you have 24 homework problems for math class. You finish 12 of them during some extra time in class. If you complete 4 more problems while waiting for the bus, what fraction of the 24 problems will remain?

Answer:

1.80

Step-by-step explanation:

Answer: Choice A) If Amber and Jorge each sell 5 trees in one week, they will earn the same amount

The amount they earn is $200 each.

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

Explanation:

Let's form the equation for the amount Amber earns.

She starts off at $150, and then we add on 10x dollars. The 10x is because she earns 10 dollars per tree, and we have x be the number of trees sold.

Overall we can say her equation is y = 150+10x

This is the same as y = 10x+150

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Since Jorge's equation is y = 25x + 75, we can apply substitution to solve for x

y = 10x+150

25x+75 = 10x+150 .... replace y with 25x+75

25x+75-10x = 150 ... subtract 10x from both sides

15x+75 = 150

15x = 150-75 ... subtract 75 from both sides

15x = 75

x = 75/15 .... divide both sides by 15

x = 5

If they sell 5 trees per week, then Amber and Jorge earns the same amount of money.

That amount earned is

Amber: y = 10x+150 = 10*5+150 = 50+150 = 200 dollars

Jorge: y = 25x+75 = 25*5+75 = 125+75 = 200 dollars

Both earn $200 per week from selling 5 trees for that week. This helps confirm we have the right answer.

Answer:

x:4 y:6

Step-by-step explanation:

Step-by-step explanation:

probability of arriving late is 4/8

probability of arriving early is

1-4/8 =4/8

probability that opposite event occurs is 4/8

Answer:

b

Step-by-step explanation:

[character limit pass]

Step-by-step explanation:2=120 1.5=90

[tex]therefore =3/4[/tex]

Answer: 1:1 or 2:1

Step-by-step explanation:

Answer:

0.40

Step-by-step explanation:

Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

7.2 ÷ 18 = 0.40

and therefore:

0.72 ÷ 1.8 = 0.40

Both calculated to 2 decimal places.

Answer:

Step-by-step explanation:

9854

Answer:

a. The value of x is [tex]38^{o}[/tex].

b. The value of y is [tex]25^{o}[/tex].

Step-by-step explanation:

a. Applying the vertically opposite principle,

(2x + 5) = (3x - 33)

2x + 5 = 3x - 33

33 + 5 = 3x - 2x

38 = x

⇒ x = [tex]38^{o}[/tex]

b. Sum of angles on a straight line = [tex]180^{o}[/tex]

So that,

(4y - 1) + (3x - 33) = [tex]180^{o}[/tex]

But,

( 3x - 33) = (3x38 - 33)

               = 114 - 33

               = [tex]81^{o}[/tex]

(4y - 1) + [tex]81^{o}[/tex] = [tex]180^{o}[/tex]

4y - 1 = [tex]180^{o}[/tex] - [tex]81^{o}[/tex]

         = [tex]99^{o}[/tex]

4y = [tex]99^{o}[/tex] + 1

    = [tex]100^{o}[/tex]

y = [tex]\frac{100}{4}[/tex]

  = [tex]25^{o}[/tex]

y = [tex]25^{o}[/tex]

The value of x is [tex]38^{o}[/tex], and y is [tex]25^{o}[/tex].

Answer:D

Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.

The statement that illustrates the commutative property of addition is

8i + 4 = 4 + 8i. The correct option is D.

The commutative property of addition:

Let a and b are numbers.

a + b =  b + a

The change in the position of two numbers in an addition operation does not change the sum.

The commutative property of addition:

Let a and b are numbers.

So, a + b =  b + a.

LHS = 8i + 4

= 2 (4i+2)

= 2(2 + 4i)

=  4 + 8i

That means,  8i + 4 = 4 + 8i holds the commutative property of addition.

Therefore, the equation is 8i + 4 = 4 + 8i.

To learn more about the commutative property;

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Answer:

9 houses

Step-by-step explanation:

45% of 20 is 9 so the answer is 9

Total 9 houses have decoration on Rainbow Street.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Total number of houses on Rainbow Street = 20,

The percentage of the houses which have decorations = 45%

The number of houses which have decoration

= 20×(45/100)

= 9

There are 9 houses that have decorations.

To know more about Percentage on:

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Answer:

It would be equal to 15 - (18)

Answer:

it would actually be (B)

Answer: 2.68

Step-by-step explanation: 0.4 + 0.68 + 1.6

Answer:

False

Step-by-step explanation:

Given

[tex]XLIV = 64[/tex]

Required

True or False

The above numeral can be split as follows:

[tex]XLIV = XL + IV[/tex]

X means 10 and L means 50.

But because X (10) which is smaller comes before L (50), XL is executed as:

[tex]XL = -10 + 50[/tex]

[tex]XL = 40[/tex]

In Roman numerals;

[tex]IV = 4[/tex]

Substitute 40 for XL and 4 for IV.

[tex]XLIV = 40 + 4[/tex]

[tex]XLIV = 44[/tex]

Hence;

[tex]XLIV = 64[/tex] is false

Answer:

2:3

Step-by-step explanation:

5 in total as you subtract the dudes

Answer:

the ratio would be 2:2 because there is two heterozygous brown eyed children and 2 are full recessive blue for the phenotype and for the genotype it would be  2 Bb : 2 bb

Step-by-step explanation:

Answer:

Part A. The girls have 7/8 pizza all together.

Part B. Samantha drank 5/10 or 1/2 water that day.

Step-by-step explanation:

Part A. The answer is 7/8 because 2/4 is the same thing as 4/8.

2/4 = 4/8

4/8 + 3/8 = 7/8.

So, for the first question the answer is 7/8.

Part B. The answer is 5/10 because 1/5 = 2/10

1/5 = 2/10

2/10 + 3/10 = 5/10

Hope this helps! :)

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3x - 4 = 8

3x - 4 + 4 = 8 +4

3x = 12

x = 4

Answer:

1/12 lb

Step-by-step explanation:

2/3 x 1/8 = 2/24 = 1/12

Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.

Hope this helps!

Answer:

The probability is 0.16602

Step-by-step explanation:

We start by calculating the z-score

We have this mathematically as;

z-score = (x-mean)/SD/√n

From the question,

we have x = 6.15

mean = 6.06 hours

standard deviation = 0.55 hours

n = 35

Substituting these values, we have

z-score = (6.15-6.06)/0.55/√35

z-score = 0.09/0.55/5.92

z-score = 0.97

So the probability we want to calculate is:

P ( z > 0.97)

we make use of the standard normal distribution table here

The value is; 0.16602

Answer:

Equation: X-1.35= 2.30

Value of X: x=3.65

Step-by-step explanation:

You can choose whatever variable you want to represent the original amount of money Jennifer had in her pocket. I decided to use X as my variable.

If X represents the original amount of money Jennifer had in her pocket, then I can write this equation:

X-1.35= 2.30

Essential what this equation shows is that Jennifer spends $1.35 of what she originally has, which is x. After she spends that she's left with $2.30. This is how we solve for x, also known as the original amount Jennifer had in her pocket:

X-1.35= 2.30

(we will add 1.35 to each side because we what to balance out the equation and the inverse operation of subtraction is addition)

X= 3.65

So Jennifer originally had $3.65 in her pocket before she spent the $1.35

( Hope this helps :). Let me know if there's any confusion in my answer/explanation)

Answer:

Step-by-step explanation:

A)  5/7

B)    12/8

c)  6/6

Answer:

h=189

Step-by-step explanation:

solve for H by simplifying both sides of the equation, then isolating the variable.

hope this helped

Answer:

12/88, which is 3/22 in simplest form.

Answer:

12/88 Simplified:3/22

Step-by-step explanation:

you just multiply the numerator but the numerator and then denominator but the denominator. Then you just simplify

Hope that helps:)

Answer:

The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex]  = 3

Step-by-step explanation:

Explanation

Given       [tex]\frac{14}{8} + \frac{15}{12}[/tex]

L.C.M     8 , 12   is  24

       [tex]\frac{14}{8} + \frac{15}{12} = \frac{14 X 3 + 15 X 2}{24}[/tex]

                  = [tex]\frac{42 +30}{24} = \frac{72}{24} = 3[/tex]

Final answer:-

The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex]  = 3