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jekas [21]
3 years ago
10

If 2x-9=3x-26 then what is x

Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0
Answer: x=17

2x-9=3x-26
-2x -2x
———————
-9=1x-26
+26 +26
———————
17 = 1x
— —
1 1

17=x

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4. El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o
ira [324]

Answer:

Juan imprimió 7 páginas a color.

Step-by-step explanation:

Llamemos "b" a las copias en blanco y negro y "c" a las copias en color.

Juan imprimió 75 páginas. En forma simbólica es:

b + c = 75  

b = 75 - c   [1]

El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o  50 centavos si es a color. En total pago $6.90. En forma simbólica es:

0.05b + 0.5c = 6.90   [2]

Si reemplazamos [1] en [2],

0.05(75-c) + 0.5c = 6.90

3.75 - 0.05c + 0.5c = 6.90

0.45c = 3.15

c = 7

Juan imprimió 7 páginas a color.

4 0
2 years ago
Write the ratio 48 to 24 as a simplified fraction
hichkok12 [17]
2/1 is the answer that you’re looking for
4 0
3 years ago
Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. Th
german

Answer:

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. They won 12 more games than they tied.

To Find: How many wins and how many ties did the team​ have.

Solution:

let the number of wins hockey team have =\text{x}

let the number of ties hockey team have   =\text{y}

Now,

Hockey teams receive 2 points when they win and 1 point when they tie.

2\text{x}+\text{y}=66

They won 12 more games than they tied

\text{x}-\text{y}=12

Solving both equations we get

\text{x}=26

\text{y}=14

Hence, the hockey team have 26 wins and 14 ties.

3 0
3 years ago
Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really up
wlad13 [49]

we know that

acceleration due to gravity is 9.8m/s^2

so, we get

a(t)=9.8

and acceleration will always be constant

we know that

integral of acceleration is velocity

so, we can integrate both sides

\int \:a\left(t\right)dt=\int \:9.8dt

v(t)=9.8t+C

we are given

v(0)=35m/s

we can use it and find C

v(0)=9.8*0+C

35=9.8*0+C

C=35

now, we can plug it back

v(t)=9.8t+35

we know that

integral of velocity is height

we can integrate it again

\int \:v\left(t\right)dt=\int \:\left(9.8t+35\right)dt

s(t)=\int \:\left(9.8t+35\right)dt

s(t)=4.9t^2+35t+C

now, we have

s(0)=6

we can use it and find C

s(0)=4.9(0)^2+35(0)+C

6=4.9(0)^2+35(0)+C

now, we can plug back C

C=6

and we get

s(t)=4.9t^2+35t+6.............Answer

4 0
3 years ago
Read 2 more answers
The product of two positive numbers is 48. the larger number is 13 more than the smaller. Find both numbers [Only an algebraic s
Valentin [98]

Answer:

Larger number:

16

Smaller number

3

Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

and the smaller number is

b

.

You solve the following system of equations:

a⋅b=48

a−13=b

Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

a 2−13a=48

a2−13a−48=0

Factor the polynomial:

(a−16)(a+3)=0

a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

5 0
3 years ago
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