17/6 + 4/3 fractions

[tex]\pink{\sf Third \: side \: of \: the \: triangle = 45}[/tex]

As, the given triangle is a right angled triangle,

Hence, We can use the Pythagoras' Theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

Here,

In given triangle,

Now, by Pythagoras' theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

[tex] \sf : \implies (51)^{2} = (24)^{2} + P^{2}[/tex]

[tex] \sf : \implies 51 \times 51 = 24 \times 24 + P^{2} [/tex]

[tex] \sf : \implies 2601 = 576 + P^{2}[/tex]

[tex] \sf : \implies P^{2} = 2601 - 576[/tex]

[tex] \sf : \implies P^{2} = 2025[/tex]

By squaring both sides :

[tex] \sf \sqrt{P^{2}} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{2025}[/tex]

[tex] \sf : \implies P^{2} = \sqrt{(45)^{2}}[/tex]

[tex] \sf : \implies P^{2} = 45 [/tex]

[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}[/tex]

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sorry for bad picture

Step-by-step explanation:

hope it helps you have a great day keep smiling be happy stay safe

Assuming you meant x to the 2nd power:

Factor: 25x2−121

25x2−121

=(5x+11)(5x−11)

Answer:

(5x+11)(5x−11)

Answer:

As a fraction = [tex]\dfrac{30}{100}[/tex]

As a decimal = 0.3

Step-by-step explanation:

Recall that: The total yard of a football field = 100 yards

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,

As a fraction;

Tristan run can be represented as = number of run from goal-line/ total length of the field

= [tex]\dfrac{30}{100}[/tex]

As a decimal= 0.3

If the length of AC equals 50, the length of the midsegment DE is 25.

Answer:

I think its -12 and increasing, but i may be wrong. Sry

Step-by-step explanation:

Answer:

The slope of g(x) is less than the slope of f(x)

Step-by-step explanation:

Find the slopes of both lines with rise/run

f(x): 3/1 = 3

g(x): 2/4 = 1/2

The slope of g(x) is less than the slope of f(x)

Answer:

B

Step-by-step explanation:

Answer:

6

....................................

Answer:

-3.5

Step-by-step explanation:

Slope of the line

[tex] = \frac{ - 17 - 18}{15 - 5} = \frac{ - 35}{10} = - 3.5 \\ [/tex]

Answer:

12 litres

Step-by-step explanation:

The area to be covered is

A = 6 × 3 = 18 m²

Divide the area by 1.5 for required amount of paint, that is

18 ÷ 1.5 = 12 litres

Answer:

5/2 is your answer

Step-by-step explanation:

Answer:

-(3/7)m<21

m>21*-(7/3)

m>-7*7

m>-49

Answer:

Ty :D

Step-by-step explanation:

School is hard

Answer:

3a+b

3(4)+3

12+3

15

Step-by-step explanation:

You substitute the variables with the given numbers. I think this is correct.

Answer:

The formula of circumference in a circle is 3.14 times diameter.

Step-by-step explanation:

3.14×20=62.8

The circumference is 62.8

Answer:

Step-by-step explanation:

1S. JM bisects ∠ KJL and  ∠JMK ≅ ∠JML

1R. Given

2S. ∠KJM ≅ ∠LJM

2R. Angle bisectors form ≅ ∠s

3S. JM≅JM

3R. Reflexive Propriety ( segment is ≅ with itself)

4S. ΔJMK ≅ΔJML

4R. ASA theorem of congruency

5S. JK≅JL

5R. Coresponding parts of congruent Δs are congruent (CPCTC)

Answer:

Best answer would be D

Step-by-step explanation:

For A, the statement is only true with x as 1

For B, other values for x can make the equation wrong

And for C, it's just wrong.

Answer:

B.

Step-by-step explanation:

jason is filling up a 3/4 gallon pitcher. the one he has to fill it up with is 1/3 of a gallon.

1/3 * x = 3/4

x/3 = 3/4

3 (x/3) = 3 (3/4)

3x/3 = 9/4

x = 9/4

9/4 is 2.25 so the answer is B

Answer:

6 + 21r

Step-by-step explanation:

3 ( 2 + 7r )

3 ( 2 ) = 6

3 ( 7r ) = 21r

6 + 21r

Hope this helps dude ^-^

Answer: 6 + 21r

Step-by-step explanation:

distribute the 3 to each thing in the parentheses

so 3(2 + 7r) becomes

3(2) + 3(7r)

6 + 21r

Answer:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches

Step-by-step explanation:

Let fabric used on each headband = [tex]h[/tex] inches

Let fabric used on each wristband = [tex]w[/tex] inches

Number of players for which headband is made = 32

Fabric used on 32 players = 32[tex]h[/tex] inches

Number of coaches for which headband is made = 3

Fabric used on 3 coaches = 3[tex]h[/tex] inches

As per question statement:

Total fabric used on headbands = 777.35 inches

[tex]32h + 3h = 777.35\\\Rightarrow 35h = 777.35 inches \\\Rightarrow h = 22.21\ inches[/tex]

Number of players for which wristband is made = 32

As per question statement:

Fabric used on wristbands = 301.76 inches

[tex]32w = 301.76\\\Rightarrow w = 9.43\ inches[/tex]

Therefore, the answer is:

Fabric used on a headband for each player = 22.21 inches

Fabric used on a wristband for each player = 9.43 inches

Answer:

10 burgers

Step-by-step explanation:

[tex]{3.375pounds}(\frac{12 burgers}{3.99pounds})=(\frac{xburgers}{3.375pounds}){3.375pounds}\\xburgers=10.15\\[/tex]

so you get 10 burgers

or you could approach it

[tex]\frac{3.375}{(1/3)} =[/tex]3.375×3=10.125

Answer:

x=8, y=73/3

Step-by-step explanation:

they ask to solve by substitution so from second equation find y

4x-3y= -41 isolate y

4x+41 = 3y divide both sides by 3

(4x+41)/3= y substitute this y in the first equation

5x+2y = -34

5x+2(4x+41)/3 = -34 distribute and find the common denominator

3*5x+(8x+82)/3 = -34

15x+8x+82=-34*3 cross multiply

23x = -102-82

x=-184/23=8

y=(4*8+41)/3=73/3 is about 24.333..

Answer:

a

Step-by-step explanation:

Answer:

2) a trapezoid

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.

Answer:

4x + 8 = 7.2 + 5x

1. 4x - 4x + 8 = 7.2 + 5x - 4x

2. 8 = 7.2 + x

3. 8 - 7.2 = 7.2 - 7.2 + x

4. 0.8 = x

Step-by-step explanation:

Final Answer: [tex]x = 0.8[/tex]

Steps/Reasons/Explanation:

Question: Equation with variables on both sides: decimals & fractions [tex]4x + 8 = 7.2 + 5x[/tex].

Step 1: Subtract [tex]4x[/tex] from both sides.

[tex]8 = 7.2 + 5x - 4x[/tex]

Step 2: Simplify [tex]7.2 + 5x - 4x[/tex] to [tex]7.2 + x[/tex].

[tex]8 = 7.2 + x[/tex]

Step 3: Subtract [tex]7.2[/tex] from both sides.

[tex]8 - 7.2 = x[/tex]

Step 4: Simplify [tex]8 - 7.2[/tex] to [tex]0.8[/tex].

[tex]0.8 = x[/tex]

Step 5: Switch sides.

[tex]x = 0.8[/tex]

~I hope I helped you :)~

Answer:

than that means the cards are not turned over

im sorry i didnt really get you question

Step-by-step explanation:

There is 1/2 of a greater chance in drawing a spade over drawing a 7

From the complete question added as an attachment, we have the following parameters:

The probability of getting a spade is:

P(Spade) = 4/6

The probability of getting a 7 is:

P(7) = 1/6

The difference between both probabilities is:

Difference = 4/6 - 1/6

Evaluate

Difference = 3/6

Simplify

Difference = 1/2

Hence, there is 1/2 of a greater chance in drawing a spade over drawing a 7

Note that the question is incomplete, and the missing part of the question can be found online

Read more about probability at:

https://brainly.com/question/251701

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Answer:

The towel costs 110 rupees

Step-by-step explanation:

Let n be napkins, and t be towels. Then:

6n+t=200

and

n=t-95

So:

6(t-95)+t=200

7t-570=200

7t=770

t=110....................

Among the set of towels and napkins, the cost of the towel will be equal to 110 rupees.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data given in the question,

Assume that n is for napkins, and t is for towels then,

6n + t = 200  (i)

Also,

The cost of the napkin is rupees 95 less than the towel,

n = t - 95 (ii)

Use equations (i) and (ii)

6(t-95)+t=200

7t-570=200

7t=770

t=110

To know more about Expressions:

https://brainly.com/question/14083225

#SPJ5

Answer:

x

=

−

2

1

2

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

x/12 is the same as 1/12x

so now the equation is 1/12x+1=6

then to simplify it even more we do -1 from both sides so

1/12x+1=6

         -1  -1

again the equation is 1/12x=5

then we multiply both sides by 12 and get x = 60