Answer:
Yes, (2, 10) is a solution to this system:
y = 4x + 2
y = x + 8
Step-by-step explanation:
When graphed, the two equations cross at (2,10) making it a solution.
Answer:
Yes
Step-by-step explanation:
If y=4x+2 and y=x+8, then 4x+2=x+8
4x+2=x+8
4x=x+6
3x=6
x=2
Plugging this into the original equation "y=x+8", we obtain the result that y=10.
This means, (2, 10) is a solution to the system.
Let me know if this helps!
Dana is planning to drive 400 miles from
New York to Boston and back. Dana's
hybrid car can travel 50 miles on 1 gallon
of fuel. Biodiesel fuel costs $4.45 per
gallon.
Part A: How many gallons of fuel does
Dana need to purchase for the 400-mile
trip? Explain your reasoning.
Part B: Dana can take a high-speed train
to Boston instead of driving. A round-trip
train ticket costs $95. Is it cheaper for
Dana to take the train or to drive? How
much cheaper? Explain your reasoning.
Answer:
A. 8 gallons
B. Drive by car is $59.4 cheaper than travel by train
Step-by-step explanation:
According to the scenario, given data are as follows,
Total drive = 400 miles
Total drive per gallon = 50 miles
Fuel cost per gallon = $4.45
A. So, Total fuel required to drive 400 miles can be calculated as follows,
Total fuel required = Total drive ÷ Total drive per gallon
By putting value, we get,
Total fuel required = 400 ÷ 50
= 8 gallons
B. Total cost if drive by car = 8 gallons × $4.45 = $35.6
Cost if travel by train = $95
Hence it is clearly shows that drive by car is much cheaper than travel by train.
Cost saved by travel by car = $95 - $35.6 = $59.4
So, drive by car is $59.4 cheaper than travel by train.
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Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
equation of line formula:
[tex]y = mx + c[/tex]
m = slope
c = y-intercept
1) find m
slope formula:
[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
take 2 coordinates from the given graph and substitute the values into the slope formula
i) (-1,0)
[tex]x _{1} = - 1[/tex]
[tex]y_{1} = 0[/tex]
ii) (3,2)
[tex]x_{2} = 3[/tex]
[tex]y_{2} = 2[/tex]
substitute the values into the slope formula
[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]
[tex]m = \frac{2}{4} [/tex]
[tex]m = \frac{1}{2} [/tex]
2) find the half equation of the line by substituting the value of m into the equation of line formula
[tex]y = \frac{1}{2} x + c[/tex]
3) find c by substituting either coordinate into the half equation
(3,2)
x = 3
y = 2
[tex]2 = \frac{1}{2} (3) + c[/tex]
[tex]2 = \frac{3}{2} + c[/tex]
[tex]2 - \frac{3}{2} = c[/tex]
[tex] \frac{1}{2} = c [/tex]
[tex]c = \frac{1}{2} [/tex]
4) find equation of line by substituting the value of c into the half equation
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
I NEED HELP!!!!
Physical therapists measure strength on a dynamometer, which uses a unit called a foot-pound. Suppose you increase the strength in your elbow joint from 90 foot-pounds to 125 foot-pounds. Find the percent of increase to the nearest percent.
A.
39%
B.
138.9%
C.
28%
Answer:
A. 39%
Step-by-step explanation:
(125-90)/(90)=(35)/(90)=0.3889 or 39%
To find the percent increase, we need to divide the amount of change by the original amount.
Determine the value of 3p if p =
6
Answer:
18
Step-by-step explanation:
A school band consists of 45 boys and 50 girls of total number of boy 18 play the drums what percent of boys in the band play the drums
Determine the value of the variable from the image below.
Answer:
x=29Step-by-step explanation:
to understand the solving stepsyou need to know about:right angleequationPEMDASto solve:xlet's solve:a right angle contains 90° (always)
according to the question
x+3+x-1+x+1=90
3x3=90
x=87
x=29
solvedExplain how you could set up an equation to find the amount of money you should save each week to buy the iguana that’s $9 in 6 weeks.
56 cm
42 cm
What is the length of the hypotenuse?
C=
centimeters
Answer:
70
Step-by-step explanation:
56*56 = 3136
42*42 = 1764
3136+1764 = 4900
4900 squared is 70
Given: ΔLMN ≅ ΔPQR Find: m
What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)?
(5 points)
A.) (y − 2) = −3(x − 1)
B.) (y − 2) = 3(x − 1)
C.) (y − 1) = −3(x − 2)
D.) (y + 2) = 3(x + 1)
Please make sure the answer is correct
Answer:
B
Step-by-step explanation:
First, find the slope by using change in y divided by change in x.
Change in y = 5 - 2 = 3
Change in x = 2 - 1 = 1
This means that the slope is 3/1 = 3.
Then, you put it in the point-slope form so:
(y - 2) = 3(x - 1)
what is the y-intercept? B =
Answer:
60
Step-by-step explanation:
Since when x = 0 the corresponding value of y is 60. So, y-intercept (b) = 60
x/5 - 12 = -8 equals what
a pizza costs $11 and $1.50 per topping write a equation for cost in dollars and the nunber of toppings
Answer:
y= 11 + 1.50x. (y is the price, x is number of toppings)
Step-by-step explanation:
3. Find the value of x and the measure of the missing angle in the
figure below.
66°
(4x - 4)^
Answer:
7
Step-by-step explanation:
66+(4x-4)=90
66+4x-4=90
62+4x. =90
4x. =28
x. =7
It’s really easy but I don’t know the steps can someone help?
Answer:
x=0
Step-by-step explanation:
1/2(40+2x)=20
20+x=20
x=0
(I believe that s is the bisector, please correct me if I am wrong)
Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.
What is the probability the next card Ben plays will be an odd number?
343 fourths
121 half
383 eighths
14
Answer: Half
Step-by-step explanation:
solve this problem here vv:
Answer:
3
Step-by-step explanation:
Answer:
3 coefficients or answer c
Step-by-step explanation:
A coefficient is a holder of a vairable for example 5x in this equation 5 is the variable.
hope this helped brutherrr
The ratio of girls to boys is 8 girls to 4 boys.
If there are 4 girls, how many boys are there?
Answer:
4
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
Answer:
29.9
Step-by-step explanation:
29.9 rounded to the nearest 10 is 30
Which is the best estimate of the mass of a skateboard
A 3 liters
B 3 kilograms
C 30 grams
D 3 grams
can someone please help me, ill give brainliest plus points!
Answer:
9 is the correct answer all the best
Step-by-step explanation:
(x + 0.5)/6 = 19/12
2(x + 0.5) = 19 (multiply 12 on both sides)
x + 0.5 = 9.5 (divide 2 on both sides)
x = 9 (subtract 0.5 on both sides)
The answer is 9.
Graphing a linear inequality in the plane: Standard form
Answer:
attached
Step-by-step explanation:
draw line pass (-12,0) and (0,3), solution is the shaded part
Plzz help I’ll mark Brainly!!!
Help me for brainlist please
Answer:
C 80in^2
Step-by-step explanation:
Multiply 12*3*2 for the area of both sides of the H to get 72
For the middle multiply 2*4 to get 8
72+8=80
Solve the system by any method.
(3x – 4y = -5
(5x + 8y = -1
Answer:
( x , y ) = ( -1,1/2)
Step-by-step explanation:
Solve the equation for X
[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]
Substitute the given value of x into the equation 5x + 8y = -1
5(-5/3+4/3y)+8y=-1
Solve the equation for Y
y=-1/2
Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y
x=-5/3+4/3×1/2
Solve the equation for X
x=-1
The system solution is the computer pair
(x,y)=(-1,1/2)
Check if the ordered pair given to the solution of the system of equations
[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]
Simplify the equations
[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]
The ordered pair is the solution of the system of equations, since both equations are true
(x,y)=(-1,1/2)
(9x - 18)°
find the value of x
Answer:
x=2
Step-by-step explanation:
Which sentence can represent the inequality
Please help thank you
Answer:
x=25
Step-by-step explanation:
180-113=67
67-42 = 25
Find the area of the SHADED region.
Find x.
x = 4
x = 5
x = 6
Answer:
Given triangles are similar
[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]
Value of x is 6.