Complete the steps to solve 4.5 ÷ 0.5

Answer:

( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{2 + 5}{15}[/tex] = [tex]\frac{7}{15}[/tex]

[tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{18-7}{21}[/tex] = [tex]\frac{11}{21}[/tex]

[tex]\frac{7}{15}[/tex] , [tex]\frac{1}{2}[/tex] , [tex]\frac{11}{21}[/tex]

LCD (2, 15, 21) = 210

[tex]\frac{98}{210}[/tex] , [tex]\frac{105}{210}[/tex] , [tex]\frac{110}{210}[/tex]

105 - 98 = 7

110 - 105 = 5 ⇒ [tex]\frac{11}{21}[/tex] is closer to [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

Answer:

There. I looked at the image.

The thing is right because they are all the same.

Step-by-step explanation:

Plz mark as Brainliest!

Answer:

3.568 < 3.577

Step-by-step explanation:

3.568 < 3.577

So 3.577 is greater than 3.568

Answer:

y=-3/4x+10/4

Step-by-step explanation:

1) Change given equation to slope intercept form:

3x+4y=12

4y=12-3x

y=3-(3/4)x

y=-(3/4)x+3

2) Parallel lines have the same slope, so the first part of the equation is:

y=-(3/4)x+b

3) To find b, we plug in y=2 and x=1 given the prompt:

2=-(3/4)(1)+b

2=-3/4+b

2 3/4=b

10/4=b

4) Therefore, the correct equation is:

y=-3/4x+10/4

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]

[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]

[tex]1.525553=(1.015)^{2t}[/tex]

Taking log on both sides.

[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]

[tex]\log (1.525553)=2t\log (1.015)[/tex]

[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]

[tex]t=14.1838928[/tex]

[tex]t\approx 14.18[/tex]

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

Answer:

A) Symmetric Property Of Equality

Step-by-step explanation:

[tex]The\ symmetric\ property\ of\ equality\ just\ says\ that\ , if\ the\ LHS=RHS; then; RHS=LHS[/tex]

[tex]Here,\\-5=x\\x=-5[/tex]

Allison's average driving speed in miles per hour is 65.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

130 miles = 2 hours

Divide 2 on both sides.

130/2 miles = 1 hour

65 miles = 1 hour

Thus,

The average speed is 65 miles per hour.

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Answer:

D.

Step-by-step explanation:

I'm 70% sure

Answer:

3m == 5w, that means for such unit, there is a 2 person difference

30 person difference = 30/2 = 15units

and again one unit means 3m and 5w

so 15*3men, and 15*5women

and you can check the difference is 30

Answer:

Step-by-step explanation:

holdup im gonna help

Answer:

x = 2

Step-by-step explanation:

2[3(3x - 1)] = 5(2x + 2)

18x - 6 = 10x + 10

8x = 16

x = 2

Answer:

The correct answer is D, 6/8.

Step-by-step explanation:

For ratios or fractions an equivalent fraction has the same value but just more pieces. Think of it like a pizza. But to make sure they are equivalent you have to multiply or divide them by a fraction equal to 1. In other words the numerator and the denominator have to be the same number. So, when we multiply 3/4 by 2/2 you get 6/8 because 3 x 2 = 6 (numerators) and 4 x 2 = 8 (denominators).

If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)

Answer:

the answer to your question is 38.

There are 38 marbles does Kyle have.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Brian has 17 fewer marbles than Kyle.

And,  Brian has 21 marbles.

Now,

Let number of marbles Kyle have = x

Then, Number of marbles Brian have = x - 17

But, Brian has 21 marbles.

So, We get;

x - 17 = 21

x = 21 + 17

x = 38

Thus, There are 38 marbles does Kyle have.

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Answer: 1/3

Step-by-step explanation:

Answer:

B on edge 2022

Explanation:

Picture:

The time it takes the rock to reach the canyon floor is 8.5 seconds.

Option C is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Using the quadratic formula.

t = (-b ± √(b² - 4ac)) / 2a

where a = -16, b = 0, and c = 255.

Now,

Plugging in the values.

t = (-0 ± √(0² - 4(-16)(255))) / 2(-16)

t = (± √(16320)) / (-32)

t = (± 128) / (-32)

So,

The solutions for t.

t = 4 seconds (taking the negative solution)

t = 8.5 seconds (taking the positive solution)

We can eliminate t = 0.87 seconds and t = 16 seconds as they are not solutions to the equation.

Therefore,

The time it takes the rock to reach the canyon floor is 8.5 seconds.

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Answer:

9

Step-by-step explanation:

Answer:

4 blocks.

Step-by-step explanation:

Answer:

Trig ratios on coordinates can be negative or positive in value

But

Trig ratios on triangles can only be positive

Step-by-step explanation:

The difference is that, the length of sides used in trig on the coordinates is not absolute

What this mean is that it is dependent on the axes that we are and thus might take up a negative or positive value for trig on coordinates

What we are saying is that while trig on triangle can be positive only, trigonometric ratios on coordinates can be negative or positive

Answer:

Step-by-step explanation:

S.I =720×6×5/100×365

=21600/36500

=0.59178

So balance will be 720+0.59178

=720.59178

Answer:

$10.19

Step-by-step explanation:

We are told:

If the mean of 20 prices is $10.39

We have to find the total price

= Mean × number of prices

= 20 × $10.39

= $207.8

5 of the items with a mean of $10.99 are sampled

We would also find the total price

Mean × Number of samples

$10.99 × 5

= $54.95

what is the mean of the other 15 prices?

We find the total prices of the 15 prices

= Total 20 prices - Total of 5 prices

= $207.8 - $54.95

= $152.85

The mean of the other 15 prices

= $152.85/15

= $10.19

Answer:

[21.9, 22.9] in thousands of dollars

Step-by-step explanation:

The formula for Confidence Interval

= Mean ± z score × standard deviation/√n

Mean = $22.4

Standard deviation = $9.3

n = 2128

z score of 98% confidence interval = 2.326

Confidence Interval = 22.4 ± 2.326 × 9.3/√2128

= 22.4 ± 0.469

Confidence Interval =

22.4 - 0.469

= 21.931

≈ 21.9 in thousand of dollars

22.4 + 0.469

= 22.869

≈ 22.9 in thousands of dollars

Hence, the 98% confidence interval =

[21.9, 22.9] in thousands of dollars

Explanation:

The slope of the line is found by the method: rise/run

You calculate how much the slope rises(goes up) and divide it by run(goes horizontal).

One more thing to note is that: the slope is negative BECAUSE ITS DECREASING.

Your answer:   -3/2

Answer:

Point of intersection of WY and ZX is (3.5, 3.5).

Step-by-step explanation:

Since, diagonals of a parallelogram bisect each other,

Point of intersection of the diagonals will be midpoint of each diagonal.

By this property, midpoint (x, y) of the segment joining W(-2, 6) and Y(9, 1) will be,

[tex]x=\frac{x_1+x_2}{2}[/tex]

x = [tex]\frac{-2+9}{2}[/tex] = 3.5

Similarly, y-coordinate of the midpoint will be,

y = [tex]\frac{y_1+y_2}{2}[/tex]

y = [tex]\frac{6+1}{2}[/tex] = 3.5

Therefore, point of intersection of the diagonals of the given parallelogram will be (3.5, 3.5).

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

Explanation:

Check out the diagram below.

On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.

Angle STR = Angle VTU because they are vertical angles

Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.

We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.

AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.

Answer:

D.) y = -1/4x - 6 and y = 4x + 11

Step-by-step explanation:

If two lines are perpendicular, that means that their slopes are opposite reciprocals, or that the product is equal to -1. -1/4 times 4 is -1, so they are perpendicular.