write 4.59% as a decimal

Answer:

Given equation: [tex]Px+5 = -4x+ Q[/tex]

Add 4x on both sides we get;

Px + 5 + 4x = -4x + Qc+ 4x

Simplify:

Px +4x + 5 = Q

or

x(P+4) = Q - 5

Divide P+4 on both sides we get;

[tex]x = \frac{Q-5}{P+4}[/tex]

If we set Q-5 = 0 and P +4 = 0, there will be no solutions.

Since, No solution would mean that there is no answer to the equation.

⇒[tex]Q -5 = 0[/tex]

or

Q = 5

and

⇒[tex]P +4 = 0[/tex]

or

P= -4

Therefore, the values of P = -4 and Q = 5 results in an equation with no solutions.

Answer: P = -4 and Q = -5

Answer:

the integers are: 87, 89, and 91

Step-by-step explanation:

n+n+2+4=267

3n+6=267

3n=261

n=87.

can you please tell me where you got this question from

Final answer:

The three consecutive odd integers that sum up to 267 are 87, 89, and 91. By setting up an equation, we find the first integer and then determine the next two by adding 2 to each consecutive integer.

Explanation:

The sum of three consecutive odd integers is 267. To find these integers, let's first represent them algebraically. Assume the smallest integer is x. Then the second integer, being consecutive and odd, would be x + 2, and the third would be x + 4. The sum of these three integers is given by:

x + (x + 2) + (x + 4) = 267

Simplify this equation to find the value of x:

3x + 6 = 267

Subtract 6 from both sides:

3x = 261

Divide both sides by 3:

x = 87

Now that we have the smallest integer, the second and third integers are 87 + 2 = 89 and 89 + 2 = 91, respectively.

The three consecutive odd integers are 87, 89, and 91.

Answer:

B

Step-by-step explanation:

Because Im MATHS SUPER MAN

Answer:

$82.55

Step-by-step explanation:

65 + (0.07×65) + (0.2×65)

Answer:

Multiplication and Division in order from left to right

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication and Division in order from left to right

Addition and Subtraction in order from left to right

Final answer:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

Explanation:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

In the order of operations, exponents are evaluated first, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. This means that after evaluating exponents, you should perform any multiplication or division operations in the expression if they exist.

For example, if you have the expression 2³ times 4 + 6, you would first evaluate 2³ = 8 and then perform the multiplication: 8 times 4 = 32. Finally, you would add the resulting 32 to 6 to get the final answer.

Answer:

< 8 = 60

<1 and <5 are corresponding angles

Step-by-step explanation:

<2 = <3  vertical angles

<3 = <6  alternate interior angles

<6 + <8 = 180  supplementary angles

120 + <8 = 180

Subtract 120 from side

120-120 + <8 = 180-120

< 8 = 60

<1 and <5 are corresponding angles

Corresponding angles occupy the same relative position at each intersection.

Answer:

The measure of [tex]\angle 8[/tex] is 60°

[tex]\angle 1[/tex] and [tex]\angle 5[/tex] are corresponding angles.

Step-by-step explanation:

Given that, [tex]m\angle 2= 120\°[/tex]

In the given diagram, [tex]\angle 2[/tex] and [tex]\angle 6[/tex] are corresponding angles and their measures are same.

So, [tex]m\angle 6= 120\°[/tex]

Now, [tex]\angle 6[/tex] and [tex]\angle 8[/tex] are pair of linear angles.

That means......

[tex]m\angle 6+m\angle 8= 180[/tex]°

[tex]\Rightarrow 120\°+m\angle 8=180\°\\ \\ \Rightarrow m\angle 8= 180\°-120\°\\ \\ \Rightarrow m\angle 8=60\°[/tex]

So, the measure of [tex]\angle 8[/tex] is 60°

The type of angles for [tex]\angle 1[/tex] and [tex]\angle 5[/tex] is corresponding.

Answer:

18 times

Step-by-step explanation:

6/10= .6

So 60% of 30 is 18

Answer:

x = 57.22754579  

Step-by-step explanation:

We know cos 63 = adjacent/ hypotenuse

                  cos 63 =  15 sqrt(3)/x

Multiply each side by x

x cos 63 =15 sqrt( 3 )

Divide each side by cos 63

x cos (63)/ cos (63) = 15 sqrt(3)/cos (63)

  x = 15 sqrt(3)/ cos 63

x = 57.22754579  

i would use cymath or photo math

ps im not a bot lol

Answer:55

Step-by-step explanation: Whenever you see the word "sum" it means to add. So, 5+7+9+3+1+3+9+8+5+2+3=55

By adding each game's score in Samara's game sequence, we find that the total score of all 11 games is 55 points.

To find the total score of Samara's games, we need to add all the points she got from each game. We do this by performing the addition of the numbers in the number sentence she wrote down:

Thus, the total number of points for 11 games is 55.

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The effective annual yield for a certificate of deposit with a 6% annual interest rate compounded quarterly is approximately 6.14%.

To find the effective annual yield, we need to use the formula:

Effective Annual Yield = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1

In this case, the interest rate is 6%, which is equivalent to 0.06. The number of compounding periods is 4 per year. Plugging these values into the formula, we get:

Effective Annual Yield = (1 + (0.06 / 4))^4 - 1

Calculating this, we find that the effective annual yield is approximately 6.14%.

x, y - the numbers

x + y = 19

x - y = 3        add both sides of the equations

2x = 22      divide both sides by 2

x = 11

Substitute the value of x to the first equation:

11 + y = 19     subtract 11 from both sides

y = 8

The sum of the two numbers is 19 and their difference is 3. The two numbers are 11 and 8.

Let's use a system of equations to solve this problem.

Let's say the first number is x and the second number is y.

According to the given information, we have the following equations:

x + y = 19  (equation 1)

x - y = 3  (equation 2)

We can solve these equations simultaneously by either substitution or elimination method.

Let's use the elimination method.

Adding equation 1 and equation 2, we get:

(x + y) + (x - y) = 19 + 3

2x = 22

x = 11

Substituting the value of x in equation 1, we get:

11 + y = 19

y = 8

Therefore, the two numbers are 11 and 8.

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Answer:39/4

Step-by-step explanation: What I'd do first is set the question up as an ordered pair, for example (x,y) have the uniforms be represented by x and the cost be represented by y. We know that the cost of five uniforms is $66, so we can substitute (x,y) into (5,66). We can then do the same for nine uniforms which is 105 (9,105). The equation we are going to use to find the slope is y2-y1/x2-x1 = 105-66/9-5.

This should result in 39/4. Make sure to always simplify when needed, in this case we don't have to.

Hope this helped.

Answer:

Alright well  simplify the expression

which gives u 12.8 Hope this help's Have a nice day :)

Step-by-step explanation:

If u want i can explain with detail

Answer:

The answer would be 4.8.

Step-by-step explanation:

The reason for it is because you subtract 37.63 - 32.83 and you get 4.8

Answer: 4

Step-by-step explanation: you will need to subtract 37.63 to 32.83, and so it will give you 4.8. since it is asking for an individual number between 2-5, it is reasonable to choose 4 (ideal because the final answer is 4.8.)

Answer:

.70p  

p(1-.30)

Step-by-step explanation:

Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off.

Tony writes althea following expression

p - .30p

Here P  or 1P  are same

So expression becomes 1p - 0.30p

Both are like terms

so we can subtract it

1p - 0.30p = 0.70p

Also we can write 1p - 0.30p  as  p(1-0.30)

We can take out p that is in common

Equivalent expression is .70p  and p(1-.30)

Answer: 16.5 gallons of water should be mixed to make a 20% solution of [tex]H_2SO_4[/tex]

Step-by-step explanation: We are given the concentration of the solution in percentage, it can be taken as the molarity of the solution.

Now, to calculate the volume of water required, we use the formula:

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1\text{ and }V_1[/tex] are the initial molarity and volume of the solution.

[tex]M_2\text{ and }V_2[/tex] are the final molarity and volume of the solution.

Given:

[tex]M_1=55\%\\V_1=6gallons\\M_2=20\%\\V_2=?gallons[/tex]

Putting values in above equation, we get:

[tex]55\times 6=20\times V_2\\V_2=16.5gallons[/tex]

Answer:

10.5 gallons of water should be added.

Step-by-step explanation:

Let [tex]C_{1} * V_{1} = C_{2} * V_{2}[/tex], where [tex]C_{i}[/tex] are the concentration of the solution and [tex]V_{i}[/tex] are the volume of the solution for i=1,2.

Now, substituting values, we have,

55*6 = 20*[tex]V_{2}[/tex]

i.e. [tex]V_{2}[/tex] = (6*55)/20

i.e. [tex]V_{2}[/tex] = 16.5

So, the final volume is 16.5 gallons.

Hence, we need to add 16.5 - 6 = 10.5 gallons of water.

Answer:

Last choice

Step-by-step explanation:

Let's assume m is the "y" (dependent variable) and d is the "x" (independent variable) because the number of minutes is larger, and that would make more sense.

5760/4=1440

10080/7=1440

...

Slope is 1440, and it is direct variation

m=1440d

It COULD also be the third choice, but mathematical convention would have us put the coefficient first.

Answer:

f(x) = 2/3x +4

Step-by-step explanation:

The initial value is another name for the y intercept, so b = 4

Rate of change is another name for slope so m = 2/3

We can use the equation y =mx+b

y = 2/3 x + 4

We want it in function form

f(x) = 2/3x +4

Answer:

Step-by-step explanation:

he used distributive property.

Answer:

Jack used distributive property

Answer:

3 and 6 as well as 4 and 5

Step-by-step explanation:

interior angles are the ones between perpendicular lines. I do belive you choose the ones oposite from one another. JUst look for the definiotn of angles on google and you'll find plenty of helpful awnsers to solving you equasions.

Answer:

its probably 8.5

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

Trigonometric area formula is Area = [tex]\frac{1}{2}\times absin(C)[/tex]

Where a and b are two sides of the triangle and C is the angle between these two sides.

As given in the figure, side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle will be defined by the formula

Area = [tex]\frac{1}{2}\times acsin(B)[/tex]

        = [tex]\frac{1}{2}\times acsin(B)[/tex]

        = [tex]\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)[/tex]

        = 6√2×sin80°

        = 6×(1.414)×0.9848

        = 8.36 square units

        ≈ 8.4 square units

Option B is the answer.

Answer: 6

Step-by-step explanation:

NOTE: log₆6 = 1

log₆6 + log₆(x - 5) = log₆6

  1      + log₆(x - 5) =    1

            log₆(x - 5) =    0

                    x - 5  =  6⁰

                    x - 5  =  1

                    x       = 6

The original price before a 25% discount, when the sales price is $40, is calculated as $40 divided by 0.75, resulting in $53.33.

To find the original price before a 25% discount, we can set up the equation where original price minus 25% of the original price equals the sales price. Let's call the original price 'P'. Then 0.25P is the amount discounted. The equation is P - 0.25P = $40. This simplifies to 0.75P = $40. To find P, divide both sides by 0.75, giving us P = $40 / 0.75. So, the original price P = $53.33.

The original price is $53.33.

If you have the sales price and the percent of discount, you can calculate the original price using the following steps:

To find the original price, we set up the equation:

0.75P = 40

Next, solve for P by dividing both sides by 0.75:

P = 40 / 0.75

P = $53.33

So, the original price of the item was $53.33 before the 25% discount was applied.

It ΔABC and ΔXYZ are similar, then the sides of the triangles are in proportion.

[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]

We have BC = 8, AC = 7, Y = 28, XZ = 49 and YZ = 56. Substitute:

[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}\to\dfrac{AB}{28}=\dfrac{8}{56}\qquad\text{cross multiply}\\\\56AB=(8)(28)\qquad\text{divide both sides by 56}\\\\AB=\dfrac{224}{56}\\\\\boxed{AB=4}[/tex]

Answer: 1584.1875

Step by Step Explanation:

Step 1. Multiply the fraction

71 x 89.25/4

Step 2. Multiply the numbers 71 x 89.25.

= 6336.75/4

Step 3. Divide the number 6336.75/4.

= 1584.1875

Hope I could help! :)

To map triangle RST to triangle DEF, perform a translation, rotation, and possibly a reflection.

To map triangle RST to triangle DEF using rigid motions, we need to use a combination of translations, rotations, and reflections.

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Answer:

$86.25

Step-by-step explanation:

You need to calculate 15% of $75, and then add it to $75.

To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100, which the same as moving the decimal point of the percent two places left.

For example, 15% = 15/100 = 0.15 (by dividing 15 by 100).

15% = 0.15 (by moving the decimal point of 15 two places to the left).

Now back to the problem. First, we find 15% of $75.

15% of $75 =

= 15% * $75

= 0.15 * $75

= $11.25

The tip of 15% of $75 was $11.25.

The total amount spent is the bill total, $75, plus the $11.25 tip.

Total spent = $75 + $11.25 = $86.25