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n200080 [17]
3 years ago
13

Need help with this solve for x question!

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

x=4

Step-by-step explanation:

RS + ST = RT

5+ 2x-2 = 3x-1

Combine like terms

2x+3 = 3x-1

Subtract 2x from each side

2x+3-2x = 3x-1-2x

3 =x-1

Add 1 to each side

3+1 = x-1+1

4=x

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At bike shop x it costs $2.75 per hour plus a $3.00 deposit to rent a bike. at bike shop z it costs $1.75 per hour plus a $7.00
dem82 [27]

Answer:

Multiply the rate per hour by the number of hours (n) and add the deposit.

A)

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

n = 4 hours

6 0
3 years ago
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avanturin [10]

Answer:

Step-by-step explanation:

-12

3 0
3 years ago
The sum and the difference between the LCM and GCF of two numbers is 252 and 180, respectively. Find the numbers if one of them
Lubov Fominskaja [6]

Answer:

36 and 216

Step-by-step explanation:

Let  x and y be LCM and GCF respectively.

We are told that the sum and the difference between the LCM and GCF of two numbers is 252 and 180.

Upon using our information we will get a system of equations.

x+y=252..(1)

x-y=180..(2)

We will use substitution to solve this system of equations.

x=180+y

180+y+y=252

2y=252-180

2y=72

y=\frac{72}{2} =36  

Now let us find x using equation 1,

x=252-36=216

Therefore, LCM is 216 and GCF is 36.

Let a and b our numbers. Now let us find numbers using this information.

We are given that one of them is more than twice the other.

a>2b

There can be several such numbers. 36 and 216 can also be numbers. Let us check these numbers.

LCM of 36 and 216 is 216 and GCF is 36 and it satisfies our condition that a>2b  because 216 is more than twice 36.

Therefore, our numbers will be 36 and 216.  




8 0
4 years ago
Find the third term of (x^2 + 2)^4.
attashe74 [19]

Answer:

Step-by-step explanation:

in~the~expansion~of~(x+a)^n\\T_{r+1}=ncr x^{n-r}a^r\\r+1=3\\r=3-1=2\\n=4\\4c2=\frac{4 \times 3}{2 \times 1} =6\\T_{2}=4(x^2)^{4-2}(2)^2\\=16(x^2)^2\\=16x^4

7 0
3 years ago
Read 2 more answers
What is the perimeter of a square whose diagonal is 10 centimeters? Round to the nearest tenth, if necessary.
Alinara [238K]

Answer:

D

Step-by-step explanation:

I hope this correct and have a great day

6 0
3 years ago
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