Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.

Answers

Answer 1

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

[tex]5x-7=2z[/tex]

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]

Add 7 to both sides

[tex]5x=2x+15[/tex]

Subtract 2x from both sides

[tex]3x=15[/tex]

Divide both sides by 3

[tex]x=5[/tex]

Using these equations:

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

and

[tex]x=5[/tex]

We get:

[tex]x=5\\y=7\\z=9[/tex]


Related Questions

Where was her mistake if she made any?

Answers

I don’t think she made a mistake, I might be wrong tho

which of the following is not a possible r-value -0.3 -1.6 0.8 0.3

Answers

Answer: -1.6 is not a possible r-value.

Step-by-step explanation:

R-values range from -1 to +1. Out of all these numbers, -1.6 does not belong. Hence, -1.6 is not a r-value.

Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1, 6, 600, 1,000

Answers

Answer:

1,000

Step-by-step explanation:

The more rolls you make, the closer the experimental and theoretical probabilities get closer together

Answer:

1000

Step-by-step explanation:

What is the area of the garden in Plan B? (Type the numeric answer only).

Answers

Answer:

241.5 ft^2

Step-by-step explanation:

First, find the area of the deck. A = LW.  L = 20, W = 16.

20 x 16 = 320.

Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex].   r = 5.  

A = (pi)5^2

A = 25(pi)       pi =  3.14

A = 78.5

Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.

320 - 78.5 = 241.5

what is 9y5−4y3−8y7−5y6+3y4 written in standard form?

Answers

Answer:

-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3

Step-by-step explanation:

Please be sure to use " ^ " to indicate exponentiation.  Then,

your 9y5−4y3−8y7−5y6+3y4 becomes 9y^5 - 4y^3 - 8y^7 - 5y^6 + 3y^4.

We must now write that in descending order by powers of y:

-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100

Answers

Answer: It should be x^2 + (x-2)^2 = 100

Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.

The solution to the correct equation will be x = 8. x -2 would be 6

8^2 = 64. 6^2 = 36. 64+36 = 100.

The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Calculation of the equation:

Since

A group of students is given a 10 by 10 grid to cut into individual unit squares.

So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]

Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Learn more about an equation here: https://brainly.com/question/17069398

Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?

Answers

Answer:

(x + 3)^2 is left 3 because it becames 0 at -3

(x - 3)^2 is right 3  because it becames 0 at 3

x^2 +3 is up 3  because your just adding 3 units up

x^2 - 3 is down 3 because your just subtracting 3 units down

Step-by-step explanation:

I need help solving this asap

Answers

Answer:

the answer will be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3+4x)(3-4x)=
THIS IS SO HARD IM GOING CRAZY !!!!!!!!!!!!

Answers

Step-by-step explanation:

Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².

Answer:

9 - 16x²

Step-by-step explanation:

(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²

Rewrite the function by completing the square
f(x) = 2x^2+3x-2
f(x)= ____ (x+___)^2+____​

Answers

Answer:

Step-by-step explanation:

To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:

f(x) = 2x^2 + 3x - 2

First, we factor out the coefficient of x^2:

f(x) = 2(x^2 + (3/2)x) - 2

Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:

f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2

Simplifying the expression inside the parentheses:

f(x) = 2[(x + 3/4)^2 - 9/16] - 2

Expanding the brackets and simplifying:

f(x) = 2(x + 3/4)^2 - 17/8

Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.

Hope that helps

The parabola y=x^2 is shifted down by 3 units and to the left by 2 units.What is the equation of the new parabola?

Answers

Answer:

y=(x+2)²-3

Step-by-step explanation:

when y=x² shifted 3 units down

its eq. is y=x²-3

when it is also shifted 2 units left then its eq. is

y=(x+2)²-3

Beth traveled for 8 hours and arrived at her destination 480 miles away. How far would Beth have traveled if she had continued on her trip for 2 additional hours? Name two different rates that can used in solving this problem.

Answers

Answer:

She'd have travelled 120 extra miles, 600 miles in total.

Step-by-step explanation:

480 : 8 = 60 --> 60 miles per hour

60 x 10 = 600 --> 600 miles in 10 hours at that speed

600 - 480 = 120 --> extra miles in the extra two hours at that speed

Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?

Answers

Answer:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:

b = 2.5 r

or

b = 5r/2

Step-by-step explanation:

In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:

Proportion = 45/18 = 2.5 or 5/2

Having this, you can make the equation taking into account the proportion:

b = 2.5 r

This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:

b = 2.5 r b = 2.5 (18) b = 45

How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.

Answer:

b = 2.5 r

or

b = 5r/2

Please HELP!! will mark brainiest


Which correlation coefficient could represent the relationship in the scatterplot? A) 0.34 B) -.098 C) -1.43 D) 0.99

Answers

Answer:

B) -0.98

Step-by-step explanation:

Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.

The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.

Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.

Answer:

-0.98

Step-by-step explanation:

plz do them both since ur here now

Answers

Answer:

19 is d 26 is c 27 is b

Step-by-step explanation:

Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is the approximate measure of angle F? Use the law of sines to find the answer.

11.5°
44.4°
68.0°
81.9°

Answers

Using the sine rule:

40/sin(90) = 28/sin(x)

These are two fractions that are equal so we can cross multiply to get:

40 x sin(x) = 28 x sin(90)

Rearranging:

sin(x) = (28 x sin(90))/40

Take inverse sine to find x (the angle)

x = sin^-1(28 x sin(90))/40)

X = 44.4° to 1dp

Lmk if anything’s unclear.

Answer:

44.4

Step-by-step explanation:

right on edge

What are angles 3 and 4 called in the diagram below ?

A. vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding Angles

Please help me with this

Answers

Alternate interior angles.

Answer:

Alternate Interior Angles

If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False

Answers

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
A. It is a function because at any given time the oven was exactly one temperature.
B. It is a function because the oven temperature was the same at different times.
C. It is not a function because at any given time the oven was exactly one
temperature.
D. It is not a function because the oven temperature was the same at different
times.

Answers

Answer:

i think its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A function cannot have an x-value that produces more than y-value.

We can assume that the time is x, and the temperature is y.

At any time, you do not have more than one temperature.

Identify a 1 in this sequence 13,15,17,19

Answers

Answer:

13

Step-by-step explanation:

a₁ represents the first term in the sequence. Here the first term is 13, thus

a₁ = 13


Which algebraic expression represents the oference of 54 and a number?
2

Answers

Answer:

84

Step-by-step explanation:

What is 13/18pie in degrees

Answers

Answer:

Convert from radians to degrees using the ratio  180/π.   answer is 130°

Step-by-step explanation:

Show that (−3) × (−4) = +12 using the distributive property.

Answers

-3x-4= +12

X negative 3 and 4 then add +12 to it.

Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems

Answers

Answer:

Malik 7.6

Vivian 26.6

Step-by-step explanation:

Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:

V=3.5m where M is the number of hours Malik worked.

We know Vivian works 19 more hours than Malik and that in equation would be:

m+19 = V

So equate the two

3.5m = m+19

3.5m-m=19

2.55m=19

m=7.6

V=7.6+19 = 26.6

Find f(2) if f(x)=(x+1)^2
a. 9
b. 6
c. 5​

Answers

Answer:

a. 9

Step-by-step explanation:

If f is at 2, then you subsitute anywhere that an x is with a 2. So in this particular equation we get

f(2) = (2+1)^2

f(2) = (3)^2

f(2) = 9

the answer is A.


hope this helps!!

answer please need help and is struggling

Answers

Answer:

q < 5

Step-by-step explanation:

Since there is an open circle it means there is no equal sign

The line goes to the left so it is less then q < 5

Answer:

q<5

Step-by-step explanation:

The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.

A quadrilateral has 2 angles that measure 75 degrees each, and one angle measures 150 degrees. What is the measurement of the 4th angle?
please answer fast and stay safe

Answers

Answer:

60 degrees

Step-by-step explanation:

A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360

75+75+150+x =360

Combine like terms

300 +x = 360

Subtract 300 from each side

300+x-300= 360-300

x = 60

I need some help quick on these questions.

Answers

8 and 12
8 * 12 = 96

√96 = 4√6

20 and 6
20 * 6 = 120

√120 = 2√30

Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.

Answers

Answer:

2.5 kilograms

Step-by-step explanation:

10 rings times each weight ring(250)=2500

2500 grams to kilograms is 2.5

If two lemons cost 15 cents, how many can be bought for 60 cents?

Answers

You can buy 8 lemons by 60 cents

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

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