Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 33 cards, which was 20% of the cards sold for Mother's Day. How many cards were sold for Mother's Day? ​

Answer:

x = 24

y = 15

Step-by-step explanation:

Since, angles (3x - 29)° and (6x - 7)° is a pair of consecutive exterior angles,

Therefore, (3x - 29)° + (6x - 7)° = 180°

9x - 36 = 180

9x = 180 + 36

x = [tex]\frac{216}{9}[/tex]

x = 24

Therefore, (3x - 29)° = 3(24) - 29

                                  = 43°

Since, angles (3x - 29) and (8y + 17) is a linear pair.

(3x - 29)° + (8y + 17)° = 180°

43° + (8y + 17)° = 180°

8y + 60 = 180

8y = 120

y = 15

Therefore, x = 24 and y = 15 will be the answer.

Answer:

(x+1)²

(m-n)²

Step-by-step explanation:

Answer:

The rocket will reach the maximum height after 8.34 seconds.

Step-by-step explanation:

We need to take the derivative of the function and set it to 0.

[tex]y' = -32x + 267 = 0\\32x = 267\\x = 8.34[/tex]

The maximum height of the rocket at x = 8.34375 will be 1,220.89.

For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.

The maximum and minimum value of the function is at f'(x) = 0.

A rocket is sent off from a pinnacle. The level of the rocket, y in feet, is connected with the time after send-off, x like a flash, by the given condition.

The equation is given below.

y = -16x² + 267x + 107

Differentiate the function and put it zero to get the value of time that is 'x' will be given as,

y' = 0

(d/dx)(-16x² + 267x + 107) = 0

-32x + 267 = 0

32x = 267

x = 8.34375

Then the maximum height of the rocket at x = 8.34375 will be given as,

y = -16(8.34375)² + 267(8.34375) + 107

y = -1,113.89 + 2,227.78 + 107

y = 1,220.89

The maximum height of the rocket at x = 8.34375 will be 1,220.89.

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Answer:

y = 1x - 6

Step-by-step explanation:

You need to divide each number or variable by the y value(1).

Answer:

not factorable

Step-by-step explanation:

To factor a trinomial of the type x^2 + ax + b, you need to find two numbers that add to a and multiply to b.

You have 1x^2 + 9x + 2.

In this case, a = 9 and b = 2.

There are no two integers whose sum is 9 and whose product is 2, so this trinomial is not factorable.

Answer:

just guess

Step-by-step explanation:

Answer:

q+t=0

Step-by-step explanation:

Step-by-step explanation:

it said on Google

Answer:

Step-by-step explanation:

a). This graph represents a function with square root of x,

    f(x) = [tex]\sqrt{x}[/tex]

b). This graph represents the reciprocal squared function with asymptotes as,

    Vertical asymptote x = 0

    Horizontal asymptote y = 0

    f(x) = [tex]\frac{1}{x^2}[/tex]

c). This graph represents a linear function (Straight line),

    f(x) = x

d). This graph represents the cubic function,

    f(x) = x³

Answer:

Step-by-step explanation:

1 x square rooted

2 1/x^2

3 x

4 x^2

Using the knowledge of the total sum of the internal angles of a triangle, the value of x would be 25

Recall :

Hence,

(x + 15) + (3x - 35) + 4x = 180

x + 15 + 3x - 35 + 4x = 180

8x - 20 = 180

8x = 180 + 20

8x = 200

x = 200 / 8

x = 25°

Therefore, the value of x is 25

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Answer:In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

Step-by-step explanation:

The slopes of two parallel lines are always equal.

The slope of a line can be calculated by taking the tangent ratio of the angle formed by it with the x axis.

The angle between two parallel lines is zero.

It implies that they form same angle with the x-axis.

Since, the slope of a line is define as the tangent of the angle made by it with x axis.

The slopes of the parallel lines will be equal.

Suppose the slopes of two parallel lines are m₁ and m₂.

Then, it can be written as m₁ = m₂.

Hence, the relationship between the slopes of two parallel lines can be written as m₁ = m₂.

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Answer:

-0,15

Step-by-step explanation:

I think that's it, I'll give an explanation in the comments in a sec

Step-by-step explanation:

23x - 15x = x - 1. 23 minus 15 equals 8

8x = x - 1. subtract x on both sides

-x. -x

7x = -1. divide 7 on both sides

7. 7

x = -1/7

Answer:

Position s(t) = -16t² + 1250 ft

Step-by-step explanation:

Given that:

initial height h₀ = 1250 feet

and suppose the position  function is given as:

-16t² + v₀t + h₀

here;

v₀ = initial velocity

t = time

Thus, the position formula can be expressed as:

Position s(t) = -16t² + 1250 ft because v₀ = 0 ft/s and h₀ = 1250 feet

Answer:

green line:

rise= -6

run= 3

rise/run = slope

therofore the slope = -6/3 = -2

blue line:

rise=3

run=6

rise/run = slope

therofore the slope = 3/6 = 1/2

Answer:

- 2 and [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (0, - 1) ← 2 points on the green line

m = [tex]\frac{-1-5}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

Repeat with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the blue line

m = [tex]\frac{0+3}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Since the product of the slopes = - 2 × [tex]\frac{1}{2}[/tex] = - 1

Then the lines are perpendicular

Answer:

f(t)=(2)/(3)*\cos (4t-3\pi )

Step-by-step explanation:

Because :D

Answer:

f(t) = 2/3 sin (1/3t - 2pi/3) - 2

Step-by-step explanation:

Answer:t=t

Step-by-step explanation:

rn, fr

Answer:

No Solution

Step-by-step explanation:

7t - 13 - 2t = 9 + 5t

~Combine like terms

5t - 13 = 9 + 5t

~Add 13 to both sides

5t = 24 + 5t

~Subtract 5t to both sides

0 = 24

Best of Luck!

answer: 16

step by step explanation:

The total number of marbles = 32 marbles.

We have ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5. After that, two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.

We have to find out how many marbles are there in total.

Yes, a:b equals to [tex]\frac{a}{b}[/tex] - where ' a ' is called Antecedent and ' b ' is called Consequent.

Let the total number of marbles be x.

Let the number of marbles in the red bag be ' x ' and in blue bag ' y '.

According to question -

[tex]\frac{x}{y} =\frac{3}{5}[/tex]

5x = 3y

x = [tex]\frac{3y}{5}[/tex]

After the two marbles are moved from blue bag are moved into the red bag, then -

[tex]\frac{x+2}{y-2} =\frac{7}{9}[/tex]

9(x + 2) = 7(y - 2)

9x + 18 = 7y - 14

9x - 7y = -32

9 ([tex]\frac{3y}{5}[/tex]) - 7y = -32

[tex]\frac{27y}{5} - 7y =-32[/tex]

[tex]\frac{-8y}{5}=-32[/tex]

-8y = -32 x 5

y = 4 x 5

y = 20

Therefore -

x = [tex]\frac{3\times20}{5}[/tex] = 12

Hence, the total number of marbles = x + y = 20 + 12 = 32 marbles.

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Answer:

you can make 1/3 glass of lemonade but if you are saying it without fractions its zero

Step-by-step explanation:

4 times 3 is 12 so if you just have 4 cups than thats 1/3 of a cup

Answer:

y= -3/x

Step-by-step explanation:

Answer:

-3.25 then -2 1/2

Step-by-step explanation:

the greater the number in the negative side the less the amount

Answer:

19

Step-by-step explanation:

7x + 2x = 9x

9x = 68 + 103

68 + 103 = 171

9x = 171

Divide it

19

Answer:

I'm sure the correct answer is x = 19

Step-by-step explanation:

7x + 2x = 9x

68 + 103 = 171

divide both sides by 9 and the it gives you x = 19

Answer:

35 im mot sure

Step-by-step explanation:

Answer: x > 11/8

Step-by-step explanation: Here is why

4 − (x+2) − 7x < −9 (simplify)

-8x + 2 - 2 < -9 -2 ( subtract)

-8x < -11

-8x/-8 < -11/-8 (divide)

= x > 11/8

Answer:

c

Step-by-step explanation:

took the test

D

2x – 3

× x + 4

2x × x = 2x²

-3 × 4 = -12

Answer:

$80.15

Step-by-step explanation:

.15 x 94.3=14.145(round up)

94.3-14.15=80.15

ANSWER

rounded 80.16$

Step-by-step explanation:

I did 1.00-.15 to get .85

the did .85 times 94.30 to get 80.155 but since its money were talking about its 80.16$

Answer:

A

Step-by-step explanation:

A function cannot have 2 points on the same x point, and so every coordinate on A's set is different (-1, 2, 8, 10)

Answer:

Step-by-step explanation: