Find the solution of this system of equations:
X - 10y = -59
-4x + 10y = 86
0 (-9,5)
(5,9)
(5,-9)
(9,-5)

Answer

20.1°C

Step-by-step explanation:

-12.6 °C - 7.5 °C =-20.1°C

Answer:

the initial temperature= -12.6⁰c

change in temperature= 7.5⁰c

the final velocity = x

-12.6-7.5=x

-20.1=x

so therefore the final temperature is -20.1

This question is incomplete

Complete Question

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y

represent the number of hours Leah works at the ice cream shop.

Answer:

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

Step-by-step explanation:

Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.

Hence:

x + y ≤ 20 ...... Equation 1

Leah would like to earn at least $120 per month.

She babysits for $5 an hour and works at an ice cream shop for $10 per hour.

Hence, out Equation is given as:

x × $5 + y × $10 = $120

5x + 10y ≥ 120..... Equation 2

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

To find x and y:

x + y = 20

x = 20 - y

5x + 10y = 120

Substitute: 20 - y for x

5(20 - y) + 10y = 120

100 - 5y + 10y = 120

Collect like terms

- 5y + 10y = 120 - 100

5y = 20

y = 20/5

y = 4 hours

Note:

x = 20 - y

x = 20 - 4

x = 16 hours

Hence:

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

Answer:

B. or 10 2/3

Step-by-step explanation: Because if she had only 2 cups left then 1 cup can make 5 drinks so 10 then the rest would be a fraction.

She can make 32/3 of Italian sodas with 2 cups of flavored syrup.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Victoria uses 3/16 cups of flavored syrup to make an Italian soda.

Assume that 3/16th of x is 1.

∴ (3/16)x = 1.

3x/16 = 1.

3x = 16.

x = 16/3,

Now from 2 cups of flavored syrup, we can make 2x of  Italian soda.

Which is (16×2)/3.

= 32/3

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:A) no solutions

Step-by-step explanation:

1) set both problems equal to each other

2) subtract four from each side

3) subtract 2x from each side

4) 10 does not equal 0

Answer:

No solution

Step-by-step explanation:

As soon as you minus the equations from each other, the y's and x's cancel out therefore there is no solution

Answer:

B is the correct chose

Step-by-step explanation:

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

Answer:

$175.80

Step-by-step explanation:

Answer:

175.80$

Step-by-step explanation:

In order to find the answer to this question you must first find 20% of the cost for the dinner, then add that answer to the cost of the dinner to receive your answer.

[tex]146.50[/tex]

[tex]20 =146.50[/tex]

[tex]Y=P\times X[/tex]

[tex]20\times146.50[/tex]

[tex]20\div100=0.2[/tex]

[tex]0.2\times146.50[/tex]

[tex]0.2\times146.50=29.3[/tex]

[tex]=29.3[/tex]

Now add:

[tex]146.50+29.3=175.80[/tex]

[tex]=175.80[/tex]

Hope this helps.

Answer:

The are 21 roses in the bouquet

Step-by-step explanation:

Since the 49 roses are distributed evenly amongst the 7, then what each of the seven will get would be 49/7 = 7 roses

So 3 of the friends combine every of theirs to make a bouquet

The number of roses in the bouquet will be 7 + 7 + 7 = 21 roses

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Use the formula for |A| <= B which is: -B <= A <= B

For this example you would do:

1. Insert the numbers into the formula: -6 <= 2x - 8 <= 6

2. first do the math for -6 <= 2x-8 which is 1 <= x

3. then do the math for 2x - 8 <= 6 which is x <= 7

4. Put that together and you get 1 <= x <= 7

Good luck on the other questions!

Explanation:

Start at a point like (0,2) which is on the blue f(x) line.

Move upward until you reach the red g(x) line. You should move up 3 units. Every point on f(x) follows the same pattern to land on a corresponding point on g(x). Therefore, this moves the entire blue line up 3 units.

This leads to k = 3

So g(x) = f(x) + 3

Answer: 3

Step-by-step explanation: This is because I took the test and because if you look at the graph its on 5 and 2. An easy way to look at it is what is 5-2 but you'd have to figure out what the answer was first. Between 5 and 2 is 3. Hope this helped!

Answer:0

Step-by-step explanation:0x0=0

Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).

Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.

4 1/2 would plotted on the line exactly in between the 4 and 5.

-3 1/2 would be plotted on the line exactly halfway between -3 and -4.

You will draw a dot to show each of these positions on a number line.

Step-by-step explanation:

hope it helps

Answer:

wait do we solve it or is there answer choices??

Answer:

C

Step-by-step explanation:

Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!

Answer:

The answer is 5

shdhejrjejsn when heuejwkwudheje

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

List the multiples of each number:

16:  1, 2 , 4, 8 , 16

40: 1, 2 , 4 , 5, 8, 10, 20, 40

The greatest common multiple is 8

40 guards / 8 = 5

There will be 5 guards on each team.

Answer:

Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]

So it will take 8 seconds for the ball to hit the ground we another value

t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground

Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

[tex]v=-10t+40[/tex]

so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.

[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]

so now we insert the value of t = 4 into the equation of h(t) to get the height.

[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]

so the maximum height of the ball is 80 meters.

Part d

The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.

So the point is actually at the Origin (0 , 0).

Part e

We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as  solved from part A

We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C

Graph attached.

Answer:

if you use a2 plus b2 equals c2

Step-by-step explanation:

40 m

Answer:

you are asking what dont understand

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of a cylinder:

Container A

Container B

After pump out the container A has the level of:

Level % in the container A:

Answer: 111.6 meters

Step-by-step explanation:

Since there are 8 hurdles that are spaced 12.3 meters apart, the number of meters here will be:

= 7 × 12.3 meters

= 86.1 meters

We are further told that there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line.

The length of the race will be:

= 86.1 + 15 + 10.5

= 111.6 meters

Answer:

The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Hope this helps

Answer:

Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents

Step-by-step explanation:

10 + .50 = 10.50

Answer:

5x

Step-by-step explanation:

subtract 4x fromboth sides

4x-10=2x

-4x     -4x

divide both sides by -2

-10=-2x

-10/-2=-2x/-2

5=x

Answer:

Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.

Step-by-step explanation:

This is a system of equations:

C + p = 12

C = 3P

All you need to do is substitute C for 3P in the first equation.

C + P = 12

3P + P = 12

4P = 12

Divide both sides by 4

4P/4 = 12/4

P = 12/4

P = 3

Now, substitute P for 3 in the first equation.

C + P = 12

C + 3 = 12

Subtract 3 from both sides

C + 3 - 3 = 12 - 3

C = 12 - 3

C = 9

C = 9, P = 3

Set up a system of equations in 2 variables.

Answer: y=0.6 I think (try checking with other answers first)

Hope this helps a little and good luck :)

Step-by-step explanation:

Answer:

15 3-gallon buckets of water will fill the cistern

Step-by-step explanation:

Eighteen 2.5- gallon buckets are needed to fill a cistern of water

This means, 2.5 gallon buckets in 18 places

2.5 gallons × 18 = 1 cistern of water

45 gallons = 1 cistern of water

How many 3-gallon buckets of water will fill the cistern.

Number of 3-gallon bucket in a cistern = Total gallons of bucket in one cistern / 3-gallon buckets

= 45 gallons / 3-gallon buckets

= 15

Number of 3-gallon bucket in a cistern = 15

15 3-gallon buckets of water will fill the cistern

Answer:

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

         = 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.