what is 8 7/8+1/2 and what is 45.35 + 40 7/10

Answers

Answer 1

8 7/8+1/2

1) We need to turn that Mixed number into an improper fraction, by keeping the denominator and multiplying it by the whole number, and then adding to the numerator of that Mixed Number:

[tex]8\frac{7}{8}=\frac{8\cdot8+7}{8}=\frac{71}{8}[/tex]

2) Adding then:

[tex]\frac{71}{8}+\frac{1}{2}=\frac{8\colon8\times71+8\colon2\times1}{8}=\frac{71+4}{8}=\frac{75}{8}[/tex]

Turning back to Mixed Number:

Dividing 75 by 8 and placing the quotient as the whole number, the divisor as the denominator, and the remainder as the numerator we have the mixed number back.

2)45.35 + 40 7/10​

Rewriting 45.35 as a fraction:

[tex]\begin{gathered} 45.35\text{ =}\frac{4535}{100} \\ 40\frac{7}{10}+\frac{4535}{100} \\ \frac{407}{10}+\frac{4535}{100} \\ \frac{4070+4535}{100} \\ \frac{8605}{100} \\ \frac{1721}{20} \end{gathered}[/tex]

Note that we've rewritten as fractions, and then turned them into improper ones, added them, and then simplified.

3) Hence, the answer is

[tex]\begin{gathered} a)9\frac{3}{8}\text{ or }\frac{75}{8} \\ b)\text{ }\frac{1721}{20} \end{gathered}[/tex]

What Is 8 7/8+1/2 And What Is 45.35 + 40 7/10

Related Questions

Reflect (1,-4) Over the Y axis and over the X axis.

Answers

Answer

Check Explanation

Explanation

To reflect a point A (x, y) over the y-axis, the new coordinates become A' (-x, y)

For the point B(x, y) over the x-axis, the new coordinates become B'(x, -y)

So, reflecting the point (1, -4) over the y-axis, we have (-1, -4)

Reflecting the point (1, -4) over the x-axis, we have (1, 4)

Reflecting (1, -4) over both x-axis and then y-axis, we have (-1, 4)

Hope this Helps!!!

find the values of the variables X and Y in the given parallelogram

Answers

In the given parallelogram

From the property of diagonals of Parallelogram

The diagonals are bisect each other into equal parts

So, according to the figure

length 2x= length of y

2x=y

Similarly for the second diagonal,

length y+4=length3x

y+4=3x

Simplify the both equation by substitution method,

In substitution method, substitute the value of any one varibale and put into the another equation and simplify

[tex]\begin{gathered} 2x=y \\ y=2x \\ \text{Substitute the value of y into the other equation} \\ y+4=3x \\ 2x+4=3x \\ 3x-2x=4 \\ x=4 \end{gathered}[/tex]

Now substitute the value of x=4 into the first equation and simplify for y

[tex]\begin{gathered} x=4 \\ 2x=y \\ 2(4)=y \\ y=8 \end{gathered}[/tex]

So the value of varriables x = 4 and y=8

Answer : A) x=4, y=8

Craig earns $2.50 per hour plus $3.50 for each haircut he gives.He worked 7 hours and gave 4 haircuts. How much did he earn?a. $31.50b. $168c. $46d. $17.50

Answers

Craig earns $2.50 per hour plus $3.50 for each hair cut he gives.

He worked for 7 hours.

In hour basis, he earned

[tex]2.50\times7=17.5[/tex]

He gave 4 hair cuts.

For 4 haircuts, he earned

[tex]3.50\times4=14[/tex]

So, he total earned

[tex]17.5+14=31.5[/tex]

Hence, the correct option is (A).

identify the special product by writing the letter of the answer provided. ( number 7 question in photo. )

Answers

(7)

Given the equation;

[tex](y+9)(y-9)=y^2-81[/tex]

A binommial is a polynomial that is the sum of two terms, that is;

[tex]y^2-81\ldots.\ldots\ldots\ldots.\text{ is a binommial}[/tex]

Thus;

[tex](y+9)(y-9)=y^2-81[/tex]

is a binommial that is a product of sum and difference of two terms.

CORRECT OPTION: D

More people are purchasing food from farmers' markets around the country. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 1.71.7% every six months. If there were 74997499 farmers' markets in 2019, how many will there be in 99 years?Given the exponential growth scenario above, answer the following questions:What is the initial value, P0P0 in this problem? What is the growth factor or growth rate (as a decimal value)? What is the nn value, or number of time periods? Question Help Question 1: Read 1

Answers

Step 1

Given;

[tex]\begin{gathered} Initial\text{ farmer market=P}_0=7499 \\ b=0.017 \\ n=number\text{ of time periods} \end{gathered}[/tex]

Step 2

The exponential function for the question is

[tex]\begin{gathered} P=P_0(1+b)^n \\ P=P_0(1+0.034)^n \\ P=P_0(1.017)^n \end{gathered}[/tex]

Step 3

The initial value in this problem is;

[tex]P_0=7499[/tex]

Step 4

The growth rate factor as a decimal will be;

[tex]1.017[/tex]

Step 5

What is the n value or a number of time periods?

[tex]n=18[/tex]

Step 6

How many will there be in 9 years

[tex]\begin{gathered} P=7499(1.017)^{18} \\ P=10157.35207 \\ P\approx10157\text{ farmers' markets} \end{gathered}[/tex]

takes Kim 11 hours to proof a chapter of Hawkes Learning SystemsIntroductory Algebra book and it takes Bethany 6 hours. How long would it take them working together? (Round your answer to two decimal places)

Answers

Answer

3.88 hours

Explanation:

If it takes Kim 11 hours to proof a chapter of Hawkes Learning Systems Introductory Algebra book, this shows that she will prove 1/11 of the chapter in 1 hour.

Similarly, if it took Bethany 6hrs to proof the same chapter, she will prove 1/6 of the chapter in 1hour

If x is the time take to read a chapter if the work together, the time it will take them working together is given as

[tex]\begin{gathered} \frac{1}{x}=\frac{1}{11}+\frac{1}{6} \\ \frac{1}{x}=\frac{6+11}{66} \\ \frac{1}{x}=\frac{17}{66} \end{gathered}[/tex]

Cross multiply

[tex]\begin{gathered} 17x=66\times1 \\ 17x=66 \\ x=\frac{66}{17}=3\frac{15}{17}=3.88hours \end{gathered}[/tex]

Hence the time it will take them to work together is 3.88 hours

Which fraction has a value greater than 0.4? A 1/3 B 4/10 C 3/8 D 5/9

Answers

Answer:

D 5/9

Step-by-step explanation:

This fraction equates to over 0.5

Answer:

1/2, 5/8, 3/4

Step-by-step explanation:

1/2 is 0.5 5/8 is .625 and 3/4 is .75

Sam is collecting pennies. On the first day of the month, Sam is given 16 pennies Each day after than he gets 4 more pennies. Which of the following equations defines how many pennies he has after the nth day

Answers

ANSWER:

[tex]d_n=4n+16_{}[/tex]

STEP-BY-STEP EXPLANATION:

If n is the number of days that pass.

So each day Sam gets 4 more, which means that he would multiply the number of days by 4, before adding that number to the original number of pennies, which was 16.

Therefore, the equation would be:

[tex]d_n=4n+16_{}[/tex]

11. Mr. Garcia uses a cylindrical container to protect his diploma. The dimensions of the cylinder are shown in the diagram. IS cm ------ 10 cm Which measurement is closest to the total surface area of the container in square centimeters?

Answers

Given data:

The given figure of cylinder.

The total surface area of the cylinder is,

[tex]\begin{gathered} SA=2\pi r(r+h) \\ =2\pi\frac{d}{2}(\frac{d}{2}+h) \end{gathered}[/tex]

Substitute the given values in the above expression.

[tex]undefined[/tex]

Let Fx= x^3 + 2^x2 - 18 For what values of x is f(x) = 9 Enter your answers as a comma-separated list.

Answers

We have the following function f(x) = x^3+2x^2 -18. We want to solve the following equation

[tex]x^3+2x^2-18=9[/tex]

By subtracting 9 on both sides, we get the equivalent equation

[tex]x^3+2x^2-27=0[/tex]

convert to degrees minutes and seconds54.158°

Answers

[tex]Answer\colon54^o\text{ 9' 28.8''}[/tex]

Convert 54.158 degrees

Firstly, Use the whole number as degree

54 degree

to convert to minutes

(54.548 - 54) x 60

= 0.158 x 60

= 9 minutes

To convert to seconds

(54.158 - 54 - 9/60) x 3600

= (0.158 - 0.15) x 3600

= 0.008 x 3600

= 28.8 seconds

This can be written as

[tex]54^o\text{ 9' 28.8''}[/tex]

[tex]y = 3x + 19 \\ y = 5x + 33[/tex]how do you solve this with substitution?

Answers

We have the next system of equations:

[tex]\begin{gathered} y=3x+19\text{ (eq. 1)} \\ y=5x+33\text{ (eq. 2) } \end{gathered}[/tex]

Substituting y = 3x + 19 into the second equation, and solving for x:

[tex]\begin{gathered} 3x+19=5x+33 \\ 3x+19-3x-33=5x+33-3x-33 \\ -14=2x \\ \frac{-14}{2}=\frac{2x}{2} \\ -7=x \end{gathered}[/tex]

Substituting x = -7 into the first equation:

[tex]\begin{gathered} y=3(-7)+19 \\ y=-21+19 \\ y=-2 \end{gathered}[/tex]

The solution is (-7, -2)

in the right triangle ABC, if m < C = 90 and sun A = 3/5, cos B is

Answers

Given a right angle triangle ABC:

[tex]\begin{gathered} m\angle C=90 \\ \sin A=\frac{3}{5} \end{gathered}[/tex]

As the measure of angle C = 90

so, the sum of the angles A and B = 90

So, angles A and B are complementary angles

so,

[tex]\begin{gathered} \sin A=\cos B \\ \\ \cos B=\sin A=\frac{3}{5} \end{gathered}[/tex]

so, the answer will be cos B = 3/5

solutions to 2y-3x=5

Answers

The equation 2y - 3x = 5 has infinitely many solutions.

In this question, we have been given an equation 2y-3x=5

We need to solutions to given equation.

for x = -1,

2y -3(-1) = 5

y = 1

for x = 0,

2y - 3(0) = 5

y = 5/2

y = 2.5

for x = 1,

2y - 3(1) = 5

y = 4

In this way for any real value of x we can find infinitely many values of y.

Therefore, the equation 2y - 3x = 5 has infinitely many solutions.

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Type the correct answer in each box. Use numerals instead of wordsFind the value of each decimal model and then find the sum

Answers

To find the decimal values you have to count the number of shaded squares and divide it by the total number of squares in the grid.

Left value:

The grid is 10 x 10, which means that it is divided into 100 squares.

There are 23 shaded squares in the grid, so you can determine the decimal value as follows:

[tex]\frac{nº\text{shaded squares}}{total\text{ number of squares}}=\frac{23}{100}=0.23[/tex]

Right value:

The grid is 10 x 10, so it is divided into 100 squares.

The number of shaded squares is 62. Divide 62 by 100 to determine the decimal value:

[tex]\frac{nº\text{shaded squares}}{total\text{ number of sqaures}}=\frac{62}{100}=0.62[/tex]

Now what is left to do is to add both decimal values:

[tex]0.23+0.62=0.85[/tex]

A triangle is formed by three roads that connect Shelbyville, Springfield, and Capitol City together. These roads are 19, 21, and 24 miles long. This forms a(n) _______ triangle.

Answers

Given:

A triangle is formed by three roads that connect Shelbyville, Springfield, and Capitol City together.

These roads are 19, 21, and 24 miles long.

So, as we can see the three sides are different in lengths

So, the answer will be:

This forms a scalene triangle.

Given that U = (a, b, c, d, e, f, g} and A = {c,d, e, f], B = (a, c, e, g}, and C = (e, f, 9 }. Find the following sets.a.AU(BNC)b.A'n(BUC)c. A n(B'nc')

Answers

a) A U (B ∩ C)

In order to obtain the result for the previous set, first find (B ∩ C)

is the intersection operation (the result is a set with common elements in the implied sets) Based on the given sets, for interection operation, you get:

(B ∩ C) = {e , g}

Next, the union operation with A results (union operation results in a set with all values of both sets but without repeating elements):

A U (B ∩ C) = {c , d , e , f , g}

b) A' ∩ (B U C)

A' is the complement of A (all values of the universe not present in A). In this case:

A' = {a , b , g}

B U C = {a , c , e , f , g}

Then:

A' ∩ (B U C) = {a , g}

c) A i (B' ∩ C')

B' = {b , d , f}

C' = {a , b , c , d}

B' ∩ C' = {b , d}

Then:

A ∩ (B' ∩ C') = {d}

The function h(x)=0.4+2 models the height of the water level in a pool, in feet after x hours. Part A: After 1 hour, the height of the water level is:

Answers

Answer:

Need help myself

Step-by-step explanation:

The height of the water level after 1 hour is 2.4 units.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is h(x)=0.4x+2.

Given input value is x=1

So, the height of the water level is

h(1)=0.4(1)+2

= 0.4+2

= 2.4 units

Therefore, the height of the water level after 1 hour is 2.4 units.

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there are 750 seats.the number of seats in a row is 5 less than the number of rows.how many seats are there in a row?

Answers

Given:

The total number of seats, T=750.

Let x be the number of seats in a row and y be the number of rows.

It is given that the number of seats in a row is 5 less than the number of rows.

Hence, the number of seats in a row can be expressed as,

[tex]x=y-5\text{ ---(a)}[/tex]

Now, expression for the total number of seats can be given by,

[tex]T=xy[/tex]

Plug in x=y-5 and T=750 in the above equation and simplify.

[tex]\begin{gathered} 750=(y-5)y \\ 750=y^2-5y \\ y^2-5y-750=0\text{ ---(1)} \end{gathered}[/tex]

The equation (1) is in the form of a quadratic equation of the form,

[tex]ay^2+by+c=0\text{ ---(2)}[/tex]

Comparing equations (1) and (2), a=1, b=-5 and c=-750.

Now, using discriminant method, the solution of y can be expressed as,

[tex]\begin{gathered} y=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ y=\frac{-(-5)\pm\sqrt[]{(-5)^2-4\times1\times(-750)}}{2\times1} \\ y=\frac{5\pm\sqrt[]{25+3000}}{2\times1}\text{ } \\ y=\frac{5\pm\sqrt[]{3025}}{2} \\ y=\frac{5\pm55}{2}\text{ } \\ y=\frac{5+55}{2}\text{ or y=}\frac{5-55}{2} \\ y=\frac{60}{2}\text{ or y=}-\frac{50}{2} \\ y=30\text{ or y=-25} \end{gathered}[/tex]

Since the number of rows cannot be negative, y=30.

Put y=30 in equation (a) to find x.

[tex]\begin{gathered} x=30-5 \\ x=25 \end{gathered}[/tex]

Therefore, the number of seats in a row is 25.

Using the cosine law to determine the measure of we could use _______:

Answers

Solution

- The Cosine law is given below as:

[tex]\begin{gathered} Given\text{ }\triangle ABC,\text{ with sides }a,b,c\text{ and angles }\angle A,\angle B,\angle C\text{ such that} \\ a\text{ is opposite }\angle A \\ b\text{ is opposite }\angle B \\ c\text{ is opposite }\angle C \\ \\ \text{ We have:} \\ a^2=b^2+c^2-2(bc)\cos\angle A \end{gathered}[/tex]

- We can make [tex]\begin{gathered} a^2=b^2+c^2-2bc\cos\angle A \\ \text{ Subtract }b^2\text{ and }c^2\text{ from both sides} \\ \\ a^2-b^2-c^2=-2bc\cos\angle A \\ \\ \text{ Divide both sides by }-2bc \\ \cos\angle A=\frac{a^2-b^2-c^2}{-2bc} \\ \text{ } \\ \text{ Take the cos inverse of both sides} \\ \\ \therefore\angle A=\cos^{-1}(\frac{a^2-b^2-c^2}{-2bc}) \end{gathered}[/tex]

Final Answer

The answer is

[tex]\operatorname{\angle}A=\cos^{-1}(\frac{a^{2}-b^{2}-c^{2}}{-2bc})\text{ \lparen OPTION C\rparen}[/tex]

In Exercises ***, find the value of x so that the function has the given value.4. f(x) = 6x; f(x) = -245. g(x) = -10x; g(x) = 15

Answers

We have to find the value of x, such that the function:

[tex]f(x)=6x[/tex]

takes the value -24. This means that such x has to satisfy:

[tex]\begin{gathered} f(x)=-24 \\ 6x=-24 \end{gathered}[/tex]

Now, we just clear out the variable x. We obtain:

[tex]\begin{gathered} x=-\frac{24}{6} \\ x=-4 \end{gathered}[/tex]

This means that the value x=-4 makes the function f to be -24.

What is the equation of the line that is perpendicular tothe given line and passes through the point (2, 6)?108(2.6)6x = 2O x = 62-10 -8 6 -22O y = 2O y = 62468 10X1-8-4)(8.4)68-10Oh

Answers

The line in the graph is horzontal and slope of a horizontal line is 0.

Determine the slope of perpendicular line as product of slope of perpendicular line is -1.

[tex]\begin{gathered} m=-\frac{1}{0} \\ =\text{undefined} \end{gathered}[/tex]

The slope is undefined means line is vertical and passing through the point (2,6). So equation of line is,

[tex]x=2[/tex]

Answer: x = 2

Prove a quadrilateral with vertices G(1,1), H(5,3) and J(0,3) is a rectangle

Answers

The quadrilateral is a rectangle because

1) GH is parallel and equal to JI

2) GJ is parallel and equal to HI

3) Angles at the vertices are perpendicular

уA 5-digit PIN number is selected. What it the probability that there are no repeated digits?hoThe probability that no numbers are repeated isWrite your answer in decimal form, rounded to the nearest thousandth.Check Answer

Answers

Since there are 5 choices and there are 10 possible digits for each digit of the PIN( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

The total value possible 5 pins are 10⁵ = 100000

Using permutation, since 5 numbers are selected without repetition:

[tex]\frac{n!}{(n-k)!}=\frac{10!}{(10-5)!}=30240[/tex]

The probability that no numbers are repeated is= 30240/ 100000

0.302

Name:25. What is an equation in slope-intercept form for the line given?88X•1, -3)1-3, 5)-8A. y = 1/2(x)+(-7/2)B. y = 1/2(x) -(1)C. y = 2(x) +(-5/2)D. y = 2(x)+(-7/2)

Answers

Given the points (-3,-5) and (1,-3), we can derive the equation of the line using the formula:

[tex]\begin{gathered} \frac{y-y_1}{x-x_1}\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ by\text{ substituting, we have} \\ \frac{y\text{ - (-5)}}{x\text{ - (-3)}}\text{ =}\frac{-3\text{ - (-5)}}{1\text{ - (-3)}} \\ \frac{y\text{ + 5}}{x\text{ + 3}}\text{ = }\frac{2}{4} \\ 4(y\text{ + 5) = 2(x + 3)} \\ 4y\text{ - 2x + 14 = 0} \\ y\text{ = }\frac{1}{2}x\text{ }-\frac{7}{2} \end{gathered}[/tex]

This corresponds to option A

Which fractions are equivalent to ?Select all that apply. 64 64 yi 764 8 1 4

Answers

We are given the following radical expression

[tex]\sqrt[3]{\frac{1}{64}}[/tex]

Let us simplify it using the properties of radicals.

The quotient property of radicals is given by

[tex]\sqrt[n]{\frac{x}{y}}=\frac{\sqrt[n]{x}}{\sqrt[n]{y}}[/tex]

Let us apply the above property

[tex]\sqrt[3]{\frac{1}{64}}=\frac{\sqrt[3]{1}}{\sqrt[3]{64}}[/tex]

Further simplifying the radical

[tex]\frac{\sqrt[3]{1}}{\sqrt[3]{64}}=\frac{1^{\frac{1}{3}}}{64^{\frac{1}{3}}}=\frac{1}{4}[/tex]

The cube root of 1 is 1 and the cube root of 64 is 4

Therefore, the correct options are

[tex]\begin{gathered} \frac{\sqrt[3]{1}}{\sqrt[3]{64}} \\ \frac{1}{4} \end{gathered}[/tex]

Write an expression for the sequence of operations described below.multiply p by q, then multiply 10 by the resultDo not simplify any part of the expression.

Answers

Answer:

p x q x 10

Explanation:

First, we interpret the statement: multiply p by q

[tex]=p\times q[/tex]

The result is: p x q

So if we then multiply 10 by the result, we have:

[tex]=p\times q\times10[/tex]

This is the required expression.

Question 2: 14 ptsOut of the 10,000 people who took their driving test for the first time, it was found that 6500 passed the test onthe first attempt. Estimate the probability that a randomly selected person would pass the driving test on thefirst attempt.A0 0.5, or 50%O 0.65, or 65%O 0.8. or 80%• 0.35, or 35%

Answers

To calculate the probability of an event we would use the probability formula as follows;

[tex]P\lbrack E\rbrack=\frac{\text{Number of required outcomes}}{Number\text{ of possible outcomes}}[/tex]

From the experiment conducted, 10,000 people took the driving test and 6500 passed the test on the first attempt. Therefore, to find the probability that a person randomly selected would pass the driving test on first attempt;

[tex]\begin{gathered} P\lbrack\text{first attempt\rbrack=}\frac{Number\text{ of required outcomes}}{Number\text{ of all possible outcomes}} \\ P\lbrack\text{first attempt\rbrack=}\frac{6500}{10000} \\ P\lbrack\text{first attempt\rbrack=}\frac{65}{100} \\ P\lbrack\text{first attempt\rbrack=0.65 or 65\%} \end{gathered}[/tex]

ANSWER:

The second option is the correct answer.

A group of people were given a personality test to determine if they were type a or type B. The results are shown in the table below:…Compare P(Male or Type B) with P(Male | Type B)

Answers

Given,

The data table of the gender and its type is shown in question tab.

Required

P(male or Type B)

P(Male| type B)

The value of P( male or Type B) is calculated as,

[tex]\begin{gathered} P\left(male\text{ }or\text{ }TypeB\right)\text{ =}\frac{65+38+12}{65+85+38+12} \\ =\frac{115}{200} \\ =\frac{57.5}{100} \\ =0.575 \end{gathered}[/tex]

The value of P(Male|Type B) is calculated as,

[tex]\begin{gathered} P(Male|Type\text{ B\rparen=}\frac{38}{50} \\ =\frac{76}{100} \\ =0.76 \end{gathered}[/tex]

Here, P( male or Type B) < P(Male|Type B) .

Hence, option (P( male or Type B) < P(Male|Type B) ) is correct.

A gallon of paint will cover 600 ft.² of wall space if I plan to paint a room his walls measure 1200 ft.² how many gallons of paint will I need

Answers

You would need 2 gallons of paint
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