^2 + 40*(1.667 ) ≈ 150

7 0
2 years ago
Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?
kirill [66]

Answer:

From the figure, it can be seen that the mage A'B'C' is obtained from the pre-image ABC by translating/shifting the vertices of the image by 7 units to the right and 6 units down.

Therefore, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y – 6).

8 0
1 year ago
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