What is the ratio of a:b, knowing that a-b/a+b = 3/5.

Answer:

Explanation:

Length: (6x - 7)

Width: (5x + 2)

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

- PNW

Answer:

5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.

The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the expression for the total cost,

C = 5b + 3.79 where b is the number of bagels.

Cost of 5 bangles →

C = 5(5) + 3.79 =$ 28.79

Cost of container = $3.79

Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.

Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".

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Answer:

45.50 (StartFraction 7 over 10 EndFraction) = n

Answer:

the correct answer on edge is B. 45.50=0.7n

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

The measure of the angle KSO is 135°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, In the diagram below of parallelogram ROCK, m angle is 70 degrees and m angle ROS is 65

We know that, opposite angles of a parallelogram are equal,

Therefore, ∠ ORK = 70°

In triangle, SRO, ∠ ORK and ∠ ROS are interior angles, and ∠ KSO is an exterior angle,

We know, The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Therefore, ∠ KSO = ∠ ORK + ∠ ROS

∠ KSO = 135°

Hence, The measure of the angle KSO is 135°

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Answer:

800 students failed

Step-by-step explanation:

Since 60% passed the class, 40% failed

This means that 40% of the 2,000 students are failures

[tex]\frac{40}{100} (2,000)= 800[/tex]

Answer:

$13,160

Step-by-step explanation:

5,600*.03=168

168*45= 7,560

5,600+7,560= 13,160

The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.

Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).

The formula to calculate Simple Interest is:

SI  = P*I*T

Here, P = Principal amount,

I = interest rate (in  decimals),

T = time duration (in years).

putting the values from question:

SI = 5600 * 0.095*3

Simple Interest = 535

The money in the account will be the sum of principal amount and the simple interest.

Final amount = Principal amount + Simple Interest.

A = 5600 + 535

A = 6135

Therefore, the money in the account after 3 years is $6135 .

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complete question;

Tom deposits $5,600 into a savings account.  The simple interest rate for the account is 9.5%.  If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?

circumference = pi*d

70cm*pi = 219.8cm

219.8cm × 240 rev = 52752 cm

52752cm/100 = 528m

Answer:

$421.10

Step-by-step explanation:

If the discount is 10%, that means the sale price is 90% of the original price.

Write the equation that represents that:

378.99 = 0.9x. Solve for x. Divide both sides by 0.9

378.99/0.9 = 421.10

That is the price before the discount and tax.

Answer: 116 packages

Step-by-step explanation:

From the question, we are informed that Puzzles are packaged in groups of 3 and that the store has 183 nature puzzles. The number of packages here will be:

= 183/3

= 61 packages

For the 165 animal puzzles, the number of packages will be:

= 165/3

= 55 packages

The total number of packages of puzzles will be:

= 61 + 55 packages

= 116 packages

Answer:

116

Step-by-step explanation:

First find total number of puzzles.

183+165=348

Then divide the total puzzles by puzzles in a package (3)

348÷3=

116 packages of puzzles

Answer: The text also states, “And her friends told her afterwards that she had spoken in a very loud voice, not shouting, just a very loud voice” (p.2). This proves that Celeste took a risk standing up to the teacher in a firm voice; her actions show that she believed the risk of getting in trouble was worth it to stop the Teacher’s unfair punishment.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=36+12x

Step-by-step explanation:

Answer:your answer is D.

Step-by-step explanation:

When dividing fractions you must flip the numerator and denominator so that would leave you with 6/1 divided by 3/4, solve this and then you have an improper fraction so after you multiply by 3 you must divide because of the improper fraction and you will divide by 4.

Answer:

d .the total area multiplied by 3 divided by 4

Step-by-step explanation:

.

the total area multiplied by 3 divided by 4

Answer:

18 foot ladder will reach at 14.4 feet up the wall.

Step-by-step explanation:

Triangles formed by the ladder against wall and the ground are similar,

ΔABC ~ ΔDEC

Therefore, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]

[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]

[tex]\frac{18}{10}=\frac{BC}{8}[/tex]

BC = [tex]\frac{18\times 8}{10}[/tex]

     = 14.4

Therefore, 18 foot ladder will reach at 14.4 feet up the wall.

Answer:

a- 15

Step-by-step explanation:

Answer:

a.) 15

b.) 180

c.) 2700

d.) 2700

Answer:

14

Step-by-step explanation:

Since both the chords are equidistant from the center of the circle, so their lengths would be same.

x = 2*7 = 14

Answer:

160

Step-by-step explanation:

Answer:

get math  it will help you

Step-by-step explanation:

Answer: x=95 and y=17

Step-by-step explanation:

X-y=78

6y=7+x

6y-7=x

6y-7-y=78

5y-7=78

5y=85

y=17

x-17=78

x=78+17

x=95

Answer:

x=143

y=25

thus ur two numbers are 143 and 25

Answer: -6

Step-by-step explanation:

Answer:

B = - 6

Step-by-step explanation:

Multiply the numbers

[tex]-8=\frac{1}{2} (-4)+b\\-8=-2+b\\[/tex]

Rearrange terms

[tex]-8=-2+b\\-8=b-2[/tex]

Add 2 to both sides of the equation

[tex]-8=b-2\\-8+2=b-2+2[/tex]

Simplify

Add the numbers

Add the numbers

Move the variable to the left

[tex]b=-6[/tex]

Answer: Factoring  x2+8x+17

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +17

Step-1 : Multiply the coefficient of the first term by the constant   1 • 17 = 17

Step-2 : Find two factors of  17  whose sum equals the coefficient of the middle term, which is   8 .

     -17    +    -1    =    -18

     -1    +    -17    =    -18

     1    +    17    =    18

     17    +    1    =    18

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 + 8x + 17  = 0

STEP

2

:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = x2+8x+17

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -4.0000  

Plugging into the parabola formula  -4.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0

or   y = 1.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2+8x+17

Axis of Symmetry (dashed)  {x}={-4.00}

Vertex at  {x,y} = {-4.00, 1.00}  

Function has no real rootsvSolving   x2+8x+17 = 0 by Completing The Square .

Subtract  17  from both side of the equation :

  x2+8x = -17

Now the clever bit: Take the coefficient of  x , which is  8 , divide by two, giving  4 , and finally square it giving  16

Add  16  to both sides of the equation :

 On the right hand side we have :

  -17  +  16    or,  (-17/1)+(16/1)

 The common denominator of the two fractions is  1   Adding  (-17/1)+(16/1)  gives  -1/1

 So adding to both sides we finally get :

  x2+8x+16 = -1

Adding  16  has completed the left hand side into a perfect square :

  x2+8x+16  =

  (x+4) • (x+4)  =

 (x+4)2

Things which are equal to the same thing are also equal to one another. Since

  x2+8x+16 = -1 and

  x2+8x+16 = (x+4)2

then, according to the law of transitivity,

  (x+4)2 = -1

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+4)2   is

  (x+4)2/2 =

 (x+4)1 =

  x+4

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x+4 = √ -1

Subtract  4  from both sides to obtain:

  x = -4 + √ -1

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1

Since a square root has two values, one positive and the other negative

  x2 + 8x + 17 = 0

  has two solutions:

 x = -4 + √ 1 •  i

  or

 x = -4 - √ 1 •  i

Answer:

x=27

Step-by-step explanation:

Answer:

boop

Step-by-step explanation:

Answer:

b = 8

Step-by-step explanation:

The real part of the givens add correctly.

bi - 2i = 6i         Add 2i to both sides.

bi = 6i + 2i

bi = 8i               The i's will cancel

b = 8

Answer:

Therefore, 32/80 simplified to lowest terms is 2/5.

Answer:

It is equivalent.

Step-by-step explanation:

(x-0.35x) is (Total price-0.35 × the original price)=0.65×

Answer:

There are 200 1/8's in 25.

Step-by-step explanation:

If I am thinking of this correctly then there are 200. Basically, what how I interpreted this is that you mean 8 1/8's make up 1. and you need 25 whole 1's. If that is the case the correct answer is 200.

200 1/8. Hope this helps and feel better!

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution:

20% of flights accounted for nearly 70 to 80% of delayed minutes.