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GarryVolchara [31]
3 years ago
11

Michael and his brother eric both live 5 miles from the park. If michael rides his bike at an average of 12 mph and eric rides h

is bike at an average of 10 mph.
If michael and eric leave their houses at the same time, how long (in minutes) will michael be waiting for eric to get their?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:5 min I think

Step-by-step explanation: 5 min I think

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Translate the sentence into an equation. Twice the difference of a number and 2 equals 9 . Use the variable y for the unknown nu
xxMikexx [17]
Since difference is subtraction, that means that y-2=9 and by adding 2 to both sides we get y=11
8 0
2 years ago
Can you help me with this plz
Salsk061 [2.6K]

Hello there

Please check attached image for answer.

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2 years ago
Why do you weigh more on earth than space?
Rama09 [41]

Hello there, Lithommie


You see accroding to newtons gravitational law an object that weighs more on earth wieghs less in space due to the lack of strenthness of gravity.


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6 0
2 years ago
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we
Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0
3 years ago
Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in
pav-90 [236]
<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0
3 years ago
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