Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?
Answer:
380 days
Step-by-step explanation:
38 × 1 = 38 38 × 6 = 228
38 × 2 = 76 38 × 7 = 266
38 × 3 = 114 38 × 8 = 304
38 × 4 = 152 38 × 9 = 342
38 × 5 = 190 38 × 10 = 380
20 × 1 = 20 20 × 6 = 120
20 × 2 = 40 20 × 7 = 140
20 × 3 = 60 20 × 8 = 160
20 × 4 = 80 20 × 9 = 180
20 × 5 = 100 20 × 10 = 200
20 x 10 = 200 20 x 20 = 400
so 20 x 19 = 380
First common number in both times table is 380
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
You earn
$10 per hour working as a manager at a grocery store.
You are required to work at the grocery store at least
8 hours per week. You also teach music lessons for
$15 per hour. You need to earn at least $120 per week,
$
do not want to work more than 20 hours
but you
per week.
a. Write and graph a system of linear inequalities
that represents the situation.
b. Identify and interpret a solution of the system.
c. Use the graph to determine whether you can work
8 hours at the grocery store and teach 1 hour of
music lessons.
We want to get a system of inequalities that models the given situation.
The solutions are:
a) The system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0And the graph can be seen at the end.
b) A solution can be x = 12 and y = 2
c) x = 8 and y = 1 is not a solution.
First, we need to define two variables:
x = number of hours working as a manager.y = number of hours teaching lessons.a) First, we know that you must at least 8 hours per week in the grocery store, then:
x ≥ 8
We know that you need to earn at least $120 per week, then we have the inequality:
x*$10 + y*$15 ≥ $120
And you don't want to work more than 20 hours per week, this gives:
x + y ≤ 20.
We also add the trivial restriction:
y ≥ 0
Then the system is:
x ≥ 8x*$10 + y*$15 ≥ $120x + y ≤ 20.y ≥ 0The graph can be seen at the end.
b) The solution region is the interception of the four shaded regions (is the dark blue part).
A solution in that region can be:
x = 12
y = 2
c) The point x = 8, y = 1 is graphed, you can see that it is outside the solution region, thus, this is not a solution.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/2065712
Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:
Amanda
[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)
Where:
[tex]x_{R}[/tex] - Running distance, in miles.[tex]x_{S}[/tex] - Swimming distance, in miles.[tex]x_{C}[/tex] - Cycling distance, in miles. [tex]v_{A,R}[/tex] - Speed of Amanda in the running distance, in miles per hour.[tex]v_{A,S}[/tex] - Speed of Amanda in the swimming distance, in miles per hour.[tex]v_{A,C}[/tex] - Speed of Amanda in the cycling distance, in miles per hour.[tex]t_{A}[/tex] - Total time of Amanda, in hours.Bryce
[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)
Where:
[tex]v_{B,R}[/tex] - Speed of Bryce in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Bryce in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Bryce in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Bryce, in hours.Corey
[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)
Where:
[tex]v_{B,R}[/tex] - Speed of Corey in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Corey in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Corey in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Corey, in hours.If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:
[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)
[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)
[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)
[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
We kindly invite to check this question on systems of linear equations: https://brainly.com/question/20379472
Someone please help me. I will give Brainliest. No links, please.
Answer:
SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent
two sets of congruent sides, a set of congruent angles between the sides
ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent
two sets of congruent angles, a set of congruent sides between the angles
AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent
two sets of congruent corresponding angles, a pair of congruent sides next to the angles
HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.
two congruent hypotenuses and two congruent legs of a right triangle
Step-by-step explanation:
Please arrange these numbers in descending order for me
7.23, 7.32, 7.3, 73
Answer:
73
7.32
7.23
7.3
hope this helps☆☆
Identify the like terms of 3x, choose all that apply:
Answer:
-2x, x, 5x
Step-by-step explanation:
Answer:
5x-2xxStep-by-step explanation:
Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.
3xy
It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".
3
This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.
7y
Seven has a y, which is different from an x.
Help me pls
Find angle fgh
Answer:
116
Step-by-step explanation:
Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:
[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]
Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]
Answer:
Angle fgh=116
Step-by-step explanation:
Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:
(2x+20)=(5x-37)
Now we set the equations equal to each other to solve for x
-3x=-57
Divide the -3 by both sides
x=19
Now we have to plug the x into the equations
2(19)+20 and 5(19)-37
Our answer is 58 for both equations
Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.
SO our final answer is 116
(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.
Answer:
32.24
Step-by-step explanation:
please help. file is uploaded.
Answer:
9 + 4 = $13, Ms. Brown has 10 dollars which is not enough to pay for both Cranberry and Granola.
Step-by-step explanation:
Alright, so Cranberry is 3.25 per pound, and Granola is 2.19 per pound.
(2.9 and 1.75 is how many pounds of both Cranberry and Granola she wants.)
2.9 × 3.25 = 9.4
1.75 × 2.19 = 3.8
So when rounding, 9.4 would be rounded to 9. Then 3.8 would be rounded to 4. So no, Ms. Brown doesn't have enough to pay for both. 9 + 4 = $13
Have a good day friend! :D
Answer:
Let us use the variable "x" to represent the cost per Ib for each mix.
Cranberry: x = 2.9
Granola: x = 1.75
Ms.Brown buys 1.75 pounds of granola and 2.9 pounds of cranberry. Since the cost per pounds represent x, we can write the follow:
[tex]2.19(1.75)+3.25(2.9)[/tex]
[tex]3.83 + 9.42 = 13. 25[/tex]
Round to nearest cent,
Total Cost= $13
Since it is given that Ms.Brown has a $10 budget, she won't have enough for the purchase. She'll need $3 more.
round 6,311 to the nearest thousand
Answer:
6,000
Step-by-step explanation:
5x-3y=30
7x-3y=36
elimantion method
Answer:
x = 3 and y = -5
Step-by-step explanation:
[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]
Leah bought 3/4 pound of trail mix to make snack bags. She put 1/8 pound of trail mix into each snack bag. Which expression can be used to find how many snack bags Leah made? (Show work and simplify pls)
Answer:
3/4 ÷ 1/8 = 6
Step-by-step explanation:
first you would have to figure out how to make them even factors.
6/8 ÷ 1/8
Then you would divide, and get 6.
Find the measure of angle b.
51
39
129
141
Answer:
b = 39
Step-by-step explanation:
To complete the full circle would need 360°
So, the equation is:
b + 28 + 293 = 360
b + 321 = 360
b = 360 - 321
b = 39
HELP ASAP
Find the slope from the following points.
(-2, 12) (4, -6)
Answer:
-3
Step-by-step explanation:
Slope formula
Please Help I will give 82 Points and Brainliest
What is the value of 2m² + 12 when m = 3?
A. 24
B. 30
C. 37
D. 38
Answer:
B. 30
Step-by-step explanation:
2m^2 + 12
m = 3
2(3)^2 + 12
3 squared is 9
2(9) + 12
2 times 9 is 18
18 + 12 = 30
2m^2 + 12 = 30
So we subtitute 3 to any "m" in your problem so,
2m^2+12
2(3)^2+12
2(9)+12
18+12
30
So, B is the correct answer!
Amir posts a video trailer
Step-by-step explanation:
He gets five positive reviews
Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and n. packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?
Answer:
16.50
Step-by-step explanation:
2.50 + 3(3) + 2(3.50) = 2.50 + 9 + 5 = 16.50
Answer:
2
Step-by-step explanation:
One thing on flour costs $2.50
Three things of shredded cheese costs $9.00
$9.00 + $2.50=11.50
$18.50-11.50=$7.00
$7.00/$3.50=(2)
Please help I really need help if right you get Branly please help.
[1] 1/2
- It will be 1/2 as large because of the scale factor
[2] 1/4
- 1/2 * 1/2 = 1/4
[3] (1/2)n
- For every scale factor (n), there will be a chance of 1/2
Have a nice day! - I know I answered this elsewhere, I saw it twice haha
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
In the number 78.018, how does the value of the 8 in the thousandths place compare to the value of the 8 in the ones place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 8 in the thousandths place is Response area the value of the 8 in the ones place.
Answer:
1/1000
Step-by-step explanation:
Does anybody like anime ??
x÷12;x=2/3 Help ASAP please.
Answer:
I think this is it 2/36=1/18
Step-by-step explanation:
if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.
2/3x1/12= 2/36
simplified 1/18
Please helppppppppppppp
equilateral triangle
2x+7y=5
2x-7y=19
elimanation or substution
Answer:
(6, -1)
Step-by-step explanation:
4x = 24
x = 6
2(6) + 7y = 5
12 + 7y = 5
7y = -7
y = -1
20
18. Find the values of x and y in the parallelogram PQRS.
vat
PT = 2x, TR = y +3, QT = 3x, TS = 2y
T
27
2x
Р
S
0
Answer:
Step-by-step explanation:
(x-4)^2-(x-4)(x+3)=35
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab + b²
(x -4)² - (x - 4)(x +3) = 35
x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35
x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35
x² - 8x +16 - [ x² -x - 12] = 35
x² - 8x + 16 -x² + x + 12 = 35
x² - x² - 8x + x + 16 + 12 = 35 {Combine like terms}
-7x + 28 = 35
-7x = 35 -28
-7x = 7
x = 7/-7
x = -1
2x+5y=25 3x-y=12 con metodo de sustitución
Answer:
x = 5, y = 3
Step-by-step explanation:
2x + 5y = 25
3x - 1y = 12
we can multiply the second equation by 5 and then add it to the first equation, which will allow us to solve for 'x'; then we solve for 'y'
5(3x - 1y) = 12(5)
15x - 5y = 60
2x + 5y = 25
+ 15x - 5y = 60
17x = 85
x = 5
plug '5' in for 'x' to solve for 'y':
2(5) + 5y = 25
10 + 5y = 25
5y = 15
y = 3
Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation? 6022 Times. 1019 6022 Times. 1020 6. 022 Times. 1022 6. 022 Times. 1023.
Answer:
6020*10's power 21 is correct and suitable way to write it in notation
Bottles of water sell for $1.50 each.
Graph the relationship between the number of bottles of water sold and the total cost.
16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?
Answer:
The smaller angle is 20 degrees.
Step-by-step explanation:
A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.
Say that the angles have 2x and 7x length:
2x+7x=90
9x=90
x=10
Hence the acute angles have degrees 2*10=20, 7*10=70.
The smaller angle is 20 degrees.
Hope this was helpful!