1.1x + 1.2x - 5.4 = -10

Answer:

14.25

Step-by-step explanation:

Based on the information provided, the triangle ABC is an Isosceles triangle.

If triangle ABC is equal to triangle DEF and AB is equal to EF, it means that the corresponding sides and angles of the two triangles are congruent.

Based on the information given, we can conclude that triangle ABC is an isosceles triangle. An isosceles triangle is a triangle that has two sides of equal length. In this case, sides AB and EF are equal in length, making triangle ABC isosceles.

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The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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Answer:

98 degrees

Step-by-step explanation:

Construct a line parallel to the 2 given lines that passes through the vertex of angle 1.

We get the part of angle 1 below this line is 180 - 144 = 36 by same side interior angles.

We get the part of angle 1 above this line is 62 degrees by alternate interior angles.

meaning the total measure of angle 1 is 62 + 36 = 98

Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

Given Data:

The cost of one box of 216 tissues is $1.29.

The cost of one calculator is $ 7.99.

The cost of five 3-subject notebooks is $ 0.69 each.

The cost of one 10-pack blue pens is $ 0.99.

The cost of one dozen No.2 pencils is $ 1.09.

The cost of one 5-pack of colored pens is $ 2.49.

The cost of two 150-sheet packs of loose-leaf paper is $ 0.99 each.

The cost of one 3-ring binder is $1.99.

The cost of one glue stick is $0.44.

The sales tax is 5%.

The total cost excluding sales tax can be determined as,

The sales tax can be determined as,

Thus, the sales tax is 1.0855.

The total bill can be determined as,

Thus, the total bill including sales tax is $ 22.7955.

Answer:

x = (a-4)/c

Step-by-step explanation:

1) Multiply 6 for a and -cx

6a - 6cx = 24

2) Add -6a at the two members

-6cx + 6a -6a = 24-6a

-6cx = 24 -6a

3) Multiply the two members by -1

6cx = 6a - 24

4) divide the two members by 6c (assuming that its values is not 0)

x = (6a-24)/6c

5) simplify the second member

x = [6(a-4)]/6c

x = (a-4)/c

Answer:

585

Step-by-step explanation:

Explanation in picture below.

At the left-hand side of the inequality, we have 34²

34² = 34 x 34 = 1156

At the right-hand side of the inequality we have 33² + 10

33² = 33 x 33 = 1089

33² + 10 = 1089 + 10 =1099

1156 is greater than 1099

Therefore

34² > 33² + 10

Hence the correct inequality symbol to go in the circle is ">"

Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

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Answer:

Something!

Step-by-step explanation:

Do something then do something and thats it!

Answer:

Step-by-step explanation:

a) It has 3 terms.So,  trinomial

b) It has one term. So, monomial

c) It has two terms. So, Binomial

d) It has 3 terms.So,  trinomial

e)  -9x - 2 + 3x = -9x + 3x - 2 = -6x - 2

It has 2 terms.So, binomial

f) It has 2 terms.So,  binomial

Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

629

Step-by-step explanation:

l x w

25x14

4x7

12x18

5x7

629

If Mohal bought 20 chicken wings for $50.00 as a result of spending $30.00 he gets 12 chicken wings.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that Mohal bought 20 chicken wings for $50.00 and spend $30.0.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

The price of one chicken wing is,

= $ 50 / 20

= $ 2.50

The number of chicken wings he can buy after spending $30.00,

= $30.00 / = $ 2.50

=12

Thus, Mohal bought 20 chicken wings for $50.00 as a result of spending $30.00 he gets 12 chicken wings.

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Using a system of equations, the number of children and adults who attended the movies is as follows:

A system of equations is two or more equations solved concurrently.

A system of equations is also known as simultaneous equations.

The total number of people who went to the movies = 100

The unit cost of adult tickets = $4

The unit cost of children tickets = $2

The total sales = $276

Let the number of children who attended the movies = x

Let the number of adults who attended the movies = y

x + y = 100 ... Equation 1

2x + 4y = 276 ... Equation 2

Multiply Equation 1 by 2:

2x + 2y = 200 ... Equation 3

Subtraction Equation 3 from Equation 2:

2x + 4y = 276

-

2x + 2y = 200

2y = 76

y = 38

Substitute y = 19 in equation 1:

x + y = 100

x + 38 = 100

x = 62

Check in Equation 2:

2x + 4y = 276

2(62) + 4(38) = 276

124 + 152 = 276

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Answer:

I think D or A

Step-by-step explanation:

since it goes from 20 to 26 it should be adding 6 and also multiplying by 2

yea

4 * x = 12.44

4/4 * x = 12.44 / 4

x = 3.11

Answer:

x = 3.11

Step-by-step explanation:

To find the value of 'x', divide both sides of the equation by 4

12.44 = 4x

\(\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x\)

Answer:

88 is the answer 22 × 4 =88

Answer:

what are the equations?

Step-by-step explanation:

Answer:

The new value of the house after the 16% decrease would be $199,920.

Step-by-step explanation:

Given that a house was valued at $ 238,000, and over several years, the value decreased by 16%, giving the house a new value, to determine the new value the following calculation must be performed:

238,000 - (238,000 x 0.16) = X

238,000 - 38,080 = X

199.920 = X

Thus, the new value of the house after the 16% decrease would be $ 199,920.

Answer:

The  t-statistic is \(t = 0.6956\)

Step-by-step explanation:

From the question we are told that

     The population mean is  \(\mu = 22 \ minutes\)

       The standard deviation is  \(s = 7.043\)

       The  given data is  23, 35, 17, 30, 20, and 19.

Generally the sample mean is mathematically evaluated as

      \(\= x = \frac{23+ 35+17+ 30+ 20+ 19 }{6}\)

     \(\= x =24\)

The t-statistic is mathematically evaluated as

       \(t = \frac{ \= x - \mu }{\frac{s}{ \sqrt{n} } }\)

=>   \(t = \frac{ 24 - 22 }{\frac{ 7.043}{ \sqrt{6} } }\)

=>   \(t = 0.6956\)

Answer: 0.70

Step-by-step explanation:

Answer: 720

Step-by-step explanation: if what you want are all possible three digit numbers with no repetition of the digits then you have 10 choices for the first digit, you have 9 choices for the 2nd digit, and you have 8 choices for the 3rd digit giving you 10x9x8 = 720 in all.

Answer:

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

We are given that:

Find the value of y by substituting the given values into formula:

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

Answer: No, it is not proportional because all ratios between the number of bushels collected, and the number of acres harvested are not equivalent.

Step-by-step explanation:

To find the number of bushels collected for each acre, we divide 204 by 6, and 290 by 9. This gives us:

204/6 = 34

290/9 = 32.22

This is not proportional. There is no equivalent number of bushels collected.

the balance in the account at the 10th day will be equal to - $ 57.5.

Late fee for 1 day = $ 5.75

Number of days = 10

We will calculate the late fees for 10 days by using the operation of multiplication.

So, late fee will be:

Late fees = 10 × $ 5.75

Late fees = $ 57.5

Balance in the account at the 10th day = 0 - Late fees

Balance in the account at the 10th day = 0 - $ 57.5

Balance in the account at the 10th day = - $ 57.5

Therefore, the balance in the account at the 10th day will be equal to - $ 57.5.

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Answer:

Use the formula which is shown above.