13. Which property is illustrated by the statement 3•1=3?
A Associative
C. Distributive
B. Commutative
D. Identity
it's a I know this because I'm in the 8th
Step-by-step explanation:
it's a
(x+2) ^3 algebraic expressions(cube)
Answer:
The cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]
Step-by-step explanation:
We need to find cube of [tex](x+2)^3[/tex]
It can be found using formula: [tex](a+b)^3=(a+b)(a^2-ab+b^2)[/tex]
In the question given:
We have a = x and b = 2
Now finding cube using the above formula:
[tex](x+2)^3\\=(x+2)(x^2-(x)(2)+(2)^2)\\=(x+2)(x^2-2x+4)[/tex]
So, the cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]
A notebook cost $4.50 plus sales tax. The sales tax is $.36. what is the sales tax rate?
Answer:
It's simple the answer is 8%
Step-by-step explanation:
$. 36/ $4.50 × 100 = 8%
Answer:
8%
Step-by-step explanation:
Sales price x sales tax rate = sales tax
4.50 x sales tax rate = .36
sales tax rate = .36/4.50
sales tax rate = .08 or 8%
In triangle ABC, angle A = 2x + 5, angle B = 4x + 10 and angle C = x - 31. Find the value of x.
Answer:
x=28
Step-by-step explanation:
sum of all angles im a triangle = 180°
(2x+5) + (4x+10) + (x-31) = 180
7x=196
x=28
Answer:
x = 28°
Step-by-step explanation:
Sum of a triangle is equal to 180°. Firstly you need to form an equation. Add all the angles which equals to 180°.
2x + 5 + 4x + 10 + x - 31 = 180°
Now simply and find the value of x. Add all the x terms and whole numbers.
7x + 5 + 10 - 31 = 180°
7x + 15 - 31 = 180°
7x - 16 = 180°
7x = 180° + 16
7x = 196
x = 196 ÷ 7
x = 28°
So the angles are:
Angle A = 2x + 5
2 x 28 + 5 = 61°
Angle B = 4x + 10
4 x 28 + 10 = 122°
Angle C = x - 31
28 - 31 = -3°
A bricklayer's apprentice takes 10 hours longer than the bricklayer to make a fireplace. The apprentice worked alone on a fireplace for 5 hours, after which the bricklayer began to help. It took 2 more hours for them to finish the fireplace. How long would it take the apprentice to make the fireplace on his own?
Answer:
It would take the apprentice 14 hours to make the fireplace on his own.
Step-by-step explanation:
Let x represent the hours it takes the bricklayer to make a fireplace on his own and x + 10 represent the hours it takes the bricklayer's apprentice to make a fireplace on his own.
7/(x + 10) + 2/x = 1
7/(x+10) represents the fraction of the fireplace the bricklayer's apprentice made (total amount of time the bricklayer's apprentice worked on the fireplace/time it takes the bricklayer's apprentice to make a fire place on his own) while 2/x represents the fraction of the fireplace the bricklayer made (total amount of time the bricklayer worked on the fireplace/time it takes the bricklayer to make a fire place on his own). The 1 on the right side of the equation represents the number of fireplaces they made in that time.
Multiply both sides of the equation by x(x + 10) to get rid of the denominators:
x(x + 10)[7/(x + 10) + 2/x] = x(x + 10)1
x(x + 10)[7/(x + 10)] + x(x + 10)(2/x) = x(x + 10)
7x + 2(x + 10) = x² + 10x
7x + 2x + 20 = x² + 10x
Gather all the terms to one side of the equation:
x² + 10x - 7x - 2x - 20 = 0
x² + x - 20 = 0
Factoring the simplified equation:
(x + 5)(x - 4) = 0
Solving for each factor:
When x + 5 = 0,
x = -5
When x - 4 = 0,
x = 4
Since a negative solution wouldn't make sense for this question, it would take the bricklayer 4 hours to complete the fireplace on his own.
Substituting x = 4 into x + 10 to find out how long it would take the apprentice to make the fireplace on his own:
x + 10 = 4 + 10 = 14
Therefore, it would take the apprentice 14 hours to make the fireplace on his own.
A type of green paint is made by mixing 2 cups of yellow with 35 cups of blue.
1. Find a mixture that will make the same shade of green but a smaller amount
2. Find a mixture that will make the same shade of green but a large amount
3. Find a mixture that will make a different shade of green that is bluer.
4. Find a mixture that will make a different shade of green that is more yellow.
Answer:
1. 1 cup of yellow 17.5 cups of blue 2. 4 cups of yellow 70 cups of blue
3. 2 cups of yellow 40 cups of blue 4. 2 cups of yellow 30 cups of blue
Step-by-step explanation:
1. to get same shade keep ratios the same but divide by 2 for smaller amount
2/2 = 1 and 35 /2 = 17.5
2. similar to 1. except multiply by 2
3. use same yellow amount but more blue
4. use same yellow but less blue
solve the simultaneous equations 4x-3y=19 and 2x+3y=23
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \sf{4x - 3y = 19}[/tex] ••••• equation ( i )
[tex] \sf{2x + 3y = 23}[/tex] ••••• equation ( ii )
The coefficients of y are the same in both equation but the sign of 3y of equation ( i ) differs from the equation ( ii ). So , we add one equation from the other to eliminate 3y.
Adding equation ( i ) and ( ii ) , we get :
[tex] \sf{4x \: \cancel{ - 3y}} = 19[/tex]
[tex] \sf{2x \: \cancel{ \: + 3y}} = 23[/tex]
_________________
[tex] \sf{6x \: \: \: \: \: = \: \: \: 42 }[/tex]
Solve for x :
⟿ [tex] \sf{ \frac{6x}{6} = \frac{42}{6}} [/tex]
⟿ [tex] \boxed{ \sf{x = 7}}[/tex]
Now , substituting the value of x in equation ( ii ) , we get ( Remember : you can substitute the value of x in any of the equation ) :
[tex] \sf{2x + 3y = 23}[/tex]
⟿ [tex] \sf{2 \times 7 + 3y = 23}[/tex]
⟿ [tex] \sf{14 + 3y = 23}[/tex]
⟿ [tex] \sf{3y = 23 - 14}[/tex]
⟿ [tex] \sf{3y = 9}[/tex]
⟿ [tex] \sf{ \frac{3y}{3 } = \frac{9}{3}} [/tex]
⟿ [tex] \boxed{ \sf{y = 3}}[/tex]
[tex] \red{ \boxed{\boxed{ \tt{☥ \: Our \:final \: answer :x = 7 \: and \: y = 3}}}}[/tex]
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✑[tex] \underline{ \underline{ \sf{learn \: more }}}: [/tex]
https://brainly.com/question/20487855?exp=27-1
Hope I helped ! ツ
Have a wonderful day / night ♡
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D is 12 please help :)
Jack and Cameron are playing a game of paper football by the rules you can score a five point touchdown or seven in the game there have been 13 touchdowns scored for a total of 71 points how many of these touchdowns were seven point touchdowns
Answer:
3 seven point touchdowns
Step-by-step explanation:
x=5 pointn
y=7point
x+y=13
5x+7y=71
solve
multiply first equaiton by -5 and add
-5x-5y=-65
5x+7y=71 +
0x+2y=6
2y=6
divide 2
y=3
sub
x+y=13
x+3=13
x=10
10 five point touchdowns
3 seven point touchdowns
Find the percent
of change from
15 yards to 20 yards.
Answer:
33.33%
Step-by-step explanation:
Percent change equation is:
(x2 - x1) / x1 * 100%
where x1 is initial and x2 is final
On a piece of paper, use a protractor and a ruler to construct triangle ABCABC with ABAB = 3 in., ACAC = 3 in., and m∠Am∠A = 90°90° . What is the measure of m∠Cm∠C?
A:60°
B:30°
C:90°
D:45°
helppp nowwww plssss!!!
Find the slope of the line that contains the following points.
(18, –7) and (18, 2)
Answer:
Step-by-step explanation:
.
Please help pleassseeee
Answer:
5,4
Step-by-step explanation:
Find the volume of the sphere. Either enter an exact answer in terms of it or use 3.14 for I and round your final answer to the nearest hundredth. 2 units Stuck? Watch a video or use a hint. Report a prob
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the radius of the sphere is missing.
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
Substitute 3.14 for [tex]\pi[/tex]
[tex]V = \frac{4}{3}* 3.14* r^3[/tex]
[tex]V = \frac{4* 3.14}{3}* r^3[/tex]
[tex]V = \frac{12.56}{3}* r^3[/tex]
[tex]V = 4.187* r^3[/tex]
At this point, assume that r = 3.
The expression becomes:
[tex]V = 4.187* 3^3[/tex]
[tex]V = 4.187* 27[/tex]
[tex]V = 113.05[/tex]
When the polynomial mx3 - 3x2 + nx + 2 is divided by x + 3, the remainder is -1. When it is divided by x - 2, the remainder is -4. What are the values of m and n?
Answer:
m = -2 and n = 10
Step-by-step explanation:
If the polynomial mx^3 - 3x^2 + nx + 2 is divided by x + 3, the remainder is -1. Then;
x+ 3 = 0
x = -3
Substitute x =-3 into the polynomial and equate to -1
-1 = m(-3)³-3(-3)²+n(-3) + 2
-1 = -27m - 27 - 3n + 2
27m + 3n = -25 + 1
27m + 3n = -24 ... 1
Similarly, if it is divided by x - 2, the remainder is -4, then;
-4 = m(2)³-3(2)²+n(2) + 2
-4 = 8m - 12- 2n + 2
8m -2n = -4 + 10
8m + 2n = 6 ... 2
Solve 1 and 2 simultaneously
27m + 3n = -24 ... 1 * 2
8m + 2n = 6 ... 2 * 3
______________________
54m + 6n = -48
24m + 6n = 12
54m - 24m = -48 - 12
30m = -60
m = -60/30
m = -2
Get n by substituting m = -2 into 1
From 1: 27m + 3n = -24
27(-2) + 3n = -24
-54 + 3n = -24
3n = -24 +54
3n = 30
n = 30/3
n = 10
Hence m = -2 and n = 10
If you have 12 donuts for $5.40, what is the cost of one donut
Answer:
0.45
Step-by-step explanation:
you have to divide 5.40 by 12
Use any method to divide
Answer:
Step-by-step explanation:
remember when we divide 2 fraction, we will multiply the first one with the reciprocal of the second
(5/12)*(- 6/1)=-30/12= - 5/2= -2 1/2
look at the image to figure out how to solve this!!
good luck, and have a good day :]
The human body consists mainly of three elements. About 1/10 of a body's weight is hydrogen, 16/25 is oxygen, and 1/5 is carbon. What is the weight of the hydrogen, oxygen, and carbon in the body of a person who weighs 134 lb?
Answer:
Hydrogen = 13.4
Oxygen = 85.76
Carbon = 26.8
Step-by-step explanation:
H= 13.4
When you multiply by 1/10 all you have to do is move the decimal point to the LEFT.
So... 134←. = 13.4
_______________________________________________________
O= 85.76
134×[tex]\frac{16}{25}[/tex]=85.76
________________________________________________________
C= 26.8
134×[tex]\frac{1}{5}[/tex]=26.8
Solve the system algebraically.
y = – 4x + 6
y = – 4x + 5
Answer:
We conclude that -1 = 0 is false, therefore the system of equations has no solution.
Step-by-step explanation:
Given the system of equations
y = – 4x + 6
y = – 4x + 5
solving the system of the equations
[tex]\begin{bmatrix}y=-4x+6\\ y=-4x+5\end{bmatrix}[/tex]
Substitute y = -4x+5
[tex]\begin{bmatrix}-4x+5=-4x+6\end{bmatrix}[/tex]
Refine – 4x + 5 = – 4x + 6
-1 = 0
FALSE!
NO SOLUTION!
We conclude that -1 = 0 is false, therefore the system of equations has no solution.
3x - X - 9 = 3(2 - x)
only solve for x :)
Answer:
x = 3
Step-by-step explanation:
3x - X - 9 = 3(2 - x) (Given)
2x - 9 = 3(2 - x) (combine like terms)
2x - 9 = 6 - 3x (distributive property of equality)
5x = 15 (addition property of equality)
x = 3 (division property of equality)
Ace
43. f(g(x)]
44. g h
Express g. f and fog, if they exist, a
46. f = {(2, 1), (3, 4), (6, -2)}
g = {(1,5), (4, -7), (-2, -3)}
48. f = {(0, 2), (1, 1), (3, 3), (4, -1)}
g = {(0, 0), (1, 1), (2, 4), (
Answer:
46. f(g(x)) =doesn't exist
because from the range of g(x) there is none in the domain of f(x)
48.f(g(x)) = {(0,2), (1,1)}
Plsss help I need a good grade on this
Answer:
6
Step-by-step explanation:
add 18 on both sides
7w = 42
divide by 7 on both sides
w = 6
Answer:
Step-by-step explanation:
7w-18=24
7w= 24+18
w=42:7
w=6
Alena had 4 packs of gum with 6 pieces of gum in each pack. Hugh had 3 packs of gum with 5 pieces in each. Alena and Hugh have 19 pieces of gum left.
Which equation can we use to find p, end colour the number of pieces of gum Alena and Hugh chewed
Answer:
[tex]p = 4 \times 6 + 3 \times 5 - 19 = 20[/tex]
Step-by-step explanation:
Number of packs available with Alena initially = 4
Number of gums in each pack = 6
Total number of gums initially present with Alena can be found by multiplying the number of packs with the number of packs.
i.e. number of gums initially present with Alena = 4 [tex]\times[/tex] 6 = 24
Number of packs available with Hugh initially = 3
Number of gums in each pack = 5
Total number of gums initially present with Hugh can be found by multiplying the number of packs with the number of packs.
i.e. number of gums initially present with Hugh = 3 [tex]\times[/tex] 5 = 15
Total number of gums present initially = 24 + 15 = 39
Number of gums left with Alena and Hugh = 19
The number of gums chewed can be found by subtracting the number of gums left with them from the number of gums initially present with them.
i.e. Number of gums chewed, [tex]p[/tex] = 39 - 19 = 20
The equation that can be used is:
[tex]p = 4 \times 6 + 3 \times 5 - 19 = 20[/tex]
A. 3(x+2)=18 B. 3x+6=18
Answer:
B
Step-by-step explanation:
3x6 is 18 so therefore its B
The first four terms in a sequence, and the rules that define
them, are shown below.
a1 =4
a2 = 2a1 + 3
a3 = 2a2 + 3
a4 = 2a3 + 3
What is the value of a4, the fourth term shown in the
sequence above?
A 35
B 41
C 25
D 53
Answer: D. 53 [tex]a_{4}=53[/tex]
Step-by-step explanation:
[tex]a_{1}=4\\a_{2}=2(a_{1})+3\\a_{3}=2(a_{2})+3\\a_{4}=2(a_{3})+3[/tex]
[tex]a_{2}=2(a_{1})+3\\a_{2}=2(4)+3\\a_{2}=8+3\\a_{2}=11[/tex]
[tex]a_{3}=2(a_{2})+3\\a_{3}=2(11)+3\\a_{3}=22+3\\a_{3}=25[/tex]
[tex]a_{4}=2(a_{3})+3\\a_{4}=2(25)+3\\a_{4}=50+3\\a_{4}=53[/tex]
what is 60 as a ratio
Answer:
the answer is 60/100 60%
Step-by-step explanation:
Use a graphing tool to solve the system.
{4x−15y=−432x−3y=−2
Which ordered pair is the best estimate for the solution to the system?
A (4.8,5.2)
B (6.5,5.2)
C (5.1,4.8)
D (5.5,4.3)
Answer: D (5.5,4.3)
Step-by-step explanation:
Answer:
D: 5.5, 4.3
Step-by-step explanation:
yes
The graphs below have the same shape. What is the equation of the blue graph?
2x + 4y − 6z = 44
x + 2y + 3z = −2
3x − 4y + 4z = −16
(x, y, z) =
Answer:
x,y,z=4,3,-4
Step-by-step explanation:
2x+4y-6x=44 = x+2y-3z=22
x+2y-3z=22
x+2y+3z=-2
x+2y-3z=22
3x-4y+4z=-16
x+2y-3z=22 ------>
2x+4y=20
x+2y+3z=-2 ------>
x+2y-3z=22 ------>
13x-4y=40
3x-4y+4z=-16 ------->
2x+4y=20
13x-4y=40
y=3
x=4
4+2x3-3z=22
z=-4
(x,y,z)=(4,3,-4)
2x4+4x3-6x(-4)=44
4+2x3+3x(-4)=-2
44=44
-2=-2
-16=-16
(x,y,z)=(4,3,-4)
I am so sorry if it is incorrect I tried :<