# Cameron cooks 3/4 pounds of pasta.if she serves the pasta in three equal size bowls,about how much does she put into each bowl?

QUESTION POSTED AT 13/11/2019 - 05:20 PM

QUESTION POSTED AT 13/11/2019 - 05:20 PM

So 3/4

divide by 3

3/4 divided by 3=3/4 times 1/3=1/4 times 3/3=1/4 times 1

1/4 pound of pasta per bowl

divide by 3

3/4 divided by 3=3/4 times 1/3=1/4 times 3/3=1/4 times 1

1/4 pound of pasta per bowl

Distance = 280 km

Average speed = 10 km/h

Time = Distance / Speed

Time = 280 km / 80 km/h

= 3.5 hours.

If the driver's speed reduced by 10 km/h, speed = 80 - 10 = 70 km/h

Time = Distance / Speed

Time = 280 km / 70 km/h

= 4 hours.

The time would be longer by : 4 - 3.5 = 0.5 hours.

0.5 * 60 = 30 minutes.

It would be longer by 0.5 hours or 30 minutes.

Average speed = 10 km/h

Time = Distance / Speed

Time = 280 km / 80 km/h

= 3.5 hours.

If the driver's speed reduced by 10 km/h, speed = 80 - 10 = 70 km/h

Time = Distance / Speed

Time = 280 km / 70 km/h

= 4 hours.

The time would be longer by : 4 - 3.5 = 0.5 hours.

0.5 * 60 = 30 minutes.

It would be longer by 0.5 hours or 30 minutes.

ANSWERED AT 25/01/2020 - 01:38 PM

QUESTION POSTED AT 25/01/2020 - 01:38 PM

**Answer:**

**Option (a) is correct.**

**If she puts 0 in the box she would have a direct variation.**

**Step-by-step explanation:**

Given : Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that the equation could represent a direct variation.

**When two variables are such that one is a constant multiple of other, we said they are in Direct variation.**

**That is in form of y = ax , here y and x are in direct variation.**

Consider the given equation y = 5x - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,

y = 5x

**Thus, If she puts 0 in the box she would have a direct variation.**

**Option (a) is correct.**

ANSWERED AT 24/01/2020 - 10:56 PM

QUESTION POSTED AT 24/01/2020 - 10:56 PM

**Answer:**

**Option A is correct**

**Step-by-step explanation:**

Direct variation says that:

then;

**the equation is in the form of**

, where k is the constant of variation

**As per the statement:**

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog.

Here, **w** represents the weight and **d** represents the dosage

then ,by definition of direct variation we have;

.....[1]

**It is also given that if the veterinarian gives a 30-pound dog 3/5 milligram of the medicine**

⇒w = 30 pound and d = 3/5 milligram

Substitute in [1] we have;

**Multiply both sides by 5 we have;**

**Divide both sides by 150 we have;**

Simplify:

⇒

**therefore, equation relates the weight, w, and the dosage, d is:**

ANSWERED AT 24/01/2020 - 10:56 PM

QUESTION POSTED AT 24/01/2020 - 10:56 PM

False that is not true

ANSWERED AT 24/01/2020 - 10:55 PM

QUESTION POSTED AT 24/01/2020 - 10:55 PM

B- 1/2 the books are science books. You have to add the two fractions and subtract that from one.

ANSWERED AT 24/01/2020 - 10:53 PM

QUESTION POSTED AT 24/01/2020 - 10:53 PM

The resultant force is the sum of all forces positioned at different directions and placed in a specific angle. In this case, we can take the short way to answer this problem. we use the calculator and shift the mode to complex to add 100<50 and 50<160. the answer is 95.29<79.54. The magnitude is 95.29 pounds and the angle is 79.54°.

ANSWERED AT 24/01/2020 - 10:51 PM

QUESTION POSTED AT 24/01/2020 - 10:51 PM

ANSWERED AT 24/01/2020 - 10:50 PM

QUESTION POSTED AT 24/01/2020 - 10:50 PM

**Answer: The answers are ****CA**** and ****diameter.**

**Step-by-step explanation: **As given in the question, a circle with centre 'O' is passing through three A, B and C, where ∠B is a right angle.

In the circumscribed circle, we have the **converse of the Thales' theorem, which states that -**

**if A, B, and C are distinct points on a circle where angle ∠ABC is a right-angle, then the line AC will be a diameter of the circle.**

The given information is drawn in the attached figure.

Applying the **converse of Thales' Theorem, we have AC will be a diameter of the circle.**

We know that the diameter of a circle is a chord parring through the centre, **so the centre will lie on the ****line segment CA****.**

Since the opposite side of the right-angle is the longest side (hypotenuse) in a right-angled triangle, **so we have CA as the longest side of ΔABC.**

**Since CA is also a diameter of the circle, so the longest side of the triangle is equal to the ****diameter**** of the circle.**

Thus, the centre will lie on the** line segment CA **and the longest side of the triangle is equal to** the diameter **of the circle**.**

ANSWERED AT 24/01/2020 - 10:48 PM

QUESTION POSTED AT 24/01/2020 - 10:48 PM

17

hope this helps!!!

hope this helps!!!

ANSWERED AT 24/01/2020 - 06:06 PM

QUESTION POSTED AT 24/01/2020 - 06:06 PM

First, how many pounds are equal to 1 ton? 2000

Then, $0.70 x 2000 pounds

So, the cost to move is $1,400

Yep. It's that simple. :)

ANSWERED AT 24/01/2020 - 06:03 PM

QUESTION POSTED AT 24/01/2020 - 06:03 PM

**Answer:**

Another Apex Question Like This:

Suppose the x-axis of a density graph represents someone's weight in pounds. If the area under the density graph from 120 pounds to 140 pounds is 0.28, what is the probability of someone's weight being anywhere from 120 pounds to 140 pounds?

(28% Is answer to this question)

**Step-by-step explanation:**

ANSWERED AT 24/01/2020 - 06:01 PM

QUESTION POSTED AT 24/01/2020 - 06:01 PM

X greater than or equal to 128

ANSWERED AT 24/01/2020 - 06:01 PM

QUESTION POSTED AT 24/01/2020 - 06:01 PM

In the question "Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?"
The probability of an event, say A given another event, say B is given by n(A and B) / n(B).
Thus the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day is given by number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day / number of persons that consume 2,000 to 2,500 calories per day.
From the table, the number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day is 10 while the number of persons that consume 2,000 to 2,500 calories per day is 110.
Therefore, the required probability is 10 / 110 = 1 / 11

ANSWERED AT 24/01/2020 - 05:57 PM

QUESTION POSTED AT 24/01/2020 - 05:57 PM

2/3 x + 1/3 = 17

Subtract 1/3

2/3x = 16 2/3

Divide by 2/3

x = 25

Subtract 1/3

2/3x = 16 2/3

Divide by 2/3

x = 25

ANSWERED AT 24/01/2020 - 05:48 PM

QUESTION POSTED AT 24/01/2020 - 05:48 PM

It will move but won't change shape or size.

ANSWERED AT 24/01/2020 - 05:05 PM

QUESTION POSTED AT 24/01/2020 - 05:05 PM

Add 3 to isolate y

3.8 + 3.8 = 1.9z - 3.8 + 3.8

7.6 = 1.9z

Divide by 1.9

4 = z

3.8 + 3.8 = 1.9z - 3.8 + 3.8

7.6 = 1.9z

Divide by 1.9

4 = z

ANSWERED AT 24/01/2020 - 05:03 PM

QUESTION POSTED AT 24/01/2020 - 05:03 PM

Answer:1/5

Step-by-step explanation:

ANSWERED AT 24/01/2020 - 04:47 PM

QUESTION POSTED AT 24/01/2020 - 04:47 PM

80 is the answer...........

ANSWERED AT 24/01/2020 - 04:06 PM

QUESTION POSTED AT 24/01/2020 - 04:06 PM

Let us first obtain the standard form of each equation:

f(x): | using points (1,1) and (2,5)

y - 1 = [(5-1)/(2-1)] (x - 1)

y - 1 = 4x - 4

y = 4x - 3

g(x) : | using points (-2,5) and (0,-3)

y - 5 = [(-3-5)/(0+2)] (x + 2)

y - 5 = -4x -8

y = -4x - 3

h(x) = -4x + 3

j(x) = 4x + 3

In summary:

f(x) = 4x - 3

g(x) = -4x - 3

h(x) = -4x + 3

j(x) = 4x + 3

f(x) and j(x) both have the same slope, but start on different y-ordinates. g(x) and h(x) have the same slope, which is the negative of the slope of f(x) and j(x).

f(x): | using points (1,1) and (2,5)

y - 1 = [(5-1)/(2-1)] (x - 1)

y - 1 = 4x - 4

y = 4x - 3

g(x) : | using points (-2,5) and (0,-3)

y - 5 = [(-3-5)/(0+2)] (x + 2)

y - 5 = -4x -8

y = -4x - 3

h(x) = -4x + 3

j(x) = 4x + 3

In summary:

f(x) = 4x - 3

g(x) = -4x - 3

h(x) = -4x + 3

j(x) = 4x + 3

f(x) and j(x) both have the same slope, but start on different y-ordinates. g(x) and h(x) have the same slope, which is the negative of the slope of f(x) and j(x).

ANSWERED AT 24/01/2020 - 12:38 PM

QUESTION POSTED AT 24/01/2020 - 12:38 PM

The *correct answers* are:

x ≤ 3 and y < 4.

**Explanation**:

We can isolate the variable y in the first inequality by subtracting x from each side:

x+y < 8

x+y-x < 8-x

y < 8-x

Now we can substitute this into the second inequality:

3x ≤ y + 6

3x ≤ 8-x+6

Combining like terms on the right, we have

3x ≤ 14-x

We will add x to each side so that we only have a variable on one side of the inequality:

3x+x ≤ 14-x+x

4x ≤ 14

Divide both sides by 4:

4x/4 ≤ 14/4

x ≤ 3.5

Now we substitute this into the first inequality:

3.5+y<8

Subtract 3.5 from each side:

3.5+y-3.5 < 8-3.5

y < 4.5

Our solutions are x ≤ 3.5 and y < 4.5. However, we are asked to find the whole number solutions; this involves some rounding. While 3.5 would round up to 4, it will not work in our inequality, since x is to be less than or equal to 3.5 and 4 is neither less than nor equal to this number. Thus we say that x is less than or equal to 3.

4.5 would round up to 5; however, it will not work either, since y is to be less than 4.5 and 5 is not less than 4.5. Thus we say that x is less than 4.

ANSWERED AT 24/01/2020 - 12:36 PM

QUESTION POSTED AT 24/01/2020 - 12:36 PM

**Answer:**

The statement is:

**Option: a**

a. the requirement that A>or equal to 0 is not satisfied.

**Step-by-step explanation:**

We know that the standard form of a line is represented in the form:

Ax+By=C

where A is a positive integer and B,C are integers.

Here we are given a equation as:

-2x+3y=-5

Here we do not have a equation in standard form since A=-2<0

but for the equation to be in standard form A≥0

**Hence, the statement that best applies to why the equation is not written in standard form is:**

** a. the requirement that A>or equal to 0 is not satisfied. **

ANSWERED AT 24/01/2020 - 12:35 PM

QUESTION POSTED AT 24/01/2020 - 12:35 PM

T=number of hours she tutors.

r=number of hours she works a receptionist.

Tori is only able to work up to 20 hours per week.

t+r≤20

She tutors for $30 per hour and works as a receptionist for $10 per hour. She must earn at least $200 per week.

30t+10r≥200

**Answer: t+r less than or equal to 20; 30t+10r greater than or queal to 200.**

**t+r≤20**

**30t+10r≥200**

r=number of hours she works a receptionist.

Tori is only able to work up to 20 hours per week.

t+r≤20

She tutors for $30 per hour and works as a receptionist for $10 per hour. She must earn at least $200 per week.

30t+10r≥200

ANSWERED AT 24/01/2020 - 12:31 PM

QUESTION POSTED AT 24/01/2020 - 12:31 PM

Two-step equations require all numbers to be whole numbers in order to solve is the statement that is not true about solving two-step equations. The correct option among all the options that are given in the question is the third option or option "C". I hope that this answer has come to your help.

ANSWERED AT 24/01/2020 - 12:27 PM

QUESTION POSTED AT 24/01/2020 - 12:27 PM

0, 180, 360, 540, and 720. Hope this helps.

ANSWERED AT 24/01/2020 - 12:20 PM

QUESTION POSTED AT 24/01/2020 - 12:20 PM

We are given with the cost of concrete equal to $98 per cubic yard. Paul needs is $108.89. Hence the cubic yard is equal to $108.89/ $98 per cubic yard or 1.1111 cubic yards. 1.1111 cubic yards is equal to 30.0024 cubic feet. From the given, 12 feet long length and 0.5 feet height, we get the width equal to 30.0024 cubic feet/12 feet/0.5 feet or 5 feet. The width needed is 5 feet.

ANSWERED AT 24/01/2020 - 12:17 PM

QUESTION POSTED AT 24/01/2020 - 12:17 PM

For this case we have the following inequality:

We must rewrite the inequality to find the solution.

By doing distributive property we have:

Adding similar terms we have:

Combining similar terms:

Rewriting we have:

Clearing the value of x we have:

Therefore, the solution set is:

(-∞, 3]

**Answer:
**

**The following is not a way to represent the solution of the inequality:
**

**A number line with a closed circle on 3 and shading to the right**

ANSWERED AT 24/01/2020 - 12:10 PM

QUESTION POSTED AT 24/01/2020 - 12:10 PM

Part A. 50*a+ 0.6*200= 1620

Part B.

Using subtraction property in an equation:

50*a + 0.6*200 -0.6*200=1620 - 0.6*200

50*a=1620-0.6*200

Simplifying:

50*a = 1620-120 =1500

Using division property:

50*a/50 = 1500/50

a= 30

Part C. 50*a+ 0.6*200= 1620

Simplifying:

a=(1620 - 0.6*200)/50

a= 30 days

Part B.

Using subtraction property in an equation:

50*a + 0.6*200 -0.6*200=1620 - 0.6*200

50*a=1620-0.6*200

Simplifying:

50*a = 1620-120 =1500

Using division property:

50*a/50 = 1500/50

a= 30

Part C. 50*a+ 0.6*200= 1620

Simplifying:

a=(1620 - 0.6*200)/50

a= 30 days

ANSWERED AT 24/01/2020 - 12:05 PM

QUESTION POSTED AT 24/01/2020 - 12:05 PM

The equation that may be derived by the given conditions,

at = a1 x 2^(t / 3)

where at is the population of crickets at any time t in months, a1 is the initial population (250). Substituting the values to the equation,

at = (250) x 2^(2x12 / 3) = 64000

Thus, the population of crickets after 2 years is 64,000.

at = a1 x 2^(t / 3)

where at is the population of crickets at any time t in months, a1 is the initial population (250). Substituting the values to the equation,

at = (250) x 2^(2x12 / 3) = 64000

Thus, the population of crickets after 2 years is 64,000.

ANSWERED AT 24/01/2020 - 12:05 PM

QUESTION POSTED AT 24/01/2020 - 12:05 PM

The equation is:

f ( t )=

f ( t )=

ANSWERED AT 24/01/2020 - 12:05 PM

QUESTION POSTED AT 24/01/2020 - 12:05 PM

The __correct answers__ are:

6.5 cm = 65.00001052 torr

6.5 cm = 8665.93 Pa

6.5 cm = 0.08552632119 atm

**Explanation**

The conversion rate from centimeters mercury (cm Hg) to torr is

1 torr = 0.099999983814461 cm.

We have 6.5 cm; this means to convert we divide:

6.5/0.099999983814461 = 65.00001052

The conversion rate from cm Hg to Pascals (Pa) is

1 cm = 1333.22 Pa

We have 6.5 cm; this means to convert we multiply:

6.5(1333.22) = 8665.93

The conversion rate from cm Hg to atmospheres (atm) is

1 atm = 75.999995199606 cm

We have 6.5 cm; this means to convert we divide:

6.5/75.999995199606 = 0.08552632119

6.5 cm = 65.00001052 torr

6.5 cm = 8665.93 Pa

6.5 cm = 0.08552632119 atm

The conversion rate from centimeters mercury (cm Hg) to torr is

1 torr = 0.099999983814461 cm.

We have 6.5 cm; this means to convert we divide:

6.5/0.099999983814461 = 65.00001052

The conversion rate from cm Hg to Pascals (Pa) is

1 cm = 1333.22 Pa

We have 6.5 cm; this means to convert we multiply:

6.5(1333.22) = 8665.93

The conversion rate from cm Hg to atmospheres (atm) is

1 atm = 75.999995199606 cm

We have 6.5 cm; this means to convert we divide:

6.5/75.999995199606 = 0.08552632119

ANSWERED AT 24/01/2020 - 12:05 PM

QUESTION POSTED AT 24/01/2020 - 12:05 PM