answer is 3
hope this helps
Theo is putting lights around a right triangular sign that has a base of 10 feet and a height of 9 feet. If a box of lights will cover 15 square feet, how many boxes will he need to buy?
Answer:
2 Boxs
Step-by-step explanation:
An item has an original price of $45, it is discounted 25%. What is the new price?
25% off $45 is $33.75
A window manufacturer claims that the seals break on only 4% of its windows. What is the probability that, in a sample of 10 windows, no seals will break?
Answer:
0.96
Step-by-step explanation:
Total samples of window = 10smaples
Total seal break = 4% of 10
Total seal break = 0.04 * 10
Total seal break = 0.4
THis means that no seal will be break on 96% of the window i.e 9.6 windows
The probability that, in a sample of 10 windows, no seals will break is expressed
as;
Pr(no seal will break) = 9.6/10
Pr(no seal will break) = 0.96
Hence the probability that no seals will break is 0.96
A bag contains only red, green, brown and yellow marbles. The probabilities of selecting each colour are shown below. Colour Red Green Brown Yellow Probability 0.2 0.3 x 0.1 Find the probability of selecting a brown marble.
Answer:
0.4
Step-by-step explanation:
Given that:
Probability of :
Red _____Green ___ Brown _____ Yellow
0.2 ______ 0.3 ______ X ________ 0.1
Since the bag contains only red, green, brown and yellow marbles ;
The sum of each color's probability should sum up to 1;
ΣP(x) = 1
Hence,
0.2 + 0.3 + x + 0.1 = 1
0.6 + x = 1
x = 1 - 0.6
x = 0.4
P(brown) = 0.4
Helpp noww pleasee!! 30 pointss
Answer:
729
Step-by-step explanation:
Answer:
78°
Step-by-step explanation:
angle CAW=180-168
angle CAW=12
angle DWB=12 vertically opposite to angle CAW
Sum of angles at a point=360
168+12+12+90+w=360
282+w=360
Collect like terms
w=360-282
w=78
Please do number 13 for me
Which equation represents the line shown on the coordination grid below
Answer:
a
Step-by-step explanation:
mx+c
c is y intersect in this case -2
m is gradient, in this case its positive, therefore a
please help me solve this
Answer: x = 16/17; y = 1/17
condition: x,y > 0
we have:
[tex]\left \{ {{\sqrt{\frac{x}{y} } =4} \atop {\frac{1}{x}+\frac{1}{y}=\frac{1}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{1}{x}+\frac{1}{y} =\frac{1}{xy} }} \right.[/tex]
because x > 0, multiply x by the second equation, we have:
[tex]\left \{ {{\frac{x}{y} =16} \atop {x(\frac{1}{y}+\frac{1}{x}) =\frac{x}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\<=>\left \{ {{\frac{x}{y} +1=17} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\=>\left \{ {{17-\frac{1}{y} =0} \atop {\frac{x}{y} =16}} \right.\\\\<=>\left \{ {{\frac{1}{y} =17} \atop {x=16y}} \right.\\\\<=>\left \{ {{y=\frac{1}{17} } \atop {x=\frac{16}{17} }} \right.[/tex]
Step-by-step explanation:
Piece of Cake!
Solve this problem:
A cake has 79 slices.
Harry ate 47 slices; Jack ate 14 slices; Dave ate 10 &
Mary ate 8 slices.
What fraction of the cake is remaining?
Answer:
none/0
Step-by-step explanation:
they ate all the cake.
now harry is gonna get sick
Answer:
79/79 or 1
Step-by-step explanation:
47+14+10+8=79
If Harry, Jack, Dave, and Mary all ate 79 slices in total, then there would be no more cake left since there are only 79 slices. The fraction answer would be 79/79 or 1, because they 79/79 is equivalent to 1.
2000:$5.00 2015:6.50 what is the change in the cost of the cheeseburger
Q2 - With decimals
Work these simultaneous equations out
on paper and write down your answers.
The cost of 8 CDs and 7 DVDs is
$113.50.
The cost of 12 CDs and 8 DVDs is
$153.
a =
10a + 3b = 31
15a + 4b = 45
b =
m =
4m + 10n = 83
9m + 6 = 96
n =
p =
8p + 59 = 27
12p + 40 = 51
All the CDs are the same price and
all the DVDs are the same price.
q=
Find the cost of one of each.
6S + 7t = 42
S =
1 CD is $
8s + 3t = -1
t =
[8]
[4]
1 DVD is $
Answer:
Simplify the following algebraic expressions.
- 6x + 5 + 12x -6
2(x - 9) + 6(-x + 2) + 4x
3x2 + 12 + 9x - 20 + 6x2 - x
(x + 2)(x + 4) + (x + 5)(-x - 1)
1.2(x - 9) - 2.3(x + 4)
(x2y)(xy2)
(-x2y2)(xy2)
Solution
Group like terms and simplify.
- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - by
Solution
Use rules of exponential to simplify the numerator first.
(a b2)(a3 b) / (a2 b3) = (a4 b3) / (a2 b3)
Rewrite as follows.
(a4 / a2) (b3 / b3)
Use rule of quotient of exponentials to simplify.
= a2
Rewrite as follows.
(21 x5) / (3 x4) = (21 / 3)(x5 / x4)
Simplify.
= 7 x
(6 x4)(4 y2) / [ (3 x2)(16 y) ]
Multiply terms in numerator and denominator and simplify.
(6 x4)(4 y2) / [ (3 x2)(16 y) ] = (24 x4 y2) / (48 x2 y)
Rewrite as follows.
= (24 / 48)(x4 / x2)(y2 / y)
Simplify.
= (1 / 2) x2 y
Factor 4 out in the numerator.
(4x - 12) / 4 = 4(x - 3) / 4
Simplify.
= x - 3
Factor -5 out in the numerator.
(-5x - 10) / (x + 2) = - 5 (x + 2) / (x + 2)
Simplify.
= - 5
Factor numerator and denominator as follows.
(x2 - 4x - 12) / (x2 - 2x - 24) = [(x - 6)(x + 2)] / [(x - 6)(x + 4)]
Simplify.
= (x + 2) / (x + 4) , for all x not equal to 6
Solve for x the following linear equations.
2x = 6
6x - 8 = 4x + 4
4(x - 2) = 2(x + 3) + 7
0.1 x - 1.6 = 0.2 x + 2.3
- x / 5 = 2
(x - 4) / (- 6) = 3
(-3x + 1) / (x - 2) = -3
x / 5 + (x - 1) / 3 = 1/5
Solution
Divide both sides of the equation by 2 and simplify.
2x / 2 = 6 / 2
x = 3
Add 8 to both sides and group like terms.
6x - 8 + 8 = 4x + 4 + 8
6x = 4x + 12
Add - 4x to both sides and group like terms.
6x - 4x = 4x + 12 - 4x
2x = 12
Divide both sides by 2 and simplify.
x = 6
Expand brackets.
4x - 8 = 2x + 6 + 7
Add 8 to both sides and group like terms.
4x - 8 + 8 = 2x + 6 + 7 + 8
4x = 2x + 21
Add - 2x to both sides and group like terms.
4x - 2x = 2x + 21 - 2x
2x = 21
Divide both sides by 2.
x = 21 / 2
Add 1.6 to both sides and simplify.
0.1 x - 1.6 = 0.2 x + 2.3
0.1 x - 1.6 + 1.6 = 0.2 x + 2.3 + 1.6
0.1 x = 0.2 x + 3.9
Add - 0.2 x to both sides and simplify.
0.1 x - 0.2 x = 0.2 x + 3.9 - 0.2 x
- 0.1 x = 3.9
Divide both sides by - 0.1 and simplify.
x = - 39
Multiply both sides by - 5 and simplify.
- 5(- x / 5) = - 5(2
What is the y intercept of the line - 4 x + 6 y = - 12?
Solution
Set x = 0 in the equation and solve for y.
- 4 (0) + 6 y = - 12
6 y = - 12
y = - 2
y intercept: (0 , - 2)
What is the x intercept of the line - 3 x + y = 3?
Solution
Set y = 0 in the equation and solve for x.
- 3 x + 0 = 3
x = -1
x intercept: (-1 , 0)
What is point of intersection of the lines x - y = 3 and - 5 x - 2 y = - 22?
Solution
A point of intersection of two lines is solution to the equations of both lines. To find the point of intersection of the two lines, we need to solve the system of equations x - y = 3 and -5 x - 2 y = -22 simultaneously. Equation x - y = 3 can be solved for x to give
x = 3 + y
Substitute x by 3 + y in the equation - 5 x - 2 y = -22 and solve for y
-5 (3 + y) - 2 y = - 22
-15 - 5 y - 2 y = - 22
-7 y = - 22 + 15
-7 y = - 7
y = 1
Substitute x by 3 + y in the equation -5 x - 2 y = - 22 and solve for y
x = 3 + y = 3 + 1 = 4
Point of intersection: (4 , 1)
For what value of the constant k does the line - 4 x + k y = 2 pass through the point (2,-3)?
Solution
For the line to pass through the point (2,-3), the ordered pair (2,-3) must be a solution to the equation of the line. We substitute x by 2 abd y by - 3 in the equation.
- 4(2) + k(-3) = 2
Solve the for k to obtain
k = - 10 / 3
What is the slope of the line with equation y - 4 = 10?
Solution
Write the given equation in slope intercept form y = m x + b and identify the slope m.
y = 14
It is a horizontal line and therefore the slope is equal to 0.
What is the slope of the line with equation 2 x = -8?
Solution
The above equation may be written as
x = - 4
It is a vertical line and therefore the slope is undefined.
Find the x and y intercepts of the line with equation x = - 3?
Solution
The above is a vertical line with x intercept only given by
(-3 , 0)
Find the x and y intercepts of the line with equation 3 y - 6 = 3?
Solution
The given equation may be written as
y = 3
The above is a horizontal line with y intercept only given by
(0 , 3)
What is the slope of a line parallel to the x axis?
Solution
A line parallel to the x axis is a horizontal line and its slope is equal to 0.
What is the slope of a line perpendicular to the x axis?
Solution
A line perpendicular to the x axis is a vertical line and its slope is undefined
Step-by-step explanation:
y = -22 and solve for y
-5 (3 + y) - 2 y = - 22
-15 - 5 y - 2 y = - 22
-7 y = - 22 + 15
-7 y = - 7
y = 1
This diagram illustrates an unfolded part of a greeting card,
What is its area ?
Please help and show work
Answer:
254.34 in²
Step-by-step explanation:
The diameter is 18, so the radius is 9. The formula for circumference is [tex]\pi r^{2}[/tex]. 9 squared is 81. 81 x 3.14 is 254.34.
Hope it helps!
What is the coefficient of the second term of the trinomial? (In other words, what is B?)
(3x − 1)^2 = 9x^2 −Bx + 1
In the blank, write what B equals. Use only numbers - no letters or spaces.
Answer:
b = 6
Step-by-step explanation:
Let's solve for b.
(3x−1)2=9x2−bx+1
Step 1: Flip the equation.
−bx+9x2+1=9x2−6x+1
Step 2: Add -9x^2 to both sides.
−bx+9x2+1+−9x2=9x2−6x+1+−9x2
−bx+1=−6x+1
Step 3: Add -1 to both sides.
−bx+1+−1=−6x+1+−1
−bx=−6x
Step 4: Divide both sides by -x.
b = 6
Hope this helpss!!!
Write the equation in standard form using integers.
y = - 2/3x -5
The equation in standard form is
what is the answer for
-7+x/3=-13
Answer:
x = - 18
Step-by-step explanation:
Given
- 7 + [tex]\frac{x}{3}[/tex] = - 13 ( add 7 to both sides )
[tex]\frac{x}{3}[/tex] = - 6 ( multiply both sides by 3 to clear the fraction )
x = - 18
Answer:
x = -32 or x = -18 Depends on how the equation is written
Step-by-step explanation:
-7 + x/3 = -13
Find the answer by solving for x.
If the equation is written like this:
[tex]\frac{-7+x}{3} = -13[/tex] Multiply both sides by 3 and add 7 to both sides
x = -32
Or if the equation is written like this:
[tex]-7+\frac{x}{3} =-13[/tex] Add 7 to both sides and then multiply by 3
x = -18
What is 2 9/12×6=.........
Step-by-step explanation:
2 9/12×6=(2×12+9)/12×6=33×6/12=33/2=16.5is answer
Which expression represents: the sum of the two products, 6 times y and 19 times n (6y)(19) (6 + 19) + n) Oby- 19n 6y + 19n
Answer:
Sooooooo simple, jus figure it out :)
42 push ups in 3 minutes. Preform unit rate. How many can she do in five minutes?
Answer:
70 pushups in 5 mins.
Step-by-step explanation:
42 ÷ 3 = 14
So you can do 14 pushups in one minute.
14 × 5 = 70
good luck, i hope this helps :)
Solve the following system of equations.
18x+6y=3018x+6y=30
18x+22y=1418x+22y=14
Answer:
(2, -1)Step-by-step explanation:
Given system
18x+6y=30 18x+22y=14Solve by elimination, subtract the equations and solve for y:
18x + 6y - 18x - 22y = 30 - 14-16y = 16y = -1Find x by substituting y:
18x + 6(-1) = 3018x - 6 = 3018x = 36x = 36/18x = 2The answer is: (2, -1)
Which expression is equivalent to 2x - 1/3(12x - 30)?
A. 2(x - 5)
B. -2(x + 5)
C. -2(x - 5)
D. 2(x + 5)
Answer:
C
Step-by-step explanation:
Calculator
I need help wioth my moms mom
Answer:
whats up? whatja need help with
Step-by-step explanation:
2/3 - 1/3 what the difference
Answer:
2/3 begins w a 2 and 1/3 begins w a 1. thats the difference.. hope this helped :)
Step-by-step explanation:
Answer:
.3333333
Step-by-step explanation:
because u have to math ight
Five integers have a mean of 8. The
integers are 7, 3, 10, 13, X. Find the
value of x.
Using two numbers 40 and 32 what is the ratio
Answer:
80%
Step-by-step explanation:
How much is 32 out of 40 written as a percent value? Convert fraction (ratio) 32 / 40 Answer: 80%
Given the function f(x)=-x^2-5x+12f(x)=−x 2 −5x+12, determine the average rate of change of the function over the interval -5\le x \le 4−5≤x≤4.
Given:
The function is
[tex]f(x)=-x^2-5x+12[/tex]
To find:
The average rate of change of the function over the interval −5 ≤ x ≤ 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Putting x=-5 in the given function, we get
[tex]f(-5)=-(-5)^2-5(-5)+12[/tex]
[tex]f(-5)=-25+25+12[/tex]
[tex]f(-5)=12[/tex]
Putting x=4 in the given function, we get
[tex]f(4)=-(4)^2-5(4)+12[/tex]
[tex]f(4)=-16-20+12[/tex]
[tex]f(4)=-24[/tex]
Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is
[tex]m=\dfrac{f(4)-f(-5)}{4-(-5)}[/tex]
[tex]m=\dfrac{-24-12}{4+5}[/tex]
[tex]m=\dfrac{-36}{9}[/tex]
[tex]m=-4[/tex]
Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.
The height odf a regtangular pyramid is 4 inches. The base of the pyramid measures 9 inches by 9 inches. What is the volume of the rectagular pyramid in cubic inches?
Answer:
[tex]V=108\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
The height of a rectangular pyramid is 4 inches
The base of the pyramid measures 9 inches by 9 inches.
We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Substitute all the values,
[tex]V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3[/tex]
So, the volume of the rectangular pyramid is [tex]108\ \text{inches}^3[/tex].
Hola me podrían ayudar por favor. Convertir las fracciones a decimales y ubicar a los decimales en la recta numérica. a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 d. -7/4
Answer:
Step-by-step explanation:
a decimal
2/3 = 0.7
8/5 = 1.6
-5/2 = -2.5
7/4 = 1.8
9/2 = 4.5
-11/3 = -3.7
13/5 = 2.6
-7/4 = -1.8
Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.
- ________________________________________________________ +
| | | | | | | | | | | | | | | | | | |
-5 -4 -3.7 -3 -2.5 -2 -1.8 -1 0 0.7 1 1.6 1.8 2 2.6 3 4 4.5 5
Use the graph to tell whether the linear system has one solution, no solution, or infinitely man solutions.
Please help
At a store, a desk is being sold at a 35% discount. The sale
price is $503.75. What was its original price before the sale?
Answer:
If you got 35% off, you only paid 65% of the original price. Call that x. Then we write
x = $468 / .65 = $720 is the original price.
\