Add the reciprocal of 1 1/5 to the sum of the numbers (+1.25) and (−1 3/4 ).

Answers

Answer 1

To find the reciprocal of a mixed number, we first convert it to an improper fraction. 1 1/5 = 5/5 + 1/5 (remember that 1 whole would have the same numerator and denominator) = 6/5.
The reciprocal is this number flipped, so 5/6.
To find the sum of 1.25 and -1 3/4, we will convert the decimal to a fraction. 0.25 is read as "twenty-five hundredths," so the fraction would be 25/100. This will simplify to 1/4, so 1.25 = 1 1/4.
1 1/4 + -1 3/4 = -2/4 = -1/2.
Now we add 5/6 + -1/2:
Find the least common denominator (LCD). 6 is the first number that both 6 and 2 will divide into evenly. This gives us 5/6 + -3/6 (we multiply 2 by 3 to get 6, so we multiply the numerator, -1, by 3 as well). This equals 2/6 which simplifies to 1/3.

Answer 2

The answer would be 1/3 after adding the reciprocal of 1 1/5 to the sum of the numbers (+1.25) and (−1 3/4 ).

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The fraction is 1 1/5 = 6/5

The reciprocal of the above fraction = 5/6

= 1.25 - 1 3/4 + 5/6

= 1.25 - 7/4 + 5/6

= 1.25 - 11/12

= 4/12

= 1/3

Thus, the answer would be 1/3 after adding the reciprocal of 1 1/5 to the sum of the numbers (+1.25) and (−1 3/4 ).

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Related Questions

So i need help (picture included)

Answers

we have that
y=-2x+3
y=(1/3)x-4

using a graph tool
see the attached figure

the solution of the system is the point (3,-3)

Find the center of the circle whose equation is x² + y² = 4.

Answers

Since the center of the circle is represented by whatever numbers are being subtracted by x and y, and there are no numbers tagged to x and y, your center is the origin, or (0,0).

Answer:

The center of circle is [tex](0,0)[/tex]

Step-by-step explanation:

We need to find the center of the circle of the equation [tex]x^{2}+y^{2}=4[/tex]

Since, the general equation of circle is [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is [tex]x^{2}+y^{2}=4[/tex] as,

[tex]x^{2}+y^{2}=2^{2}[/tex]

Compare [tex]x^{2}+y^{2}=2^{2}[/tex] with [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

so, [tex](x-0)^{2}+(y-0)^{2} = 2^{2}[/tex]

Hence, the center of circle is [tex](0,0)[/tex]

Which relationship describes angles 1 and 2?

Select each correct answer.

supplementary angles
complementary angles
vertical angles
adjacent angles

Answers

complimentary angles. when the two angles are added together they will equal 90°. anytime you see a square there in the corner of a triangle that means that corner (angle) is a 90° angle.

Kenya has 2 hours to work a 100 problem math test. At what rate must she work in order to finish in 2 hours?
A) 0.83 problems per minute
B) 1.23 problems per minute
C) 1.35 problems per minute
D) 1.41
problems per minute

Answers

What does this quote tell us about the media’s influence during the Nixon investigation?

"We saw the public man in his first administration, and we were impressed. Now in about 300,000 words we have seen the private man, and we are appalled." – Clayton Kirkpatrick, editor of the Chicago Tribune, a newspaper that published the entire transcript of Nixon’s released communications

A. The media shared real evidence and their opinions on it, which probably influenced citizen opinion. B. The media disapproved of the president’s private actions but still supported and re-elected him. C.The media rallied behind the president because of his great record during his first term in office. D. The media could not publish or discuss real evidence related to the president or the investigation. please help me.

the answer for u is

2 hours=120 minutes
You simply just do 120/100=1.2
So the answer is B. 1.23 or 1.2 (rounded) per minute

I believe it should be c because you are a savage

suppose that w and t vary inversely and that t=1/5 when w=4. write a function that models the inverse variation and find t when w=9
A. t= 1/5w; 4/45
B. t= 1/5w; 1/5
C. t= 1/20w; 1/80
D. t= 4/5w;4/45

Answers

Two variables vary inversely if their product is constant (does not change). The variables w and t vary inversely so their product wt = k were k is a constant. Solving this for t we get t=k/w

We are told that w = 4 and t = 1/5 so we know their product wt = (4)(1/5) = 4/5. This is what I called k before.

Therefore the relationship between w and t can be modeled by t = (4/5) / w. That is, t = 4 / 5w

Further, when w = 9, we find t by substituting 9 for w in the equation just found and obtain: t = 4 / [(5)(9)] = 4/45. That is, when w = 9, t = 4/45.

This mean choice D is the correct answer.

The answer is D. t=4/5w; 4/45

Assume that the grasshopper in the food pyramid above must eat half its body weight in grass each day. If an average-size grasshopper weighs 2 grams, and 1 blade of grass weighs 0.1grams (one tenth of a gram), how many blades of grass does the grasshopper need to eat each day?

Answers

The first thing we need to know is how much grass the grasshopper needs to eat.
We have:
"must eat half its body weight in grass each day":
(2 grams) * (1/2) = 1 gram
Then,
"1 blade of grass weighs 0.1grams"
Then the amount you need to eat is given by:
N = (1) / (0.1)
N = 10 blades of grass
Answer:
the grasshopper needs to eat 10 blades of grass each day

Answer:

The grasshopper needs to eat 10 blades of grass each day.

Step-by-step explanation:

The grasshopper in the food pyramid above must eat half its body weight in grass each day.

The average weight of the grasshopper is 2 grams.

The weight of one blade of grass is 0.1 grams.

Now,

The weight of grass eating by the grasshopper per day is 1 gram.

Let us assume that the grasshopper eats the "n" number of blades of the grass.

Therefore,

[tex]\begin{aligned}n \times 0.1\;\rm{gm}&=1\;\rm{gm}\\n&=\dfrac{1}{0.1}\\n&=10\end{aligned}[/tex]

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Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.

Answers

what do we know?
55 hours in 2 weeks
32 hours in the first week
So, 32 plus the amount of time she worked on the project the second week adds up to 55.
32 + x = 55
Now, simply solving! What you do to one side, you do to the other in order to isolate the variable
(32 - 32) + x = (55 - 32)
x = 23
She worked 23 hours on the project during the second week!

I need help remembering the steps to solve a polynomial equation

Answers

Example 1 – Solve: 3x3 = 12x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

3x^3-12=0

Step 2: Use a factoring strategies to factor the problem.

3x(x^2-4)=0
3x(x+2)(x-2)=0

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

3x=0 or x+2=0 or x-2=0

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

x=0 or x=-2 or x=

I hope this helped you!

HELP ASAP!!!!!!!!!!!!!!!!!!!!
a. 49
b. 12
c. 7
d. 1

Answers

you could use the Pythagorean theorem which is a squared +b squared= c squared

you know a and c
a=24
c=25

24 squared + x squared = 25 squared
576+x squared =625
subtract 576 from both sides
x squared = 49
square root x and 49
x=7
C is the answer

BRAINLIEST!

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.

Answers

Answer:

D. The manager should check both relative frequencies by row and by column to look for an association.

Step-by-step explanation:

the correct answer would be D

A small toy car costs $3 . A large toy car costs 5 times as much as the small one . Aaron wants to buy one of each . Which equation can he use to find the cost (a) of the two cars ?
(A) 5x a = $3 +. $3
(B) 5x ($3 + $3 ) = a
(C) $3 +(5 x $3 ) =a
(D) (5 x $3 ) \ 3 = a
(/) division

Answers

Answer: the answer is B

Step-by-step explanation:

The equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a small toy car costs $3. A large toy car costs 5 times as much as the small one.

The equation can be written as:-

a = $3 + ( 5 x $3 )

Therefore, the equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.

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I'm confused on what this is asking me to do. Can someone explain to me, please?

Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write two angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.

Answers

is asking on using two angles and the side joining them, like in the picture below, notice the two blue angles and the red side joining them.

the only thing is that, you have to use angles, and a side, that will be feasible to produce a triangle, meaning, the other two sides will at some point meet and close off the triangle.

abcd is an isosceles trapezoid with legs AB and CD and base BC. If the length of AB is 7y-4, the length of BC s 4y-6 and the length of CD is 8y-18, find the value of y. 30 points for brainliest!

Answers

We are told that the legs of the isosceles trapezoid are AB and CD

AB = 7y - 4
CD = 8y - 18

In any isosceles trapezoid, the two legs are of equal length.
Therefore, AB = CD

⇒ 7y - 4 = 8y - 18

Add 18 to both sides of the equation
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y

Subtract 7y from both sides of the equation
7y - 7y + 14 = 8y - 7y
14 = y
⇒ y = 14

The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

Given :

ABCD is an isosceles trapezoid with legs AB and CD and base BC.If the length of AB is (7y - 4), the length of BC s (4y - 6) and the length of CD is (8y - 18).

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

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0.025 milliliters is the same as: cm3 and L

Answers

0.025 milliliters is equal to 0.025 cubic centimeters and 0.000025 liters. The conversion is based on the fact that 1 milliliter is equivalent to 1 cubic centimeter, and there are 1000 milliliters in 1 liter.

To convert 0.025 milliliters to cubic centimeters (cm³) and liters (L), we need to understand the relationships between these units.

Cubic Centimeters (cm³):

Since 1 milliliter is equivalent to 1 cubic centimeter, 0.025 milliliters is equal to 0.025 cubic centimeters.

Liters (L):

There are 1000 milliliters in 1 liter. Therefore, to convert milliliters to liters, we divide the volume in milliliters by 1000.

0.025 milliliters ÷ 1000 = 0.000025 liters.

In summary, 0.025 milliliters is equivalent to 0.025 cubic centimeters and 0.000025 liters.

The question probable may be:

What would be the value of 0.025 milliliters in cm^3 and also in L.

Final answer:

0.025 milliliters is equivalent to 0.025 cubic centimeters because 1 milliliter equals 1 cubic centimeter. Also, 0.025 milliliters is equal to 0.000025 liters as there are 1,000 milliliters in a liter.

Explanation:

The student's question is: 0.025 milliliters is the same as how many cubic centimeters (cm3) and liters (L). This is a conversion problem involving units of volume. From the provided information, we understand that 1 milliliter (mL) is exactly equal to 1 cubic centimeter (cm3). Therefore, if the student has 0.025 mL, this is directly equivalent to 0.025 cm3 because the conversion factor between mL and cm3 is 1.

Furthermore, recalling that 1 liter is equal to 1,000 milliliters, and since we are given a volume in milliliters, we can convert this to liters by dividing by 1,000. Consequently, 0.025 mL is equal to 0.025 / 1,000 L, which simplifies to 0.000025 L.

Write three functions.
In the first function, y should vary directly with x.
In the second function, y should vary inversely with x.
In the third function, the relationship between x and y should be neither inverse variation nor direct variation.

Describe the graph of each function and give a real-world example for each.

Answers

1) y = kx . . . . . for some constant k
.. The volume of an ideal gas is directly proportional to its absolute temperature.

2) y = k/x . . . . for some constant k
.. The volume of an ideal gas is inversely proportional to its pressure.

3) y = 1.8x +32
.. Temperatures in degrees Fahrenheit are linearly related to those in degrees Celsius, but the relation is neither directly nor inversely proprotional.

Find the value of y when x equals -14 -2x-3y=49

Answers

28 - 3y = 49
-3y = 21.
3y = -21
y = 7. Hope it helps! :)

A company produces plates with area A=πr^2, where r is the radius of the plate. Find the inverse by solving for r without switching the variables.

The inverse is r=____
Explain your reasoning.

Answers

since it says don't switch the variables so this is the answer

Final answer:

The inverse of the formula A = πr^2 is found by dividing the area A by π and then taking the square root of the resulting quotient, which gives r = √(A/π). The accuracy of this inverse is limited by the number of significant figures in the original measurement of the radius.

Explanation:

To find the inverse of the formula A = πr^2 for the area of a circle, we want to solve for the radius r in terms of A. We follow these steps:

Starting with A = πr^2, divide both sides of the equation by π to isolate r^2: A/π = r^2.

Take the square root of both sides of the equation to solve for r: r = √(A/π).

The inverse is therefore r = √(A/π).

When using a calculator, it is important to remember that the number of significant figures in a given measurement limits the accuracy of the calculations. As shown in the example, if the radius has two significant figures, the calculated area has to be limited to two significant figures as well, thus A=4.5 m².

Which of these numbers is an irrational number? of these numbers is an irrational number? 3⁄5, Square root of 4, Square root of 25, Square root of 20, 5/3

Answers

square root of (20) Square roots are, for the most part, irrational. Not all of them, but most.

Show that all of the powers in the prime-power factorization of an integer n are even if and only if n is a perfect square

Answers

4r3e3et3et2t3et2wt3et2wt2w

Evaluate a/b for a= 1/2 and b= - 3/7

A) - 7/6

B) 3/14

C) - 3/14

D) - 32/21

Please explain your answers.
Thanks! : )

Answers

Evaluate a/b for a= 1/2 and b= - 3/7
You are given that a is 1/2 and b is -3/7
Write this down...

Answer: -7/5

Substitute the value of the variable into the expression and simplify.

Exact Form: −7/6

The teacher bought new crayons for her class. She bought 7 packs of 9 crayons. She already has 17 crayons in her classroom. She wants to divide the crayons evenly between her 10 students. How many crayons will each student receive? Use c as the variable. Write an equation and solve the problem.

Answers

[tex](7 \times 9) + 17 = 10 \times c \\ 63 + 17 = 10 c \\ c = \frac{80}{10} = 8[/tex]
hope this helps

How many drivers who start driving before they are 20 are convicted of a traffic violation within the first year of driving?

Answers

Nearly half!

Hope this helped.

Evaluate the exponential expression. Write your answer as a fraction in simplest form.

(2^3)^-2

Answers

Hey there! :D

(2^3)^-2

Multiply the powers.

2^-6

Put the negative on the bottom.

1/2^6

1/64= the equivalent fraction

I hope this helps!
~kaikers

Help please!
The length of a football field is 67 yards greater than the width the perimeter of the field is 346 yard. Find the length and width of the football field.

Answers

Hey. Let me help you on this one.

In order for us to solve this question, we will need to set up an equation with an unknown variable. We will then solve for it, thus receiving everything we need for the width and length of the football field. I will also be attaching an image with all the work shown, so make sure to take a look at it.

First of all, let's identify our total in the equation. In this case, if we add both length and width together, we will get one half of 346 - the perimeter due to the fact that perimeter calls for both widths, and both lengths of a rectangle.

Let's form the equation which we will then solve.

[tex]2[x+(x+67)]=346[/tex]

In this equation, x stands for the width. You can also see "x+67", which is the length of the rectangle. Both these values are added together, and multiplied by two. Let's start solving.

Let's simplify this equation.

[tex]4x+134=346[/tex]

As you can see, we have multiplied the sum of all these numbers by two. Now, let's get rid of 134 on both sides.

[tex]4x=212[/tex]

In that step, I have deducted 134 from both sides. Now, let's get rid of four on both sides by dividing it.

[tex]x=53[/tex]

Awesome! As we know, "x" is the width. Now, knowing the width, we can find the length simply by adding 67 to the variable x since length is 67 yards longer than the width.

[tex]53+67=120[/tex]

Great! Our answer is formed.

Answer: Length of the rectangle is 120 yards, and width of the rectangle is 53 yards.

Can you please check your question for grammatical errors and repost it? I cannot currently answer your question because it is unclear.

Which property is illustrated by this problem?

(3+4) + 5 = 3 + (4+5)

A. Associate property of addition

B. Additive identity

C. Commutative property of addition

Answers

I believe this one's Associate property of addition

Find the function rule.

X: -2, -1, 0, 1, 2
Y: 9,4, -1, -6, -11

Answers

The function rule is y = -5x - 1 , obtained by observing the linear relationship where y decreases by 5 as x increases by 1.

To find the function rule that relates the values of x to y , let's first observe the pattern in the given data:

[tex]x & y \\-2 & 9 \\-1 & 4 \\0 & -1 \\1 & -6 \\2 & -11 \\[/tex]

Notice that as x increases by 1, y decreases by 5. This suggests a linear relationship between x and y , where the slope of the line is -5.

The general form of a linear function is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

To find the y-intercept, let's pick any point from the table, for example, when ( x = 0 ), ( y = -1 ).

So, we can plug the values of ( x ) and ( y ) into the linear function formula:

[tex]\[-1 = (-5)(0) + b\][/tex]

[tex]\[-1 = 0 + b\][/tex]

[tex]\[b = -1\][/tex]

Now we have the slope (( m = -5 )) and the y-intercept (( b = -1 )), so the function rule is:

[tex]\[ y = -5x - 1 \][/tex]

Now, let's verify this function rule with another point from the table, for example, when ( x = 2 ):

[tex]\[ y = -5(2) - 1 \][/tex]

[tex]\[ y = -10 - 1 \][/tex]

[tex]\[ y = -11 \][/tex]

This matches the value of ( y ) in the table, confirming that our function rule is correct.

Calculate the maximum volume of a box that has no top and that is to be manufactured from a 30 inch by 20 inch piece of cardboard

Answers

The maximum volume is shown by a graphing calculator to be about 1056.3 in^3.

_____
That volume is achieved by folding the edges up 3.924 inches.

The volume as a function of box depth is
.. V = x(30 -2x)(20 -2x)
.. = 4x^3 -100x^2 +600x
Differentiating, we have
.. V' = 12x^2 -200x +600
We want to find where this is zero.
.. x = (200 ±√((-200)^2 -4(12)(600)))/24
.. = (200 -40√7)/24 . . . . . only the solution less than 10 makes sense
.. = (1/3)(25 -5√7)

Putting this into the formula for the volume, we find the volume of the box to be
.. V = (1000/27)*(10 +7√7) ≈ 1056.3 in^3

determine if the number is written in scientific notation. if not explain 5.6 x 10^12

A. no its not written as a power of 10

B.no the first factor is not a number between 1 and 10

C. yes the number is written in scientific notation

Explain your answer please

Answers

The correct answer is C) yes, the answer is written in scientific notation.

Explanation:

In scientific notation, we have a decimal number multiplied by a power of 10. The decimal number has the decimal point behind the first non-zero digit, and the exponent on the power of 10 tells us how many places to move the decimal.

In this problem, we have 5.6, which has the decimal after the first non-zero digit. We also have 10¹², which tells us to move the decimal 12 places.

This is in scientific notation.

Answer:

C. Yes, the number is written in scientific notation.

Step-by-step explanation:

We have been given a number [tex]5.6\times 10^{12}[/tex]. We are asked to determine whether our given number is written in scientific notation or not.

We know that when a number greater than 1 and less than 10 is multiplied by a power of 10, then the number is written in scientific notation.

Upon looking at our given number we can see the number 5.6 is between 1 and 10. In addition, 5.6 is being multiplied by 10 to the power 12.

Therefore, our given number is written in scientific notation and option C is the correct choice..

What is the range of the function f(x) = –2(6x) + 3?
A) (-oo,-2)
B) (-oo,3)
C) [-2,oo)
D) [3,oo

Answers

B is the answer to this question.....

Answer:

The range of the function is (-∞,3)

B is correct.

Step-by-step explanation:

Given: [tex]f(x)=-2(6)^x+3[/tex]

It is an exponential function which coefficient is negative.

Exponential function: [tex]f(x)=ab^x+c[/tex]

If a>0 then range (c,∞)

If a<0 then range (-∞,c)

[tex]-2(6)^x+3\rightarrow ab^x+c[/tex]

[tex]a=-2[/tex]

[tex]c=3[/tex]

Range: (-∞,3)

Hence, The range of the function is (-∞,3)

45% of 40 is 18% of what number?

Answers

Answer:

45% of 40 is 18% of 100

Step-by-step explanation:

45% of 40 is 18% of what number

First we find out what is 45% of number 40

45% times 40

[tex]\frac{45}{100} * 40= 18[/tex]

Now we find

18 = 18% of what number

Let the unknown number be x

18 = 18% * x

[tex]18= \frac{18}{100} * x[/tex]

18 = 0.18 * x

Divide by 0.18 on both sides

100= x

So 45% of 40 is 18% of 100

The complete statement is 45% of 40 is 18% of 100

How to determine the number that completes the statement

From the question, we have the following parameters that can be used in our computation:

45% of 40 is 18% of what number

Represent the number with x

So, we have

45% of 40 is 18% of x

Express as an equation

45% of 40 = 18% of x

Next, we have

18 = 0.18x

Divide through by 0.18

x = 100

Hence, 45% of 40 is 18% of 100