[tex]\underline{+\left\{\begin{array}{ccc}x-3y=3\\-x+2y=-3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=0\to\boxed{y=0}\\\\\text{Put the value of y to the first equation}:\\\\x-3(0)=3\to\boxed{x=3}\\\\Answer:\ \boxed{x=3\ and\ y=0\to(3,\ 0)}[/tex]
Someone please help!!!!!
I'm bad at math!!!
(5b - 9) - 3(8 - 2b)
Also, could you give me tips on how to solve these kind of problems?
Thanks.
- A Math Disaster
Jim earns $140 during the summer doing chores. He bought 2 sets of pens worth $25 each using his chore money. How much money was left after he bought the pen sets?
A.) $58
B.)$90
C.)$190
D.)$255
Answer:
B) $90!
I hope this helped :D
Answer:
90 is the answer
Step-by-step explanation:
90+50=140
140-50=90
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on a certain object, the acceleration of the object is 6 /ms2 . If the acceleration of the object becomes 5 /ms2 , what is the force?
Answer: [tex]F=15N[/tex]
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
[tex]F=ka[/tex]
Where [tex]F[/tex] is the force acting on the object, [tex]a[/tex] is the object's acceleration and [tex]k[/tex] is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting [tex]F=18[/tex] and [tex]a=6[/tex] into the equation and solving for [tex]k[/tex]:
[tex]18=k6\\k=\frac{18}{6}\\k=3[/tex]
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
[tex]F=3(5)\\F=15[/tex]
3. The result is:
[tex]F=15N[/tex]
The acceleration that an objects gains is given by the mass of the object.
If the acceleration of the object becomes 5 m/s² the force is 15 N.Reason:
The given parameters are;
The acting force ∝ The acceleration of the object.
The acceleration given by an amount of force, F, of 18 N = 6 m/s²
Required:
The force acting on the object acceleration, a, is 5 m/s².
Solution:
According to Newton's Second Law of motion, we have;
F = m·a
Where;
m = The mass of the object
Therefore, we have;
[tex]Mass, \, m = \dfrac{F}{a}[/tex]
From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the
given object is given as follows;
[tex]Mass \ of \ the \ object, \, m = \dfrac{18 \, N}{6 \ m/s^2} = 3 \, kg[/tex]
The force acting when the the acceleration, a = 5 m/s², is therefore;
F = 3 kg × 5 m/s² = 15 N
If the acceleration of the object becomes 5 m/s² the force is 15 N.
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The angle bisector of a triangle divides the triangle into two similar triangles
-always
-sometimes
-never
The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.
TriangleTriangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Given
Angle bisector of the triangle.
To find
The angle bisector of a triangle divides the triangle into two similar triangles always, sometimes, or never.
How to show the condition?The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.
More about the triangle link is given below.
https://brainly.com/question/25813512
The angle bisector divides a triangle into two similar triangles Option B) sometimes, specifically when the triangle is isosceles.
1. Isosceles Triangle: In an isosceles triangle, two sides are equal in length. When the angle bisector of the vertex angle is drawn, it also bisects the base, creating two congruent triangles (by the Angle Bisector Theorem). Congruent triangles are always similar, so in this case, the statement holds true.
2. Scalene Triangle: In a scalene triangle, none of the sides are equal. When you draw the angle bisector of one of the angles, it won't necessarily bisect any other side into two equal lengths. Hence, the resulting triangles formed by the angle bisector won't necessarily be similar.
So, the angle bisector divides the triangle into two similar triangles sometimes (when it's an isosceles triangle) but not always (when it's a scalene triangle).
Arrange the systems of equations that have a single solution in increasing order of the x-values in their solutions.
2x + y = 10
x − 3y = -2
x + 2y = 5
2x + y = 4
5x + y = 33
x = 18 − 4y
y = 13 − 2x
8x + 4y = 52
x + 3y = 5
6x − y = 11
2x + y = 10
-6x − 3y = -2
y = 10 + x
2x + 3y = 45
Answer:
6 , 2 , 5 , 7 , 4 , 1 , 3
Step by Step:
1) x - 3(10 - 2x) = -2
x - 30 + 6x = -2
7x - 30 = -2
7x = 28
x = 4
2) x + 2(4 - 2x) = 5
x + 8 - 4x = 5
-3x + 8 = 5
-3x = -3
x = 1
3) 5(18 - 4y) + y = 33
90 - 20y + y = 33
90 - 19y = 33
-19y = -57
y = 3
x = 18 - 4(3)
x = 18 - 12
x = 6
4) 8x + 4(13 - 2x) = 52
8x + 52 - 8x = 52
52 = 52
5) x + 3(-11 + 6x) = 5
x - 33 + 18x = 5
19x - 33 = 5
19x = 38
x = 2
6) -6(5 - 2y) - 3y = -2
-30 + 12y - 3y = -2
-30 + 9y = -2
9y = 28
y = 3
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2
7) 2x + 3(10+x) = 45
2x + 30 + 3x = 45
5x + 30 = 45
5x = 15
x = 3
Answer:
The order for the systems is 2), 5),7), 1) and 3)
Step-by-step explanation:
To find the solution for ecah system first you have to choose a method, for example you can isolate one of the variables (x or y) in both equations and then equal each other.
1) 2x + y = 10 ⇒ y= 10 - 2x
x - 3y = -2 ⇒ -3y = -2 - x ⇒ y = (-2 - x)/-3 ⇒ y = 2/3 + (1/3)x
Now you have to equal both equations
10 - 2x = 2/3 + (1/3)x ⇒ 10 - 2/3 = (1/3)x + 2x ⇒28/3 = (7/3)x
⇒ (28/3)/(7/3) = x ⇒ 4.
With the "x" value obtained we return to the original equations and replace it there to find "y".
2x + y = 10 ⇒ 2(4) + y = 10 ⇒ y= 10 - 8 ⇒ y =2
The solution to the system is (4,2).
If you do the same for all the systems you will find that the solutions are
2) x + 2y = 5
2x + y = 4
Solution = (1, 2)
3) 5x + y = 33
x = 18 − 4y
Solution = (6,3 )
4) y = 13 − 2x
8x + 4y = 52
Solution = ∅, no solution
5) x + 3y = 5
6x − y = 11
Solution = (2, 1)
6) 2x + y = 10
-6x − 3y = -2
Solution = ∅, no solution.
7) y = 10 + x
2x + 3y = 45
Solution = (3, 13)
What is median of this histogram
Answer: You take the 2 middle columns in this case the purple gray looking one and the brown one and add them together divide them by 2
Step-by-step explanation:
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
55
60
130
150
Answer:
60
Step-by-step explanation:
URGENT NEED HELP, Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
A)150 minutes
B) 160 minutes
C)170 minutes
D)180 minutes
The number of minutes the water level would be less than or equal to 64 cups is t ≥ 158.33. option B, C, D
How many minutes would the water level be less than or equal to 64 cups?
The regression equation:
W = -0.414t + 129.549
Where,
t is the number of minutes and
W is the level of water.
When w ≤ 64
W ≤ -0.414t + 129.549
64 ≤ -0.414t + 129.549
Subtract 129.549 from both sides
64 - 129.549 ≤ -0.414t
-65.549 ≤ -0.414t
Divide both sides by -0.414
t ≥ -65.549 / -0.414
t ≥ 158.3309178743961
Approximately, t ≥ 158.33
Therefore, the water level would be less than or equal to 64 cups when t is greater than or equal to 158.33
Evaluate (precalculus)
Answer:
Option 4 which is 1,430.
Step-by-step explanation:
Step 1
In this this step we will break up the terms in the summation symbol using the rules for manipulation summations.
[tex]\sum_{i=1}^{n}(aX^2_i+k)=\sum_{i=1}^{n}(aX)+\sum_{i=1}^{n}k\\\\\sum_{i=1}^{n}(aX^2_i+k)=a\sum_{i=1}^{n}X^2+nk.[/tex]
This means that for our case, the sum can be simplified to be,
[tex]\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2+11\times(-8)\\\\\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2-88[/tex]
Step 2
In this step we use the formula for the sum of the first n squares to evaluate the first part of the sum in step 2. The formula for the sum of the first n squares is,
[tex]\sum_{i=1}^{n}n^2=\frac{n(n+1)(2n+1)}{6} \\\\\implies\sum_{i=1}^{11}i^2=\frac{11(11+1)(2\times 11+1)}{6} =506[/tex]
Step 3
In this step we use the result from step 1 to evaluate the sum.[tex]3\sum_{i=1}^{11}i^2-88=3(506)-88=1,430.[/tex]
The correct answer is Option 4,which is 1,430.
Answer:
[tex]\boxed{\boxed{\sum_{i=1}^{11}(3i^2-8)=1430}}[/tex]
Step-by-step explanation:
The given expression is,
[tex]\sum_{i=1}^{11}(3i^2-8)[/tex]
[tex]=\sum_{i=1}^{11}(3i^2)-\sum_{i=1}^{11}(8)[/tex]
[tex]=3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)[/tex]
we know that,
[tex]\sum_{i=1}^{n}i^2=\dfrac{n(n+1)(2n+1)}{6}[/tex] and
[tex]\sum_{i=1}^{n}c=cn,\text{ Where c is a constant}[/tex]
Hence,
[tex]3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)=3\left(\dfrac{11(11+1)(2(11)+1)}{6}\right)-8(11)[/tex]
[tex]=3\left(\dfrac{11(12)(23)}{6}\right)-8(11)[/tex]
[tex]=3\left(506}\right)-8(11)[/tex]
[tex]=1518-88[/tex]
[tex]=1430[/tex]
What is 341/1000 in words
I need help with number 14 please
What is the coefficient of the fourth term in the expression? 5 − 10x + 15y − 20xy
A) −
B) 20
C) −20
D) −20xy
Answer:
C
Step-by-step explanation:
the coefficient of a term is the numeric value including the sign in front of the variable/ s
the fourth term in the expression is - 20xy
The coefficient of this term is - 20 → C
Given f(x)=5x+5, find f(-4)
f(-4) This means that x is -4, so you can plug in -4 for "x" in the equation
f(x) = 5x + 5
f(-4) = 5(-4) + 5
f(-4) = -20 + 5
f(-4) = -15
The cost of a car rental is twenty-five dollars a day plus ten cents a mile. What is the total cost, in dollars, if the car is rented for three days and driven a total of six hundred and sixty miles? A) 86 B) 91 C) 97 D) 141
Answer:
The total cost is D) $141
Step-by-step explanation:
To solve we can use the equation: [tex]y=25d+0.10m[/tex]
d= number of days m= number of miles
We know both of these values so we can plug them in and solve.
y= 25(3) + 0.10(660)
y= 75 + 66
y = 141
What is the value of arcsin (0) in degrees
Answer:
0
Step-by-step explanation:
full answer guide attached
Please help I don’t know how to do this at all!
Answer:
16 times the square root of 6
Step-by-step explanation:
2 radical54 simplifies:
2(radical6 x radical9), which is 6 radical6
and 5 radical24 simplifies:
5(radical6 x radical4), which is 10 radical6,
10 radical6 + 6 radical6=
16 radical6
3+2(2p+4t) some one plz HELP ME.
Answer:
3+4p+8t
Step-by-step explanation:
We have been given an expression:
3+2(2p+4t)
We will simplify the equation:
Firstly, we will open the parenthesis by multiplying it with the 2 given outside of the parenthesis we get:
3+4p+8t
Since, we have two variables so it can not be further solved therefore,
This is the maximum simplification of the given expression.
Will give lots of points/write a rule to describe each transformation
Step-by-step explanation:
What number(s)?
the show the work for these problems
Answer:
Part A $150.00
Part B $140.00 because you would do 35 x 4 = 140.
Part C, He will have $17 left over. You would take 167 - 140 = 17
Question 5, The would have gathered $150 because you would take 30 x 5 = 150.
a 33 m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36m Find the length of the shadow
Answer:
14.39
Step-by-step explanation:
a^2 + b^2 = c^2
33^2 + b^2 = 36^2
1089 + b^2 = 1296
1089 - 1089 + b^2 = 1296 - 1089
b^2 = 207
b = 14.39
Emma,brandy,and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the 3 ropes will be the same length.Write a division sentence using compatible numbers to estimate the length of each rope
Answer:
30 ÷ 3 = 10 ft each
hope it helps :)))
Step-by-step explanation:
29.8 you can estimate it to 30
so you would divide 30 ÷ 3 = 10
What is the value of cos 0 given that (-2,9) is a point on the terminal side of 0?
Answer:
The value of cos 0 = - 2 sqrt(85) / 85 = - 0.216930458
Step-by-step explanation:
cos 0 = ?
Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9
cos 0 = x/r
r=sqrt(x^2+y^2)
Replacing the known values:
r=sqrt( (-2)^2+(9)^2)
r=sqrt(4+81)
r=sqrt(85)
cos 0 = x/r
cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458
Rationalizing:
cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]
cos 0 = - 2 sqrt(85) / [sqrt(85)]^2
cos 0 = - 2 sqrt(85) / 85
Luz reads for 1/4 hours every night. After 8 nights, how much total time has she been reading?
Answer:
2 hours
Step-by-step explanation:
To find out how much she has read, we multiply the number of nights by how much read per night
time read = 8 nights * 1/4 hours per night
time read = 8/4 hours
time read = 2 hours
Answer: 2 weeks?
Step-by-step explanation: 1/4 x 8= 2
Solve for x
3x-xy=4z-5y
Is it no solutionn????
From algebra1
HELP PLZZZZZZ
Answer:
x = (4z -y)/(3 – y); y ≠ 3
Step-by-step explanation:
3x – xy = 4z - 5y Factor
x(3-y) = 4z - y Divide each side by 3-y
x = (4z -y)/(3 – y); y ≠ 3
x is undefined when y = 3, so we must include the condition that y ≠ 3.
Which equation represents the following word sentence? The opposite of g times the quantity 2 plus 5.
Answer:
-g * (2+5)
Step-by-step explanation:
The opposite of g times the quantity 2 plus 5
Opposite means put a negative sign
times means multiply
Quantity means parenthesis
plus means addition
-g * (2+5)
The problem 'The opposite of g times the quantity 2 plus 5' translates into the mathematical equation -g*(2+5) or -g*7 in which g is multiplied by 7, and the result is negated.
Explanation:The word sentence 'The opposite of g times the quantity 2 plus 5' can be represented by the equation -g*(2+5) or -g*7, where * denotes multiplication, + denotes addition, and - denotes opposite or negation. Therefore, the interpretation of the sentence is 'multiply g by 7 and then take the opposite or negative of the result'. The use of parentheses ( ) in the equation ensures we first perform the addition within, according to the order of operations in math, most commonly known as BIDMAS/BODMAS or PEMDAS rules.
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at a farmers market two vendors sell fresh milk. one vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. which is the better deal?
Answer:
The second dealer is better.
Step-by-step explanation:
To figure this out we need to divide the price by the amount of milk. Lets do both at the same time.
3.8/2= 2.7/1.5=
3.8/2=1.9 2.7/1.5=1.8
The second dealer is better.
Price per unit is the cost of the sing unit or measure of goods or the service provided.The second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.
Given information-
First vendor sells 2 liters for $3.80.
Second vendor sells 1.5 liters for $2.70.
What is price per unit?Price per unit is the cost of the sing unit or measure of goods or the service provided.
Price per unit helps to compare the two product with there cost. The less will be the price per unit of a product the product will be more cheaper.
Price per unit is the ratio of the total cost to the number of units.
The vendor which provide more milk in less rate will be the better deal.
As first vendor sells 2 liters for $3.80. Thus the price of milk per liter is,
[tex]P_1=\dfrac{3.80}{2} \\P_1=1.90[/tex]
Hence the first vendor sells the 1 liter milk in $1.90.
As Second vendor sells 1.5 liters for $2.70. Thus the price of milk per liter is,
[tex]P_2=\dfrac{2.70}{1.5} \\P_2=1.80[/tex]
Hence the second vendor sells the 1 liter milk in $1.80.
Hence the second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.
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Denise’s rock sample weighs 684 grams Pauline’s rock sample weighs 29,510 centimeters how much heavier is Denise’s sample than Pauline’s
Answerenise's rock sample has
38
,
890
centigrams more mass than that of Pauline
:
Step-by-step explanation:
Look at the table below showing an example of a checkbook ledger. Adrienne has several receipts from recent transactions that she entered in her records. The receipts include an ATM receipt for a $60.00 withdrawal (plus a $2.00 transaction fee), a grocery store receipt for $32.50, and a $1,200 paycheck deposit slip. When she finishes entering her transactions, Adrienne realizes that her balance is incorrect. Assuming that Adrienne’s beginning account balance was $320.00, why is her balance incorrect?
I think it's "Adrienne did not enter her ATM withdrawal correctly"
Answer:
" Adrienne did not enter her ATM withdrawal correctly."
D.
Step-by-step explanation: <3
Layla and Carson work at the same store. Last week, Layla worked 8.75 hours, which was 25% of the amount of the time that Carson worked. How many hours did Carson work last week
Divide 8.75 by 35 and multiply the result by 100 to get 25 hours.
a ferris wheel can accumulate 75 people in 30 minutes how many people could ride the ferris wheel in 4 hours what was that rate per hour
Answer:
600 people
Step-by-step explanation:
We can use ratios to solve this problem.
Change the 30 minutes in to hours
30 minutes = .5 hours
75 people x people
---------------- = -----------------------
.5 hours 4 hours
Using cross products
75*4 = .5 *x
300 = .5x
Divide each side by .5
300/.5 = .5x/.5
600 =x