does 5x-3y=-7
10x-6y=-14 have one solution or one solution or infinity solutions

The time is 3 years that needed for $600 to accumulate $72 in simple interest at a rate of 4%.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest,

then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

To calculate;

4% of 600 is 24.

We have;

72/24=3

3 years, months, weeks, etc.

The time is 3 years that needed for $600 to accumulate $72 in simple interest at a rate of 4%.

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The interest rate is calculated using the formula I = PRT. By rearranging the formula to solve for R and substituting the given values, we find that the interest rate is 6%.

To find the interest rate of a simple interest loan, we can use the simple interest formula: I = PRT, where I is the interest earned, P is the principal amount, R is the interest rate, and T is the time in years. In this question, the student wants to know the interest rate when the simple interest on $6,000 for 9 years is $3,240. From the given information, P = $6,000, I = $3,240, and T = 9 years.

First, we rearrange the simple interest formula to solve for the rate (R): R = I / (PT). Substituting the given values,  we get R = $3,240 / ($6,000 × 9). After performing the calculations, we arrive at R = 0.06 or 6%. Thus, the interest rate is 6%.

Answer:

309 feet

Step-by-step explanation:

given that the height can be represented by a quadratic equation, we can say that the general form of the equation will look something like this:

h(x) = Ax² + Bx + C

we know that at the starting point of the launch that time = 0 (i.e x = 0) and hence h (x) = 0, if we substitute this into our equation, we can find the value for C

h(0) = A(0)² + B(0) + C = 0

C = 0

Hence the equation becomes

h(x) = Ax² + Bx

Given when x = 1, h(1) = 121,

121 = A(1)² + B(1)

A + B = 121 ------> eq 1

Given when x = 2, h(2) = 224,

224 = A(2)² + B(2)

4A + 2B = 224 (divide both sides by 2)

2A + B = 112------> eq 2

Solving the system of equations which comprise eq 1 and eq 2 using your favorite method, we end up with A = -9 and B = 130

our equation becomes:

h(x) = -9x² + 130x

when x = 3

h(3) = -9(3)² + 130(3) = 309 feet

Answer:

x = -6

Step-by-step explanation:

The solution means to solve for x. To solve for "x", isolate the variable. This means to separate it from everything else. Do this using reverse operations in reverse BEDMAS order.

2/3 x + 5 = 1​

2/3 x + 5 - 5 = 1​ - 5    Subtract 5 from both sides

2/3 x = -4

(2/3 x) / (2/3) = (-4) / (2/3)     Divide both sides by 2/3

x = (-4) / (2/3)

x = -6    Solution

Answer:

-6

Step-by-step explanation:

Answer:

The number of pennies are 6 and number of nickels are 8.

Step-by-step explanation:

Given:

Serenity has $0.46 worth of pennies and nickels.

She has a total of 14 pennies and nickels altogether.

Now, to find the number of pennies and the number of nickels she has.

Let the number of pennies be [tex]x[/tex].

And the number of nickels be [tex]y[/tex].

So, the number of pennies and nickels altogether are:

[tex]x+y=14.[/tex]

[tex]x=14-y.[/tex]........( 1 )

As given total worth = $0.46.

And the value of a penny is $0.01 and the value of a nickel is $0.05.

Now, the total worth of pennies and nickels:

[tex]0.01x+0.05y=0.46[/tex]

Putting the value of equation ( 1 ) in the place of [tex]x[/tex].

[tex]0.01(14-y)+0.05y=0.46[/tex]

[tex]0.14-001y+0.05y=0.46[/tex]

[tex]0.14+0.04y=0.46[/tex]

Subtracting both sides by 0.14 we get:

[tex]0.04y=0.32[/tex]

Dividing both sides by 0.04 we get:

[tex]y = 8.[/tex]

So, the number of nickels = 8.

Now, putting the value of [tex]y[/tex] in equation ( 1 ) we get:

[tex]x=14-8[/tex]

[tex]x=6.[/tex]

Thus, the number of pennies = 6.

Therefore, the number of pennies are 6 and number of nickels are 8.

Answer: .875

Step-by-step explanation: To write 7/8 as a decimal, it's important to understand that 7/8 means the same thing as 7 divided by 8 so we need to treat this as a division problem.

The first thing you want to ask yourself is how many times does 8 go into 7. Well, 8 doesn't go into 7 so we need to add a decimal point and then a 0 and then ask yourself how many times does 8 go into 70 which is 8 times. So we put an 8 above the 0 and 8 x 8 is 64 so we have 70 - 64 which is 6.

Now, we are not done yet because we still have a remainder. Now ask yourself how many times does 8 go into 6. Since 8 doesn't go into 6, we add another 0 and bring it down and we can now ask ourselves how many times does 8 go into 60 which is 7 times. 7 x 8 is 56 and we subtract it from 60 to get a difference of 4.

We still don't have a remainder of 0 so we continue this process. 8 doesn't go into 4 but it does go into 40 5 times. 5 x 8 is 40 and 40 - 40 is 0. Now we have a remainder of 0 and we know that 7/8 is equivalent to .875.

This would be an example of a terminating decimal because it eventually ends.

Answer:

0.64 ounces

Step-by-step explanation:

64 ounces in total ÷ 100 equal sized cupcakes

Hope my explanation helped

Answer: The answer is 0.64 ounces

Step-by-step explanation:

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slope = difference in y/difference in x

Substitute the values in:

slope = (4-2)/(5--3)

Simplify:

2/8

Simplify to give the answer:

slope = 1/4

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Answer:

Step-by-step explanation:

(-3,2)  ;  (5,4)  

Slope m = y₂ - y₁ / x₂ - x₁

m = 4 - 2 / 5 - (-3)

 = 2 / 5+3

= 2/8

=1/4

In 5 hours Maria will charge $37.5

The complete table

x   y

2  15

4  30

6  45

8  60

10  75

12  90

The equation is Charge (y) = time (x) * 15/2

How to find the amount

If Maria charges $15 for every 2 hours that she babysits. In 5 hours her charge will be

= 5 * 15 / 2

= $37.5

For x = 4, y = 4 * 15/2 = $30

For x = 6, y = 6 * 15/2 = $45

For x = 8, y = 8 * 15/2 = $60

For x = 10, y = 10 * 15/2 = $75

For x = 12, y = 12 * 15/2 = $90

The equation is found to be

Charge (y) = time (x) * 15/2

Answer:

C. 594 > -11n

Step-by-step explanation:

i took the test on edgen

3X-2

=216-2

= 214

214 is the answer...

Answer:

hi there!

the correct answer is:  one hour and 4 mins

Step-by-step explanation:

well first of all you want to convert 7 3/5 hours to minutes which you will get 456 minutes

then you want to subtract 72 mins (30+42) from 456 and you get 384

then since there are 6 classes a day, you will divide 384 by 6 to get 64 so each class is one hour and 4 mins

Answer:

1 1/15 hours each class

Step-by-step explanation :

I'm pretty sure this is the answer and here is why :

7 3/5 = 456 in minutes

30  + 42 = 72

384 divided by 60 = 6.4

and

6.4 divided 6 = 1. 066666667 so the answer choices :

1 1/15 hr - 1 3/20 - 1 11/60 - 1 4/15

There would only be one correct answer and it is 1 1/15 here's why :

We get that the one stands for hours but 1 divided by 15 equals = 0.066666667 and it matches our answer from before.

Answer:

x = -6; y = 2 is the solution of the given system of equations.

Step-by-step explanation:

The given equations are :

y = 5x + 32        .......(1)

y = -4x - 22        .......(2)

Substituting the value of 'y' from equation (1) in equation (2), we get

   5x + 32 = -4x - 22

⇒5x + 4x = -22 - 32

⇒9x = -54

⇒x = (-54) ÷ 9

⇒x = -6

Put x = -6 in equation (1), we get

y = 5 × (-6) + 32 = -30 + 32 = 2

So, x = -6; y = 2 is the solution of the given system of equations.

Answer:

Step-by-step explanation:

y = 5x + 32

y = -4x - 22

u can solve this by substitution......u can start with either equation....i will start with the first one....y = 5x + 32.....so sub in 5x + 32 in for y, back into the second equation.

y = -4x - 22

5x + 32 = -4x - 22....add 4x to both sides

5x + 4x + 32 = -22 ....subtract 32 from both sides

5x + 4x = -22 - 32 ....combine like terms

9x = - 54 ....divide by 9

x = -54/9

x = -6

now we sub -6 in for x in either of the original equations to find y

y = 5x + 32

y = 5(-6) + 32

y = -30 + 32

y = 2

lets check it..  (-6,2)

y = 5x + 32                                y = - 4x - 22

2 = 5(-6) + 32                            2 =  -4(-6) - 22                  

2 = -30 + 32                               2 = 24 - 22

2 = 2 (correct)                            2 = 2 (correct)

yep, ur solution is : x = -6 and y = 2......or (-6,2)

Answer:

Part 1) The slant height of the pyramid is [tex]2.80\ ft[/tex]

Part 2) The length of the third side of the window is [tex]20.78\ in[/tex]

Part 3) The building's slant height is [tex]53.85\ ft[/tex]

Step-by-step explanation:

Part 1) we know that

To find out the slant height of the pyramid, apply the Pythagorean Theorem

Let

l ----> the slant height of the pyramid

h ---> the height of the pyramid

b ---> the length side of the square base

[tex]l^2=h^2+(b/2)^2[/tex]

we have

[tex]h=2.5\ ft\\b=2.5\ ft[/tex]

substitute the given values

[tex]l^2=2.5^2+(2.5/2)^2[/tex]

[tex]l^2=2.5^2+(1.25)^2[/tex]

[tex]l^2=7.8125[/tex]

[tex]l=2.80\ ft[/tex]

Part 2) Let

c ----> the hypotenuse of a right triangle (the greater side)

a ---> the measure of one leg of the right triangle

b ---> the measure of the other leg of the right triangle

Applying the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

we have

[tex]c=24\ in\\a=12\ in[/tex]

substitute the given values and solve for b

[tex]24^2=12^2+b^2[/tex]

[tex]b^2=24^2-12^2[/tex]

[tex]b^2=432[/tex]

[tex]b=20.78\ in[/tex]

Part 3) Let

l ----> the building's slant height

h ---> the height of the building

r ---> the radius of the base of the building

Applying the Pythagorean Theorem

[tex]l^2=h^2+r^2[/tex]

we have

[tex]h=50\ ft\\r=20\ ft[/tex]

substitute the given values

[tex]l^2=50^2+20^2[/tex]

[tex]l^2=2,900[/tex]

[tex]l=53.85\ ft[/tex]

Answer:

A

Step-by-step explanation:

Rate of change for x is constant:

1-0 = 1

2-1 = 1

3-2 = 1

it's all the same so it's constant.

Ratio of y is not constant:

12/8 ≠ 24/12 ≠ 52/24

I'm guessing it's A. Previous answer was my bad

Answer: Choice A) No. All of the x values have a constant difference, but the y values do not have a constant ratio.

Explanation:

The x values increase by 1 each time. So the constant difference is 1. We can see this by subtracting adjacent values such as 4-3 = 1 or 5-4 = 1 and so on.

The y values do not have the same constant ratio. Divide each y term by its previous value

12/8 = 1.5

24/12 = 2 ... we can stop here but I'll keep going to list all the ratios

52/24 = 2.167 approximately

We get different results each time we divide the y values. So this shows we do not have an exponential function.

Answer:

1. 0.90m + 3 > 0.60m + 4; 2. 4.50v + 8.50 < 6.00v  

Step-by-step explanation:

1. Taxis

  Let A = cost of Taxi A

 and B = cost of Taxi B

Then A = 0.60m + 4

 and B = 0.90m +3

If B > A, then

0.90m + 3 > 0.60m + 4

2. Video games

  Let A = monthly cost at Store A

 and B = monthly cost at Store B

Then A = 4.50v + 8.50

  and B = 6.00v

If A < B, then

4.50v + 8.50 < 6.00v

Answer:

It would take the race car 10 seconds to go around the track one time.

Step-by-step explanation:

3/4 minutes = 45 seconds

This means 4 1/2 laps of the track is 45 seconds

4 1/2 = 45

Divide both sides by 4 1/2 to find the length of time to complete 1 lap

1 time around the track = 10 seconds

Answer:

1/6

Step-by-step explanation:

3/4 divided by 4 1/2 = 1/6

The part of Charlie's family with blue eyes is represented by the decimal 0.4, calculated by dividing the number of people with blue eyes (2) by the total number of family members (5).

To represent the part of Charlie's family that has blue eyes using a decimal, we need to divide the number of people with blue eyes by the total number of people in the family.

There are two people with blue eyes and three with brown eyes, making a total of five people in the family.

Therefore, the fraction of the family that has blue eyes is

[tex]\frac{2}{5} = 0.4[/tex]

The decimal form of 2/5 is 0.4. So, the answer is A. 0.4.

Answer:

The weight of the turtles together is [tex]500\ pounds[/tex]

Step-by-step explanation:

we know that

To find out the weight of the 2 sea turtles together, adds the weight of one turtle plus the weight of the other turtle and then round to the nearest hundred

step 1

Adds the weight of the two turtles

[tex]264+186=450\ pounds[/tex]

step 2

Round to the nearest hundred

Remember that

To Round a number

a) Decide which is the last digit to keep  

b) Leave it the same if the next digit is less than [tex]5[/tex] (this is called rounding down)  

c) But increase it by  [tex]1[/tex] if the next digit is  [tex]5[/tex] or more (this is called rounding up)

In this problem we have

[tex]450[/tex]

We want to keep the digit [tex]4[/tex]

The next digit is [tex]5[/tex] which is 5 or more, so increase the "4" by 1 to "5"

therefore

The weight of the turtles together round to the nearest hundred is [tex]500\ pounds[/tex]

Answer:

the cost of running the boarding

house for 600 students is N61,000

Step-by-step explanation:

Let C represents cost

K1 represents first constant

K2 represents second constant

C= k1+k2n

3500 = k1 + 25 k2............. Eqn(1)

6000= k1 + 50 k2 .............. Eqn(2)

Subtract eqn(1) from eqn(2)

2500= 25k2

K2= 2500/25

K2= 100

To get k1 from eqn(1)

3500 = k1 + 25 k2

Substitute the value of k2

3500 = k1 + 25 (100)

3500= k1 +2500

K1= 3500- 2500

K1= 1000

The equation connecting them;

C= 1000+ 100n

The cost of running the boarding

house for 600 students is

n= 600

C= 1000+ 100(600)

C= 1000+60000

C= N 61,0000

Answer:

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

[tex]x=-2[/tex]

adds 2 both sides

[tex]x+2=-2+2\\x+2=0[/tex]

therefore

The factor is (x+2)

Answer:

the answer is C

X+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Depends on how many problems his quiz contains and how many problems he answered correctly.

Answer:

There are 6

Step-by-step explanation:

X * 1/8 = 3/4

X = (3/4) * 8

X = 6

Answer:

  (a) {-3, 2}

  (b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

_____

Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a set of values.

The best answers to your questions are :

From the graph attached the high points that can be seen on the graph are ;  (-3,3) and (2, 4).

therefore the x-values at which the function f will have a local maximum will be  ( -3, 2) while  All local maximum values will be ( 3, 4 )

The Local maximum point on the graph of a function is a point (x,y) where the value of y ( y coordinate ) has the highest value when compared with the value of other y-coordinates.

Hence ; All values at which f has a local maximum = ( 3,2 ) while All local maximum values of f = ( 3,4 )

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the ratio a:b is 3/5.

To find the ratio a:b in the equation 5a + 3b = 6b, we need to isolate a and b. We start by subtracting 3b from both sides of the equation:

5a + 3b - 3b = 6b - 3b

This simplifies to:

5a = 3b

Next, we can divide both sides of the equation by 3 to solve for a in terms of b:

5a/3 = 3b/3

This simplifies to:

a = (3/5)b

Therefore, the ratio a:b is 3/5.

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The ratio of a to b is 3:5.

To find the ratio a:b from the equation 5a+3b=6b, we can simplify the equation and then express one variable in terms of the other.

Starting with the given equation:

5a+3b=6b

Subtract 3b from both sides of the equation:

5a=3b

Now, divide both sides by 5 to isolate a:

So, the ratio of a to b is 3:5.

Answer:

this is the correct ans

Good evening ,

Answer:

25 matches

Step-by-step explanation:

it’s clear that we are in proportionality situation:

10 —————->40%

x  —————>100%

then  x = (10×100)÷40 = 25.

:)

$ 159,744.59 will be in the account after 20 years.

Answer: Option A

Step-by-step explanation:

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          [tex]\text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)[/tex]

Here  

p : amount deposit monthly =$500

r : rate of interest  = [tex]\frac{2.75}{100}[/tex] = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    [tex]\text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)[/tex]

    [tex]\text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)[/tex]

   [tex]\text { Future value }=500 \times\left(\frac{0.732}{0.002291}\right)=500 \times 319.511=\$ 159,744.99[/tex]

Answer:

  x = 1

Step-by-step explanation:

To find a solution to this by graphing, you would typically make a graph of the expression on the left, and another graph of the expression on the right. Where they intersect is the solution.

You would graph ...

You're only interested in the x-value where these lines cross, x=1.

_____

Alternate method

Graph the difference of the left side and the right side:

  y = (2x) -(-x +3)

and look for the value of x that makes y = 0. This, too, gives the solution x=1.

__

Of course, once you have the equation ...

  0 = 3x -3

the solution is pretty obvious. (Divide by 3 to make it more obvious.)

Answer:

A table

Step-by-step explanation:

A table has four legs ( supports) but cannot possibly walk because it is not a living thing. For example, see the table in the attachment, it has four legs (supports) but cannot possibly walk.

Answer:

Table

Step-by-step explanation: