Task 6: Here are three systems of equations graphed on a coordinate plane:

(y=3x+5
(y=-2x+20

(y=2x-10
(y=4x-1

(y=0.5x+12
(y=2x+27

Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

y = 25% of 4.2

y = 0.25 • 4.2

y = 1.05

This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

d = 4.2 - 1.05

d = 3.15

The river is 3.15 feet deep.

Hope this helps!

Answer:

To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.

For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.

Likewise for the other question it would be 270/15.

Step-by-step explanation:

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Answer:

(2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 1 → (1)

4x + y = 3 → (2)

Substitute y = - 3x + 1 into (2)

4x - 3x + 1 = 3

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = - 3(2) + 1 = - 6 + 1 = - 5

solution is (2, - 5 )

Answer:

no

Step-by-step explanation:

to be proportional, every step of 1 in the upper row, must equal an equal step in the lower row.

from 1 to 2: +15

from 2 to 3: +18

not the same so not proportional

Answer:

$51.513

Step-by-step explanation:

First you covert 18% to decimal→0.18

Then you multiply 0.18 by 45.35→ 8.163

Finally you add 45.35 to 8.163 to get, 51.513

Answer:

1 stamp will cost $0.49.

Step-by-step explanation:

20/9.8=1/x

cross product

20*x=9.8*1

20x=9.8

x=9.8/20

Answer:

300°

Step-by-step explanation:

Subtract 360° from 1020° and repeat until angle is in required range

1020° - 360° = 660°, then

660° - 360° = 300°

300° is coterminal with 1020°

An angle between 0° and 360° that is coterminal with 1020° is 300°.

Coterminal angles are defined as the angles which has the same terminal side with the initial side on the positive side of X axis.

We have to find an angle between ° and 360° that is coterminal with 1020°.

Subtract 360° from the given angle until the angle obtained is between 0° and 360°.

1020 - 360 = 660

660 - 360 = 300

So 300° is a coterminal angle with 1020.

Hence the coterminal angle is 300°.

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Answer:

the answer is 1.88 using cosine =adj/hyp

Answer:

108 degrees inside each corner

Step-by-step explanation:

360/5=72

180-72=108

Answer:

I meant an example for a problem like the one you posted.

Either way, I'll try to help.

in the example, you're finding out what percentage of 352 is 226.6.

So divide 226.6 (The number that you're using to find what percentage it is of 352) by 352( the number you're finding the percentage of.)

226.6/352= 0.64375, and multiply the quotient by 100 to get 64.375. You're rounding up by the nearest hundredth, so the 7 turns to 8. (5 or more means rounding up.)

your final answer for the example is 64.38%. So Try that with your next problem.

For the one you're working on, divide 110.9 by 100 and then multiply it by 419.

You'll get 464.671.

Answer:

D)   x = 2  and  y = 4  or  (2, 4)

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}3x+y=10\\-4x+2y=0\end{cases}[/tex]

Multiply Equation 1 by -2:

[tex]\implies -6x-2y=-20[/tex]

Add this to Equation 2 and solve for x:

[tex]\implies (-4x+(-6x))+(2y-2y)=(0+(-20))[/tex]

[tex]\implies -10x=-20[/tex]

[tex]\implies x=2[/tex]

Substitute the found value of x into Equation 1 and solve for y:

[tex]\implies 3(2)+y=10[/tex]

[tex]\implies 6+y=10[/tex]

[tex]\implies y=10-6[/tex]

[tex]\implies y=4[/tex]

Therefore, the pair on numbers (x, y) that satisfies both equations is (2, 4)

(2,4)

Let's verify

#1

Verified

#2

Verified

Answer:

20

...........

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Im sorry i do not have the answer but this is the image for who ever that can help

Answer:

point a are (-10,-4) and point I are (-3.875,-10.125)

Step-by-step explanation:

Answer:

-6/16

Step-by-step explanation:

Just multiply the top and bottom by 2.

Answer:

(-3/8)

Step-by-step explanation:

Answer:

$155.71

Step-by-step explanation:

Sales Geet sells televisions. He earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Geet sells 17 televisions with extended​ warranties, he earns $1,105. How much is the fixed amount Geet earns for each​ television?

Let the fixed amount Geet earns for each television = x

Hence:

$1105 = $15 + 7x

Collect like terms

$1105 - $15 = 7x

$1090 = 7x

x = $1090/7

x = $155.71428571

Approximately = $155.71

Therefore, the amount he earns for each Television = $155.71

Answer:

Your answer would be B: $25.20

24 x 5% is 1.2

$24 + 1.2 is 25.2

Step-by-step explanation:

Answer:

the answer is B 25.20

Step-by-step explanation:

multiply 24 by 0.05 then add that to w4

Answer:

The answer is 5/8 inch. :)

Answer:

1 inch would be 5/8 inch longer than 3/8 inch. :)

Step-by-step explanation:

Answer:

0 = 2

2 = 2.5

4= 3

6 = 3.5

8 = 4

10 = 4.5

Answer:

y = 3 + 2x

Step-by-step explanation:

In this scenario, we are given two values which are the initial height of the plant and its growth height. Then we are given a variable which is the number of months (x) that are unknown for us. The growth height needs to be multiplied by the number of months to know how much it has grown in that time period. Then we add this value to the initial height of the plant to calculate the total height (y) of the plant after x number of months. We can apply this information to form the following equation in slope-intercept form.

y = 3 + 2x

Jane gets 5,760.

Commissions are a form of variable-pay remuneration for services rendered or products sold.

Given:

House sold for $160,000 with a listing commission of 6%

So, full commission

=160,000*0.06

= 9, 600

And, jane's share will be

=9600 * 0.60

=5,760

Hence, jane's share will be 5,760.

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Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.

-----------------------------------------

Here's how we can find the line of reflection.

Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A

Repeat this process to form a segment from S to S'. Mark the midpoint as point B.

The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.

Refer to the diagram below.

Answer:

10 over 100 multiply by Rs 50000 over 1

.: cut 2 zeros ( 0 ) from 100 and cut 2 ( zeros ) from Rs 50000

.: 10 over 1 by Rs 500 over 1

.: 10 multiply RS 500 = 5 000

His / her increment = RS 5 000

Answer:

yikes they're accounts  got deleted✋

Step-by-step explanation:

Step-by-step explanation:

distance must be given

average speed is distance and time

Answer:

use math- way for those and your other homework i promise it'll work!

Step-by-step explanation:

Answer:

12 feet 11 inches

Step-by-step explanation:

The giraffe is 12 feet 11 inches taller than Jada. Therefore, the correct answer is option C: 12 feet 11 inches.

To find out how much taller the giraffe is than Jada, we need to subtract Jada's height from the giraffe's height.

Jada's height is 3 feet 11 inches, which can be written as 3' 11".

The giraffe's height is 16 feet 10 inches, which can be written as 16' 10".

To perform the subtraction, we need to ensure both measurements are in the same format. We can convert Jada's height to inches:

Jada's height = 3 feet * 12 inches/foot + 11 inches = 36 inches + 11 inches = 47 inches.

Now we can subtract Jada's height from the giraffe's height:

16' 10" - 3' 11" = 16 * 12 + 10 - (3 * 12 + 11) = 192 + 10 - (36 + 11) = 202 - 47 = 155 inches.

Therefore, the giraffe is 155 inches taller than Jada.

To convert this back to feet and inches, we have:

155 inches = 12 feet * 12 inches/foot + 11 inches = 12' 11".

Thus, the giraffe is 12 feet 11 inches taller than Jada. Therefore, the correct answer is option C: 12 feet 11 inches.

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Answer:

it would be 72, and n=120

Answer: no

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Step-by-step explanation:

let f be 2 10 x 2 - 10=10

2 x 8x2-5=22

Answer:

These two expressions are only equivalent when f=-5/6. If f=><-5/6, then the equations are not equivalent.

Step-by-step explanation: