Answer: 190
Explanation: Divide 97.5 from 195% and then round.
The Jacks height from the given situation is 49.08 inches.
Given that, Jack can long-jump 195% of his height with a running start.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the height of jack be x.
So, 195% of x = 95.7
⇒ 195/100 × x=95.7
⇒ 1.95x=95.7
⇒ x=95.7/1.95
⇒ x=49.08 inches
Hence, the Jacks height from the given situation is 49.08 inches.
To learn more about the percentage visit:
brainly.com/question/24159063.
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Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear equations?
Answer:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
[tex] 3x - 2y = 7 [/tex] ----› Equation 1
[tex] y = x + 2 [/tex] -----› Equation 2
Substitute y = (x + 2) in equation 1
[tex] 3x - 2y = 7 [/tex] ----› Equation 1
[tex] 3x - 2(x + 2) = 7 [/tex] (substitution)
[tex] 3x - 2(x) -2(+2) = 7 [/tex] (distributive property)
[Note: this is where Carolyn made a mistake]
[tex] 3x - 2x - 4 = 7 [/tex]
Collect like terms
[tex] x - 4 = 7 [/tex]
[tex] x = 7 + 4 [/tex] (addition property of equality).
[tex] x = 11 [/tex]
Substitute x = 11 in equation 2
[tex] y = x + 2 [/tex] -----› Equation 2
[tex] y = 11 + 2 [/tex] (substitution)
[tex] y = 13 [/tex]
✅The solution to the system of equations would be:
(11, 13)
3/4 divided by (-5/8)
Answer:
-6/5
Step-by-step explanation:
g The test statistic of z=2.27 is obtained when testing the claim that p≠0.826. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
Answer: a. Hypothesis test is two tailed as [tex]H_a[/tex] is two tailed.
b. p-value =p-value
c. We failed to reject [tex]H_0[/tex].
Step-by-step explanation:
Given : Test statistic : z = 2.27
Claim: p ≠ 0.826 i.e. Alternative hypothesis : [tex]H_a:p\neq0.826[/tex] [ alternative hypothesis takes ≠]
a. Hypothesis test is two tailed as [tex]H_a[/tex] is two tailed.
b. The two-tailed p-value for z=2.27 is 0.0232. [By p-value table]
c. Using a significance level of α=0.01,
p value > α
so we failed to reject [tex]H_0[/tex]. [When p-value > α we cannot reject null hypothesis.]
A vacuum cleaner has a wholesale price of $50. and a markup rate is 50%. What is the markup and retail price of the vacuum?
Answer:
Retail price = $75
Step-by-step explanation:
1. State the given
The price of the vacuum cleaner's wholesale; $50.
The rate of mark up that the vacuum cleaner is sold at; 50%.
This means that the vacuum cleaner's sales price is 1.5 times the price of its wholesale.
2. Form am equation and solve
Use the equation:
wholesale_price * markup = retail_price
Now use the given information
50 * 1.5 = retail price
Solve
50 * 1.5 = 75
retail price = $75
Write any number and its additive inverse.
Answer: Additive Inverse of 17 = -17
The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -17?" or "What is the additive inverse of negative 17?" is 17. Since the additive inverse of 17 is -17, additive inverse is also known as the opposite number.
Step-by-step explanation:
is this what you meant??
Suppose a country consists of 35 states, each of which is assigned a certain number of electoral votes. How many possible coalitions (each coalition including at least one state) are there?
Answer:
nm mn
Step-by-step explanation:
What is the area of the rectangle?
4 cm
3 cm
O4 square centimeters
O 7 square centimeters
O 12 square centimeters
O 24 square centimeters
12 square centimeters
Step-by-step explanation:
You just multiply the length x the width which is just 3 x 4
Principal Anthony greeted 34 students this morning. She greeted 32 students yesterday morning. Today she said goodbye to 88 students. How many more students did she say goodbye to than students she greeted?
Answer:
22
Step-by-step explanation:
you have to add the students She greeted together and then take it away from the students she said goodbye to
Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (4,-9)
Midpoint: (10,8)
Answer:
Other Endpoint (x₂,y₂) = (16,25)
Step-by-step explanation:
We are given endpoint = (4,-9) and midpoint(10,8) we need to find the other endpoint of line segment.
Let other endpoint be (x₂,y₂)
The formula used to find other endpoint is using formula of midpoint
[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We have [tex]x_1=4 , y_1= -9 , x_m=10, y_m=8[/tex]
Using formula and finding (x₂,y₂)
[tex]M(x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(10,8)=(\frac{4+x_2}{2},\frac{-9+y_2}{2})\\10=\frac{4+x_2}{2} , 8=\frac{-9+y_2}{2}\\Finding\ x_2\\10*2=4+x_2 \\20=4+x_2\\x_2=20-4, \\x_2=16\\Finding \ y_2\\8*2=-9+y_2\\16=-9+y_2\\y_2=16+9\\y_2=25[/tex]
So, x₂=16 and y₂=25.
So, Other Endpoint (x₂,y₂) = (16,25)
alexis made 24 cookies with 8 teaspoons of sugar and 45 cookies with 15 teaspoons of sugar. what is the constant of proportionality?
Answer:
3:1
Step-by-step explanation:
divide the cookies by the number of spoons
24 cookies per 8 spoons = 3 cookies per 1 spoon
45 cookies per 15 spoons = 3 cookies per 1 spoon
all the above results both had a proportionality of 3 cookies to 1 spoon arriving to the result 3:1PLEASE HELP ME!! 99 POINTS!!!!!!
Which of the following expressions have a value of 180 when b = 4?
Select all that apply.
A. 87b−179+957÷87
B. 33b12
C. b2+120
D. 51b−24
E. 11b+187−2,756÷13
Answer:
=> 51b - 24
=> 51(4) - 24
=> 204 - 24
=> 180
Answer:
A. 87b-179+957/87
D. 51b-24
Step-by-step explanation:
A. 87(4)-179+957/87
348-179+957/87
348-179+11
169+11
180
B. 33b12
33(4)12
553648128
C. b2+120
(4)2+120
8+120
128
D. 51b-24
51(4)-24
204-24
180
E. 11b+187-2756/13
11(4)+187-2756/13
44+187-2756/13
44+187-212
231-212
19
Evaluate This Question
2y+7z-2z+4y+8+y+2 Combine Like Terms
Answer:
7y+5z+10
Step-by-step explanation:
7y+5z+10
Answer:
B.
Step-by-step explanation:
2y + 4y + y = 7y
7z + (-2z) = 5z
8 + 2 = 10
Bill runs around the perimeter of a circular track at 11 ft/sec. The track has a radius of 110 yd. After 24 seconds, Bill turns and runs to the center of the track along a straight (radial) line. Upon reaching the center, he turns and runs away along a different radial line to his starting position on the perimeter. Assume Lee does not slow down when he makes these two turns.
Required:
a. Sketch a picture of the situation.
b. How far has Lee traveled once he returns to his starting position?
c, How much time will elapse during Lee's circuit?
d. Find the area of the pie shaped sector esclosed by Lee's path.
Answer:
Step-by-step explanation:
We can see the sketch of the diagram in the image attached below.
Since 1 yard =3 feet
110 yards = 330 feet
Using: Distance = speed * time
If the speed of Lee is 11 ft/sec, he will travel the distance = 11 ft/sec * 24 sec = 264 ft in 24 sec.
The distance traveled = 264 ft
After traveling 264 ft, he takes a turn radially towards the center, then again takes a turn as he reaches the center.
b)
Total Distance traveled = A + B + C
A = C = 330 ( radius of the circle)
= 330 + 110 + 330
= 770 ft
c) Using the expression:
Speed = Distance/time
time = Distance/Speed
time = 770/11
time = 70 sec
d)
Area = 1/2 r²θ
Area = 1/2 r² (l/r)
Area = 1/2 × r × l
Area = 1/2 × 330 × 110
Area = 18150 ft²
Show work. This is a BC calculus problem.
Answer:
D.
Step-by-step explanation:
Recall that the limit definition of a derivative at a point is:
[tex]\displaystyle{\frac{d}{dx}[f(a)]= f'(a) = \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}[/tex]
Hence, if we let f be ln(x + 1) and a be 1, this yields:
[tex]\displaystyle f'(1)= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}[/tex]
Hence, the limit is equivalent to the derivative of f at x = 1 or f’(1).
In conclusion, our answer is D.
Why do plants hate math?
Answer:
be they just do hahahaha
Please help I need this ASAP!
Answer:
nope
Step-by-step explanation:
Simplify The Complex Fraction -3/5 ÷ 2 1/4
Answer:
Simplify the expression.
Exact Form:
-4/15
Decimal Form:
-0.2666666......
Step-by-step explanation:
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay altogether?
4. After tax is added to the sale price, how much does Molly pay for the dress?
Answer:
13.20
Step-by-step explanation:
20.00 - 40% + 10% = 13.20
Simplify (2-3x4+5)^2
Which statement about the graph is true?
On a coordinate plane, a line goes through points (0, 2), (2, 3), (4, 4), (6, 5).
A. The graph shows a proportional relationship because it is a line, and the difference between each point is the same.
B. The graph shows a proportional relationship because it is a line, and each x-value is a multiple of 2.
C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.
D. The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.
Answer:
a
Step-by-step explanation:
Answer:
C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
Where m is the slope and b is the y-intercept.
Not all lines represent proportional relationships. The condition for a line to be a proportional function is that b=0, i.e., the y-intercept is the origin.
The graph shown in the figure has a y-intercept of 2, thus the line is not a proportional relationship.
If the equation of the line is proportional (b=0), then:
y = mx
Or:
y/x = m
The ratio between each value of y and x must be constant.
This is not the case, because
3/2, 4/4, 6/5 result in different values and 2/0 doesn't even exist. Thus the correct answer is:
C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.
Which of following is the graph of y = -(x + 1)2 -3?
Answer:
c
Step-by-step explanation:
Answer:
The Answer is C.
Step-by-step explanation:
Edge 2021
find the measures of -5x+32
Answer: What shape is this? A triangle?
Step-by-step explanation:
Assuming that this is a triangle with no 90 degree angles:
-5x + 32 = 180
-32 = -32
---------------------
-5x = 148
----- = -----
-5 = -5
x = -29.6
Assuming that this is a triangle with 90 degree angles:
-5x + 32 = 90
-32 = -32
----------------------
-5x = 58
----- = -----
-5 = -5
x = 11.6
For both of these you would get a decimal so you need to provide an image or more information to your question
(01.01 LC) Evaluate the expression 3(7 + 4)2 - 14+7
A plane has an airspeed of 107 km/h . It is flying on a bearing of 85 degrees while there is a 30 km/h wind out of the northeast (bearing 225degrees ). What are the ground speed and the bearing of the plane?
Answer:
GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPPPPPEEEEEEE
Step-by-step explanation:
Four people recorded the miles they drove and the time they spent driving. The table below shows
their data.
Person Miles Driven Hours Driven
Alice
246
6
10
Bret 480
Charles 165
2.5
Donna 1023
18
On average, which person drove the furthest in one hour?
A Alice
B Bret
C Charles
D Donna
Answer:
C: Charles
Step-by-step explanation:
165 miles divided by 6 hours
165/2.5
66 miles in one hour
Can someone please help me? I give high points!
Answer:
lola has 12 dollars
Step-by-step explanation:
Answer:
The amount that Lola has is $12
Step-by-step explanation:
. A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
Answer:
1200 milimeters
Step-by-step explanation:
7x-5=8(x+3) solve for x
Answer:
The value of x is -29.
Step-by-step explanation:
We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.
[tex]\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}[/tex]
Now that we have solved for x, we can plug in -29 to see if we get a true statement.
[tex]\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark[/tex]
Because we ended up with a true statement, we have determined that the value of x is -29.
Answer:
[tex]7x - 5 = 8(x + 3) \\ 7x - 5 = 8x + 24 \\ 8x - 7x = - 24 - 5 \\ \boxed{x = - 29}[/tex]
x = -29 is the right answer.how many miles can you drive in 1/2 hour
Answer:
2 miles
Step-by-step explanation:
it depends on how many hours per hour but 2 miles would be the average answer.
hope this helps. have a good day. :)