A farmer needs to mix 8 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to make a mix that contains 80 pounds of soil? (Remember- 16 ounces = 1 pound)

Answer:

Y=3x+14

Step-by-step explanation:

For perpendicular lines they have gradients which are recipricol to one another and -ve

E.g 1/3 gradient of perpendicular line is-3

Gradient of the perpendicular line is 3

Y-2/x--4=3

Y-2=3(x+4)

Y-2=3x+12

Y=3x+12+2

Y=3x+14

Answer: parallel

Step-by-step explanation:

Given the following coordinate

(-1,2) (4,4) and (2,-1) (-3,-3)

Two parallel lines will surely have the same slope. While the product of the two perpendicular lines will be equal to negative one.

Let's find the slope of the coordinate.

Slope m can be expressed as

M = (Y2 -Y1)/( X2 - X1)

For coordinate (-1,2) (4,4)

Slope m = ( 4 - 2 ) / (4 + 1)

Slope m = 2/5

For coordinate (2,-1) (-3,-3)

Slope m = ( -3 +1 ) / ( -3 -2 )

Slope m = -2/ -5

Slope m = 2/5

Since the two slope are the same, we can conclude that the two lines are parallel to each other.

Answer:

Step-by-step explanation:

3y+2x=30

3y = 30-2x

y=30/3 - 2/3x

y=10-2/3x

now plug in the options

1) 0,10 and 15,0

y=10-2/3*0 where x is 0 and thus y equals y=10-0 --> y =10

For (15,0), y=10-2/3*15 which becomes y=0 so the (15,0) pair works

Which mean line joining 0,10 and 15,0 fits the equation. Now since we want to stay below the $30, area below it is what will get them to stay within budget

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

You can expect a monthly payment of $9 on this vehicle if the lease factor is 0.00045 and the price of the vehicle is $20,000.

The lease factor is a percentage that represents the annual interest rate on the loan and is usually expressed as a decimal.

monthly payment = price of vehicle × lease factor / 12

The monthly payment on a vehicle is determined by the lease factor and the price of the vehicle.

To find the monthly payment on a vehicle with a lease factor of 0.00045, you will need to know the price of the vehicle.

Let's say the price of the vehicle is $20,000.

To find the monthly payment, we can use the following formula:

monthly payment = price of vehicle × lease factor / 12

Substituting in the given values, we get:

monthly payment = $20,000 × 0.00045 / 12

= $9

Therefore, if the lease factor is 0.00045 and the car costs $20,000, you can expect a monthly payment of $9.

To learn more about the lease factor click here:

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Answer:

v < 33

Step-by-step explanation:

If v has to be less than 33, then writing the inequality < (not less than or equal to: ≤), is the best way to go.

Can you delete mine please thx

Answer:

Lower Quartile = 132

Step-by-step explanation:

Arranging it in ascending Order:

112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200

Lower quartile = [tex](N+1)^{th} Term \frac{1}{4}[/tex]

Where N = 11

Lower Quartile = [tex]\frac{1}{4} (12)^{th} Term[/tex]

Lower Quartile = 3rd Term

So,

Lower Quartile = 132

Answer: 132

Step-by-step explanation:

Step-by-step explanation:

I recommend that you download the symbolab application, it is very good, it helps a lot

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Answer:

2^12

Step-by-step explanation:

16^3 = (2^4)^3 = 2^(4x3) = 2^12

Hope this helps!

Answer:

2¹²

Step-by-step explanation:

= 16³

We'll divide 16 into the product of its prime factors

= ( 2×2×2×2)³

There are four 2s so it becomes 2⁴

= (2⁴)³

= 2⁴ˣ³

= 2¹²

Answer:

A, C, and D

Step-by-step explanation:

By substituting the values of each of the points into the inequality, you can determine that A, C, and D are the correct answers.

Answer:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Step-by-step explanation:

Given

K(1,0)

L(1,4)

M(5,4)

N(5,0)

Scale Factor = 1/4

Dilation with center (0,0)

Required

New coordinates of the quadrilateral

To get the new coordinates, we simply multiply the scale factor with each coordinate;

This is done as follows;

[tex]If\ K =(1,0),\ then;[/tex]

[tex]K' = \frac{1}{4} * (1,0)[/tex]

[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]If\ L =(1,4),\ then[/tex]

[tex]L' = \frac{1}{4} * (1,4)[/tex]

[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]If\ M =(5,4),\ then[/tex]

[tex]M' = \frac{1}{4} * (5,4)[/tex]

[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]If\ N =(5,0),\ then[/tex]

[tex]N' = \frac{1}{4} * (5,0)[/tex]

[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Hence, the coordinates of the dilated figure are:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6

Answer:

(40, 20)

Step-by-step explanation:

first substitute 2x for y in y = x + 20: 2x = x + 20

flip the equation: x + 20 = 2x

subtract 20 from both sides: x + 20 - 20 = 2x - 20

simplify: x = 2x - 20

subtract 2x from both sides: x - 2x = 2x - 2x - 20

simplify: -x = -20

divide both sides by -1: -x/-1 = -20/-1

simplify: x = 20

substitute 20 for x in y = 2x or y = x + 20: y = 20 * 2 or y = 20 + 20

x = 20 y = 40

(40, 20)

Answer:

(20,40)

Step-by-step explanation:

First one: y=2x

y=40

x=20

40=2(20)

40=40 true

Second one:  y=x+20

y=40

x=20

40=20+20

40=40 true

therefore the answer is (20,40)

Answer:

so 23.5+24.3+33.8=81.6

Step-by-step explanation:

81.6

Answer:

Fracton: 7/10

Decimal: 0.7

Percent: 70%

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER

Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

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Answer: 1 hour

Step-by-step explanation:

Let distance1 = x km

Distance2 = 144 - x

Speed S1 = 63 kph

Speed S2 = 81 kph

Time = Distance / Speed

When the jets pass each other

(144-x) / 81 = x/63

63(144-x) = 81x

9072 - 63x = 81x

x = 9072 / 144

x = 63 km

Time = 63/63 = 1 hour

Answer:

1 hr

Step-by-step explanation:

Answer:

r=12.7323

Step-by-step explanation:

We find out the arc length formula when multiplying this equation by Θ:

Θ=45 degrees=π/4

L = r * Θ

r=L/Θ=10/π/4=40/π=12.7323

this answer is for sector(part of a circle)

Answer:

c. (3, [tex]\frac{7\pi }{6}[/tex] )

Step-by-step explanation:

In order to do this, you must solve using the answer choices, not by solving it yourself. This is because you can generate many answers from the graph itself so it is best to look for which answer choices you can eliminate. In this answer choice, there are no negatives, therefore, you don't have to convert by reflecting across the pole or polar axis, making this question easy. Polar coordinates are represented as so: (r, θ) with r representing the radius and theta representing the angle. The distance of z from the middle point is 3 units, so the radius is 3. If you look at the unit circle, [tex]\frac{7\pi }{6}[/tex] resides in the same quadrant where z is at the moment, so you don't have to do any converting there. Therefore, this is your answer.

Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)

Answer:

56/33

Step-by-step explanation:

8/11 * 7/3

Multiply the numerator

8*7 = 56

Multiply the denominator

11*3 = 33

Put the numerator over the denominator

56/33

Answer:

56/33

Step-by-step explanation:

[tex]\frac{8}{11} *\frac{7}{3}[/tex]   Original equation

[tex]\frac{8*7}{11*3}[/tex]

[tex]\frac{56}{33}[/tex]   Simplify

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

Surface area of extended pyramid:

The difference is:

Answer:

The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Step-by-step explanation:

The equation can be rearranged to get:

-7-8f=-47

Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Answer:

Step-by-step explanation: negative eight f minus seven equals negative fourty-seven .  answer: 5

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.