Change the following fraction to a mixed number with the fraction part reduced to lowest terms. 83/42

Answers

Answer 1

Answer:

1 [tex]\frac{41}{42}[/tex]

Step-by-step explanation:

[tex]\frac{83}{42}[/tex] = 83 ÷ 42 = 1 remainder 41 , then

[tex]\frac{83}{42}[/tex] = 1 [tex]\frac{41}{42}[/tex]


Related Questions

Ashley has scored 81, 74, 72, and 93 on her previous four tests. What score does she need on her next test so that her average (mean) is 79?

Answers

Answer:

75

Step-by-step explanation:

Add 81, 74, 72, and 93 together

add 75 to that total

divide by 5

shannon purchased a quilt at the farmers market. the area of the quilt 9 1/3 meters. the width is 2 4/5. what is the length of the rug in meters​

Answers

length = 3 1/3 m

hope it helps...!!!

step by step subtraction Mayan: 208 - 75

Answers

Answer:

133

Step-by-step explanation:

what’s the answer to this

Answers

Let’s first do process of elimination, obviously the numbers are growing, so we can rid of A and C. Linear growth grows by the same number every day, but this graph doesn’t represent that, so your ANSWER IS D!! Hope this helps

Solve for x: −2(x − 2)2 + 5 = 0 Round your answer to the nearest hundredth.

Answers

Answer:

x = 3.25

Step-by-step explanation:

-2(x - 2) * 2 + 5 = 0

Open parathesis

(-2x + 4) * 2 + 5 = 0

Open parenthesis again

-4x + 8 + 5 = 0

-4x + 13 = 0

-4x = -13

Divide -4 on both sides

x = 13/4

x = 3.25

Answer:

-4x+8+5=0

-4x=-13

4x=13

x= 13/4

x=3.25

Which of the following was NOT one of Ghana's chief trading exports?
A. Gold
B. Ivory
C. Horses

Answers

slaves is the correct answer

What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x-3)^2

Answers

Answer:

Vertex: (3,5)

Focus: (3,8)

Directrix: y = 2

Step-by-step explanation:

Get y by itself by adding 5 over to the other side. The equation is now y = 1/12(x-3)^2 + 5.

The value inside of the parentheses is -3. Since it's within the parentheses, switch the signs for the x value of the vertex. The "+ 5" represents the y value. Therefore the vertex is (3,5).

The value "a" on the parabola is 1/12. To find the distance from the vertex to the focus/directrix, use the equation a = 1/4p. 1/12 = 1/4p. p = 3. This parabola opens up, so "p" must be added onto the y value of the vertex for the focus. The focus is therefore (3,8).

For the directrix, subtract "p" from the y value of the vertex. The directrix is a horizontal line at y = 2.

if x is a positive integer, what is the length of the hypotenuse triangle C?

Answers

Answer:

c = 12.73

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = [tex]\sqrt{162}[/tex]

c = 12.7279221

c = 12.73

Mark brainliest please!

Suppose we have already saved $55 towards the cost of a new television set. We plan to save $6 more each week for the next several weeks. i) Write an equation for the total amount T we will have after w weeks from now. ii) Find the total amount that would be saved after 8 weeks.

Answers

Answer:

$103

Step-by-step explanation:

T = 6w + 55

T = 6(8) + 55

T = 48 + 55

T = 103

BRAINLIEST please if this helped!

First seven terms of the geometric series 5 - 25 +125-....

Answers

5-25+125-625+3,125-15,625+78,125

For each term, you multiply the previous term by 5, alternation between subtracting and adding

help me please ss'” -+=%%

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

Answer: 1, 15families, 26cars, Mean 1.7

Step-by-step explanation:2families had no car. 5families had 1 car, 4families had 2cars, 3families Had 3cars, 1 family had 4cars

Total 15families and 26 cars

Modal number of cars is 1, owned by 5families

On the last day of each school year, the principal of a middle school records the number of students enrolled. In 2016, there were 960 students enrolled Excem 2016 to 2017, enrollment increased by 5%. From 2017 to 2018, enrollment decreased by approximately 5%. How many students were enrolled in the school at the end of 2018?

A) 864
B) 958
C) 960
D) 1,056​

Answers

Answer:

D

Step-by-step explanation:

i hope you uderstand stand why it D

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

Answer:  [tex]92 \text{ yd}^2[/tex]

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

Work Shown:

[tex]A = \frac{h(b_1+b_2)}{2}\\\\A = \frac{8(19+4)}{2}\\\\A = \frac{8(23)}{2}\\\\A = \frac{184}{2}\\\\A = 92\\\\[/tex]

The [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel bases, while h is the height perpendicular to each base.

The units are in square yards, abbreviated as [tex]\text{yd}^2[/tex]

Think of a 1 yard by 1 yard square that has an area of [tex](1 \text{ yd})*(1 \text{ yd}) = (1)^2(\text{yd})^2 = 1 \text{ yd}^2[/tex]

The side of 9 yards is never used and put in there as a distraction.

Find the following in radians. You
should be able to do this without a
calculator.
cos-1 0
=
TT
?

Answers

By using the definition of the inverse cosine function, we will see that:

[tex]cos^{-1}(0) = pi/2[/tex]

How to complete the expression?

We have the expression:

[tex]cos^{-1}(0) = \frac{pi}{?}[/tex]

Remember that if:

[tex]cos(x) = y\\\\cos^{-1}(y) = x[/tex]

Then, in what do we need to evaluate the cosine function to get an output equal to zero?

[tex]cos( pi/2) = 0[/tex]

Then:

[tex]cos^{-1}(0) = pi/2[/tex]

Then we can replace the question sign with a 2.

If you want to learn more about the cosine function, you can read:

https://brainly.com/question/8120556

Austin rented a truck for one day. There was a base fee of 14.95 and there was an additional charge of 95 cents for each mile driven. Austin had to pay 130.85 when he returned the truck. For how many miles did he drive the truck

Answers

Answer:

122 miles

Step-by-step explanation:

Let n = number of miles driven

Given:

Base fee = $14.95Charge per mile = $0.95Total cost = $130.85

⇒ 14.95 + 0.95n = 130.85

Subtract 14.95 from both sides:

⇒ 0.95n = 115.90

Divide both sides by 0.95

⇒ n = 122

Therefore, he drove 122 miles.

1
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation
4x=5-2y
y-2x=7
ОА.
7 - 2x
ОВ.
41
5
OC.
5 - 41
2
OD.
2x + 7
Reset
Next

Answers

The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"

System of equation

System of equation are made of two or more equations with unknowns

Given the system of equation

4x=5-2y

y-2x=7

From equation 2:

y = 7 + 2x

The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"

Learn more on system of equation here: https://brainly.com/question/14323743

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Solve the equation. Write your answer as an integer or simplified fraction.
8n−9 n−2 =17
n=

Answers

Answer:

n = - 19

Step-by-step explanation:

8n - 9n - 2 = 17 , that is

- n - 2 = 17 ( add 2 to both sides )

- n = 19 ( multiply both sides by - 1 )

n = - 19

A culture started with 5000 becteria. after 2 hours it grew to 6500 becteria. Predict how many bacteria will be present after 18 hours. Round your answer to the nearest whole number. p=ae^kt

Answers

Answer:

About 53022 bacteria present.

Step-by-step explanation:

We can use the continuous growth formula:

[tex]\displaystyle P = A e^{kt}[/tex]

Where k is some constant.

With an initial population of 5000, it grew to 6500 after two hours.

In other words, P = 6500 when A = 5000 and t = 2:

[tex]\displaystyle (6500) = (5000)e^{k(2)}[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} 6500 & = 5000e^{2k} \\ \\ e^{2k} & = \frac{6500}{5000} = \frac{13}{10} \\ \\ \ln\left(e^{2k}\right) & = \ln\left(\frac{13}{10}\right) \\ \\ 2k & = \ln\frac{13}{10} \\ \\ k & = \frac{1}{2}\ln\frac{13}{10}\end{aligned}[/tex]

Therefore, our equation is:

[tex]\displaystyle P = \bigg{5000e}^{\dfrac{1}{2}\ln\dfrac{13}{10}t[/tex]

After 18 hours, t = 18. Hence:

[tex]\displaystyle \begin{aligned} P(18) & = \bigg{5000e}^{\dfrac{1}{2}\ln\dfrac{13}{10}(18)} \\ \\ & \approx 53022\end{aligned}[/tex]

Therefore, after 18 hours, there will be about 53022 bacteria present.

An odd degree has no maximum or minimum. True or False?

Answers

Answer:

answer is false in my opinion not sure

Martin orders a pasta dish that is priced at $11.99. He also orders a drink. The total cost for the pasta and drink is $14.48. Which of the following equations can be used to find the cost of the drink?

Answers

Answer:

14.48=11.99+y

or

y=14.48-11.98

Step-by-step explanation:

it should be one of these (the variable might be different)

y is the price of the drink

How many solutions are there to the equation below?
√x = -5
A. 2
OB. 1
OC. 0
OD. 25

Answers

A square root cannot be equl to a negative.


answer: C. 0

How do I solve this on my calculator to get the radius?​

Answers

Answer:

step by step lang Po keep learning

Pls Help Me
Pls show your work pls and thank you

Answers

Answer:

DWest I think

Step-by-step explanation:

Someone else asked this and this is what they think and it seems right

Jackie had both chocolate cake and coconut cake at her birthday party. There were 25 people at the party, and 40% of them picked chocolate cake. How many people picked chocolate cake?

AND PLEASE NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

10 is the answer because 25% of 40 is 10

James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.

How much more does one of the heaviest bags weigh than one of the lightest bags?

Enter your answer as a mixed number in simplest form

Answers

The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.

What is dot plot or line plot?

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.

The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is

James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.

Note that the value of 1/4 is 0.25 which is less than the value of 1/2 which is 0.5.The value of 3/4 is 0.75.

In the line plot, in the 6th section, we get the highest value as 5 1/2. Similarly, the lowest value in the line plot is 4 1/4.

The difference between these values is,

[tex]d=5\dfrac{1}{2}-4\dfrac{1}{4}\\d=\dfrac{5\times2+1}{2}-\dfrac{4\times4+1}{4}\\d=\dfrac{10+1}{2}-\dfrac{16+1}{4}\\d=\dfrac{11}{2}-\dfrac{17}{4}\\d=\dfrac{11\times2-17}{4}\\d=\dfrac{5}{4}[/tex]

Thus, the number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.

Learn more about the dot plot here;

https://brainly.com/question/15853311

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Solve the equation 25z2 + 140 = −29 by using square roots.
A. z = ±13/5
B. z = ±29/5
C. no real solutions
D. z = ±7/5

Answers

Answer:

Option C, no real solutions

Step-by-step explanation:

Step 1:  Subtract 140 from both sides

[tex]25z^2 + 140 = -29[/tex]

[tex]25z^2 + 140 -140 = -29 -140[/tex]

[tex]25z^2 = -169[/tex]

Step 2:  Divide both sides by 25

[tex]\frac{25z^2}{25} = \frac{-169}{25}[/tex]

[tex]z^2 = -6.76[/tex]

Step 3:  Square root both sides

[tex]\sqrt{z^2} = \sqrt{-6.76}[/tex]

Since we are trying to square root a negative it would cause imaginary solutions so in conclusion we have no real solutions.

Answer:  Option C, no real solutions


Which of the following functions is graphed below?

Answers

Answer:

b

Step-by-step explanation:

from this year to ten years later, the number of people employed as physician assistants in the country is expected to increase by 47%. the number of people employed as physician assistants today is 69,000. Find the predicted number of physician assistants after ten years

Answers

Answer:

101430

Step-by-step explanation:

69000=100 what about 147%. 69000×147/100=101430

What are the missing numbers in this series: 10,16,21,26,31,

Answers

Answer:

38

Step-by-step explanation:

16 - 10 = 6

21 - 16 = 5

26 - 21 = 4

31 - 26 = 5

31 + 6 = 38

The next missing number is 38.

From there, continue the pattern.

Evaluate 5(a•4)+ b, 1 when a=-andb=12. 3 O A) 14 3 OB) 17 2 O C) 18 3 OD) 27


HELP ASAP ​

Answers

Evaluate 5(a•4)+ b, when a = 1/3 and b=12

The Answer is

C. 18 2/3

hope it's help hshshs

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