In the system of equations, b is a constant. If the system has infinitely many solutions, what is the value of b?
Answers
Answer:
The value of b is 9.5
Step-by-step explanation:
If a system of equations has infinitely many solutions, that means the two equations are equal
If the system of equations ax + by = c, dx + ey = f, then
a = d ⇒ coefficients of xb = e ⇒ coefficients of yc = f ⇒ numerical termsLet us use this fact to solve the question
∵ 3x - y = 19 ⇒ (1)
∵ 1.5x - 0.5 y = b ⇒ (2)
∵ This system of equations has infinitely many solutions
∴ The coefficients of x must be equal
∴ The coefficients of y must be equal
∴ The numerical terms must be equal
→ Multiply equation (2) by 2 to make the coefficients of x and y on it
equal the coefficients of x and y in equation (1)
∵ 2(1.5x) - 2(0.5y) = 2(b)
∴ 3x - y = 2b ⇒ (3)
→ By comparing equations (1) and (3), 19 must equal 2b
∵ 2b = 19
→ Divide both sides by 2
∴ b = 9.5
∴ The value of b is 9.5
Related Questions
A piece of paper is LaTeX: 8\frac{1}{2}8 1 2 inches wide. You tape 7 pieces of paper together to make a banner. How long is your banner? Type your answer as a simplified fraction using the forward slash "/".
Answers
Answer:
81/2
Step-by-step explanation:
you need to divid that o getter
A student wrote the problem in the box on his homework paper.
Given:6-2(x+7)=10
Step 1: 6-2x+14=10
Step 2:20-2x=10
Step 3:-2x=10
Step 4:x=5
Answers
Answer:
fooooot
Step-by-step explanation:
Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared
Answers
Answer:
25[tex]\pi\ m^2[/tex]
Step-by-step explanation:
Given that:
A large circle in the park has its middle part painted.
The circle is divided in 4 equal parts.
Radius of the circle = 10 meters
To find:
Area of each section of the circle, [tex]A[/tex] = ?
Solution:
Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.
First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:
[tex]Area = \pi r^2[/tex]
Here, [tex]r = 10 m[/tex]
Putting the value in the above formula, we get:
So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]
Now, there are 4 equal parts of the circle, therefore area of each section will be equal.
Area of each section of the circle:
[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]
i need to find the measure of the exterior angle of the triangle
Answers
Answer:
92º
Step-by-step explanation:
(2x-2)º=x+45º
2x-2=x+45
2x-x=45+2
x=47
____________
22x-2=2(47)-2=92º
ASAP plz help me with this
Answers
Answer:
6
Step-by-step explanation:
Given this number line, DB = [?]
13 - 11 = x
11 - v = 7
13 - 11 = 2
2 = x
11 - v = 7
7 + 4 = 11
4 = v
v + x = ?
2 + 4 = 6
Given this number line, DB = [6]
Use the distance formula to find the distance between the two coordinate point (round to the nearest the third). Coordinates: (-3,-2) and (3,2)
Answers
The distance is 10 units
What is the sum of the one hundredth of 25, one tenth of thirty and one thousandth of 60?
Answers
Answer:
331/100 or 3 31/100
Step-by-step explanation:
We have;
One - hundredth of 25 = 1/100 × 25 = 1/4
One-tenth of 30 = 1/10 × 30= 30/10 =3
One-thousandth of 60= 1/1000 × 60= 60/1000= 3/50
So we have:
1/4 + 3 + 3/50 = 331/100 or 3 31/100
The ratio of boys to girls in a group is 7.1. If there are 54 more boys than girls, work out how
many boys there are,
Answers
Answer:
63 boys
Step-by-step explanation:
7 - 1 = 6
54 divided by 6 is 9
9 x 7 = 63
Answer:
63 boys
Step-by-step explanation:
7-1=6
6*9=54
A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
O K.y) - «-3, y + 5)
O (.y)- -3.y- 5)
O (x.y)- (x+ 3, y-5)
O «.y) - («+3, y + 5)
Answers
Answer:
The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.
Thus,
(x, y) ⇒ (x – 3, y + 5)Step-by-step explanation:
Given the rule T–3, 5(x, y)
The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.
Thus, if a triangle on a coordinate plane is translated according to the
rule T-3, s(x, y), then another way to write this rule will be:
(x, y) ⇒ (x – 3, y + 5)
A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers generated for single digit numbers
Answers
Answer:
9/50
Step-by-step explanation:
There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:
Probability = number of favorable outcomes /total number of outcomes
Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50
Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
2
x + 6 that passes through (−2, 0).
The equation of the line that passes through (−2, 0) is y = .
Answers
Answer:
y = 7/2x + 7
Step-by-step explanation:
0 = 7/2(-2) + b
0 = -7 + b
b = 7
y = 7/2x + 7
PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24
Answers
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)
an=81,d=-3,n=18 solve the question by using formula an=a+(n-1)d
Answers
Step-by-step explanation:
An = A + (n - 1)d
We have An = 81, d = -3 and n = 18.
Hence A = An - (n - 1)d = 81 - (17)(-3) = 132.
81= a+-3{18-1]
Solve the brackets
81= a-3[17]
81= a-51
Move 51 to the other side as a positive number
81+51 is 139
Therefore, a is equal to 139
can someone help me with this? (look at the image)
Answers
Answer:
H = (-1,3)
G = (-1,-1)
Step-by-step explanation:
Jack is age 45 and owns a self-only high deductible health policy with a $7,000 deductible under his HSA. What is his maximum permitted HSA contribution in 2020?
Answers
Answer:
$3350
Step-by-step explanation:
HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family, in which these contributions require 100% tax -deductible at gross income.
Thus, the maximum permitted HSA contribution in 2020 for Jack is $3350.
The maximum permitted HSA contribution in 2020 for jack is $3350.
A health savings account (HSA) is a tax-advantaged savings account a family or individual can use to pay for qualified medical expenses. HSAs are paired with a high-deductible health plan (HDHP) and have annual contribution limits. Each year, the IRS HSA rules adjust the guidelines regarding HDHPs and HSA contribution limits.
HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family.
Hence The maximum permitted HSA contribution in 2020 for jack is $3350.
For more details follow the link:
https://brainly.com/question/26017447
A graph has average temperature (degrees Fahrenheit) on the x-axis, from 0 to 60, and total coat sales on the y-axis, from 0 to 100. A trend line goes through points (55, 50) and (65, 40). The regression equation is y = negative 0.96 x + 103.
Use the regression for Clothes-4-You coat sales to make predictions.
How many coats should Clothes-4-You expect to sell when the average temperature is 80°F?
What is the predicted temperature when 125 coats are sold?
Answers
Answer:
its 3 and 60 on edg
Step-by-step explanation:
Answer:
26 coats; -23°F temperatureStep-by-step explanation:
For x = 80, we have:
y = - 0.96*80 + 103 = 26.2 ≈ 26 coats expected to be soldPredicted temperature when 125 coats are sold:
125 = - 0.96x + 103- 0.96x = 22x = 22/-0.96x = -22.9 ≈ -23°Fplz help me with this
Answers
Step-by-step explanation:
numbers 1 4 and 7
Plz help fast!
Which type of association does each scatterplot
show?
A. Positive,
B. Negative,
C. No Association.
Answers
A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative, I hope this helps
HELLLOOOOOO VERIFIED PEOPLE OR GENIUS PEOPLE PLEASE HELP ME OUT!!
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 9.
Q' =
R' =
T' =
W' =
Answers
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a sca… Get the answers you need, now! ... Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 3. 2 ... Which expression has a value of -16 when p = 16 and q = 2?
sorry just looked it up
is this set of ordered pairs a function ?
{ (6,1) (9,2) (6,8) (9,7) (8,3)}
Answers
Answer:
nope always remember if the x's are the same its not a function :)
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
x has y
6 has 1 and later said
6 has 8
this could not happen in a function
In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19
Answers
Answer:
yui no kami usika mi 4x5
Step-by-step explanation:
Find the Domian and Range.
Answers
Answer:
Domain: [-5,5]
Range: [-5,5]
Step-by-step explanation:
Domain: the set of possible values along the x-axis.
Range: the set of possible values along the y-axis.
Hi lol um im confused I will give brainless and im slow so please answer this ? if you know :p
Answers
Answer:
27.5 answer B
Step-by-step explanation:
55/200 = .275
Answer:
B is the right answer i guess
⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?
Answers
Answer:
26
Step-by-step explanation:
A dog walker service offers a daily service and a weekly service in the winter the ratio of daily customers to weekly customers was one to five however in the spring more customers moved to the daily service because of the nicer weather after the weather changed the ratio was 4:2 if there were 1:5weekly customers in the winter then how many daily customers were there in the spring
Answers
Answer:
Daily customers were there in the spring = 100 customers
Step-by-step explanation:
In winter :
Daily customers to weekly customers = 1:5
In spring
Daily customers to weekly customers = 4:2
And total weekly customer in winter = 125
Find:
Daily customers were there in the spring
Computation:
Total customer in winter = 125[6/5]
Total customer in winter = 150
Daily customers were there in the spring = 150 [4/6]
Daily customers were there in the spring = 100 customers
Show work on this smart people
Answers
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
Select all the ratios that are equivalent to 9: 6.
06:9
18:12
13:10
0 3:2
O 7:5
Answers
Answers:
18:12
3:2
Step-by-step explanation:
9:6 = 9 * 2 : 6 * 2 = 18:12
9:6 = 9/3 : 6/3 = 3:2
Hope this helps.
5x-2x(x-1)=???????????????????????????????
Answers
Answer:
7x-2x"2
Step-by-step explanation:
Answer:
it is
7x-2x^2
Step-by-step explanation:
5x+2x-2x^2 = 7x-2x^2
On a Given the planet The weight of an object varies directly with the mass of an object suppose that an object whose mass is 3KG weighs 24N Calculate the mass of another object that weighs 32N
Answers
Answer:
im too confused. What am i supposed to be doing?
Step-by-step explanation:
Answer:
The mass =32/24×3
The mass is 4kg
Step-by-step explanation:
plz help me ........
Answers
Answer a is it
Step-by-step explanation