The table shows the price of potatoes. The price varies directly with the weight in pounds.


Explain what the origin represents in this situation.


What is the unit rate for this direct variation? If the unit rate is less than one, put a zero to the left of the decimal point.

For this case we have to:

x: Variable that represents the points scored by Bev

y: Variable that represents the points scored by Ike

According to the data we have:

[tex]x = 540\\x = y + 158[/tex]

We substitute the first equation in the second one:

[tex]540 = y + 158[/tex]

We clear the variable "y":

[tex]y = 540-158\\y = 382[/tex]

So, Ike scored 382 points.

Answer:

Ike scored 382 points.

Answer: 6 2/3 minutes

Step-by-step explanation:

30-23 1/3=6 2/3

Answer: [tex]\frac{20}{3}\ minutes[/tex] or [tex]6 \frac{2}{3}\ minutes[/tex]

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

[tex]23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes[/tex]

You know that he had 30 minutes in time-out, he counted spots on the ceiling for [tex]\frac{70}{3}[/tex] minutes and the rest of the time he made faces at his stuffed tiger.

Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and [tex]\frac{70}{3}[/tex] minutes:

[tex]30\ min-\frac{70}{3}=(\frac{3(30)-70}{3})=\frac{20}{3}\ minutes[/tex] or [tex]6 \frac{2}{3}\ minutes[/tex]

Answer:

x+4

Step-by-step explanation:

Answer:

2) 10

4) 7

6) 7

Step-by-step explanation:

what equals 10? 10

what is subtracted from 3 equals 4? 7

what is multiplied by 7 and equals 49? 7

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KA

Answer:

2. For every 3 baskets he makes, Christian misses 4 baskets.

3. For every 2 baskets he misses, Domonic makes 5 baskets.

Step-by-step explanation:

Christian 3:4 ratio

for every 3 made he misses 4

3:4 = 6:8

Dominic 5:2

for every 5 made he misses 2

5:2 = 10:4

Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

[tex]\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}[/tex]

[tex]x = 2 \text{ or }x = 6[/tex]

2. Find the measures of the angles

(a) x = 2

∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0

This answer does not make sense because O lies in the interior of ∠MNP.

We disregard x = 2.

(b) x = 6

∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24

Answer:

B. (-2, 15)

Step-by-step explanation:

Pretend that your fixed point [2, 9] is at the origin for now by translating it two units west then nine units south [0, 0]. Now, the same goes for [6, 3]. Translate it two units west then nine units south to get [4, -6]. Then, according to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

[4, -6] → [-4, 6]

Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks north then 2 blocks east:

→ [0, 0] back to [2, 9]

Translation

→ [-4, 6] to the new coordinate of [-2, 15]

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Answer:

Step-by-step explanation:

[tex]\dfrac{2q+8}{10}=10\\\\\text{We simplify the equation by getting rid of the denominator.}\\\\\bold{multiply\ both\ sides\ by\ 10}\\\\10\!\!\!\!\!\diagup^1\cdot\dfrac{2q+8}{10\!\!\!\!\!\diagup_1}=(10)(10)\\\\2q+8=100\qquad\bold{subtract\ 8\ form\ both\ sides}\\\\2q+8-8=100-8\\\\2q=92\qquad\bold{divide \both\ sides\ by\ 2}\\\\\dfrac{2q}{2}=\dfrac{92}{2}\\\\q=46[/tex]

Answer:

x = [tex]\frac{g-f}{h-e}[/tex]

Step-by-step explanation:

Given

f - ex = g - hx

Collect the terms in x on the left side by adding hx to both sides

hx - ex + f = g ( subtract f from both sides )

hx - ex = g - f ← factor out x on the left side

x(h - e) = g - f ← divide both sides by (h - e)

x = [tex]\frac{g-f}{h-e}[/tex]

The upper boundary on x is 5. Divide this over each endpoint of the y inequality

5/0.25 = 20

5/4 = 1.25

we see that the first result 20 is largest

This means that the upper bound of x/y is 20.

Therefore b = 20.

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

The lower boundary on x is -4. Divide this over each endpoint of the y inequality

-4/0.25 = -16

-4/4 = -1

The result -16 is further to the left compared to -1, so therefore it is smaller.

The lower bound of x/y is -16.

This means a = -16.

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

We found that a = -16 and b = 20. Therefore, a+b = -16+20 = 4

The total number of blocks in Troy's toy bin is 50, which is the sum of 14 red blocks, 20 yellow blocks, and 16 blue blocks.

To solve the problem regarding Troy's toy bin, we need to use basic arithmetic to calculate the total number of blocks of each color and then add them together to find the total number of blocks in the bin.

Troy has 14 red blocks, so let's represent the number of red blocks as R = 14. It's mentioned that there are 6 more yellow blocks than red blocks, which means the number of yellow blocks Y = R + 6 = 14 + 6 = 20.

The problem states that there are 2 more blue blocks than red blocks, so the number of blue blocks B = R + 2 = 14 + 2 = 16.

Now, to find the total number of blocks in the bin, we simply add the numbers of red, yellow, and blue blocks:

Total blocks = R + Y + B = 14 + 20 + 16 = 50.

Therefore, there are 50 blocks in Troy's toy bin in all.

#1: 10x=80

#2: A test is worth 100 points. Each question, x, is worth 12a point.

#3: 2x+4=22

#4: Price of one shirt

#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.

Answer:

hope this helps

Step-by-step explanation:

#1: 10x=80

#2: A test is worth 100 points. Each question, x, is worth 12a point.

#3: 2x+4=22

#4: Price of one shirt

#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.

Answer:

4/9

Step-by-step explanation:

dividing two negatives equal to a positive so -4 and -9 will be 4÷9 which is 4/9

Answer:

[tex] \frac{3 \frac{9}{16}}{2x - 1} [/tex]

Step-by-step explanation:

Use Polynomial Long Division to get this:

[tex] \frac{x^{3}}{2} + \frac{ {x}^{2} }{4} + \frac{x}{8} - 1 \frac{7}{16} + \frac{3 \frac{9}{16}}{2x - 1} [/tex]

The remainder is the quantity being set over the divisor, which is 2x - 1.

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Answer:

d 1–2i

Step-by-step explanation:

(4–7i)+(–3+5i)=1–2i

The sum of the complex numbers 4−7i and −3+5i is obtained by adding the real parts and the imaginary parts separately. This gives a result of 1 - 2i.

To find the sum of two complex numbers, you simply add the real parts together and the imaginary parts together separately.

So, you add the real parts (4 and -3), which equals 1, and the imaginary parts (-7i and 5i), which equals -2i.

Thus, the sum of the complex numbers 4−7i and −3+5i is 1 - 2i.

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Answer:

1323 rounds to 1320

443 rounds to 440

409 rounds to 410

1320 - (440 + 410) =

1320 - 850 =

470 <=== malcolm has about 470 miles left to go

Step-by-step explanation:

Answer:

Step-by-step explanation:1323 rounds to 1320

443 rounds to 440

409 rounds to 410

1320 - (440 + 410) =

1320 - 850 =

470 <=== kimberly has about 470 miles left to go

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Answer:

#1 is 4.8 F and #2 is $35.52

Step-by-step explanation:

#1 Basic subtraction

9.4-4.6=4.8

#2

71.24-46.79-18.93+30

Break it out 71.24-46.79=24.45

Then 24.45 - 18.93= 5.52

Lastly 5.52+30=35.52

Answer:

2/3

Step-by-step explanation:

4x+3=5+x

4x-x=5-3

3x=2

x=2/3

Step-by-step explanation:

Let the number be x

x + 3x = 92

4x = 92

x = 92/4

x = 23

Step-by-step explanation:

compound interest --> initial sum × increase^years

the increase is 1 + (percentage increase / 100)

initial sum = 100

increase= 1.05

years= 10

100 × 1.05^10 = 162.8894627...

so Sydney will have 164 dollars (to the nearest dollar)

Answer:

14

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KA

Answer:

there 14 away from each other

Step-by-step explanation:

Answer:

answer is a

Step-by-step explanation:

answer would be a because a reflection does not change the size or shape of any figure

A reflection of a shape maintains its size and shape, changing only its position and orientation. Thus, the perimeters and corresponding side lengths of reflected triangles FGH and ABC are equal.

When a shape is reflected across a line, its shape and size remain the same, although its orientation and position may change. Therefore, a reflection is a type of transformation called an isometry, also known as a congruence transformation. In the case of triangle FGH being reflected to form triangle ABC:

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Answer:

width = 2.9 cm

Step-by-step explanation:

Since there are two sides that equal to length on a rectangle, you double the length. Then, you subtract that number to find (width * 2). Then you divide that by 2 to get your answer (2.9 cm).

Answer:

Step-by-step explanation:

So first what you need to do is try subtracting 40 and 20 then multiplying 40

Answer:

B.4 Correct Answer

Step-by-step explanation:

Answer:

4 units B on Edgen

Step-by-step explanation:

Answer:32.735 is greater

Step-by-step explanation:

A mouse and grass in a meadow are similar as they both play vital roles in the energy flow within a meadow ecosystem. Grass acts as a primary producer, capturing energy from the sun, while the mouse, as a herbivore, acts a primary consumer, eating the grass and moving energy up the chain.

A mouse and grass in a meadow can be seen as similar in the context of a biological ecosystem. In a meadow ecosystem, both play crucial roles.

The grass forms the primary producer layer of the food chain, as it harnesses energy from the sun to produce food via photosynthesis.

This provides the basic energy source for other members of the ecosystem. The mouse, on the other hand, is part of the primary consumer layer of the food chain.

As a herbivore, it consumes the grass for energy, thus transferring the energy obtained from the sun up the food chain. So, the similarity of the mouse and the grass in a meadow lies in their integral roles in the energy flow within an ecosystem.

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Answer:

30. -5,-2,|-2|,|3|,8

32. -12,|10|, |-12|,|-15|,|-26|

Step-by-step explanation:

Answer:

[tex]-12, -2,|-2|, |3|, |-5|, 8, |10|, |-12|, |-15|, |-26|[/tex]

Step-by-step explanation:

We can start with -12

Because this is in the negatives

Along with -2

so:

-12, -2

We then put |-2| because when the |x| are around a number, it makes the number in the bars always positive. Therefore:

-12, -2, |-2|

The same goes for |3|:

-12, -2, |-2|, |3|

Same for |-5|:

-12, -2, |-2|, |3|, |-5|

8 will go next:

-12, -2, |-2|, |3|, |-5|, 8

|10| is positive, and next:

-12, -2, |-2|, |3|, |-5|, 8, |10|

Same for |-12|:

-12, -2, |-2|, |3|, |-5|, 8, |10|, |-12|

Same for |-15|:

-12, -2, |-2|, |3|, |-5|, 8, |10|, |-12|, |-15|

Same for |-26|:

-12, -2, |-2|, |3|, |-5|, 8, |10|, |-12|, |-15|, |-26|

Answer:

0.071

Step-by-step explanation:

0.07131 rounded to 3 decimal places would be 0.071 (because it is the nearest number to 3 decimal places)