Answer
[tex] \boxed{ \boxed{ \bold{ \purple{N = 17}}}}[/tex]
Step by step explanation
[tex] \sf{N + 6 + 9 = 32}[/tex]
Add the numbers
⇒[tex] \sf{N + 15 = 32}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{N = 32 - 15}[/tex]
Calculate the difference
⇒[tex] \sf{N = 17}[/tex]
Hope I helped!
Best regards!!
Find the measure of b. A. 126 B. 31.5 C. 27 D. 63
Answer:
D. 63°
Step-by-step explanation:
a = 27°
b = 180° - (a + 27°)
b = 180° - (27° + 27°)
b = 180° - 54°
b = 126°
By inscribed angle theorem:
c = 1/2 b = 1/2 * 126°
c = 63°
The measure of angles a, b, and c in the given figure are 27°, 126°, and 63°, respectively.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
In the triangle ORQ, the two sides of the triangle OR and OQ are the radius of the triangle, therefore, the length of the two sides will be.
Since the two sides of the triangle are equal, therefore, the triangle will be an isosceles triangle, with the angle opposite to the same length measuring the same. Therefore,
∠OQR = ∠ORQ
a = 27°
Now, in a triangle, the sum of the measure of all the angles is equal to 180°. Therefore, we can write,
∠OQR + ∠ORQ + ∠QOR = 180°
a + 27° + b = 180°
27° + 27° + b = 180°
b = 180° - 27° - 27°
b = 126°
Further, In a circle, the measure of the angle formed by the chord in the centre of the circle is twice the measure of the angle formed by the same chord on any point in the circle. Therefore,
∠QOR = 2∠QPR
b = 2 × ∠QPR
126° = 2 × ∠QPR
∠QPR = 126° / 2
∠QPR = 63°
Hence, the measure of angles a, b, and c in the triangle are 27°, 126°, and 63°, respectively.
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John had 2 apples, he
got 3 more.
more. How many
apples does he have?
Answer:
5
Step-by-step explanation:
2+3=5
ts
The triangles shown in the graph are congruent. Based
on the graph, determine which congruency statement
is correct.
O AXYZ ALGM
O AZYX ALGM
O AXZY ALGM
Answer:
C.) ΔXZY ≅ ΔLGM
Step-by-step explanation: I got it right on Edge
The correct congruency statement is: [tex]\triangle XZY \cong \triangle LGM[/tex]
From the graph, we have the following corresponding points
Point X and point LPoint Z and point GPoint Y and point MThe above highlights mean that:
Triangle XZY corresponds to triangle LGM
Hence, the correct congruency statement is: [tex]\triangle XZY \cong \triangle LGM[/tex]
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Alma is 3 years older than liz.
let l =liz's age.
then ? =alma age
Answer:
l+3
Step-by-step explanation:
since Alma is 3 years older than Liz so then she would be l+3
Convert 2676 cm into inches (1 in = 2.54 cm)
Answer:
1053.543 in
Step-by-step explanation:
I divided the length value by 2.54
Answer:
1053.5 in
Step-by-step explanation:
1 in
2676 cm x ------------ = 1053.5 in
2.54 cm
Which situation is modeled by the graph? A graph has time on the x-axis and height on the y-axis. The height increases, decreases to 0, increases, decreases to 0, and then increases.
Answer:
A graph has time ont the x-axis and height on the y-axis
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal. When Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi. Find their original sum ofmoney.
Answer:
money with Gopal rs. 60
money with laxmi Rs. 90
Total money with them = Rs. 150
Step-by-step explanation:
Let money with gopal be x
let money with laxmi be y
Given
Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal
Money left with gopal after giving Rs 10 = x-10
money with Laxmi after getting rs 10 = y+10
according to given condition
money with laxmi = 2*money left with Gopal
y+10 = 2(x-10)
___________________________________________________
Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi.
Money left with Laxmi after giving Rs 10 = y-10
money with Gopal after getting rs 10 = x+10
according to given condition
money with laxmi -10 =money with Gopal
y-10-10 =x+10
y-20 = x+10
=> y = x+10+20
y = x+30
substituting y = x+30 in y+10 = 2(x-10)
x+30 +10 = 2(x-10)
x+40 = 2x-20
=>40+20 = 2x-x
=> x = 60
y = x+30 = 60+30 = 90
Thus,
money with Gopal rs. 60
money with laxmi Rs. 90
Total money with them = 60+90 = rs. 150
What is the degree (highest exponent) of
a quadratic?
Answer:[tex]x^{2}[/tex]
Step-by-step explanation:
The highest degree is [tex]x^{2}[/tex]
quadratic equations are usually in this form: [tex]ax^{2}[/tex] +bx +c =0 (the signs may be positive or negative depending on the question given)
Which statement about the stamps is correct?
Karl has stamps in his desk drawer. The possible
combinations of stamps are shown below.
Karl's Stamp Collection
The total number of stamps is 25.
The total value of the stamps is $18.75.
The total number of stamps is 35.
The total value of the stamps is $19.15.
Number of
Number of
45-cent stamps 65-cent stamps
18
17
2015
22
13
10
25
Answer:
The answer is "The total number of stamps is 35".
Step-by-step explanation:
There are many 35 stamps in total. The number of stamps during the first mixture is= 35
Then let the other configurations be checked
[tex]\to 20 + 15= 35 \\\to 22+13 = 35 \\\to 25 + 10 = 35 \\[/tex]
Therefore the correct answer is =35
The total number of stamps is 35. Therefore, the correct answer is option C.
From the given table,
Which ever the combination we choose, we get total number of stamps as 35.
Total cost of stamps in each case is
i) 18×0.45+17×0.65
= $14.65
ii) 20×0.45+15×0.65
= 9+9.75
= $18.75
iii) 22×0.45+13×0.65
= 9.9+8.45
= $18.35
iv) 25×0.45+10×0.65
= 11.25+6.5
= $17.75
Therefore, the correct answer is option C.
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What is the value of 9 packs of Sweets if one pack of sweet cost Rs 120.5?
Answer:
[tex]\boxed{Rs 1084.5}[/tex]
Step-by-step explanation:
One pack = Rs 120.5
→ Multiply both the brackets and price by 9
9 packets = Rs 1084.5
Answer:
[tex] \boxed{ \bold{ \mathsf { \boxed{ \: Rs \: 1084.5}}}}[/tex]Step-by-step explanation:
Cost of one pack of sweets = Rs 120.5
Cost of 9 packs of sweets = ?
Finding the cost of 9 packs of sweets
Since, the cost of 9 packs of sweets is more than that is 1 pack of sweet. So, the cost of 1 pack of sweet is multiplied by 9 ( i.e 120.5 × 9 )
⇒ Rs 1084.5
Hope I helped!
Best regards!!
Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month. Kyle’s total sales for the month of January were $10,000, and his total earnings for that month were $1,350. Kyle’s total sales for the month of February were $15,000, and his total earnings for that month were $1,575. What is Kyle’s fixed monthly salary in dollars?
Answer:
$900
Step-by-step explanation:
Kyle's commission on an extra $5000 in sales was ...
$1575 -1350 = $225
So, his commission on $10000 in sales would be ...
$225 × 2 = $450
Since $450 of Kyle's first month's sales was commission, his base salary was ...
$1350 -450 = $900 . . . . Kyle's fixed monthly salary
A truck traveled 130 miles using 4 gallons of diesel fuel. What distance would the same truck cover using 6.7 gallons of diesel fuel?
Answer:
217.75
Step-by-step explanation:
Divide the distance traveled by the gallons used. This will give you the distance that can be traveled using one gallon.
130/4 = 32.5
Now, multiply this value by 6.7 to find the distance that can be covered.
6.7 × 32.5 = 217.75
Help plz I really need this
Answer:
14 square inches
Step-by-step explanation:
Since, three one inch cubes are stacked.
Therefore,
l = 1 in
w = 1 in
h = 3 in
Surface area of the composite figure
= 2(lw + wh + lh)
= 2( 1*1 + 1*3 + 1*3)
= 2 (1 + 3 + 3)
= 2 * 7
= 14 square inches
please help Which of these numbers is equivalent to 2.4×10 to the 5 power? A. 2,400 B.24, 000 C. 240,000 D. 2,400,000
Answer:
C
Step-by-step explanation:
● 2.4 × 10^5
10^5 is 100000
● 2.4 × 100000
● 240 000
Answer:
C. 240,000
Step-by-step explanation:
This question is about using scientific notation.
In order to solve these types of questions, you move the decimal as many places as indicated by the Exponent ( which is given above the 10).
So in this example, we are given 2.4 x 10 ⁵. This means we would move the decimal 5 places. Since the exponent is positive, we will move the decimal to the right.
2 . 4 .
Which gives us option C. 240,000.
Aluminum is a highly reactive metal that oxidizes when exposed to air. Which of these would be a good first step in balancing this reaction? Al + O2 → Al2O3
Answer:
first step to balance the equation is :
multiply AL by 2 to match the amount of aluminum on the other side
balanced equation : 4 Al +3O2 → 2 ALO3
Step-by-step explanation:
Al + O2 → Al2O3
first step to balance the equation is :
multiply AL by 2 to match the amount of aluminum on the other side
but then you have to deal with the amount of O from both sides, we need to find the least common multiple between 2 and 3 which is 6
the best thing to balance the equation is to multiply O2 by 3 and O3 by2, then deal with the amount of AL which is 4 on the other side. last step is to multiply AL by 4 to balance the equation.
if g^-1(x) is the inverse of g(x) which statements must be true
Answer:
A, B, D, F
Step-by-step explanation:
The domain of a function is the range of its inverse.
The composition of a function and its inverse is an identity.
At the fair Jenny's friend, Michael buys 3 bags
of chips and 2 bottles of Gatorade for $7.35.
Write the linear model algebraically. If a
gatorade cost $1.80, how much does a bag of
chips cost?
Plzzzz help need help ASAP
Let [tex]y[/tex] be bags of chips and [tex]x[/tex] bottles of Gatorade.
The system of linear equations emerges.
[tex]3y+2x=7.35[/tex]
[tex]x=1.8[/tex]
Insert value of x from second equation into first to get rid of the system and get:
[tex]3y+2(1.8)=7.35[/tex]
Now solve for y.
[tex]y=\frac{7.35-2(1.8)}{3}=1.25[/tex].
A bag of chips costs $1.25.
Hope this helps.
plz help ASAP WILL MARK BRAINLIST
Answer: B. The domain is {x|x<0 or x>0} and the range is {y|y>0}
Step-by-step explanation:
f(x)=x^-2
----------------------------
#1 Any negative (-) exponents means the answer will be 1/ the term
- for example, 3^-2=1/3^2=1/9
NOTE: NEGATIVE EXPONENTS DOES NOT MEAN IT IS A NEGATIVE NUMBER, IT IS STILL A POSITIVE NUMBER IF THE BASE IS POSITIVE.
-----------------------
The domain, which will be the value of x.
x can be any real number, except 0, because 0 can't go to negative exponents or else it will be undefined.
{x|x<0 or x>0}
-------------------------------------
The range, which will be the value of y.
Since the x value is being squared, it is always positive
{y|y>0}
Answer:
A. The first choice.
Step-by-step explanation:
[tex] f(x) = x^{-2} [/tex]
Let's rewrite the function in a more familiar way.
[tex] f(x) = \dfrac{1}{x^2} [/tex]
Domain:
We know that a denominator cannot equal zero, so we set the denominator equal to zero to find the values of x that must be excluded from the domain.
x^2 = 0
x = 0
The only value excluded from the domain is x = 0.
The domain is all reals except for zero.
Range:
Now that we know the domain is all real numbers except for 0, we look closely at the denominator.
What happens when you replace x with negative numbers? Since you are squaring x, all denominators will be positive. When you replace x with positive numbers, all denominators will also be positive. For values of x with a large absolute value, for example 1000, -1000, 1,000,000 or -1,000,000, as the absolute value of x increases, f(x) approaches zero. For values of x with a small absolute value, such as 0.0001, -0.0001, -0.00000001, or 0.00000001, as x approaches zero, f(x) approaches positive infinity.
The range is all positive real numbers.
Answer:
Domain: all real numbers except 0.
Range: all positive real numbers.
A snake accelerates from 2 m/s to 10 m/s in 4 seconds. What is the snake’s average acceleration?
Acceleration =‘change in speed / time:
Acceleration = (10-2)/4
Acceleration =8/4
Acceleration = 2 m/s^2
The coordinates of point T are (0,5). The midpoint of ST is (2,-2). Find the coordinates of point S.
Answer:
(4, -9)
Step-by-step explanation:
Find the distances between the x and y coordinates of point T and the midpoint:
2 - 0 = 2 (distance of x values)
-2 - 5 = -7 (distance of y values)
Add these two values to the coordinates of the midpoint:
2 + 2 = 4 (x value of point S)
-2 - 7 = -9 (y value of point S)
So, point S is at (4, -9)
Two objects were lifted by a machine. One object had a mass of 2000 grams, and was lifted at a speed of
2 m/sec. The other had a mass of 4000 grams and was lifted at a rate of 3 m/sec.
a. Which object had more kinetic energy while it was being lifted?
Answer:
The second object (4000 grams) had more kinetic energy
Step-by-step explanation:
Use the equation KE = 0.5mv², where m is the mass and v is the velocity.
Find the kinetic energy of the first object:
KE = 0.5(2000)(2 m/s)²
KE = 4000 J
Find the kinetic energy of the second object:
KE = 0.5(4000)(3 m/s)²
KE = 18000 J
So, the second object (4000 grams) had more kinetic energy.
The second object of mass 4000 grams will have more kinetic energy than the first mass.
What is kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
Use the equation KE = 0.5mv², where m is the mass and v is the velocity.
The kinetic energy of the first object:
KE = 0.5(2000)(2 m/s)²
KE = 4000 J
The kinetic energy of the second object:
KE = 0.5(4000)(3 m/s)²
KE = 18000 J
Therefore, the second object (4000 grams) had more kinetic energy.
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Graph -7+5y=35. khan acadmy forms of linear equations question. pls show work
The graph is a representation of how the value of the variable y vary.
Given that y is equal to a constant, 8.4, the graph is an horizontal line.
Response:
The graph of the linear equation -7 + 5·y = 35 having one variable is the graph of the horizontal line y = 8.4, attached.Which is the form of the given linear equation?The given equation is; -7 + 5·y = 35
The number of variables in the given equation is one (y), the
power of the variable is also one and the variable is y.
Therefore;
The value of the variable is a constant, in the form; y = c (constant)The graph of a constant y-value is a horizontal lineSolving the equation gives;
-7 + 5·y = 35
5·y = 35 + 7 = 42
[tex]y = \dfrac{42}{5} = \mathbf{8.4}[/tex]
The graph of the equation is the graph of the line, y = 8.4
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Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.
Answer:
12
Step-by-step explanation:
x + 1/4 x = 15
4/4 x + 1/4 x = 15
5/4 x = 15
x = 15 * 4/5
x = 12
Answer:
Its 12 trust me just did it
Step-by-step explanation:
Sarah and Jim leave a train station at the same time traveling 20mi/h faster that Jim’s train. After 3 hours the were 270 miles apart how fast was each train going
Answer:
speed of Jim's train = 35 mi/h
speed of Sarah's train = 35 +20 mi/h = 55 mi/hour
Step-by-step explanation:
Let the speed of Jim's train be x mi/h
Given, Sarah and Jim leave a train station at the same time traveling 20mi/h faster that Jim’s train.
speed of Sarah's train = x + 20 mi/h
we know distance = speed * time
time = 3 hours
distance traveled by Sarah's train = 3*(x+20) = 3x+60 miles
distance traveled by Jim's train = 3*x = 3x miles
It is not given that if trains are moving in same or opposite direction.
__________________________________
if they are travelling in same direction
Then, then distance between them = total distance traveled by
faster train - total distance traveled by
slower train = 3x +60 -3x = 60 miles
which is wrong as the two trains are 270 miles apart
hence, they are travelling in opposite direction
In this case
distance between them = total distance traveled by
faster train + total distance traveled by
slower train = 3x +60 + 3x = 6x + 60 miles
given that the trains are 270 miles apart
6x + 60 miles = 270 miles
6x = 270 - 60 = 210
x = 210/6 = 35
Thus, speed of Jim's train = 35 mi/h
speed of Sarah's train = 35 +20 mi/h = 55 mi/hour
When a number of oranges is divided among six girls, each gets four
oranges. How many oranges would each girl get if there were eight girls ?
Answer:
3
Step-by-step explanation:
ok first multiply 6 and 4 it becomes 24 then we divide 24 with 8.
PLEASE HELP!!!
Find the measure of WV¯¯¯¯¯¯¯¯¯. A. 8 B. 6 C. 7 D. 4
Answer:
[tex]\Huge \boxed{\mathrm{B. \ 6}}[/tex]
Step-by-step explanation:
We can apply the Intersecting Secant-Tangent Theorem.
TV is the secant.
VW is the tangent.
VW² = VT × VU
(x+6)² = (5+x+4) × (x+4)
Combine the terms in bracket.
(x+6)² = (x+9)(x+4)
Expand brackets on both sides of the equation.
x²+12x+36=x²+13x+36
Subtract x² from both sides.
12x+36=13x+36
Subtract 12x from both sides.
36=x+36
Subtract 36 from both sides.
0=x
WV = x+6
x=0
WV = 0+6 = 6
The measure of the tangent WV is 6.
4(x-2+y) what is this for the distributive property
Answer:
4x + 4y - 8
Step-by-step explanation:
4(x - 2 +y) = 4*x -4*2 + 4*y by the distributive property
Evaluate. (-3/4) to the third power
Answer:
- 27/64
Step-by-step explanation:
Third power = cubed = multiplying by itself three times
(-3/4)^3 = (-3/4) * (-3/4) * (-3/4) = 9/16 * (-3/4) = - 27/64
I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario. *
Answer:
The simplified expression to represent the scenario is Y = 4·X - 0.48·X
Step-by-step explanation:
The given parameters are;
The number of tickets required = 4
The amount of discount offered = 12%
Let the selling price = X
Therefore the amount paid for each ticket = X - X×12 %
Which gives;
The amount paid for each ticket = X - X×0.12
The amount paid for the four tickets = 4 × (X - X×0.12) = 4·X - 4×0.12·X = 4·X - 0.48·X
Whereby the amount paid for the four tickets = Y, we have;
Y = 4·X - 0.48·X
Which gives, the simplified expression to represent the scenario as Y = 4·X - 0.48·X.
Solve -x2 - 3x = 4 over the set of complex numbers
Answer:
[tex]\bold{x=\dfrac{-3\pm i\sqrt{7}}{2}}[/tex]
Step-by-step explanation:
Given quadratic equation is:
[tex]-x^2 - 3x = 4[/tex]
Rewriting the given equation:
[tex]-x^2 - 3x - 4 = 0[/tex]
OR
[tex]x^2 + 3x + 4=0[/tex]
Solution of a quadratic equation represented as [tex]ax^2+bx+c=0[/tex] is given as:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Comparing the given equation with standard equation:
a = 1
b = 3
c = 4
So, the roots are:
[tex]x=\dfrac{-3\pm\sqrt{3^2-4\times 1 \times 4}}{2\times 1}\\\Rightarrow x=\dfrac{-3\pm\sqrt{9-16}}{2}\\\Rightarrow x=\dfrac{-3\pm\sqrt{-7}}{2}[/tex]
[tex]\sqrt{-7 }[/tex] can be written as [tex]7\sqrt{-1}[/tex]
and [tex]\sqrt{-1} = i[/tex]
So, [tex]\sqrt{-7} = i\sqrt7[/tex]
The numbers containing [tex]i[/tex] in them, are called as complex numbers.
Therefore, the roots of the equation can be written as:
[tex]\Rightarrow \bold{x=\dfrac{-3\pm i\sqrt{7}}{2}}[/tex]