The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models this situation?

Answers

Answer 1

Answer:

12 = 1/2(x)(5x - 2)

Bonus solution for x = 2.4 ft

Step-by-step explanation:

area = 1/2xh

h = 5x - 2

12 = 1/2(x)(5x - 2)

24 = 5x² - 2x

5x² - 2x - 24 = 0

x² - 0.4x - 4.8 = 0

(x - 2.4)(x + 2) = 0

x = 2.4

Answer 2

Answer:

5x^2 − 2x − 24 = 0

Step-by-step explanation:


Related Questions

There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.

Answers

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

(Solve): 6x^3 -x^2 - 19x - 6 = 0​

Answers

Answer:

Step-by-step explanation:

After some trial and error, we can find that x = 2 is one solution to this problem. We know that then (x-2) is a solution. We can then do polynomial division to get a quadratic equation. We can then solve the quadratic equation to get the other two factors which are -1/3 and -3/2. You can also graph it and find the roots as well. There isn't a really good method to do this and it is more like trial and error.

HELPPP ASAP


The section of the basketball court below needs to be resurfaced. How many square feet of wood do you need to cover the area below? Use 3.14 for pi and round your answer to the tenths place (one decimal place).

Answers

Answer: 680.4 square feet

Step-by-step explanation:

please mark brainiest

I dont Know what to put here
But Anwer Pls

Answers

Answer:

12

Step-by-step explanation:

So, the 24cm, is the diameter, a little circle autonomy here, the diameter is the length across the circle, and the radius is to the mid point, or half-way point, which means that the radius is half the diameter, so, 24 ÷ 2 = 12

hope this helps:)

if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?​

Answers

Answer:

8 bags

Step-by-step explanation:

If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.

The measure of two angles are (3x+50) and (4x - 10). What must be true
about the angles if x = 20? What is the sum of their measures?

Answers

Answer:  The two angles add up to 180 so they are supplementary angles.  

The sum of their measures is 180 degrees.

Step-by-step explanation:

Plug in given value for x.  

x=20

(3x+50)=

(60+50)=110

110

(4x-10)=

80-10=70

70

There are several true things about these angles you can find from this information but I think you are looking for the answer at top.

A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times

exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk

Answers

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

[tex]\sqrt{9} = 9\frac{1}{2}[/tex]

Answers

Step-by-step explanation:

This problem is incorrect

the square root of 9 is two of the same numbers that are multiplied together to get 9 so [tex]\sqrt{9}[/tex]=3

9+1/2=9.5

Hope that helps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Your\ equation: \sqrt{9} = 9\dfrac{1}{2}}[/tex]

[tex]\mathsf{\sqrt{9} = 3^2 = 3\times \bf 3}\\\\\mathsf{\sqrt{9}= \bf 3}[/tex]

[tex]\mathsf{9\dfrac{1}{2}}\\\\\mathsf{9\times2+ 1}\\\\\mathsf{9\times2=\bf 18}\\\\\mathsf{\bold{18} + 1 = \bf 19}\\\\\mathsf{\dfrac{19}{2}=\bf 9.5}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 3\neq 9.5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

select the statement that does not correctly use probability to describe an event

Answers

Answer:

D

Step-by-step explanation:

Probability is, by definition, a number between 0 and 1, which can be expressed as a fraction or a percentage. For example, the odds of getting heads if you throw a fair coin are 50%, or ½. The odds of not getting heads are 1-½=½.

If the probability of something happening is 1, it means that that thing will happen for sure. Likewise, if the probability of an event is 0, it means that the event will never happen.

You can therefore easily understand that it doesn't make sense to have a probability greater than 1, as we have in choice D.

The answer is the fourth one .....

Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=

Answers

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?

Answers

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

A 60-inch flat screen gets its name from the Pythagorean Theorem. The "60" represents the diagonal of the
screen. If the base of the TV is 48 inches, find the height.
Select the correct response:

36 inches

072 inches

54 inches

24 inches

Answers

Answer:

A- 36 inches

Step-by-step explanation:

The equation gives you 60 as a diagonal, so that means that 60 is the hypotenuse. It also gives you 48 as the length of a base.

Putting that into the Pythagorean theorem, you get...

48^2 + ?^2 = 60^2

Now, you need to solve for ?. After solving through the equation and simplifying, you're gonna get 36.

Mark as brainliest if this helped :)

Factorize this question​

Answers

Answer: (3a+5b)(3a−5b)(a+b)(a−b)

Step-by-step explanation:

Factor 9a4−34a2b2+25b4

9a4−34a2b2+25b4

=(3a+5b)(3a−5b)(a+b)(a−b)

Helpppp!!! Please! Thank u!!

Answers

D. If it is all students in your school they will all have the same amount of time allotted for lunch.

Lebron makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how much apple juice does Lebron need to make 4 times the original recipe

Answers

Answer:

For 4 times the original recipe  Lebron needs 12 cups of cranberry juice with  8 cups of apple juice.

Step-by-step explanation:

For 5 cups of punch Lebron needs 3 cups of cranberry juice with 2 cups of apple juice.

For 4 times the original recipe  Lebron needs 3*4= 12 cups of cranberry juice with 2*4= 8 cups of apple juice.

He will get 20 cups of punch.

We multiply each ingredient of the original recipe by the factor 4 to get the required ingredients of the 4 times product as the original product.

The product of a number and -3 increased by 8 is no less than 35.

Answers

Answer:

x = -9

Step-by-step explanation:

-3x + 8 =35

-3x = 27

x = -9

Answer:

x=-9. Success to the homework.

Hi can anyone help me with this question without the use of calculators please?

Answers

Answer:

[tex]\frac{11}{6}[/tex] units

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

6x² - 7x - 3 = 0 ← in standard form

(3x + 1)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Find the difference of the 2 x- intercepts using absolute value

distance = | [tex]\frac{3}{2}[/tex] - (- [tex]\frac{1}{3}[/tex] ) | = | [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{3}[/tex] | = | [tex]\frac{11}{6}[/tex] | = [tex]\frac{11}{6}[/tex]

Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.

What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.

Answers

Answer:a

Step-by-step explanation:

Answer:

y = (10/9)x - 138/9

Height of 164.7 cm for an arm span of 162 cm

Step-by-step explanation:

First we find the slope.  (178 - 168)/(174 - 165) = 10/9

Now use the point-slope form of a line

y - 168 = 10/9(x - 165)

9y - 9(168) = 10(x - 165)

9y - 1512 = 10x - 1650

9y = 10x - 138

y = (10/9)x - 138/9

If the arm span is 162 cm, then x = 162

y = (10/9)(162) -138/9

= 180 - 15.3

 = 164.7 cm

What is the answer? i dont get it

Answers

I think it’s 92% not to sure tho
once you graph it, it’s exponential decay. (can I get brainliest?)

The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.

Answers

Answer:

Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:


In the accompanying diagram of circle O, mAB = 64 and
m What is the measure of CD?
A 104°
B 80°
C 52°
D 40°

Answers

Answer:

D 40°

Step-by-step explanation:

52= X + 64 /2

*2.      *2

104 = X + 64

-64        -64

40 =X

The radius of a circle is 17 in. Find its area in terms of π.

Answers

A≈907.92in²

Because:

A=πr2=π·172≈907.92028in²

Answer:

289π or 907.46 in

Step-by-step explanation:

The formula for area of a circle is π r².

The radius is 17, so the first step is 17².

17²= 289

Next, you multiply 289 by pi (3.14).

3.14 x 289 = 907.46.

Therefore, the area in terms of pi is 289π or 907.46 in.

Need po ang answers ASAP nganong po exam namin

Give the opposite of each given interger
-56

-340

+39

+201

+1124

Identify what solid figure is being formed by combining the following plain figures

Six squares

Four rectangles and two squares

One rectangle and two circle

Eight triangles

One square and four triangles

Answers

Opposite of the integers:
+56
+340
-39
-201
-1124

Solid figures:

Cube
Rectangular prism
Cylinder
Octahedron
Triangular pyramid

Write an inequality for this graph

Answers

x > -75

keystrokes keystrokes

Answer:

the inequality would be x > -75

EFGH is translated 3 units to the left and 7 up. what are the coordinates of H?

Answers

Answer:

B

Step-by-step explanation:

The coordinates of H will be (3,5)

The formula for this is

(x,y) —> (x-3, y+7)

This is because the x value is what moves left and right and the y value moves up and down

Which of the following shows a proper representation of vector addition using the head-to-tail method? Vector u + v goes up and to the right. 2 other vectors share the same origin and go to the left. Vector u + v goes up and to the right. 2 other have their terminal points on vector u + v. Vector u + v goes up and to the right. Another vector shares the same origin and shares a terminal point with another vector origin. The second vector shares a terminal point with vector u + v. Vector u + v goes up and to the right. 2 other vectors share the same origin. One goes up and to the right and the other up and to the left.

Answers

Answer:

3rd graph

Step-by-step explanation:

Edge 2021

Answer:

3rd graph

Step-by-step explanation:

Classify this triangle by its sides and angles.

Answers

Answer:

obtuse equilateral

Step-by-step explanation:

shapes are easy :)

Answer:

obtuse scalene      give crdit to the answer above

Factorice lo siguiente
5

Answers

Answer:

61

Step-by-step explanation:

marque esta respuesta como la más inteligente

HELP PLEASE HURRY!!!!!!!!!!!!!

Answers

Answer:

i would say its b

Step-by-step explanation:

B. y = x+1
graph it in demos and look at the intercepting points

7/3 + x=3;x math I really need help

Answers

Given:

The equation is:

[tex]\dfrac{7}{3}+x=3[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\dfrac{7}{3}+x=3[/tex]

Subtract both sides by [tex]\dfrac{7}{3}[/tex].

[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]

[tex]x=\dfrac{9-7}{3}[/tex]

[tex]x=\dfrac{2}{3}[/tex]

Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.

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