Two numbers, x and y, have a sum of 8 and a difference of –14. A. Write a system of equations that can be used to determine the values of x and y. B. Solve the system of equations. Show your work.
Answer:
The system is:
x + y = 8
x - y = -14
And the solution is:
x = -3
y = 11
Step-by-step explanation:
We have two numbers x and y, such that:
x + y = 8 (the sum is equal to 8)
x - y = -14 (the difference is equal to -14)
This is the system of equations we need to solve.
To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:
x = 8 - y
Now we can replace this in the other equation to get:
(8 - y) - y = -14
8 - 2*y = -14
8 + 14 = 2*y
22 = 2*y
22/2 = y
11 = y
Now we can replace this in the equation "x = 8 - y"
To get:
x = 8 - 11 = -3
Then the solution to the system is:
x = -3 and y = 11
PLEASES HELP the screenshots are at the bottom
Answer:
D. The water will be about 50°C. (54.8 (rounded up) is 50.) C. 23; the amount the temperature increases each minute.Step-by-step explanation:
x = 6 (6 minutes)
5.3 x 6 + 23 = 54.8
5.3 x 6 = 31.8
31.8 + 23 = 54.48
2. C. 23: the amount of the temperature increased each minute.
Let me know if this helps!
What is tan(k)? 45, 24, 52
Answer:
Try A
Step-by-step explanation:
2(x - 9) = 10 can somebody solve this please using a method
Answer:
x=14
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
2(x - 9) = 10
2x - 18 = 10
add 18 o each side of the equation:
2x = 28
divide both sides by 2:
x = 14
help:(, i’m not sure how to do this
Answer:
i think you have to multiply the sides..
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) PQ² + PR² = QR²
PQ² + 14² = 50²
PQ² + 196 = 2500
PQ² = 2500 - 196 = 2304
PQ = √2304
PQ = 48
Sin Q = [tex]\frac{opposite side}{hypotenuse}=\frac{14}{50}\\[/tex]
[tex]Cos Q = \frac{adjacent side}{hypotenuse}=\frac{48}{50}\\\\Tan Q = \frac{oppsite}{adjacent}=\frac{14}{48}\\\\\\\Sin R = \frac{48}{50}\\\\Cos R = \frac{14}{50}\\\\Tan R = \frac{48}{14}\\\\[/tex]
2) tan 48 = [tex]\frac{x}{17}[/tex]
x = 17 * tan 48 = 17 * 1.1106 = 18.8802
x = 18.8802
Help please I don’t get it
Answer:
I'm not sure if I'm correct but I think it's F=5
Step-by-step explanation:
6 times 5 = 30
select ALL the answers that are correct.
Answer:
A,C
Step-by-step explanation:
Find the area of the given shape
Which proportion correctly shows the relationship between the part, whole, and percent of a percent problem
Answer:
C. [tex]\frac{Part}{Whole} =\frac{Percent}{100}[/tex]
Step-by-step explanation:
A good way to think about it is this. You know that 1/2 is 50%. It's common knowledge.
In this case 1 is the Part and 2 is the whole
[tex]\frac{Part}{Whole} = \frac{1}{2} = .50[/tex]
So to get 50% in decimal form we would have to divide it by 100 to move the decimal over two places
[tex]\frac{Percent}{100} = \frac{50}{100} = .50[/tex]
Therfore,
[tex]\frac{1}{2} = \frac{50}{100}[/tex]
or
[tex]\frac{Part}{Whole} =\frac{Percent}{100}[/tex]
To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
18x+5y=6
4x+3y=6
A)
subtract 2 times the second equation from 9 times the first equation
B)
subtract 9 times the second equation from 2 times the first equation
C)
subtract 3 times the second equation from 5 times the first equation
D)
subtract 5 times the second equation from 3 times the first equation
Please help!!
If you could explain that would be great!
Answer:
It would be 1/2
Step-by-step explanation:
y = (1/2)x has the format y = kx, where k is the const. of prop. In this particular case that const. of prop. is (1/2).
Write an expression that is equivalont to 4(5+2)-3h,
Answer:
28 - 3h
Step-by-step explanation:
We must do the work seen inside parentheses first.
Thus, we havve 4(7) - 3h, which simplifies to
28 - 3h
A triangle has two angles that measure 45 degrees and 35 degrees. What is the
measurement of the third angle?
Well, we know that a triangle's angles add up to 180°, so 45 + 35 + x = 180, and x = 100.
The third angle is 100.
Answer:
The measurement of the third angle is 100 degrees.
Step-by-step explanation:
Just add 45 + 35 which equals to 80. Every triangle's angles equal to 180 degrees so subtract 80 from 180. That equals 100 degrees.
Equation: 45+35=80
180-80=100
Hope this helps! :)
Solve the following inequality
x−3>7
Question 3 options:
x>10
x<10
x>4
x<4
Answer:
x>10
Step-by-step explanation:
x-3>7
x>7+3
x>10
(When switiching sides, you do the opposite operation hence you add 3 when it goes onto the other side)
Hope it helps!
Answer:
x > 10
Step-by-step explanation:
x - 3 > 7
+ 3 +3
x > 10
Solve for x and y simultaneously if:
x+4=2y and y2-xy+21=0
Answer:
Step-by-step explanation:
x=−10, y=−3
x=10, y=7
y=7,x=10
y=−3,x=−10
Solve for z: 10 = 2 = -25(4z -3)
Answer:
z = 13/20
Step-by-step explanation:
The steps are in the pictures below!
Can someone do this plsssss I need it for right now
Answer:
C
Step-by-step explanation:
If you count the hours by how much each answer choice is giving you, you will get the answer. (First job is 4 hours and a few mins. Answer choice C is $6 an hour. So 4 times 6 is 24 plus the extra minutes.)
Tell me which lines to draw to which ( whoever answers correctly gets brainliset )
Answer:
13. 24ft = 8yd
14. 120in = 10 ft
15. 2 yd = 72 in
16. 5 yd = 180 in
17. 20yd = 60 ft
Step-by-step explanation:
24ft*12 in = 288 inches/36 inches(1yd) = 8yd
120in/12in = 10ft
2yd*36in = 72 in
5yd*36in = 180 in
20yd*36in = 720/12in = 60ft
1ft = 12inches
1 yd = 36 inches
Which equation has the solution x = 2?
A 2x-3=19
B 3x+2=8
C 4x-4=-4
D 5x+1=10
Answer:
The answer is B.
Step-by-step explanation:
You can solve this problem by plugging in 2 for x in the given equations.
2(2) - 3 = 19 is false
3(2) + 2 = 8 is true
4(2) - 4 = -4 is false
5(2) + 1 = 10 is false
If the number of bacteria in a colony doubles every 70 hours and there is currently a population of 5 bacteria, what will the population be 140 hours from now?
Answer:
140
Step-by-step explanation:
hope i helped!
If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?
O -1
O 3/2
O 41/8
O 23
Answer:
b. 3/2
Step-by-step explanation:
A circle is centered on point B. Points A, C and D lie on its circumference.
If ZABC measures 40°, what does ZADC measure?
Given:
A circle is centered on point B.
Points A, C and D lie on its circumference.
If [tex]m\angle ABC[/tex] measures 40°.
To find:
The [tex]m\angle ADC[/tex].
Solution:
Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.
In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.
Using central angle theorem, we get
[tex]m\angle ABC=2m\angle ADC[/tex]
[tex]40^\circ=2m\angle ADC[/tex]
[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]
[tex]20^\circ=m\angle ADC[/tex]
Therefore, the measure of angle ADC is 20°.
what is the difference between 479,310 and 214,991?
Answer:
264,319
Step-by-step explanation:
A difference is a subtraction problem.
Subtract 214,991 from 479,310.
479,310 - 214,991 = 264,319
BRAINLY TO WHOEVER HELPS
Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10
Answer:
A, C and D
Step-by-step explanation:
B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go
PLSS HELP GIVING 5 POINTS PLUS BRAINLIEST
Caleb throws a ball three times for his dog Leo. For each throw, Leo either
catches the ball or misses it. Identify the sample space (the correct list of
possible outcomes) for the results.
C = catch, M = miss
The notation CMC means Leo caught the first ball, missed the second one,
and caught the third one.
A. {CCCC, CCMM, MMMM}
B. {CCC, CCM, CMC, MCC, MMC, MCM, CMM, MMM}
C. {CCC, CMC, MMM}
O O
D. {CC, CM, MC, MM}
Answer:its B. I took the test
Step-by-step explanation:
What are the answers I will give brainlyest
Answer:
The answer to number 7 is x=4
Find the circumference of the circle. Use 3.14 for π. Round to the nearest hundredth, if necessary.
Answer:
There is no circle
Step-by-step explanation:
If you post the circle, I will help
Make sure to attach a file of the photo (Please no links)
b.
Assume the trend in the numbers of users tripling each year was true for all years from 2001 to
2009. Complete the table below using 2005 as year 1 with 3 million as the number of users that
year.
-3
-2
-1
0
1
2
3
4
5
Year
# of
users in
millions
3
The blue segment below is a diameter of OO. What is the length of the radius of the circle? O A. 2.95 units O B. 11.8 units O c. 5.9 units O D. 8.85 units
Answer:
The length of the radius is 2.95 units
The length of the radius of the circle is 2.95 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that blue segment below is a diameter of O
Diameter is five point nine.
We need to find the radius of the given circle.
Radius is equal to diameter by two
Radius= Diameter/2
Now put value of diameter in the above formula
Diameter = 5.9
Radius =5.9/2
=2.95
Hence, the length of the radius of the circle is 2.95 units.
To learn more on Circles click:
https://brainly.com/question/11833983
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In an online survey 55 out of 100 parents prefer to receive the weekly newsletter
electronically. How many PAPER newsletters would the school estimate are
needed if there are 700 parents?