Answer:
178
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement to 2
2+x = 180
Subtract 2 from each side
2+x-2 = 180-2
x = 178
3a - 2b - ab - (a-b+ab)+3ab+b-9
Answer:
2a +ab-9
Step-by-step explanation:
First, write out what you have:
3a-2b-ab-(a-b+ab)+3ab+b-9
Then, distribute the "-" to the "a-b+ab" inside the parenthesis:
3a-2b-ab-a+b-ab+3ab+b-9
Finally, combine like terms and simplify:
3a-a-2b+b+b-ab+3ab-ab-9
2a-2b+2b+3ab-2ab-9
2a+0+ab-9
2a+ab-9 is you equation fully simplified
A driveway is 81 feet long 12 feet wide and 6 inches deep. How many cubic feet of the concrete will be required for the driveway help
Answer:
486 cubic feet
Step-by-step explanation:
This question is trying to trick you, by including 6 inches. Convert 6 inches into 0.5 feet to make the question easier. Now, all you have to do is multiple 81 x 12 x .5 to get the answer of 486 cubic feet of concrete.
Which expressions are equivalent to − 6 + 3 ( 2 + ( − 4 t ) ) −6+3(2+(−4t))minus, 6, plus, 3, left parenthesis, 2, plus, left parenthesis, minus, 4, t, right parenthesis, right parenthesis ?
Answer:
-12tStep-by-step explanation:
Given the expression − 6 + 3 ( 2 + ( − 4 t ) ), to get the equivalent expression, the following steps must be followed;
Step 1: Multiply the signs inside the parenthesis
= − 6 + 3 ( 2 + ( − 4 t ) )
= -6+3(2-4t)
Step 2: Open up the parenthesis
= -6 + 3(2)+3(-4t)
= -6 + 6 - 12t
Step 3: Simplify the resulting expression by taking the diffrence between -6 and 6:
= 0 - 12t
= -12t
Hence the equivalent expression is -12t
Answer:
-12t
Step-by-step explanation:
1/5 × 2/3 + 2/5×1/2 ,..... Pls do in steps I will make u as the brailiest
Answer: 1/3
Multiply
1×2=2
5×3=15
= 2/15
2×1=2
5×2=10
= 2/10
Simplify
2/5 = 2/15
2/10 = 1/5
Add
2/15 + 1/5 = 1/3
Answer:
[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{ \blue{ \frac{1}{3} }}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{1}{5} \times \frac{2}{3} + \frac{2}{5} \times \frac{1}{2} }[/tex]
Multiply the fractions
⇒[tex] \sf{ \frac{1 \times 2}{5 \times 3} + \frac{2 \times 1}{5 \times 2} }[/tex]
⇒[tex] \sf{ \frac{2}{15} + \frac{2}{10} }[/tex]
Take the L.C.M of 15 and 10
⇒[tex] \sf{ \frac{2 \times 2 + 2 \times 3}{30} }[/tex]
Multiply the numbers
⇒[tex] \sf{ \frac{4 + 6}{30} }[/tex]
Add the numbers
⇒[tex] \sf{ \frac{10}{30} }[/tex]
Reduce the numbers with 10
⇒[tex] \sf{ \frac{1}{3} }[/tex]
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How can we find the L.C.M ( Least Common Multiple )?
https://brainly.com/question/17208712
--------------------------------------------------------------
Hope I helped!
Best regards!
Here is a rule to make a sequence. The next term is 4 less than 3 times the previous term. .Starting with the initial term of 10, build a sequence of 5 numbers.
Answer:
So the sequence of the five numbers are;
10,26,74,218,650
Step-by-step explanation:
In this question, we are interested in building a sequence of 5 numbers given the initial term.
Okay, to build this sequence, we will need to look at the rule that guides the building of the new sequence:
The rule is that the next term is 4 less than 3 times the previous term.
Okay, let’s call the next term y, while the previous term is x.
Following what was specified in the question;
y = 3x -4
Recall; the next term(y) is 4 less (-4) than 3 times (3 multiplied by) the previous term (x)
So let’s start with the initial term of 10.
The next term will be;
y = 3(10) -4 = 30-4 = 26
The next term after 26 will be ;
y = 3(26) -4 = 78-4 = 74
The next term after 74 will be;
y = 3(74) -4 = 222-4 = 218
The next term after 218 will be;
y = 3(218) -4 = 650
a distribution has the five number summary shown below what is the range of this distribution?
24,36,42,57,65
Answer:
41.
Step-by-step explanation:
The range = highest - lowest value
= 65 - 24
= 41.
Answer:
Step-by-step explanation: use the calculatrr
A bicycle wheel has a diameter of 26 inches. How far will the wheel travel in one revolution? (C=π×d,π≈3.14) A. 8.164 in. B. 81.64 in. C. 816.4 in. D. 8164 in.
Answer:
81.64 inches.
Step-by-step explanation:
You're looking for circumference here.
d = diameter of the wheel
d = 26 inches.
Input your values:
C = π * d
C = 3.14 * d
C = 3.14 * 26 inches
C = 81.64 inches.
Answer:
C≈81.68 in. thus B is the answer (I used more digits for π).
Step-by-step explanation:
Formula C=2πr
23=9-4x I don’t understand this equation
Answer:
= -7/2
Step-by-step explanation:
What the equation is saying is that 9 - 4x = 23.
x means some number we don't know, but the value of x should be able to satisfy 9 - 4x = 23
In order to find what x may be we must separate it so it is by itself.
First we subtract 9 from both sides,
9 - 9 - 4x = 23 - 9
-4x = 14
Now we divide both sides by -4 to get x,
-4x/-4 = 14/-4
x = -14/4 = -7/2
Answer:
x= -3.5 or x=-7/2
Step-by-step explanation:
We are given the equation:
23 = 9 - 4x
We want to solve for the variable, x. Therefore, we must isolate x on one side of the equation.
First, let's rearrange the equation.
23 = 9 -4x
23= -4x +9
9 is being added to -4x. The inverse of addition is subtraction. Subtract 9 from both sides of the equation.
23-9= -4x +9-9
23-9= -4x
14 = -4x
-4 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by -4.
14/-4= -4x/-4
14/-4= x
-7/2=x
-3.5=x
Let's check our solution. Plug -3.5 in for x and solve.
23=9-4x (x=-3.5)
23= 9-4(-3.5)
23= 9- -14
23= 9+14
The statement above is true, so we know our solution is correct.
The solution to the equation is x= -3.5 or x= -7/2
There are 123,456 children living in a town. Out of which 64,456 are girls. Approximately, what is the total number of boys in the town?
Answer:
59,000
Step-by-step explanation:
123,456-64,456=59,000
Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.
Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.
(a) which variable is independent and which variable is dependent in this scenario?
(b) Fill in the table below for a variety of time values.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks
Answer:
Step-by-step explanation:
From the given information:
(a) which variable is independent and which variable is dependent in this scenario?
An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.
A dependent variable is a variable where on variable is dependent on the other variable.
From the question given;
time (t) in minutes is the independent variable
Distance D from home is the dependent variable
(b) Fill in the table below for a variety of time values.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks
We are being told that Evin starts 38 blocks from home,
Then she is just starting, i.e from rest
Then; at time t = 0 , she is 38 block distance from home
However, if she walks 2 blocks each minute,
then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.
If she walks for 5 minutes,
then she will be (38 - 2(5) ) blocks away from home
= 38 - 10
= 28 blocks away from home
If she walks for 10 minutes,
then she will be (38 -2(10)blocks away from home
= 38 - 20
= 18 blocks away from home.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks 38 36 28 18
6 1 pound is equal to 454 grams. How many grams are in 3.5 pounds?
Answer:
1587.57 grams
Step-by-step explanation:
1 pound = 453.592 grams.
so multipy that by 3.5
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys?
A) 7
B) 20
C) 14
D) 15
PLEASE HELP
Answer:
umm I'm not pretty sure but i say 7
Using proportions, it is found that 14 students are boys, option C.
-----------------------------
This question is solved by proportions, using a rule of three.Out of every 5 students, 2 are boys.How many are boys out of 35?2 boys - 5 students
x boys - 35 students
Applying cross multiplication:
[tex]5x = 2 \times 35[/tex]
[tex]5x = 70[/tex]
[tex]x = \frac{70}{5}[/tex]
[tex]x = 14[/tex]
14 students are boys, option C.
A similar problem is given at https://brainly.com/question/24112433
PLEASE HELP!! I WILL GIVE BRAINLIEST!!
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.
Hey There!!
∠ABC ≅ ∠DEC
∠DEC = ∠GEF
thus:
∠ABC = ∠GEF
∠GFE ≅ ∠DCE
∠DCE = ∠ACB
thus:
∠ACB = ∠GFE
If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.
Thus: ΔABC ∼ ΔGEF by AA similar triangle postulate.
Hope It Helped!~ ♡
ItsNobody~ ☆
Calculate the time period of a pendulum if it
completes 46 oscillations in 20 seconds.
Answer:
0.44 seconds
Step-by-step explanation:
Time period is the time duration for completing one oscillation:
T = 20/46 ≈ 0.44 secondsAnswer is 0.44 seconds
Step-by-step explanation:
The Time period of pendulum (T) is
T=46/20
T=2.3s
please help! provide thorough explanation and use elimination method!!
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05n + 0.10d = 1.50
==> 5n + 10d = 150
Multiply both sides of the first equation by -5:
n + d = 21
==> -5n - 5d = -105
Add the two equations together:
(5n + 10d) + (-5n - 5d) = 150 + (-105)
Notice that the terms containing n get eliminated and we can solve for d :
(5n - 5n) + (10d - 5d) = 150 - 105
5d = 45
d = 45/5 = 9
Plug this into either original equation to solve for n. Doing this with the first equation is easiest:
n + 9 = 21
n = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
2.1.3
Some questions allow you to choose several correct answers from a list of possible answers.
Click the square near each correct choice to fill it in. Be sure to mark all correct answers.
Which of the following mathematical statements are true? Select all that apply.
A. 1.2 = 2
B. 1.1=1
C. 1+2 = 2
DD. 2-2=1
E. 1+1=2
Answer:
a and e jfdjjxjccjddjdjdjdjdjjdjdidie
The function h(x)= 12x^8+49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd?
Answer:
A translation (9 units) to the left will result in a function that is neither even nor odd
Step-by-step explanation:
With horizontal translation to the left, we have;
h(x) = 12(x - 9)⁸ + 49
Which gives;
h(x) = 12(x - 9)⁸ + 49 = 12(x⁸ - 72x⁷ + 2268x⁶ - 40824x⁵ + 459270x⁴ -3306744x³ + 14880348x² - 38263752x + 43046721) + 49
For x = 1, we get;
h(x) = 201326641
When we replace x by -x, we get;
h(x) = 12(-x - 9)⁸ + 49 = 12(x⁸ + 72x⁷ + 2268x⁶ + 40824x⁵ + 459270x⁴ + 3306744x³ + 14880348x² + 38263752x + 43046721) + 49
For x = 1, we get;
h(x) = 1200000049
Therefore a translation 9 units to the left will result in a function that is neither even nor odd.
Lisa buys a dozen apples and two oranges. Jeremy buys six apples. Oranges cost $1 each, and they spent $9 total. Which of the following shows how to define the variable in order to find the cost of the apples and oranges? A. cost of apples − a cost of oranges − O B. a + cost of apples O + cost of oranges C. a − cost of apples O − cost of oranges D. a = cost of apples O = cost of oranges
Answer:
D. a = cost of apples O = cost of oranges
Step-by-step explanation:
The only choice that actually shows a definition of the variables is choice D.
please help :) Evaluate this: (15+12)−3 to the 2 power =
Answer:
576
Step-by-step explanation:
"(15+12)−3 to the 2 power" can be rewritten, symbolically, as:
[ (15+12) − 3 ]^2, or
[ 27 - 3 ]^2, or
24^2, or 576
Answer:
it is 18
Step-by-step explanation:
Resolva os seguintes exercícios sobre os Números racionais, a partir de situações problema: Para encher um álbum de figurinhas, Karina contribuiu com 1/6 das figurinhas, enquanto Cristina contribuiu com 3/4 das figurinhas. Com que fração das figurinhas as duas juntas contribuíram?
Answer:
11/12
Step-by-step explanation:
Nesta questão, estamos interessados em saber em que fração do álbum de figurinhas ambos contribuíram.
Pela pergunta, ficamos sabendo que Karina contribuiu com 1/6 enquanto Cristina contribuiu com 3/4.
Portanto, para encontrar a fração com a qual ambos contribuem, simplesmente adicionamos as duas frações.
Matematicamente, isso seria 1/6 + 3/4 = (2 + 9) / 12 = 11/12
A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to
their store. It took 13.5 m² of material to build the cube.
Answer:
whats the question love?
Step-by-step explanation:
I just started 8th grade and I want to know if my answer is right.
Where the “I” is do I move 2 units down?
Answer:
Yes, you have to move because 1 square is one unit.
On his fishing trip Justin rides on hist 12 km south. The fish aren't biting so he changes location and goes 4 km west. What is Justin's displacement?
Answer:
Justin's displacement is 12.65 km.
Step-by-step explanation:
Since Justin rides 12 km south, then 4 km west, his displacement can be determined by applying Pythagoras theorem to the sketch of his journey. Let his displacement be represented by s,
[tex]/Hyp/^{2}[/tex] = [tex]/Adj1/^{2}[/tex] + [tex]/Adj2/^{2}[/tex]
[tex]s^{2}[/tex] = [tex]/4/^{2}[/tex] + [tex]/12/^{2}[/tex]
= 16 + 144
[tex]s^{2}[/tex] = 160
⇒ s = [tex]\sqrt{160}[/tex]
= 12.6491
s ≅ 12.65 km
Justin's displacement is 12.65 km.
What is the slope of the line?
4
m =
21
1
х
-4
-2
2
4
-2
-4
Answer:
Slope = 1/4
Step-by-step explanation:
Slope = rise/ run
=> slope= 1 = rise / 4 = run
=> Slope = 1/4
Solve.
x/8 - 5/2 =5/2
Answer:
x = 40
Step-by-step explanation:
x/8 - 5/2 =5/2
x/8 = 10/2
x/8 = 5
x = 40
Answer:
[tex]\Huge \boxed{x = 40}[/tex]
Step-by-step explanation:
x/8 - 5/2 = 5/2
Add 5/2 to both sides of the equation.
x/8 - 5/2 + 5/2 = 5/2 + 5/2
Simplify the equation.
x/8 = 10/2
x/8 = 5
Multiply both sides of the equation by 8.
(8)x/8 = (8)5
x = 40
Which system of inequalities is represented by the graph? A. {y≥1y−x 0 C. {y≤1y−x 0
Answer:
y≤1
y−x>0
Step-by-step explanation:
I just took the quiz
A graph can be used to represent a system of inequality.
The system of inequality, the graph represents is:
[tex]y \ge 1[/tex] and [tex]y - x > 0[/tex]
The attached graph has two lines.
A thick horizontal lineA dotted slant lineThe thick horizontal line
Below this line, is a shaded region; and it passed through [tex]y = 1.[/tex]
This means that the horizontal line represents all values of y starting from 1.
So, the inequality is:
[tex]y \ge 1[/tex]
A dotted slanted line
First, calculate the slope of the line
[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]
The line passes through (0,0) and (1,1).
So, we have:
[tex]m =\frac{1-0}{1-0}[/tex]
[tex]m =1[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1(x - 0) + 0[/tex]
[tex]y = x + 0[/tex]
[tex]y = x[/tex]
The left part of the dotted line is shaded. This represents >.
So, we have:
[tex]y> x[/tex]
Subtract x from both sides
[tex]y - x > 0[/tex]
Hence, the system of inequality, the graph represents is:
[tex]y \ge 1[/tex]
[tex]y - x > 0[/tex]
Read more about system of inequalities at:
https://brainly.com/question/19526736
What is the sum of the two largest numbers in the list $$\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}~?$$ Express your answer in simplest form.
Answer:
[tex] \frac{25}{39} [/tex]
Step-by-step explanation:
[tex]\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}~?[/tex]
Convert them to fractions with their L.C.D (lowest common denominator)
[tex]\frac {15470}{46410},~\frac {13260}{46410},~\frac {13923}{46410},~\frac {14280}{46410},~\frac {13650}{46410}~?[/tex]
hence the two largest are
[tex] \frac{1}{3} \: and \: \frac{4}{13} [/tex]
[tex] \frac{1}{3} + \frac{4}{13} = \frac{25}{39} [/tex]
BRAINLEST PLS... ;-)help me please o(*￣▽￣*)ブ(づ￣ 3￣)づ
Answer:
a) 24
b) Bowtown and Dovebury
c) 57
Evaluate 7n+5 when n = 8
Answer:
61
Step-by-step explanation:
7n+5
Let n=8
7*8 +5
56+5
61
Answer:
[tex]\Huge \boxed{61}[/tex]
Step-by-step explanation:
[tex]7n+5 \\ \\ \\ n=8[/tex]
Replace n with 8.
[tex]7(8)+5[/tex]
Evaluate the expression.
[tex]56+5[/tex]
[tex]=61[/tex]
Currently, your plane is cruising at an altitude of 33,000 feet and holding steady. You are instructed from the airline control tower that you need to get to a crusing altitude either below 31,000 or above 35,000 feet. If your plane can comfortably climb at an average rate of 800 feet per minute and descend at an average rate of 500 feet per minute, what is the range of times (in minutes) it will take your plane to be in the instructed cruising altitude?
Answer:
The range of time it would take the plane to be in the instructed area is 2.5 minutes to 4 minutes.
Step-by-step explanation:
The given parameters are;
The current altitude of the plane = 33,000 feet
The required altitude of the plane = Below 31,000 or above 35,000 feet
The average climbing speed of the plane = 800 feet per minute
The average descending speed of the plane = 500 feet per minute
The difference in the current and required altitudes are;
For climbing we have 35,000 feet - 33,000 feet = 2,000 feet
For descending we have 33,000 feet - 31,000 feet = 2,000 feet
Speed = Distance/Time
∴ Time = Distance/Speed
Based on the climbing and descending rate, we have;
The time it would take to climb 2,000 feet is t = 2000 feet/(800 feet/minute) = 2.5 minutes
The time it would take to descend 2,000 feet is t = 2000 feet/(500 feet/minute) = 4 minutes
The range of time it would take the plane to be in the instructed area is therefore;
Time for descending to time for ascending, which is 2.5 minutes to 4 minutes.
The range of time it would take the plane to be in the instructed area = 2.5 minutes to 4 minutes.