It takes 5 quarts of water with 12 lemons to make lemonade. How many lemons would you need for
15 quarts of water?

Answer:

Let's define the variables:

S = # of sweet pepper seeds in the mix pack.

H = # of hot pepper seeds in the mix pack.

Let's suppose that $3.30 is the mean price of the seeds in the mix pack.

Then we have two equations:

S + H = 16.

(S*$2.85 + H*$4.29)/16 = $3.30

Now let's solve this system.

The first step is isolating one variable in one of the equations, i will isolate S in the first equation.

S = 16 - H.

Now we can replace this in the second equation, and solve it for H.

( (16 - H)*$2.85 + H*$4.29)/16 = $3.30

( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80

$45.60 + H*$1.44 = $52.80

H*$1.44 = $52.80 - $45.60 = $7.20

H = $7.20/$1.44 = 5

Then in the mix pack there are 5 hot-pepper seeds.

And the other 11 must be sweet-pepper seeds

Algebraic equations are equations that contain unknown variables.

The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

Let's represent:is

The number of packets of sweet-pepper seeds = s

The number of packets of hot-pepper seeds = h

Based on this question, our system of equations are:

$2.85 x s + $4.29 x h = $3.30(16)

2.85s + 4.29h = 52.8...........Equation 1

s + h = 16...........Equation 2

s = 16 - h

We substitute 16 - h for s in Equation 1

2.85(16 - h) + 4.29h = 52.8

45.6 -2.85h + 4.29h = 52.8

Subtract 45.6 from both sides

45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6

1.44h = 7.2

h = 5

There are 5 hot-pepper seeds in the assortment.

Solving for the number of sweet-pepper seeds.

s = 16 - h

s = 16 - 5

s = 11

There are 11 sweet-pepper seeds in the assortment.

Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

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Answer:

p = 1

Step-by-step explanation:

10p + 5 = 18p - 6/2

(given)

______________

10p + 5 = 18p - 6/2

+6/2 +6/2

(addition property of equality)

_______________________

10p + 8 = 18p

-10p -10p

(subtraction property of equality

_________________________

8 = 8p

÷8 ÷8

(division property of equality)

______________________

1 = p

(symmetric property of equality)

___

p = 1

Answer:

57°

Step-by-step explanation:

The ladder will be the hypotenuse while the 4.2 meters will be a leg.

We want the angle between the ground & the ladder. Therefore, 4.2 is on the opposite side of the angle.

sin(theta) = opposite/hypotenuse

sin(theta) = 4.2/5

theta = arcsin(4.2/5)

theta = 57°

Answer:

x=110

Step-by-step explanation:

-.5x+12.5=-x+18

add x to -x to move it

then add 1x to -.5x to get .5

soo.....

.5x+25.5=18

the subtract 12.5 from both sides to get

.5x=5.5

then divide .5 from both sides to get

x=110

Answer:

5.5 7

Step-by-step explanation:

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:

[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]

Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].

[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.

[tex]y = \frac{1}{3}x + 4\\[/tex]

Answer:

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

Answer:

3.25

Step-by-step explanation:

I plugged in 5 for x and got 3.25 when I solved

Answer:-7 I think

Step-by-step explanation:

Answer:

0.753

Step-by-step explanation:

do 753/1000 and do the long division

Distance formula: d = st

d = 15 * 300

d = 4,500m

So they will travel 4,500m! Have a nice day and mark brainliest if possible :)

[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]

[tex]4500 \: m[/tex]

Step-by-step explanation:

[tex]d = s \times t[/tex]

[tex]s = 15[/tex]

[tex]t = 300[/tex]

[tex]d = 15 \times 300[/tex]

[tex]d = 4500[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Answer:

-4+-6=-10

Step-by-step explanation:

Answer:

pet for sale

Step-by-step explanation:

soory pls mark me brainbelela

Answer: The answer is 63

Step-by-step explanation:

I’m sorry I don’t know how to explain but I got it right

Answer:

63

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

Answer:

Sometimes

Step-by-step explanation:

Answer: 18 brainiest plz

Step-by-step explanation:

First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18  

Then 9,18 so 18 days

Answer:

18

Step-by-step explanation:

Here,

g (x) = -3x + 1

then ,

g(10) = -3 (10) + 1

= -30 +1

= - 29

Again,

g(-6) = -3 (-6) + 1

= 18 + 1

= 19

Complected *******

Thank me later.

Answer:

.25 cents

Step-by-step explanation:

Sandwich = x

cookie = x-5

x + (x-5) = 5.50

x + x -5 = 5.50

2x = 10.50

sandwich=$5.25

cookie = (5.25) - 5

cookie = $.25

Answer:

All they are doing is finding what a 20% drop would be. You do that by multiplying the value by .8 which gives you the total accounting for a 20% drop.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

2 is thousands so 7 must be ten thousand

Answer:

poop i forgot my ramen noodles are in the microwave

Step-by-step explanation:

Answer:

1/2 pound

90 ounces

11

Remaining 2 ounces

Step-by-step explanation:

Beef filet = 5 5/8 pounds

Slices of fillet = 8 ounces

A. how many pounds is each steak. write your answer as a fraction in simplest form.

1 pound = 16 ounces

Pounds of each steak = ounces per steak / ounces per pound

= 8 ounces / 16 ounces

= 1/2 pound

B. how many 8 ounce steaks can the chef create from the fillet? How many ounces of beef are left over

Beef filet = 5 5/8 pounds

= 45 / 8 pounds

Convert to ounces

= 90 ounces

Number of 8 ounces the chef can create = 90 ounces / 8 ounces

= 11.25

= 11

Remaining 2 ounces of beef

Answer:

Step-by-step explanation:

The above two expressions can be used to find the percentage of mark-up for the phone.

The first expression for instance will give;

[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]

= 85%

The second expression will give;

[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]

= 85%

Both of them will show that an 85% mark-up has been added to the cost of the phone.

Answer:

The length is four less than three times the width.

x = 5 cm.

The width of rectangle is 5 cm.

Thus the length of rectangle 3x - 4 = 3 × 5 - 4 = 15 - 4 = 11 cm

Step-by-step explanation:

HOPE IT HELPS

Answer:

0

Step-by-step explanation:

Order of operation:

P-parenthesis

E-exponents

M-multiplication

D-division

A-addition

S-subtraction

Follow this order of operation in order.

If there are parenthesis when solving an equation, do the parenthesis first, if there are exponents and multiplication, do exponents before you do multiplication.

14 + 5(-3) + 1

Multiply 5 * -3

14 + -15 + 1

Add 14 + (-15)

-1 + 1

Add -1 + 1

0

Hope this helps and pls do mark me brainliest:)

Answer:

0

I hope this helps!

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

3x+2=2(x+4)

3x+2=2x+8

3x=2x+6

X=6