large pizza costs $8.95, plus $0.65 for additional toppin. Remi paid $10.90 for a large pizza. How many additional toppings did she get?

Answer:

y=1

x=5/2

Step-by-step explanation:

4x-9y=1

(2x+y=-5)-2

4x-9y=1

-4x-2y=10

_________

-11y=11

y=-1

4x-9y=1

4x-9(1)=1

4x=10

x=10/4

x=5/2

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.

The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.

Answer:  A. The value of s(x) depends on the value of x, since s is a function of x.

Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.

Answer:

This is the answer do it fast. Ok

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 8x + 13 ← is in standard form

with a = 1 and b = - 8 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into the equation for corresponding value of y

y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3

Vertex = (4, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = 4 ← equation of axis of symmetry

To determine direction of opening

• If a > 0 then graph opens up

• If a < 0 then graph opens down

Here a = 1, thus graph opens up

Answer:

Triangles ABD and CBD are congruent by the SSS Congruence Postulate

Step-by-step explanation:

AB = CB

AD = CD

and BD is the common side.

The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."

"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."

"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."

"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."

"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."

"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."

For given question,

We have been given triangles ABD and CBD.

B is the midpoint of line AC

⇒ AB = BC

For triangles ABD and CBD,

side AB = side CB                   ............(since, B is the midpoint of line AC)

side BD = side BD                   .............(common side)

side AD = side CD                  ............(measures 15 units each)

So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.

Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'

The correct answer is option (a)

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Answer:

sam will take the 75 pollywog pralines and divide them into the three bags

75÷3 =25

9514 1404 393

Answer:

  1/2

Step-by-step explanation:

The midpoint is the average of the end points:

  (-3 +4)/2 = 1/2

The coordinate of the midpoint is 1/2.

Answer:

198.5886   or technically 198.58 or 198.59 because you can't have a decimal of a penny.

Step-by-step explanation:

One British pound was worth 1.5761 Canadian dollar, meaning that every pound needed is worth 126 Canadian dollar.

That means you can multiply 1.5761 by 126 to get the Canadian dollar price.

126 x 1.5761 = 198.5886

198.5886 is the Canadian price

Answer: March 28

Step-by-step explanation:

Solve for this by checking for the lowest common multiple of 7 and 4.

Multiples of 7: 7, 14, 21, 28, 35

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.

Answer:

40

Step-by-step explanation:

20% of 120 which is 24 are lions

half of the animals which is 120 ÷ 2 is 60 for the zebra

therefore, 60+24 is 84

120 - 84 is 36

Answer:

1

Step-by-step explanation:

negative times negative is positive so that would make it 3-2 which is 1.

Answer:

c

Step-by-step explanation:

I took the test and got it right

The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.

C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.

Let's break down the steps:

Seven to the one-third power all raised to the third power:

[tex](7^{(1/3)})^3[/tex]

Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:

[tex]7^{(1/3 * 3)[/tex]

The exponent 1/3 multiplied by 3 is equal to 1:

[tex]7^1[/tex]

Any number raised to the power of 1 is itself, so:

7

This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.

Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.

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answer:

p=2(l+w)

150=2.5+w

150=10w

150/10=w

15=w

Step-by-step explanation:

x = ky, where k is a real constant.

When y = 36, x = 24.

=> (24) = k(36), k = 2/3.

Hence x = (2/3)y.

When y = 132, x = (2/3)(132) = 88.

Answer:

see explanation

Step-by-step explanation:

Given x varies directly with y then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 24 when y = 36, then

36 = 24k ( divide both sides by 24 )

1.5 = k

y = 1.5x ← equation of variation

When y = 132, then

132 = 1.5x ( divide both sides by 1.5 )

x = 88

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

domain -are all values of x

c -because x can take any value except 1

Answer:

x = 3

Step-by-step explanation:

Given the 2 equations

- 2x + y = 5 → (1)

- 5x + y = - 4 → (2)

Multiply (2) by - 1 then add to (1) to eliminate y

5x - y = 4 → (3)

Add (1) and (3) term by term to eliminate y

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

81

Step-by-step explanation:

The value of f(1) for the recursive function is (d) 81

The recursive function is given as:

[tex]f(n + 1) = \frac 13f(n)[/tex]

Multiply both sides of the equation by 3

[tex]3f(n + 1) = f(n)[/tex]

Rewrite as:

[tex]f(n) = 3f(n + 1)[/tex]

Set n = 2;

[tex]f(2) = 3f(2 + 1)[/tex]

[tex]f(2) = 3f(3)[/tex]

Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]

[tex]f(1) = 3f(1 + 1)[/tex]

[tex]f(1) = 3f(2)[/tex]

Substitute [tex]f(2) = 3f(3)[/tex]

[tex]f(1) = 3 \times 3f(3)[/tex]

[tex]f(1) = 9f(3)[/tex]

Substitute 9 for f(3)

[tex]f(1) = 9 \times 9[/tex]

[tex]f(1) = 81[/tex]

Hence, the value of f(1) for the recursive function is (d) 81

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Answer:

mean of e + f = 18

Step-by-step explanation:

(a + b + c + d)/4 = 9         Multiply by 4

a + b + c + d = 9 * 4 = 36

(a + b + c + d + e + f ) / 6 = 12

but a + b + c + d = 36

(36 + e + f)/6 = 12             Multiply by 6

36 + e + f = 72                 Subtract 36 from both sides

e + f = 36                         Divide by 2 to find the mean.

(e + f)/2 = 36/2

mean of e + f = 18

Answer:

A. the median number of hours spent on Math was about 2.9

Step-by-step explanation:

The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.

The given box plot shows the number of hours students have spent on math this week.

The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.

Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The vertical line represents the median, which is 2.9.

Therefore, option A is the correct answer.

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Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Answer:

‍♂️ but if you know please answer

Answer:

12344567891011121314151617181920

Step-by-step explanation:

12344567891011121314151617181920

Answer:

C) 0.71.

Step-by-step explanation:

To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.

We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.

Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.

The value of the probability P(F or C) is 0.80, Option D is correct.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a survey participant is randomly selected.

Let F be the event that the participant’s first motor vehicle had four cylinders and

let C be the event that the participant’s first motor vehicle was a car.

We need to find the value of P(F or C)

The number of P or c is 118+6+18+16+2

=160

The number of people in total are 200.

P(F or C )= 160/200

=0.80

Hence, the value of the probability P(F or C) is 0.80, Option D is correct.

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Answer:

15 bundles of roofing shingles

Step-by-step explanation:

Total bundles of roofing shingles = 29

He carries two bundles at a time

How many bundles are still on the ground after his seventh trip up the ladder?

First trip = 2 bundles of roofing shingles

Second trip = 2 bundles of roofing shingles

Third trip = 2 bundles of roofing shingles

Fourth trip = 2 bundles of roofing shingles

Fifth trip = 2 bundles of roofing shingles

Sixth trip = 2 bundles of roofing shingles

Seventh trip = 2 bundles of roofing shingles

Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2

= 14 bundles of roofing shingles

Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips

= 29 - 14

= 15 bundles of roofing shingles

Answer:

a)y^3

o)7a^2

I know only that