58°
(4x+10)°
Find the value of the variable in the isosceles trapezoid.

Complete Question:

Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?

Answer:

Tim has 90 hard cover books

Step-by-step explanation:

Represent the paper books as P and the hard covers as H

The total number of books can be represented as:

[tex]P + H = 447[/tex]

From the first statement, we have:

P = 3 less than 4 times H

This means:

[tex]P = 4H - 3[/tex]

Required

Solve for H

Substitute 4H - 3 for P in [tex]P + H = 447[/tex]

[tex]4H - 3 + H = 447[/tex]

Collect Like Terms

[tex]4H + H = 447 + 3[/tex]

[tex]5H = 450[/tex]

Solve for H

[tex]H = \frac{450}{5}[/tex]

[tex]H = 90[/tex]

Hence:

Tim has 90 hard cover books

Answer:

7.4:1

Step-by-step explanation:

The rate of patrons to advertising dollar is7.4 patrons per dollar.

A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.

Given:

The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.

So, the rate of patrons to advertising

= 18.5 million patrons to $2.5 million

= 18.5/2.5

= 7.4 patrons per dollar

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ6

Answer:

Step-by-step explanation:

ab + cd = e

       cd = e - ab

         d =(e - ab)/d

Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?

Answer:

x, (40,0)

y, (0,15)

hope it helps

Answer:

78

Step-by-step explanation:

hvtyvyuhj7

Answer:

Answer: Brad has been in the team for 8 years. Trust i got it right on the test

Step-by-step explanation:

D: {0, 1, 2, 3}

R: {−3, −2, 2, 5}

The relation is a function.

That's the answer.

-c + 1 > 2

-c > 2-1   Move 1 to subtract.

-c > 1

c < -1      When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.

Thus, the answer is c < -1

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

Answer:

1 2/5 is your answer in decimal form it is 1.4

4+3/5

7/5~Simplify this fraction~

1 2/5~Is your answer after you simplify~

Answer:

7/5, or 1 2/5 if you're looking for a mixed fraction.

Step-by-step explanation:

Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5

Answer: 104

Step-by-step explanation:

I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.

Answer:

the answer I got is -23, please let me know if I am wrong.

Answer:

Yes he is

Step-by-step explanation:

Answer:

Yes! he is

Step-by-step explanation:

:)

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

Answer:

From his starting point of 85 3/4, he descended 17 9/20 meters

Step-by-step explanation:

We want to know how much farther he went down from his starting point.

103 1/5 - 85 3/4

S

tart off by making the denominators of both the numbers the same.

103 1/5 - 85 3/4

103 4/20 - 85 15/20

Make them into improper fractions

2064/20 - 1715/20 = 349/20

Make 349/20 into a mixed fraction

17 9/20

Answer:

Step-by-step explanation:

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

Answer:

27 and 28

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You can count on your fingers if you need to or use a calculator.

Answer:

2+2 is 4

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.

The expression that gives the difference between those temperatures would then be calculated as:

= 70°F - (-225°F)

= 70°F + 225°F

= 295°F

Answer:

220 - a = m

Step-by-step explanation:

a is her age

answer:

the answer is -3 and 8

Step-by-step explanation:

we will place -3 in the equation

(x+3)(x-x)=0

(-3+3)=0 (because -3+3 will cut down together)

we will place two 8(eights) in the equation

(8-8)=0

final answer is

(0)(0)=0

so -3 and 8 fits well in the equation

Answer:

G.) 6

Step-by-step explanation:

The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.

Answer:

See attached image

Step-by-step explanation:

Use the FOIL method

First - multiply the first numbers inside the parentheses (y^2 and -2y)

Outer- multiply the first and last numbers inside the parentheses (y^2 and 7)

Inner - multiply the two numbers next to the closing and opening parentheses (6 and -2y)

Last- multiply the last two numbers in the parentheses. (6 and 7)

Then simplify to put it in standard form.

Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation:

Answer:

50 i think

Step-by-step explanation:

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22