Answer:
2.67 is the answer
Step-by-step explanation:
use symbolab I use it all the time
The product of two consecutive positive integers is 17 more than 5 times their sum. Find the numbers
Answer:
The no. are 11 and 12
Step-by-step explanation:
n(n+1)=17+5(2n+1)
n^2 +n=17+10n+5
n^2 -9n-22
Splitting the middle term
n^2 -11n+2n -22
n(n-11)+2(n-11)
(n-11)(n+2)
As n cannot ne negative,
n=11 and 12(consecutive no.)
Mark me brainliest!!
The two of the consecutive positive integers whose product is 17 more than 5 times their sum are 11 and 12.
What are Integers?An integer is a complete number, therefore, not including the decimals and fractions. And it that can be either positive, negative, or zero.
Integer examples include -5, 1, 5, 8, 97, and 3,043.
Non-integer numbers include: -1.43, 1 3/4, 3.14, and more.
Let the first of the two consecutive integers be represented by x. Then, the other number can be written as (x+1).
Now, the product and the sum of the two numbers can be written as,
Product = x(x+1) = x² + x
Sum = x + (x+1) = 2x + 1
Further, it is given that the product of two consecutive positive integers is 17 more than 5 times their sum. Therefore, we can write,
x² + x = 17 + 5(2x + 1)
x² + x = 17 + 10x + 5
x² + x - 17 - 10x - 5 = 0
x² - 9x - 22 = 0
x² - 11x + 2x - 22 = 0
x(x - 11) + 2(x - 11) = 0
(x - 11)(x + 2) = 0
x = -2, 11
Thus, there are two numbers that can fulfil the given condition but since it is mentioned that we only need two positive consecutive integers. Therefore, the two numbers are 11 and 12.
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Does anyone know the answer?
Step-by-step explanation:
I hope you understand...
Help with number 4 please
Sin (112°)
Answer:
I think it's 0.927184
Step-by-step explanation:
Rewrite the angle as a sum or difference with its reference angle sin (180 - 68)
Simplify the expression using the general reduction formula sin (68)
Calculate the approximate value
= 0.927184
If m*n means m+7n, determine the value of 5*(1*3)
Answer:
1*3 = 1+7(3) = 22
5*22 = 5+ 7(22) = 159
159 is your answer.
hope this helps!
The value of expression 5 × ( 1 × 3 ) is, 159.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ m × n means (m + 7n).
Now, We can find the value of 5 × ( 1 × 3 ) as,
⇒ 5 × ( 1 × 3 )
⇒ 5 × (1 + 7×3)
⇒ 5 × (1 + 21)
⇒ 5 × 22
⇒ 5 + 7 × 22
⇒ 5 + 154
⇒ 159
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Will mark brainliest!
Note the rules
Q1=All positiveQ2= Sine and cosec positiveQ3=tan and cot positiveQ4=cos and sec positiveThe answer is option B
Help Please Help Its A Math Problem : Maria threw her math book off a 30 foot building. The equation of the book can be represented by the equation: h(t)= -16t^2+24t+30 where t is the time in seconds and h is the height in feet. What is the maximum height of Maria's math book?
Question options:
0.75
30
39
12
p.s I will brainlist please and thank you.
Answer:
39 feet
Step-by-step explanation:
The equation of the path of the book is an upside down parabola.
We can find the x-coordinate of the vertical axis.
The x-coordinate of the maximum point is
x = -b/2a
for a parabola written in the following form
f(x) = ax² + bx + c
We have -16t² + 24t + 30, so we have
a = -16
b = 24
c = 30
t = -b/2a = -24/(2 × (-16)) = -24/(-32) = 0.75
The maximum height occurs at time = 0.75 seconds.
Now we plug in the time into the equation to find the maximum height.
h(x) = -16t² + 24t + 30
h(0.75) = -16(0.75)² + 24(0.75) + 30
h(0.75) = -9 + 18 + 30
h(0.75) = 39
Answer: 39 feet
find the area of the composite shapes
pls help me i need it urgently!!!
Answer:
above is the solution to the question
is (ab)c = a(cb). True or False
Answer:
true
Step-by-step explanation: You are multiplying all numbers (ab)*c is basically a*b*c and a(cb) is basically a*b*c. [gimme 5-star :)]
A rope is 250 centimeters long.
You need the rope to be 112 meters long.
How many centimeters should you cut off?
Answer:100cm
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
if the train that megan is riding covers 150 miles in 3 hours, how fast is the train traveling?
Speed = Distance / time
Speed = 150 miles / 3 hours
Speed = 50 miles per hour.
What is the slope of the line passing through the points (11,-18) and (-1,-17)
Answer:1/-12=-0.08333
Step-by-step explanation:
-17- -18/-1 - 11
1/-12
hi pls help me ty in advance
A right angle = 90 degrees
A round angle = 360 degrees
1. 3 x 90 = 270 degrees
2. 4 x 90 = 360 degrees
3. 1 1/2 x 90 = 135 degrees
4. 2 1/3 x 90 = 210 degrees
5. 2/9 x 360 = 80 degrees
6. 3 3/8 x 360 = 1,215 degrees
Hello people~
Factorise : x² + 3x + 4x + 12
Answer:
(x+3)(x+4)
Step-by-step explanation:
Given:
→x² + 3x + 4x + 12
Take common from x² + 3x and 4x + 12
Now,
[tex]\hookrightarrow x(x+3)+4(x+3)\\[/tex]
Here,
(x+3) can be written as one.
Then,
[tex]\hookrightarrow (x+3)(x+4)\\[/tex]
And it is our answer.
Answer:
[tex]\displaystyle [x + 3][x + 4][/tex]
Explanation:
Find two quantities that when summed to 7, they also multiply to 12. Those will be 4 and 3. Sinse the entire expression is positive, the quantities STAY positive. Moreover, there is not much wourk to be done here BECAUSE the leading coefficient is one. This is all you can do:
[tex]\displaystyle x^2 + 7x + 12 \\ \\ \boxed{[x + 3][x + 4]}[/tex]
I am joyous to assist you at any time.
The snack stand at the local baseball field sells cherry and lemon snow cones. Yesterday, the stand sold 4 cherry snow cones for every 1 lemon snow cone sold. If there were 30 more cherry snow cones than lemon snow cones sold yesterday, how many snow cones were sold altogether?
Given:
The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.
There were 30 more cherry snow cones than lemon snow cones sold yesterday.
To find:
The number of snow cones which were sold altogether.
Solution:
Let x be the number of lemon snow cone sold.
The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.
So, number of cherry snow cone sold = 4x
There were 30 more cherry snow cones than lemon snow cones sold yesterday.
[tex]4x-x=30[/tex]
[tex]3x=30[/tex]
Divide both sides by 3.
[tex]x=\dfrac{30}{3}[/tex]
[tex]x=10[/tex]
Total number of snow cones sold is
[tex]\text{Total number of snow cones sold }=x + 4x[/tex]
[tex]\text{Total number of snow cones sold }=5x[/tex]
[tex]\text{Total number of snow cones sold }=5(10)[/tex]
[tex]\text{Total number of snow cones sold }=50[/tex]
Therefore, 50 snow cones were sold altogether.
eleven less than five times a number is 24. find the number
Answer:
7
Step-by-step explanation: please mark brainliest
(5*7)-11=24
HELLLLLLLPPPPPPPPPPPPPPPPPPPPP
WILL GIVE BRAINLIEST
Answer:
probability Han make a free throw is higher.
explanation:
Han make a free throw in basket ball: 60%Han make a 3 point shot is (0.345*100): 34.5%Therefore, we can determine, the probability Han make a free throw is higher as the percentage of probability is more. 60% > 34.5%
Lauren drew a tower using only similar quadrilaterals. Which statement about the quadrilaterals must be true?.
For Lauren's tower which he drew using only similar quadrilaterals the statement B is correct, which is the quadrilaterals are different shapes but the same size.
What is quadrilateral?Quadrilateral is the plane shape which is closed polygon having which is made by using the four sides, four angles and four vertices.
The sum of all the interior angle in a quadrilateral is equal to 360 degrees.
The two quadrilateral are said to be a similar quadrilateral when the quadrilaterals are all the same size and shape.
Here, Lauren drew a tower using only similar quadrilaterals. Let's check all the statement about the quadrilaterals given as,
The quadrilaterals have corresponding angles that are congruent.The quadrilaterals are all the same size and shape.The quadrilaterals are different shapes but the same size.The quadrilaterals have corresponding sides that are congruent.As for the similar quadrilaterals, quadrilaterals are all the same size and shape. Thus, the option B is the correct option.
Hence, for the Lauren's tower which he drew using only similar quadrilaterals the statement B is correct, which is the quadrilaterals are different shapes but the same size.
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which is the graph of the function Y=2tan(x+3x/4)
Answer:
I dont know ur specific question but this is what I got
Answer:
D
Step-by-step explanation:
D on edge
Enola gave out a survey to some students in her school about their favorite color. Students could choose between blue and purple. 371 of those surveyed said their favorite color was blue. 47% of the students surveyed said their favorite color was purple. How many students were surveyed in total?
Using proportions, it is found that 700 students were surveyed in total.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, we have that 100 - 47 = 53% of the total number of students had blue as their favorite color, and this amount is of 371, hence:
0.53n = 371
n = 371/0.53
n = 700.
700 students were surveyed in total.
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Answer:
700
Step-by-step explanation:
PLS HELP PLS PLS PLS
Answer:
Step-by-step explanation:
( x + 25 )° + ( 5x + 10 )° = ( 15x - 10 )°
6x + 35 = 15x - 10
9x = 45
x = 5
hello people ~
factorise: 21x² - 55x + 14
Use mid term splitation
[tex]\\ \rm\rightarrowtail 21x^2-55x+14[/tex]
[tex]\\ \rm\rightarrowtail 21x^2-49x-6x+14[/tex]
[tex]\\ \rm\rightarrowtail 7x(3x-7)-2(3x-7)[/tex]
[tex]\\ \rm\rightarrowtail (7x-2)(3x-7)[/tex]
Done!
Answer:
Step-by-step explanation:
Note the x^2 term, 21 can be divided up into 1,3,7,21
and the constant term, 14 is divisible by 1,2,7
Also, note that -55 = -7*7 - 2*3
Break up 21x^2 into 7x*3x and -55x into -49x - 6x,
21x^2 - 55x + 14
= ((7x*3x) - 49x) - 6x + 14
= 7x*(3x - 7) - 2*(3x -7)
= (7x - 2)*(3x - 7)
What are angle 4 and 7 classified it is 180 degree angle
This figure has two intersecting lines and a ray. What is the value of x?
37°
108°
72°
19°
Answer:
The value of x is D. 37°
Step-by-step explanation:
No need for math on this one, the angle next to x is 71° and is significantly bigger, so the only answer could be 37°.
The value of x will be 37°.
What is Vertically opposite angles?
Vertically Opposite Angles are the angles opposite each other when two lines cross.
Given that;
This figure has two intersecting lines and a ray.
Now, By the definition of vertically opposite angles, we get;
x° + 71° = 108°
Then, Solve for x as;
x° + 71° = 108°
Subtract 71 both side;
x° + 71° - 71° = 108° - 71°
x° = 37°
Thus, The value of x will be 37°.
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For the graph of the equation you wrote in item 3, what does the y-intercept represent?
Answer:
the y intercept represents the point on the y axis in which the line crosses on a graph.
Rodrigo needs a total of 3 pounds of vegetables for a stew. He already has 38 pound of onions and 13 pound of tomatoes. How many more pounds of vegetables does he need to buy?
Answer:
m needs 3 pounds of vegetables for a vegetable soup recipe. He already has 2/3 pound of carrots and 1/4 pound of celery.
Step-by-step explanation:
-9, -4,1, 6, 11,...;a;= ?
Identify the common difference
HURRY PLZ‼️ THIS IS URGENT
Answer:
a=5
Step-by-step explanation:
You are adding 5 each time so a would be 5
Simplify the expression completely:
3(1+2(8-5))-(1+1)^2
Answer: 17
Step-by-step explanation:
PEMDAS or wutever your teacher taught u
3(1+2(8-5))-(1+1)^2
Solve from the most inner parenthesis
8 - 5 = 3
3 x 2 = 6
6 + 1 = 7
7 x 3 = 21
Next solve the other part
1+1 = 2
2^2 = 4
Now put these two together
21-4 = 17
Answer:
8
Step-by-step explanation:
Using PEMDAS to solve
Parentesis
Exponents
Multiplication
Division
Addition
Subtraction
:) hoped it helped
What is, 788 divide 99 =???
We can't use calculators, and I'm confused-
Answer:
7 R 95
for this case, how many times does 99 go into 788? 0, because you must convert 78 to the tens place.
78 - 0 = 78
Drop the 8 from the zeros place.
How many times does 99 go into 788? 7(693)
788 - 693 = 95
▬▬In The End▬▬
The answer is 7, because that is the number on top, the result of the division is called the remainder.
One ninth of the height of an iceberg was above the surface of the water. The iceberg
extended to a depth of 75.8 m below the surface. What was the height of the iceberg above surface? Express your answer to nearest tenth of a meter.
With solution please and thank you!
Which letters in the word "GEOMETRY" have exactly one line of symmetry?
GEOMETRY
letters :- EMTY
There r only 4 letters in geometry which have one line of symmetry