Solve using substitution. The solution is 4x-2y=-20 y=-3x

Answer:

(a) Since, the highest central angle 120⁰ is of the bus

hence , the most common mode of transport is the bus.

(b) Fraction of children travelling by car =

angle covered by car section

--------------------------------------------

total angle

= 90⁰ 1

--------- = ---------

360⁰ 4

(c) No. of children travelling by car = Fraction of children travelling by car× Total no of children.

1

= 18 = ----- × Total no. of children.......from(b)

4

⇒ Total no of children = 18×4

⇒ Total no of children = 72

(d) Central angle of children who do not take texi = 120⁰ +90⁰ +60⁰+60⁰

⇒ Central angle of students who do not take taxi = 330⁰

⇒ Central angle of students who do take taxi = 360⁰ −330⁰ =30⁰

30⁰

No . of children travelling by taxi = --------- × Total no of children

360⁰

30⁰

⇒ No of children travelling by taxi = --------- × 72 = 6

360⁰

(e) The central angle for students travelling by cycle and those who walk is same.

Thus , the two modes of transport are equal number of children travelling are cycle and walk.

Step-by-step explanation:

hope it's helpful to you

have a great day ahead buddy✌️✌️☺️☺️

Step-by-step explanation:

it is 0.7777777778 . make sure you round it though 0.7^. or 0.78

Answer:

7/9

Step-by-step explanation:

1) Put 1 over 7, like this: 7/1

   REMEMBER EVERYTIME THERE IS A WHOLE NUMBER! PUT A 1 OVER IT!

2) You would get your equation as this: 7/1 * 1/9

3) Multiply HORIZONATLY!

 7 * 1 / 1 * 9  =  7/9

4) Your answer is 7/9!

Answer:

10 is the GCF

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have a right triangle, and isosceles

c^2=a^2+b^2 , in this case of isosceles, a=b

c^2=2a^2

1^2=[tex]\sqrt{2a^2}[/tex]

1=a[tex]\sqrt{2}[/tex]

a=1/[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]/2

Answer:

x+7

Step-by-step explanation:

idek kinda thought that was obvious but who know I could be wrong

The algebraic expression for the verbal expression x more than 7 will be x + 7.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The algebraic expression for the verbal expression x more than 7 will be

The numbers will be x  and 7. And the sum of the numbers x and 7 will be given as,

⇒ x + 7

The algebraic expression for the verbal expression x more than 7 will be x + 7.

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Answer:

They shared $1050.

Step-by-step explanation:

Divide 450/3 = 150

150 * 4 = 600

If Tim gets $450, then Jude will get $600.

450 + 600 = 1050

If Tim gets $400, then Jude will get $600.

Answer:

1/2 times base times height. So you would do 1/2 x 15 x 20 equals....

Step-by-step explanation:

Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

Answer:

C 803.8 in2

Step-by-step explanation:

Answer:

the answer is C 803.8 in2

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Substitute y=5x+7 into the equation 3x+y=-9

So you will have, 3x+5x+7=-9

3x+5x=8x

8x+7=-9

8x+7-7=-9-7

8x=-16

x=-2

Answer:

the answer is 4500

Step-by-step explanation:

Answer:

He Bought 4,500 Grams of Cream Cheese.

Step-by-step explanation:

9514 1404 393

Answer:

  ∠SAP = 85°

Step-by-step explanation:

The whole is the sum of the parts.

  ∠SAX = ∠SAP + ∠PAX

  142° = ∠SAP + 57° . . . . . . . use the given values in the equation

  ∠SAP = 142° -57° . . . . . . . . subtract 57° from both sides

  ∠SAP = 85°

Answer:

x=8

y=24

Step-by-step explanation:

3x=y

x=y-16

Substitute y for 3x

x=3x-16

Add 16 to each side

x+16=3x

Subtract x

16=2x

Divide each side by 2

8=x

y=3x=3×8=24

y=24

Here we have been given with two equations and we have to calculate the values of x and y. So we would be using substitution method for it.

Here we can clearly see that value of y is 3x. So we would substitute it in Equation No 2.

>> x = y - 16

>> x = 3x - 16

>> x - 3x = -16

>> -2x = -16

>> 2x = 16

>> x = 16 / 2

>> x = 8

★ Finding out value of y:-

>> y = 3x

>> y = 3 (8)

>> y = 3 × 8

>> y = 24 [tex] \: [/tex]

Answer:

pog

Step-by-step explanation:

that test :P

Answer:

89 pieces

Step-by-step explanation:

124.6/ 1.4 = 89 pieces

Answer:

199

Step-by-step explanation:

49 + 64 + 81 - 36 +25+16

194 - 36 +25 + 16

-36 + 25 + 16

= -11 + 16 = 5

194 + 5 = 199

Answer:

250 hamburgers

Step-by-step explanation:

so if there were 50 less cheeseburgers then I would take 50 away from 450 and I would get 400. And then I divided it by 2. And so 200+50 = 250 so 250 hamburgers and 200 cheeseburgers. I hope this helps and I'm not good at explaining. :)

Answer:

1. an equal sign

Step-by-step explanation:

An expression is a mathematical statement that does not contain an equal sign. It cannot be solved for unless the value of the variable is given.

Answer:

1. an equals sign

Step-by-step explanation:

expression does NOT have a equal sign but an equation does have an equal sign.

Answer:

rises to the left and rises to the right

Step-by-step explanation:

The end behavior of the graph of f(x) = 3x⁶ + 30x⁵ + 75x⁴ is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of the polynomial function is 6, which is even, and the leading coefficient is positive, so the end behavior of the graph is as follows:

As x approaches negative infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) approaches positive infinity.

As x approaches positive infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) also approaches positive infinity.

Therefore, the end behavior of the graph of f(x) is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.

Learn more about the polynomial here:

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Answer:

rhombus

Step-by-step explanation:

Answer:

Box 1 is A (top box)

Box 2 is B (middle box)

Box 3 is C (lowest box)

I am not taking computer science, so I am just using visual clues... If this is not worth a lot in your grade, making mistakes is okay. So, you can guess.

Answer:

csc θ

Step-by-step explanation:

cot θ sec θ can be substituted by reducing the expression into equivalent parts.

cot θ = (cos θ)/(sin θ)

sec θ = 1/(cos θ)

Reduce these two values to get 1/(sin θ)

This expression can then be changed to csc θ, as it is also equivalent.

The trigonometric expression cot θ × sec θ in the simplified form will be cosec θ.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ cot θ × sec θ

We know that cot θ = cos θ / sin θ and sec θ = 1 / cos θ, then we have

⇒ cot θ × sec θ

⇒ cos θ / sin θ × 1 / cos θ

⇒ 1 / sin θ

We know that 1 / sin θ = cos θ

⇒ 1 / sin θ

⇒ cosec θ

The trigonometric expression cot θ × sec θ in the simplified form will be cosec θ.

More about the trigonometry link is given below.

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Answer:

39 degrees

Step-by-step explanation:

97+44= 141

141 - 180 = 39

Answer

it is 0.5

Step-by-step explanation:

Answer:

Yoshi applied the rules of signed numbers incorrectly

Step-by-step explanation:

When you multiply 2 negatives, you get a positive.

Answer:

Step-by-step explanation:

So it is 3 by 7 rectangle and diagonal

FE=3 EH=7 so FH=6