Someone help me with this please

Answer:

289/216

Step-by-step explanation:

add the parentheses first

(2/3+3/4)×(3/6+4/9)=

17/12×17/18

then multiply

17/12×17/18=

286/216

2/3 + 3/4

= 2 × 4/3 × 4 + 3 × 3/4 × 3

= 8/12 + 9/12

= 8 + 9/12

= 17/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

Add: 3/6 + 4/9

= 3 × 3/6 × 3 + 4 × 2/9 × 2

= 9/18 + 8/18

= 9 + 8/18

= 17/18

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 9) = 18. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 9 = 54. In the next intermediate step, the fraction result cannot be further simplified by canceling.

2 = 17/12 × 17/18

= 17 × 17/12 × 18

= 289/216

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(289, 216) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.

[tex] \frac{289}{216} in \: mixed \: fraction \: is \: 1\frac{73}{216} [/tex]

The perpendicular bisector of the of the hypotenuse side forms a right

triangle with the hypotenuse and the longer leg of the of the triangle.

The ratio, of the length of the segment cut from the perpendicular bisector by the hypotenuse and the longer leg to the length of the longer leg, is 1 : 3

Reason:

The given parameters are;

An acute angle of the right triangle = 30°

Let R represent the length of the hypotenuse side, we have;

The length of the longer leg, [tex]L_{ll}[/tex] = R × cos(30°) = [tex]\dfrac{\sqrt{3} }{2} \cdot R[/tex]

The perpendicular bisector forms a right triangle with a leg length = R/2

The length of the hypotenuse formed by the bisector is therefore;[tex]R_{bisector} = \dfrac{\dfrac{R}{2} }{cos(30^{\circ})} = \dfrac{\dfrac{R}{2} }{\dfrac{\sqrt{3} }{2} } = \dfrac{R}{\sqrt{3} }[/tex]

The length, L, of the segment cut by the hypotenuse and the longer leg is therefore;

[tex]L= R_{bisector} \times sin(30^{\circ}) = \dfrac{1}{2} \times \dfrac{R}{\sqrt{3} } = \dfrac{R}{2 \cdot \sqrt{3} }[/tex]

The ratio, of the length of the segment cut from this perpendicular bisector by the hypotenuse and the longer leg to the length of the longer leg, r, is therefore;

[tex]r = \dfrac{L}{L_{ll}} = \dfrac{ \dfrac{R}{2 \cdot \sqrt{3} }}{\dfrac{\sqrt{3} }{2} \cdot R} = \dfrac{2 \cdot R}{2 \cdot \sqrt{3} \times \sqrt{3} \times R } = \dfrac{1}{3}[/tex]

The ratio, of the lengths, r = [tex]\dfrac{1}{3}[/tex], therefore, r = 1:3

Learn more here:

https://brainly.com/question/19235845

Answer:

1:3

Step-by-step explanation:

If the shorter leg is equal to x, AB is 2x and AC is x root 3.

AE is half of AB which is x.

Angle ADE is 90-30=60 degrees.

DE is x/root 3.

[tex]\frac{\frac{x}{\sqrt{3}} }{x\sqrt{3}} = 1:3[/tex]

Answer: 14720 dollars, or $14720

Step-by-step explanation:

128 red tomato plants plus 102 yellow tomato plants = 230 tomato plants in total.

230 plants with 32 tomatoes each = 7360 tomatoes in all

7360 x 2 dollars = 14720 dollars

Step-by-step explanation:

I am not sure who made the dots on the charts, but they are wrong.

y = 1/2 x + 3

domain means all valid values for x.

range means all valid values for y (the functional results).

x = 0

y = 1/2 × 0 + 3 = 3

x = 1

y = 1/2 × 1 + 3 = 3.5

x = 2

y = 1/2 × 2 + 3 = 4

x = 3

y = 1/2 × 3 + 3 = 4.5

x = 4

y = 1/2 × 4 + 3 = 5

so, the range is 3, 3.5, 4, 4.5, 5

y = x - 6

x = 10

y = 10 - 6 = 4

x = 12

y = 12 - 6 = 6

x = 14

y = 14 - 6 = 8

x = 16

y = 16 - 6 = 10

x = 18

y = 18 - 6 = 12

so, the range is 4, 6, 8, 10, 12

Answer:

the answer is B i think

Step-by-step explanation:

Answer:

n-315=1245

Step-by-step explanation:

n stands for the original amount of the loan. Margo has paid $315, so the original number minus what Margo has paid, and the equality is the amount that Margo still owes.

Answer:

s=8r/9

Step-by-step explanation:

2r=5s/2-s/4 multiply both sides by 4

8r=10s-s (5s times 4 = 20s and 20s/2=10s) combine like terms

8r=9s divide by 9 to isolate s

8r/9=s

Step-by-step explanation:

it can not be determined

Answer:

156

Step-by-step explanation:

mulitply them, multiplying 2 negative numbers make a positive one. -12 x -13 = 156

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

All real numbers greater than or equal to 0.

Answer:

B

Step-by-step explanation:

the equal is correctly

3x + 1 = 2x + 4

what was done now :

2 x-blocks (2x) subtracted from the right side, and 1 numbered block subtracted from the left side.

to reestablish balance and equality of both sides, we need to do more the exact same things - just in the other sides.

2 x-blocks subtracted from the LEFT side, and 1 numbered block subtracted from the RIGHT side.

and that is answer B.

Answer:

Each slice of pizza is 4 dollars

Step-by-step explanation:

you need to multiply 2.50$ by 3 to get the total of the drinks and subtract it by the overall total of 31.50 to get the total cost of the pizza or 24.00$. Then you divide 24.00$ by 6 since there are 3 people and they each get 2 slices of pizza giving you 4.00$ per slice of pizza.

Answer:

In ft - 0.52493432098, in cm - 15.9999981034704

Step-by-step explanation:

2/3 x 2/3 x 2/3 x 2/3 x (2.65748ft) -> 81 cm in ft

= 0.52493432098ft -> converted to cm = 15.9999981034704cm

Answer:

7 to the power of 3/2

Step-by-step explanation:

7 is the same as 7¹ and [tex]\sqrt{7}[/tex] is the same as 7 to the power of 1/2

since the bases are both 7, we keep the base and add the exponents when we multiply with exponents, giving us:

7 to the power of 3/2

Step-by-step explanation:

jffkjfkfkro3p2009uh2 that is c my answer

Answer:

the answer is c.

Step-by-step explanation:

there's no explanation

(Apologies since this super late; I hope future students will find this helpful)

Answer:

In a scalene triangle, none of the angles are congruent.

Step-by-step explanation:

As shown, the angles in each scalene triangle all have different measurements. Hence, you can conclude that none of the angles in a scalene triangle are congruent.

You can also see the image below if you'd like to confirm this :)

Answer:

Yes, B is correct, the horizontal line test is used to test if an INVERSE is a function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the number of cups in 80 gallons:

Now multiply the number of cups by 4 since each cup of ice cream  is equivalent of 4 cookies:

Step-by-step explanation:

1 is your answer its law of trig identises

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Answer:

12

Step-by-step explanation:

18/2-3/.75=15/1.25

The average speed of Even between two checkpoints is 9 miles per hour.

The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.

We know that the average speed formula is given as,

Average speed = Total distance / Total time

Running a marathon is Evan. Between two checkpoints, he wants to compute his average speed. He takes 0.75 hours to go to the 3-mile checkpoint and 2 hours to get to the 18-mile milestone.

The average speed is given as,

Average speed = 18 / 2

Average speed = 9 miles per hour

The average speed of Even between two checkpoints is 9 miles per hour.

More about the average speed link is given below.

https://brainly.com/question/12322912

#SPJ5

Consider ABCD is a rhombus

We know that

All sides are equal in rhombus

=> AB=BC=CD=DA

and AC and BD are digonals

Given that

Diagonal and the side of the rhombus are equal.

=> AB = BC = CD = DA = AC

Diagonal AC divides the rhombus into two triangles .

They are ∆ BAC and ∆ DAC

In triangle BAC

BA=BC=AC,(Given)

=> < BAC=<ABC= < ACB =60°………(1)

Similarly in ∆DAC ,

DA=DC=AC

=><DAC=<ACD=<ADC=60°……….(2)

From (1) and (2)

<A=<BAC+< DAC=60°+60°=120°

and

< B= < ABC = 60°.

and

<C=<ACB+<ACD=60°+60°=120°

and

< D =<ADC=60°

Therefore, <A = 120° , <B = 60° ,<C = 120° ,<D = 60°

Answer:-

The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°

Used formulae:-

all sides in a rhombus are equal

Answer:

[tex]18 + ( - 30) = 18 - 30 = - 12[/tex]

I hope I helped you^_^

Answer:

(a) is your answer.

Step-by-step explanation:

IT IS ASSOCIATIVE PROPERTY.

Answer:

Step-by-step explanation:

Since bases are parallel, C and D are supplementary angles:

Given :-

To find :-

Answer :-

As we know that ,

Here ,

So that ,

[tex]\\ \sf\longmapsto -5pq(3p)(6q)[/tex]

[tex]\\ \sf\longmapsto -5pq(18pq[/tex]

[tex]\\ \sf\longmapsto -90(pq)^2[/tex]

[tex]\\ \sf\longmapsto -90p^2q^2[/tex]

Answer:

15

Step-by-step explanation:

if he walks 6 kilometres per hour multiply 6 times 2 and you get 12 and he walked for half an hour and half of 6 is 3 so 12 plus 3 equals 15

Answer:

15 km

Step-by-step explanation:

given:

1 hour=6 km

9:30--12:00=2.5 hours

•°•2.5×6=15 km

bathroom

Step-by-step explanation:

Answer:

The slope-intercept form of the given line is: y = -1/3x+1

Step-by-step explanation:

Answer:

85/10 = 8.5

11/6 = 1.83333333

Step-by-step explanation:

Step-by-step explanation:

change the ÷ into × flip the number too.

[tex] \frac{85}{10} \div \frac{11}{6} = \frac{85}{10} \times \frac{6}{11} [/tex]

Reduce the fraction with 5

[tex] \frac{85}{10} \times \frac{6}{11} = \frac{17}{2} \times \frac{6}{11} [/tex]

Reduce the numbers with the greatest common factor 2

[tex] \frac{17}{2} \times \frac{6}{11} = \frac{17}{1} \times \frac{3}{11} [/tex]

Just multiply now, To multiply the fractions , multiply the numerators and denominators separately

[tex] \frac{17 \times 3}{1 \times 11} = \frac{51}{11} [/tex]

Solution :

[tex] \frac{51}{11} [/tex]

Alternative form:

[tex]4 \frac{7}{11}[/tex]

[tex]4.63[/tex]

your welcome :) Mark me brainliest