Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7(3x + 2) – 8 = 0

Answer:

Step-by-step explanation:

Answer:

If you do not pay the entire credit card bill, you are charged an interest on the unpaid part.

Step-by-step explanation:

If you do not pay the entire credit card bill, you are charged an interest on the unpaid part.

When you do not pay the entire bill or pay less than minimum or minimum amount, an interest is charged on the remaining balance.

The amount increases each month as the interest is added with the unpaid amount.

Subtract the mean from Jake's score:

520 - 500 = 20

Divide by the standard deviation:

20/60 = 0.33

Jake scored 0.33 standard deviation above the mean.

From the Z-table, 0.33 = 0.6293 = 62.93% of students scored below Jake.

Round to 63%

Answer:

z score is 0.33

( 0.6293) is the answer the next slot)

and 62.93% is last

Step-by-step explanation:

Given is :      

Monthly salary of Juan = $3200

Federal withholding is 14.1 % of 3200 = [tex]\frac{14.1}{100}*3200= 451.20[/tex]

Deductions for social security and medicare = $244.80              

So, total deductions of Juan are = [tex]451.20+244.80=696[/tex]  

So, Juan's monthly net pay is= [tex]3200-696=2504[/tex]  

= $2504 

Juan's net pay is calculated by first determining the federal withholding from his monthly salary and then subtracting the deductions for Social Security and Medicare. His net pay comes out to be $2,504 after all deductions.

To find Juan's net pay after deductions and taxes from his monthly salary of $3,200, we must first calculate the amount withheld for federal taxes, then subtract the fixed amount deducted for Social Security and Medicare. Juan's federal withholding is 14.1% of his gross pay, so we calculate 14.1% of $3,200 to find the federal withholding. Next, we subtract the total deduction for Social Security and Medicare from his gross salary.

The calculation for federal withholding is: $3,200 × 14.1% = $451.20

Therefore, the total deduction is: $451.20 (federal withholding) + $244.80 (Social Security and Medicare) = $696.

To find his net pay, we subtract the total deduction from the gross salary:

Net Pay = Gross Salary - Total Deduction = $3,200 - $696 = $2,504

Juan's net pay after all deductions is $2,504.

Answer:

A

Step-by-step explanation:

We can use trigonometric ratios to solve this.

With respect to the angle given, the building's height is the side that is "opposite".

Also, the given length of 63 feet is the "adjacent" side with respect to the angle given.

Which trigonometric ratio relates "opposite to adjacent" side?

It is TAN.

Now, let's write the ratio and solve for the height of the building (let h be height of the building). We have:

[tex]Tan(\theta)=\frac{Opposite}{Adjacent}\\Tan(59)=\frac{h}{63}\\h=Tan(59)*63\\h=104.85[/tex]

Rounding this, we get h = 105 feet, correct answer A

Answer:

The height of the building = 105 feet ⇒ answer (A)

Step-by-step explanation:

* To find the height of the building use the trigonometry functions

- Lets consider the height (h) of the building as a side of right angle triangle

 and the other side is the distance from the bottom of the building

- Now we have right angle triangle one of its acute angle is 59°

- The length of one leg of the right angle = 63 feet

- We have the adjacent side of angle 59°

- we need to find the opposite side of angle (h)

∴ Lets use the function tan to find h

∵ tanФ = opposite to Ф/adjacent to Ф

∵ Ф = 59°

∵ The length of the side adjacent to Ф = 63 feet

∴ tan59 = h/63 ⇒ by using cross multiplication

∴ h = 63 × tan 59 = 104.849 ≅ 105 feet

∴ The height of the building = 105 feet answer (A)

c. 18 is the answer you get

Answer:

1017.87602

Step-by-step explanation:

A = π R squared = π · 18 squared ≈ 1017.87602

[tex]b. \tan(x) = 2[/tex]

Answer:

1/5

Step-by-step explanation:

She has 2 outcomes that satisfy a number less than 3.  She can choose either 1, or 2.  

There are 10 possible choices, so the probability is

2/10 = 1/5

Answer: [tex]=\dfrac{1}{5}[/tex]

Step-by-step explanation:

Given : The total  numbers from which Kelie randomly chooses a number = 10

The numbers less than 3 = 1,2

Now, the probability she chooses a number less than 3 will be :-

[tex]=\dfrac{\text{Numbers less than 3}}{\text{Total numbers}}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

Hence, the probability she chooses a number less than 3 [tex]=\dfrac{1}{5}[/tex]

The answer is 8^8 * /8

T(x) calculates the number of teams and F(x) calculates the entry fees.

To find the total entry fee, you would add the entry fee for each team together, so you need to add T(x) and F(x) together.

The answer would be C. R(x) = 9x +69

Answer:

T(x) calculates the number of teams and F(x) calculates the entry fees.

To find the total entry fee, you would add the entry fee for each team together, so you need to add T(x) and F(x) together.

The answer would be C. R(x) = 9x +69

Answer:

$83.75

Step-by-step explanation:

To find the future value, we first need to define our variables.

P = 187.45 x 0.10 = 18.745

r = 5% or 0.05

t = 30 years

n = 12

Now we can use the formula:

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]A=18.745(1+\dfrac{0.05}{12})^{12(30)}[/tex]

[tex]A=18.745(1+\dfrac{0.05}{12})^{360}[/tex]

[tex]A=83.75[/tex]

So the future value after 30 years is $83.75.

The  future value of the 10% savings from earnings of $187.45 is $83.75.

Principal= 187.45 x 0.10 = 18.745

rate = 5%

time = 30 years

n = 12

Hence:

Future value=18.745 (1+0.05/12)^30×12

Future value=18.745 (1.05/12)^360

Future value=$83.75

Inconclusion the  future value of the 10% savings from earnings of $187.45 is $83.75.

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Answer:X*2+4=y

Step-by-step explanation:Ok, so, we can pull four different points from this equation.

The monkey eats 4 apples each morning

The monkey eats 2 bananas for each 1 Tommy has

The number of bananas Tommy eats is marked as X

The number of fruits the monkey eats is marked as y

Let's start with Tommy.

X

Tommy eats X amount of bananas. Next the monkey.

X=y

The monkey eats y amount of bananas, but if you notice, he eats double to amount Tommy eats. So let's double Tommy's bananas.

X*2=y

You'll also notice, the monkey eats four apples everyday. Now, we're looking for the monkey's FRUIT intake, where as we're only looking at Tommy's BANANA intake. So, let's add that to the equation.

X*2+4=y

And there's the equation right there.

Answer:

The Answer is C!! (With two L's pointing right)

Step-by-step explanation:

Answer:

Give the other person brainliest they deserve it!

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

A circle is 360 degrees

We divide it into 20 parts

360/20 = 18

Each part is 18 degrees

We want the angle means of 3 of the parts

3*18 = 54

Three of the parts measures 54 degrees

[tex]5x + 17 = 4x - 9\Leftrightarrow x = - 26[/tex]

The mystery number satisfying the equation 5x + 17 = 4x - 9 is -26. To find this, we subtract 4x and then 17 from both sides of the equation.

The student is asking to find the mystery number that satisfies the equation: 17 more than five times the number is equal to four times the number, decreased by nine.

Let's represent the mystery number as x. The equation based on the given statement is then:
5x + 17 = 4x - 9.

To solve for x, we need to isolate the variable. Here's the step-by-step solution:

Therefore, the mystery number is -26.

Answer:

25

Step-by-step explanation:

Answer:

the answer is 25. hope this helps

Answer: 17.1

Step-by-step explanation:

If she averages 3.42 kills per game, she should average that for each of the 5 games. You need to multiply 3.42 times 5 for the total of 5 games.

3.42 x 5 = 17,1

Bev Oden, achieve approximately 17 kills in a 5 game match .

To predict the number of kills Bev Oden will achieve in a 5 game match, we can use her average kills per game to make the calculation.

Given that Bev Oden averages 3.42 kills per game, we simply multiply her average by the number of games in the match.

Step-by-step calculation:

Therefore, Bev Oden is predicted to achieve approximately 17 kills in a 5 game match.

Answer:

[tex]\log_{25}(\frac{1}{5})=-\frac{1}{2}[/tex]

Step-by-step explanation:

Let

[tex]\log_{25}(\frac{1}{5})=x[/tex]

We rewrite as an exponential equation to obtain;

[tex]\frac{1}{5}=25^x[/tex]

We rewrite both sides of the equation as an index number to base 5.

[tex]5^{-1}=5^{2x}[/tex]

Since the bases are the same, we equate the exponents to obtain;

[tex]-1=2x[/tex]

Divide both sides by 2;

[tex]x=-\frac{1}{2}[/tex]

Answer:

The blue group ate 5/8 more pizza than the red group.

Step-by-step explanation:

7/8 - 2/8 = 5/8

Answer:

So what I had yesterday was yogurt, turkey, cheese, honey wheat bread, sandwich and eggs and bacon and biscuits

Yogurt=dairy

turkey=protien

cheese=dairy

bread=garin

eggs=protien

bacon=protien

bicuits=grain

milk=dairy

Step-by-step explanation:

Answer:

9 cups

Step-by-step explanation:

12-3 = 9

Answer:

Bryan needs 9 cups more.

Step-by-step explanation:

Bryan is cooking cupcakes for a bake sale at his club. The recipe calls for 12 cups of flour.

Number of cups of flour, he already has = 3

Lets say he needs x cups more.

So, equation forms = [tex]12=x+3[/tex]

=> [tex]12-3=x[/tex]

x = 9

Hence, Bryan needs 9 cups more.

Answer:

B 40 yards for $45 is the best deal at $1.13 per yard

Step-by-step explanation:

Break it down by finding the unit price per yard (divide cost by yardage)

A. 30/20 = $1.50 per yard

B. 45/40 = $1.125 per yard

C. 70/50 = $1.40 per yard

D. 85/65 = $1.30 per yard

Answer:a

Step-by-step explanation:

ANSWER

37°

EXPLANATION

The angle of elevation of the sun is the angle through which one has to raise the head to see the sun.

When a 24 feet tree casts a shadow of 36 feet, we can obtain a right triangle as shown in the diagram to help us calculate the angle of elevation of the sun.

Let x be the angle of elevation of the sun, then

[tex] \tan(x) = \frac{24}{36} [/tex]

[tex]x = \tan ^{ - 1} ( \frac{2}{3} ) = 37.433[/tex]

Hence, the angle of elevation of the sun is 37° to the nearest degree.

To find the cost of each box, we solve an equation: 12x = 84. To find the amount Anne donates to each charity, we set up an inequality: y ≥ 120/4.

To solve the word problems, we can use equations or inequalities depending on the situation.

Question 3:

We are given that Max sold 12 boxes and earned $84. Let's assume the cost of each box is x dollars. The equation representing the given information is 12x = 84. To find the value of x, we divide both sides of the equation by 12: x = 84 / 12 = 7 dollars. Therefore, each box costs $7.

Question 4:

Anne donates at least $120 per month and divides her donations equally among 4 favorite charities. Let's assume the amount Anne donates to each charity is y dollars. The inequality representing the given information is y ≥ 120/4 = 30. Therefore, Anne donates at least $30 to each of her favorite charities per month.

Answer:

$72

Step-by-step explanation:

✯Hello✯

↪  First you need to work out what 40% of 120 is and that is 48

↪  Its been marked down by 40% so we need to do 120-48

↪  That is 72

↪  The coat is $72

❤Gianna❤

Answer:

P is greater than 4

Step-by-step explanation:

so P could be anything from 5 to infinity

Final answer:

The inequality p > 4 is satisfied by any real number greater than 4. The solution is represented visually by shading the number line to the right of the open circle at 4.

Explanation:

The solution to the inequality p > 4 is all real numbers greater than 4. In other words, for any number p that is greater than 4, the inequality will hold true.

To visualize this solution on a number line, you would draw an open circle at 4 and shade all numbers to the right of 4, indicating that all those numbers are part of the solution set.

This is a basic concept in algebra, focusing on understanding and solving inequalities. The solution does not include the number 4 itself because the inequality is strictly greater than (not greater than or equal to).

Answer:

I think its at least 2, but im not so sure

Answer:

At least 2 points

Step-by-step explanation:

If he throws the dart onto the board, the lowest possible score he can get is two, and if he hits the 4 or 8 point circles, it is still at least 2.

Answer:

-10,-3,1

1,-3,-10

Step-by-step explanation:

We are given that integers are -3,+1 and -10

We have to explain two ways in which we can use a number line to order the given integers.

The two ways are

1.Arrange in increasing order:From least to greatest

2.Arrange in decreasing order: From greatest to least

We know that when we go left side of zero on a number line then the value decreases and when we go right side of zero then the value increases.

1.-10 is smallest integer in the given integers and 1 is a largest integer.

Therefore, -10,-3,1.

2.In decreasing order

1,-3,-10

Answer:

The answer is A. 3 1/3

Step-by-step explanation:

Simplify:

10/3

Then, convert to a mixed fraction:

3 1/3

Hope this helped.

The mathematical expression 5x2/3 = 15/3 x 2/3 = 30/9 = 5 2/3.

Option C is correct.

an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Step 1: Simplify 5x2/3

5x2/3 = (5 x 2)/3

5x2/3 = 10/3

Step 2: Simplify 10/3

10/3 = 3 + 2/3

10/3 = 5 2/3

An expression in math  can also be described as a statement having minimum of two numbers, or variables, or both and an operator connecting them.

Therefore, the correct answer is C.

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Answer:

q = -25[tex]10 +5 = \pm \sqrt{5^2-4*2*q} \\ 225 = 25-8q \\\\8q = -200 \rightarrow q = -\frac {200}8 = -25[/tex]

Step-by-step explanation:

Grab the generic solution of the equation. [tex]\frac 52 = \frac{-5 \pm \sqrt{5^2-4*2*q}}{2*2}[/tex]. Let's isolate the radical, and square both sides.[tex]10 +5 = \pm \sqrt{5^2-4*2*q} \\ 225 = 25-8q \\\\8q = -200 \rightarrow q = -\frac {200}8 = -25[/tex]

Answer:

since we know that x1=2.5

we can just just use vieta's theorem

x1+x2=-b/a

x1*x2=c/a

Answer:

[tex]\frac{c}{a+b}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(0, 0) and (x₂, y₂ ) = C(a +b, c)

m = [tex]\frac{c-0}{a+b-0}[/tex] = [tex]\frac{c}{a+b}[/tex]

Answer:

[tex]\large\boxed{\dfrac{c}{a+b}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points A(0, 0) and C(a + b, c). Substitute:

[tex]m=\dfrac{c-0}{a+b-0}=\dfrac{c}{a+b}[/tex]