Arithmetic and Geometric Sequences (Two Questions) (Photo Down Below)

The ratio shows how many times one value is contained in another value.

The number of cups of strawberries Valerie used is 6 cups.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of strawberries to melons is 3:4.

Let us consider,

Strawberries = 3x

Melons = 4x

Now,

A total of 14 cups of fruit were made.

This means,

14 = 3x + 4x

14 = 7x

x = 2

Now,

The number of cups of strawberries is 3x.

3x = 3 x 2 = 6 cups

The number of cups of melons is 4x.

4x = 4 x 2 = 8 cups.

We see that,

6 cups + 8 cups = 14 cups.

Thus,

The number of cups of strawberries Valerie used is 6 cups.

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Answer:

Step-by-step explanation:

9gb/15s=0.6gb/s

32gb/80s=0.4gb/s

DeAndre laptop is faster.

wow his computer is  really fast

We have that  The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

From the question we are told that

9 GB (gigabyte) file in 15 seconds.

Cheryl’s laptop 80 seconds to download a 32 GB file.

Generally the equation for the   is mathematically given as

The rate of transfer for DeAndre’s is

X=\frac{9}{15}

X=0.6GB/s

The rate of transfer for Cheryl’s

[tex]Y=\frac{32}{80}\\\\Y=0.4GB/s[/tex]

Therefore

The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

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Answer:

x = -3/7

Step-by-step explanation:

(2x-2)/x-3 = 5/6

(2x-2)×6 = 5×(x-3)

12x-12 = 5x-15

12x-5x = -15+12

7x = -3

x = -3/7

Final answer x is equal to -3/7.

There are not equivalent to each other because the equation 2x+5=9 is equivalent to 2x=4

Answer: no.

Step-by-step explanation: 2x + 5 = 9 so subtract 5 from each side you get 2x = 4

X= 2

If we substitute that back in 2(2) + 5 = 9 so

If you do -2(2) = 4 it’s -4=4 and it’s not equivalent to each other

Because the statement is not correct.

Answer: 100+0+3

Step-by-step explanation:

Answer:

x = (8√3)/3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = x

Side length adjacent to reference angle = 4

Apply CAH, thus:

Cos 30 = Adj/Hyp

Cos 30 = 4/x

x × Cos 30 = 4

x = 4/Cos 30

x = 4/(√3/2) (cos 30 = √3/2)

x = 4 × 2/√3

x = 8/√3

Rationalize

x = (8 × √3)/(√3 × √3)

x = (8√3)/3

Answer:

D- The set of whole numbers were 1<_x<18

Step-by-step explanation:

Answer:

The letter 'x' is oftenly used in algebra to mean a value that is not yet known . The letter 'x' is known as a variable. Example:- x+3=4 therefore 'x' is the variable .

Maybe this answer might help u out

Answer:

30y^2−23y−14

Step-by-step explanation:

Answer:

The figure below is the graph of this basic function. Graph of y=x^2.

Answer:

whut

i dont get it my man.

EnWAP

Answer:

O They are similar triangles.

Step-by-step explanation:

Given

Triangle X

[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°,  [tex]\angle C = 60[/tex]°

[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]

Triangle Y

[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°,  [tex]\angle C = 60[/tex]°

[tex]AB = 9,\ BC = 12,\ AC = 15.[/tex]

Required

The relationship between X and Y

From the given parameters, the corresponding angles of both triangles are equal i.e.

A = A, B = B and C = C

However, the side lengths are not equal.

The side lengths of Y is 3 multiplied by the side lengths of X.

This is shown below:

Triangle X

[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]

Multiply by 2 to get Triangle Y

[tex]AB= 3 * 3 = 9[/tex]

[tex]BC= 4 * 3 = 12[/tex]

[tex]AC = 5 * 3 = 15[/tex]

Since side lengths are not equal, but they have a common ratio of 3, then the triangles are similar.

Given:

Volume of a square base pyramid = 48 cubic inches.

Area of base = 36 sq. inches.

To find:

The height of the pyramid.

Solution:

Volume of a pyramid is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the pyramid.

Putting V=48 and B=36, we get

[tex]48=\dfrac{1}{3}(36)h[/tex]

[tex]48=12h[/tex]

[tex]\dfrac{48}{12}=h[/tex]

[tex]4=h[/tex]

Therefore, the height of the pyramid is 4 inches.

Answer:highlight throw that tomato

Step-by-step explanation:

Answer:

PR = 34.4

Step-by-step explanation:

x/54 = 7/11

11x = 378

x = 34.4

Answer:

6

Step-by-step explanation:

double numbers for ecquivelant ratios (i cant spell)

Answer:

4, 16

Step-by-step explanation:

[tex] a_n = 3a_{n - 2} - a_{n - 1} - 1 [/tex]

Let's see if it works for a_3:

[tex] a_3 = 3a_{1} - a_{2} - 1 [/tex]

[tex] a_3 = 3(3) - (4) - 1 [/tex]

[tex] a_3 = 4 [/tex]

Yes, it works for a_3.

Now let's calculate a_4.

[tex] a_4 = 3a_{2} - a_{3} - 1 [/tex]

[tex] a_4 = 3(4) - (4) - 1 [/tex]

[tex] a_4 = 7 [/tex]

a_4 is also correct.

Let's calculate a_5.

[tex] a_5 = 3a_{3} - a_{4} - 1 [/tex]

[tex] a_5 = 3(4) - 7 - 1 [/tex]

[tex] a_5 = 4 [/tex]

Let's calculate a_6.

[tex] a_6 = 3a_{4} - a_{5} - 1 [/tex]

[tex] a_6 = 3(7) - 4 - 1 [/tex]

[tex] a_6 = 16 [/tex]

Answer: 4, 16

Answer: 43.5

Step-by-step explanation:

Answer:  19/21 or 0.90 rounded

Step-by-step explanation  

First step: subtract 2/3 from 3 1/5 which equals 2 8/15

Second step is divide 2 8/15 by 2 4/5 which equals 19/21

Answer:

half

Step-by-step explanation:

I got this answer by doing (22/7-2/3) and (22/7-2/3)/2 and comparing the results.

(22/7-2/3) = 52/21, which is about 2.47.

(22/7 - 2/3)/2 = 26/21, which is about 1.23.

With this, you can conclude that it would be half the value.

Answer:

6.571429, it can also be written as 46/7