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Brums [2.3K]
2 years ago
14

Jeff wants to spend at most $89 on his mom's birthday gifts. He already bought her a

Mathematics
1 answer:
Andrew [12]2 years ago
4 0

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

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4/x - 3/y = 1 ; 6/x + 15/y = 8 solve this equation​
Soloha48 [4]

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

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3 years ago
Geometry Helps please<br> (Only correct Answers only please) Thanks!
nlexa [21]

Answer:

301.44 cubic units

Step-by-step explanation:

volume \: of \: cone \\ \\   =  \frac{1}{3}\pi {r}^{2}  h \\  \\  =  \frac{1}{3}  \times 3.14 \times  {(6)}^{2}  \times 8 \\  \\  = \frac{1}{3}  \times 3.14 \times 36 \times 8  \\  \\  = 3.14 \times 12 \times 8 \\   \\ = 301.44 \:  {units}^{3}  \\  \\  \red{ \bold{volume \: of \: cone = 301.44 \:  {units}^{3}}}

7 0
3 years ago
The angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum o
Airida [17]

Step-by-step explanation:

It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.

<u>Let me define the each terms.</u>

1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.

  • 60° + 60° + 60°
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2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.

  • 90° + 90°+90°+90°
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Similarly,

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So, sum of the angles of an octagon = 135° × 8

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Therefore, the required sum of the angles of an octagon is 1080°

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3 years ago
What are the solutions of 12 - x2 = 0?
tester [92]

Answer:

±2 sqrt(3) =x

Step-by-step explanation:

12 - x^2 = 0

Add x^2 to each side

12 - x^2 + x^2 = x^2

12 = x^2

Take the square root of each side

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3 years ago
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Answer:

D

Step-by-step explanation:

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