find the greatest number by which 90,120 and 150 are exactly divisible
Answer:
30
Step-by-step explanation:
Prime factors of 90 = 2 x 3^2 x 5
Prime factors of 120 = 2^3 x 3 x 5
Prime factors of 150 = 2 x 3 x 5^2
Common prime factors with lowest exponent: 2, 3, 5
HCF(highest common factor) = 2 x 3 x 5 = 30
Answer:
30
Step-by-step explanation:
30 is divisible by 90, 120 and 150
. Jordyn can swim 4/5 mile in 1/3 hour. How far can she swim in 1 hour?
Answer:
2.4 miles
Step-by-step explanation:
This is a simple ratio problem.
Jordyn swims 4/5 mile in 1/3rd hour. So how many miles will they go in 1 hour? Let that be x:
That is 12/5 miles or 2 2/5 miles
In decimal, that's 2.4 miles
Answer:
fraction: 2 2/5 miles
decimal: 2.4 miles
Step-by-step explanation:
4/5*3=
12/5
JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place?
Answer: $9.20
Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.
Answer:
$1.20
Step-by-step explanation:
He has to leave 100% of the cost which is $5.50 + 2.50 or $8.00.
He wants to leave 115% of the $8 he has to leave.
So you set it up like
x/8 = 115/100
Then you solve for x
8(115) = 920
920/100 =9.2
So he will leave $9.20.
It then asks for just how much the tip is that he will leave so
9.2 - 8 = 1.2
So the tip is $1.20.
A $35,000 investment at 5.5% for 30 years. Find the future value.
Answer:
$174438.30
Step-by-step explanation:
35000 × 1.055^30
(original amount) × (decimal percentage)^(years)
35000 × 1.055^30 = 174438.2951
round it up to = $174438.30
A parallelogram has a base of 9 units and an area of 12 square units. What is the corresponding height for that base?
Answer:
12x9
Step-by-step explanation:
12x9 equals ____ square units
Question 2 of 10
Simplify this expression:
(Look at the picture)
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
sqrt9= 9^1/2
9^1/2*2=9^1
=9
Simplify the following expression five to the power of -3
Y0UR M0MWY 100KS L1KE TH1$
Answer:
I'm confused to what this means
Below are two parallel lines with a third line intersecting them.
x =x=x, equals
^\circ
∘
degrees
Answer:
x=50
Step-by-step explanation:
That is becasue they are in the same spot on different parallel lines.
I Give Brainiest
In the figure above,AD intersects BE at C. If x=100 , what is the value of y?
A) 100
B) 60
C) 90
D) 80
Answer:
The answer is D), 80.
Step-by-step explanation:
All sides of a triangle must add up to 180°. So, if x = 100, angle BCA must equal 60° because 180 - 120 = 60. Since angles BCA and DCE are vertical angles, they are equal, making angles DCE 60°. All you need to do now is add up 60 + 40; that should give you 100. You also need to subtract that from 180 to get your final answer of y = 80°.
The solution is Option D.
The value of y from the two triangles is given by the equation y = 80°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ABC
Now , let the second triangle be represented as CDE
Now ,
The measure of angle x = 100°
The measure of ∠ACB = measure of ∠DCE ( vertically opposite angles )
And , for a triangle ∠A + ∠B + ∠C = 180°
So , The measure of ∠ACB = 180° - ( x° + 20° )
And , the measure of ∠DCE = 180° - ( y° + 40° )
Substituting the values in the equation , we get
180° - ( x° + 20° ) = 180° - ( y° + 40° )
when x = 100°
Subtracting 180° on both sides of the equation , we get
- ( x° + 20° ) = - ( y° + 40° )
( 100° + 20 ) = ( y° + 40° )
( y° + 40° ) = 120°
Subtracting 40° on both sides of the equation , we get
y = 80°
Hence , the measure of angle ∠y = 80°
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Which Trigonometric functions have a domain of (-1,1)
Answer:
Step-by-step explanation:
[−1,1] and [0, [tex]\pi[/tex]]
hope this helped :)
Answer:
A. y = arcsinx and y = arccosx
Step-by-step explanation:
See the graph
Solve these plsssssssssss
Answer: B
Step-by-step explanation:
Alexis was given the data in the table below. She will use her calculator to find a model to predict the locations of other points that follow the same trend.
X
40
32
38
21
у
10
8
10
5
Based on the table, which is the best model for making this prediction?
O y= 1.04x - 2.29
O y = 2.29x -1.04
O y = 0.28x -0.77
O y = 77x + 28
Answer:
y = 0.28X - 0.77
Step-by-step explanation:
Given the data :
X:
40
32
38
21
у:
10
8
10
5
Equation of regression line is in the form:
y = mx + c
Where y = predicted variable ;
c = intercept ; m = slope or gradient ; x = predictor variable
Using The correlation Coefficient calculator :
The regression equation obtained is :
ŷ = 0.2754X - 0.77028
Rounding values in our regression output to 2 decimal places :
y = 0.28X - 0.77
Hence best model to make prediction :
y = 0.28X - 0.77
The graph of F(x), shown below, has the same shape as the graph of G(x) = x^3, but it is shifted down 2 units. What is its equation?
Assume that y varies directly with x. If y=9 when x=−3, find x when y=6. Enter in any fractions using a / (e.g. "1/2" is the same as 1^/2).
Answer: 2
Step-by-step explanation:
This is a direct proportion. Since y varies as x. This will be:
y = kx
where,
y = 9
x= 3
9 = 3k
k = 9/3
k = 3
Find x when y=6
y = kx
6 = 3x
x = 6/3
x = 2
SOMEBODY PLEASE FAST HELP!! (view photo, math related)
A 40 kg-skier is standing at the top of a 12-meter high slope. What is her potential energy? PE = m x g x h (g = 10m/s2) A. 6000J B. 48J C. 4800J D. 400J
Answer:
The correct option is;
C. 4800 J
Step-by-step explanation:
The given parameters are;
The mass of the skier = 40 kg
The height of the slope = 12 meter
The acceleration due to gravity, g = 10 m/s²
The potential energy, PE, is given by the formula PE = Mass, m × Acceleration due to gravity, g × Height, h
Substituting the values, gives
The potential energy, PE = 40 kg × 10 m/s² × 12 m = 4800 kg·m²/s² = 4800 J
The potential energy, PE = 4800 J
What is X2 + 3(4) - 1 = 47?
Answer:
x=6, -6
Step-by-step explanation:
take the root of both sides then solve
Answer:
x = 18
Step-by-step explanation:
2x + 3(4) - 1 = 47
Begin by combining your like terms
2x + 12 - 1 = 47
2x + 11 = 47
Isolate your variable (x) by using inverse operations
2x = 36
x = 18
1. 4 2/3 x 4/5
2. 8⋅2−7−5
3. 7(6+8)−4
4. 10−2+(6⋅2−4)
20 POINTS+ BRAINLIEST IF YOU ANSWER MORE THAN 1 ! ! ! ! ! !
6. irrational numbers are numbers that
7. The number 3 is ____ because it is ____.
Answer:
irrational numbers are numbers that can't be written as a fraction
the number 3 is rational because it is an integer
I don’t know how to do this it would be very much appreciated if someone could solve this for me thank you.
help i’ll give brainliest
Answer:
I think its 4.5
Step-by-step explanation:
area is length × width
Describe the rate of change of the function below.
Using the model, approximate the number of ice cream cones sold when it is 85°F. Round your answer to the nearest whole number.
Answer:
76.1
Step-by-step explanation:
y = ice cream
z = Tempreature
y = 1.8(85) - 76.9
1.8(85) = 153
153 - 76.9 = 76.1
Answer:
76
Step-by-step explanation:
y = 1.8(85) - 76.9
y = 153 - 76.9
y = 76.1
and when you round to the nearest whole number,
y = 76
Find the 5th term of the
sequence: -8,-1, 6, 13...
Answer:
20
Step-by-step explanation:
you add 7 each time
Answer:
20
Step-by-step explanation:
Find the pattern: +7. so the next one is 13+7 which is 20.
Hope this helps plz mark brainliest :D
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 units
Answer: 41 units
Step-by-step explanation: took the quiz
The length of the diagonal is 41 units.
To find the length of a diagonal.
What is rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
Let a right triangle with legs length 9 units and 40 units and hypotenuse is the diagonal length c.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]9^{2} +40^{2} =c^{2}[/tex]
[tex]81+1600=c^2\\1681=c^2[/tex]
sqrt both sides
41=c
So, the length of the diagonal is 41 units.
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Round 9,675,599 to the nearest 1,000.
Answer: 9,676,000
Step-by-step explanation:
Increase the digit by 1 if the previous digit is 5 or above
Answer: 9676000
Step-by-step explanation: you have to go the thousands place and round up because anything 5 or below round up
Solve for X and Solve for Y
Answer:
x is 56 and y is 65
Step-by-step explanation:
Someone help this is my last question
Answer:
21.40093456 or 21 miles
Step-by-step explanation:
17^2 + 13^2 is 458, and the [tex]\sqrt{458}[/tex] is 21.40093456.
Answer:
17² + 13² = c²
289 + 169 = 558
[tex]\sqrt558[/tex] = 23.62203 repeating
Step-by-step explanation:
Select the correct answer. The points scored per game by a professional basketball player are represented by the box plot below. If the player scores 9 points and 35 points in the next two games, how is the median of the data set affected? A. The median points per game is not affected. B. The median points per game decreases. C. The median points per game increases. D. The effect on the median points per game cannot be determined.
Answer:
may answer will be option A or B not sure about this answer
Step-by-step explanation:
Answer:
The median points per game is not affected.
Step-by-step explanation: