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Trava [24]
3 years ago
6

A pear costs x cents. An orange costs y cents less

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Step-by-step explanation:

Pear cost=x

Orange cost=x-y

4 pears= 4x

6 oranges=6x-6y or x-y x6

Use ratio.

Pears: x cents

4 Pears: 6x cents

You x4 on each side. Same with oranges.

Orange: x-y

6 oranges: x-y x6

You x6 on each side.

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Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).
Alchen [17]

Answer:

\large\boxed{y=\dfrac{4}{3}x}

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

m=\dfrac{y}{x}

We have the point (6, 8). Substitute:

m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}

Finally:

y=\dfrac{4}{3}x

4 0
3 years ago
Julie wants to purchase a new home in six years. She thinks that she can purchase a nice home in a good neighborhood for $60,000
MrMuchimi

Answer:

$208.33

Step-by-step explanation:

Julie has to make the down payment which is 25% of $60000 after saving for 6 years.

Therefore, Julie has to save a total of 60000 \times \frac{25}{100} = 15000 dollars.

And Julie has to save it for the duration of 6 years i.e. (6 × 12) = 72 months.

Hence, Julie has to save \frac{15000}{72} = 208.33 dollars every month to make the down payment after 6 years. (Answer)

7 0
3 years ago
HELP ASAP WILL PUT FIRST AS 5 STAR, THANK YOU AND ALSO A BRAINLEIST!!<br><br><br><br>​
kifflom [539]

Answer:

17. 13 miles : 1 hour

19. 12 saved : 1 week

21. $0.47 : 1 pound

23. $1.33 : 1 gallon

Step-by-step explanation:

Your goal is to make the second numbers, "1." So divide the first numbers by the second number to simplify.

Ex: 104 ÷ 8 = 13 Therefore, 13 miles per 1 hour (13 miles : 1 hour)

3 0
3 years ago
I NEED HELP...finding the slope-intercept form equation
Simora [160]

Answer: y=-13/12x-7

Step-by-step explanation:

To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. We use the two given points to find the slope.

m=\frac{32-6}{-36-(-12)} =\frac{26}{-24} =-\frac{13}{12}

Now that we have our slope, we can start filling out the slope-intercept form equation.

y=mx+b

y=-13/12x+b

Since we don't know the y-intercept, we can use one of the given points and solve for b.

6=(-13/12)(-12)+b                              [multiply (-13/12) and -12]

6=13+b                                              [subtract both sides by 13]

b=-7

With the y-intercept, we can complete our equation.

y=-13/12x-7

4 0
3 years ago
If the area of the rectangle shown is given by the expression 3x2 + 72 - 6and the width is (a + 3), which of the
aleksandr82 [10.1K]

Answer:

3x - 2.

Step-by-step explanation:

The length = area / width.

The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)

so the length =  (3x - 2 )(x + 3 ) / x + 3

= 3x - 2.

4 0
3 years ago
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