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zzz [600]
4 years ago
6

1.2.1 adding whole numbers and applications

Mathematics
1 answer:
dimaraw [331]4 years ago
6 0

Answer:

4760

Step-by-step explanation:

Jan 3462 + Fev 1298 = 4760

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The length of a rectangular plot of land is 10 yards more than its width if the area of the land is 600 yd.² find the dimensions
Andrews [41]

Answer:

The dimension of the plot is 30 yd by 20 yd

Step-by-step explanation:

Given;

Area = 600 yd^2

Length = width + 10

l = w + 10 ......1

Area of a rectangular plot is;

Area A = length × width

A = l × w

Substituting equation 1;

A = (w+10) × w

A = w^2 + 10w

600 = w^2 + 10w

w^2 +10w -600 = 0

Solving the quadratic equation;

w = -30 or 20

cannot be negative

w = 20 yd

l = w+10 = 20+10 = 30yd

The dimension of the plot is 30 yd by 20 yd

6 0
3 years ago
Which equation represents a parabola that opens upward, has a minimum value of 3, and has an axis of symmetry at x= 3?
Ilya [14]

Answer:

y=(x-3)^2+3

Step-by-step explanation:

<u><em>The correct question is</em></u>

Which equation represents a parabola that opens upward, has a minimum value of y=3, and has an axis of symmetry at x= 3?

<em>Verify each case</em>

case 1) we have

y=(x+3)^2-6

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=-3 ----> is not ok

case 2) we have

y=(x+3)^2+3

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (-3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=-3 ----> is not ok

case 3) we have

y=(x-3)^2-6

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,-6)

The minimum value of y=-6 ----> is not ok

The axis of symmetry is x=3 ----> is ok

case 4) we have

y=(x-3)^2+3

This a vertical parabola open upward (the leading coefficient is positive)---> is ok

The vertex represent a minimum ---> is ok

The vertex is the point (3,3)

The minimum value of y=3 ----> is ok

The axis of symmetry is x=3 ----> is ok

6 0
3 years ago
Doug had been working 20 hours per week at a pet store for $8.00 per hour. His pay was increased to $8.50 per hour, and his hour
stellarik [79]

Answer:

$44

Step-by-step explanation:

First, find how much he was making originally:

Multiply the number of hours he worked by the amount he got per hour:

20(8)

= 160

Then, find how much he gets now:

24(8.50)

= 204

To find his total weekly pay increase, find the difference between them:

204 - 160

= 44

So, his total weekly pay increase is $44

5 0
3 years ago
Which equation represents a proportional relationship?
Sergeu [11.5K]
There is no equations 
7 0
4 years ago
Read 2 more answers
Honestly, I'm trying my best to solve this but my Math XL is being so rude. ​
Valentin [98]
<h3>Answer:  19</h3>

==============================================================

Explanation:

T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.

Set them equal to each other and solve for x.

PT = TQ

3x+7 = 7x-9

3x-7x = -9-7

-4x = -16

x = -16/(-4)

x = 4

So,

PT = 3x+7 = 3*4+7 = 19

TQ = 7x-9 = 7*4-9 = 19

Both PT and TQ are 19 units long to help confirm the answer.

5 0
3 years ago
Read 2 more answers
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