Answer:
x = 2
y = 1
Step-by-step explanation:
Samuel runs around a 1-mile track in 10 minutes, and Sophia runs around the same track in
10 minutes. Assuming they continue running at their respective speeds, how many total
miles will they run in 35 minutes? Express your answer as a mixed number.
Answer:
3.5 miles
Step-by-step explanation:
Step one:
given data
Samuel runs around a 1-mile track in 10 minutes
Samuel's speed is
speed= distance/time
speed= 1/10= 0.1 miles per minute
Sophia runs around the same track in 10 minutes
Hence Sophia's speed is also = 0.1 miles per minute
Step two:
Given that the time is 35 minutes, and their speeds are 0.1 miles per minute, we can find the distance from
speed= distance/time
distance= speed*time
distance= 0.1*35
distance= 3.5 miles
What does "solution" mean?
What does it mean for a point to be a solution to a linear
equation?
For example, if I say, " (2,5) is a solution to the
equation y = 2x + 3," how could you check my claim?
Answer:
A solution to a linear equation means that the ordered pair is a point that lies on that line.
If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.
In this case,
y= 2(2)+3
y=7
(2,5) is not a solution.
Brian goes to school 6 hours per day, works 4 hours per day , and sleeps for 9 hours per day. What is the ratios of hours brain sleeps
Answer:
6:4:9
Step-by-step explanation:
Answer:
6:4:9 Yw
Step-by-step explanation:
3,500 divided by what =70
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3500 ÷ 70 = 50
3500 ÷ 50 = 70
Solve x and y 3x-4y=18,9x-2y=12
Answer:
3x-4y=18
1xy=18
xy=18 ans
Answer:
X=2/5
Y=-21/5
Step-by-step explanation:
solve your system by substitution.
3x−4y=18;9x−2y=12
Step: Solve3x−4y=18for x:
3x−4y=18
3x−4y+4y=18+4y(Add 4y to both sides)
3x=4y+18
3x/3=4y+18/3
(Divide both sides by 3)
x=4/3y+6
Step: Substitute 4/3y+6 for x in 9x −2y=12:
9(4/3y+6)−2y=12
10y+54=12(Simplify both sides of the equation)
10y+54+−54=12+−54(Add -54 to both sides)
10y=−42
10y/10=-42/10 . (Divide both sides by 10)
y=-21/5
Step: Substitute
21/5 fory in x= 4/3y+6
x= 4/3y (-21/5) +6
X=2/5 (Simplify both sides of the equation)
Answer:
X=2/5
Y=-21/5
HAVE A NICE DAY!!!!!
Find the slope of the line that goes through the given points.
(9,6) and (6, -3)
Answer:
3Step-by-step explanation:
Slope of a line is expressed as;
m = y2-y1/x2-x1
m = -3-6/6-9
m = -9/-3
m = 3
Hence the slope of the line passing through the points is 3
You've gone to fruit stand to get some fresh produce. You
notice that the person in front of you gets 5 apples and 4 oranges
for 10 dollars. You get 5 apples and 5 oranges for 11 dollars.
Create a system of equations that represents this situation.
Step-by-step explanation:
Let $x be the price of an apple and $y be the price of an orange.
5x + 4y = 10
5x + 5y = 11
btw the solution is
y = 1
x = 6/5
Angle Relationships
Answer:
In Geometry, there are five fundamental angle pair relationships:
Complementary Angles.
Supplementary Angles.
Adjacent Angles.
Linear Pair.
Vertical Angles.
The measure of the angle u and angle t will be 29 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angle u is congruent to angle t.
From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,
∠t + ∠u + 122° = 180°
∠t + ∠t = 58°
2∠t = 58°
∠t = 29°
The measure of the angle u and angle t will be 29 degrees.
More about the angled link is given below.
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plz help me with this page ill give brainilest
Answer:
1. 5,570
2. 7,430 - 3,870 =3560
3. 0
4.15
5. 6/8 7/8
6. >
7.not equal
8.520,685
9.5
10. a-3210 b-2346
1. 6,790
2. b , c , e
3. 2
4. 3
5. 1
6.B
7. A-3 B-2
8. 7/13
9. 3/8
10. 543
PLEASE HELP DUE IN 20 MINUTES!!!! I will give brainliest for first correct answer
A Jaguar XJ220 is 41 mph slower than a Bugatti Veyron, which can travel 253 mph. How fast does the Jaguar XJ220 travel? How would you write this as an equation with a variable in the middle for the missing number?
Answer:
212 miles per hour
Step-by-step explanation:
253 - 41 = 212
Ben wants to buy a baseball cap that cost $24.50. The state sales tax is 8%, or 0.08. How much will he pay in sales tax
Answer:
the answer shouuld be $1.96
Step-by-step explanation:
24.50x.08= 1.96
Answer:
1.96 in sales tax
Step-by-step explanation:
to get percent of a number just multiply the percent in decimal form by the number for example 8% --> .08
Suppose that the functions r and s are defined for all real numbers x as follows.
Answer:
a) ( r+ s) (x) = 3 x + 9
b) ( r . s ) (x) = 2 x² + 13 x +20
c) ( r- s) (x) = -1 -x
Step-by-step explanation:
Step(i):-
Given that r(x) = x +4 and s(x) = 2x + 5
a) ( r+ s) (x) = r(x) + s(x)
= x +4 + 2x +5
= 3 x + 9
( r+ s) (x) = 3 x + 9
b)
( r . s ) (x) = r(x) . s(x)
= (x+4) . ( 2x +5)
= x ( 2x +5) + 4( 2x +5)
= 2 x² + 5 x + 8 x +20
= 2 x² + 13 x +20
( r . s ) (x) = 2 x² + 13 x +20
c)
( r- s) (x) = r(x) - s(x)
= (x+4 - ( 2x +5)
= x +4 - 2x -5
= -x -1
( r- s) (x) = -1 -x
5x -3x + 19 = 2x - 10
Answer: x = 7.25
Explanation:
0.002 inches
0.202 inches
0.022 inches
0.02 inches
Which of the following shows these amounts in order from LEAST to GREATEST?
Answer:
0.0202
0.022
0.02
0.002
Step-by-step explanation: I am 5 million iq brainlist pls
10k - 60 = 180
solve for k
Answer:
K=24
Step-by-step explanation:
Add 60 on both sides
10k=240
Now divide 10 on both sides
240/10=24
10/10k=k
k=24
Select TWO expressions that contain a coefficient of 4.
a. 6y+4−5×8
b.4+2w÷6+2
c.4r+9
d.2+4z
Answer:
Step-by-step explanation:
D
The cost of renting a motorcycle for a day is $0.65 per mile plus a $105 flat fee.
(a) Write an equation to represent this relationship. Let x be the number of miles
driven and y be the total cost for the day.
(b) What does the graph of this equation form on a coordinate plane? Explain.
(c) What is the slope and the y-intercept of the graph of the relationship? Explain.
please help!!
Answer:A) Y = 0.65x + 105
B) An Increasing Slope
C) Slope = 0.65 Y-Intercept = 105
Hope this helps you!
Step-by-step explanation:
y = (x - 2)2 + 3
Identify the vertex of the parabola
9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).
PLEASE HELP
Decide whether or not the equation has a circle as its graph. If it does, give the center
and the radius. If it does not, describe the graph.
x2 + y2 + 6x + 4y + 9 = 0
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The graph of the equation is a point.
B. The graph of the equation is a line.
C. The graph of the equation is a circle with center
The radius of the circle is
D. The graph is nonexistent.
(Type an ordered pair.)
Answer:
yes, it's a circle
center at (-3, -2)
radius is 2 units
Step-by-step explanation:
Select the correct answer. log(2x-100) = 3
What is the solution to this equation?
Answer:
550
Step-by-step explanation:
Rewrite in exponential form:
10^3=2x-100
Solve for x:
1000= 2x-100
2x=1100
x=550
The solution to this equation is x =550
What is logarithm?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Given
Rewrite in exponential form:
10³=2x-100
Solve for x:
1000= 2x-100
2x=1100
x=550
To know more about logarithm refer to :
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Corresponding angles are
A. Complementary
B.Equal
C. Supplementary
Answer:
equal
Step-by-step explanation:
When the two lines are parallel Corresponding Angles are equal
please help me i really need help please help me please
Answer:
pluto
Step-by-step explanation:
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5. How much more did you pay THIS week
Answer:
You paid $3.31 more
Step-by-step explanation:
Taking $5 and subtracting it with 1.69 you get 3.31
Hope this helped have a great day
Answer:
The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week. We pay $0.44 less this week. This week cost of 4 bottles is $5.
solve for sin3theta
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
Step(i):-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
sin ( A + B) = sin A cos B + cos A sin B
sin 2 A = 2 sin A cos B
Cos 2 A = 1 - 2 sin² A
cos ² A - sin ² A = 1
Step(ii):-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
Final answer :-
sin 3 θ = 3 sin θ - 4 sin³θ
Find the area of the composite figure.
Please help me!!
Answer:
1,824 sq inches
Step-by-step explanation:
area of rectangle: 48 x 32 = 1536
area of triangle: (48 x 12) / 2 = 288
A herd of buffalo began with a population of 100,000. The average birth rate has been 25% per year, but the death rate has been 48% per year. What is the difference between the birth rate and death rate?
Answer:
23
Step-by-step explanation:
cuz i know stuff (its simple subtraction)
Find the 63rd term of the arithmetic sequence
2
,
9
,
16
,
.
.
.
2,9,16,
Answer:
443
Step-by-step explanation:
this can be put into the linear equation y = 7x + 2
substitute 63 for x
y = 7(63) + 2
simplify
y = 441 + 2
y = 443
the 63rd term is 443
hope this helps <3
this due tomorrow please help!!!!
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How
much is his classmate's daily allowance?
5. Carla, a grade six pupil
, has 24 sheets of art paper for his project in Math. If 6
sheets of art paper were used by Carla, what percent of the sheets of art paper
did she use?
Answer:
4. His classmate's daily allowance is of P100.
5. She used 25% of the sheets of art paper.
Step-by-step explanation:
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How much is his classmate's daily allowance?
An allowance of P10 a day is 20% of his classmate's allowance, that is, 20% of x. So
[tex]0.2x = 20[/tex]
[tex]x = \frac{20}{0.2}[/tex]
[tex]x = 100[/tex]
His classmate's daily allowance is of P100.
5. Carla, a grade six pupil , has 24 sheets of art paper for his project in Math. If 6 sheets of art paper were used by Carla, what percent of the sheets of art paper did she use?
She used 6 sheets, of the 24. So
[tex]P = \frac{6*100}{24} = \frac{100}{4} = 25[/tex]
She used 25% of the sheets of art paper.
I will give brainiest to whoever answers correctly !! can someone smart help me out !!
Answer: Im pretty sure part A is 133$
Step-by-step explanation: