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3 years ago

8

Sergio bought 1 yard of yellow yarn. He used 21 inches of this yarn for a project. What part of the yarn that he bought did he u

se?

1 answer:

Nezavi [6.7K]3 years ago

8 0

Sergio did not use 15 inches of his yellow yarn

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Write an equation of the line that passes through the given point and is parallel to the given line.

saveliy_v [14]

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Step-by-step explanation:

Given equation of line is:

$y = -2x+7$

As the given line is in slope intercept form, the coefficient of x is the slope

Let m1 be the slope of given line

$m_1 = -2$

Let m2 be the slope of second line then

$m_2= -2$

The equation of line is given by:

$y= m_2x+b$

Putting the value of slope

$y = -2x+b$

Putting the point (4,1) in the equation

$y = -2x+b\\1 = -2(4)+b\\1= -8+b\\b = 1+8\\b = 9$

Putting the value of b in the equation

$y = -2x+9$

Hence,

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Keywords: Slope, intercepts

Learn more about slope at:

#LearnwithBrainly

3 0

3 years ago

4p-10<6p-8 or 10p+16<9p-3

Finger [1]

Answer:

p>-1 or p<-19

Step-by-step explanation:

4p-10<6p-8 (add 10 to each side)

4p< 6p+2 (subtract 6p from each side)

-2p<2 (divide by -2 and switch the sign)

p>-1

10p+16<9p-3 (subtract 16 from each side)

10p<9p+-19 (subtract 9p from each side)

p<-19

8 0

2 years ago

Rose and Andrew are financing 128,000 to purchase a condominium. They obtained a 15 year fixed rate loan with a rate of 5.05%. T

anzhelika [568]

Amount Financed(P) = $ 128,000

Time = 15 year

Rate of interest= 5.05%

Amount after 15 years translates to,

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{5.05}{100})^{15}\\\\ =128,000 \times (1.0505)^{15}\\\\=128,000 \times 2.0938\\\\=268,009.890$

Rose and Andrew has taken four points to lower their rate to 4.81% .

Amount after 15 years translates to, if rate of interest is 4.83 %

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{4.83}{100})^{15}\\\\ =128,000 \times (1.0483)^{15}\\\\=128,000 \times 2.0290\\\\=259713.0404$

Cost of four points = 268,009.890 - 259,713.0404

= $8296.8496

3 0

2 years ago

In this cohort, 75% of the 32 students are right-handed. How many students are right-handed?

Sergio039 [100]

24 students are right-handed

5 0

2 years ago

Which table shows a proportional relationship between x and y? A. x y 2 4 3 6 4 9 B. x y 3 4 9 16 15 20 C. x y 4 12 5 15 6 18 D.

Sliva [168]

Answer:

C.

Step-by-step explanation:

The relationship is proportion if y/x is constant.

So it is C because 12/4 = 15/5 = 18/6 = 3.

7 0

2 years ago