In the given figure AB = AC, BAD = 50 and AD = AE. find the value of x

Answer:

Step-by-step explanation:

31320=x+0.08x

31320=1.08x

swap the sides

1.08x=31320

Divide by 1.08

x=29000

If a person is chosen at random, there is a 71% probability that he or she has run a red light in the last year.

So, to find the probability:

Apply values in the formula:

Therefore, if a person is chosen at random, there is a 71% probability that he or she has run a red light in the last year.

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The total bill for 3.18 pounds of apples, 1.45 pounds of peaches, and 1.71 pounds of pears is $6.78  .

In the given question

The price of 1 pound apple = $0.99

The price of 1 pound Peaches = $1.09

The price of 1 pound Pears = $1.19

Total pounds of apples bought = 3.18 pounds

price of 3.18 pounds of apple = ( pounds of apple bought)*(price of 1 pound apple)

=3.18*0.99

=$3.15    ...(i)

Total pounds of Peaches bought = 1.45 pounds

price of 1.45 pounds of peaches = 1.45*1.09

                                                 = $1.59    ...(ii)

Total pounds of Pears bought = 1.71 pounds

price of 1.71 pounds of pears = 1.71*1.19

                                                = $2.04     ...(iii)

Total bill = price of 3.18 pounds of apple + price of 1.45 pounds of peaches + price of 1.71 pounds of pears.

Substituting the values from equation (i),(ii)and (iii) we get ,

Total bill = $3.15 + $1.59 + $2.04  

= $6.78

Therefore , the total bill for 3.18 pounds of apples, 1.45 pounds of peaches, and 1.71 pounds of pears is $6.78  .

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The number of minutes per day that Dominie practise the piano is 51 minutes per day.

The first step is to convert two weeks to days.

1 week = 7 days

2 weeks : 7 x 2 = 14 days

The second step is to divide the total minutes Dominie practices by the total number of days. Division is the mathematical operation that is used in grouping a number into equal parts using another number. The result of a division is known as the quotient. The sign used to represent division is ÷.

Number of minutes they practice per day : total practice / number of days in two weeks

714 / 14 = 51 minutes per day

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Answer:

$13

Step-by-step explanation:

For 50 people it will cost you 150 + 50(10) or 500

150 +500 = 650  Divide that among 50 people and you get a cost of $13 a person.

Answer:

3/4 of 5. It equals 3 3/4.

Step-by-step explanation:

The question asks for 3/4 of 5 cups of milk.

Answer: 10

Step-by-step explanation:

First you can re-order = 36/9 + 6

36/9=4

Then add 4+6

It equals 10

Answer:

Step-by-step explanation:

Answer: x - 6 = -12

Step-by-step explanation: first, we'll solve for x in 6 - x = 12. We'll isolate the variable by subtracting 6 from both sides, which gives us -x = 6. Now we'll divide both sides by -1 to get x and we will get -6 = x. So for the expression, we'll sub in the value we got for x from the equation, -6. -6 - 6 = -12.

Answer:

-12

Step-by-step explanation:

Answer:

0.008 3repeating

Step-by-step explanation:

At the end of 3 years second account will earn the most interest, that is $148.38

Given,

The amount Cole has with him = $1750

Two types of account bank offered:

First account has simple interest rate = 2.75% annually

Second account has compound interest rate = 2.75% compounded annually.

Number of years = 3

We have to find the account which earn the most interest at the end of 3 years.

Simple interest = PRT/100

Compound interest = A - P

A is the amount

A [tex]=P(1+\frac{R}{N} )^{NT}[/tex]

Where,

P is the principal amount

R is the rate of interest

T is the time period

N is the number of times interest compounded yearly.

Here,

P = 1750

R = 2.75%

T = 3 years

N = 1

Now,

First account:

Simple interest = PRT/100

SI = (1750 × 2.75 × 3) / 100

SI = 14437.5/100

SI = 144.375

First account offers $144.375 as interest for 3 years.

Second account:

Compound interest = A - P

A  [tex]=P(1+\frac{R}{N} )^{NT}[/tex]

A = 1750 [tex](1+\frac{0.0275}{1} )^{1(3)}[/tex]

A = 1750 (1 + 0.0275)³

A = 1750 × 1.0275³

A = 1750 × 1.084789547

A = 1898.381707

A ≈ 1898.38

Compound interest = A - P

CI = 1898.38 - 1750

CI = 148.38

Second account offers $148.38 as interest for 3 years.

So, we can conclude that second account will earn the most interest at the end of 3 years.

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Answer:

x = 5j-k

Step-by-step explanation:

(x-j) (5x+k) = 0

(x-j) * (5x+k) = 0

x - 5j + k = 0

x + k = 5j

x = 5j - k

Answer:

Steve: $138.00

Jenna: $72.00

Step-by-step explanation:

Steve:

[tex]\frac{23}{35}[/tex] x 210 = 138

Jenna:

[tex]\frac{12}{35}[/tex] x 210 = 72

I'm not really sure what this means, but i'll do what i think is right!

Answer:

Steve: $138

Jenna: $72

Step-by-step explanation:

If you're doing it so they each get what they sold, you would have to first add the total number of chocolate bars, giving you 35. To see how much each bar costs, you just have to divide $210 ÷ 35, giving you $6 per chocolate bar.

To give each what they gained, you multiply $6 by whichever amount you chose, 23 or 12, which will give you that person's amount. Steve will get $138 and Jenna will get $72.

hope this helps!

Answer:

900,000 mph

Step-by-step explanation:

I am assuming the m in he problems is standing for miles.

250m/sec x 60 sec/min x 60min/hour  The sec cross out and the minutes cross out and you are left with miles be hour.

Answer:

.033

Step-by-step explanation:

When there is a proportional relationship the constant of proportionality is y/x and in this case that would be  10/300 and that would be .033 rounded to three decimal places.

Answer:

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

Prime factors of 168 are:

In order to make 168n a square number we need to use each prime factor even number of times.

Add 2, 3 and 7 to the prime factors (as a minimum) to get:

A square field has an area of 22,500 square feet, then the diagonal distance across the field in nearest foot is equal to 212 foot (approximately).

As given in the question,

Area of the square field = 22,500square feet

Let 'a' be the side and 'd' be the diagonal length of the square

a² =22,500

⇒a =150 foot

Using Pythagoras theorem

d² =a² +a²

⇒d² = 2(150)²

⇒d² =45000

⇒d =212.13

    ≈ 212 nearest foot (approximately)

Therefore, the diagonal distance across the field in nearest foot is 212 foot (approximately) with  area of 22,500 square feet as given.

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mous this mobail phonffyuuyy

Number name = 22 million

Expanded form = 20,000,000 + 2,000,000

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given that Up to 22,000,000 driver of ants can live in a single colony

Now, from number expressions, we know that;

1, 000, 000 = 1 million

Thus number name is;

22,000,000= 22 million

Expanded form of 22,000,000 = 20,000,000 + 2,000,000

Thus, we conclude that;

Number name = 22 million

Expanded form = 20,000,000 + 2,000,000

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The value of x will be 2. So, Option B is correct for the equation [tex]3^{2x} = 9^{3x - 4}[/tex]

In the given question, the equation is [tex]3^{2x} = 9^{3x + 4}[/tex], we have to find out the value of x. First, we need to re-arrange the equation in order to apply the property of exponents. So,

           => [tex]3^{2x} = 9^{3x -4}[/tex]  => [tex]3^{2x} = 3^{2(3x - 4)}[/tex]

We know according to the property of exponents if [tex]x^{m} = x^{n}[/tex], then m = n.

Similarly, in this equation the base of both RHS and LHS are the same, We get

           => 2x = 2(3x - 4)

           => 2x = 6x - 8   =>  4x = 8

           =>  x = 2

We get value of x = 2.

Hence the value of x for this equation will be 2 and option B is correct.

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Answer:

x>3

Step-by-step explanation:

2x+6-6 > 12-6    ditch the 6

2x/2 > 6/2          divide by 2

x>3

Triangle ABC is an isosceles right triangle.

Because of A(-8,7) B(-4,2) C(1,6)

So AB=√[-8-(-4)]²+(7-2)²

=√41

BC=√(-4-1)²+(2-6)²

=√42

AC=√(-8-1)²+(7-6)²

=√82

AB=BC

AB²+BC²=AC²

So triangle ABC is an isosceles right triangle.

What is isosceles right triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

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The two lines have only one intersection

[tex]\therefore[/tex] There are only one solution to the system of equation.

Answer: m<ABC = 45 degrees, m<DBC = 36 degrees

Step-by-step explanation:

set both equations equal to 81 because they add up to form one angle:

5x + 6 + 9x - 9 = 81

Combine like terms

14x - 3 = 81

Add three to both sides

14x = 84

Divide by 14 to find x

x = 6

To find the angles:

Measurement of angle ABC:

9(6) - 9 = 45 degrees

Take the original angle of 81 and subtract the angle you just found to find the remaining angle:

81 - 45 = 36

Therefore, the angle of DBC is 36 degrees

Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends. He is incorrect

From the information, Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends.

Let's add (-3) + (-4)

It should be noted that the addition is equal to -7.

It should be noted that this doesn't corelate with what Luciana said.

Therefore, she is incorrect. It's only correct for positive numbers.

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The solution of the given expression  [tex]5.5 - 8.1[/tex] in decimal form is [tex]-2.6[/tex] which is a negative integer in decimal form.

The numbers of the number line are called integers. They include positive numbers, zero, and negative numbers.

Zero is neither considered a negative nor a positive number.

[tex]5.5\\[/tex] is a positive number and a smaller number when compared from [tex]8.1[/tex].

When a smaller number is subtracted from a larger number it results in subtraction with a negative sign.

[tex]5.5 - 8.1 \\= -2.6[/tex]

The subtraction of the given expression [tex]5.5 - 8.1[/tex] in decimal form is [tex]-2.6[/tex].

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Answer:

its 1

Step-by-step explanation:

i just know