Answer:
$24.
Step-by-step explanation:
I multiplied 4 by 7 to get 28. Then I multiplied $28 by three weeks and got $84. Since $84 is more than I owe I subtracted $84 by $60 and got $24. I would give my friend $60 and keep $24. Hope this helps! Have a great day!
Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinates of point T? T(3, 2) T(3, 4) T(4, 5) T(4, 7)
Question:
Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?
Answer:
[tex]T(4,5)[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]
[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]
Required
Determine the coordinates of T
The coordinates of T can be represented as [tex]T(x,y)[/tex]
To do this, we simply solve for x and y
[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]
Solve 6 - 2
[tex]x = \frac{1}{2}*4 + 2[/tex]
Solve 1/2 * 4
[tex]x = 2 + 2[/tex]
[tex]x = 4[/tex]
[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]
Solve 4 - 6
[tex]y = \frac{1}{2}*-2 + 6[/tex]
Solve 1/2 * -2
[tex]y = -1 + 6[/tex]
[tex]y = 5[/tex]
Hence, the coordinates of T(x,y) is:
[tex]T(x,y) = T(4,5)[/tex]
Answer:
C
Step-by-step explanation:
Anyone need help on math:(?
Answer:no hbu cutie?
Step-by-step explanation:
I do lol- can u help me
3.4–2.8d+2.8d-1.3=?
f(x) = 2x + 3
g(x) = x
(a) Find fg(6).
(b) Solve the equation gf(x) = 100.
Answer:
a) 15
b) 97/2
Step-by-step explanation:
a) f(g(6))
g(6) = 6
2(6)+3
12 + 3
15
b) gf(x) = 10
2x+3
2x+3 = 100
2x = 97
x = 97/2
In a survey of 3000 people who owned a certain type of car, 2100 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%Step-by-step explanation:
Step one:
given data
we are told that the number of people under the survey is 3000
and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.
Step two:
Therefore the percentage of this number related to the total people under the survey is given below
=2100/3000*100
=21//30*100
=7/10*100
=7*10
=70%
Hence 70% of the people surveyed are satisfied with the type of car
What is the solution to the equation 1/4x-1/8=7/8+1/2x?
X=-5
X=-4
X=4
the answer is x=-4 hope it helps
Find the value of X that will make L║M
Answer:
x = 60
Step-by-step explanation:
Given: L ∥ M and the line going through them is transversal
The sum of the interior angles on the same side of a transversal is equal to 180 degrees; therefore, (2x + 5) degrees + (x - 5) degrees = 180 degrees.
2x + 5 + x - 5 = 180
2x + x + 5 - 5 = 180
3x + 0 = 180
3x = 180
x = 180/3
x = 60
Double Check:
2(60) + 5 + (60) - 5 = 180 degrees
120 + 5 + 55 =
125 + 55 =
180 degrees
180 degrees = 180 degrees
If a pair of standard dice are rolled,
what is the probability that the sum
will be greater than 7?
[ ?
Answer:
P(Pair of dice greater than 7) = 5/12
Step-by-step explanation:
When rolling a pair of dice, there are 36 combinations for the rolls.
(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)
Of those, there are 15 where the total is greater than 7.
15/36 = 5/12
#1 #2 Sum > 7
1 1 2 FALSE
1 2 3 FALSE
1 3 4 FALSE
1 4 5 FALSE
1 5 6 FALSE
1 6 7 FALSE
2 1 3 FALSE
2 2 4 FALSE
2 3 5 FALSE
2 4 6 FALSE
2 5 7 FALSE
2 6 8 TRUE
3 1 4 FALSE
3 2 5 FALSE
3 3 6 FALSE
3 4 7 FALSE
3 5 8 TRUE
3 6 9 TRUE
4 1 5 FALSE
4 2 6 FALSE
4 3 7 FALSE
4 4 8 TRUE
4 5 9 TRUE
4 6 10 TRUE
5 1 6 FALSE
5 2 7 FALSE
5 3 8 TRUE
5 4 9 TRUE
5 5 10 TRUE
5 6 11 TRUE
6 1 7 FALSE
6 2 8 TRUE
6 3 9 TRUE
6 4 10 TRUE
6 5 11 TRUE
6 6 12 TRUE
Answer:
5/12
Step-by-step explanation:
I can’t really explain it. I did the same problew though.
2x (3x + 5)
=6x^2+20x
Answer:
Are you 1 grade or what......
Answer:
6x^2 + 10x
Step-by-step explanation:
2x(3x + 5) = 2x * 3x + 2x * 5
= 6x^2 + 10x
hi can someone answer these 3 questions for me?? thank you :)
Answer:
1) 1[tex]\frac{1}{8}[/tex]
2) 2[tex]\frac{5}{7}[/tex]
3) 1[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
Step-by-step explanation:
4 7/8 + __ = 6
__ = 6 - 4 7/8
__ = 1 1/8
3 2/7 + __ = 6
__ = 6 - 3 2/7
__ = 2 5/7
3 1/9 + __ = 5
__ = 5 - 3 1/9
__ = 1 8/9
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.
StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction
StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction
StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction
Given:
[tex]\sin (x)=-\dfrac{1}{2}[/tex]
[tex]\cos (y)=-\dfrac{1}{3}[/tex]
x is an angle in quadrant III, and y is an angle in quadrant II.
To find:
The value of sin(x+y).
Solution:
We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.
x is an angle in quadrant III,
[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]
[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]
[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]
[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]
[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]
y is an angle in quadrant II.
[tex]\sin y=\sqrt{1-\cos^2x}[/tex]
[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]
[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]
[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]
[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]
Now,
[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]
[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]
[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]
[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]
Therefore, the correct option is B.
Answer:
Choice B
Step-by-step explanation:
12. Find the value of x.
(10x - 11)
(7x + 4)
Answer:
Step-by-step explanation:
7x+4=10x-11
4=3x-11
15=3x
x=5
I need to know the answer to part b please
Answer:
Part B is Both batches have 2 more quarts of pineapple juice than sparkling water. The ratio of quarts of pineapple juice to quarts of fruity drink for the first batch is 3 to 5 or 3:5 or 3/5. The ratio for the second batch is 5 to 8 or 5:8 or 5/8. The second batch has a greater ratio of quarts of pineapple juice to quarts of fruity drink.
What is m / 5 - 2 = 8
Answer:
m=24
Step-by-step explanation:
First, we can combine like terms:
m/(5-2)=8
m/3=8
Now, we need to get m by itself. To do this, multiply by 3:
m/3*3=8*3
m=24
50
50 ÷ 5 = 10, 10-2 =8
kdjrjrjdjjfhrhy to truth thhrjrhejd
Identify the slope and the y-intercept of the following: g(x)=-3/2x + 4
Answer:
x = 6
Step-by-step explanation:
What is the equation of the line shown in this graph?
Answer:
y=0x+1
Step-by-step explanation:
Hope this helps!(^-^)
Answer: either -4,1 (+) 6 or 2,1 (-) 6
Step-by-step explanation:
Algebra Find the values of x and y.
5.
olgaus 1986.
115°
х”
081 91129 rast
Answer:
hey look up it up it's better
Step-by-step explanation:
what is the rate of change of y with respect to x for this function
Answer:
8
one fourth
2
4
Step-by-step explanation:
hope with helped ^^
????????????????????????????????????????
Answer: The Answer is 64
Step-by-step explanation: there isnt much really to it
Answer:
The answer is 64
Step-by-step explanation:
If you need me to explain my answer let me know.
A system of linear equations is given by the tables.
Answer:
Please, see the explanation.
Step-by-step explanation:
DETERMINING THE EQUATION FOR THE FIRST TABLE
Given the first table
x y
-5 10
-1 2
0 0
11 -22
From the given equation, we can verify and determine that
[tex]y=-2x[/tex] is the required equation that satisfies the table values of the first table.
substituting the table values of all the ordered pairs to check
FOR (-5, 10)
y =-2x
10 = -2(-5)
10 = 10
L.H.S = R.H.S
FOR (-1, 2)
y =-2x
2 = -2(-1)
10 = 2
L.H.S = R.H.S
FOR (0, 0)
y =-2x
0 = -2(0)
0 = 0
L.H.S = R.H.S
FOR (11, -22)
y =-2x
-22 = -2(11)
-22 = -22
L.H.S = R.H.S
As all the ordered pairs of the first table satisfy the equation.
Hence, [tex]y=-2x[/tex] is the equation for the first table.
DETERMINING THE EQUATION FOR THE SECOND TABLE
Given the first table
x y
-8 -11
-2 -5
1 -2
7 4
From the given equation, we can verify and determine that
[tex]y=x-3[/tex] is the required equation that satisfies the table values of the second table.
substituting the table values of all the ordered pairs to check
FOR (-8, -11)
y =x-3
-11 = -8-3
-11 = -11
L.H.S = R.H.S
FOR (-2, -5)
y =x-3
-5= -2-3
-11 = -5
L.H.S = R.H.S
FOR (1, -2)
y = x-3
-2= 1-3
-2 = -2
L.H.S = R.H.S
FOR (7, 4)
y = x-3
4 = 7-3
4 = 4
L.H.S = R.H.S
As all the ordered pairs of the second table satisfy the equation.
Hence, [tex]y = x-3[/tex] is the equation for the second table.
Therefore, the equations are:
[tex]y=-2x[/tex]
[tex]y = x-3[/tex]
Now, let us solve to determine the solution
[tex]\begin{bmatrix}y=-2x\\ y=x-3\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+2x=0\\ y-x=-3\end{bmatrix}[/tex]
[tex]y-x=-3[/tex]
[tex]-[/tex]
[tex]\underline{y+2x=0}[/tex]
[tex]-3x=-3[/tex]
[tex]\begin{bmatrix}y+2x=0\\ -3x=-3\end{bmatrix}[/tex]
solving
[tex]-3x=-3[/tex]
[tex]\frac{-3x}{-3}=\frac{-3}{-3}[/tex]
[tex]x=1[/tex]
For [tex]y+2x=0[/tex], plugin [tex]x = 1[/tex]
[tex]y+2\cdot \:1=0[/tex]
[tex]y+2=0[/tex]
[tex]y=-2[/tex]
Therefore, the solution to the system of equations are:
[tex]y=-2,\:x=1[/tex]
I NEED HELP PLEASEEEE HABSJQBSKQSBQISBWKEJKQDJIQSB :(
Answer:
5
Step-by-step explanation:
within the brackets do the parentheses (14-12)=2
according to PEMDAS, multiply first 2x3 to get 6
then add 3
you end up with 9 in the brackets so now all that’s left is 45/9 which is 5
Find the central angle, indicated by ?
155°
?
120°
The central angle of the circle is given by the equation A = 120°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the center of the circle be O
Let the arc be represented as AB
Let the angle be represented as ∠AOB
Now , ∠AOB is a central angle with an intercepted minor arc from A to B.
Substituting the values in the equation , we get
m∠AB = 120º
The measure of the central angle ∠AOB = measure of m∠AB
So ,
The measure of the central angle ∠AOB = 120°
Hence , the central angle is 120°
To learn more about central angle click :
https://brainly.com/question/11877137
#SPJ2
Solve for x.
4x - 8 = -3(2x + 6)
Answer:
x= -1
Step-by-step explanation:
First, distribute the -3 through the parentheses
4x-8= -3(2x+6)
= 4x-8= -6x-18
Second, move the variable to the left-hand side and change its sign
4x+6x= -18+8
10x= -10
Divide both sides by 10
x=-1
Answer:
x=-7
Step-by-step explanation:
first u wanna multiply (2x+6) which equals 12 the what u wanna do is move the constant to the right which is 4x-8=-36. Then calculate 4x=-36+8. then after that then u should end up with 4x=-28 then u divide it then u end up with ×=-7
Can u guys help me w number 5 U can answer 6 if u want too
Answer:
5. Slope: 2
y-intercept:(0,-6)
y=2x-6
6. Slope:1
y-intercept:(0,-1)
y=x-1
The function is f(x)=x^2+7x-8
Need immediately
Rewarding 100 points !!!!
Answer: Vertex is (-7/2, -81/4)
Axis of synmentary is x= -7/2
Directrix is y= -41/2
Step-by-step explanation:
Its on google
A coin is flipped and a normal dice is rolled. How many possible outcomes are there? What is the probability of getting no heads? What is the probability of getting at least two tails?
Answer:
Below.
Step-by-step explanation:
(a) There 8 possible outcomes.
HHH TTT HHT HTH THH TTH THT HTT
(b) Prob(No Heads)
= Prob(TTT)
= 1/8.
(c) Possible outcomes of at least 2 tails are:
TTT, TTH THT HTT = 4
So Probability of this is 4/8 = 1/2.
Mary has sold 90 boxes of cookies. If her goal was to sell 120 boxes, what percentage of her goal has she sold?
the percentage is 75%
because 90 divided by 120 is 0.75.
The sum of three numbers is 54. The third number is 6 more than the first. The second number is 2 times the third. What are the numbers?
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
[tex]a+b+c=54[/tex]
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
[tex]a+2(a+6)+(a+6)=54[/tex]
Solve for a. Distribute:
[tex]a+2a+12+a+6=54[/tex]
Combine like terms:
[tex]4a+18=54[/tex]
Subtract 18 from both sides:
[tex]4a=36[/tex]
Hence, the value of a is:
[tex]a=9[/tex]
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.
find the area k of triangle ABC WHEN A =19.2 b= 2.05 and c=9.12
Step-by-step explanation:
Area of a triangle= 1/2breadth × height
Someone please help me
x⁴+1 by x+1 ( Long division of polynomials).Please if anyone knows the answer of this question please let mr know.....if you want points and waste my time your answer will be reported...
[tex] {x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1} [/tex]
lmk if u want an explanation for this I can try type it out
Answer:
[tex]x^3-x^2+x-1+\frac{2}{x+1}[/tex]
Step-by-step explanation:
See the picture attached.
Notice how I set up [tex]x^4+1[/tex] as [tex]x^4+0x^3+0x^2+0x+1[/tex], as it makes it easier to solve.
Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term [tex]\frac{2}{x+1}[/tex] in the end of the answer.