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Contact [7]
3 years ago
8

Help me someone anyone anything anybody Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left

. How much money did you have initially? Write and solve an inequality that represents this situation
Mathematics
2 answers:
Ymorist [56]3 years ago
7 0
63 initially
Tonya is running a marathon she ran 12 miles she had 51 miles left now many miles is the whole marathon
Anit [1.1K]3 years ago
5 0
Explanation:
x-12 ≥51

x-12≥51
+12 +12
( ADD 12 TO BOTH SIDE)

the answer would then be x≥63 , 63
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ANSWER AND EXPLAIN I’LL MARK BRAINLIEST PLEASE ILL MARK BRAINLIEST
masya89 [10]

Answer:

160 meters

Step-by-step explanation:

Before I begin, note that distance = rate * time (or d = r * t)

To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)

So, let's set the time that Janiyah takes as x (in seconds). So, he covers

d = r * t, or 8x meters

Then, Connor's equation would be

d = r * t

d = 5x + 60 (because he got a 60 meter headstart)

Because d is the same in both equations, to solve for the amount of time they run:

8x = 5x + 60

Subtract 5x from both sides.

3x = 60

x = 20

Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x

8x = 8 * 20 = 160

So, Janiyah ran 160 meters.

Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so

5x + 60 = 160

5 * 20 + 60 = 160

100 + 60 = 160

160 = 160

True.

So, the answers are correct.

I hope this helps! Feel free to ask any questions!

3 0
2 years ago
On a snowy winter's eve, two candles are lit at the exact same time. A 18-inch candle and a 21-inch
frosja888 [35]
25 more minutes the candle was burning
5 0
3 years ago
What is the product of 2X plus 3 and 4X squared minus 5X plus 6
Tju [1.3M]
The product of something means multiplying the terms together.

(2x+3) (4x^2-5x+6)

Secondly you need to distribute the terms to each other (Think of problems like FOIL)

2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6

Then you must take into account that some of the numbers are negative. (minus-plus rules!)

2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6

Now is the tricky part of simplifying everything. 

2x * 4x^2 = 8x^3 

2x * 5x = 10x^2

2x * 6 = 12x

3 * 4x^2 = 12x^2

3 * 5x = 15x

3 * 6 = 18

8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18

Then you group like terms.

8x^3 - 10x^2 + 12x^2 - 3x + 18

8x^2 + 2x^2 - 3x + 18

The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!


5 0
3 years ago
It is: THE SUM OF THREE CONSECUTIVE NUMBERS IS 78 WHAT IS THE SMALLEST OF THREE NUMBERS?
TiliK225 [7]
-----------------------------------------------
Define x :
-----------------------------------------------
Let the smallest number be x.
The other two numbers will be x+1 and x+2.

-----------------------------------------------
Construct equation :
-----------------------------------------------
The sum of all 3 numbers is 78
⇒ x + x + 1 + x + 2 = 78

-----------------------------------------------
Solve x :
-----------------------------------------------
x + x + 1 + x + 2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
x = 25

-----------------------------------------------
Answer: Smallest number = 25
-----------------------------------------------
8 0
3 years ago
Read 2 more answers
The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is
Greeley [361]

Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

3 0
2 years ago
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