Answer:
so 6+30=36
we can use the distributive property
36-6=30
36-30=6
Hope This Helps!!!
En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.
Answer:
36 Km
Step-by-step explanation:
Por favor, encontrar el archivo adjunto
what is the value of k in which the expression k-22=13-61
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
3p²q - 6pq² help me please .
3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
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:
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
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
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°
If 120 learners took an examination, passes to fail is 17:3 : what percentage of learners passed
Answer:
85%
Step-by-step explanation:
First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.
17 +3 = 20
120/20 = 6
Each individual ratio is equal to 6.
17 * 6 = 102
3 * 6 = 18
102/120 = percentage of who passed
= 0.85
85 percent of learners passed.
What is the gradient of the line that passes through the points (4.2) and (0.4)
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]
[tex]=>\frac{4-2}{0-4}[/tex]
[tex]=> -\frac{1}{2}[/tex]
That's it. Hope that helped.
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 :)
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.
Three times a number x minus a half a second number y
Answer:
3x - y/2
Step-by-step explanation:
Given that a²+b²=34 and ab=15 , find the value of (a+b²).
Answer:
The numbers are 3 and 5
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
3^2=9
5^2=25
25+9=34
3*5=15
Answer:
64
Step-by-step explanation:
(a+b)²= a²+b²+2ab = 34+(2×15)= 64
What's the distance between the two points (0,-2) and (0,-9)
Solve for h
h(x)=a(x-h)^2+k
h(x)=x^2-8x+14
Answer:
h = 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
Given
h(x) = x² - 8x + 14
Express h(x) in vertex form by using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
h(x) = x² + 2(- 4)x + 16 - 16 + 14
= (x - 4)² - 2
Compare to h(x) = (x - h)² + k , then
h = 4
Find the area of a regular hexagon with radius length 8
For EASY BRAINLIEST!!!
Answer as many as you can !!
C) –7c^5 + 13c^5 + c^5=
Answer:
please mark as brilliant thanks for the above
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)
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
Anyone know the answer to this please?
Answer:
140 degrees
Step-by-step explanation:
The center angle of a semi circumference is 180 degrees
BC 180 - 20 - 20 = 180 - 40 = 140 degrees
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
Solve for x. Round to one decimal place
Answer:
x ≈ 27.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 54°
Opposite Leg = 22
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [sine]: sin54° = 22/x[Multiplication Property of Equality] Cross-multiply: x = 22/sin54°Evaluate: x = 27.1935Round: x ≈ 27.2The 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.
Find the measure of the angle indicated. PLSASE HELP !!!!
Answer:
Step-by-step explanation:
3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)
11x + 8 = 140
x = 140 - 8
x = 132 /11
x = 12
angle S = 3x + 4
=3*12 + 4
=36 + 4
=40 degree
89 + 5x - 7 = 14x + 1
82 + 5x = 14x + 1
82 - 1 = 14x - 5x
81 = 9x
81/9 = x
9 = x
angle H = 5x - 7
=5*9 - 7
=45 - 7
=38 degree
Answer:
15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)
140+<SRT=180
<SRT=40
NOW
<SRT+<STR+<RST=180
40+8X+4+3X+4=180
11X=132
X=12
SUBSTITUTING THE VALUE OF X IN <RST
3*12+4=40
HENCE,<S=40 DEGREE
SIMILARLY,
16.
<H=38 DEGREE
What is 1 1/8-3/4 also what is 3 5/8-2 7/8
Answer: 4.25
Step-by-step explanation: Conversion a mixed number 3 1/
8
to a improper fraction: 3 1/8 = 3 1/
8
= 3 · 8 + 1/
8
= 24 + 1/
8
= 25/
8
To find new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/
8
= 24/
8
b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 8.
Three and one eighth is twenty-five eighths
Conversion a mixed number 2 3/
8
to a improper fraction: 2 3/8 = 2 3/
8
= 2 · 8 + 3/
8
= 16 + 3/
8
= 19/
8
To find new numerator:
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8
= 16/
8
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 8.
Two and three eighths is nineteen eighths
Add: 25/
8
+ 19/
8
= 25 + 19/
8
= 44/
8
= 4 · 11/
4 · 2
= 11/
2
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/
2
.
In words - twenty-five eighths plus nineteen eighths = eleven halfs.
Conversion a mixed number 1 1/
4
to a improper fraction: 1 1/4 = 1 1/
4
= 1 · 4 + 1/
4
= 4 + 1/
4
= 5/
4
To find new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/
4
= 4/
4
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 4.
One and one quarter is five quarters
Subtract: the result of step No. 3 - 5/
4
= 11/
2
- 5/
4
= 11 · 2/
2 · 2
- 5/
4
= 22/
4
- 5/
4
= 22 - 5/
4
= 17/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - eleven halfs minus five quarters = seventeen quarters.
Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
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]