1. GUACAMOLE Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?



2. MARBLES The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate, how many blue marbles are there if there are 15 white marbles?



3. FERTILIZER Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how much plant food should she use?



4. STRAWBERRIES At a local fruit stand, Luisa spends $3.96 for 2 pounds of strawberries. How much can she expect to pay for 4 pounds of strawberries?



5. POGO STICK On her pogo stick, Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?



6. TESTS On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?



7. SOCCER The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 games?



8. VEGETABLES At a harvest, 16 ears of corn are being picked for every 18 peppers. If 9 peppers have been picked, how many ears of corn have been picked?



9. CONSTRUCTION At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed along 35 feet of road?

Answer: Probably m = -1/6 and b = 5

Warning: I might be wrong.

Answer:

5

Step-by-step explanation:

Answer:

The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents

Answer:

Your answer is: x < 84

Step-by-step explanation:

Hope this helped : )

Answer:

x<84

Step-by-step explanation:

In this problem, we can't find a specific value of x. In this case, we will find a range of value suitable for x.

[tex]\frac{x}{6} -6 < 8[/tex]

Add 6 to both sides

[tex]\frac{x}{6} <14[/tex]

Multiply 6 to both sides

x<84

Hope this helps! :D

Answer:

1. (2,5),(1,3.5),(4,8),(6,11)

2. This is not a proportional relationship (explanation below)

Step-by-step explanation:

For the plotting, if you take some random x values and multiply by 1.5 and add 2 to them.  

This can't be a proportional relationship. A proportional relationship means the x and y values' ratios have to stay the same. However, because 2 is added to 1.5x, the equation is not proportional.

The four x and y values that make the equation true are (0,2), (-1.333,0), (1,3.5), and (1,3.5).

Therefore,

We select several x and y values,

1) Take x=0,

y = 1.5(0) + 2 =2.

The point is (0,2).

2) Take y=0,

0 = 1.5x + 2

x = -2/1.5 = -1.333

The point is (-1.333,0).

3) Take x=1,

y = 1.5(1) + 2 = 3.5

The point is (1,3.5).

4) Take y=1,

1 = 1.5x +2

1.5x = -1

x = -1/1.5 = -0.666.

The point is (-0.666,1).

The four sets of x and y numbers that make the equation true are (0,2), (-1.333,0), (1,3.5), and (0,2).

To learn more about proportional relationship, refer to:

brainly.com/question/21302696

#SPJ2

Answer:

75%

Step-by-step explanation:

Answer: 20cents

Step-by-step explanation;

Company spends 20 cents on materials to produce each copy

f(x) represents the average cost in dollars for a company

x represents the number of copies of comic produced by company.

Total cost in dollars for a company = 80,000 + 0.2x

Since, x is the number of copies of comic produced ,

0.2x indicates that it spends $0.2 on material to produce each copy.

Use conversion:

1 dollars = 100 cents

0.2 dollars = 20 cents.

Answer:

The correct option is D the company spends 20 cents on materials to make each copy

Step-by-step explanation:

Answer:

-13.64

Step-by-step explanation:

no explanation needed. Hope this really helps! :):) :) :) :)

13.64 decimal represents the total variation in water level that Ericka observed.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, You can multiply -2.2 by 6.2 to find the total variation in water level.

Since it is already given that the multiple of -2.2 and 6.2 will give the total variation of water level.

Thus, the decimal represents the total variation in water level that Ericka observed = -2.2 * 6.2

the decimal represents the total variation in water level that Ericka observed = 13.64

therefore, the decimal represents the total variation in water level that Ericka observed is 13.64.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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Answer:

Step-by-step explanation:

hope this helpssss

Answer:

12x + -9 or 12x-9

Step-by-step explanation:

9x-4+3x-5

Combine the like terms.

9x + 3x = 12x

-4 - 5 = -9

12x-9

Answer:

Step-by-step explanation:

Answer:

i think the answer is A

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

We will figure this out using subtraction.

96-24=72

112-28= 84

Simplified:

72/9= 8

84/9=9.33

So, no. They are not equivalent. Also is there any context?

Answer:

what you need help with

Step-by-step explanation:

Answer:

f

−

1

(

x

)

=

x

−

3

Step-by-step explanation:

Answer:174339220050

Step-by-step explanation: Raise 3 to the 20th power, then multiply by 50

Answer:

x=2

Step-by-step explanation:

Answer:  1/5^7 or  1/78125 <= another way

Step-by-step explanation:

5^−4/5^3

=5^−4/5^3

=5^−4−3

=5^−7

=1/5^7

=1/78125

Answer:

27 m2

Step-by-step explanation:

Answer:

one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths

Step-by-step explanation:

Each of the numbers written in word form instead of standard form. Hope it helps!

Answer:

Where's the picture?

Step-by-step explanation:

Answer:

That's the rule used to divide fractions.

So keep the first fraction, change the sign from divide to multiply, then flip the second fraction.

Example:

1/2 ÷ 3/5 --> 1/2 x 5/3

Answer:

a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

Step-by-step explanation:

a.

∵ T(n) = 2n² + 4 is the rule of the sequence, where

∴ For the first term, n = 1

→ Substitute n by 1 in the rule above to find T(1)

∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4

∴ T(1) = 6

→ For the second term, n = 2

∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4

∴ T(2) = 12

→ For the third term, n = 3

∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4

∴ T(3) = 22

→ For the fourth term, n = 4

∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4

∴ T(4) = 36

→ For the tenth term, n = 10

∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4

∴ T(10) = 204

The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b.

∵ T(n) = 3n² - 3 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3

∴ T(1) = 0

→ For the second term, n = 2

∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3

∴ T(2) = 9

→ For the third term, n = 3

∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3

∴ T(3) = 24

→ For the fourth term, n = 4

∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3

∴ T(4) = 45

→ For the tenth term, n = 10

∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3

∴ T(10) = 297

The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c.

∵ T(n) = -3n² + 7 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7

∴ T(1) = 4

→ For the second term, n = 2

∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7

∴ T(2) = -5

→ For the third term, n = 3

∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7

∴ T(3) = -20

→ For the fourth term, n = 4

∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7

∴ T(4) = -41

→ For the tenth term, n = 10

∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7

∴ T(10) = -293

The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d.

∵ T(n) = 4n² - 5 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5

∴ T(1) = -1

→ For the second term, n = 2

∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5

∴ T(2) = 11

→ For the third term, n = 3

∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5

∴ T(3) = 31

→ For the fourth term, n = 4

∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5

∴ T(4) = 59

→ For the tenth term, n = 10

∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5

∴ T(10) = 395

The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

Answer:

1, 4 nope 2, 3 yep

Step-by-step explanation:

Answer: B: each electrician charges a different base fee

Step-by-step explanation:

Answer:

b.Each electrician charges a different base fee:

Explanation:

Each of the equations has two parts:

1- base fee that is independent of any variable (this would be the number that has no variable next to it)

2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)

For the first electrician:

y = 25x + 30

base fee = $30

hourly rate = $25

For the second electrician:

y = 30x + 25

base fee = $25

hourly rate = $30

For the third electrician:

y = 25x + 20

base fee = $20

hourly rate = $25

Now, let's check the choices:

a.Each electrician charges a different hourly rate:

This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

b.Each electrician charges a different base fee:

This is correct as all three base fees are different ($30, $20 and $25)

c.All three electricians charge the same hourly rate:

This is incorrect as electrician 2 has a different hourly rate

d. All three electricians charge the same base fee:

This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)

Answer:   c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

Step-by-step explanation:

A residual plot is a graph that represents

Two main kids of plot are there.

First plot gives a random pattern, indicates a good fit for a linear model.

Other plots are non- random, indicates a good fit for a non- linear model.

Two points are correct for any residual plots :

c. The pattern shows the points are far from the zero line( basically u-shaped), indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

Answer: none

Step-by-step explanation:

Answer: slope = 21, y-int = 15

Step-by-step explanation:

f(x) = -7x + 9

g(x) = -7(x + 2) + 9 = -7x - 5

h(x) = -3(-7x - 5) = 21x + 15

slope = 21

y-intercept = 15

hope this helps (not sure if my answer is correct)

a) whatever is in the bracket you substitute into x.

c(100) = (1.25*100) + 2175

          = 125 + 2175

          = 2300

Another exmaple: if it says c(2 + x) then you substitute that into x

→ 1.25(2 + x) + 2175  (and then expand that)

b) A physical interpretation of this could be:

For every 1.25 w-widget that is produced, you would add $2175 for the other costs. (something like that)