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3 years ago

After a 25% discount, the price of a bike is $146. What was the original price of the bike?

Mathematics

1 answer:

ra1l [238]3 years ago

4 0

I put 0.75 because it is 25% discount which means you need to subtract it from 100.the rest is there.hope this helps if it does please mark brainliest

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James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?

andreev551 [17]

James'age : 12, Kate's age : 7

<h3>Further Explanation </h3>

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

$\large{\boxed{\bold{ax=b}}}$

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large{\boxed{\bold{ax+by=c}}}$

x, y = variable

In the statement of the task:

James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2 ⇒equation 1

Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K ⇒equation 2

So the solution is:

Equation 2 is entered into equation 1 so that it becomes:

19-K = 2K-2

21 = 3K

K = 7

because J + K = 19, then the value of J = 19-7 = 12

<h3>Learn more</h3>

the slope-intercept form of the linear equation

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Keywords : Age, variable, linear equation

4 0

3 years ago

1/2 (6x-10) - x =<br><br> What's the other side of the equation?

LiRa [457]

Answer:

Step-by-step explanation:

1/2 (6x-10) - x

Opening bracket

= 6x/2 - 10/2 - x

= 3x - 5 - x

= 2x - 5

4 0

3 years ago

At dinner, the meal cost $22 and a $1.87 sales tax was added to the bill. What would be the total amount if the meal cost $80.

Helen [10]

1.87 is 8.5% of 22 so 8.5% of 80 is 0.085 x 80 so $6.80

3 0

2 years ago

PLZ HELP ASAP DIVIDE LINE SEGMENTS

rodikova [14]

Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3

xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3

yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2

B=(xb,yb)→B=(-3,2)

Answer: B=(-3,2)

7 0

2 years ago

A farmer is designing a field for his new horse. In order for the field to fit into his farm, the angle θ must be less than 40◦,

vovangra [49]

Answer:

The field will not fit

Step-by-step explanation:

To find the angle, we will use cosine rule;

c² = (a² + b² - 2abcosC)

C in this case is θ

Thus;

15² = (8² + 20² - 2(8 × 20)cos θ)

225 = (64 + 400 - 320cos θ)

464 - 225 = 320cos θ

cos θ = 239/320

θ = cos^(-1) 0.7469

θ = 41.68°

Thus angle is not less than 40° as recommended. Thus, the field will not fit.

5 0

3 years ago