Answer:
30
Step-by-step explanation:
2/3 = .6
18/.6 = 30
Answer:
27
Step-by-step explanation:
If you want to divide a fraction, you have to divide it from it's reciprocal.
The reciprocal of 2/3 is 3/2.
Now, you have to multiply 3 and 18
18 x 3/2 = 54/2
54 divided by 2 is 27.
Hope it helped :>
find the value of please help me
Answer:
10 sqrt(10)
Step-by-step explanation:
sqrt(1000)
sqrt(100*10)
we know that sqrt(a*b) = sqrt(a) sqrt(b)
sqrt(100) * sqrt(10)
10 sqrt(10)
Which numbers are rational? Check all that apply.
-19
2
5
0
4
ī
1.091502...
2.89
Answer:
-19
-2/5
0
4/7
2.89
Step-by-step explanation:
a rational number is any number that can be converted to a fraction, I know this because I took a test a while back and it helped me understand it. I hope this helps!!! :)
Given that y=18 + 3x² (i) find the value of y when x= -2
Answer:
y=30
Step-by-step explanation:
f(-2)=18+3(-2)^2
f(-2)=18+3*4
f(-2)=18+12
f(-2)=30
Answer:
y= 6
Step-by-step explanation:
substitute x= -2 in the equation y=18+3x^2
from there you'll get your final answer
what is the answer to 1.2(x-3) +4 (x+7)
Answer:
5.2x + 24.4
Step-by-step explanation:
1.2(x-3) + 4 (x+7)
=1.2x - 3.6 + 4x + 28
=5.2x + 24.4
Hope this helps..
Which of the following statements is correct baded on the number line below?
Answer:B&D
Step-by-step explanation:
Prove the identity
[tex]4 \sin(x) \cos(x) = \frac{ \sin(4x) }{ \cos(2x) } [/tex]
=> R.H.S
[tex] \frac{ \sin(4x) }{ \cos(2x) } = \frac{ \sin(2x + 2x) }{ \cos(2x) } [/tex]
[tex] = \frac{ 2 \sin(2x) \cos(2x) }{ \cos(2x) } [/tex]
[tex] = 2 \sin(2x) [/tex]
[tex] = 2(2 \sin(x) \cos(x) )[/tex]
[tex] = 4 \sin(x) \cos(x) [/tex]
R.H.S = L.H.S
PROVED!
Answer:
Below
Step-by-step explanation:
● 4 sin(x) cos(x) = sin(4x)/cos(2x)
Let's prove that:
● 4 sin(x) cos(x) cos(2x) = sin(4x)
It's easier to prove it than the first one
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 4 sin(x) cos(x) cos (2x)
● [2 sin(x) cos(x)] 2 cos(2x)
We khow that [2 sin(x) cos(x)]= sin(2x)
So:
● sin(2x) 2 cos(2x)
Based on the same relation
● sin(4x)
It's proved
help please it’s my last question it should be two answers
Answer:
Choices 1 and 5
Step-by-step explanation:
155 + 166 = 25 + 296
Correct choices:
155 - 296 = 25 - 166
This is obtained by subtracting 296 and 166 from both sides of initial equation166 - 25 = 296 - 155
This is obtained by subtracting 25 and 155 from both sides of initial equationCan someone give me the answers for the number frame and how you did it, I’m confused :)
Answer:
16, 56, ...
Step-by-step explanation:
It looks like you have to put in each cell the multiplication of the row and the column, so the columns are 2, 7, 4 etc., and the row is always 8.
First cell: 2x8 = 16
Second cell: 7x8 = 56
and so on
It teaches you to apply the multiplication in a random sequence; you should be able to do this in your head.
The variable n represents the number of bikes in a shipping container. The weight of the container in pounds, including the
bikes, can be modeled using the expression 250 + 23 (n-1) How much will the container weigh with 20 bikes in it?
Given that :-
→ N represent the number of bikes .
→ Weight of container including bikes is 250+23(n-1) pounds.
To Find :-
→ Weight of container when we have 20 bikes.
Solution :-
→ Weight = 250+23(n-1) pounds
Putting the value of n here .
→ Weight = 250+23(20-1)
→ Weight = 250 +23(19)
→ Weight = 250 + 437
→ Weight of container is 687 pounds.An expression is defined as a set of numbers, variables, and mathematical operations. The container weight with 20 bikes in it will be 687.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that the weight of the container in pounds, including the bikes, can be modeled using the expression 250 + 23 (n-1). Therefore, the container weighs 20 bikes in it will be,
Weight of container = 250 + 23(n - 1)
= 250 + 23(20 - 1)
= 250 + 23(19)
= 250 + 437
= 687
Hence, the container weight with 20 bikes in it will be 687.
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what is the importance of federal system
GUYS PLEASE HELP ME ILL MARK BRIANLIEST AND GIVE EXTRA POINTS I NEED IT ASAP
1. The sum of a number and 81 is greater than the product of 3 and that number. What are the possible values for the number?
2. Which is NOT a solution of the inequality LaTeX: 5-2x≥-3 (A) 0 (B) 2 (C) 4 (D) 5
3. Write the following statement as an inequality: 8 less than a number w is under 35.
4. Solve for t: 3-4t<19 5. Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).
Q1
[tex]n > \frac{81}{2} [/tex]
Q2 D
sry I don't hv time to ans more
Ethan stands 256 cm at point C from a lamp post AB. He is 180 cm tall and his shadow from the lamp is 144 cm long. Find the height AB, in metres, of the lamp post.
Answer:500 cm
Step-by-step explanation:
Given
height of ethan = 180 cm
length of shadow =144 cm
Distance of ethan from lamp =256 cm
from diagram, we can write
[tex]\Rightarrow tan \theta =\frac{FC}{EC}\quad \ldots(i)[/tex]
[tex]\Rightarrow \tan \theta =\frac{AB}{BE}\quad \ldots (ii)[/tex]
From (i) and (ii) we get
[tex]\tan \theta =\frac{FC}{EC}=\frac{AB}{BE}[/tex]
[tex]\Rightarrow \frac{180}{144}=\frac{h}{144+256}[/tex]
[tex]\Rightarrow h=\frac{180}{144}\times 400[/tex]
[tex]\Rightarrow h=500\ cm[/tex]
So, height of lamp post AB is [tex]500\ cm[/tex]
Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24.
Answer:
B = 4
Step-by-step explanation:
Given that B is directly proportional to A then the equation relating them is
B = kA ← k is the constant of proportionality
To find k use the condition B = 3 when A = 18 , then
3 = 18k ( divide both sides by 18 )
k = [tex]\frac{3}{18}[/tex] = [tex]\frac{1}{6}[/tex]
B = [tex]\frac{1}{6}[/tex] A ← equation of proportion
When A = 24, then
B = [tex]\frac{1}{6}[/tex] × 24 = 4
Mr. Drew wants to build a square sandbox with an area of 324 square feet. What is the total length
of wood Mr. Drew needs to make the sides of the sandbox?
He needs to buy __ feet of wood.
(Simplify your answer.)
Answer:
72ft.
Step-by-step explanation:
18(18)=324
18(4)=72
Need help on INEQUALITY
Answer:
A and D
Step-by-step explanation:
3 - 5x > 2
= -5x > 2-3
= -5x > -1
= x < 1/5
Answer:
The correct answer is A. x = 1 or D. x = 7.
Step-by-step explanation
For this problem, we can substitute each of the values and see which ones make the inequality true.
Using x = 1
3 - 5(1) > 2
3 - 5 > 2
-2 > 2
This is not true, so this is not our solution. However, I will show the rest of the solutions anyways.
Using x = 0
3 - 5(0) > 2
3 - 0 > 2
3 > 2
This is true, so x = 0 is a solution to the inequality.
Using x = -1
3 - 5(-1) > 2
3 + 5 > 2
8 > 2
This is true, so x = -1 is a solution to the inequality.
Using x = 7
3 - 5(7) > 2
3 - 35 > 2
-32 > 2
This is not true, so x = 7 is not a solution to the inequality.
look at picture and solve
Step-by-step explanation:
As we can see, the line on the bottom is a perfectly straight 180º line, so the two angles, a and 50º are supplementary angles. Remember: Supplementary angles = 180º, and complementary angles = 90º.
Since this is a 180º line, all we have to do is to subtract 50 from 180 to get our angle a.
180-50 = 130º
Our answer: a = 130º
Evaluate the expression:
x^2+2x−xy when x = 250 and y = −120
Answer:
33000
Step-by-step explanation:
Substituting 250 for x and -120 for y, we get:
(250)^2 + 2(250) - (250)(120) = 62500 + 500 - 30000, or
32500 + 500, or 33000
In a math contest of 10 problems, 5 points were given for each correct answer and 2 points were deducted for each incorrect answer. If Nancy answered all 10 problems and scored 29 points, how many correct answers did she have?
Answer:
Nancy had 7 correct answers.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's assign the variable c to represent the number of correct answers Nancy had and the variable i represent the number of incorrect answers she had.
We know that the total number of answers is 10 because it is given that she answered all 10 problems. This lets us set up the first equation as follows:
c + i = 10
Then, we can set up a second equation using the number of points (29 total). We know that +5 points were added for each correct response (c) and -2 points were added for each incorrect response (i). Our next equation will look like this:
5c - 2i = 29
There are many different strategies one can use to solve systems of equations. In this case, I am going to use combination. This means I am going to add the two equations together. However, first I should multiply our first equation by 2 so that the "I" variable terms cancel out. This is modeled below:
2c + 2i = 20
Now we can add the two equations:
5c + 2c +2i - 2i = 20 +29
Now we can simplify the equation by combining the like terms to get:
7c = 49
Finally, we should divide both sides of the equation by 7 in order to get the variable c by itself on the left side of the equation.
c = 7
Therefore, the correct number of responses Nancy gave was 7.
Hope this helps!
Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard. The length is 5 feet less than 5 times the width. Find the length and width of the fencing. Give the measurements in decimal form.
Answer:
Length = 82.5 feet
Width = 17.5 feet
Step-by-step explanation:
The formula for the Perimeter of a rectangle = 2(Length + Width)
= 2L + 2W
We are told in the question that: Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard
Hence, The perimeter of the rectangular front yard = 200 feet
200 = 2( L + W).........Equation 1
Also, the length is 5 feet less than 5 times the width
L = 5W - 5
Hence,
200= 2(5W - 5 + W)
200 = 2(5W + W - 5)
200 = 2(6W - 5)
200 = 12W - 10
Collect the like terms
200 + 10 = 12W
210 = 12W
W = 210/12
W = 17.5 feet
Substitute 17.5 for W in Equation 1
200 = 2( L + W).........Equation 1
200 = 2( L + 17.5)
200 = 2L + 35
200 - 35 = 2L
2L = 165
L = 165/2
L = 82.5 feet
Therefore, the Length of the rectangular fence = 82.5 feet while the Width of the rectangular fence is 17.5 feet.
6. Find the supplements of the following
c) x + 45°
angles:
b) 108°
d) į right angle
a) 65°
Answer:
c) 135°
b) 72°
d) 90°
a) 115°
Step-by-step explanation:
A supplementary pair are two angles whose measures added is equal to 180°. Set an equation with the given values plus a number (the other angle) equal to 180:
c) [tex]x+45=180[/tex]
Solve. Subtract 45 from both sides:
[tex]x+45-45=180-45\\\\x=135[/tex]
The supplement is 135°
b) [tex]108+x=180[/tex]
Solve. Subtract 108 from both sides:
[tex]108-108+x=180-108\\\\x=72[/tex]
The supplement is 72°
d) [tex]x+90=180[/tex]
Solve. Subtract 90 from both sides:
[tex]x+90-90=180-90\\\\x=90[/tex]
The supplement is 90°
a) [tex]x+65=180[/tex]
Solve. Subtract 65 from both sides:
[tex]x+65-65=180-65\\\\x=115[/tex]
The supplement is 115°
:Done
Help needed ASAP will give brainliest.
Answer:
10
Step-by-step explanation:
We can show this as:
√90 = √9*10Since
9*9 < 9*10 < 10*10Then
9 < √90 < 10The closest number in the list is 10 as all the rest are greater than 10
Second choice is the correct one
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\sqrt{90}[/tex]
[tex]= \sqrt{10}[/tex] (Decimal: 9.486833)
( I don't know it might be wrong )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
the probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that
a.each own a car
b.only one owns a car
Answer:
The data we have is:
the probability that a civil servant own a car is 1/6
Two civil servants are selected at random.
a) The probability that each own a car.
Ok, here we have two events:
Person 1 haves a car.
Person 2 haves a car.
The probability of each of those events is the same, 1/6.
P1 = 1/6
P2 = 1/6
Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.
P = P1*P2 = (1/6)*(1/6) = 1/36.
b) Only one has a car.
Suppose that Person 1 has the car and Person 2 has not a car.
The probability for person 1 is 1/6.
And for person 2, is the negation of having a car:
So if we have prob of having a car = 1/6
Then the probability of not having a car is = 1 - 1/6 = 5/6.
Then we have:
P1 = 1/6
P2 = 5/6.
The joint probability is:
P = P1*P2 = (1/6)*(5/6) = 5/36.
But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.
P = 2*(5/36) = 10/36
find the sum of
137 and -354
Answer:
-217
Step-by-step explanation:
Add them both together because it is asking for the "sum".
-354+137= -217
Graph the line with the equation y = -1/2x – 7
Answer:
Step-by-step explanation:
y = -1/2 x – 7
when x is 0
y = -1/2(0) - 7
y = - 7
(0,-7)
when y is 0
0 = -1/2 x - 7
1/2 x = -7
x = -7(2)
x = -14
(-14,0)
The graph of equation y = -1/2x – 7 is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = - 1/2x - 7
Hence, We get;
The graph of equation y = -1/2x – 7 is shown in figure with slope - 1/2 and y - intercept is - 7.
Thus, The graph of equation y = -1/2x – 7 is shown in figure.
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-3(2x -1) plz help, asap will give brainliest
Answer:
Hey there!
-3(2x-1)
-6x+3
Let me know if this helps :)
Answer:
[tex]- 6x + 3[/tex]
Step-by-step explanation:
[tex] - 3(2x - 1) \\ = - 6x + 3[/tex]
Plz help ASAP Will give brain and 100 points!!!! Is the equation x(x-6)=-5 a quadratic equation? 1. The equation is an quadratic equation because there is an x^2-term 2. The equation is not quadratic equation because the expression is not equal to zero. 3. The equation is not an quadratic equation because there is a term with degree higher than two. 4. The equation is not a quadratic equation because there is no x^2-term.
Answer:
Solution : First Option
Step-by-step explanation:
This equation is quadratic as there is a " x^2 " term present. If you were to expand the equation,
x(x - 6) = - 5,
x^2 - 6x = - 5,
x^2 - 6x + 5 = 0
As you can see this resembles a quadratic equation. Your solution will be the first option, 1. The equation is a quadratic equation because there is an x^2 term
Answer:
The equation is an quadratic equation because there is an x^2-term 2
Step-by-step explanation:
PLEASE HELP FAST!!!!!! How many triangles can be constructed using the following three side lengths: 4.8 cm, 2.1 cm, and 2.6 cm?
one triangle
no triangles
an infinite number of triangles
Answer:
no triangles
Step-by-step explanation:
why?
the triangle inequality theorem
this theorem states that the sum of any two sides must be bigger than or equal to the third side. however, the sum of 2.1 and 2.6 is less than 4.8
a train travelled from city a to city b for the first 14 hours, it travelled at an average speed of 120 km/h. for the next 10 hours it traveled at an average speed of 90 km/h
what was the average speed of the whole journey?
Answer: 107.5
Step-by-step explanation:
120 x 14= 1680
90 x 10= 900
Now you add 1680+900= 2580
Then you divide the distance (2580) between the speed (14+10)
2580/24= 107.5
Which point is the best estimate of 11?
А А.
B
D
E
toh
to
.
3
4
Pls help me it’s due today! >_
Answer:
B
Step-by-step explanation:
Step 1: Find √11
√11 is between perfect squares √9 and √16
√9 < √11 < √16
3 < √11 < 4
So it is between 3 and 4
Step 2: Evaluate
√11 = 3.31662
Closest dot is B.
length of the bases and h is the height, to answer the question. How many square feet of grass
are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft?
Answer:
There are 7,725 square feet of grass on the trapezoidal field
Step-by-step explanation:
Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.
What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.
To calculate this area, what we need to do
simply is to use the formula for the area of a trapezoid.
Mathematically, the area of a trapezoid can be calculated using the formula;
Area of trapezoid = 1/2 * (a + b) * h
where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.
From the question;
a, b = 81ft and 125 ft
h = 75 ft
Substituting these values, we have :
Area = 1/2 * (81 + 125) * 75
Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2