Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 bows. On her other frames, she also wants to use 2 types of items on each picture frame, but only if the 2 items have the same unit rate as the items on the first frame. Which of the pairs of items could Robin use for the other frames?

The anwser is 4 gems and 16 flowers and 7 stickers and 28 glue dots

Answer:

[tex](a):\ y = \frac{x + 3}{7}[/tex] --- Function

[tex](b):[/tex] Not a function

[tex](c):[/tex] A function

Step-by-step explanation:

Given

See attachment

Required

Determine if each relation is a relation or not

A function is represented as: [tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3)...(x_n,y_n)\}[/tex]

Where

[tex]x = domain[/tex] and [tex]y = range[/tex]

For a relation to be a function:

No x value (in other words, the domain) must be repeated

[tex](a):\ y = \frac{x + 3}{7}[/tex]

The above relation is a function. This is so because every unique value of x have a unique value of y.

In other words:

No two domains exist for a range

Conclusively, it is a one-to-one function

[tex](b):[/tex]

[tex]\begin{array}{ccccc}x & {-2} & {-2} & {1} & {3} \ \\ y & {-5} & {-1} & {3} & {7} \ \ \end{array}[/tex]

In the above table, we have:

[tex](x_1,y_1) = (-2,5)[/tex] and [tex](x_2,y_2) = (-2,-1)[/tex]

The domain (-2) points to range (5 and -1).

Based on the condition that no two domain should point to the same range, we can conclude that this is not a function.

[tex](c):[/tex]

[tex]\begin{array}{ccccc}x & {-3} & {-1} & {1} & {3} \ \\ y & {-4} & {-4} & {2} & {2} \ \ \end{array}[/tex]

In the above table, we have the domain to be:

[tex]x = \{-3,-1,1,3\}[/tex]

We can see that no x value is repeated.

Hence, this is a function.

Answer:

2x-6y+14

This expression will simplify back to x-3y+7

Answer:

y= 1/3x-7/3

Step-by-step explanation:

We have: x-3y+7

There are many equivalent expressions we can create, but let's write this equation in slope- intercept form.

First step is to rearrange the terms: -3y=-x+7

But we are not done yet; now we divide both sides with -3: y=1/3x-7/3

(The negatives cancel out, which is why we get a positive 1/3)

Answer:

-7

Step-by-step explanation:

-2 - 5 is -7

Answer:

-7

Step-by-step explanation:

?+5=-2

  -5   -5

?=-7

Answer:

2/3<5/6

Step-by-step explanation:

The least common denominator (LCD) is: 6.

4/6 < 5/6

Therefore, comparison shows:

2/3 < 5/6

Answer:

X=2

Step-by-step explanation:

Answer:

2x + 3 = 13

Step-by-step explanation:

Answer:

THE PERSON UP TOP IS RIGHT

Step-by-step explanation:

5       ;)

Answer:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

x + 61 = 411

Answer:

i could meane that only the adults bought 768 totel

Step-by-step explanation:

Answer:

The slope is -4

Step-by-step explanation:

Answer: -4

-4 is the slope because in the equation y=mx+b, m represents the slope.

hope this helps :)

Answer:

64 meters^2

Step-by-step explanation:

Break the shape into small parts:

The largest rectangle's area is: 5*11 = 55 meters^2

The smaller rectangle's area: 3*3 = 9 meters^2

55 m^2+9m^2 = 64 meters^2

Answer:

8 pencil for 1.25 because you save more money.

Step-by-step explanation:

Answer:

8 pencils is a better buy

Step-by-step explanation:

at 8 pencils for 1.25, each pencil costs about 16 cents and at 12 pencils for 2.00, each costs about 17 cents

Answer:

837.23 cm³

Step-by-step explanation:

La fórmula para el volumen de un prisma pentagonal se da como:

1/2 (5 s × a) × h

Dónde:

s = longitud lateral

a = Apotema

h = altura

De la pregunta anterior:

s = largo de lado = 6.1 cm

a = Apotema = 4.5 cm

h = Altura = 12.5 cm

Por lo tanto:

El volumen del prisma pentagonal =

1/2 (5 × 6.1 × 4.5) × 12.5

= 1/2 × 137.25 × 12.5

= 837.225 cm³

Aproximadamente = 837.23 cm³

Answer:

2m/s/s

Step-by-step explanation:

It was 0 m/s/s before, and now it is 10 / 5 = 2 m/s/s

Answer:

Please check the explanation.

Step-by-step explanation:

Given the system of equations

2 + 2y = 6

2x - 3y = 26

Let us solve the system of equations

[tex]\begin{bmatrix}2+2y=6\\ 2x-3y=26\end{bmatrix}[/tex]

Rearrange equations

[tex]\begin{bmatrix}-3y+2x=26\\ 2y=4\end{bmatrix}[/tex]

Multiply -3y+2x=26 by 2:    -6y+4x=52

Multiply 2y = 4 by 3:  6y = 12

[tex]\begin{bmatrix}-6y+4x=52\\ 6y=12\end{bmatrix}[/tex]

adding the equations

[tex]6y=12[/tex]

[tex]+[/tex]

[tex]\underline{-6y+4x=52}[/tex]

[tex]4x=64[/tex]

Solve 4x = 64 for x

[tex]4x = 64[/tex]

divide both sides by 4

[tex]\frac{4x}{4}=\frac{64}{4}[/tex]

Simplify

[tex]x = 16[/tex]

For -6y+4x = 52 plug in x = 16

[tex]-6y+4\cdot \:16=52[/tex]

Multiply the numbers: 4 · 16 = 64

[tex]-6y+64=52[/tex]

Subtract 64 from both sides

[tex]-6y+64-64=52-64[/tex]

Simplify

[tex]-6y=-12[/tex]

Divide both sides by -6

[tex]\frac{-6y}{-6}=\frac{-12}{-6}[/tex]

[tex]y=2[/tex]

Therefore, the solution to the system of equations be:

[tex]y=2,\:x=16[/tex]

Thus,

(x, y) = (16, 2)

Please note that it seems your answer choices have not included the correct option.

Answer:

(10 -2)

Step-by-step explanation:

first you have to substitute the value of x, solve that, substitute the value of y, solve, and that’s about it. :)

Answer:

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

3) O(x,y)=(x-3,y+5)

The rule that describes the translation is (x, y) -> (x - 3, y + 5), the correct option is C.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y =[tex]k \times f(x)[/tex]

Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]

We are given that;

5 units up and 3 units to the left

Now,

In this case, the rectangle is translated 5 units up and 3 units to the left. This means that the vertical shift is 5 and the horizontal shift is -3.

After transformation x=x - 3

Y=y + 5

Therefore, the transforming function will be (x, y) -> (x - 3, y + 5).

Learn more about transforming functions here:

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Answer:

A=$2100

B=$1400

Step-by-step explanation:

3500*1.06=3710

a+b=3500

1.05a+1.075b=3710

1.05a+1.05b=3675

1.05a+1.075b=3710

Subtract 1.05a+1.05b=3675 from 1.05a+1.075b=3710

0.025b=35

b=1400

a=3500-1400=2100

Double check: (2100*1.05)+(1400*1.075)=3710

3500*1.06=3710

The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

0.05a + 0.075b = (0.06 x $3500)

0.05a + 0.075b = $210 ----- equation 1

a + b = $3,500   -------- equation 2

Where:

a is the amount invested in the account that paid a 5% interest.

b is the amount invested in the account that paid a 7.5% interest.

The amount invested in the account that pays a 7.5% interest.

In order to determine this value, multiply equation 2 by 0.05

0.05a + 0.05b = 175  ------- equation 3

0.025b = 35

b = $1400

The amount invested in the account that pays a 5% interest.

a + $1400 = $3500

a = $3500 - 1400

a = $2100

Therefore, The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

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Answer:

36

Step-by-step explanation:

The paper is adding 9

Answer:

Answer:

1). Option (A)

2). Option (A)

Step-by-step explanation:

1). A worker bee has the mass = 0.00011 kg

  In scientific notation we can convert the mass of bee as,

  0.00011 =

                =

  Since 1.1 ≈ 1,

  Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg

  Option (A) is the answer.

2). An African elephant has a mass = 8139 kg

   In scientific notation,

   8139 = 8.139 × 10³

   Since, 8.139 ≈ 8

   Therefore, 8139 kg = 8.139 × 10³ kg

   Option (A) is the answer.

Hope this helps! ;)

Step-by-step explanation:

Answer:

Answer:

1). Option (A)

2). Option (A)

Step-by-step explanation:

1). A worker bee has the mass = 0.00011 kg

  In scientific notation we can convert the mass of bee as,

  0.00011 =

                =

  Since 1.1 ≈ 1,

  Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg

  Option (A) is the answer.

2). An African elephant has a mass = 8139 kg

   In scientific notation,

   8139 = 8.139 × 10³

   Since, 8.139 ≈ 8

   Therefore, 8139 kg = 8.139 × 10³ kg

   Option (A) is the answer.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

x = 2  +  √-16 [ (-2)⁻¹]

See steps below.

Step-by-step explanation:

Finding the zeroes of a function simply means solving for the unknown variable (in this case "x") when the function is equated to zero.

The function here is   [tex]f(x) = -(x + 1)^{2} - 4 = 0[/tex]

Start by opening the bracket. Ignore the minus sign. It will be reintroduced at the end of this step.

(x + 1)(x + 1)   = x² + x + x + 1    = x² + 2x + 1

Reintroduce the minus sign. Don't forget to put the result above back in a bracket.

- (x² + 2x + 1)  = -x² -2x -1

Place the expression back in the equation and solve. Make sure to put it back in the position where it was.

-x² - 2x - 1 - 4 = 0

Simplify the non-algebraic terms.

-x² - 2x - 5 = 0

Use Quadratic Formula to solve for x.

Quadratic formula: x =  -b ± √(b² - 4ac)

                                              2a

a = the coefficient of x² = -1

b = the coefficient of x  = -2

c = the unit term            = -5

So   x = -(-2)  ± √ [(-2)² - 4(-1 x -5)]

                       2(-1)

x = 2 + √-16                    or x = 2 - √-16

         -2                                          -2

This is where the evaluation ends, since the square root of minus sixteen cannot be evaluated. x hence is equal to a complex number. The above are the two values for x.

Next step is to put it in "a + bi" form.

x = 2  +  √-16  ÷  -2     =  2  +  √-16  x (-2)⁻¹

So   x = 2  +  √-16 [ (-2)⁻¹]

where

a is 2;

b is √-16

i is [(-2)⁻¹]

Answer:

×=14

Step-by-step explanation:

24÷16=1.5

21÷1.5=14

Answer:

Step-by-step explanation:

Input Data :

Point 1

(

x

A

,

y

A

)

= (0, 2)

Point 2

(

x

B

,

y

B

)

= (8, 8)

Objective :

Find what is a midpoint of a line segment?

Solution :

Midpoint  

(

x

M

,

y

M

)

=

(

x

A

+

x

B

2

,

y

A

+

y

B

2

)

=

(

0

+

8

2

,

2

+

8

2

)

=

(

8

2

,

10

2

)

Midpoint of a line segment  

(

x

M

,

y

M

)

= (4, 5)

hope that help

mark me brill

Answer:

it does not show the picture for me but can u post it again so I can try answering it

Answer:

just do 5x3. there are 15 servings

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Given that :

Total crop on corn plot = 1500

Total on soya bean plot = 3000

Total on grass plot = 500

Total plants = 5000

A Stratified sample of 200 corn plants is to be selected ;

Number of samples he takes from each plot:

Percentage of number of samples :

x% of 5000 = 200

0.01x * 5000 = 200

50x = 200

x = 200/50

x = 4%

Hence, number of plants to be selected from corn plot :

4% of 1500

0.04 * 1500

= 60

Answer:

Step-by-step explanation:

the pot will be a cylinder,

V=3.14*r^2*h

V=3.14*(4.5)^2*7.5=476.89

The volume of the soup pot is equal to 476.89 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.

The space occupied by the cylinder in three-dimensional space is called the volume of the cylinder.

Given that the soup pot is 7.5 inches tall with a radius of 4.5 inches. The volume of the soup pot will be calculated as,

V=3.14 x r² x h

V=3.14 x (4.5)² x 7.5

V =476.89 cubic inches

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Answer:

56/45 or 1 11/45

Step-by-step explanation:

change to improper fractions and multiply the first by the reciprocal of the second

[tex]\frac{14}{3}[/tex] ÷ [tex]\frac{15}{4}[/tex]  =  [tex]\frac{14}{3}[/tex] · [tex]\frac{4}{15}[/tex]  =  [tex]\frac{56}{45}[/tex]

45 goes into 56 1 time with a remainder of 11

Answer:

56 /33     Decimal: 1.69697)

Step-by-step explanation:

hope it helps

I can barely see the question

Answer:

5 1/2 cups

Step-by-step explanation:

2.75 times 2