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The value of line BD in parallelogram ABCD is 2units

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. The Sum of all the interior angles of a parallelogram equals 360 degrees.

The perimeter of a parallelogram is 2(l+w)

if BD is x

AB = 3+2x

P= 2(3+2x+x)

18= 2(3+3x)

divide both sides by

9= 3+3x

subtract 3 fromboth sides

6= 3x

x = 2units

therefore BD= 2units.

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Answer:

b = $2.40

d = $5.70

Step-by-step explanation:

d = hot dog and b = hot dog buns

Equations:

2d + 5b = $23.40

3d + 2b = $21.90

-------------------------------subtract these two equations

-d + 3b = $1.50

3b - $1.50 = d

Substitute:

3d + 2b = $21.90

3(3b - $1.50) + 2b = $21.90

9b - $4.50 + 2= $21.90

11b = 26.40

b =  $2.40

Substitute again but this time with b:

3d + 2b = $21.90

3d + 2($2.40) = $21.90

3d + $4.80 = $21.90

3d = $21.90

d = $5.70

The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

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Using unitary method, the  weight of 3 loves of bread = 1362 grams

The correct answer is an option (c)

Let us assume that m represents the weight of a loaf of bread.

Here, a loaf of bread weighs 454 grams.

So, the value of m = 454 grams

We need to find the weight of 3 loves of bread.

Let us assume that n represents the weight of 3 loves of bread.

Using unitary method the  weight of 3 loves of bread would be,

⇒ n = 3 × m

⇒ n = 3 × 454

⇒ n = 1362 grams

Therefore,  the  weight of 3 loves of bread would be 1362 grams

The correct answer is an option (c)

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The complete question is:

A loaf of bread weighs 454 grams. how much would 3 loaves of bread weigh?

a) 1,364 grams

b) 1,632 grams

c) 1,362 grams

d) 1,327 grams

Answer:

different between the two are that they are am and pm

The mean, median, and mode of the given data set are as follows: Mean = 78.57, Median = 81.5, Mode = 87.

To find the mean, we sum up all the scores and divide by the total number of scores. Adding up the scores: 45 + 52 + 75 + 70 + 78 + 80 + 80 + 83 + 87 + 87 + 87 + 91 + 94 + 99 = 1108. Dividing by the total number of scores (14), we get the mean: 1108/14 = 78.57.

To find the median, we arrange the scores in ascending order: 45, 52, 75, 70, 78, 80, 80, 83, 87, 87, 87, 91, 94, 99. Since we have an even number of scores, the median is the average of the middle two scores. The middle two scores are 80 and 83, so the median is (80 + 83)/2 = 81.5.

To find the mode, we look for the score that appears most frequently. In the given data set, the score 87 appears three times, which is more frequent than any other score. Therefore, the mode is 87.

The mean of the data set is 78.57, the median is 81.5, and the mode is 87. These measures provide different perspectives on the central tendency of the data set. The mean represents the average score, the median represents the middle value, and the mode represents the most frequently occurring score.

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collecting like terms

-5x-20x>10+15

-25x>25

divide both sides by -25

thus: x>25/-25

x>-1

Answer:

0.333333333

Step-by-step explanation:

-2x - 1 > 0 + 1x

Remove the 0 and collect like terms

-2× - 1> 1x

-3x> 1

Divide -3 and 1

-3X > 1

÷3 ÷3

Cancel the -3 and 3 sense they are the same and bring down the X

X> 0.333333333

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Answer:

D

Step-by-step explanation:

To find the total number of paintbrushes in the classroom, we need to multiply the number of paintbrushes on each student's desk by the number of students.

Since there are 5 students and each student has 2 paintbrushes, we can use the multiplication operation to find the total number of paintbrushes:

5 students × 2 paintbrushes per student = 10 paintbrushes

Therefore, the correct option is 4. 5 times 2.

True.

If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.

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The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

Answer:

Indirect or inverse proportion is a relation between two quantities where an increase in one leads to a decrease in the other, and vice-versa. It is just the opposite of direct proportion.

Step-by-step explanation:

-6x-2y=42

x-y=-15

Multiply x-y=-15 by 6 ( eliminate the x first)

6(x-y)=6(-15)

(6)(x)=6x

(6)(-y)=-6y

6(-15)=-90

-6x-2y=42

6x-6y=-90

eliminate x the systems of equations by subtracting

-6x+6x-2y+-6y=42-90

-2y-6y=42-90

-8y=-48

divide both sides by -8 to get y by itself

-8y/-8=-48/8

y=6

Find x by substitution method

use y=6 into one of the system of equations

x-y=-15

x-6=-15

move -6 to the other side

sign changes from -6 to +6

x-6+6=-15+6

x=-15+6

x=-9

answer:

(-9,6)

Answer:

3600

Step-by-step explanation:

We multiple 40 x 90 which is equal to 4 x 10 x 9 x 10.

4 x 9 = 36 and 10 x 10 = 100, so 40 x 90 = 36 x 100 = 3600.

Answer:

The answer is 3,600

Step-by-step explanation:

40x90=3,600

Look at picture for step by step!

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By: BrainlyAnime

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Therefore, if 12 lb of force is applied, a volume of 5 liters is produced.

The relationship between the volume of a gas and the applied pressure is inversely proportional. This means that as the pressure increases, the volume decreases, and vice versa. To solve the problem, we can use the equation for inverse variation, which is V = k/P, where V is the volume, P is the pressure, and k is the constant of variation.

We are given that a pressure of 5 lb produces a volume of 12 L. Using this information, we can plug these values into the equation to solve for k. So, 12 = k/5. To find k, we can multiply both sides of the equation by 5, giving us 60 = k.

Now that we have the constant of variation, k, we can use it to solve for the volume when 12 lb of force is applied. Plugging in the values, we get V = 60/12. Simplifying this equation, we find that V = 5.

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After 30 minutes, there will be 100 pounds of salt in the tank.

Initially, the tank contains 40 pounds of salt.

For every minute, the amount of salt being added is 2 pounds/gallon * 3 gallons/minute = 6 pounds/minute.

The amount of salt being drained off is 2 pounds/gallon * 2 gallons/minute = 4 pounds/minute.

After 30 minutes, the total amount of salt added is 6 pounds/minute * 30 minutes = 180 pounds.

The total amount of salt drained off is 4 pounds/minute * 30 minutes = 120 pounds.

Therefore, the net increase in the amount of salt in the tank is 180 pounds - 120 pounds = 60 pounds.

The final amount of salt in the tank after 30 minutes is 40 pounds (initial amount) + 60 pounds (net increase) = 100 pounds.

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There are 84 ways a student can arrange the schedule consisting of 8;00 am classes ,9;00 am classes and 10;00am classes.

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things For example  Suppose we have 3 shirts (call them A , B , and C ), and 4 pairs of pants (call them w , x , y , and z ). Then we have 3×4=12.

If an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m × n.Then we can use formula to find.

Now we get

8;00 am classes =7 ways

9;00 am classes=4 ways

10;00 am classes=3 ways

So that the event could occur in following sequence

7.4.3 = 84  ways

Hence 84 ways can student arrange the schedule.

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Question

Choose the correct form of the missing verb in each sentence.

The field trip for the preschoolers

✔ starts

 at 10:00 a.m.

Several of the students in the class

✔ arrive

 early.

The total number of students participating in a school club or sport is 105.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Given that three out of 5 students at Maria's school participate in a school club or sport and there are 175 students at the school.

In this situation, the number of people that participate will be:

= Fraction utilized × Total number of students

= 3/5 × 175

= 105

The number of people is 105.

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Answer:

Step-by-step explanation:

Perimeter

Area

Answer:

D

Step-by-step explanation:

Answer:

=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a calculator that gives step-by-step help on algebra problems. See More Examples ». x+3=5. 1/3 +

Step-by-step explanation:

Answer:

y=x^2+1

Step-by-step explanation: 4x+2=2 (x+6)

Answer:

453

Step-by-step explanation:

12×48=576 (number of stickers she has)

576-123=453 (number of stickers she had-number of stickers she had left)

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

Answer:

r = 54 miles per hour

Step-by-step explanation:

Since we have been given the values for two of the unknowns, we can substitute them into the equation to find the third.

d = 405

t = 7.5

d = rt

405 = r (7.5)

405=7.5r

Now to find r, we need to get it by itself on one side so we have r = ...

We can do this by dividing 7.5 from both sides of the equation as this will cancel out the 7.5, leaving us with the r value, and everything you do to one side of an equation must also be done to the other side.

405/7.5=7.5r/7.5

54=r

The unknown value 'r' = 54

Since 'r' stands for 'rate', the units given must be appropriate for speed. As the distance was given in miles, and the time in hours, the unit for 'r' must be miles/hour. Therefore r=54miles/hour.

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