Answer:
199
Step-by-step explanation:
49 + 64 + 81 - 36 +25+16
194 - 36 +25 + 16
-36 + 25 + 16
= -11 + 16 = 5
194 + 5 = 199
Christy is 3 years older than Jamie. The sum of their ages is 23. How old is Jackie?
Explain pls
christy is 13 and jamie is 10
A group of people went to a coffee shop.
Each person chose a drink and a treat.
number of people who chose coffee: number of people who chose tea = 1:4
Of those who chose coffee,
number of people who chose a muffin number of people who chose a tart = 2:7
Of those who chose tea,
number of people who chose a muffin : number of people who chose a tart = 5:1
What fraction of the people chose a tart?
Answer:
Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
Step-by-step explanation:
Given - A group of people went to a coffee shop. Each person chose a
drink and a treat. number of people who chose coffee: number of
people who chose tea = 1:4. Of those who chose coffee, number of
people who chose a muffin number of people who chose a tart =
2:7. Of those who chose tea, number of people who chose a muffin
: number of people who chose a tart = 5:1.
To find - What fraction of the people chose a tart?
Proof -
Let the Total number of People went to a coffee shop = 5x
Now,
As given, number of people who chose coffee: number of people who chose tea = 1:4
⇒Total number of people who chooses coffee = [tex]\frac{1}{5}.5x[/tex] = x
Total number of people who chooses tea = [tex]\frac{4}{5}.5x[/tex] = 4x
Now,
As given,
Of those who choose coffee, number of people who chose a muffin number of people who chose a tart = 2:7
⇒Total number of people who choose muffin after coffee = [tex]\frac{2}{9}x[/tex]
Total number of people who choose tart after coffee = [tex]\frac{7}{9}x[/tex]
Also,
Given that
Of those who chose tea, number of people who chose a muffin : number of people who chose a tart = 5:1
⇒Total number of people who choose muffin after tea = [tex]\frac{5}{6}.4x = \frac{20}{6}x[/tex]
Total number of people who choose tart after tea = [tex]\frac{1}{6}.4x = \frac{4}{6}x[/tex]
∴ we get
Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea
⇒Total number of people who chooses tart = [tex]\frac{7}{9}x[/tex] + [tex]\frac{4}{6}x[/tex]
= [tex]\frac{7}{9}x + \frac{2}{3}x[/tex]
= [tex]\frac{7x + 6x}{9}[/tex]
= [tex]\frac{13}{9}x[/tex]
⇒Total number of people who chooses tart = [tex]\frac{13}{9}x[/tex]
Now,
Fraction of the people chose a tart = [tex]\frac{People choose tart}{Total people}[/tex]
= [tex]\frac{\frac{13}{9}x }{5x}[/tex]
= [tex]\frac{13}{45}[/tex]
⇒Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
what is the "input" of a function
The question is in the picture!
Answer:
don't see
Step-by-step explanation:
a right angled triangle has sides which are 2cm and 7cm shorter than its hypotenuse find the length of the hypoenuse
Answer:
The length of the hypotenuse side is (9 + 2·√7) cm
Step-by-step explanation:
The given parameters of the triangle are;
The type f triangle = Right triangle
The length of the sides 2 cm and 7 cm shorter than the hypotenuse
Let 'h' represent the length of the hypotenuse side of the triangle, in centimeters we have;
The length of one side of the right triangle = (h - 2) cm
The length of the other side of the right triangle = (h - 7) cm
By Pythagoras's theorem, we have;
h² = (h - 2)² + (h - 7)²
Using search function on the internet, we have;
h² = (h - 2)² + (h - 7)² = 2·h² - 18·h + 53
∴ h² = 2·h² - 18·h + 53
∴ 2·h² - 18·h + 53 = h²
h² - 18·h + 53 = 0
53 is a prime number, therefore, by the quadratic formula, we have;
h = (18 ± √((-18)² - 4×1×53))/(2 × 1)
h = 9 + 2·√7 cm ≈ 14.29 cm or h = 9 - 2·√7 ≈ 3.71
However, given that one of the side is 7 cm shorter than the hypotenuse, for all the sides to remain positive, we have h = 9 + 2·√7 cm ≈ 14.29 cm , because for h ≈ 3.71 cm, we have;
The length of the other side = (h - 7) cm ≈ (3.71 - 7) cm ≈ -3.29 cm which is not possible for a real triangle
Therefore, the length of the hypotenuse side, h = 9 + 2·√7 cm ≈ 14.29 cm.
The hall has 10 windows that measure 2m across and 2m high. It also has 4
doors that measure 2m high and 1,8m across
i)
What is the area of all four walls in the hall (including all windows and
doors)?
pleaseee CAN YALL HALP ME
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
a = 180 - (90 + 28) = 180 - 118 = 62
b = a = 62 ( vertically opposite angles )
c = 180 - (90 + 62) = 180 - 152 = 28
Since a = b = 62 and c = 28
Then the triangles are similar by the AA postulate
Answer:
A=62 degrees
B= 45 degrees
C=45 degrees
Step-by-step explanation:
Please someone actually help me with this
Answer:
π radians
Step-by-step explanation:
The angle subtended at the centre by an arc, has the same measure as the arc subtending it, then
angle subtended = measure of arc = π radians
find x, find jl . any help is deeply appreciated :) !
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78
What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent
Answer:
64.58
Step-by-step explanation:
Answer:154.84%
Step-by-step explanation:
bag contains 16 balls 4 are blue. how what percentage of balls are blue ?
Answer:
25% is the answer. 4 is 25% of 16.
Question 16
16. Twenty more than a number, n, is
10 less than twice the number. What is
the number?
Answer:
I think the answer should be 20
7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is
Answer:
no. of consecutive integers--- X, X+1, X+2.
there sum is 60
X+X+1+X+2=60
3X+3=60
X+1=20
X=19
integers are=19, 20, 21
5) If Oskar bisects the diameter of a circle, what is he trying to construct?
6) What is the center and radius of a circle with the equation (x - 5)+ (y + 3)2 = 49
Answer:
Center = (5,-3) and radius = 7
Step-by-step explanation:
(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.
(6) The given equation is :
[tex](x-5)^2+(y+3)^2=49[/tex]
The general equation of circle is given by :
[tex](x-a)^2+(y-b)^2=r^2[/tex] ...(1)
Where
(a,b) are the coordinates of the centre and r is the radius.
The given equation can be written as :
[tex](x-5)^2+(y+3)^2=7^2[/tex] ..(2)
Comparing equation (1) and (2) we get :
a = 5, b = -3 and r = 7
So,
Center = (5,-3) and radius = 7
Hence, this is the required solution.
Simplify (3x2 - 2) + (2x2 - 6x + 3). (1 point)
a
5x2 - 6x + 1
Ob
5x2 - 6x -1
Oc
x²- 6x +1
Od
5x2 - 8x + 3
Answer:
A) 5x² - 6x + 1
Step-by-step explanation:
In this question, you would have to simplify the expression.
Solve:
(3x² - 2) + (2x² - 6x + 3)
Combine like terms.
3x² - 2 + 2x² - 6x + 3)
5x² - 2 - 6x + 3
5x² - 6x + 1
Since there's no more like terms, we have completely simplified the expression.
Therefore, your answer would be A) 5x² - 6x + 1
Write the following series in sigma notation.
2+9+16+23+30+37+44
Answer:
it will 161
Step-by-step explanation:
Hope mark as brain list
Simplify the expression below.
15+x-10
Answer:
x+5
Step-by-step explanation:
15+x-10=x+5
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?
Answer: C. 0 ≤ x ≤ 230
When the A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].
Calculation of the domain of the equation:Here the domain is the values of 'x' in the function f(x).
the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)
So, the domain of the function for this situation is [0,260].
Learn more about domain here: https://brainly.com/question/18573273
a. Write an equation representing the fact that the product of two consecutive even integers is 80. Use x to represent the smaller integer.
b. Solve the equation from part (a) to find the two integers
Answer:
a.
[tex]x \times (x + 2) = 80[/tex]
Hope it helped
please mark BRAINLIEST
a. The equation will be of the form x(x+2) = 80.
b. The two numbers are 8 and 10.
What is an integer ?An integer is a number which has no decimal value.
According to the given question we have to write an equation representing the fact the product of two consecutive even integers is 80.
Let us represent the smaller integer x and the greater integer by (x+2).
As even numbers comes after every 2 digits.
∴ x(x+2) = 80
x² + 2x = 80
x² + 2x - 80 = 0
x² + 10x - 8x - 80 = 0
x(x+10) - 8(x+10) = 0
(x+10) = 0 OR (x-8) = 0
x = -10 OR x = 8. ( x = 8 is the valid option as it satisfies the given equation)
The two integers are 8 and 10.
learn more about integers here :
https://brainly.com/question/16941498
#SPJ2
value of x
plz answer correctly
Answer:
it is 80°
cause it is coming from the same cord AB
O and C will be same
Answer:
x = 40
Step-by-step explanation:
x = 80÷2 = 40
Central angle theorem
Here is another problem please help!
Answer:
A is 60
AC is 150
BC is 120..........
PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)
A rectangular garden has length and width as given by the expressions below. Length: 4 - 7 (3x + 4y) Width: 3x(-2y) Write a simplified expression for the perimeter of the rectangle.
Answer:
⇒ 8 − ⇒ 42x − ⇒ 56y − ⇒ 12xy
Step-by-step explanation:
Im smart
Answer:
8 − 42x − 56y − 12xy
Step-by-step explanation:
Yes.
GENGUR
20. Gençlik ve Spor bakanlığının düzenlemiş
olduğu Gençlik Kamplarına bu yıl her ilden 16
öğrenci katılmıştır.
Torkiye'de 81 l bulunduğuna göre Gençlik
kamplarne katılan toplam Oğrenci sayısı kaçtır?
Answer:
11 cevapppppppppppppp bb
What is the solution to this system of linear equations?
y - 4x=7
2y + 4x = 2
(3,1)
(1,3)
3.-1)
(-1,3)
[tex]y=7+4x\\2(7+4x) +4x=2\\14+8x+4x=2\\14+12x=2\\12x=-12\\x=-1\\\\y-4(-1)=7\\y+4=7\\y=3[/tex]
(-1,3)
edge is stressful how do you get caught up quick
Can anyone help me? I have to write an equation.
if its in slope intercept witch I expect then,
Y=Mx+b
Y=1/5+4
if 2x^2-5x+7 is subtracted from x^2+2x-11, what is the leading coefficient?
a)-18
b)2
c)-2
d)7
Answer:
-1
Step-by-step explanation:
2x² - 5x + 7 is subtracted from x² + 2x - 11, so
(x² + 2x - 11) - (2x² - 5x + 7)
x² + 2x - 11 - 2x² + 5x -7 (Distribute the negative)
-x² + 7x - 18 (Combine like terms)
The leading coefficient is the coefficient of the first term, so it is -1.
The diameter of a circle is 3 m. What is the circle's circumference?
Answer:
C≈9.42m
Step-by-step explanation:
C=πd=π·3≈9.42478m
Alice bought 2 posters for $2.49 each. After a 7% sales tax was added, how much did Alice owe for her posters? PLEASE ANSWER AND DONT WASTE MY POINTS!! WILL MARK BRAINLIST
Answer:
Alice owed $5.32
Step-by-step explanation:
Answer:$5.34
Step-by-step explanation: