Answer:
the aswer is B
Step-by-step explanation:
X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?
Answer:
24
Step-by-step explanation:
We have a system of equations, so we can start with the second equation:
[tex]x-y=2[/tex]
And move y to the other side to isolate x:
[tex]x=2+y[/tex]
Now we can replace x into the first equation:
[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]
Notice that we can cancel out the y squared terms:
[tex]4+4y=48\\ 4y=44\\ y=11[/tex]
Now we just need to find x by replacing y into the second equation:
[tex]x-11=2\\ x=13[/tex]
And finally, add them:
[tex]x+y=11+13\\ x+y=24[/tex]
Hope this helps.
Answer:
x= 13
y=11
x^2 - y^2 = 48 and x - y = 2
x = 2 + y
(2 + y)^2 - y^2 = 48
(2 + y) (2 + y) - y^2 = 4
(4 + 2y +2y + y^2) -y^2 = 48
4 + 4y + y^2 - y^2 = 48
4 + 4y = 48
4y = 48 -4
4y = 44
y= 44/4
y= 11
Plug y back into the original equation:
x^2 - y^2 = 48
x^2 - 11^2 = 48
x^2 - 121 = 48
x^2 = 121 + 48
x^2 = 169
The square root of 169 is 13
So x= 13
x + y
13 + 11 = 24
a swimming pool is drained at a rate of 50 gallons per hour. How many pints per minute is this?
Answer:
8
Step-by-step explanation:
please help me Simplify (4m3)2.
Therefore, the simplified form of (4m3)2 is 24m.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run to finish the race?
The number of kilometers she will have left to run to finish the race is 0.9 km.
Given the following data:
Total distance = 13.5 kmSpeed = [tex]8\frac{2}{5} \;km/hr[/tex]Time = 1.5 hoursTo determine the number of kilometers she will have left to run to finish the race:
First of all, we would calculate the distance she has covered by using this formula;
[tex]Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}[/tex]
Distance = 12.6 meters.
For the distance left:
[tex]Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6[/tex]
Distance left = 0.9 km.
Learn more about distance here: https://brainly.com/question/10545161
help please RSM problem -need anwser please
Answer:
1/8 + 1/4 = 3/8
Step-by-step explanation:
Suppose your family buys a "movie card" from a DVD
store that entitles you to rent 25 movies. You rent 3
movies per week.
Model the situation with a linear function.
The function that models this given situation is 3x = 25.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, my family bought a movie card from a DVD store that entitles you to rent 25 movies.
Assuming no. of weeks to be x, therefore i can watch movies for
3x = 25 weeks at 3 movies rented each week.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ5
Chords AB and CD of a circle intersect.
. AB is divided into two line segments measuring 4 cm and 18 cm.
• CD is divided into two line segments, with the length of one segment twice the length of the other.
What is the length of CD?
Step-by-step explanation:
line CD, WE and BD are half of the length of CD
Which correlation coefficient best matches the graph?
Answer:
c)
Step-by-step explanation:
the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.
What is this expression translated into words?
2n + 1
a
one plus 2 divided by a number n
b
2 times 1 added to a number n
c
two times a number n added to one
Answer:
C. two times a number n added to one
A jar is filled with pennies, nickels, and dimes. The probability of picking a penny is
1
4
, and the probability of picking a dime is
1
3
. What is the probability of picking a nickel?
Answer:
1
3 maybe
Step-by-step explanation:
Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student Council members. Members pay an annual fee of $50 for membership dues. How much will a member pay if they attend 15 dances during the school year.
Answer:
$110
Step-by-step explanation:
So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.
15*4=$60
However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
____ minutes
WARNING GIVE A DETAILED ANSWER
Time required to walk to school is, t=20 mins
Since, Andre takes 80% of time required to walk to school. Which means
Time taken by Andre = 80% of 20 minutes
t-80/100x20
t=16 minutes
Andre takes 16 minutes to walk to school.
p.s you can be rude and take the points to my question idc Imma be nice and help you
A company makes 140 bags.
30 of the bags have buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer: 41/75 or 54.67%
Step-by-step explanation:
Buttons --- yes, zips --- yes = 45 (compute as 150 - 37 - 45 - 23)
Buttons --- yes, zips --- no = 37
Buttons --- no, zips --- yes = 45
Buttons --- no, zips --- no = 23
Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75
in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?
A) 60cm³
B) 84cm³
C) 72cm³
D) 98cm³
Answer:
84cm cubic.
Step-by-step explanation:
That is how it is done.Hope it will help.
How many 1/6's are in 45/2
will mark brainliest help
Answer:
1 = 8 and 50
2= 50 and a
Step-by-step explanation:
A triangle has sides measuring 5 inches and 8 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5
B. 3
O C. 55x58
D. 35xs13
Answer:
For me,the answer will be A.
im not sure
correct me if im wrong
love ya
Answer:
B
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
8 - 5 < x < 8 + 5 , then
3 < x < 13 → B
A furniture maker used 5/6 of a can of paint to paint some chairs. He used 1/6 of a of paint for each chair. How many chairs did he paint? Write your answer as a fraction or as a whole or mixed number.
Answer:
5 chairs
Step-by-step explanation:
then you'd get 5 so the answer is 5.
Just divide 5/6 / 1/6,
Answer:
5
Step-by-step explanation:
This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;
This is an equation, which can be rearranged to give:
Number of chairs painted = total paint used/paint needed per chair
Total paint used = ⅚
Paint needed per chair = ⅙
Therefore:
Number of chairs painted = (⅚)/(⅙)
Number of chairs painted = ⅚ × 6
Number of chairs painted = 5
How many students answered exactly two questions incorrectly
Step-by-step explanation:
you didn't post the questions yk?!
The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of m?
Answer:
m = 3
Step-by-step explanation:
Slope of first one is -1/3
Perpendicular therefore m = -(-1/3)^(-1) = 3
m = 3
Answer:
Given the equation line 4x+12y=8
Step-by-step explanation:
The equation is y=mx+5y=mx+5
The line passes through A(3,14)A(3,14)
Putting (x,y)=(3,14)(x,y)=(3,14), we have…
14=3m+514=3m+5
⟹3m=9⟹3m=9
⟹m=3
6 pounds of candy cost 22.44. What is the cost of one pound
Answer:
$3.74
Step-by-step explanation:
Proportions:
6 pounds ⇔ $22.44
1 pound ⇔ $ C
C = 22.44*1/6
C = $3.74
a store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price?
Answer:
Sale price is [tex]15.2\$[/tex]
Step-by-step explanation:
Price is reduced by 80% from the original price.
Here original price is $76
Sale price is
[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]
Write the slope-intercept form of the equation of the line.
Answer:
y = x + 2
Step-by-step explanation:
By doing the rise over run, the slope is 1
The y - intercept is 2
You plug the numbers in the equation y = mx + b
y = x + 2
HELP ASAPPPPPPPPPPPPPPPPP
Answer:
b. Kilograms
Step-by-step explanation:
-hello10olleh (hello)
Answer: The slope of the line is b. 3
Answer:b
Step-by-step explanation:
In a bag there are pink buttons, yellow buttons and blue buttons.
There are five times as many pink buttons as yellow buttons.
number of yellow buttons : number of blue buttons = 4 : 7
One button is selected at random.
Work out the probability that the button is either pink or blue.
Give your answer as a fraction in its simplest form.
Answer:
27/31
Step-by-step explanation:
5pink : 1yellow
4yellow : 7blue
times the first ratio by 4 so that the yellows are equal (if that makes sense)
20pink : 4yellow : 7blue = 31 buttons
so the total is 31 buttons alltogether
and the pink and blue buttons together = 27 buttons
so 27/31 is the probability the button is pink or blue
Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA
36in rounded to the nearest tenth for circumference
Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.
Solution steps:
Step 1: Locate and underline the tens place () and look to digit to the right (6):
36
Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.
In short: 36 rounded to the nearest tens is 40.
Step-by-step explanation:
x²+1=2x
hope someone can help thanks!
Answer:
I think it’s x=1
Answer:
Step-by-step explanation:
x^2 + 1 = 2x
x^2 - 2x + 1 = 0
Factor (x - 1) ( x - 1)
x = 1
Ferris wheel makes 6 revolutions per ride. It
has a diameter of 45 feet. How far would someone
travel during one ride?
Answer:
270
Step-by-step explanation:
so u would take 6 and 45 and multiplay