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3 years ago

Find the values of x and y that make k|ljand m || n. x= y =

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

Answer:

X=80

Y=130

Step-by-step explanation:

sana makatulong

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Provide me three coordinate points for the following, given the Slope and Y-intercept. 5. Slope = 7/9, Y intercept = 12(give me

madam [21]

Since we have that the slope is m = 7/9 and the y-intercept is b = 12, we can write the equation of the line in slope-intercept form:

$\begin{gathered} y=mx+b \\ \Rightarrow y=\frac{7}{9}x+12 \end{gathered}$

to find three coordinate points, we can use arbitrary values on x to get the y-coordinate. To make things easier, let's use x = 9, 18 and 27:

$\begin{gathered} x=9 \\ \Rightarrow y=\frac{7}{9}(9)+12=7+12=19 \\ x=18 \\ \Rightarrow y=\frac{7}{9}(18)+12=7(2)+12=14+12=26 \\ x=27 \\ \Rightarrow y=\frac{7}{9}(27)+12=7(3)+12=21+12=33 \end{gathered}$

therefore, the line with slope m = 7/9 and y-intercept 12 passes through the three points (9,19), (18,26) and (27,33)

8 0

1 year ago

6 16x + 5y = -2 4x - y=-2

Grace [21]

Answer:

x=2/9,y=26/9

Step-by-step explanation:

This is a simultaneous equation

16x+5y=-2..(1)

4x-y=-2...(2)

From (2) make y the subject of formula

y=4x+2..(3)

Substitute (3) into (1)

16x+5(4x+2)=-2

16x+20x+10=-2

36x-10=-2

Add 10 to both sides

36x=8

Divide both sides by 36

x=8/36

Divide both denominator and numerator by 4

x=2/9

Substitute the value x into (3)

y=4(2/9)+2

y=8/9+2

Let the LCM be 9

y=8+18/9

y=26/9

Therefore x=2/9,y=26/9

5 0

2 years ago

A recipe uses 1 cup of sugar to make 6 cookies. If you want to make 30 cookies, how much sugar will you need? Use cups as your l

sergij07 [2.7K]

Answer:

the answer is 5 cups

Step-by-step explanation:

let x rep a cup of sugar

and y rep a cookie

and k be constant

x/kx=6y/30y

k=5

8 0

2 years ago

Type the correct answer in the box

algol13

c = cost of food/med for cats

d = cost of food/med for dog

y = total cost/spent

What you know:

y = 6c + d [has 6 cats and 1 dog]

c = 2/3d - 5 [cost for cat is 5 less than 2/3 cost for dog]

y = $195

y = 6c + d

Substitute/plug in what you know, plug in (2/3d - 5) for c and 195 for y

195 = 6(2/3d - 5) + d Distribute/multiply 6 into (2/3d - 5)

195 = 4d - 30 + d Combine like terms

195 = 5d - 30 Add 30 on both sides of the equation

225 = 5d Divide 5 on both sides

$45 = d

5 0

3 years ago

3. An exclusive clothing boutique triples the price of the items it purchases

Juli2301 [7.4K]

Answer:

a) MARKUP PERCENT = 200%

b) If the cost price of clothing A = $10

then its retail price = $30

If the cost price of clothing B = $25

then its retail price = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now, boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value = 3 a

a) MARK UP Percentage = $(\frac{\textrm{SP - CP}}{CP}) \times 100$

$\implies \% = (\frac{3a-a}{a} ) \times 100 = 200 \%$

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

If the cost price of clothing A = $10

then its retail price = 200% of 10 + 10 = 20 + 10 = $30

If the cost price of clothing B = $25

then its retail price = 200% of 25 + 25 = 50 + 25 = $75

7 0

3 years ago