If x = 3 and y = 6, evaluate the following expression:
100 – 3(3y - 4x)

Answer:

it's e and

Step-by-step explanation:

if it's 5/5 it =1, if it's 4/4 it equals 1 if its 6/6 it equals 1, if both numbers are the same it equals 1

Answer:

Step-by-step explanation:

Once you understand the vocabulary, I'm sure you could do another question like this. It means that you need to take all the fractions that equal 1/1 or just 1.

So to get to the answer, BEF is what you are looking for.

Notice what each of BEF have in common.

Their numerators (Top) and denominators (bottom) are the same. That means they cancel down to 1.

The bank discount ask yield on a Treasury bill with a face value of $10,000 and 87 days to maturity is 3.4%.

Treasury bills are short-term debt instruments issued by the government to raise funds. They are sold at a discount to their face value and mature at par. The bank discount yield is the annualized rate of return based on the discount price and face value. To calculate the yield, we use the formula:

Bank Discount Yield = (Discount / Face Value) * (360 / Days to Maturity)

In this case, the discount is the difference between the face value and the price at which the T-bill is selling. Let's assume the price is P. The discount is then calculated as: Discount = Face Value - P.

Substituting the given values, we have: Discount = $10,000 - P.

The bank discount yield is 3.4%, which means:

0.034 = (Discount / $10,000) * (360 / 87)

Solving for Discount, we find Discount ≈ $139.08.

Substituting this value back into the Discount formula, we can find the price P ≈ $9,860.92.

Therefore, the T-bill is selling at a price of approximately $9,860.92, and the bank discount ask yield is 3.4%.

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Answer:

Step-by-step explanation:

Answer: 900

Step-by-step explanation:

0.15(x+500)=210

1400=x+500

x=900

Answer:

the distance between -4 and -14 is 10

Step-by-step explanation:

they both as negative numbers

Distance = 10

⇒ Distance = Larger integer - Smaller integer

In this case, the larger integer is -4 and the smaller integer is -14. Keep in mind that if two integers are negative, the integer that is closest to 0 is greater than the other integer.

⇒ Distance = (-4) - (-14)

Simplify the expression on the R.H.S:

⇒ Distance = -4 + 14                                                            [-1 x -1 = 1]

⇒ Distance = 10

Answer:

80%

Step-by-step explanation:

We need to find the percent of change from 3,545 pt to 709 pt.

Original value is 3,545

Changed value is 709

Percent change is given by :

\(\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%\)

So, there is 80% of change from 3,545 pt to 709 pt.

Answer:

A: $476.72

B: $3162

Step-by-step explanation:

The equations you would use to form a system of equations for this scenario are  x + y = 12  and 3.5x + 4.5y = 50 .

Given : Penny needs 12 ounces of a snack mix that is made up of chocolate and almonds.

chocolate costs $3.50 per ounce

almonds cost $4.50 per ounce

Since ,penny has $50 to spend and plans to spend it all.

let x = the amount of chocolate

let y = the amount of almonds

Total ounces should be 12

and hence

x + y = 12

and total money to spend is 50, hence

3.5x + 4.5y = 50

Therefore, these are the two equations you should use

x + y = 12

3.5x + 4.5y = 50

Hence , equations you would use to form a system of equations for this scenario are  x + y = 12  and 3.5x + 4.5y = 50 .

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The correct interpretation of the P-value in this scenario is: "There is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance if the true mean weight is 140 grams."

The P-value represents the probability of obtaining a sample mean as extreme as, or more extreme than, the observed value, assuming the null hypothesis is true. In this case, the null hypothesis would state that the mean weight of the Gala apples is 140 grams.

Since the P-value (0.054) is greater than the significance level (α = 0.05), it is not statistically significant at the 0.05 level. This means that we do not have strong evidence to reject the null hypothesis. However, the P-value is relatively close to the significance level, indicating that there is a moderate probability of observing a sample mean of 144 grams or greater if the true mean weight is actually 140 grams.

Therefore, we can interpret the P-value as indicating that there is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance alone if the true mean weight of Gala apples is 140 grams.

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Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.

Step-by-step explanation:

Answer: Yes it is a direct proportional relationship

================================================

Explanation:

The equation is in the form y = kx, where

x = number of sheets of paper

k = weight of 1 sheet of paper

y = weight of all the x sheets of paper

x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).

Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.

Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.

The solution to the line diagram are:

1) AB

2) Point B

3) A, B and C are the three collinear points

4) ABD

1) A line can be defined by two points that are connected by the given line.

We can see that the line r connects the points A and B, then we can call this line as:

AB (the notation usually uses a double arrow in top of the letters)

2) In the image we can see that lines r and s intersect at the point B, then another name for that intersection is: B.

3) 3 collinear points are 3 points that are connected by a single line, an example of this can be the points A, B and C.

4) A plane can be defined by a line and a point outside the line.

For example, we can choose the line AB and the point D, that does not belong to the line.

Then we can call the plane as ABD.

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Answer:

The scale is 1/3

Step-by-step explanation:

Answer:

the answer is -60........

Answer:

-60! 1560 divided by 26 is 60, but any negative divided by a positive is a negative, so the product will be negative as well.

Step-by-step explanation:

Hope it helps! =D

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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Midpoint formula:

(X1+x2)/2, (y1+y2)/2

Midpoint: (-12+7)/2 , (5+9)/2

=( -5/2,7)

The answer is a.

Answer:

Multiply by 2 on each side

Use distributive property to multiply x by 2 and-3 by 2.

Answer:

Sqrt of 160

Step-by-step explanation:

The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160

Answer:

The answer is b=0 or b=9.085603

Answer:

\(b^{2} \sqrt{30b}\)

Step-by-step explanation:

Answer:

46% NOT chocolate

Step-by-step explanation:

27/50 are chocolate

so that means the rest, 23/50, are not chocolate

We can double both numbers to keep the correct ratio but turn it into 46/100 or 46%

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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All the correct values are,

1) 3π/2

2) 11π/18

3) 31π/12

4)  150 degree

5)  135 degree

6)  540 degree

7) tan 90° = ∞

8|) sin 7π/6 = - 1/2

We can change the value degree to radian as;

1) 270°

⇒ 270° × π/180

⇒ 3π/2

2) 110°

⇒ 110 × π/180

⇒ 11π/18

3) 315°

⇒ 315 × π/180

⇒ 63π/36

⇒ 31π/12

We can change the value radian to degree as;

4) 5π/6

⇒ 5π/6 × 180 /π

⇒ 5×180 / 6

⇒ 5 × 30

⇒ 150 degree

5) 3π/4

⇒ 3π/4 × 180/π

⇒ 3 × 180 / 4

⇒ 3 × 45

⇒ 135°

6) 3π

⇒ 3π × 180 / π

⇒ 540°

The exact value of trig function are,

7) tan π/2

⇒ tan 90° = ∞

8) sin 7π/6

⇒ sin 210°

⇒ - 1/2

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Answer:

A Mid-Segment

Step-by-step explanation:

A triangle mid-segment is a line segment whose endpoints are the midpoints of a triangle.

Hope I helped!

Answer:

4.66666

Step-by-step explanation:

Answer:

6 cm

13 cm

14 cm

Step-by-step explanation:

a) length of AC

= 3² + 5²

= √36

= 6 cm

b) length of BG

= 5 cm + 8 cm

= 13 cm

c) length of BF

= 6 cm + 8 cm

= 14 cm

Answer:

C

Step-by-step explanation:

E's coordinates are (-2,-4). When you will reflect the point about y axis, the new coordinates will be (2,-4)

Answer: C (2,-4)

Step-by-step explanation: