Felicity the clown inflates 2 balloons in 5 minutes. Grumpy the clown ties 5 balloon animals in 12 minutes they both work at a steady rate. If Felicity maintained this constant rate, how many balloons could she inflate in one hour? If Grumpy maintained this constant rate, how many balloon animals could he tie in one hour?

Answer:

they planted tobacco and food right away

Answer:

12

Step-by-step explanation:

72/6=12

Answer: $3 : $4 or 3 : 4

Step-by-step explanation: To find the ratio of the cost of lemon juice in salad dressing, you’ll have to replace $13.50 or 13.5 to (135/10), which doesn’t affect the solution. Next, simplify (135/10) to get 27/2. After, divide 27/2 by 18, which is the other part of the ratio. (27/2 ÷ 18) Your final answer or result should end up as 3/4 but since we’re dealing with fractions 3:4, which is the simplified form of $13.50 : $18.00.

Answer:

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

Answer:

-16

Step-by-step explanation

g(-4)=5(-4)+4

g(-4)= -20+4

g(-4)= -16

Answer:-16

Step-by-step explanation: Desmos

Answer:

it could be linear, or an increasing line

Answer:

sry

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Answer:

A = 18 and B = -15

Explanation:

Answer:

x= first number y= second

x=2y+9 and x+y=129, these are the equations...solving gives x=89,y=40

Step-by-step explanation:

Answer:

-18 and -9 is the answer

Answer:

y= 3x + -3/2

Step-by-step explanation:

lol

Answer:

a. 96

Step-by-step explanation:

because a triange is to 180 degrees

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Answer: this table shows a relationship between the number of Popsicles sold in the month of money earned by is a popsicle owner. Is the number of money earned in dollars proportional to the number of Popsicles sold? explain why or why not.

Step-by-step explanation:

Answer:

y = 60

Step-by-step explanation:

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

y = kx ← k is the constant of variation

To find k use the condition y = 20 when x = 10, then

20 = 10k ( divide both sides by 10 )

2 = k

y = 2x ← equation of variation

When x = 30, then

y = 2 × 30 = 60

Answer:

the graph is correct. the equation would be y=3/2x+3

Step-by-step explanation:

Answer:

You're right

Step-by-step explanation:

Khan

Answer:

2.438

Step-by-step explanation:

1=0.305m

x=8m

( do cross multiplication)

8=0.305x

x=2.438 or 2.44

Answer:

Step-by-step explanation:

10x-35=12x +  12

10X-12X=12+35

-2x=47

2x=-47

x=-47/2

Answer:

[tex] y = -65x + 420 [/tex]

Step-by-step explanation:

Slope-intercept form equation is given as [tex] y = mx + b [/tex]

Where,

y = distance remaining

x = hours driven

m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.

b = y-intercept, which is the initial value or the distance between the cities = 420

Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

[tex] y = -65x + 420 [/tex]

The equation in slope intercept form is [tex]y =-65x + 420[/tex]

A linear function is a function whose value changes at a constant rate.

The given parameters are:

A linear function is represented as:

[tex]y = mx + c[/tex]

Where

So, the function becomes

[tex]y =-65x + 420[/tex]

Hence, the equation in slope intercept form is [tex]y =-65x + 420[/tex]

Read more about linear functions at:

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Answer:

4.9/6.3= .777777... , a simplified fraction form of this would be 7/9.

Step-by-step explanation:

Fraction 7/9 of the flagpole is above the ground

If a flagpole 6.3m long is driven 1.4m into the ground, then the fraction of the pole that is above the ground is 6.3m - 1.4m = 4.9m / 6.3m = 49/63 = 7/9.

To calculate the fraction of the pole that is above the ground, we need to subtract the length of the part of the pole that is driven into the ground from the total length of the pole. This gives us 4.9m. We then divide this length by the total length of the pole to get the fraction 7/9.

In other words, 7/9 of the flagpole is above the ground. This means that if we cut the flagpole into 9 equal pieces, 7 of those pieces would be above the ground and 2 of those pieces would be below the ground.

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Answer:

$16

Step-by-step explanation:

Let his weekly allowance = x

Amount spent playing golf = x / 2

Amount earned for cleaning car = $4

Final amount at hand = $12

Mathematically ;

x/2 + 4 = 12

x/2 = 12 - 4

x/2 = 8

x = 2 * 8

x = $16

Weekly allowance = $16

Answer:

31 degrees and 26 degrees

Step-by-step explanation:

Every triangles' angles equals 180 degrees.

180 - 82 - 67 = 31

180 - 80 - 74 = 26

Answer:

x=15 in.

Step-by-step explanation:

If the parallelograms are equal (I assume they are), then the ratios are the same. 12 is 3/4 of 16. 3/4 of 20 is 15.

=========================================================

Explanation:

Let y = -3*f(-3) + 2*f(3)

The goal is to find the value of y as some single numeric value.

We know that f(x) is an odd function. This means that

f(-x) = -f(x)

For all x in the domain of f(x).

Based on that, we can say

f(-3) = -f(3)

and,

y = -3*f(-3) + 2f(3)

-1*y = -1*(-3*f(-3) + 2*f(3)) ... multiply both sides by -1

-y = 3*f(-3) - 2*f(3)

-y = 3*f(-3) + 2*(-f(3))

-y = 3*f(-3) + 2*f(-3)

-y = 3*7 + 2*7 .... f(-3) replaced with 7

-y = 21+14

-y = 35

y = -35

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

Here's a slightly different approach

f(-3) = 7

-f(3) = 7

Since f(-3) = -f(3)

We can then transform -f(3) = 7 into f(3) = -7 after multiplying both sides by -1

Therefore,

y = -3*f(-3) + 2f(3)

y = -3*7 + 2(-7)

y = -21 - 14

y = -35

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

There are probably other routes to solve this problem.

Whichever path you take, you should find that -3*f(-3) + 2f(3) = -35

Answer:

-11b + 7 = 40

Subtract 7 on both sides

-11b = 33

Divide by -11

b = -3

but if b=0 b is already solved unless you meant b=x

The value of z₂ - z₁ is -7 -8√(8i). And the second option is correct.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, given that two expressions,

[tex]z_1=9+9\sqrt{3i}\\z_2=2+\sqrt{3i}[/tex]

To find the z₂ - z₁:

So,

[tex]z_2-z_1\\\\=2+\sqrt{3i}-(9+9\sqrt{3i})\\\\=2+\sqrt{3i}-9-9\sqrt{3i}\\\\=-7-8\sqrt{8i}[/tex]

The value of the equation, z₂ - z₁ =  -7 -8√(8i)

Hence, the second option z₂ - z₁ = -7 -8√(8i) is correct.

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Answer:

B is the answer, just took the test

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

Step-by-step explanation:

90% x $60000 = $54000

Topic: percentage

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Answer:

120

Step-by-step explanation:

to get 1/8 of the total students, do 320 divided by 8[40].

3/8 is 1/8 x 3 so 40x3 = 120

Answer:

First one = 120

Second one = 54

Third one = 64

Step-by-step explanation:

For the first figure a triangle must all add up to 180 degrees so just do

180-60 which gives you 120

For the second one it is the same 104+ 22 = 126 then you do 180-126 which gives you 54

For the 3rd figure that straight line is equal to 180 so you do 180-154 which gives you 26 and because the other angle is a right angle we know it adds up to 90. 90+26 = 116 then finally you do 180 - 116 which gives you 64.

Hope this helps.