Hi
k (a+b) = ka+kb
so : 8 (3x+4) = 8*3x +8*4 = 24x +32
Answer:
24x +32
Step-by-step explanation:
8 times 3 is 24 and 8 times 4 is 32.
How many ways can 5 apple trees, 4 pear trees, and 3 cherry trees be arranged along a fence line?
Answer:
60
Step-by-step explanation:
5 x 4 x 3=60
Answer:
24 ways
Step-by-step explanation:
4x3x2
12x2
24
Amusement Park Buildings Part 1 There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t know the specific dimensions, you do know the relationships between the sides. The first is the rectangular gift shop. You know that the length will be 20x+24 feet and the width will be 36x-20 feet. 1. Write the expression that represents the area of the gift shop, in terms of x. 2. Write the expression that represents the perimeter of the gift shop, in terms of x. 3. If the perimeter is going to be 176 feet, what are the dimensions of the building? Part 2 The next building is the gazebo that will be in the shape of a regular hexagon. (What does regular mean?) Each side will be 5x + 21 4. Write the expression that represents the perimeter of the gazebo, in terms of x. 5. If the perimeter is going to be 36 feet, what are the dimensions of the building?
Answer:
1. 56x - 480
2. 40x + 80
3. LENGTH = 72 feet, WIDTH = 66.4 feet
part 2: Regular means that all sides and angles are the same length
4. 6x
5. 216 feet
Step-by-step explanation:
(20x + 24) * (36x - 20)
56x - 480
2(20x + 24) + 2(36x - 20)
40x + 48 + 72 - 40
40x + 80
176 = 40x + 80
176 - 80 = 40x + 80 - 80
96 = 40x
96 / 40 = 40x / 40
2.4 = x
(20(2.4) + 24)
(36(2.4) - 20)
6(36)
Need help for math homework!!
Answer:
B
Explanation:
Matches all the points on the graph
Answer:
B (the answer selected in the picture)
Step-by-step explanation:
The points in Quadrant 1:
~from left to right~
(2, 0)
(3, 3)
(4, 5)
The point in Quadrant 2:
(-5, 4)
The points in Quadrant 3:
~from left to right~
(-3, -2)
(-1, -2)
The point in Quadrant 4:
(6, -4)
All of these points are listed in the second answer choice; therefore this answer is correct.
Find the solution to the equation below.
2x2 + 3x – 20 = 0
Answer:
x = 5/2 x = -4
Step-by-step explanation:
2x^2 + 3x – 20 = 0
Factor
(2x -5) (x+4) = 0
Using the zero product property
2x-5 =0 x+4 = 0
2x=5 x = -4
x = 5/2 x = -4
Which of the following represents the symmetric property of congruence? Question 7 options: A) If ≅ and ≅ , then ≅ B) If ≅ , then ≅ C) ≅ D) If ≅ , then ≅
Answer:
The symmetric property of congruence is:
If ∠A ≅ ∠B, then ∠B ≅ ∠A.
If, AB ≅ CB, then CB ≅ AB.
Step-by-step explanation:
Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.
The properties of congruence are:
Reflexive property:For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.
If AB is side of a triangle then, AB ≅ AB.
Symmetric Property:For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.
For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.
Transitive property:For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.
For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.
Thus, the symmetric property of congruence is:
If ∠A ≅ ∠B, then ∠B ≅ ∠A.
If, AB ≅ CB, then CB ≅ AB.
Whichever of the following terms best describes the expression below a:b?
Answer:
ratio
Step-by-step explanation:
Sign " : " is called Colon it represents the ratio, which is an ordered pair of a & b (b =! 0) which is a/b, represent as a:b.
How do you calculate a ratio?The ratio is comparison of two quantities, usually by dividing them. By comparing one data point (A) to another data point (B), the formula would be A/B. This means you are dividing information A by information B.
What type of data is ratio?Ratio data is a form of numeric data. It measures variables on a continuous scale, with an equal distance between adjacent values.
Learn more about Ratio here
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Which is the graph of g(x)?
Answer:
b
Step-by-step explanation:
just bought some yeezys for $80. she used a 15% off coupon. how much did she pay?
Answer:
$68.00 (Ignoring tax)
Step-by-step explanation:
80 x 0.15 = 12
80-12=68
What is the simplified form of 12x. 900x2y4z6 ?
PLEASE HELP!!!
Answer:
the answer is D (the last one)
Step-by-step explanation:
A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?
y=-4x+8
y=-2x + 6
y=-3x+2
y = 2x + 2
Answer:
y = 4
Step-by-step explanation:
The two given points both have the same y-value, so the line through them is a horizontal line. None of the answer choices is correct for the points given here.
A voter polling research group determined that 30% of the voters in a county would vote for the democratic candidate with a ±4% margin of error. If they anticipate only 12,000 people will turn out to vote in this election, which would represent the lowest possible number of voters for the democratic candidate.
Answer:
Minimum number of voters for the democratic candidate would be 3120 voters.
Step-by-step explanation:
Total number of people turning out to vote = 12,000
Percentage of votes a democratic would get = 30%
Which means that it is expected that a democratic candidate will get: 30/100 · 12,000 = 3600 votes
However, the polling may have an error of +4% to -4%
Which means that the votes a democratic candidate will get will range from 30%+4% = 34% to 30%-4%= 26% of the total people who turn out to vote
Minimum number of voters can be determined by taking 26% of the total people who turn out to vote:
Minimum number of votes = 26/100 · 12,000 = 3120
If 15/25 = x/100, then x=
Answer
x= 60
Step-by-step explanation:
100/25= 4
25*4 =100
15*4 = x
x= 60
Answer:
60
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Find the measure of each interior angle of a regular octagon
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?
32.50 divided by 64 please answer ASAP!
9. Substitute x= 3 into the expression 3x+1
Help me once again and again
Answer:
D.
Step-by-step explanation:
Bottom of the ladder is base, a = 3 ft
Top of the ladder from the ground is the perpendicular, b = 4 ft
We have to find the length of ladder, c = ?
So we'll use Pythagoras theorem
c² = a²+b²
c² = 3²+4²
c² = 9+16
c² = 25
Taking square root on both sides, we'll get
c = 5 feet
Answer:
Using pythagoras theorem
hypotenus^2=Adjacent^2+Opposite^2
H^2=3^2 + 4^2
H^2=9+16
H^2=25
H=square root of 25
H=5
Hope it helps.
The answer is 5 feet.
What type of conic section is given by the equation y^2-9x^2=900 and what is the domain and range? Show your work.
Answer:
Domain : x ∈ Real Numbers
Range : y ≥ 30
Step-by-step explanation:
The given equation is:
[tex]y^2-9x^2=900[/tex]
Simplifying it
[tex]\frac{y^2}{900}-\frac{9x^2}{900}=\frac{900}{900}\\\frac{y^2}{900}-\frac{x^2}{100}=1\\\frac{y^2}{30^2}-\frac{x^2}{10^2}=1[/tex]
Where Standard equation of parabola is:
[tex]\frac{y^2}{a^2}-\frac{x^2}{b^2}=1[/tex]
Which are similar. Conic Section is a parabola.
Find Domain and Range:Simplify the given equation:
[tex]y^2-9x^2=900\\y=\sqrt{9x^2+900},y=-\sqrt{9x^2+900}\\y=3\sqrt{x^2+100},y=-3\sqrt{x^2+100}[/tex]
For whatever value of x, term under the square root always remains positive, so
Domain : x ∈ Real Numbers
For minimum value of x i.e 0, y=30. If we increase x, y also increases. So
Range : y ≥ 30
Jane has 16 cards. Two of the cards look exactly the same and have the number i on them
Answer:
I am not sure what to answer because you are a little unclear, but from what I can see, that means that there would be 14 normal card, and 2 marked cards. I am not sure what you are trying to find, but I am going to assume that you are trying to find the probability of chossing the marked cards. If you are trying to find the prob. of pulling just one of the cards, then it would be 2/14, or 1/7. If you are seeking the probability of getting both cards, without replacement, then I dont know.
Step-by-step explanation:
Which statement is true about the ranges for the box plots?
A number line goes from 0 to 16. Morning's whiskers range from 3 to 15, and the box ranges from 5 to 12. A line divides the box at 8. Afternoon's whiskers range from 4 to 16, and the box ranges from 8 to 15. A line divides the box at 14.
The range of the Morning box plot is the same as the range of the Afternoon box plot.
The range of the Morning box plot is 1 less than the range of the Afternoon box plot.
The range of the Morning box plot is 1 more than the range of the Afternoon box plot.
The range of the Morning box plot is 2 less than the range of the Afternoon box plot
Answer:
The range of the Morning box plot is the same as the range of the Afternoon box plot.
Step-by-step explanation:
Data provided in the question
Number line = 0 to 16
Morning whiskers range = 3 to 15
Box range = 5 to 12
Line divided = 8
Afternoon whiskers range = 4 to 16
Box range = 8 to 15
Line divided = 14
Based on the above information,
The morning whiskers range difference is
= 12 - 5
= 7
And, the afternoon whiskers range difference is
= 15 - 8
= 7
Therefore the first option is correct
Answer: A. The range of the Morning box plot is the same as the range of the Afternoon box plot.
The probability of hitting a target is 3/4. What is the probability of hitting the target exactly once in four tries
Answer:
B
Step-by-step explanation:
If AABCAFED, which of the following statements is correct?
OLA - UF
O zB - D
OC - F
E = 20
help please!
Answer:
∠ A ≅ ∠ F
Step-by-step explanation:
Given that the triangles are congruent, then corresponding angles are congruent, that is
∠ A ≅ ∠ F
∠ B ≅ ∠ E
∠ C ≅ ∠ D
The correct statement from the list is therefore ∠ A ≅ ∠ F
Which graph of ordered pairs shows a proportional relationship?
On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted.
On a coordinate plane, points (negative 2, negative 2) and (1, 3) are plotted.
On a coordinate plane, points (negative 2, 1) and (1, negative 2) are plotted.
On a coordinate plane, points (2, 1) and (4, 3) are plotted.
Answer:
On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted
Step-by-step explanation:
In the choice shown above, y/x has the same ratio for both points. That is the hallmark of a proportional relationship.
Answer:
A
Step-by-step explanation:
-10 = m + (-15) yes that's it
Answer:
5-10=m+(-15)
or,-10=m-15
or,-m=-15+10
or,-m=-5
m=5
Hope it helps
Good luck on your assignment
Answer:
[tex]m = 5[/tex]
Step-by-step explanation:
[tex] - 10 = m + ( - 15) \\ - 10 = m - 15 \\ - 10 + 15 = m \\ m = 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help with this
which choice is equivalent to the expression below?
What are the vertex and x-intercepts of the graph of y= x2 - 6x - 7?Select
one answer for the vertex and one for the x-intercepts.
A. x-intercepts: (1,0), (7,0)
B. Vertex: (3,-16)
C.Vertex: (-3,20)
D. Vertex: (3, 20)
E. x-intercepts: (-1,0). (7.0)
F. x-intercepts: (1.0), (-7,0)
The vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.
What are vertex and [tex]x-[/tex]intercepts of the graph?A vertex in a quadratic equation is the minimum or maximum point of the equation and an [tex]x-[/tex]intercept of a graph is the point at which the graph intersects the [tex]x-[/tex]axis.
Vertex form, [tex]y=a(x-h)^2+k[/tex]
We have,
[tex]y= x^2 - 6x - 7[/tex]
Now,
Find the [tex]x-[/tex]intercept and to find [tex]x-[/tex]intercept put [tex]y=0[/tex] ;
i.e. [tex]y= x^2 - 6x - 7[/tex]
[tex]0= x^2 - 6x - 7[/tex]
[tex]x^2 - 6x - 7=0[/tex]
Now using Mid-term split method find value of [tex]x[/tex];
[tex]x^2 - 7x+1x - 7=0[/tex]
[tex]x(x - 7)+1(x - 7)=0[/tex]
[tex](x - 7)(x +1)=0[/tex]
[tex](x - 7)=0[/tex]⇒[tex]x=7[/tex]
[tex](x +1)=0[/tex]⇒[tex]x=-1[/tex]
So, these are the [tex]x-[/tex]intercept [tex](7,-1)[/tex] of the expression.
Now find the vertex using the above given formula;
[tex]y=a(x-h)^2+k[/tex]
Rewrite in vertex form
[tex]y= x^2 - 6x - 7[/tex]
Add and subtract [tex](-3)^2[/tex] in given expression;
[tex]y= x^2 - 6x + (-3)^2 -7 - (-3)^2[/tex]
[tex]y = x^2 - 6x + 9 -7 - 9[/tex]
[tex]y = x^2 - 6x + 9 -16[/tex]
Now convert quadratic part of equation in [tex](a-b)^2[/tex];
[tex]y = (x-3)^2-16[/tex]
Now compare it with [tex]y=a(x-h)^2+k[/tex]
We get, [tex]h=3,\ k=-16[/tex]
So, these are the vertex [tex](3,-16)[/tex] of expression.
Hence, we can say that the vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.
To know more about vertex and [tex]x-[/tex]intercepts of the graph click here
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I’m confused on how to verify the answer
Answer:
Step-by-step explanation:
all i know is how to get the original answer not the verified sorry
Answer:
#6- you can verify this way by plugging the value you got for x or y back into the equation. If it works, then the equation will be true.
By graphing- The solution on the graph is where the 2 lines will intersect. Find the coordinates of the intersection point and see if your answer has the same x and y values, if so, it is correct.
Which of the following exponential functions passes through the points (0,2) and (4,1250) Question 14 options: A) y = 5(2)x B) y = 2(5x) C) y = 2(x)5 D) y = 2(5)x
Easy claps!
Answer: D) y = 2(5)^x
Step-by-step explanation: 2=2(5)^0 1250=2(5)^4
IT's basic prealgebra!
Answer:
D
Step-by-step explanation:
You are given a sequence of thirteen terms, each an integer, such that the fourth term is 17 and the eighth term is 29. You are also given that the sum of any three consecutive terms in the sequence is the same and that the sum of the thirteen terms is 217. What is the sequence? Someone pllzzzz help
Answer:
Step-by-step explanation:
Let the sequence as :
[tex]T_1, T_2, T_3, 17, T_5, T_6,......T_{13}[/tex]
I put 17 there as [tex]T_4[/tex] because I want 3 consecutive elements. Let A is the sum of them.
[tex]T_1+T_2+T_3 = A[/tex]
17
[tex]T_5+T_6+T_7 = A[/tex]
[tex]T_8+T_9+T_{10} = A[/tex]
[tex]T_{11}+T_{12}+T_{13}=A[/tex]
[tex]\sum T_i + 17 = 217 = 4A + 17[/tex]
Hence A = 50
Then, back to the condition
[tex]T_4+ T_5 + T_6 = A = 50[/tex]
[tex]T_5+T_6+T_7 = A = 50[/tex]
Subtract them, we get
[tex]T_4 - T_7 = 0[/tex]
That gives you
[tex]T_4 = T_7 = 17[/tex]
Do the same with other groups.