solve this question 1

Answer:

x =30

Step-by-step explanation:

2x-22+5x-8=180 (st. line)

7x-30=180

7x=210

x=210/7

x=30

Answer:

CD=2

BC=3

A1B1=2.4

D1E1=3.2

For the boxes on the bottom:

BC=B1C1     CD=C1D1

A1B1=AB      D1E1=DE      

Answer:

BC = 3

CD = 2

A1 B1 = 2.4

D1 E1 = 3.2

Answer: 240=2⁴*3*5

240=2*2*2*2*3*5

240=2⁴*3*5

Answer: x=-4

Step-by-step explanation:

There is a difference of actual and approximations 9.46 dollars.

Unitary method is a mathematical way of first deriving the value of a single unit then multiplying the given unit to obtain the required result.

According to the given question we have to compare the results where in first case we put actual values and on the second case we round the values.

In the first case

You're going on a 1211 mile trip, and your car gets about 29 miles per gallon.

So, the total fuel consumption will be (1211/29) gallons which is

= 41.76 gallons.

Given 1 gallon of gas costs 3.10 dollars.

∴ 41.76 gallons of gas will cost ( 41.76×3.10) dollars which is

= 129.456 dollars.

= 129.46 dollars.

In the second case

It is a 1200 mile trip and the fuel economy of the car is 30 miles per gallon.

So, the total fuel consumption will be

= 1200/30

= 40 gallons.

Given 1 gallon of gas costs 3 dollars.

∴ 40 gallons of gas costs (40×3) dollars which is

= 120 dollars.

learn more about unitary method here :

https://brainly.com/question/14793162

#SPJ1

Answer:

21 yards

Step-by-step explanation:

1 3/4 * 12 = (12 + (3/4 of 12)) = 12 + 9 = 21

Answer: 1296

Step-by-step explanation:

(6^2)^2=

(6^(2*2))=

6^4=1296

By using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547

What is normal distribution?

A probability distribution known as a "normal distribution" is symmetric about the mean and indicates that data that are close to the mean are more likely to occur than data that are far from the mean.

Given that:

μ= 1.4

σ=4.6

We know the formula of normal distribution is z = (x-μ)/σ

[tex]P(0 < x < 3)=P(x < 3)-P(x < 0)[/tex]

For [tex]P(x < 3)[/tex]

[tex]z=\frac{3-1.4}{4.6} \\z=0.35[/tex]

By using the z-table [tex]P(x < 3)=0.6368[/tex]

For [tex]P(x < 0)[/tex]

[tex]z=\frac{0-1.4}{4.6}\\z=-0.30[/tex]

By using the z-table [tex]P(x < 0)=0.3821[/tex]

Substituting [tex]P(x < 3)[/tex] and [tex]P(x < 0)[/tex] in [tex]P(0 < x < 3)[/tex]

we get,

[tex]P(0 < x < 3)=0.6368-0.3821\\P(0 < x < 3)=0.2547[/tex]

Therefore, by using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547

To learn more about normal distribution from the given link

https://brainly.com/question/27275125

#SPJ1

The standard price night cost at Night-Time Rest Days is $ 26.30 .

Average = Sum of all the observations/Number of observations

Substituting the values in the formula, we get that:

⇒ $ 20.60 = $( 22.45 + 18.55 + 24.50 + 11.20 + x )/5

⇒ $ 20.60 = $ (76.7 + x)/5

⇒ 20.60 × 5 = 76.7 + x

Solving to find the value of x, we get that

⇒ 103 = 76.7 + x

⇒ x = 103 - 76.7

⇒ x = 26.3

Therefore, the standard price night cost at Night-Time Rest Days is $ 26.30 .

"Learn more about average here-

https://brainly.com/question/1136789 "

#SPJ9

Answer:

7.84

Step-by-step explanation:

783.68

[tex]783.63 \div 100 = 7.8363[/tex]

Approx to 7. 84

Answer:

12.5

Step-by-step explanation:

13.5 12.5 10.8 9 11 10 12.5 13 10.5 12

The mode is the number that appears the most number of times.

We place the numbers in ascending order just for convenience.

9 10 10.5 10.8 11 12 12.5 12.5 13 13.5

Every number appears once except 12.5 that appears twice.

Answer: 12.5

The distribution of the arrivals based on the histogram from Liam's information can be described as being Right-Skewed.

A distribution is said to be right-skewed when its tail is to the positive direction of the number line which is the case here as the tail points towards the increasing part of the number line.

The mode would also be in the left of the mean which is the case here with the mode of 13 being less than the mean.

In conclusion, the distribution is right-skewed.

Find out more on right-skewed distributions at https://brainly.com/question/27433946

#SPJ1

Step-by-step explanation:

Hopefully this helps you.

The right response is A: After working on each yard, a landscaping business keeps note of how many litres of fertilizer are still available.

Therefore, after working in the first yard, the firm has 15.25 gallons of fertilizer left, followed by 13.5 gallons after working in the second yard, and so on.

The scenario of the model should be realistic and should either be discrete or continuous, according to the query.

When the value that the function uses is distinct or separate, the function is referred to as a discrete function. Similar to a discrete function, a continuous function defines its values as an interval and takes it continuously.

To learn more about the discrete and continuous function from the given link:

https://brainly.com/question/28737894

#SPJ9

Accordingly the Venn diagram The required values of x = 12 , y = 13 , z = 24 and t = 13.

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.

In Venn diagram, if two sets A and B do not intersect, then n(A∩B)=0 and n(A∪B) = n(A) + n(B).

Given: n(U) = 50, n(A) = 25, n(B) = 13 and n(A'∩B')=12

We have to determine the values of x, y, z, and t.

According to the given figure,

n(A') = n(U) - n(A)

n(A')=  50 - 25

n(A') = 25

n(B') = n(U) - n(B)

n(B') = 50 - 13

n(B') = 37

n(A∩B) = n(A') - n(A'∩B')

n(A∩B) = 25 - 12

n(A∩B) = 13

So, y = n(A∩B) = 13

As  in the Venn diagram, we know that,

x + y = n(A')

x = n(A') - y

x = 25 - 13

x = 12

y + z = n(B')

13 + z = 37

z = 37 - 13

z = 24

t = n(U) - [n(A) + n(B)]

t = 50 - [25+13]

t = 50 - 37

t = 13

Therefore, the values of x, y, z and t are 12, 13, 24, and 13.

To learn more about the Venn diagram here:

brainly.com/question/16859507

#SPJ1

The lengths of the candlesticks for September 8 and 11 are approximately the same because this physical object stands in for the price range between the opening and closing prices for that trading day.

The close was lower than the open if the true body is filled in or is completely black. Real bodies that are empty indicate that the close was higher than the open.

Let's consider a case study over a longer time frame, say a week. In this example, the candle records prices from Monday through Friday of the work week. The price at which the market starts on Monday at 9:15 a.m., the first business day of the week, will be the opening price. The highest and lowest prices ever recorded will be set during that particular week.

Over a century before the West created the bar and point-and-figure charts, candlestick charts were invented in Japan. While there was a correlation between rice price and supply and demand in the 1700s, a Japanese man by the name of Homma found that traders' emotions had a significant impact on the markets.

Hence, predict the short-term direction of the price, traders utilise the candlesticks to help them make trading decisions.

To know more about trading prices, visit :

brainly.com/question/28191944

#SPJ1

Answer:

-3

Step-by-step explanation:

1) -x-y = 9

2) -3x+y = 3

By adding 3x to each side on equation #2, you get that y = 3+3x.

Now, we can substitute the value of y into the second equation. If you do this, you will get that [tex]-x-(3+3x)=9[/tex].

Simplifying gives you: [tex]-4x-3=9[/tex]

Adding three to both sides: [tex]-4x=12[/tex]

And finally dividing by negative four: [tex]x=-3[/tex]

You will get x = -3

Answer:

Step-by-step explanation:

I really don't have explanation on this.

Why, because it's too hard to explain.

The Retained Earnings Balance as of the Ending of the Year, December 31, 20XX is $23,900

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expenses=32,800+16,800+3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid

Retained earnings=$14,640+$ 10,260-$1,000

Retained earnings=$23,900

Find out  more about net income on:brainly.com/question/1347024

#SPJ1

Answer:

It is 25% percent......

Answer:

Step-by-step explanation:

45 / 180 = 0.25

25%

Answer:

0, 12 or 12, 0

1, 11 or 11, 1

2, 10 or 10, 2

3, 9 or 9, 3

4, 8 or 8, 4

5, 7 or 7, 5

6, 6

All these pairs add up to 12.

Hope this helps :)

There are 7 pairs of whole numbers that have a sum of 12.

Given that we need to determine the pairs of whole numbers can you find that have a sum of 12.

To find the pairs of whole numbers that have a sum of 12, we can simply list all the possible combinations and count them.

Let's consider two whole numbers, x and y, such that x + y = 12. Since the numbers should be whole numbers and greater than or equal to 0, we have the following options:

x = 0, y = 12

x = 1, y = 11

x = 2, y = 10

x = 3, y = 9

x = 4, y = 8

x = 5, y = 7

x = 6, y = 6

So, there are 7 pairs of whole numbers that have a sum of 12.

These pairs are (0, 12), (1, 11), (2, 10), (3, 9), (4, 8), (5, 7), and (6, 6). Each of these pairs satisfies the condition that both x and y are whole numbers and their sum is equal to 12.

Note: We only consider x and y values up to 6 since beyond that, the sum would exceed 12, and we are only looking for pairs with a sum of 12.

Learn more about whole numbers click;

https://brainly.com/question/29766862

#SPJ7

Answer:

Bonjour,

Step-by-step explanation:

y=k*(x-25)²+200

0=k*(55-25)²+200 => k=-2/9

y=-2/9(x-25)²+200

The a quadratic function that models the parabolic path of the object is y = -2/9(x-25)²+ 200.

For the given question;

The maximum height of the object which is launched from the top of a hill is 200 m.

The equation of the parabola is -

y=a*(x-h)²+k

(h,k) = vertex = (25, 200)

y = a*(x-25)²+200

Put (x,y) = (55,0)

0=a*(55 - 25)²+200

=> a = -2/9

Now put the value of 'a' and form the equation.

y = -2/9(x-25)²+ 200

Thus, the a quadratic function that models the parabolic path of the object is y = -2/9(x-25)²+ 200.

To know more about the parabolic path, here

https://brainly.com/question/12231574

#SPJ2

Set A's standard deviation is larger than that of Set B (option c).

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. Standard deviation is a measure of variation of a dataset.

In order to determine the standard deviation, take the following steps:

Standard deviation of Set A:

(1 - 13)² + (2- 13)² +  (3- 13)² +  (23- 13)² +  (24- 13)² +  (25 - 13)²

144 + 121 + 100 + 100 + 121 + 144 = 730

√730 / 6 = 11.03

Standard deviation of Set B:

(9 - 13)² + (10- 13)² +  (11- 13)² +  (14- 13)² +  (16- 13)² +  (18 - 13)²

16 + 9 + 4 + 1 + 9 + 25 = 64

√64 / 6 = 10.67

To learn more about standard deviation, please check: https://brainly.com/question/26201837

#SPJ1

Answer:

Step-by-step explanation:

b. 3^5

c. 2^7

d. xy^7

e. 64xy^5

Answer: 14 classes

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

76=4x+20

Step 2: Flip the equation.

4x+20=76

Step 3: Subtract 20 from both sides.

4x+20−20=76−20

4x=56

Step 4: Divide both sides by 4.

4x

4

=

56

4

x=14

Answer:

4/5

Step-by-step explanation:

The denominator is the total.

The numerator/top.

The rate of reading book by Tanisha is 4/5 book per month.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The book read by Tanisha in 5 months = 4 book.

To find the book read by Tanisha each month,

Use ratio property,

In 5 months = 4 book

in 1 month = 4/5 book.

In one month, the book read by Tanisha is 4/5 fraction.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

The amount of water in the barrel is 423,115 cm³.

A cylinder is a three-dimensional object. It is a prism with a circular base. In order to determine the amount of water in the barrel, the volume of the barrel has to be determined.

Volume of a cylinder = nr^2h

Where:

n = 3.14

r = radius = diameter / 2 = 70 / 2 = 35cm

h = height = 1.1m

100cm = 1 meter

1.1 x 100 = 110 cm

Volume of a cylinder = 3.14 x 35² x 110 = 423,115 cm³

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

#SPJ1

Answer:

133

Step-by-step explanation:

SP is part of a line and line is 180°

so:

m∠PQR + m∠RQS= 180°

(3x-5)  + ( x+1) = 4x-4=180

4x = 184

x= 46

m∠PQR = 3X-5 = 3(46)-5 =133

Answer:

133

Step-by-step explanation:

Supplementary angles are angles that sum to 180°, meaning they form a straight line.

Solving for x

Since we know that these 2 angles will sum to 180 (remember they are supplementary) we can add their expression together and set it equal to 180.

Next, combine like terms.

Add 4 to both sides

Divide by 4

Solve for m∠PQR

Now that we know the value of x, we can find the measure of PQR. Simply plug 46 in for x and solve.

This means that m∠PQR = 133°.

Answer: 10,144 cups

Step-by-step explanation: