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liberstina [14]
3 years ago
6

A car is driving down a road at a normal speed of 50 miles per hour. It enters a hilly area of gradual incline and decline, wher

e it must drive 50 miles up hill and then 50 miles downhill. If this 100 mile section of road takes 2.6 hours to traverse instead of the expected 2 hours (the time it would take if the road was completely flat) determine the speed that the hills add or subtract when going over.
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

Step-by-step explanation:

I'm going to assume that the car goes 50-x mph uphill and 50+x mph downhill.

x ≅ 24 miles per hour

26 mph uphill and 74 mph downhill

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A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the valu
Ganezh [65]
The taxes are figured as follows:  0.089(value of car)

Here the taxes are 0.089(value of car) = $1100.

Divide both sides of this equation by 0.089 to determine the value of the car.

value of car = $12359.55, or approx $12360.
8 0
3 years ago
Find angle A and angle B..​
ExtremeBDS [4]

Step-by-step explanation:

\sf{\bold{\blue{\underline{\underline{Given}}}}}

\tt{\angle{c}=110°}

and,

\tt{BC=AC}

⠀⠀⠀⠀

\sf{\bold{\red{\underline{\underline{To\:Find}}}}}

☆Find the \angle{B} ~and~\angle{A}

\sf{\bold{\purple{\underline{\underline{Solution}}}}}

Here,

BC =AC

so,

⠀⠀⠀

\angle{A}=\angle{B}

we know that,

\tt{\boxed{\pink{\angle{A}+\angle{B}+\angle{C}=180°}}}

But \angle{C}=110°(Ģìvéñ)

so..

\angle{A}+\angle{B}+110°=180°

\angle{A}+\angle{A}+110°=180°

\because{\angle{A}=\angle{B} }

2\angle{A}=180°-110°

2\angle{A}=70°

\angle{A}=\dfrac{70°}{2}

\boxed{\orange{\angle{A}=35°}}

But...

\angle{A}=\angle{B}

soo,

\boxed{\orange{\angle{B}=35°}}

\sf{\bold{\green{\underline{\underline{Answer}}}}}

⠀⠀⠀⠀

\boxed{\green{\angle{A}=35°}}

\boxed{\green{\angle{B}=35°}}

7 0
2 years ago
Which expression has the same value as 4÷25?
Hatshy [7]

Answer:

We need the choices, since there are plenty equations with the same value.

Step-by-step explanation:

4/25=0.16

Whichever equation equals 0.16 is your answer.

6 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is
Pani-rosa [81]

Answer:

14

Step-by-step explanation:

First you do 325 - 13.50 , then you just divide 311.50 by 21.25, and because you cant have .6 of a friend its 14 :)

3 0
3 years ago
A recursive rule for an arithmetic sequence is a₁=4;a_n=a_(n−1)−3 .
steposvetlana [31]

The explicit formula of the arithmetic sequence:

a_n=a_1+(n-1)d

d - common difference

We have the recursive formula of an arithmetic sequence:

\left\{\begin{array}{ccc}a_1=4\\a_n=a_{n-1}-3\end{array}\right

Therefore we have:

a_1=4,\ d=-3

Substitute:

a_n=4+(n-1)(-3)=4-3n+3=7-3n

<h3>Answer: aₙ = 7 - 3n</h3>
3 0
3 years ago
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