MATHEMATICS Proportion Х Y Z 145) If line XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ? A) 12 in B) 24in C) 48in D) 72 in 147) If line YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY? A) 3ft B) 6ft C) 9ft D) 12ft 148) If line YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY? A) 3in B) 27in C) 2ft D) 18in​

Answer:

x<5   or  x<3/2

Step-by-step explanation:

2[tex]x^{2}[/tex]-13x+15<0

2[tex]x^{2}[/tex]-10x-3x+15<0

2x(x-5)-3(x-5)<0

(x-5)(2x-3)<0

x-5<0  or 2x-3<0

x<5  or  x<3/2

Answer:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]

Step-by-step explanation:

Step 1 - Simplify by expanding the brackets:

[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]

Step 2 - Subtract 8 from both sides so the equation equals 0:

[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]

Step 3 - Use the quadratic formula:

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]

Plug variables in:

[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]

[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]

So x is either:

[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]

[tex]x = 2[/tex]

Or:

[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]

[tex]x = \frac{4}{5}[/tex]

Hope this helps!

Answer:

the answer is c

Step-by-step explanation:

its the right answer lol

Answer:

(C) Formal Education is the best way to improve people's lives

Personally I thought it was (D) but now that I think about it...well yeah

Answer:

[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]

Step-by-step explanation:

→ Find the gradient

[tex]\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}[/tex]

→ Write into y = mx + c format

[tex]y=-\frac{2}{5} x+c[/tex]

→ Substitute in ( 3 , 6 )

[tex]6 = -\frac{6}{5} +c[/tex]  ∴ [tex]c = 6+\frac{6}{5} =\frac{36}{5}[/tex]

→ Rewrite into y = mx + c format

[tex]y=-\frac{2}{5} x+\frac{36}{5}[/tex]

It will take the ball 4.0625secs to stay in the air

The maximum height of the ball is 264.0625m

Given the function representing the height reached by the golf expressed as;

h(t) = -16t^2 + 130t

The velocity function is expressed as:

v(t) = -32t + 130

At maximum height, the velocity of the ball will be zero, i.e v(t) = 0

0 = -32t + 130

32t = 130

t = 130/32

t = 4.0625

Hence it will take the ball 4.0625secs to stay in the air

b) Substitute t = 4.0625 into the height function to have:

h(t) = -16t^2 + 130t

h(t) = -16(4.0625)^2 + 130(4.0625)

h(4.0625) = -264.0625 + 528.125

h(t) = 264.0625m

Hence the maximum height of the ball is 264.0625m

Learn more on velocity function here: https://brainly.com/question/10962624

Answer:8

Step-by-step explanation:

Answer:

It is the third one

Step-by-step explanation:

Answer:

3 x 26 = 78

Step-by-step explanation:

It's quite simple, when you look at the problem, it states Juan at 26 carrots. Carmen on the other hand ate 3 times as much. For the answer choices, they put Carmen's 3 first and Juan's 26 second.

Answer:

a 'term'

Step-by-step explanation:

3r means the constant 3 multiplied by the variable 'r'

Answer:

13

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]a^2+b^2=c^2[/tex]

Substitute values of a and b:

[tex]5^2+12^2=25+144=169[/tex]

[tex]c^2=169\\c=13[/tex]

The length of the missing side is 13.

Answer:

3

Step-by-step explanation:

bookstore is two blocks east of town hall: 0+2=2

the hardware store is three blocks east of the bookstore: 2+3=5

the bank is eight blocks west of the hardware store: 5-8=-3

place an empty store in the opposite location of the bank: opposite of -3 is 3

Answer is A. 101°

Step-by-step explanation:

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

Answer:

D

Step-by-step explanation: srry if im wrong

Length of larger piece be x

x=12m

[tex]\\ \sf\longmapsto 4x+5=4(12)+5=60+5=65m[/tex]

Total length=65+12=77m

The length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.

Given that length of the smaller piece is 12 meters.

The length of the smaller piece is 5 meters greater than 4 times the length of the larger piece.

Let's represent the length of the larger piece as "x."

Length of the smaller piece = 4 times the length of the larger piece + 5

12 = 4x + 5

Subtracting 5 from both sides:

12 - 5 = 4x

7 = 4x

Dividing both sides by 4:

7/4 = x

1.75 = x

So, the length of the bigger piece is 1.75 meters.

To calculate the total length of the carpet, we add the length of the smaller piece and the length of the bigger piece:

Total length of the carpet = Length of the smaller piece + Length of the bigger piece

Total length of the carpet = 12 + 1.75

Total length of the carpet is approximately 13.75 meters.

Therefore, the length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.

To learn more on Equation:

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Answer:

7

Step-by-step explanation:

as -7a^5c^2 term has two cofficient a and b and each have power.by adding power of one term we get 7

31=1-(5/9)x

30=-(5/9)x

x=54

The answer is 54 people.

hope this helps :)

[tex] \frac{ {4x}^{2} - 100}{4x(x - 5)} \\ = \frac{4( {x}^{2} - 25) }{4x(x - 5)} \\ = \frac{4 ( {x)}^{2} - ( {5)}^{2} }{4x(x - 5)} \\ = \frac{4(x - 5)(x + 5)}{4x(x - 5)} \\ cancel \: \: \: out \: \: \: (x - 5) \: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{4(x + 5)}{4x} \\ cancel \: \: \: out \: \: \: 4\: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{x + 5}{x} \\ = \frac{x}{x} + \frac{5}{x} \\ = 1 + \frac{5}{x} [/tex]

[tex]1 + \frac{5}{x} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

1. (-4, -2) (4, 0)

   (0 + 2)/(4 + 4)= 2/8= 1/4

2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2

3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2

4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2

Answer:

x - 5 = 0

Step-by-step explanation:

x - 5 = 0

Add 5 on both sides,

x - 5 + 5 = 0 + 5

x = 5

The equation whose solution is 5,

" x - 5 = 0 "

Answer:

x-5=0 right answer

kkkkkksssxcvbb

Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.

Step-by-step explanation:

Answer:

-20p - 7

Step-by-step explanation:

f(x)=8-5x

f(4p+3) = 8 - 5(4p + 3)

= 8 - 20p - 15

= -20p -7

Answer:

30%

Step-by-step explanation:

Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems

Math:

Amount of people you had problems / Amount of people who bought the new car.

900 / 3000 = 0.3

Now you need to multiply by 100% (because % in this case is a unit/measurement)

0.3 * 100% = 30%

Answer:

option c

Step-by-step explanation:

because 2x +1= 0

2x/2= -1

x= -1/2

Answer:

24

Step-by-step explanation:

take theL.C.M. of 4,6,8.

4=2×2

6=2×3

8=2×2×2

L.C.M.=2×2×2×3=24

Answer:

0.6887

Step-by-step explanation:

Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.

Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".

According to the question,

Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.

Adam's  distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.

In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.

Normal distribution z =   (x-μ)/σ       x ~ (μ,σ)

When x = 108

z = (123 - 108)/47  [Adam's  distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]

= 0.3191

P(x > 108) = P(z > - 0.3191)

                = 1 - 0.3191   [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]

                = 0.6887

Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.

Learn more about Normal distribution here

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Answer: D. The quadratic parent function.

Step-by-step explanation:

Quadratic functions have a parabola shape like the graph shown in the image.

Answer:

6[tex]\frac{2}{3}[/tex] inches tall

Step-by-step explanation:

4:6 = x:10

We can set it up like this:

[tex]\frac{4}{6}=\frac{x}{10}[/tex]

And then cross multiply & solve:

40 = 6x

6[tex]\frac{2}{3}[/tex] = x

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

700 liter

Step-by-step explanation:

because 1000 * 7/10 is 700

Answer:

-3

Step-by-step explanation:

that’s where the line intercepts with the y axis

Answer:

-3,0 is y intercept good luck

Step-by-step explanation:

if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1

64¹ = 64.