Answer:
(x+14)+(x+3)=
Step-by-step explanation:
1. Expand my multiplying the numbers in parentheses by The GCF, (On the side of the parentheses, (7x2=14), (3x1=3), and switch those numbers with the new, expanded numbers with the old, smaller numbers (Don't forget to remove the GCF)
Elena works out on a treadmill. She uses a program that combines running and walking. She knows that she runs .2 miles and she walks . 1 miles per minute. At the end of the workout, the treadmill showed her workout distance was 8 miles Give three possible combinations of walking and running times that would result in Elena having a workout distance of 8 miles Write an equation that will relate the number of minutes Elena runs and walks to the total distance of her workout
Answer:
s = 2t₁ + t₂
3 possible combinations:
t₁ = 0 min , t₂ = 8 min
t₁ = 1 min , t₂ = 6 min
t₁ = 2 min , t₂ = 4 min
Step-by-step explanation:
The distance covered by a body in uniform motion is given by the following equation:
s = vt
where,
s = distance
v = speed
t = time
For running:
s = s₁
t = t₁
v = 2 miles/min
Therefore,
s₁ = 2t₁
For walking:
s = s₂
t = t₂
v = 1 miles/min
Therefore,
s₂ = t₂
And the total distance will be:
s = s₁ + s₂
s = 2t₁ + t₂
where,
s = total distance covered in miles
t₁ = running time in min
t₂ = walking time in min
Now, the total distance is given as 8 miles:
8 = 2t₁ + t₂
So, the 3 possible combinations of time to satisfy this equation can be:
t₁ = 0 min , t₂ = 8 min
t₁ = 1 min , t₂ = 6 min
t₁ = 2 min , t₂ = 4 min
Please help me out!
Answer:
14
Step-by-step explanation:
Frist find the square root of 49=7.
Next add 7+7=14.
Finally there is your answer 14.
Answer:Perimeter=28
Area=a^2
49=a^2
√49=√a^2
√49=a
a=7
Perimeter=4a
4(7)=28
I hope this is good enough:
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Answer:
Hi
Step-by-step explanation:
Show solving steps for x^2-10x +4=12
Answer:
Step-by-step explanation:
We are given
[tex]x^2 - 10x + 4 = 12\\[/tex]
get it all to one side equaling zero
[tex]x^2 - 10x - 8 = 0[/tex]
now, we want to find the factors of 8 that either add up to of have a difference of 10
Factors of 8:
[tex]1, 8, 2, 4[/tex]
None of the factor pairs add up to or have a difference of 10.
So, we can use the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x = \frac{10\pm\sqrt{100-4*8} }{2}\\x = \frac{10\pm\sqrt{132} }{2}\\\\\\x = \frac{10 + \sqrt{132} }{2}= 10.74456265\\x = \frac{10 - \sqrt{132} }{2} = -0.7445626465[/tex]
I need helpp! Somebody please help me ! Work is hard
1. 9.48
2. 11.1
3. 5.65
4. 26.45 or 26.4
Name the zero(s) of f (x).
Answer:
(a, 0) and (b, 0)
General Formulas and Concepts:
Alg I
Zeros of a Quadratic FunctionReading a Cartesian GraphStep-by-step explanation:
We are looking for the zeros of f(x). The blue quadratic is the graph of f(x). Zeros mean the coordinates when the graph crosses the x-axis. Therefore, our correct answer is the last choice.
pls help i dont get this and i want u to explain this pls
Answer:
$0.32/ $0.31
Step-by-step explanation:
unit prices are determined by dividing the price by the number of units, OZ in this case. $4.50÷14oz= $0.32
3.75÷12oz= $0.31
Which statement about rational numbers is not correct? *
10 points
A) All rational numbers are also integers.
B) Zero is a rational number.
C) All integers are also rational numbers.
D) All rational numbers can be written in the form a/b.
Answer:
A) is not correct
Step-by-step explanation:
All rations numbers are not integers.
Integers = { ........ -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 ....................}
1/2 is a rational number but it is not an integer
Answer:
c
Step-by-step explanation:
hope this helps:)
To find the quotient of 3 divided by 1/6 , multiply 3 by
To yield the quotient, 6 has to get multiply by 3.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
For the given situation,
The expression is the quotient of 3 divided by 1/6,
⇒ [tex]\frac{3}{\frac{1}{6} }[/tex]
⇒ [tex](3)(6)[/tex]
Thus multiply 3 by 6 yields the quotient.
Hence we can conclude that to yield the quotient, 6 has to get multiply by 3.
Learn more about simplification of an expression here
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How many of each item did
Madeline sell? Show your work.
Answer:
X= 120 Y=80
Step-by-step explanation:
Small mistake look at picture
the slope of 4 and line passes through the point (-3, 1)
I need the answer please and thank u!!!!
Answer:
x=55
Step-by-step explanation:
Ok I'm not sure about the theorem I thought it was just corresponding angles theorem but to get the x value set up an equation with your given info that is equal to 120.
2x+10=120
Subtract 10 from both sides.
2x=110
Divide both sides by 2.
x=55
how do i rewrite 14/32 to make it the simplist
Answer:
You would need to divide "14/32" by 2, since 2 in this problem is your "gcf" so:
14 / 2 = 7
32 / 2 = 16
So, it's 7/16.
Answer:
[tex]\frac{14}{32}[/tex] in its simplest form would be [tex]\frac{7}{16}[/tex]
Step-by-step explanation:
[tex]\mathrm{Find\:a\:common\:factor\:of\:}14\mathrm{\:and\:}32\mathrm{\:in\:order\:to\:cancel\:it\:out}\:[/tex] [tex]: 2[/tex]
[tex]\mathrm{Factor\:out\:}2\mathrm{\:from\:the\:numerator\:and\:the\:denominator}\\14=2\cdot \:7\mathrm{,\:\quad }32=2\cdot \:16\\=\frac{2\cdot \:7}{2\cdot \:16}\\[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{7}{16}\\\\[/tex]
hope this helps :)
The height h, in feet, of objects such as thrown balls can be modeled as a function of time t, in seconds, as h(t)=−16t2+v0t+h0, where the initial upward velocity is v0, in feet per second, and the initial height is h0, in feet. Marla and Kerry are practicing lacrosse tosses. Marla throws a ball from a height of 6 feet with an initial vertical velocity of 40 feet per second. At the same instant, Kerry throws a ball from a height of 5 feet with an initial vertical velocity of 50 feet per second. Which ball is in the air longer and by how many seconds more?
Answer:
Kerry's ball stays longer in the air than Marias ball by an extra 0.582 seconds
Step-by-step explanation:
The equation that models the height, h, in feet of object thrown modeled as a time function is given as follows;
h(t) = -16t² + v₀·t + h₀
Where;
v₀ = The velocity upwards (vertical velocity)
h₀ = The initial height of the object in feet
The given parameters are;
The initial height from which Maria throws a ball = 6 feet
The initial vertical velocity with which Maria throws the ball = 40 feet per second
The initial height from which Kerry throws a ball = 5 feet
The initial vertical velocity with which Kerry throws the ball = 50 feet per second
For Maria, from the equation for the height of the object, we have;
h(t) = -16t² + v₀·t + h₀
Where for Maria, we have;
h₀ = 6 feet
v₀ = 40 ft/s
Substituting gives;
h(t) = -16 × t² + 40 × t + 6 = -16·t² + 40·t + 6
h(t) = -16·t² + 40·t + 6
The time it takes for the ball to go up and come back down again is given by the value of t, when h = 0 (ground level) as follows;
0 = -16·t² + 40·t + 6
16·t² - 40·t - 6 = 0
From the quadratic formula, we have
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
[tex]t = \dfrac{40\pm \sqrt{(-40)^{2}-4\times 16 \times (-6)}}{2\times 16} = \dfrac{40 \pm 8 \times \sqrt{31} }{32} = \dfrac{5}{4} \pm \dfrac{\sqrt{31} }{4}[/tex]
t ≈ 2.64 s or -0.14 s
Therefore, the time the ball spends in the air ≈ 2.64 s
For Kerry, we have;
h₀ = 5 feet
v₀ = 50 ft/s
Substituting gives;
h(t) = -16 × t² + 50 × t + 5 = -16·t² + 50·t + 5
h(t) = -16·t² + 50·t + 5
Which gives;
16·t² - 50·t - 5 = 0
From the quadratic formula, we have
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
[tex]t = \dfrac{50\pm \sqrt{(-50)^{2}-4\times 16 \times (-5)}}{2\times 16} = \dfrac{50 \pm 2 \times \sqrt{705} }{32} = \dfrac{25}{16} \pm \dfrac{\sqrt{705} }{16}[/tex]
t ≈ 3.222 s or -0.097 s
he time the ball spends in the air ≈ 3.222 s
Therefore, Kerry's ball that spends approximately 3.222 seconds stays longer in the air than Maria's ball that spends approximately 2.64 seconds in the air.
The difference in the two time duration is 3.222 - 2.64 = 0.582
Kerry's ball stays longer in the air than Marias ball by an extra 0.582 seconds.
find y and the relationship
Answer:
A. The measure of 6 and 3 are supplementary angles since their angle measurements add up to 180.
B.
(8y+12) + (2y+48)=180
10y+60=180
10y=120
y=12
Step-by-step explanation:
Can Someone Please Help Me.
Answer:
I believe they are 5 and 7
Step-by-step explanation:
Answer:
5 and 7
Step-by-step explanation:
those numbers are used with the variable 5x and 7x
what is the parallel slope intercept form??
What is the slope of a line that is parallel to y=4/7x-2
Two lines are parallel if the have the same slope. To find the slope of the line parallel to the line y=4/7x-2 we need to get the line into slope-intercept form (y = mx + b), but the line is already in that form, so the slope is m = 4/7.
Because two lines are parallel if the have the same slope, we concluded that the slope of the parallel to y=4/7x-2 is m = 4/7.
I need help w this soon
Answer:
18
Step-by-step explanation:
Answer:
18 because it's asking for the tw
Help will give brainliest!!
A photographer charges
$
45.50
per hour. How much does the photographer charge for
5
hours of work?
Answer:
$227.50
Step-by-step explanation:
45.50*5=227.50
Answer:
45.50 times 5=227.5
Step-by-step explanation:
Does any one have an idea ?
Answer:
of what? ohhh ok
Step-by-step explanation:
yeah
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (5 points)
3.46 units
8.49 units
12.00 units
72.00 units
Please ill give brainliest!
Answer: 8.49
Step-by-step explanation:
i took the test and it was right
Find the equation of the line that passes through the points (8,-5) and (4,3)
A. 2x + y = 11
B. x + y = -11
C. 5x + 8y = 4
D. 8x - 5y = 3
y=a(x - h)^2+k
standard form: y= - 1/2x^2+4x-5
vertex form: y= -1/2(x - 4)^2+3
slope m and y-intercept b
slope: -2
y-intercept:(0,11)
so the answer is A. your welcome
US $1.00=EC $2.70
TT $1.00=EC $EC $0.40
calculate the value of
Ec $80 in EC in TT
US $80 in EC
TT $648 in US
Answer:
US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$
Step-by-step explanation:
that what i've got i hope that's helps you
Match the two numbers with their least common multiple (LCM).
8 and 4 = [?] (what it says) 8, 40, 24
8 and 4 = [?] (what it says) 8, 40, 24
8 and 10 = [?] (what it says) 8, 40, 24
Answer:
8 and 4 = 8
8 and 10 = 40
Step-by-step explanation:
The least common multiple is the smallest value that both numbers equal when you look at their multiples.
The multiples of 8 are 8, 16, 24, 32, 40...
The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32...
The multiples of 10 are 10, 20, 30, 40...
The first multiple 8 and 4 have in common is 8.
The first multiple 8 and 10 have in common is 40.
Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers.
The slope of the function is $1.00.
The y-intercept of the function is $60.
The function can be represented by the equation y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60.
The domain is all real numbers.
The range is {y| y ≥ 60}.
The answers are :
a) The value of c or y - intercept is $60.
b) The domain is all real numbers.
c) The range will be equal to {y | y ≥ 60}.
What is the function ?
A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.
It is given that :
Yearly cost in dollars = y
Number of game tokens purchased for a member of the arcade = x
We know that :
The function is represented by equation :
y = [tex]\frac{x}{10}[/tex] + 60
Comparing it with the general equation we get :
Slope (m) = [tex]\frac{1}{10}[/tex]
and y - intercept (c) = $60
Now , when x = 0 then :
y = [tex]\frac{1}{10}[/tex] × 0 + 60
y = 0 + 60
y = $ 60
The domain is x ≥ 0. The domain will be all real numbers.
and y ≥ 60
The range will be :
{y | y ≥ 60}
Therefore , the answers are :
a) The value of c or y - intercept is $60.
b) The domain is all real numbers.
c) The range will be equal to {y | y ≥ 60}.
Learn more about functions here :
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The answers are
-The y-intercept of the function is $60
-The function can be represented by the equation y=1/10x+60
and
-The range is {y| y>60}.
PLEASE HELP!!!
The value of a car decreases by 20 percent per year. Mr. Sing purchases $22,000 automobile. What is the value of the car at the end of the second year?
A)14,080
B)17,600
C)19,800
D)26,400
Answer:
A)
Step-by-step explanation:
Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe reached his conclusion?
o dividing each term in the first expression by 3
O combining like terms in the first expression and dividing each term by 3
O combining like terms in the first expression and dividing each term by 5
O subtracting 2. and applying the distributive property to the first expression
Answer:
c
Step-by-step explanation:
Solve:
r/5- 6
= -1
My Answer:
Answer:
r = 25
Step-by-step explanation:
r/5 = 5
5 x r/5 = 5 x 5
r = 25
Answer:
r=25
Step-by-step explanation:
r/5-6+6= -1+6
r/5=5
r/5×5=5×5
r=25