Three consecutive odd integers have a sum of 33 . find the integers.

Answers

Answer 1

9 + 11 + 13 = 33
9, 11, and 13 are all odd integers and are consecutive. When added, they total to give you 13

Related Questions

chelsea is 4 years older than her brother. translate the verbal description into an equation. use the verbibale c to represent chelsea age and b to represent her brothers age

Answers

You can show it a one of two was: b+4=c or c-4=b.

=4

A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer will be the first to receive both gift cards?After this customer receives both gift cards, what is the total amount in gift cards that the store has given away?

Answers

To find the answer you need to find the common factor of numbers 25 and 60

25,50,75,100,125,150,175,200,225,250,275,300

60,120,180,240,300

The 300th customer will receive both cards, and a total of $220 and 17 gift cards were given away.

Which are the solutions of x2 = –13x – 4? 0, 13 0, –13

Answers

It's defiantly not C. I made a 90% but missed this question. I hope this helps you cross it down. My next guess would be D.

Answer:

Option 3 and 4 - 0,-13

Step-by-step explanation:

Given : Expression [tex]x^2=-13x-4[/tex]

To find : What are the solutions?

Solution :

The quadratic formula of the quadratic equation [tex]ax^2+bx+c=0[/tex] is

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Comparing with general equation, [tex]x^2+13x+4=0[/tex]

where, a=1 ,b=13, c=4

Substitute in the formula,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}[/tex]

[tex]x=\frac{-13\pm\sqrt{169-16}}{2}[/tex]

[tex]x=\frac{-13\pm\sqrt{153}}{2}[/tex]

[tex]x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}[/tex]

The value of x is [tex]x=-0.315,-12.68[/tex]

Approximately the solution of the expression is x=0,-13.

Make t the subject of the formula 2(t-5) = y

Answers

2(t-5) = y
t - 5 = y/2
t = y/2 + 5

t = ( y+10)/2
anything else?

what is the coefficient in the expression x / 3 + 7

Answers

1/3 is the coefficient. It's the number that is being multiplied with the variable.

Answer:

The coefficient of x is [tex]\frac{1}{3}[/tex]

7 is a constant

Step-by-step explanation:

[tex]\frac{x}{3} +7[/tex]

We need to find the coefficient of each term in the given expression

x/3 can be written as 1/3 times x

The coefficient is the number with the variable x

The coefficient of x is [tex]\frac{1}{3}[/tex]

7 is a constant

Katlin divided a fraction by 1/2 the result was a mixed number. was the fraction less than or greater than 1/2? EXPLAIN.

Answers

The fraction was greater than 1/2.

When you divide by a fraction, it is equal to multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2. Therefore, dividing by 1/2 equals the same thing as when you multiply by 2.

A mixed number has a whole number and a fraction added together. So, the mixed number must be greater than 1.

1/2 is equal to 0.5, and 0.5 multiplied by 2 equals 1. A fraction less than 1/2 multiplied by 2 would equal a number less than 1, while a fraction greater than 1/2 would equal a number greater than 1.

Because a mixed number must be greater than 1, and a fraction greater than 1/2 multiplied by 2 would be greater than 1, the fraction that resulted in a mixed number after being multiplied by 2 must have been greater than 1/2.

Solve for x: 14 = 0.1x 14 140 1.4 .14

Answers

The answer 0.14 is equivalent to 140%. You can check this answer by moving the decimal 3 places to the right.

Final answer:

The value of x that satisfies the equation 14 = 0.1x is 140.

Explanation:

To solve the equation 14 = 0.1x, we can start by dividing both sides of the equation by 0.1 to isolate x. This gives us 14/0.1 = x, which simplifies to 140 = x. So, the value of x that satisfies the equation is 140.

When washing your hands, the correct amount of time to scrub your hands is approximately: select one:
a. 30 seconds.
b. 5 seconds.
c. 10-15 seconds.
d. 1 minute?

Answers

Most research claim at least 20 seconds, therefore 5 sec and 10-15 seconds are too less. 30 seconds seems to be the most fitting answer.

Hope I helped :)

Wendi worked for $6 an hour for the first month she was on the job. She was then given a raise to $6.24 an hour. What was the percent of her wage increase?

Answers

well 6.24 divided by 6 is 1.04. Her percent of wage increase is 4%
I hope I helped..

Factor the expression. X^4+6x^2-7 completely. Show work!

Answers

Hi there!

Let's let y = x^2
Substitute y into the equation
y^2 + 6y - 7
Now, we need two factors of -7 that add up to 6
-1 and 7 should work
Now, factor
(y - 1)(y + 7)
Substitute y=x^2 back into the equation
(x^2 - 1)(x^2 + 7)

Edit: Garydesir1 made an important note. (x^2 - 1) can be factorized into (x+1)(x-1)
Your full factorization is (x-1)(x+1)(x^2 + 7)

Have an awesome day! :)

Hello there!

The answer is: (x + 1)(x -1)(x² + 7)

----------------------------------------------------

Well, I am not sure how to explain this. But what you need to realize is that you have x^4. It means that you gonna need two x in the left and one x^2 on the right side.

I hope this help!

A salad recipe calls for 1 3/4 cups of chopped tomatoes. The recipe calls for 4 1/7 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?

4 1/7 cups
4 3/28 cups
7 1/4 cups
7 1/7 cups

Answers

Hello! To find the amount of lettuce needed for the recipe, all you have to do is multiply 1 3/4 by 4 1/7. It would be best to change the numbers into improper fractions. 1 3/4 is 7/4 and 4 1/7 is 29/7. 7/4 * 29/7 is 203/28 or 7 1/4 in simplest form. You need 7 1/4 cups of lettuce for the salad recipe. The answer is C.

–2x + 3y = 21

3x – 2y = 21

–2x – 3y = 21

–2x + 3y = 7

Answers

-2x+3y=7 points please...

Answer:

Step-by-step explanation:

-2x+3y=7.I just took the test.

Irvan bought a drink for $1.90, a sandwich for $ 2.25, and an apple for $.75. What is the total amount of money he spent

Answers

Simply add all the prices together to find the answer.
1.90+.75++2.25=4.90

what is 31590 rounded to the nearest thousand

Answers

31,590 rounded to the nearest thousandth would be 32000

31590=32000 this is the answer

Find the value of x in the triangle shown below
How do I do this?

Answers

A triangle must add up to 180 degrees

180-85-67=28.........

Which type of light is most likely to cause burns?why?

Answers

ultraviolet light because of the radiation

I would say ultra violet. Ultraviolet light is the light from the sun. It can cause burns, increase risk of skin cancer, and... not to gross u out... weld contacts to people's eyes... among other things. (ultra-violent light if u ask me)

Carrie made a square tablecloth with an area of 169 square inches. What was the length of each side of the tablecloth?
Plz hurry

Answers

well I figured it out and I came up with 13 square inches. you can find this out by doing the square root of 169. I hope this help :).

Final answer:

The length of each side of the tablecloth is 13 inches.

Explanation:

To find the length of each side of the tablecloth, we need to take the square root of the area. Since the area is given as 169 square inches, we can take the square root of 169. The square root of 169 is 13, so each side of the tablecloth is 13 inches long.

The opening balance of one of the 31-day billing cycles for Lorenzo's credit card was $4100, but after 15 days Lorenzo made a payment of $2300 to decrease his balance, and it stayed the same for the remainder of the billing cycle. If his credit card's APR is 24%, how much more in interest would he pay for the billing cycle with the previous balance method than with the adjusted balance method? A.$83.57
B.$46.88
C.$36.69
D.$120.26

Answers

Given:
31 days = 7,400
15 days = payment of 4,900
16 days = 7,400 - 4,900 = 2,500

Method 1:
7,400 * 22% * 31/365 = 138.27

Method 2: adjusted balance
7,400 * 22% * 15/365 = 66.90
2,500 * 22% * 16/365 = 24.11
66.90 + 24.11 = 90.21

138.27 - 90.21 = 48.06

She would pay 48.06 more with the previous balance method than with the adjusted balance method.

Solution:

Adjusted Balance method

Amount in Lorenzo credit card in the beginning of month= $ 4100

Payment made = $ 2300

Amount in Lorenzo credit card after 15 days = $ 4100 -$ 2300= $ 1800

APR= 24 %

Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%

2.03% of 1800=$ 36.54

Previous Balance method:

Amount possessed at the beginning of the month= $ 4100

APR= 24 %

Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%

2.038% of 4100=$ 83.23

The interest that Lorenzo would pay for the billing cycle with the previous balance method than with the adjusted balance method

= $ 83.23 - $ 36.54

= $ 46.69→→ option (B)

Rhea is a freelance writer. She works for multiple clients and has several sources of income. Some of her clients pay her more than $600 for her work. These clients always send a specific form to her where she has to report her gross payments. What form do you think the clients are sending to Rhea?

Answers

a 1099 form is used to report income

they are sending her a 1099 form

.The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink? Answer:

Answers

The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink?
C = 100*(55,317,240 - 53,594,378) / 53,594,378 = 3.2%. This is positive, so the population grew

Determine which equations below, when combined with the equation 3x minus 4y equals 2, will form a system with no solutions. choose all that apply.

Answers

The two equations would yield no solution if they are dependent. That means that both equations are equivalent. You can determine this by manipulating the equations through simplification. For example, a dependent equation would be:

3x - 4y = 2
3x/2 - 2y = 1

Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6

Find the inverse function for

$\large\bf{f(x)= \sqrt{2x-6}}$

I found that it was

$\large\bf{\color{Red}{y=\frac{1}{2}x^{2} + 3}}$

but I am to restrict the function would it be $\bf{x \ge 0}$?

Answers

[tex]\bf \stackrel{f(x)}{y}=\sqrt{2x-6}\qquad \qquad \stackrel{f^{-1}(x)}{y}=\cfrac{x^2+6}{2}[/tex]

that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.

now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse. Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

Explain how proving two triangles congruent can help prove parts of the triangle congruent.

Answers

You can use the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) property. This means that when two triangles are congruent, all the corresponding parts are congruent to each other.

Have an awesome day! :)

If two triangles are congruent, then everything in the triangle be congruent. If one triangle has an angle of 50, how can the other triangle not have an angle of 50 and not be conguent. Thus if every part of a triangle is congruent, the every individual part is also congruent

Simplify
2x x y x 3

Answers

which is it
2x times y times 3 = 6xy
or,
2xxyx3= 6x^3y

Final answer:

To simplify 2x * y * 3, multiply the coefficients (2 and 3) and the variables (x and y) separately, resulting in the simplified expression 6xy.

Explanation:

To simplify the expression 2x * y * 3, we can multiply the coefficients and the variables separately. The coefficients are 2 and 3, so their product is 2 * 3 = 6. The variables are x and y, so their product is xy. Putting it all together, the simplified expression is 6xy.

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The area of circle z is 64 pi ft^2
What is the value of r?

Answers

To find area of a circle, one must perform the equation "pi(r)^2" we have all information but the radius which has become inclusive in the question. To draw out the radius, all you gotta do is defuse 64 into its square root-8. The radius is 8.

we know that

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

where

r is the radius of the circle

In this problem we have

[tex]A=64\pi \ ft^{2}[/tex]

substitute in the formula and solve for r

[tex]64\pi=\pi r^{2}[/tex]

Simplify

[tex]64=r^{2}[/tex]

Square root both sides

[tex]r=8\ ft[/tex]

therefore

the answer is

The value of r is [tex]8\ ft[/tex]

what translation rule can be used to describe the result of the composition of (x,y) --> (x - 9,y - 2) and (x,y) --> (x + 1, y - 2) ? PLEASE HELPPPPP!!!!!

Answers

we know that

the rule of the translation A is

[tex](x,y)-----> (x-9,y-2)[/tex]

that means

the translation is [tex]9[/tex] units to the left and [tex]2[/tex] units down

the rule of the translation B is

[tex](x,y)-----> (x+1,y-2)[/tex]

that means

the translation is [tex]1[/tex] unit to the right and [tex]2[/tex] units down

therefore

the rule of the composition A+B is

[tex](x,y)-----> (x-9+1,y-2-2)[/tex]

[tex](x,y)-----> (x-8,y-4)[/tex]

that means

the translation is [tex]8[/tex] units to the left and [tex]4[/tex] units down

the answer is

[tex](x,y)-----> (x-8,y-4)[/tex]

Final answer:

The translation rule that describes the result of the composition of the transformations (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2) is (x, y) --> (x - 8, y - 4). This rule is obtained by sequentially applying each transformation to (x, y).

Explanation:

When we talk about compositions of translations in geometry, what we are doing is carrying out one translation after the other. So, if we have two translations: (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2), we perform these operations sequentially.

First, we apply the transformation (x,y) --> (x - 9, y - 2). Then we take these new coordinates and apply the second transformation (x,y) --> (x + 1, y - 2). The result of this composition is (x - 9 + 1, y - 2 - 2) = (x - 8, y - 4), as you add (or subtract) the changes introduced by each translation.

So, the translation rule that can be used to describe the result of the composition of these transformations is: (x, y) --> (x - 8, y - 4).

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What is the missing polynomial? ? – (20 – 4x – 5x2) = 20 – 7x2 A. 4x-12x^2 B. 4x-2x^2 C. 40-4x-12x^2 D. 40-4x-2x^2

Answers

The correct answer is C

Find the missing side length.

Answers

a² + b² = c²

(√3)² + b² = 5²

3 + b² = 25

b ² = 22

b = √22

hope this helps

Decide if the following is a properly formed syllogism.

If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Therefore, if it is sweet, then you’re drinking tea.

a. This is not a syllogism.

b. This is a syllogism.

Answers

Your answer is A. This is not a syllogism

Hope this helps!
Have a Nice Night!
-Nana

The following is not a properly formed syllogism.

Option A is the answer.

What is a syllogism?

A syllogism is a form of argument where the conclusion follows from the truth of two or more given statements.

We have,

Statements:

If you drink tea, you always add sugar.

If sugar is added, then the tea is sweeter.

Conclusion:

If it is sweet, then you’re drinking tea.

This is not a conclusion from the truth of the given statements.

There is nowhere mention of tea in the statements.

Thus,

It is not a properly formed syllogism.

Learn more about syllogism here:

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Add.
(2x + 5) + (3x - 7)
A) x - 2
B) x + 2
C) 5x - 2
D) 5x + 2

Answers

5x - 2. Just combine like terms, and distribute the + to the second term.

Answer:

C) 5x - 2

Step-by-step explanation:

When parentheses are preceded by a + sign, they may be immediately removed. Two additions and one subtraction are called for here: 2x + 5 + 3x - 7. This is 5x - 2.

(2x + 5) + (3x - 7)

2x + 5 + 3x - 7

2x + 3x - 7 + 5

5x - 2.

Hope this helps!!!

Other Questions

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