In the following diagram, {HI}


start overline, H, I, end overline is parallel to {JK}


start overline, J, K, end overline.

What is the measure of

Angles are not necessarily drawn to scale.

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

Answer:

rational, simplified number is -0.5

Step-by-step explanation:

(see screenshot)

Answer:

Below

Step-by-step explanation:

● Orders of 8 gallons or more can be modeled as: x》 8

● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x

● For orders that are less than 8, the comapny charges 14.78 per gallon

● => 14.78x for x < 8

So the function that represent the situation is the second one

Answer:

See attached

Step-by-step explanation:

13450 = 13000 + 400 + 50

Answer:

6x-21

Step-by-step explanation:

Area of a rectangle is length times width.

3*(2x-7)-

6x-21

Answer:

6x - 21

Step-by-step explanation:

Since area = L x W (Length x Width)

--> 3(2x - 7)

6x - 21

Answer:

Slope: 4.8, x-intercept: -27/4.8, y-intercept: 27

Step-by-step explanation:

To find the slope, use the formula y = mx + b. In this formula, m represents the slope. Since the given equation is based on the above formula, m is 4.8.

To find the x-intercept, set y equal to 0 and solve for x.

y = 4.8x + 27

0 = 4.8x + 27

-27 = 4.8x

-27/4.8 = x

x = -27/4.8

To find the y-intercept, we use the formula y = mx + b again. In this formula, b represents the y-intercept. And, since the equation is based on this formula, b is 27.

(Remember this for future reference: even though the formula says +b, the y-intercept can still be negative).

I hope this helped!

Answer:

Hey there!

We can write a equations here:

3x+y=180

Also, since all of the angles have 3x on the outside, then y must be constant.

3y=180

y=60

Thus, for x, we have 3x+60=180, 3x=120, x=40.

2x+6y

2(40)+6(60)

80+360

440.

Let me know if this helps :)

Answer:

k) the product of ant 2 odd numbers is odd

I don't know.

Let's check um out.

For each choice, I'll try to find an example to show that it's false.

F. The sum of any 2 even numbers is odd.  

    2+2=4. 4 is even. This one is false.

G. The sum of any 2 odd numbers is ood.

    3+3=6.  6 is even.  This one is false.

H. The quotient of any 2 even numbers is odd.

    8÷4=2. 2 is even. 10÷4=2.5.  2.5 is neither odd nor even. This one is false.

J. The quotient of any 2 even numbers is even.

   10÷2=5.  5 is odd.  This one is false.

K. The product of any 2 odd numbers is odd.

    I can't find an example where this is false.

    So I'm gonna say that this is the true one.

Step-by-step explanation:

[tex] {y}^{2} - \frac{1}{ {y}^{3} } [/tex]

factorise out y² ;

[tex] = {y}^{2} (1 - \frac{1}{y} ) \\ \\ = 8 {y}^{2} [/tex]

Volume = length x width x height

Volume = 3 1/4 x 2 x 1 3/4 = 11 3/8 cubic feet

Answer:

11 3/8 ft^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 3 1/4 * 2 * 1 3/4

Change the number to improper fractions

V = (4*3+1)/4  *2 * (4*1+3)/4

   = 13/4 *2* 7/4

Rewriting

   = 13/1 * 2/4 * 7/4

    = 13/1 * 1/2 *7/4

    = 91/8

Changing back to a mixed number

8 goes into 91  11 times with 3 left over

11 3/8 ft^3

Complete question :

A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.

How much will it cost to fill the pool?

Answer:

$71.36

Step-by-step explanation:

Amount charged per cubic meter = $1. 75

Total volume of pool = 1440 ft^3

Using the conversion unit chart :

1 cubic meter = 35.3147 cubic foot

Then we can express the capacity of water held by the pool in cubic metre.

If 1 cubic meter = 35.3147 cubic foot

Then ;

y cubic meter = 1440 cubic foot

y = 1440/35.3147

y = 40.776220 cubic meter

Thus;

Cost of filling the pool will be;

$1.75 × 40.776220

= $71.358386

= $71.36

Answer:

The 2 values that makes the function equal to 18 is 3 and -6

Step-by-step explanation:

First you can convert the quadratic equation from standard form to root form

Step 1: Substitute f(g) = 18

Step 2: Move 18 to the other side to create

0 = g² + 3g - 18

Step 3: Now we rearrange equation from standard form into root form

Step 4: Find what adds to 3 and multiples to -18

-3 and 6 adds to 3 and multiples to -18

Step 5: Now we substitute -3 and 6 into the root equation

0 = (g-3)(g+6)

Step 6: Set the brackets to 0 and solve

g - 3 = 0

g = 3

g + 6 = 0

g = -6

Answer:

-75 m

Step-by-step explanation:

Use sea level as the reference point.  

Initially the position is -50 m.

If the submarine goes up 15 m, then its new position is (-50 + 15) m, or -35 m.

If the sub now descends 40 m, its new position is (-35 - 40) m, or -75 m

Answer:

The first table

x 3 4 6 1 7 8 1 2

y 5 9 3 2 7 6 4 5

Answer:

D

Step-by-step explanation:

add everything up devide by 3

Answer:

C. 1/2 liter

Step-by-step explanation:

First, find the total amount of water by multiplying the amounts of water by the number of bottles, then adding all 3 values together:

1/4(1) = 1/4 liter

1/2(4) = 2 liters

3/4(1) = 3/4 liter

1/4 + 2 + 3/4 = 3 liters

There are 6 bottles in total, if we count the number of dots.

To find how much water would be in each bottle if the water was equally divided, divide the total amount of water by the number of bottles:

3 / 6 = 1/2

= 1/2 liter

Answer:

-2

Step-by-step explanation:

5+14a=9a-5

+5      +5

10+14a=9a

-9a      -9a

10+5a=0

-5a   -5a

10= -5a

÷5   ÷5

2= -a

*-1  *-1

-2=a

Answer:

  70, 140, 280, 350

Step-by-step explanation:

Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.

Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...

So, the four smallest numbers with prime factors of 2, 5, and 7 are ...

  70 = 2·5·7

  140 = 2²·5·7

  280 = 2³·5·7

  350 = 2·5²·7

Answer:

Step-by-step explanation:

Answer:

16x -7 =$13.32

Step-by-step explanation:

$13.32 + $7 = $20.32

$20.32 divided by 16 = $1.27

each cookie cost $1.27

I really hope this help

Answer:- 16x - 7 = 13.32

Also cost of each cookie = $1.27

Explanation:

Let the cost of each cookies be x

ATQ

16x -7 = 13.32

We will mutiply x with 16 because he purchased 16 cookies.

Also he had coupon of $7 which means $7 off which is why -7

And 13.32 is the amount he paid

Now lets solve it

16x - 7 = 13.32

16x = 13.32 + 7

16x = 20.32

x = 20.32/16

x = 1.27

Therefore cost of each cookie is $1.27

please click thanks and mark brainliest if you like :)

Answer: ten Twenty-one

Step-by-step explanation:

10/21

Answer: Brian invested $16000 in Fund B .

Step-by-step explanation:

Let x be the amount Brian invested in Fund B.

Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.

i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320

Profit on Fund B = 1% of x = 0.01x

Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)

= 0.02(8000+x)

As per question,

Combined profit=Profit on Fund A+Profit on Fund B

[tex]\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000[/tex]

Hence, Brian invested $16000 in Fund B .

Here,

x+50°+70°= 180° [°.°Angle sum of triangle]

↪x= 180°-120°

↪x=60°

.°. x = 60°

Now,

Let z be the unknown angle of the second triangle

z+60°+50°=180° [°.° Angle sum of triangle ]

↪z=180°-110°

↪z=70°

. ° . z=70°

Then,

z+x+y= 180°

↪70°+60°+y=180°

↪y=180°-130°

↪y=50°

.°.y = 50°

Answer:

x = 60°, y = 50°

Step-by-step explanation

We know: the angles measures in a triangle add up to 180°.

(look at the picture)

z + 50 + 60 = 180

z + 110 = 180    subtract 110 from both sides

z = 70°

x + 50 + 70 = 180

x + 120 = 180         subtract 120 from both sides

x = 60°

Angles x, y, and z are on one side of a straight line. Therefore they add to 180°.

x + y + z = 180

60 + y + 70 = 180

y + 130 = 180         subtract 130 from both sides

y = 50°

Answer:

1/36

Step-by-step explanation:

it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}

you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...

The probability of rolling a sum of 2 with these dice is 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Pair of dice have= {1,2,2,3,3,4}

Now,

The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.

However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.

This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.

Therefore, the probability will be 1/36.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

This happens when

1 + a b = 17  ==>  a b = 16

With a and b both positive integers, and 16 = 2^4, we can have

• a = 1 and b = 16

• a = 2 and b = 8

• a = b = 4

and vice versa. So there are 5 possible ordered pairs.

Answer:

[tex]\boxed{x =\frac{-3m-3}{2}}[/tex]

Step-by-step explanation:

[tex]3m + 2x=-3[/tex]

[tex]\sf Subtract \ 3m \ from \ both \ sides.[/tex]

[tex]3m + 2x-3m=-3-3m[/tex]

[tex]2x=-3-3m[/tex]

[tex]\sf Divide \ both \ sides \ by \ 2.[/tex]

[tex]\displaystyle \frac{2x}{2} =\frac{-3-3m}{2}[/tex]

[tex]\displaystyle x =\frac{-3m-3}{2}[/tex]

Answer:

x=\frac{-3-3m}{2}

Step-by-step explanation:

1st step: Subtract 3m from both sides. 3m+2x-3m=-3-3m

2nd step: Simplify. 2x=-3-3m

3rd step: Divide both sides by 2. \frac{2x}{2}=-\frac{3}{2}-\frac{3m}{2}

Final step: Simplify. x=\frac{-3-3m}{2}

Answer:

Relationship: As the input increases by 1, the output increases by 3.

Equation: y=3x-1

~Hope this helps~

Answer:

42 + 2/3

Step-by-step explanation:

First, to calculate the sum of an infinite geometric series, our formula is

a₁/(1-r), with a₁ being the first term of the series and r being the common ratio. Therefore, we want to find both a₁ and r.

To find r, we can first determine that 2 * r = a₄ and a₄ * r = a₅, as the ratio separates one number from the next in a geometric series. Therefore, we have

2 * r * r = a₅

2 * r² = 1/8

divide both sides by 2 to isolate the r²

r² = 1/16

square root both sides to isolate r

r =± 1/4. Note the ± because r²=1/16 regardless of whether r = 1/4 or -1/4. However, because all terms are positive, r must be positive as well, or a₄, for example, would be 2 * (-1/4) = -0.5

Therefore, r = 1/4 .

To find the first term, we know that a₁ * r = a₂, and a₂ * r = a₃. Therefore, a₁ * r² = a₃ = 2

a₁ * 1/16 = 2

divide both sides by 1/16 to isolate a₁

a₁ = 2 * 1/ (1/16)

= 2 * 16

= 32

Plugging a₁ and r into our infinite geometric series formula, we have

a₁/(1-r)

= 32  / (1-1/4)

= 32/ (3/4)

= 32/ 0.75

= 42 + 2/3

Answer:

Step-by-step explanation:

P(A and B)=P(A)*P(B)