Answer:
The greatest common factor of 70 and 15 is 5.
Step-by-step explanation:
First, list the prime factors for each individual number
Next, circle each common prime factor. This means that you must find the prime factors that are the same as each other. For example, if it's 1 3 4 and 2 3 5, the common prime factor would be 3.
Finally, you must multiply all of the common prime factors. Your answer will be the greatest common factor!
So, the greatest common factor of 70 and 15 is 5.
Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?
NO LINKS!
Answer:
y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from homeStep-by-step explanation:
a) Let t represent the clock time (hours after midnight). The distance from home will be ...
distance = speed × time
jonah = 40(t -7)
jesse = 50(t -10)
jonah = jesse . . . . . . . same distance from home at the same time
(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)
__
b) substituting the first two equations into the second, we get ...
40(t -7) = 50(t -10)
4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses
22 = t
Jonah and Jesse will be at the same place at 10 p.m.
__
c) We can find the distance by substituting into either equation.
jonah = 40(22 -7) = 40(15) = 600
They will be 600 miles from home at that time.
PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.
Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6
Answer:
Step-by-step explanation:
general equation for a circle at the origin is
x² + y² = r²
if the circle center is (x₀, y₀), the formula is
(x - x₀)² + (y - y₀)² = r²
(x - 8)² + (y - 10)² = 36
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000
Answer:
R(x)=2x.
Step-by-step explanation:
We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by
R(x)=selling price per unit⋅x.
The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.
Using the following image, solve the problems below given that M is the midpoint of VW.
If you are using a screen-reader, please consult your instructor for assistance.Using your setup, what are the values of x, VM, MW, and VW?
The midpoint of a line segment divides the line segment into equal halves.
The value of x is 4The value of VM and MW is 15The value of VW is 30Point M is the midpoint of line segment VW.
So, we have:
[tex]VM = MW[/tex]
Substitute known values
[tex]4x - 1= 3x+3[/tex]
Collect like terms
[tex]4x - 3x = 1 + 3[/tex]
Evaluate like terms
[tex]x = 4[/tex]
Hence, the value of x is 4
The expression for VM is:
[tex]VM = 4x - 1[/tex]
So, we have:
[tex]VM = 4(4) - 1[/tex]
[tex]VM = 15[/tex]
Hence, the value of VM and MW is 15
The length of VW is the sum of both lengths.
So, we have:
[tex]VW = 15 + 15[/tex]
[tex]VW = 30[/tex]
Hence, the value of VW is 30
Read more about midpoints at
https://brainly.com/question/18315903
5-x=3
Work out the value of 3x2
Answer:
No
Step-by-step explanation:
5-X=3
X=5+3
X=8
5-8=3
Complete the table for this equation. y=x+6
Answer:
Step-by-step explanation:
What is the range of the relation below?
A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?
Find the number of meters a speed skater and a cheetah travel in 1 second.
A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.
Salaar, Waleed and Muazzam share $ 256. Waleed;s share is four times as much as Salaar. And Salaar's share is one-third of muazzam's. How much is each of their share?
Answer:
S 32, W 128, M 96
Step-by-step explanation:
W = 4S
S = 1/3M, or 3S = M
S + W + M = 256
Substitute
S + 4S + 3S = 256
8S = 256, S = 32
S = 32
W = 4S = 128
M = 3S = 96
the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost
Answer:
0.75p=c
Step-by-step explanation:
let f(x)=3x^2-6x+5 what is the leading coefficient
Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15
Answer:
A yes B No C Yes
Step-by-step explanation:
The length of the third side is greater than the difference and less than the sum of the two smallest sides.
8, 5, 7 Using the 5 and 7 the third side is > (7 - 5) and < (5 + 7)
the third side is > 2 and < 12 so 8 is OK
10, 3, 7 Use the two smallest number: 3 and 7
the third side is > (7 - 3) and < (3 + 7)
the third side is > 4 and < 10 No it is 10
9, 5, 15 Use the two smallest number 9, 5
the third side is > (9 - 5) and < (9 + 5)
the third side is > 4 and < 14 Yes
Answer:
A. 8, 5 , 7
Step-by-step explanation:
the other guy who answered gave two yes's so I chose one and A. was correct.
What is the answer to y=-2(-3/2)-9
Answer:
-6
Step-by-step explanation:
y = -2 x -3/2 - 9
3 - 9 = -6
Hey there!
y= -2 (-3/2) - 9
-2(-3/2) = [3]
y = 3 - 9
y = -6
Therefore, your answer is: y = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?
Answer:
Less than two would be one. Since there is only one of that, it would be 1/6th or 0.6666
Step-by-step explanation:
6/5 pls help as fast as possible
Answer: 6 divided by 5 is 1.2
Step-by-step explanation: I used Siri lol
Answer:
1.2 in decimal form. equivalent form-12/10. i really dont know what your asking. so i hope this is what you wanted.
Step-by-step explanation:
Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]
[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?
Help me please I don’t wanna fair math
Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
Find the value of x.
Answer:
x= 11°
Step-by-step explanation:
∠BAC= ∠ACD (alt. ∠s, AB//CD)
∠BAC= 33°
∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)
33° +2x= 5x
5x -2x= 33°
3x= 33°
x= 33° ÷3
x= 11°
_____
Alternatively,
∠ACB= 180° -5x (adj. ∠s on a str. line)
∠BCD +∠ABC= 180° (int. ∠s, AB//CD)
∠ACB +∠ACD +2x= 180°
180° -5x +33° +2x= 180°
Minus 180° on both sides:
-5x +2x +33°= 0
5x -2x= 33°
3x= 33°
x= 11°
Help help math math math
Answer:
x = 16
Step-by-step explanation:
The two marked angles are supplementary:
(7x -2) +(4x +6) = 180
11x +4 = 180
11x = 176
x = 176/11 = 16
The value of x is 16.
_____
Additional comment
The angle on the left is 110°; the one on the right is 70°, so that answer checks.
These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.
Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.
Answer: x=1 6
Step-by-step explanation:
Helppppppppppppp helppppppppppppp
Answer:
Should be the first answer, x=5
Step-by-step explanation:
This would flip the graph and the square would land on top of where it currently is.
if the telephone was invented in 1876 how old was it in 1991 how long had it been around
Answer:
115 Years Old
Step-by-step explanation:
1991-1876 = 115
Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television
Answer:
10 weeks
Step-by-step explanation:
76.55x+200.92=966.42
76.55x=966.42-200.92
76.55x=765.5
x=765.5/76.55
10
f(x) = 11 – 5x for f(9)
A.-46
B.-44
C.44
D.45
Answer:45
Step-by-step explanation: math solver
Answer:
the answer is not there. the answer is -34
Step-by-step explanation:
11-5(9) . 11-45
Divide.
1585 ÷ 25
63
6312
6325
63710
Answer:
The answer is 63 2/5
Step-by-step explanation:
Converting to mixed numbers divide 317 by 5.
5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.
The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.
Mrs. Baca uses a phone card to call a relative in Colombia, It cost her 45 cents to talk for 15 minutes. Choose True or False for each statement.
A. For 45 cents, Mrs. Baca can talk for 3 minutes. True or False.
B. The call rate is 3 cents per minute. True or False.
C. The call rate can represent by the ratio 445:15. True or False.
D. Divide 75 by 15 to find the number of minutes Mrs. Baca can talk. True or False.
Answer:
A: False
B: True
C: False
D: False
Hope This Helps!!!
Help help help math math
Answer:
It is an example of a nonlinear function.
Step-by-step explanation:
Use a graphing calculator or graph the points and try to make a line, as it will not work
Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28
Answer:
64 tea bags for 9.28
Step-by-step explanation:
Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?
The size of each area is 3x
Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.
From the given parameters.
Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)xSo, Henry's garden is said to be divided into 12 equal size areas.
∴
The size of each area is;
[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]
[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]
= 3x
Learn more about word problems in mathematics here:
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