The sum of two consecutive odd integers is 96. what is the product of these integers?

Answers

Answer 1

Answer:

47 and 49

Step-by-step explanation:

Answer 2

Answer:

2303

Step-by-step explanation:

Let the smaller of the two odd integers be x.

Then the next odd integer is x + 2.

Since the sum of these 2 integers is 96, we may write x + (x + 2) = 96

Now solving for x we obtain:

2x = 94

x = 47

To find the next value we can subtract 47 from 96, which is 49.

Hence, the required two integers are 47 and 49. Multiplying them, we get a product of 2303.

hope this helps!


Related Questions

Spring 22
What is the total weight of 12 basketballs that weigh 20 ounces each?
The total weight of the basketball is ?

Answers

Answer:

240

Step-by-step explanation:

The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)

Answer:

1 ounce =28grams

Step-by-step explanation:

if 1 ounce=28grams

20ounce=20ounces x 28 grams

=560g

one ball weighs 560grams

Y=-3×-2 graph can someone please help me with this please

Answers

Answer:

6

Step-by-step explanation:

Negative ×negative always gives gives a positive

what digit 5 sits in this number 725,069​

Answers

Answer:

The digit 5 is equal to is 5,000 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The thousandth digit!

Step-by-step explanation:

A can in the shape of a cylinder is filled 75% of the way with liquid. The can has a height of 10 cm and a radius of 2 cm. Please determine following:

Answers

Answer:

um..is this finished question ????

If an arithmetic sequence has a4 = 107 and a8 = 191, what is a₁?
PLEASE HELP ME​

Answers

[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]

3.2] I can rearrange formulas to solve for a specified variable.

Solve for r.
h=r-m

Answers

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

Need Answer Please And thank you

Answers

Answer:

157.78

Step-by-step explanation:

Area of a trapezoid = ( sum of base lengths / 2 ) × height

the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m

the height is 9.8m

so area = (( 8.7 + 23.5 ) / 2) × 9.8

==> add 8.7 and 23.5

area = (32.2 / 2) × 9.8

==> divide 32.2 by 2

area = 16.1 × 9.8

==> multiply 16.1 and 9.8

area = 157.78

what is the median of 7,3,4,7,5,6,5,5,4​

Answers

Your median is 5 because that is the number that is mentioned the most.

A median is a number that i said the most.

And in the pic your median is 7.

Hope this helps you :0

Which is zero of the polynomial expression 7x+21

Answers

The expression will have a zero when it’s equation is equal to zero:

7x+21=0

Now solve for x, start by isolating the variable (x) by subtracting 21 from both sides

7x = -21

The only thing stopping c from being by itself is 7, so we divide both sides by 7 to isolate x

x = -3

Consider the equation v+4+v=8. What is the resulting equation after the first step in the solution?
0v+4=8-v
Ov+4=8
04+v=8-v
O2v + 4 = 8

Answers

The last option is correct

You must combine like terms v + v = 2v

Therefore, the answer is 2v+4=8

The resulting equation after the first step in the solution is:

2v + 4 = 8.

What is Equation?

An equation is a mathematical statement that asserts the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.

we have the Equation v + 4 + v  =8

Now, simplifying we get

2v + 4= 8

2v = 4

v =2

To obtain this equation, we combined the like terms "v" on the left side of the equation, which gives us 2v. The rest of the equation remains unchanged.

Therefore, the correct answer is : 2v + 4 = 8.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ7

OLZ HELP ILL MARK AS BRAINLEST​

Answers

Answer:

-2

Step-by-step explanation:

The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.

Answer:

Hi I’m the friend

Step-by-step explanation:

by the way I also need brainliest, so you get to choose who to mark as brainliest

Refer to attachment for question

Answers

Answer:

Below!

Step-by-step explanation:

Let the irrational number be known as "x".

[tex]\implies -\sqrt{41} \times x = 1[/tex]

Divide both sides by -√41.

[tex]\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }[/tex]

[tex]\implies x = \dfrac{1}{-\sqrt{41} }[/tex]

Take the "-" to the numerator:

[tex]\implies x = \dfrac{-1}{\sqrt{41} }[/tex]

Use parenthesis to isolate the "-"

[tex]\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}[/tex]

Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)

[tex]\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}[/tex]

Combine the roots in the equation:

[tex]\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}[/tex]

Remove the parenthesis:

[tex]\implies {x = -\sqrt{\dfrac{1}{41} }}[/tex]

Thus, Option C is correct.

What type of function is shown below?
y=6/19x

Answers

Answer:

That is a linear function

Step-by-step explanation:

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

If you try to graph that function on a graphing calculator, you will get a straight line.

Therefore, it is a linear function.

mark brainliest please!

Answer:

I think it's a linear one(function)

y=6x÷19

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

h2 + 26h +

Answers

Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.

What is the standard format of a perfect-square binomial sum?

It is represented by:

(a + b)² = a² + 2ab + b².

In this problem, we have that the expression is:

a² + 2ab + b² = h² + 26 + b².

Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:

b² = 13² = 169.

More can be learned about perfect-squares at https://brainly.com/question/13136492

Solve the system using elimination.
4X +5Y = 22
X +3Y =0

Answers

Answer:  

x = 3

y = -2

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

4x + 5y = 2........i

2x + 3y = 0........ii

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

Let's start by eliminating x, so we multiply i by 2 and ii by 4

2|4x + 5y = 2

4|2x + 3y = 0

So that we have

8x + 10y = 4..........iii

8x + 12y = 0..........iv

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

Subtracting iv from III, we have

-2y = 4

y = 4/-2

y = -2

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

Going ahead and substituting this value of y in eqn i, we have

4x + 5(-2) = 2

4x - 10 = 2

4x = 2 + 10

4x = 12

x = 12/4

x = 3

Step-by-step explanation: hope this helps, brainliest please <3

If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x /2 ) = ? cos ( x /2 ) = ? tan ( x/ 2 ) = ?

Answers

Answer:

see below

Step-by-step explanation:

cscx=4

sinx=1/4

cosx=-√(1-sin^2x)=-√(1-(1/16))=-√(15/16)=-√15/4

note: cos<0,sin>0 in quadrant II

sin(x/2)= [tex]\sqrt{\frac{1+cos(x)}{2} } =\sqrt\frac{1+\sqrt{\frac{15}{4} } }{2} =\sqrt{\frac{4+\sqrt{15} }{8} }[/tex]

cos(x/2)= [tex]\sqrt{\frac{1-cos(x)}{2} } =\sqrt{\frac{1-\sqrt{\frac{15}{4} } }{2} } =\sqrt{\frac{4-\sqrt{15} }{8} }[/tex]

tan(x/2)= [tex]\frac{sin(x)}{1-cos(x)} =\frac{\frac{1}{4} }{(1-\frac{\sqrt{15} }{4} )} =\frac{\frac{1}{4} }{\frac{4-\sqrt{15} }{4} } =\frac{1}{4-\sqrt{15} }[/tex]

Calculator check:

[tex]sinx=\frac{1}{4}[/tex]

[tex]x\neq 165.52[/tex]˚ in quadrant II

[tex]\frac{x}{2} \neq 82.76[/tex] ˚

sin(x/2)≈sin(82.76)≈0.9920..

exact value=√(4+√15)/8≈0.9920..

..

cos(x/2)≈cos(82.76)≈0.1260..

exact value=√(4-√15)/8≈0.1260..

..

tan(x/2)=tan(82.76)≈7.872..

exact value=1/(4-√15)≈7.872..

Please help now, I will give Brainliest!!! :D


Peter is 19 years old. He lives at home with his parents and goes to college part time. He recently started working as a server, working 40 hours per week.

Where Peter lives, the minimum wage for tipped and non tipped employees is $7.25 per hour.

In the average week, he serves 90 tables whose typical bill is $21 with an average tip of 15%.



How much money does he make in a typical week??

Answers

Answer:

$573.50 per week

Step-by-step explanation:

wages =  40 hr/wk * 7.25 $/hr   $290 per week

tips   90 tables * ( 21*.15) = 283.50

total    290 + 283.5 = 573.50  

Forces with magnitudes of 2000 newtons and 900 newtons act on a machine part at angles of +45degrees and -60degrees respectively, with the right side of the x-axis. Find the direction and magnitude of the resultant of these forces.

Answers

Answer:

First,you need to find the components of each force.

solve these quetions......

Answers

Step-by-step explanation:

a.) 9

When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.

So if you flip

[tex]\frac{1}{9} [/tex]

It would be:

[tex] \frac{9}{1} [/tex]

9/1 is the same as 9 so:

1 times 9 = 9

b.) 15

Same thing like we did above, just do the reciprocal the multiply.

[tex] \frac{1}{5} [/tex]

Becomes

[tex] \frac{5}{1} [/tex]

5/1 is the same as 5.

3 times 5 = 15

-10x19=2x2 please do explanation

Answers

Answer:

x=0 or x=−95

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−190x=2x²

Step 2: Subtract 2x² from both sides.

−190x−2x²=2x²−2x²

−2x²−190x=0

Step 3: Factor left side of equation.

(−2x)(x+95)=0

Step 4: Set factors equal to 0.

−2x=0 or x+95=0

x=0 or x=−95

[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]

A sequence can be generated by using
an=an-1-5 where
a1 = 100 and n is a whole number greater
than 1.
(a) What are the first five terms in the sequence?
(b) Write an iterative rule for the sequence. Show your work

Answers

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

Iterative rule for a sequence

Sequences are set of values arranged in a particular order. Given the recursive formula for a sequence expressed as;

an=an-1-5

If the first term a1 = 100, then;

a2 = a1 - 5
a2 = 100 - 5
a2 = 95

For the third term

a3= a2 - 5
a3= 95 - 5
a3 = 90

The other two terms will be 85 and 80

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

Learn more on sequence here: https://brainly.com/question/6561461

p^2 + 3p - 18 is divided by p - 3.

Answers

Answer:

p + 6

Step-by-step explanation attached as image.

Anybody know the slope of the line is … Help

Answers

Answer: The slope is -1

Step-by-step explanation:  

When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.

Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines.  For this problem lets go with the first point at (0,1) and the second point at (1,0).

Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component).  Point 1 has a y-component of 1 and point 2 has a y-component of 0.

1 - 0 = 1 = rise

Point 1 has an x-component of 0 and point 2 has an x-component of 1.

0 - 1 = -1 = run

rise/run = 1/-1

Slope = -1

solve the following inequality
4x+15≥x+6

Answers

Answer:

[tex]\boxed{\sf{x\geq -3}}[/tex]

Step-by-step explanation:

The following inequality can be solved by separating the term x from one side.

4x+15≥x+6

First, subtract by 15 from both sides.

4x+15-15≥x+6-15

Solve.

4x≥x-9

Then, you subtract by x from both sides.

4x-x≥x-9-x

Solve.

3x≥-9

Divide by 3 from both sides.

3x/3≥-9/3

Solve.

Divide the numbers from left to right.

-9/3=-3

[tex]\Longrightarrow: \boxed{\sf{x\geq -3}}[/tex]

Therefore, the correct answer is x≥-3.

I hope this helps, let me know if you have any questions.

Answer:

x ≥ -3

Step-by-step explanation:

To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.

Given inequality:

4x + 15 ≥ x + 6

As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.

⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15⇒ 3x ≥ -9

As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.

⇒ 3x/3 ≥ -9/3⇒ x ≥ -3

Therefore, the solution is x ≥ -3.

friends needs this anwsered help

Answers

Answer:

  3, 8, 14, 30, 58

Step-by-step explanation:

As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.

  [tex]a_1=3\qquad\text{given}\\\\a_2=8\qquad\text{given}\\\\a_3=2a_1+a_2=2(3)+8=14\\\\a_4=2a_2+a_3=2(8)+14=30\\\\a_5=2a_3+a_4=2(14)+30=58[/tex]

The first 5 terms of the sequence are 3, 8, 14, 30, 58.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

here

Step-by-step explanation:

if you need more explanation comment on this

4) What is the measure of angle MLO?
(Equilateral Triangle)

Answers

Answer:

m<MLO = 120°

Step-by-step explanation:

Equilateral Triangles have all 60° angles.

m<MLN = m<OLN = 60°

60°+60°=120°

5 - x divided by 3/4 x = 1/3

Answers

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

n -1 1/2 for n= 1 1/7 cant figure this out

Answers

Answer:-5/14

Step-by-step explanation:

make then equal and insert N, 16/14-21/14=-5/14

Sanjay is planting a rectangular garden. He wants the length of his garden to be 12 feet. He wants the area to be at least 60 square feet. Which graph best shows all the possible widths, in feet, for his garden?

Answers

Answer:

The  answer is b

Step-by-step explanation:

Answer: B

I had to help my brother with this

Other Questions
What is the main idea?Younger people like to give experiences while older people prefer to purchase things.Honeymoon Funds are an alternative to traditional gift registries that most people think are smart and thoughtful, but a few feel are tacky.The wedding industry has come up with a new way to convince people to spend a lot of money on weddings. Experiences make the best gifts. 11. Marcus is writing a song that uses sonata form. What should he use for the FIRST part of his composition?expositiondevelopmentrecapitulationcoda A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for and round to the nearest hundredth. negative 4 minus 6 is less than 50 Consider the entropy change in the following chemical or physical processes:1.2 Na(s) + Cl(g) 2 NaCl(s)2. N(g) + 3 H(g) 2 NH3(g)3. HO(s) HO(l)4. C10H22(1) C10H22(S)5.2 Mg(s) + O(g) 2 MgO(s)In which of these processes is entropy increased? At 6 o'clock in the morning thetemperaturewas -5C. By 4 o'clock inthe afternoon, the temperature was16C.1. What was the change intemperature? Translate the sentence into an equation.Two less than the product of 3 and a number equals 7.Use the variable w for the unknown number. Theme: Society and culture often pressurewomen to fit a certain image or fill a specific role.Given that music makes Edna envision a birdflying away, what can readers predict Edna willdo? Check the two best choices.free herself from the roles of wife and motherleave her husband and children temporarilybecome increasingly independentfulfill her dream of being a concert pianist EDGE Mina observed the flowers of a plant called a moon flower. These plants have flowers that open and close. She wrote what she saw in a table. Using the information in the chart, what makes the flowers open and close?A) gravity B) heat Eliminate C) light D) water The graph shows the distribution of times (in hours) that teenagers spend playing video games per week. The distribution is approximately Normal, with a mean of 14 hours and a standard deviation of 4 hours. What percentage of times are between 6 and 22 hours?16%68%95%99.7% If the MPC is 0.80 and disposable income increases from 32,000 billion to $37,000 billion, then consumption will increase by: A. $1,000 billion. B. $29,600 billion. C. $5,000 billion. D. $4,000 billion. To organize ideas, a writer can utilize a ________________.A text structureB formatting structureC contextD historical contextE thematic structure Read the following sentence."She suggested that I review the chapter again before taking the final exam."Use this dictionary entry to answer the question.re- (prefix): again or backWhat is the meaning of the word review?O to view differentlyO to view againO to view slowlyO ________ is/are typically used to energize, direct, or control employee behavior. Select one: a. Social structure b. Payouts c. Pay plans d. Corporate values e. Employee orientation\ If tan x = 1/2 , find sin xThe values of x are in between 0 and 2 A company selling products online held a survey asking a group of people about the number of products they ordered online in a month. The table below shows the results of the survey.Products OrderedNumber of Products Number of People0 41 62 33 44 5Number of Products Number of People5 36 37 28 29 1Which dot plot best displays the data in the table? Two unlike charges placed near each other In 1848, rioting in Berlin forced the Prussian king to do what? Give suffrage to the people Unite with Napoleon to form a united Europe Promise to write a new constitution Allow a new king to be named Escribe que funcin del lenguaje predomina en esta oracin: Las nubes, cual copos de algodn, esponjosos flotan en el azul del permanentes. How many unique c13 nmr signals exist in the spectrum for the compound?.