A ball is thrown straight up with an initial velocity of 35.7 m/s. How long does
it take to hit the ground?
y = v₀t - gt²/2
For y=0 (back to where we started),
0 = t(v₀ - gt/2)
t=0 (which we knew) or v₀ - gt/2 = 0
v₀ = gt/2
2v₀ = gt
t = 2v₀/g
t = 2 (35.7 m/s) / (9.8 m/s/s) = 7.3 seconds
Answer: 7.3 seconds
The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4?
Answer:
2/3
Step-by-step explanation:
Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.
1/4 = 2/3 of the fraction 3/8
A restaurant bill is $27.50. If the sales tax is 7.5% and a 20% tip is added, what is the total cost of the meal?
(PLEASE ANSWER ASAP)
Answer:
35.06
Step-by-step explanation:
So you have to multiply 27.50 by 0.075 to find the sales tax.
2.0625 ≈ 2.06
If the tip is off the original price, you multiply 27.50 by 0.2.
5.5
The whole meal is 27.50 + 5.50 + 2.06 = 35.06
Total cost of meal is $35.06.
What is percentage?A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that,
The bill amount = $27.50
tax amount = 7.5%
tip amount = 20%
Now 7.5 % of bill amount
= 27.50x 7.5/100
= 27.50 x 0.075
=2.0625
≈ 2.06
Now 20% of bill amount is
= 27.50 x 20/100
= 27.50x0.2
= 5.5
Now,
The total cost
= 27.50 + 5.50 + 2.06
= 35.06
Hence $35.06 is the total cost.
Learn more about the percentage visit:
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Estimate 3 3/8 X 10 13/15
Answer:
36.70
Hope this helps!
Answer:
The estimation of this equation is the number 33
Step-by-step explanation:
First Estimate is defined as to roughly calculate or judge the value of a number or a quantity. In this case we are roughly calculating a number or otherwise known as a fraction. So 3 3/8 would be Rounded to the whole number 3 , due to the fact that the 3/8 is less then the 4/8 , and the 10 13/15 would be estimated to 11 , due to the fact that is more than the 7.5/ 15 . So, 3 times 11 would be the estimate of 33.
What similarity property, if any, can be used to show that the following two triangles are similar
A. Not enough information given
B. AA
C. SAS
D. SSS
Please answer this
-12 + 7 would it be 5 -19 - 5 or 19
Step-by-step explanation:
-12 +7
=-5 .
Therefore, 5-19-5
= -19.
In all, -12+7 can not be 5-19 or 19
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?
The three consecutive odd integers : 7, 9, 11
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
+ , - , : , x
integer number: numbers consist of positive, negative and 0 numbers
Odd number: Any integer that cannot be divided by 2.
The last digit is 1, 3, 5, 7 or 9
Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers
Then consecutive odd numbers can be symbolized:
x, x + 2, x + 4, x + 6, x + 8, etc.
For example, 3 consecutive odd numbers are:
x + 4, x + 6, x + 8
the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:
(x + 8) + 2 (x + 4) = 25
So the solution:
x + 8 + 2x + 8 = 25
3x + 16 = 25
3x = 9
x = 3
So the smallest number is:
= x + 4
= 3 + 4
= 7
or
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.
Answer:
The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Step-by-step explanation:
The problem asks to use x to represent the smallest of the three integers.
Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.
Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.
The three odd integers are
x, x + 2, x + 4
The problem then states "the sum of the largest and twice the smallest is 25."
The largest one is x + 4.
Twice the smallest is 2x.
Their sum is 2x + x + 4.
That sum equals 25.
2x + x + 4 = 25
3x + 4 = 25
3x = 21
x = 7
The smallest integer is 7.
Then x + 2 = 7 + 2 = 9,
and x + 4 = 7 + 4 = 11.
Answer: The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Determine the equation for the line of best fit to represent the data.
scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero
y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4
Answer: B
Step-by-step explanation:
Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )
Let's first find the slope M
M = (0 - 4)/( 7 - 0)
M = - 4/7
Since the line of best fit is linear, let adopt general equation of straight line
Y = MX + C
As the line passes through ( 0 , 4 )
Substitutes for Y and X
4 = - 4/7 (0) + C
C = 4
Where C = intercept
The equation for the line of best fit to represent the data will be:
Y = - 4/7 X + 4
Y equals negative two thirds times x plus 4
Answer:
It is B.
Step-by-step explanation:
I took the test... :)
algebra applications: find the value of x and y
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
[tex]5x-y+150=180[/tex] ...........(1)
[tex]5x-y=180-150[/tex]
[tex]5x-y=30[/tex] ............(2)
[tex]5x+y+130=180[/tex] ...........(3)
[tex]5x+y=180-130[/tex]
[tex]5x+y=50[/tex] ...........(4)
Now we adding equation 2 and 4, we get the value of x.
[tex]5x-y+5x+y=30+50[/tex]
[tex]10x=80[/tex]
[tex]x=8[/tex]
Now we are putting the value of x in 4, we get the value of y.
[tex]5x+y=50[/tex]
[tex]5(8)+y=50[/tex]
[tex]y=50-40[/tex]
[tex]y=10[/tex]
Therefore, the value of x and y is 8 and 10 respectively.
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answer:
30 minutes
Step-by-step explanation:
Dina took 2 hours to finish the path, since she biked at 10 km/h.
This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.
To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.
Is (–5, 0) a solution to the equation y = 7x − 5?
Answer:
no
Step-by-step explanation:
to see, plug in -5 for x and find your y outcome.
y = 7(-5) -5
y = -35 - 5
y = -40
since y does not equal 0, (-5,0) is not a solution for the equation.
Answer:
no
Step-by-step explanation:
y = 7x − 5?
Substitute the point into the equation
0 = 7(-5) -5
0 = -35-5
0 = -40
This is not true so (-5,0) is not a solution
A bird (B) is spotted flying 900 feet from an observer. The observer (O) also spots the top of a tower (T) at a height of 200 feet. What is the angle of depression from the bird (B) to the observer (O)? (4 points) Right triangle OTB is shown. Side OT labeled 200 and side BO is labeled 900. The angle B is labeled x degrees.
Answer:
x = 12.52°
Step-by-step explanation:
The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
Answer:
The answer is x = 12.84°
Step-by-step explanation: I took the test
To convert a distance of 4500 yards to miles, which ratio could you multiply
by?
O A.
1760 miles
1 yard
B.
5280 feet
1 mile
C.
1760 yard's
1 mile
D.
1 mile
1760 yards
SUBMIT
Find the number that makes the ratio equivalent to 2:3.
6: ___
Answer:
Step-by-step explanation:
2:3 = 6: ___
[tex]\frac{2*3}{3*3}=\frac{6}{9}[/tex]
2:3 = 6 :_9___
Answer:2:3=6:9
Step-by-step explanation:
2×3/3×3=6/9
2:3=6:9 !!!!!!!!
f(x)=5x−3
f(5) = ???
Answer:
22
Step-by-step explanation:
5(5) -3
25-3
22
Answer:
the answer is 22.
Step-by-step explanation:
What is the height of the pyramid??
Which graph represents the solution for the equation 1/6 x = -2x + 5?
1 GEOMETRY - 1206310)
. An angle expression in an equilateral triangle is 3x + 12. What is the value of X?
Answer:
16
Step-by-step explanation:
The angle in an equilateral triangle is given as:
3x + 12
The angle is an equilateral triangle is 60°. Therefore:
3x + 12 = 60
=> 3x = 60 - 12 = 48
x = 48 / 3 = 16
x is 16
Help with 11, 12, 13 pls. You get 10 points
The cost to purchase a movie from Move Time is 3.00 per movie as well as a 10.00 membership fee. To purchase a movie from Movie City, the membership fee is 30.00 and every downloaded movie is 2.00. How many downloaded movies must be purchased for the monthly price to be the same. (Can someone turn this into an equation for me?)
Answer:
20
Step-by-step explanation:
Let x represent the number of movies bought/downloaded
3x + 10 = 2x +30
Subtract 2x and 10 from both sides
x = 20
Answer:
3x + 10 = 2x + 30
Step-by-step explanation:
Let the number of movies downloaded = x
Movie time:
3x + 10
Movie city:
2x +30
3x + 10 = 2x + 30
3x -2x = 30 - 10
x = 20
Which equation illustrates the commutative property of addition?
12 + 6 + 15 = 12 + 15 + 6
12 + 6 + 15 = 12 + (6 + 15)
12 + 6 + 15 = 18 + 15
12 + 6 + 15 = 12 + 6 + 15
Answer:
12 + 6 + 15 = 12 + 15 + 6
Hope this helps :D
The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
Answer:
The answer is -2.968
Step-by-step explanation:
I took the test and got it right unlike the other person who got it wrong for me.
If the air temperature is −14°F, how many degrees must it rise to reach 0°F?
Answer:
14°
Step-by-step explanation:
→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.
→The temperature is -14, so to get it to 0, you add 14:
-14 + 14 = 0
Answer: 14 degrees
Step-by-step explanation:
-14 + x = 0
What is the greater of -5
Use the discriminant to determine the number of real solutions to the quadratic equation. −u2+2u−5=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer: None, 0 real roots
Step-by-step explanation:
To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]
b = 2
a = -1
c = -5
[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]
iff x > 0: 2 roots
iff x < 0: none
iff x = 0: 1 root
Actual Explanation and Intuition behind it:
If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level
If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer
If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0
The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]
Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.
Answer: 7bb +19 ll ≥210
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)
Mathematically speaking:
7 bb + 19 ll ≥210
pls i need the help.
Answer:
3. 16a+24b
Step-by-step explanation:
I know this because I grouped the eqatiobs together
Answer:
#3. 16a + 24b
Step-by-step explanation:
P= 2( length plus width).
what number is being factored in this factor tree?
Answer:
164
Step-by-step explanation:
82 multiplied by 2
Answer:
164
Step-by-step explanation:
2 *82=164
Write as a mixed number 5.06
Answer:
5[tex]\frac{3}{50}[/tex]
Step-by-step explanation:
0.06 = 6/100 = 3/50
Answer:
5 [tex]\frac{3}{50}[/tex]
Step-by-step explanation: