if the sum of 2 digits no. is 9 and their differenc is 1 find te no.​

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

9514 1404 393

Answer:

  not a solution

Step-by-step explanation:

The given pair does not satisfy the second equation.

  y = -x + 5

  6 = -3 + 5 . . . . . . . . false for (x, y) = (3, 6)

The ordered pair is not a solution to the system of equations.

Answer:

Jill lost 1/3

Bill lost 1/6

and Jack lost 1/4

Make a common denominator -  let's use 12

Jill lost 4/12

Bill lost 2/12

Jack lost 3/12

Add them together = 9/12

reduce by dividing by 3.

total of 3/4 spilt

48 divided into 4 parts then multiplied by 3 of those parts

48 / 4 * 3 = 36

Step-by-step explanation:

Answer:

11cm

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 500(.04)(2)

Based on the information given the interest earned is $40.

Using this formula

Interest =Principal× Rate× Time

Where:

Time =2 year

Principal=$500

Rate=4% or 0.04

Let plug in the formula

Interest=500(0.04)(2)

Interest=$40

Inconclusion the interest earned is $40.

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Answer:

Step-by-step explanation:

Answer:no, she would be 17 cents short

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Compute the tax =

9.50 * 7% = 9.5 * .07 or 66.5 cents.

Since she only has $10, she does not have enough money.

Answer:

its the last one & the 3rd one.

hope that helps

Answer:

option c is the correct one according to me......

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

Step-by-step explanation:

Answer:

D or 8sqrt3

Step-by-step explanation:

the shortest side = the longest divided by 2

the shortest side = 16/2

the shortest side = 8

the longer side = the shortest times sqrt3

the longer side = 8 times sqrt3

the longer side = 8sqrt3

Answer:

±5 is your answer

Step-by-step explanation:

x²-25=0

comparing above equation with ax²+bx+c

we get

a=1

b=0

c=-25

by using quadratic equation

x=(-b±√(b²-4ac))/2a=(-0±√(0²-4×1×-25))/2×1

=±{√(100)}/2=±(√10²)/2=±10/2=±5

Answer:

5, - 5

Step-by-step explanation:

x^2 = 25

x = ± √25

= ± 5

x = 5, - 5

Answer:

(3,2)

Step-by-step explanation:

Answer:

(x - 4)^2

Step-by-step explanation:

Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

Answer:

6  Tables

Step-by-step explanation:

100 = 10x + 40

60 = 10x

6 = x

good luck, hope this helps :)

6 tables

100-40=60

each table = 10

60 divided by 10=6

Answer:

The correct answer is 9x+6.

Step-by-step explanation:

The equivalent expression to the given expression is 9x+6.

The given expression is:

5x + (x+6) +3x.

An expression is a set of terms combined by mathematical operations.

5x + (x+6) +3x

=5x+x+3x+6

=9x+6

So, equivalent expression is 9x+6.

Thus, the equivalent expression to the given expression is 9x+6.

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Answer: look at the picture and I don’t know how to solve for b but I can do h

Step-by-step explanation: hope this help :)

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

the correct answer is true

Answer:

I believe this is true!

Hope that helps!

Answer: 8 gallons of blue

Step-by-step explanation:

Robert mixes the paint in the ratio:

= 3 yellow : 2 blue

If there are 12 yellow used then direct proportion can be used:

3   :   2

12 :   x

Cross-multiplying will give:

3x = 24

x = 24 / 3

= 8 gallons of blue

Answer:

The slope is 2. It represents the price of the cookies.

Step-by-step explanation:

The slope is 2 because its in frount of the x and 2 is the price of the cookies.

Answer:

$127.03

Step-by-step explanation:

A snow cone machine price at $139 is on after for 20 off.

The price after discount=139-20=$199

The sale tax rate 6.75%

Price with sales tax=199+(6.75%×199)

=199+(0.0675×199)

= 199+8.03

=$127.03

Answer:

2.72 cm2

Step-by-step explanation:

Height (m) x height (m) =height squared (m exponent 2)

The square of her height in meter² is 2.7225.

To multiply numbers with decimals one way is to multiply the given numbers without the decimal then in the obtained result put the decimal as many places before from the right as the sum of the digits after the digits which those decimal numbers had.

According to the given question Ms. Aluma is 165cm tall.

We know 165 cm is = (165/100)meter = 1.65meter.

As 1 meter is 100 centimeter.

∴ The square of her height is (1.65)² OR (1.65×1.65)m² which is

= 2.7225 m².

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Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

Answer:

g=-1

Step-by-step explanation:

-3 + 4g= 7g

-4g. -4g

g=-1

Answer:

Stick 2

Step-by-step explanation:

Given

[tex]L = 1.05m[/tex] --- Shelf length

Missing information from the question are:

[tex]Stick\ 1 = 1.4m[/tex]

[tex]Stick\ 2 = 1.041m[/tex]

[tex]Stick\ 3 = 1.14m[/tex]

[tex]Stick\ 4 = 1.104m[/tex]

See attachment

Required

Which stick best fits the shelf?

The following observations are to be noted:

Hence, Justin should choose stick 2

Answer:

X=4

Step-by-step explanation:

x+y=6

(+)x-y=2 (Add to get rid of y's)

2x=8

2x/2=8/2

x=4

Answer:

Below in bold.

Step-by-step explanation:

If we draw a line  from top right vertex perpendicular to the  bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

= 26 m^2.

Answer:

y < [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < [tex]\frac{13}{2}[/tex]

Answer:

y < 13/2

Step-by-step explanation:

Answer:

               [tex]\bold{x=-4\pm\sqrt{46}}[/tex]

Step-by-step explanation:

[tex](a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}[/tex]

The solution to the quadratic equation by completing the square will be

x = -4 ± √46. The correct option is A.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given equation will be solved as below:-

x² + 8x − 30 = 0

Completing the square for the above equation.

( x + 4 )² - 16 - 30 = 0

( x + 4 )² = 46

x + 4 = ±√46

x = ±√46 - 4

Therefore, the solution to the quadratic equation by completing the square will be x = -4 ± √46. The correct option is A.

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Answer:

1/4

Step-by-step explanation:

You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:

1/3 * 3/4

(cross multiply)

3/12

(simplify (divide top and bottom by three))

1/4