Write an absolute value equation to satisfy the given solution set shown on a number line

Answer:

105°

Step-by-step explanation:

EFGH is an isosceles trapezoid (a trapezoid with congruent legs is an isosceles trapezoid)

∠G=75° (base angles of an isosceles trapezoid are congruent)

∠F=105° (same-side interior angles theorem)

Answer:

  y²/324 -x²/36 = 1

Step-by-step explanation:

Where (0, ±b) are the ends of the transverse axis and y = ±(b/a)x describes the asymptotes, the equation of the hyperbola can be written as ...

  y²/b² -x²/a² = 1

Here, we have transverse axis endpoints of (0, ±18) and asymptotes of y = ±3x, so we can conclude ...

  b = 18

  b/a = 3   ⇒   a = 18/3 = 6

The equation of the hyperbola in standard form is ...

  y²/324 -x²/36 = 1

Answer: 425

Step-by-step explanation:

Think of this problem as 4% of a number equals 17

since in math, the word 'of' usually means multiplication, we can think of it that way.

Also, 4% = 0.04

[tex]x*0.04=17[/tex]

[tex]0.04x=17[/tex]

[tex]\frac{0.04x}{0.04} =\frac{17}{0.04}[/tex]

[tex]x=425[/tex]

Answer:

⇒  The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0

∴  We get, a=1b=−k,c=9

⇒  It is given that roots are real and distinct.

∴  b2−4ac>0

⇒  (−k)2−4(1)(9)>0

⇒  k2−36>0

⇒  k2>36

⇒  k>6 or k<−6

∴  We can see values of k given in question are correct.

Step-by-step explanation:

chicken nuggets are so bussing that the answer is c

Answer:

x= 14

Step-by-step explanation:

First (and only) we subtract 17 from both sides :

17 + x - 17 = 31 - 17

x = 31 - 17

x = 14

Hope this helped and have a good day

The answer is 14.

To solve this, only one step is required, which is : Subtract 17 from each side.

Answer:

3 hours

Step-by-step explanation:

When the ships meet each other, that means the the distance travelled for both ships are the same, that is where the 2nd ship will overtake the ship.

Distance = Speed * Time

So, given information from the question, and letting x be the time in hours (from when the 1st ship departs), we can deduce:

Distance travelled of 1st ship = Distance travelled of 2nd ship

30x = 40(x-1)

30x = 40x - 40

-10x = - 40

x = [tex]\frac{-40}{-10}[/tex]

= 4

Since we are calculating based on the 2nd ship,

Time taken for 2nd ship to overtake first ship = x - 1 = 4 - 1 = 3 hours.

Answer:

40

Step-by-step explanation:

[tex]\frac{RW}{24}=\frac{30}{18} \\ \\ RW=40[/tex]

Answer:

See below

Step-by-step explanation:

Salary (y)       =    30 000   +  50 x        

y = 30 000 + 50x     where x is the number of sales

How many sales for 50 000 ?

50 000 = 30 000 + 50 x

20 000 = 50 x

x = 400 sales

I. Model Problems

A linear model is a linear equation that represents a real-world

scenario. You can write the equation for a linear model in the same way

you would write the slope-intercept equation of a line. The y-intercept

of a linear model is the quantity that does not depend on x. The slope is

the quantity that changes at a constant rate as x changes. The change

must be at a constant rate in order for the equation to be a linear model.

Example 1 A machine salesperson earns a base salary of $40,000 plus

a commission of $300 for every machine he sells. Write an equation

that shows the total amount of income the salesperson earns, if he sells

x machines in a year.

The y-intercept is $40,000; the salesperson earns a $40,000 salary in a

year and that amount does not depend on x.

The slope is $300 because the salesperson’s income increases by $300

for each machine he sells.

Answer: The linear model representing the salesperson’s total income

is y = $300x + $40,000.

Linear models can be used to solve problems.

Example 2 The linear model that shows the total income for the

salesperson in example 1 is y = 300x + 40,000. (a) What would be the

salesperson’s income if he sold 150 machines? (b) How many

machines would the salesperson need to sell to earn a $100,000

income?

(a) If the salesperson were to sell 150 machines, let x = 150 in the linear

model; 300(150) + 40,000 = 85,000.

Answer: His income would be $85,000.

(b) To find the number of machines he needs to sell to earn a $100,000

income, let y = 100,000 and solve for x:

Answer:

x³+3x²-28x

Step-by-step explanation:

(x-4)(x-0)(x+7)

(x-4)(x)(x+7)

(x-4)(x+7)=(x²+3x-28)

(x²+3x-28)(x)=x³+3x²-28x

Hi

if he has 24 point he scored 24/ 6 = 4 times

As he score points every 11 ennemies,

He had : 4*11= 44 ennemies.

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{1000000} \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{10 {}^{6} } \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = {}{10 {}^{ - 6} } \: \: m {}^{3} [/tex]

Answer:

8.5 years

Step-by-step explanation:

It will take 102 more payments

8.5 years

Interest will be $26,239

It would take approximately 15 years to pay back the loan of 95000 which is compounding monthly and the rate of interest is 6%.

Compound interest is basically the interest which is calculated on the primcipal with addition to aggregate interest. The formula of sum after compounding is as under:

S=P[tex](1+r/n)^{nt}[/tex] in which P is principal amount, r is rate per annum, n is number of times of compounding and t is time period.

We have been given that the amount of loan is $95000, installment is $1200 , rate of interest is 6% and it is compounded monthly.

First of all we have to find the effective rate=6%/12=0.005.

The future value of 95000 at a rate of 6% compunded monthly should be equal to the amount of all installments. So,

95000[tex](1+0.005)^{12n}[/tex]=12*1200*n

95000[tex]1.005^{12n}[/tex]=14400n

[tex]1.005^{12n}[/tex]=14400n/95000

[tex]1.005^{12n}[/tex]=0.1515n

We have to make graph of this to find the value of n which after graphing will come approx 15.

Hence it would take 15 years to pay back loan amount.

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Answer:

Equation of a line has a form as below:

y=ax+b

Given:

b ( the y intercept)= -5

a ( the slope)= -3

so, y= -3x -5 is the equation of the line.

Please give me Brainliest [:)

The area of the square in terms of x unit is x²/ 2

The expression for the diagonal of a square is written as'

d^2=s^2+s^2

Where

But from the given question we have that the diagonal of the said square is 'x'

Now, let's substitute the values into the expression of the diagonal given above,

d^2=s^2+s^2

d² = s² + s²

We have,

x² = s² + s²

Collect and add like terms

x² = 2s²

But we know that s² represents the area of the square

So,

x² = 2 × area

Make 'area' subject of formula

Area = x²/ 2

Now, we can say that the area of the square in terms of x units is x²/2

Therefore, the area of the square in terms of x unit is x²/ 2

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Algebraic expressions are mathematical statements that consist of both number(s) and alphabet(x). Thus the number of stamps in the book is 66[tex]\frac{43}{60}[/tex] (67).

Algebraic expressions are mathematical statements that consist of both number(s) and alphabet(x). Majorly, the alphabet in the expression is referred to as the unknown value which has to be determined.

When the power of any of the alphabets contained in an algebraic expression is more than one, then it can be referred to as a polynomial.

In the given question, let the number of stamps in the book be represented by N.

So that;

N - 5/12 + 24 + 15 + 3/10 + 27 = 0

N - (5/12 + 24 + 15 + 3/10 + 27) = 0

N - [tex]\frac{8006}{120}[/tex] = 0

N - 66[tex]\frac{43}{60}[/tex] = 0

N = 66[tex]\frac{43}{60}[/tex]

   = 66.72

N ≅ 67

Therefore the number of stamps in the book is approximately 67.

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The implied enterprise value of Snap Inc., calculated using the assumptions and acquisition premium provided, is $91,669

Share Price, P = 44.29

Premium on the acquisition, p = 20%

Therefore, effective share price for acquisition, P* = P x (1 + p) = 44.29 x (1 + 20%) = $ 53.15

Number of shares outstanding, N = 1,734 MM

Equity value, E = P* x N = 53 x 1,734

= $92,158.63 MM

Net Debt, D = - 496

Hence, the implied enterprise value:

= Equity value + net debt

= 92,158.63 + (- 496)

= $$91,669

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Answer:

6x<48

Step-by-step explanation:

ik its this one because theres 48 players and 6 teams both are even numbers so if you did 48÷6x you would get 8 but theres fewer than 48 kids

Answer:

If the question asked mixed fraction:

7/3 = 2 1/3

4/2 = 2

Step-by-step explanation:

I converted it to mixed fraction because it is already improper fraction.

The system of inequalities has Infeasible solutions option (B) Infeasible is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality:

2x + y ≤ 5

3x + y ≤ 12

First plot the above two inequality on a coordinate plane.

As we can see the intersection region on a coordinate plane for both the inequality:

f(x, y) = 2x + 2y

As we can see there is so many points in the intersection region for the above function so there will no single solution.

Thus, the system of inequalities has Infeasible solutions option (B) Infeasible is correct.

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[tex]y = \frac{ - 1}{4} x + \frac{1}{2} [/tex]

Answer:

80

Step-by-step explanation:

Let the number of adult tickets sold be a and the number of student tickets sold be s.

Substituting the first equation into the second,

[tex]2a+a-20=220 \\ \\ 3a-20=220 \\ \\ 3a=240 \\ \\ a=80[/tex]

Considering the given quadratic equation for the number of automobiles, we have that:

A) The equation to be solved is: x² + 12x - 133 = 0

B) The first year was of 1987.

A quadratic function is given according to the following rule:

[tex]y = ax^2 + bx + c[/tex]

The solutions are:

In which:

[tex]\Delta = b^2 - 4ac[/tex]

The number of automobiles, in x years after 1980, is modeled by:

A(x) = 2x² + 24x + 300.

The amount is of 566,000 when A(x) = 566, hence the equation is:

2x² + 24x + 300 = 566

2x² + 24x - 266 = 0

x² + 12x - 133 = 0

The coefficients are a = 1, b = 12, c = -133, hence:

Time is a positive measure, hence we take the solution of 7, 1980 + 7 = 1987, which is the year.

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Answer:

5. P = 23 m

   A =  15 [tex]m^{2}[/tex]

6. P = 24.4 in

   A = 15.3 [tex]in^{2}[/tex]

Step-by-step explanation:

Area formula of a triangle is A = 1/2 bh

Area formula of a parallelogram is A = bh

5. The height of a triangle is perpendicular to the base.

    A = 1/2 * 10 * 3

    A = 15 [tex]m^{2}[/tex]

6. The height of the parallelogram is also perpendicular to the base.

    A = 9 * 1.7

    A = 15.3 [tex]in^{2}[/tex]

Perimeter means you add all the side lengths.

5. The side lengths are 5m, 8m, and 10m. Adding those together, you get 23m.

6. A parallelogram has congruent opposite sides. That means your side lengths are 9 in, 3.2 in, 9 in and 3.2 in. Adding those together, you get 24.4 in.

Answer:

Length = 30ft, Width = 5ft

Step-by-step explanation:

Let x be the width.

Area of Rectangle = Length * Width

Given from the information in the question,

Length = 6x ft

Width = x ft

Substitute the values into the formula:

6x * x = 150

[tex]6x^{2}[/tex] = 150

[tex]x^{2} =\frac{150}{6}[/tex]

[tex]x^{2} =25[/tex]

[tex]x=\sqrt{25}[/tex]

x = 5 ft.

Therefore,

Length = 6 * 5 = 30ft

Width = 5 ft.

Given the height of the person, angle of elevation and distance from the building, the height of the building is 60 feet.

Given the data in the question;

Since the scenario depicts a right angle triangle, we use trigonometric ratio.

tanθ = Opposite / Adjacent

We height of the building from the eye level x

Substitute given into the equation,

tan( 35 ) = x / 80ft

x = tan( 35 ) × 80ft

x = 0.7002075 × 80ft

x = 56ft

Now, to get the height of the building, we add the height of the person and the height of the building from the eye level of the person.

Height of building = x + 4ft

Height of building = 56ft + 4ft

Height of building = 60ft

Therefore, given the height of the person, angle of elevation and distance from the building, the height of the building is 60 feet.

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Answer:

About 1/4 scored higher and 3/4 scored lower

Step-by-step explanation:

84 is on the right side line

Each line represents 25 % of the score

It is 75 percent ( 3 lines) of the way

She scored higher than 75% of the students and lower than 25% of the students

About 1/4 scored higher and 3/4 scored lower

Using linear functions, we have that:

A linear function is modeled by:

y = mx + b

In which:

We consider the initial values as the y-intercepts. Randall's house decayed 58 thousand dollars in 3 years, hence the slope is:

m = -58/3 = -19.

Hence the function for the value, in thousands of dollars, is:

f(t) = -19t + 234.

Damien's initial value was of 110, and it increased 44 thousand in 3 years, hence the slope is:

m = 44/3 = 14.67

Hence the function for the value of Damien's house, in thousands of dollars, in t years after 2003, is:

g(t) = 14.67t + 110

They will have the same value when:

f(t) = g(t)

-19t + 234 = 14.67t + 110

33.67t = 124

t = 124/33.67

t = 3.68

They will have the same value in 3.68 years since the start of 2000.

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Answer:

20 minutes

Step-by-step explanation:

Rate x Time = jobs

The rate is 3 jugs/ 4 minutes.

The number of jobs is 15

Use T for time

3/4T = 15  Multiply both sides by 4/3 to get the variable T by itself

(4/3) 3/4 T = 15(4/3)

T = 20 minutes

The percentage yield of carbonic acid is 66 percent.

The percentage yield of the  carbonic acid  can be found as follows:

NaHCO₃  →  Na₂CO₃  +  H₂CO₃

Hence, 2.36g sample of NaHCO₃ was thermally decomposed to generate 1.57g of carbonic acid (H₂CO₃)

Using law on conservation, the mass of the reactant is equals to the product.

Therefore,

percentage yield of carbonic acid = 1.57 / 2.36 × 100

percentage yield of carbonic acid = 157 / 2.36

percentage yield of carbonic acid = 66.2447257384

percentage yield of carbonic acid = 66 %

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