Answer:
A. 2x - (4x + 3) = 12
Step-by-step explanation:
A. 2x - (4x + 3) = 12
B. -4(4y+)+y=3
C. 2 (4x+3) - y
D. -4x+4 x-3=3
Given equation:
-4x+y = 3. (1)
2x - y = 12. (2)
From (1)
y = 3 + 4x
Substitute y = 3 + 4x into (2)
2x - y = 12 (2)
2x - (3 + 4x) = 12
Or
2x - (4x + 3) = 12
2x - 4x - 3 = 12
- 2x = 12 + 3
- 2x = 15
x = 15/-2
x = -7.5
Substitute x = -7.5 into (1)
-4x+y = 3 (1)
-4(-7.5) + y = 3
30 + y = 3
y = 3 - 30
y = -27
The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.
Which gives the correct values for points A,B,C, and D?
Answer:
The answer would be A
Step-by-step explanation:
Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error
Answer:
5%
Step-by-step explanation:
Percent error = (actual - estimated) / actual x 100
(240 - 228) / 240 x 100 = 5%
Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79
Answer:
0.7
Step-by-step explanation:
7/9 = 0.7
Answer:
0.7 (with the repeating sign on the 7)
Step-by-step explanation:
peter collects antique marbles. he has these two boxes full of marbles
Answer:
3 marbles
Step-by-step explanation:
and they have died inside too
1. Identify the following numbers as rational or irrational.
a. -15.4
b. 27/5
c. 0.99999....
d. V
The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?
Answer:
(3, 0)
Step-by-step explanation:
A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.
The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:
[tex]4p(y-k)=(x-h)^2[/tex]
The directrix is at y = k - p, and focus is at (h, k + p).
Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:
[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]
Comparing with the standard form:
The center = (h, k) = (3, 4)
Also, -16 = 4p
p = -4
Directrix is at y = k - p = 4 - (-4) = 8
Directrix is at y = 8
The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)
The focus is at (3, 0)
Given m||n, find the value of x and y
Answer:
x=20,y=34
Step-by-step explanation:
x+14=2x-6 (vertically opposite angles)
x-2x = -6-14
-x = -20
x=20
x+14=y (corresponding angles)
20+14=y
y=34
Answer:
x = 20, y = 34
Step-by-step explanation:
(2x - 6) and (x + 14) are vertical angles and are congruent, then
2x - 6 = x + 14 ( subtract x from both sides )
x - 6 = 14 ( add 6 to both sides )
x = 20
Then
2x - 6 = 2(20) - 6 = 40 - 6 = 34
y and (2x - 6) are alternate angles and are congruent , so
y = 34
In the circle below, AD is a diameter and AB is tangent at A. suppose mADC=228. Find the measures of mCAB and mCAD. Type your numerical answers without units in each blank
Answer:
m∠CAB = 66°
m∠CAD = 24°
Step-by-step explanation:
m∠CAB
The given parameters are;
The measure of arc m[tex]\widehat{ADC}[/tex] = 228°
The diameter of the given circle = [tex]\overline{AD}[/tex]
The tangent to the circle = [tex]\underset{AB}{\leftrightarrow}[/tex]
The measure of m∠CAB and m∠CAD = Required
By the tangent and chord circle theorem, we have;
m∠CAB = (1/2) × m[tex]\widehat{AC}[/tex]
However, we have;
m[tex]\widehat{AC}[/tex] + m[tex]\widehat{ADC}[/tex] = 360° the sum of angles at the center of a circle is 360°
∴ m[tex]\widehat{AC}[/tex] = 360° - m[tex]\widehat{ADC}[/tex]
Which gives;
m[tex]\widehat{AC}[/tex] = 360° - 228° = 132°
m[tex]\widehat{AC}[/tex] = 132°
Therefore;
m∠CAB = (1/2) × 132° = 66°
m∠CAB = 66°
m∠CAD
Given that [tex]\overline{AD}[/tex] is the diameter of the given circle, we have
The tangent, [tex]\underset{AB}{\leftrightarrow}[/tex], is perpendicular to the radius of the circle, and therefore [tex]\underset{AB}{\leftrightarrow}[/tex] is also perpendicular to the diameter of the circle
∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines
By angle addition property, we have;
m∠DAB = m∠CAB + m∠CAD
∴ m∠CAD = m∠DAB - m∠CAB
By substitution, we have;
m∠CAD = 90° - 66° = 24°
m∠CAD = 24°
Which graph represents y as a function of x?
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.
what is energy efficiency
Answer:
The goal to reduce the amount of energy used to provide products and services; saving the earth vibes.
Daniel trabalha em um zoológico e cuida da parte tá comida dos leões . nesse zoológico, a quantidade de carne que eles consomem é proporciao ao seu peso. Se um dos leões pesa 18arroubas, qual o corespondente em kg
Answer:
270kg!
Step-by-step explanation:
calculate (4.8×10⁵)÷(1.2×10³),give your answer in standard form to 3 significant figures
Step-by-step explanation:
pleae mark as brain list please give me some thanks please
[tex]{(\frac{4}{3}) ^{-1} - (\frac{1}{4} )^{-1})}^{-1}[/tex]
Pls include steps
Step-by-step explanation:
(4/3)–1 = 3/4 and (1/4)–1 = 4/1
now we have,
(3/4 - 4)–1 = (-13/4)–1
= -4/13
A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them
Answer:
15m
Step-by-step explanation:
did the math
Three times a number x minus a half a second number y
Answer:
3x - y/2
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 46°
Step-by-step explanation:
64° + 70° + x = 180°
x = 180° - 64° - 70°
x = 46°
y=5/2x-5/6
find the slope and simplify
Answer:
5/2
Step-by-step explanation:
The slope of this equation is 5/2
in isosceles Triangle RST below what is the value of y
Answer:
second option
Step-by-step explanation:
y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)
2y = 180 - 38
y = 142/2
y = 71 degree
Answer:
71 degrees
Step-by-step explanation:
Hi there!
All the interior angles of a triangle add up to 180 degrees.
Knowing this, we can construct the following equation:
[tex]180=y+y+38\\180=2y+38[/tex]
Subtract 38 from both sides
[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]
I hope this helps!
Which function is a quadratic function?
O p(x) = 2x(x2 + 6) + 1
m(x) = -4(x + 3) - 2
Ot(x) = -8x²(x2 – 6) + 1
Oh(x) = 3x(x - 2) - 4
Find the size of the angle below
Answer:
i wish i could tell you
Step-by-step explanation:
find the area of a circle diameter equals to 30 cm
Answer:
225Pi (in terms of Pi)
Or
706.5cm
Step-by-step explanation:
Area = Pi * radius^2
Radius is half of the diameter, so it is 15.
Area = Pi*15^2
Which is:
225Pi
Or
706.5
Answer:
The area of the circle is
[tex]225\pi[/tex]
Step-by-step explanation:
The diameter equals 30 cm, so the radio equals 15 cm.
The formula of the circle area is
[tex]\pi \times {r}^{2} [/tex]
Then,
[tex]\pi \times {15}^{2} = 225\pi[/tex]
Simplify 6V 80.
0 6+16 51
0 6+415
0 6+1615
O 6+4v5i
Answer:
2nd option
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Simplifying the radical
[tex]\sqrt{-80}[/tex]
= [tex]\sqrt{16(5)(-1)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]
= 4 × [tex]\sqrt{5}[/tex] × i
= 4i[tex]\sqrt{5}[/tex]
Then
6 + [tex]\sqrt{-80}[/tex]
= 6 + 4i[tex]\sqrt{5}[/tex]
Please answer quickly this is due today and I just can’t figure it all out!!
In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities
Answer:
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Step-by-step explanation: Good luck and hope this helps :)
Evaluate: 5 + 2 • 42?
5 + ( 2 × 42 ) =
5 + 84 =
89
.....
.....
Answer:
89
Step-by-step explanation:
So we will follow PEMDAS in this exact order:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
5 + 2 • 42 Equation
5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication
5 + 84 We have no division so we move on to addition
= 89 We have no subtraction so this is our final answer
What is the range of the function?
O all real numbers
O all real numbers greater than 0
O all real number less than or equal to 0
O all real numbers greater than or equal to 0
The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of this rectangle.
Answer:
L = 31.5 w = (4/7)31.5 = 18 p = 2 * 31.5 + 2 * 18 A = 31.5 * 18
Step-by-step explanation:
During a single day at radio station WMZH, the probability that a particular song is played is 6/7. What is the probability that this song will be played on at least 5 days out of 6 days? Round your answer to the nearest thousandth.
Answer:
The required probability is 0.462.
Step-by-step explanation:
Probability to play the song = 6/7
Probability not to play the song = 1 - 6/7 = 1/7
Required probability
= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days
[tex]=\left (\frac{6}{7} \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7} \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462[/tex]
Which expression can be used to convert 100 USD to Japanese?
Answer:The expression that can be used to convert 100 USD to Japanese Yen is 100 USD = 100/Y Japanese Yen.
Step-by-step explanation:
what is 5\8 divided by 1\4
Answer:
2.5
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
5/8 ÷ 1/4
Copy dot flip
5/8 * 4/1
Rewriting
5/1 * 4/8
5/1 * 1/2
5/2
Writing as a mixed number
2 1/2