lets take
x+y=100 firstly.
then x=100-y equation (i)
Now,
x-y=10
Putting value of x from equation(i)
100-y-y=10
-2y=10-100
-2y=-90
therefore, y=45
Now,
putting value of y in equation(i)
we get
x=100-45
ie x=55
hence, x=55 & y=45
Answer:
The solution is (55, 45).
Step-by-step explanation:
Solve the system of linear equations
x + y = 100
x - y = 10
through elimination by addition / subtraction.
Combining these two equations temporarily eliminates y, leaving us with 2x = 110. Then x = 55.
Substituting 55 for x in the first equation, we get:
55 + y = 100. Subtracting 55 from both sides leaves us with y = 45.
The solution is (55, 45).
Does anyone know the answer??
Answer:
b = 60
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 63² = 87²
b² + 3969 = 7569 ( subtract 3969 from both sides )
b² = 3600 ( take the square root of both sides )
b = [tex]\sqrt{3600}[/tex] = 60
The ratio of the number of Baskin Robbins :Cold stone ice cream cones sold in a day is 11:9.If the number of Baskin Robbins cone sold is 44 .(a)How many cold stone cones are sold ? (b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?
answer fast plsssssssssssssssssssssssssssssssss
Answer:
a) 36
b) 11:5
Step-by-step explanation;
a) let the number of cold stone cones be x
Since the initial ratio is 11:9
we have the ratio of the ice creams as;
11:9 = 44:x
11/9 = 44/x
11 * x = 9 * 44
x = (9 * 44)/11
x = 9 * 4 = 36
b) Now, from 36, we have a number of cold stones as 20
So the ratio now will be;
44:20
and that would be;
11:5
6) Which table represents a function?*
Answer:
The table d.
Step-by-step explanation:
A central angle measuring 120° intercepts an arc in a circle whose radius is 6.
What is the area of the sector of the circle formed by this central angle?
π
12 π
24 π
36 π
Answer:
A central angle measuring 120° intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle? Answer choices: 1/3π
Step-by-step explanation:
What is the number that is 1 number before infinity?
WHOEVER WILL ANSWER FIRST AND CORRECT WILL BE THE BRAINLIEST and take ur time I am asking for fun to see who is the best☺
Answer:
напиши по русский
Я НЕ ПОНИМАЮ.
The area of the trapezium above is 22 cm².
What is the value of x ?
Answer:
4cm
Step-by-step explanation:
Given area= 22cm²
Height =4cm
Parallel sides = xcm and 7cm
Area of trapezium = ½( sum of parallel sides) x height
22cm² = ½(xcm+7cm)×4cm
22cm²= ½ ( x+7)cm x 4cm
opening the bracket
22cm²= 4x+28/ 2
cross multiply
44cm²=4x+28
4x=44-28
4x=16
x=4cm
Laura's yard is in the shape of a square and a half-circle.
Answer:
289
Step-by-step explanation:
17 x 17 = 289
Determine a simplified expression to represent the area of shaded region within the figure below
Answer:
[tex](5x-3)^{2}[/tex] - (3x+1)(2x-1)
Step-by-step explanation:
Determine the area of the large square: (5x - 3)(5x - 3)
Determine the area of the small rectangle: (3x + 1)(2x -1)
Subtract the area of the small rectangle from the area of the large square to get the area of the shaded region.
Hamburger Heaven is having a lunch special where customers buy one -pound cheeseburger and get one free. If they set aside pounds of meat, how many -pound cheeseburgers can they make?
A.
165
B.
20
C.
330
D.
496
Answer: 459 cheeseburgers
Step-by-step explanation:
To find out the number of cheeseburgers that can be made, divide the amount of meat set aside by the amount of meat it takes to make one cheeseburger.
The amount of meat they have is:
= 114²/₃
= 344/3
Number of cheeseburgers is:
= 344/3 ÷ 1/4
= 344/3 * 4/1
= 1,376 / 3
= 458.67
= 459 cheeseburgers
Which of the following shows the difference in the amount of liquid that both bottles hold rounded to the nearest tenth?
Answer: A
Step-by-step explanation:
Gabriel pays $37.80 for a ticket to a show. The amount includes an 8% sales tax.
What is the price of the ticket without sales tax? Show your work.
Answer:
$34.78
Step-by-step explanation:
37.80 × 8 ÷ 100 = 3.02
37.80 - 3.02 = 34.78
Find the x-intercepts for the parabola defined
by this equation:
y=-2x^2- 4x + 6
Write your answer as two ordered pairs:
Answer:
(-3,0) ; (1,0)
Step-by-step explanation:
We have to solve the associated equation:
-2x^2 -4x + 6 = 0
-x^2 - 2x + 3 = 0
x^2 + 2x -3 = 0
Δ/4 = 1 + 3 = 4
x1 = -1 + 2 = 1
x2 = -1 -2 = -3
In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.
What is the length of a diagonal?
Answer:
18
Step-by-step explanation:
From the rectangle, M O = NP
4x - 10 = 2x+4
4x-2x = 4 + 10
2x = 14
x = 14/2
x = 7
SInce MO and NP are the diagonal
Length of diagonal = 4x- 10
Length of diagonal = 4(7) - 10
Length of diagonal = 28 - 10
Length of diagonal = 18
hence the required length is 18
Among the licensed drivers in the same age group, what is the probability that a 78-year-old was involved in an accident? Use the table below.
Answer:
C. 6.6%
Step-by-step explanation:
The probability of an event 'A' occurring, P(A) is given by the ratio of the number of times event A occurs to the some of all possible events
Mathematically, we have;
[tex]The \ probability \ of \ an \ event = \dfrac{The \ number \ of \ the \ required \ outcome}{The \ number \ of \ all \ possible \ outcomes}[/tex]
The number of drivers involved in an accident who are above 75 years = 13,321
The total number of drivers in accidents = (10,034 + 17,173+ 35,712+ 40,322 + 40,937 + 30,355 + 17,246 + 13,321) = 205,100
A 78-year-old is in the age group of 75 and older
∴ The probability that a 78-year-old licensed driver was involved in an accident = The probability that a 75 and older year-old licensed driver was involved in an accident = 13,321/205,100 ≈ 0.06495 = 6.5%
Therefore, the best option is option C. 6.6%
Answer:
4.2
Step-by-step explanation:
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You've taken out a load for $5,000 for five years. The interest you'll be paying over the five years is $2,250. What interest rate are you paying?
i need someone to please explain to me STEP BY STEP how to do this thank you
Answer:
2
Step-by-step explanation:
divide 5,000 by 2,250 and you get 2 its like you have 0 quarters and you want to know how many you need to have to get 50 cent 50 divided by 25 equal 2 but your quistion answer is 2
PLEASE HELP I’ll give brainliest
Answer:
2m(3/2+1)+3(5/3m-2)
Step-by-step explanation:
Hope this helps
The circumference of a circle is 8.44cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.
Answer:
Diameter = 2.68cm
Step-by-step explanation:
Circumference of a circle = 2πr
Circumference of a circle = 8.44cm
π = 3.14
r = ?
Circumference of a circle = 2πr
8.44 = 2 * 3.14 * r
8.44 = 6.28r
r = 8.44/6.28
r = 1.3439490445859
Approximately
r = 1.34
Diameter = 2r
Diameter = 2 * 1.34
Diameter = 2.68cm
What is 78,400,000 expressed in scientific notation
The scientific notation of 78,400,000 will be 7.84 × 10⁷.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.
An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.
Scientific notation of any number is given in form of a.bcde...× 10^something
Given the number,
78,400,000
Multiply and divide by 10⁷
⇒ 78,400,000 × 10⁷/10⁷
⇒ 7.84 × 10⁷.
Hence "The scientific notation of 78,400,000 will be 7.84 × 10⁷".
To learn more about indices,
https://brainly.com/question/170984
#SPJ1
How DISGUISE WILL BE WRITTEN IN THE CODE
Answer:
what are you asking?
Step-by-step explanation:
I just need a explanation pls
Answer:
SCreenshoit
wont lddlwd
Step-by-step explanation:
The graph f(x)=x^2 was transformed to create the graph g(x)=−(x/2)^2. Which statement describes this transformation?
a reflection over the x-axis and a vertical stretch
a reflection over the y-axis and a vertical stretch
a reflection over the x-axis and a horizontal stretch
a reflection over the y-axis and a horizontal stretch
ill mark brainliest, question is attached
Answer:
5 is the answer!!!
Step-by-step explanation:
if its not im sorry lol
A bag contains:
5 red marbles
4 blue marbles
2 green marbles
6 black marbles
3 yellow marbles
1. What is the probability a
green marble will be
randomly drawn?
Answer: 2 out of 20=2/20 but simplified 1/10 for trying to get a green marble.
What is the domain for the relation R={(2,3),(1,3),(-2,1),(1,1)}?
Answer:
Step-by-step explanation:
There are four points here. We look at the x-values and identify {2, 1, -2, 1]. This can be reduced to {-2, 1, 2}
Unfortunately, the input '1' shows up twice and thus the relation cannot be a function; we cannot have two different y-values for the same x-value (1).
Pls help and explain because I don’t really understand
9514 1404 393
Answer:
see attached
Step-by-step explanation:
When a transversal line crosses parallel lines, it creates 8 angles. If the transversal crosses at right angles, every one of those angles is a right angle.
If the transversal does not cross at right angles, it creates 4 acute angles and 4 obtuse angles. The acute and obtuse angles are supplementary to each other, since they form linear pairs.
All of the acute angles are congruent, as are all of the obtuse angles. [this is the simplicity of it — only true if the lines are parallel]
__
Different pairs of angles have names. Angles on opposite sides of a point of intersection are "vertical" angles. Angles between the parallel lines are "interior" angles, and those outside are "exterior" angles. Angles on the same side of the transversal are called "same-side" or "consecutive" angles. Angles on opposite sides of the transversal are called "alternate" angles.
Angles in the same direction from the points of intersection (upper-left, for example) are called "corresponding" angles.
__
Angle relationships are often described in the terms described above. For example, every pair of "corresponding angles" is congruent, as are "alternate interior" or "alternate exterior" angles. In any geometry (not just one like this), "vertical angles" are congruent.
_____
You are given the measure of angle 4 (122°). This tells you every obtuse angle in the figure is 122°, and every acute angle in the figure is 180°-122° = 58°. All you need to do to find the angle measures is identify the angle as acute or obtuse.
For justification, you may be expected to determine the relationship of the requested angle to angle 4.
7. ∠8 — part of linear pair; supplementary to ∠4
8. ∠5 — alternate exterior; congruent to ∠4
9. ∠2 — corresponding; congruent to ∠4
10. ∠1 — consecutive exterior; supplementary to ∠4
11. ∠6 — vertical to ∠1*, so the same measure as ∠1
12. ∠7 — vertical to ∠4; congruent to ∠4
__
* angles 1 and 4 have no named relationship. angle 2 is corresponding to angle 4, and angle 5 is alternate exterior with respect to angle 4. Each of those is supplementary to angle 6, so angle 6 is supplementary to angle 4.
Can anyone answer this ASAP
Answer:
650 ft^2
Step-by-step explanation:
Without the gap, the area of the rectangle is 20ft x 35ft = 750 ft^2. The gap is a square having 10ft on the side so its area is 10ft x 10ft = 100 ft^2. Subtracting the area of the square gap from the rectangle gives you 650 ft^2.
Which are the correct measures of the interior angles of DCDE?
0 94
E
1239
a) ĐDCE - 57°, Đ CDE - 86°, and ĐCED = 37°
b) ĐDCE = 37°, Đ CDE = 86°, and ĐCED = 57°
D c ĐDCE= 48°, ĐCDE = 75°, and ĐCED = 579
d) ĐDCE = 37°, Đ CDE = 68°, and ĐCED = 75°
Which is the right answer
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
A cyclist travels 5.8 km in 30 minutes.
What is his average speed in km/h?
Answer:
11.6km/hr
Step-by-step explanation:
You need to double 30 minutes to get an hour, so do the same with the distance.
5.8*2=11.6 km
11.6km/hr
7. Beyunka has six baseballs that she keeps at her grandparents' house. That
number represents 20% of the baseballs that come in a case. The relationship is
shown in the tape diagram shown below. What is the total number of baseballs
that come in a case? *
Number of Baseballs
O A. 20
O B. 30
O C. 40
D. 60
Big points if you answer this
Answer:
i think its A but im not 100 percnt sure
Answer:
a
Step-by-step explanation: