MATHEMATICS HIGH SCHOOL

Mark cycled 25 miles at a rate of 10 minutes per hour. How long dis it take Mark to cycle 25 miles

Answers

Answer 1
Answer:

Answer:

2.5 hours.

Step-by-step explanation:

We have been given that Mark cycled 25 miles at a rate of 10 miles per hour.

To find how many hours Mark took to cycle 25 miles we will divide 25 by 10.

\text{Time taken by Mark to cycle 25 miles}= \frac{25\text{ miles}}{10(miles)/(hour)}

\text{Time taken by Mark to cycle 25 miles}=\frac{25\text{ miles}}{10}* \frac{\text{hour}}{\text{miles}}

Upon cancelling out miles from numerator and denominator we will get,

\text{Time taken by Mark to cycle 25 miles}=(25)/(10) \text{ hour}

\text{Time taken by Mark to cycle 25 miles}=2.5\text{ hour}

Therefore, Mike will take 2.5 hours to cycle 25 miles.

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Find the domain and range of function y = √(−x^{2} −6x+2)

Answers

y=√(-x^2-6x+2)\n\nD:-x^2-6x+2\geq0\n\na=-1;\ b=-6;\ c=2\n\n\Delta=b^2-4ac;\ iff\ \Delta \geq0\ then\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-6)^2-4\cdot(-1)\cdot2=36+8=44;\ \sqrt\Delta=√(44)=√(4\cdot11)=2√(11)\n\nx_1=(6-2√(11))/(2\cdot(-1))=-3+√(11);\ x_2=(6+2√(11))/(2\cdot(-1))=-3-√(11)\n\nlook\ at\ the\ picture\n\nD:x\in\left<-3-√(11);-3+√(11)\right>

Is 2 gallons equal to 10 quarts

Answers

no two gallons is 8 quarts
2 gallons would be 8 quarts

Please help me answer this I'm so confused

Answers

Hi Akeka,

So in the image, it's a little hard to see some of the bits, but I hope I am getting this right.  

One of the options is Rotation, r (180° (lambda) (5,0)).

Now, if I'm remembering high school correctly, this means that Δ ABC needs to be rotated 180°, on the point (5,0) in order to get Δ DBE.

Looking back at the image, we can see that both triangles share the point B, which is at (5,0).  Now, to visually check, we can see that points C and E are exactly 180° apart from each other (think of the angle), and points D and A are exactly 180° apart.

We can see that Δ DBE is Δ ABC, rotated 180° on the point (5,0).

-Hope this helps and I hope I did this right!

Product A is an 8-oz. Bottle of cough medication that sells for $1.36. Product B is a 16-oz. Bottle of cough medication that cost $3.20. What product has the lower unit price?

Answers

Product A is 8 oz and sells for = $1.36

So, 1 oz of Product A will cost = (1.36)/(8) = $0.17

So, unit price of product A is $0.17

Product B is 16 oz and sells for = $3.20

So, 1 oz of product B will cost = (3.20)/(16) = 0.20

Unit price of product B is $0.20

Hence, comparing the two unit prices, Product A has a lower unit price.

PLEASE ANSWER: Which expression is equivalent to the expression below?

4r + 9 + r+ 2p - 3


CHOICES:

5r + 2p + 6

7r + 6

14r - p

5r + 2p - 12

Answers

Answer:

5r + 2p + 6

Step-by-step explanation:

4r+r = 5r

9-3 = 6

Which strategies can be used to solve this problem? Rosa organized a game day at her house. She plans to have 2 groups of 5 people play charades, and 3 groups of 4 people play board games. What is the greatest number of people who could be at Rosa's game day?

Choose all answers that are correct.

A.
Draw a diagram.
Draw 2 squares and 5 circles. Then draw 3 squares and 4 circles. Add the total number of squares and circles.

B.
Use logical reasoning.
Think that finding 2 groups of 5 is the same as 2 × 5 = 10 and that 3 groups of 4 is the same as 3 × 4 = 12. Then add 10 + 12.

C.
Model the problem.
Show 2 groups of 5 chips and 3 groups of 4 chips. Then count all the chips.

D.
Translate into an equation.
2 × 3 × 4 × 5 = n

Answers

B and C are both correct.
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