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3 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Answer:

Step-by-step explanation:

union means everything in both sets

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Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your way home, you travel at an average r

kenny6666 [7]

Answer:

14 miles

Explanation:

The relation that will be used to solve this problem is:

$Distance = Velocity*Time$

which can be rewritten as:

$Time = \frac{Distance}{Velocity}$

Assume that:

Distance from your house to your friend's house is d

Time taken from your house to your friend's house is t₁

Time taken from your friends house to your house is t₂

1- From your house to your friend's house:

Average rate = 35 miles/hour

Therefore:

$t_{1} = \frac{d}{35}$

2- From your friend's house to your house:

Average rate = 40 miles per hour

Therefore:

$t_{2} = \frac{d}{40}$

3- Round trip:

We know that the round trip took 45 minutes which is equivalent to 0.75 hours

This means that:

t₁ + t₂ = 0.75 hours

$\frac{d}{35}+\frac{d}{40}=0.75\\ \\\frac{40d + 35d}{1400}=0.75\\ \\\frac{75d}{1400}=0.75\\ \\ 1050 = 75d\\ d=14 miles$

Hope this helps :)

3 0

4 years ago

Pls I need help with this ASAP

nikitadnepr [17]

Angle DME and BMQ are equal cause they are opposite angles so you could equate the two to get the value of x. BME is a straight line so after finding the value of the angle BMQ you could do 180-(x+12) = 6y-x-12.

8 0

3 years ago

Read 2 more answers

For any positive number b not equal to 1 and any number or variable n, evaluate the following expression.

kirza4 [7]

Answer:

$log_{b} b^{n}$ = n.

Step-by-step explanation:

Given : $log_{b} b^{n}$ , b is any positive number not equal to 1 and n is any number.

To find : Evaluate the expression $log_{b} b^{n}$ .

Formula used : $log_{b} x^{y}$ . = y ∙ $log_{b}$ (x) and

$log_{b}(b) = 1.Solution : We have [tex]log_{b} b^{n}$ .

By logarithm rule : $log_{b} x^{y}$ . = y ∙ $log_{b}$ (x).

Then $log_{b} b^{n}$ = n∙ $log_{b}$ (b).

By logarithm rule : $log_{b}(b) = 1.Now, n∙ [tex]log_{b}$ (b) = n.

Therefore, $log_{b} b^{n}$ = n.

5 0

3 years ago

Read 2 more answers

Landon and Keira are preparing refreshments for a party. To make fruit punch, they will mix 2 gallons of grape juice with 1 cup

krek1111 [17]

Convert everything to oz 2 gal= 256 oz 1 cup= 8 oz 256+8+6= 270 oz They will make 270 oz of punch Hope I helped!!! :-)

8 0

3 years ago

Read 2 more answers

Evaluate 38+16 * 12÷2-(30 * 2)

Dvinal [7]

Answer

The answer is 8040

Step-by-step explanation:

It might be wrong, but here take it this way with Pemdas.

P= Parenthesis (30*2) and what's in there is multiplication correct? So, 30 times 2 is 60. Then, E is exponents. There's none there. So we skip to multiplication. 16 times 12 is what? 192. Next is division. So 192 divided by 2. That's 96. So, Then it'd be 38+96(60.) 38+96= 134. 134(60) That being said. That would equal = 8040 using Multiplication, 194 using addition. 74 using subtraction. And 2.2_ using division.

8 0

4 years ago