Answer:
7.2315656
Step-by-step explanation:
Let's agree that 2.5 miles : 18 minutes is the ratio between the amount of distance and the amount of time spent running. If we spent 2x as many minutes running, Shelly would run 5 miles. In the same context, let's find the amount of distance covered in 18 minutes.
18 × (60/18) = 60
We multiply 60/18 because 60/18 = 60 × (1/18), and the (1/18) cancels with the 18 so we are left with the numerator, 60.
2.5 : 18
Now, we have to multiply 60/18 on both sides!
2.5 × (60/18) : 18 × (60/18) = 60
2.5 × (60/18) = 8 and 1/3 miles
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -1/2x + 3/7
Point (-1, 0)
Step 2: Find parallel line
Parallel lines have the same slope as the original but different y-intercepts.
m = -1/2
y = -1/2x + b
0 = -1/2(-1) + b
0 = 1/2 + b
b = -1/2
Step 3: Write parallel line
y = -1/2x - 1/2
4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=
Answer:
x=5
Step-by-step explanation:
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.
Hope this helps!
The solution is: The value of x is: x=5
Here, we have,
given that,
the expression is: 4x - 8 = 12
we get,
4x - 8 = 12
or, 4x - 8 + 8 = 12 + 8
or, 4x = 20
now, we have,
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.
i.e. 4x/4 = 20/4
or, x = 5
Also, if replace x with 5 within any of the equations it works.
Hence, The solution is: The value of x is: x=5
To learn more on Expression click:
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Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2
Answer:
4x^2+8x-5
Step-by-step explanation:
You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5
1. Multiply (3)(−4)(2). (5 points)
Answer:
-24
Step-by-step explanation:
Answer-24
Step-by-step explanation:
3 x -4 x 2
6 x -4 =
-24
Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°
Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
Bob owed S225 on his store credit card. Ile made a payment of S75. Ilow much does Bob owe on his credit card? 0 -150 O 150 O 300 -300
Help me pleasee !
The answer is -300 because he owes -225 and then when he spends they subtract the amount he spent so the equation would be -225-75= the answer of -300
HIJ is equal to STR What is the perimeter of STR?
Answer:
Do you have a picture to show ?
Asking for the answer to this algebra problem please! Tysm!
Answer:
b
Step-by-step explanation:
i did the math
A ticket to see your favorite baseball team costs $30.08. That price decreases by $0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 games?
Given :
A ticket to see your favorite baseball team costs $30.08.
That price decreases by $0.42 for every game lost during the regular season.
To Find :
What equation could you use to find the cost C of a ticket after L losses.
Solution :
Let, n is number of match loses and P is the price of ticket.
So, equation is given by :
P = 30.08 - (0.42)n .......1)
Putting n = 27 in above equation,we get :
P = 30.08 - ( 0.42 )( 27 )
P = $18.74
Therefore, the price of a ticket after the team loses 27 games is $18.74 .
Hence, this is the required solution.
Which of the following is an example of direct variation?
y= cx
xy = c
y = czx
y= cx/z
Answer: Choice A) y = cx
The 'c' is the constant of variation
For example, if c = 2, then y = 2x is a direct variation. Whatever x is, we double it to get y. As x increases, so does y. As x decreases, then so does y. Both x and y increase/decrease together.
Direct variation equations always go through the origin, and they are always linear. The 'c' plays the role of the slope. You can think of y = cx as y = mx+b where b = 0 in this case and c = m.
PLEASE HURRYYYY
find three points that solve the equation x- 4y=-18
Answer:
one of the three plots is (-2,4)
Step-by-step explanation:
Which one is the right answer?
Answer:
angle 2 is 35 degrees
angle 3 is 55 degrees
Answer:
(below)
Step-by-step explanation:
since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees
1 is a right angle. so, m of angle 1 = 90 degrees
if all interior angle of a triangle add up to 180, angle 2 must equal 35
In the function f(x) = 3x + 2, f(5)
A. 15
B. 16
C. 17
D. 19
Answer:
C. 17
Step-by-step explanation:
3 times 5 is 15 , then you add 15 plus two which equals 17.
Answer:
C. 17
Step-by-step explanation:
In the equation f(5)=3x+2, you substitute 5 for x.
Which makes the equation f(5)=3(5)+2
Simplified f(5)=17 after you multiply 3(5) and add 2.
Hope this helps!
Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2
Answer:
y=-2x-13
Step-by-step explanation:
y=mx+b
3=-2(-8)+b
3=16+b
3-16=b
-13=b
can someone PLEASE answer this
the correct answer is the last one. hope this helped
Answer:
y = 3x+1
Step-by-step explanation:
Slope:
Change in y = 6
Change in x = 2
6/2=3
Y intercept:
when x is 0 y is 1, so the y intercept is 1
therefore the answer is y = 3x+1
19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?
Answer:
0.24$
Step-by-step explanation:
Each egg costs 1/12 of 2.88.
So either you multiply 2.88 by 1/12
or you divde 2.88 by 12
Answer:
0.24
Step-by-step explanation:
you would divide 2.88 by 12 hope this helps.
what is pi? will mark brainliest!!
Answer:
Short answer: 3.14 Long answer: First 1000 decimal places
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989
Step-by-step explanation:
Answer:
The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
Gcf of 16abc^2, 28abc
Answer:
4abc..............................
I need help with this please!!
Answer:
The correct choices would be A, C, D & F. Correct me if I'm wrong :)
m² - 9m +8
(Factoring)
show steps
Answer:
I really dont know sorry love <3
Step-by-step explanation:
4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.
Answer:
3x - 2y = - 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 2y = 12 ( subtract 3x from both sides )
- 2y = - 3x + 12 ( divide all terms by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form
Multiply through by 2
2y = 3x + 28 ( subtract 2y from both sides )
0 = 3x - 2y + 28 ( subtract 28 from both sides )
- 28 = 3x - 2y , that is
3x - 2y = - 28 ← equation in standard form
Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW
X= -2
Explanation: the photos are in order :)
Answer:
x = -2
Step-by-step explanation:
3/5 +3/10x = 4/5 + 2/5x
Step 1. Change every fraction into the same denominator
6/10 + 3/10 x = 8/10 + 4/10x
Step 2. Subtract 3/10x
6/10 = 8/10 + 1/10x
Step 3. Subtract 8/10
-2/10 = 1/10x
x = -2
Which equation has no solutions?
1. 2(x + 3) = 3(2x + 2)
2. -x + 3 + 5x = 4x + 3
3. 2(2x – 10) + 32 = 4(x+3)
4. 3(5x + 4) – 20 = 15x -4
Answer:
4. 3(5x+4)-20=15x-4 has no solution
Step-by-step explanation:
3(5x+4)-20 = 15x - 4
15x-8=15x-4
15x = 15x+4
0=4
No Solution
Answer:
3(5x + 4) – 20 = 15x -4
Step-by-step explanation:
2x + 6 = 6x + 6 One solution 4x = 0
4x + 3 = 4x + 3 infinite solutions
4x + 12 = 4x + 12 infinite solutions
15x - 8 = 15x - 4 no solutions -8 ≠ -4
I solved the problems ahead of time if you need the work tell me.
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. Note that we have variables on both sides of the equation.
A local supermarket sells shrimp $9.49/lb and beef for $5.99/lb Todd buys s pounds of shrimp and b pounds of beef. Which of the following inequalities represents that Sandy only has $65 to spend?
Answer: 9.49s + 5.99b ≤ 65
Plz mark brainliest:)
Hank draws a line with a zero slope through the points
(–2, 4) and (3, b). Which value of b could represent Hank’s second point?
–3
–1
4
9
Answer:
It's 4
Step-by-step explanation:
Answer:
The answer is C which is 4
Step-by-step explanation:
I just took the test and got it right
Hopefully this helps you
pls mark brainlest
Please help ASAP
Drag and drop the numbers into the correct locations
Answer:
first box: -1
second box: √-1
Step-by-step explanation:
the imaginary number equals √-1 and when you square it, the roots would go away, leaving you with -1.
11) What is the y-intercept of the function that passes through the given
coordinates: f(12)=2 and f(15)=3,
Answer:
The y-intercept is -2
Step-by-step explanation:
Here, we want to find the y-intercept of the function that passes through the given points
The first thing to do here is to get the coordinates of the needed point;
That would be ; (12,2) and (15,3)
It is just like writing f(x) = a ; x would
be x-value while a will be the y-value
The equation of the line passing through the points will be
y = mx + b
where b represents the y-intercept
Let us start by looking at the slope m
m = (y2-y1)/(x2-x1)
m = (3-2)/(15-12) = 1/3
So the line would be;
y = x/3 + b
now to get b, select any of the points, input the x value and the y value
2 = 12/3 + b
2 = 4 + b
b = 2-4
b = -2
(3^8 ⋅ 2^−5 ⋅ 9^0)^−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 3^28
Answer:
I agree with the first answer.
Step-by-step explanation:
Answer:
(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 ((38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (
Step-by-step explanation:
1. A tortoise is running on a long, moving sidewalk. Her pedometer doesn't report her speed, but she knows that—since she got on—she's been running for 40 minutes and that she's traveled 3 kilometers. Unfortunately, she realizes she left her suitcase on the ground just before she got on the sidewalk. Since she's too short to climb over the handrails, she decides to turn around and run at the same speed back to her suitcase. If it takes her 2 hours to return to her suitcase, how fast (in kilometers per hour) was the moving sidewalk moving? How fast (in kilometers per hour) was the tortoise running?
Answer:
the sidewalk speed q = 3km/hr
the tortoise speed p is 1.5 km/hr
Step-by-step explanation:
From the given information:
let the speed of the tortoise be p & the speed of the sidewalk be q
she's been running for 40 minutes (40/60 = 2/3) and that she's travelled 3 kilometres
Thus,
p + q = [tex]\dfrac{3}{\dfrac{2}{3}}[/tex]
p + q = 9/2
p + q = 4.5 ----- (1)
when returning, she travelled 3km in 2 hours
i.e. -p + q = 3/2
-p + q = 1.5 ----- (2)
Thus, by using the elimination method for equation (1) and (2)
p + q = 4.5 ----- (1)
-p + q = 1.5 ----- (2)
2q = 6
q = 6/2
q = 3 km/hr
From equation (1)
p + q = 4.5
p + 3 = 4.5
p = 4.5 - 3
p = 1.5 km/hr
Therefore, the sidewalk speed q = 3km/hr and the tortoise speed p is 1.5 km/hr
at a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .
Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?
Answer: y=8x-2
Step-by-step explanation
Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2
Answer:
Step-by-step explanation:
y=8x-2