After earning interest, the balance of an account is $420. The new balance is 7/6 of the original balance.

Write an equation that can be used to find the original balance b of the account.

420=____

What was the original balance of the account?

$__

How much interest did the account earn?

$__

Answer:

negative

Step-by-step explanation:

right-to-left is positive

left-to-right is negative

Answer:

Negative slope.

Step-by-step explanation:

When you try to determine the type of slope a graph shows, the direction of the line is really important. When a slope is positive, the line goes up in the right direction like this /. When a slope is negative, the line goes down to the right like this \. Undefined is when the line goes straight up and down and 0 is when the graph is straight across like this -. Therefore the graph is negative. Hope this helps :)

Answer:Daniel is faster

Step-by-step explanation:

Daniel : 5 kilometers is 5000 meters.

5000 / 40 is 125 meters per minutes

Andy: 4550 divided by 37 is 122.97 which is 2.3 meters per minute slower than Daniel

Answer:

simplified = 8x - 8

Step-by-step explanation:

trust me :)

Answer: 2 2/3 (two and two thirds)

Each person get 6 2/3 fraction of a whole sub.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Number  of people = 8

Number of sub sandwiches = 3

So, fraction of a whole sub does each person get = Number  of people / Number of sub sandwiches

⇒ fraction of a whole sub does each person get = 8/3

or,  fraction of a whole sub does each person get = 6 2/3

Thus, each person get 6 2/3 fraction of a whole sub.

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Answer:

8

Step-by-step explanation:

13-5

Answer:

Option A, Option D and Option E are correct options.

Step-by-step explanation:

We need to find solutions of the inequality: [tex]2x^2-1>6x[/tex]

We will check the options and see, which options satisfy the inequality.

Option A

x=-4

Put x=-4

[tex]2x^2-1>6x\\2(-4)^2-1>6(-4)\\2(16)-1>-24\\32-1>-24\\31>-24\:\:True[/tex]

So, x=-4 is the solution of inequality.

Option B

x=3

Put x=-3

[tex]2x^2-1>6x\\2(3)^2-1>6(3)\\2(9)-1>18\\18-1>18\\17>18\:\:False[/tex]

So, x=3 is not the solution of inequality.

Option C

x=1

Put x=1

[tex]2x^2-1>6x\\2(1)^2-1>6(1)\\2(1)-1>6\\2-1>6\\1>6\:\:False[/tex]

So, x=1 is not the solution of inequality.

Option D

x=5

Put x=5

[tex]2x^2-1>6x\\2(5)^2-1>6(5)\\2(25)-1>30\\50-1>30\\49>30\:\:True[/tex]

So, x=5 is the solution of inequality.

Option E

x=-2

Put x=-2

[tex]2x^2-1>6x\\2(-2)^2-1>6(-2)\\2(4)-1>-12\\8-1>-12\\7>-12\:\:True[/tex]

So, x=-2 is the solution of inequality.

So, Option A, Option D and Option E are correct options.

Answer:

where is the tension.......?

Step-by-step explanation:

Answer:

y= -2x and (3,-6)

Step-by-step explanation:

h

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle ([tex]A[/tex]), measured in square feet, is determined by the following equations:

[tex]A = w\cdot l[/tex] (1)

Where:

[tex]w[/tex] - Width, measured in feet.

[tex]l[/tex] - Length, measured in feet.

If we know that [tex]w = x[/tex], [tex]l = 2\cdot x[/tex] and [tex]A = 160\,ft^{2}[/tex], then we get the following second order polynomial:

[tex]2\cdot x^{2}-160 = 0[/tex] (1)

And we solve the expression for [tex]x[/tex]:

[tex]2\cdot x^{2} = 160[/tex]

[tex]x^{2} = 80[/tex]

[tex]x = \sqrt{80}\,ft[/tex]

[tex]x \approx 8.944\,ft[/tex]

Then, the dimensions of the pool are, respectively:

[tex]w \approx 8.944\,ft[/tex] and [tex]l \approx 17.888\,ft[/tex]

We need to make the denominators equal for both fractions to figure out how much sugar was used in all.

3/4 + 1/2

We can multiply the numerator and the denominator by 1 for 3/4. We can multiply the numerator and the denominator by 2 for 1/2. Therefore, we will get 1.

3/4 + 1 = 1 3/4 OR  7/4

Answer is 7/4 or 1 3/4.

Answer:

Jill  = 125lb

Pete = 175lb

Eddie = 157lb

Ken = 140lb

Step-by-step explanation:

Given

Represent Jill with J; Ken with K; Pete with P and Eddie with E

[tex]J = K - 15[/tex]

[tex]P = 50 +J[/tex]

[tex]E = P - 18[/tex]

[tex]J + K + P + E = 597[/tex]

Required

Determine the weight of each

Substitute 50 + J for P in [tex]E = P - 18[/tex]

[tex]E = 50 + J - 18[/tex]

[tex]E = J + 50 - 18[/tex]

[tex]E = J + 32[/tex]

Make K the subject in [tex]J = K - 15[/tex]

[tex]K = J + 15[/tex]

Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]

[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]

Collect Like Terms

[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]

[tex]4J = 500[/tex]

[tex]J = 500/4[/tex]

[tex]J = 125lb[/tex]

Substitute 125 for J in [tex]P = 50 +J[/tex]

[tex]P = 50 + 125[/tex]

[tex]P = 175lb[/tex]

Substitute 175 for P in [tex]E = P - 18[/tex]

[tex]E = 175 - 18[/tex]

[tex]E = 157[/tex]

Substitute 125 for J in [tex]K = J + 15[/tex]

[tex]K = 125 + 15[/tex]

[tex]K = 140[/tex]

Answer:

Cost of a kit is $20

cost of a microscope is $80

Step-by-step explanation:

Here, we want to write a set of equations and solve

Let the cost of a microscope be $m while the cost of a kit be $k

Total cost of 38 microscopes will be 38 * m = $38m

Total cost of 47 kits = 47 * k = $47k

The sum of these is $3980

That will be;

47k + 38m = 3980 ••••••(i)

A microscope cost 4 times a kit

Mathematically;

m = 4k •••••••••(ii)

Substitute ii into i

47k + 38(4k) = 3980

47k + 152k = 3980

199k = 3980

k = 3980/199

k = $20

Recall;

m = 4k

m = 4 * 20 = $80

Answer:

120

Step-by-step explanation:

No. of plastic cups = 24

No. of straws =20

We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.

Prime factrisation of 24 = 2×3×2×2

Prime factorisation of 20 = 2×5×2

LCM = 120

Hence, the smallest number of each type will be 120.

Answer:

28 and 12

Step-by-step explanation:

The sum of two numbers is 40 and the difference is 16. What are the number? x+y=40 Substitute for x from above. (y+16)+y=40 Subtract 16 from each side.

The two numbers whose sum is 40 and difference is 16 are 28 and 12.

Let's denote the two numbers as x and y. We are given the following information:

x + y = 40 (equation 1)

x - y = 16 (equation 2)

To solve for x and y, we can use a method called elimination or substitution. Let's use the elimination method here.

Adding equation 1 and equation 2, we eliminate the y term:

(x + y) + (x - y) = 40 + 16

2x = 56

x = 28

Now we can substitute the value of x back into equation 1 to solve for y:

28 + y = 40

y = 40 - 28

y = 12

Therefore, the two numbers are 28 and 12.

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Answer:

6a + 6b

Step-by-step explanation:

Answer:

Jonathan is 39

Jayla is 78

Step-by-step explanation:

13: Sam

? 1: Jonathan 3*sam

? 2: Jayla 2* Jonathan

13 * 3 = 39

Jonathan is 39

39 * 2 =  78

Jayla is 78

Answer:

1: Size

2: Congruent

3: Proportional

Step-by-step explanation:

Hope that helped

Answer:

poopoopeepee

Step-by-step explanation:

Answer:

9/10 > 7/8

Step-by-step explanation:

The least common denominator (LCD) is: 40.

Rewriting as equivalent fractions with the LCD:

9/10            7/8

36/40 35/40

Comparing the numerators of the equivalent fractions we have:

9/10   7/8

36/40 > 35/40

Therefore, comparison shows:

9/10 > 7/8

<3

Answer:

I don't get what you are trying to say I think you need to put it in better understanding

Answer: The seagull is faster

Step-by-step explanation:

An owl travels 8 1/3 miles in 3/4 hour. The miles per hour of the owl would be:

= 8 1/3 ÷ 3/4

= 25/3 ÷ 3/4

= 25/3 × 4/3

= 100/9

= 11 1/9 miles pee hour

A seagull travels 12 1/2 miles in 2/3 an hour. The miles per hour of the seagull would be:

=12 1/2 ÷ 2/3

= 25/2 ÷ 2/3

= 25/2 × 3/2

= 75/4

= 18 3/4 miles per hour

Based on the calculation above, the seagull is faster.

Answer:

11 1/9 miles per hour<---- owls speed

I seagle is faster

Step-by-step explanation:

i just know bc i got it right on iready... :)

Answer:

it could be 1/1 or 2/2 or 3/3 or 4/4 or 5/5 or 6/6 it is the same thing just put the number like how i did depending on the question

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

Answer:

Yes. A is the correct answer. I did the work.

Step-by-step explanation:

Answer:

0.33333333333

Step-by-step explanation:

You divide 2÷4×4÷6= 0.33333333333

Answer:

8/24

Step-by-step explanation:

2/4 x 4/6

All you need to do is multiply from across

2*4 = 8 (numerator)

6 * 4 = 24 (denominator)

8/24

Answer:

Square has a perimeter : P =4 x a => a = P/4 = 20.5/4 = 5.125 feet

Step-by-step explanation: