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pychu [463]
3 years ago
15

Cooper drove his car for 2 1/2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant spee

d of 40 miles per hour. How far did cooper drive?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0
Cooper would have drove 170 miles

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Help please! ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
solmaris [256]

Answer:

x= 1/2

and y=3

Step-by-step explanation:

Let's solve your system by substitution.

y=10x−2;2x+y=4

Step: Solvey=10x−2for y:

y=10x−2

Step: Substitute10x−2foryin2x+y=4:

2x+y=4

2x+10x−2=4

12x−2=4(Simplify both sides of the equation)

12x−2+2=4+2(Add 2 to both sides)

12x=6

12x

12

=

6

12

(Divide both sides by 12)

x=

1

2

Step: Substitute

1

2

forxiny=10x−2:

y=10x−2

y=10(

1

2

)−2

y=3(Simplify both sides of the equation)

Answer:

x= 1 /2

and y

3 0
2 years ago
A club with nineteen members is to choose three​ officers: ​ president, vice-president, and​ secretary-treasurer. If each office
lesya [120]

Answer:

5,814

Step-by-step explanation:

19 × 18 × 17

5,814

8 0
3 years ago
What is the value of x
RideAnS [48]

Answer:

x=5

Step-by-step explanation:

We can use the Triangle Angel Bisector Theorem


AB             2x-1

----------= --------------

AC               3x

9              2x-1

----------= --------------

15               3x


Using cross products

3x*9 = 15*(2x-1)

Distribute

27x = 30x-15

Subtract 30x from each side

27x-30x = 30x-30x-15

-3x = -15

Divide by -3

-3x/-3 =-15/-3

x =5

4 0
2 years ago
Lines c and d are perpendicular. The slope of line c is −23. Which equation is true?
Trava [24]

Answer:

1/23

Step-by-step explanation:

The perpendicular slope will be the opposite reciprocal of the original slope so if slope of c is -23, slope of d is 1/23

4 0
2 years ago
Show work and explain with formulas.
Juli2301 [7.4K]

20 Answer: a₁ = 4

<u>Step-by-step explanation:</u>

a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1

21 Answer: n = 13

<u>Step-by-step explanation:</u>

a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n

22 Answer: n = 5

<u>Step-by-step explanation:</u>

a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n

6 0
3 years ago
Read 2 more answers
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