Answer:
3x + 12
Step-by-step explanation:
This is an 'expression' ...there is no 'answer' but it can be re-arranged
3(x+4) = 3 * x + 3 * 4 = 3x + 12
Hey there!
3(x + 4)
= 3(1x + 4)
DISTRIBUTE 3 WITHIN the PARENTHESES
= 3(1x) + 3(4)
= 3(x) + 3(4)
= 3x + 12
Therefore, the answer should be:
3x + 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
If a perfume store currently sells perfume for $30 a bottle and averages 2000 bottles sold per month, what sales might they anticipate if they raise the price to $40 a bottle
The sales they might anticipate if they raise the price to $40 a bottle is $1,500.
Anticipated salesUsing this formula
Anticipated sales=(Current selling price÷Increase in price)×Number of bottle sold
Let plug in the formula
Anticipated sales=($30÷$40)×2,000
Anticipated sales=$0.75×2,000
Anticipated sales=$1,500
Therefore the sales they might anticipate if they raise the price to $40 a bottle is $1,500.
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4w<32
Help about to fail my math class lol
You flip a coin and then roll a 6-sided number cube (a die).
Find the probability of rolling a four and getting heads.
A 13-foot ladder is leaning against a building, forming a right triangle.
The height where the ladder touches the building is seven feet more
than the distance from the base of the ladder to the building. At what
height does the ladder touch the building?
The height from the ground at which the ladder touched the building is 12feet.
What is a right-angled triangle?A right-angled triangle is a type of triangle that has three sides and one of its three angles as 90°.
Analysis:
The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.
let x, be the distance from the foot of the building to the foot of the ladder.
x+7 = height of ladder from building to foot of building.
length of ladder = 13 feet
using Pythagoras, we have
[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]
169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49
169 = 2[tex]x^{2}[/tex] + 14x + 49
2[tex]x^{2}[/tex] + 14x = 169-49
2[tex]x^{2}[/tex] + 14x = 120
divide through by 2
[tex]x^{2}[/tex] + 7x - 60 = 0
[tex]x^{2}[/tex] +12x -5x - 60 = 0
(x+12) -5(x+12) = 0
(x+12)(x-5) = 0
x = -12 or 5
Since measurement cannot be negative, therefore x = 5
Height the ladder touches the building is x+7 = 5+7 = 12 feet
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f(x)
=
2x + 7 - x2
4
f(2)
=
Be sure to simplify your answer.
Enter
Answer:
[tex]f(2)=\frac{7}{4}[/tex]
Step-by-step explanation:
Step 1: Input 2 for x and solve
[tex]f(x) = \frac{2x + 7 - x^2}{4}[/tex]
[tex]f(2) = \frac{2(2) + 7 - (2)^2}{4}[/tex]
[tex]f(2)=\frac{4+7-4}{4}[/tex]
[tex]f(2)=\frac{7}{4}[/tex]
Answer: [tex]f(2)=\frac{7}{4}[/tex]
The surface area of a sphere is 1,017.36 square inches. What is the volume of the sphere? Use 3.14 for pi
HELP
type of equation:
equation:
f(5)=
Answer:
Types of Equations and Examples
Types of Equations and Examples
There are various types of equations, such as,
Linear equation
Equation with one variable
Equation with two variables
Equation with three variables
Polynomial equation
Monomial Equations
Binomial Equation
Trinomial Equation
Quadratic equation
Trigonometric equation
Radical equation
Exponential equation
Rational equation
types of equations
types of equations
1. Linear Equation:
A linear equation is an algebraic equation. In linear equation, each term is either a constant or the product of a constant and a single variable. If there are two variables, the graph of linear equation is a straight line.
General form of the linear equation with two variables is given below:-
y = mx + c, m ≠ 0.
Equation with one Variable: An equation who have only one variable, e.g.
12x – 10 = 0
Step-by-step explanation:
What is the solution to 2x²+8x=x²-16?
Ox=-4
Ox=-2
Ox=2
Ox=4
Answer:X is equal to -4 twice
Step-by-step explanation:
The solution to the equation 2x² + 8x = x² - 16 is x = -4.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation 2x² + 8x = x² - 16, we first simplify it by moving all the terms to one side:
2x² + 8x - x² + 16 = 0
Simplifying further, we get:
x² + 8x + 16 = 0
This is a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = 8, and c = 16.
We can solve this equation by factoring it:
(x + 4)(x + 4) = 0
This gives us two solutions:
x + 4 = 0 or x + 4 = 0
x = -4 or x = -4
Therefore,
The solution to the equation 2x² + 8x = x² - 16 is x = -4.
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I need help. Please and thank you
Answer:
3/4
Step-by-step explanation:
Subtract 3 2/4 from 2 3/4
- Multiply 3 and 4 to get 12.
- Add 12 and 2 to get 14.
- Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.
- Multiply 2 and 4 to get 8.
- Add 8 and 3 to get 11.
- Least common multiple of 2 and 4 is 4. Convert 7/2 and 11/4 to fractions with denominator of 4
- Since 14/4 and 11/4 have the same denominators, subtract both by subtracting their numerators
- Subtract 11 from 14 to get 3
40) through: (-5, 2), slope
1
5
Answer:
y = 1/5x + 3
Step-by-step explanation:
y = mx + b
m: slope = 1/5
b: y - intercept
(x, y): (-5, 2)
2 = 1/5(-5) + b
2 = -1 + b
add 1 to both sides to get b alone
2 + 1 = -1 + b + 1
3 = b
A ring-shaped region is shown below.
Its inner diameter is 16 ft. The width of the ring is 2 ft.
it
16 ft
Find the area of the shaded region.
Use 3.14 for . Do not round your answer.
X5?
Answer:
Area = 213.52 sq.ft
Step-by-step explanation:
[tex]A_{s} =\pi (18)^{2} -\pi (16)^{2} =324\pi -256\pi =68\pi[/tex]
[tex]\pi =3.14[/tex]
[tex]A_{s} =68(3.14)=213.52sq.ft[/tex]
Hope this helps
Answer:
113.04 ft²
Step-by-step explanation:
The area of the ring can be found by multiplying its center-line length by its width.
__
The diameter of the circle that is the center-line of the ring is ...
16 ft + 2 ft = 18 ft . . . . center-line diameter
The length of the center-line is then ...
C = πd
C = 3.14(18 ft) = 56.52 ft
And the area of the ring is ...
A = LW = (56.52 ft)(2 ft) = 113.04 ft²
The shaded area is 113.04 square feet.
8. (06.04 MC)
Calculate the area of triangle ABC with altitude BD, given A (-6,0), B (0,0), C (0,6), and D (-3,3). (5 points)
18 square units
21 square units
9 square units
18.5 square units
Check the picture below.
the area of the triangle whose base is AC and height is BD, is the same area of the triangle whose base is AB and altitude is BC, namely
[tex]A=\cfrac{1}{2}(\stackrel{b}{6})(\stackrel{h}{6})\implies 18[/tex]
express one hour in seconds,in standard form
Answer:
Hi! There are 3600 seconds in one hour.
Step-by-step explanation:
60 min. = one hour
60 seconds = one minute
:)
In a poll of Mr. Briggs’s math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school. Explain why this is not a valid conclusion and suggest a way to gather better data to determine what subject is most popular.
This is not a valid conclusion because the data was not randomly collected from various classes in the school but from a particular class.
Collection of data for a research workThe collection of data for a research work should be done in such a way as to include a good number of the test subjects.
The sampling methods that can be used to gather better data include the following:
Random sampling,Cluster sampling, andSystematic sampling methods.These methods will ensure that a good number of the test subjects are included in the research work in order to form a valid conclusion.
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Tara made a scale drawing of a boarding school. she used the scale 1 centimeter : 7 meters. a building at the school is 12 centimeters long in the drawing. how long is the actual building?
Answer:
84cm
Step-by-step explanation:
Given that;
1cm = 7m
12cm = x
Cross Multiply
x = 12×7
x = 84m
I need help! A flagpole casts a shadow 25 feet long and the angle of elevation of the sun is 72 degrees. Find the height of the flagpole to the nearest foot.
Answer:
From the diagram you can see that we have constructed a right triangle, with height A and base 15.Length of shadow = 15 feet.Height of flagpole = A.We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.tan(40∘)=oppositeadjacent=A15∴tan(40∘)=A15Rearranging:A=15tan(40∘)By calculator:A=12.59 feet. ( 2 d.p.)
How many different combinations of six people can sit in four chairs?
assume one person sits in each chair.
Answer:
15Step-by-step explanation:
the number of combinations of 4 people we can form from 6 is :
[tex]C^{4}_{6}=\frac{6!}{4!\left( 6-4\right) !} = 15[/tex]
The function h(t) = -4t^2 + 20t represents the height (in feet) of an athlete t seconds after pole vaulting. after how many seconds does the athlete reach his or her maximum height?
Answer:
2.5 seconds.
Step-by-step explanation:
h(t) = -4t^2 + 20t
= -4(t^2 - 5t)
Convert to vertex form by completing the square:
h(t) = -4[(t - 2.5t)^2 - 6.25]
= -4(t - 2.5)^2 + 25 <--------- vertex form
So the vertex is at the point (2.5, 25).
So the athlete reaches the maximum height ( of 25 feet), after 2.5 seconds.
y X X
y = 85 when x = 17
Using the information above, write an equation for y in terms of x.
y=
?
Answer:
y= x5
Step-by-step explanation:
y = 5 times the number of x.
3.3 Factorise fully: 3.3.1 x²-x-6
Answer:
(x-3)(x+2)
Step-by-step explanation:
¹ you open brackets.
² you put the "x" in both brackets
³ you then check for factors, that will give you a "6" when you multiply them and give you the "x" when you add or subtract them.
The number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:
B(d)= 2425e to the power of 0.15 d
How many days will it take for the bacteria to reach 3,700?
The time taken by the bacterias to reach 3,700 will be 2.81 days.
What will be the time?
It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:
[tex]B(d)=2425\ e^{0.15d[/tex]
[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]
d = 2.81 days
Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.
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Having a hard time finding the Surface Area, help?
(Formula is SA=hp+2B)
Answer:
89.3 cm. sq.
Step-by-step explanation:
Just find the area of each face and then add those areas together.
hope this helps
have a good day
17. Write interval notation for the given graph.
Answer:
D
Step-by-step explanation:
The interval notation for the graph :
-5 ≤ x ≤ 7[5, 7]
19. Find the x- and y-intercepts of the equation -x + 2y = 8. Write your answers as ordered pair.
Fractional Area
What fraction of the square's total area
is shaded?
Answer:
7/32
Step-by-step explanation:
1. it has at least 10 values. 2. it has at least 3 values that are different. 3. it has a mean and median of 12.
Answer: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
Step-by-step explanation:
First, we can ensure that 12 is the median by putting it in the middle and putting the same amount of numbers to its left and right side. To make the values have a mean of 12, the easy why to do it is to subtrate one as you move to the left and add one as you move to the right, that way they will cancel each other out and keep the mean at 12. The answer has a total of 11 values, has more than 3 values that are different, and has a mean and median of 12.
7+8+9+10+11+12+13+14+15+16+17=132
132/11=12
There are 5 values to each side of 12, making 12 the median.
Yo anyone from United States I gotta question
what's your question question question
The mosaic had a 7 × 7 array of different color square tiles. If each tile is 3
1
2
ft long, what is the area of the whole mosaic
Answer:
441 square feet.
Step-by-step explanation:
Area = length times width. Both length and width are 21 feet (3×7).
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф = [tex]\frac{\sqrt{2} }{2}[/tex]
→ Inverse cosine [tex]\frac{\sqrt{2} }{2}[/tex]
cos⁻¹ ( [tex]\frac{\sqrt{2} }{2}[/tex] ) = 0.25π
Answer:
Answer:
0.25π
Step-by-step explanation:
→ Expand the bracket
4 × cos²Ф = 2
→ Divide both sides by 2
cos²Ф = 0.5
→ Square root both sides
cos Ф =
→ Inverse cosine
cos⁻¹ ( ) = 0.25π
Step-by-step explanation:
Use the given scale and determine the actual straight -line distance between East London and Bloemfontein
Answer:
Driving Distance : 569 KM and 398 meters / 353.8 miles.
Straight Line Distance : 467 KM and 700 meters / 290.6 miles.
Travel time : 11 hours and 19 minutes.
Direction and bearing : South side, 159 degree.
Step-by-step explanation: