Answer:
12 mph and 4 mphStep-by-step explanation:
Let the speed of the boat = b and the speed of the current = cEquations to reflect time, time = distance/speed:
Downstream80/(b + c)= 5 ⇒ b - c = 80/5 ⇒ b + c = 16Upstream80/(b - c) = 10 ⇒ b - c = 80/10 ⇒ b - c = 8Sum of the 2 equations above
b + c + b - c = 16 + 82b = 24b = 12c = 16 - 12 = 4So the speed of the boat is 12 mph
The speed of the current is 4 mph
A student used his place value chart to show a number. After the teacher instructed him to divide his number by 100,the chart showed 28.003. What number was on the place value chart to begin with
Answer: When you divide by 100 you are essentially moving the decimal of the number two places to the left. In undoing this you would have to move the decimal of the number two places to the right.
28.003 would then turn into 2,800.3
Step-by-step explanation:
Unfortunately I cannot draw a chart on here but that is the best I can do.
Solve 9x-y = 4 for y.
Answer:
Write in slope-intercept form, y = m x + b .
y = 9 x − 4
Step-by-step explanation:
Answer:
y =9x +4
Step-by-step explanation:
9x - y = 4
9x - y + (-9x) = 4 + (-9x)
-y = 4 - 9x
-y/-1 = (4-9x)/ -1
y = 9x +4
What is the slope of the line with equation y−3= -1/2(x−2)
Answer:
m= -1/2
Step-by-step explanation:
y= -1/2x+1+3
y= -1/2 x +4
Step-by-step explanation:
Hey there
Given;
[tex](y - 3 )= \frac{ - 1}{2} (x - 2)[/tex]
Comparing the equation with (y-y1) = m(x-x1). We get,
[tex]slope(m) = \frac{ - 1}{2} [/tex]
Hope it helps...
If you walked for 10 minutes, what would the ratio of yards to minutes be?
Show your calculation.
Answer:
ratio of yards to minutes is;
900:10 or 90:1
Step-by-step explanation:
From research, the average person walks at around 3 miles per hour which approximately 1.5 yards/s.
Now, 60 seconds make a minute.
Which means in a minute, an average person will have walked; 1.5 × 60 = 90 yards/minute
Thus, in 10 minutes, average person will have walked; 90 × 10 = 900 yards
Thus, ratio of yards to minutes is;
900:10 or 90:1
A spelling test is given to 400 students in Madison country. Those who score in the top 5% will compete in the country spelling bee. How many students will be in the country spelling bee.
Answer:20
Step-by-step explanation:
Answer:
20 students
Step-by-step explanation:
20 students
We know that 5% of 100 is 5
And 5% of 200 is 10
5% of 300 is 15
So that must mean 5% of 400 is 20
Hopefully this solves your problem! Hope you have a good day!
Classify the following triangle. Check all that apply.
What is the measure of B
Answer:
B = 82
Step-by-step explanation:
180 = 143 - A
-143 -143
37 = A
That is to find the measure of angle A
180 = 61 + 37 + B
180 = 98 + B
-98 -98
82 = B
Anna is playing a trivia game. If she gets an answer correct, she wins 5 points. If she gets an answer incorrect, she loses 5 points. After playing a few rounds, her score was a -5. She played five more rounds, and her results were as follows: incorrect, correct, correct, incorrect, correct. What is her new score?
Answer:
I believe it would be zero
Step-by-step explanation:
Select the correct answer.
If 32% of a number is 64, what is the number?
ОА.
50
OB.
96
O C.
100
OD.
200
Answer:
D. 200
Step-by-step explanation:
If you would like to solve 32% of a number is 64, you can calculate this using the following steps:
32% of a number is 64
32% * x = 64
32/100 * x = 64 /*100/32
x = 64 * 100 / 32
x = 200
Result: 32% of 200 is 64.
Place parentheses in the expression so that it equals the given value 12 = 2 X 23; value: 120
Write a linear equation that has a slope of 1/2 and a y-intercept at the origin.
Answer:
y=1/2x
Step-by-step explanation:
Slope intercept form is the most commonly used linear equation:
It goes like this:
[tex]y=mx+b[/tex]
In this equation, m is the slope and b is the y-intercept.
Your line has a slope of 1/2. So, your m-value is 1/2.
y=1/2x+b
B, your y-intercept, is at the origin.
The origin is the point (0,0).
So b, is 0 (y-intercept is the y-value when x is 0)
y=1/2x+0
=
y=1/2x
A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.3 and a standard deviation of 0.4. Out of the163 people who made it through the interview process, only 121 can be hired. What cut-off GPA should the company use
Answer:
3.04
Step-by-step explanation:
Mean = 3.34
Standard deviation= 0.4
n = 163
X ~ N(3.3, 0.4)
The cut off gpa = j
P(x>j) = 121/163
P(x<=j) = 42/163 = 0.26
O.26 represents the 26th percentile
We solve further by using Microsoft Excel. We use the function NORMINV on excel to get GPA
X =. NORMINV(0.26, 3.3, 0.4)
X = 3.04 approximately
We conclude that the required gpa is 3.04
The area of a rectangular field is 5893 yd?. If the width of the field is 71 yards, what is its length?
R is between Q and S. if RS = 44.6 and SQ = 68.4, find QR
Look At the picture PLEASE
Answer:
answer is D
Step-by-step explanation:
because 4÷4=1
16÷4=4
Answer:
B
Step-by-step explanation:
Square root is a number multiplied by itself to get the answer
2/4 times 2/4 = 4/16
The shorter leg of a right triangle is 7 ft shorter than the longer leg. The hypotenuse is 7 ft longer than the longer leg. Find the side lengths of the triangle.
Answer:
shorter leg = 21 ft
longer leg = 28 ft
hypotenuse = 35 ft
Step-by-step explanation:
Let's call the longer leg of the triangle "b", the shorter leg "a", and the hypotenuse "h"
Then we have the following two equations:
a = b - 7
h = b + 7
And we can use the Pythagorean theorem to relate all three sides of the triangle:
[tex]h^2=a^2+b^2\\(b+7)^2=(b-7)^2+b^2\\b^2+14b +49=b^2-14b+49+b^2\\0=b^2-28b\\0=b*(b-28)[/tex]
Therefore there are two possible solutions to this equation: b = 0 or b = 28 ft.
So we take the one that is different from zero (since we are looking for the side of a triangle) That is: b = 28 ft
Then hypotenuse = 28 + 7 = 35 ft
and the shorter leg = 28 - 7 = 21 ft
f(x) = x^2 + 1 What is f(f(x))?
Answer:if f(x) = x^2-1 then f(f(x)) = f(x)^2 - 1 which is: (x^2 -1)^2 -1 by developping this we get: (x^4 -2x^2 +1) -1 simplifying: x^4 - 2x^2. 540
Step-by-step explanation:
Solve 8x + c = k for x. O A. X = B(k -C) O kto B. X = 8 O C. X = ķ-6 8 D. x = 8(K+c)
Answer: x = k-c/8
Step-by-step explanation:
APEX
A softball player hits a ball whose path is modeled by f(x) = -0.0005x2 + 0.2127x + 3,
where x is the distance from home plate (in feet) and y is the height of the ball above the
ground (in feet). What is the highest point this ball will reach? If the ball was hit to center
field which has an 8 foot fence located 410 feet from home plate, was this hit a home run?
Explain.
Answer:
highest point is 229.20645 ft
yes it's a home run because at 410 ft the ball is at 81.802 ft which is way over the 8 ft fence.
Step-by-step explanation:
The maximum height achieved by the ball is 25.62 ft and it cannot be a home run because height of fence h(f) > 6.16 ft (vertical distance of ball at x = 410 ft).
What is Parabola?A parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. A parabola can be represented with help of following equation -
y = a(x-h)² + k
Given in question is the equation representing path of the ball given by -
y = f(x) = - 0.0005x² + 0.2127x + 3.
Here, 'x' represents the distance from the home plate and 'y' is the height of the ball above the ground.
PART - 1 - Maximum height
Assume that -
a = - 0.0005
b = 0.2127
c = 3
So, we can write the given equation as -
y = ax² + bx + c
Now, differentiate it with respect to x, we get -
dy/dx = 2ax + b
For maximum height -
dy/dx = 0
2ax + b = 0
x = - b/2a
x = - 0.2127/ (2 x -0.0005) = 212.7 ft.
y[max] = - 0.0005 x (212.7)² + 0.2127 x 212.7 + 3.
y[max] = - 22.62 + 48.24 = 25.62 ft
PART - 2 - Vertical limits.
At horizontal distance of x = 410 feet, the vertical distance 'y' of the ball will be -
y [410] = - 0.0005 x (410)² + 0.2127 x 410 + 3.
y [410] = - 84.05 + 90.21
y [410] = 6.16
Height of the fence = 8 ft
Since, height of fence > 6.16 ft it cannot be home run.
Therefore, the maximum height achieved by the ball is 25.62 ft and it cannot be a home run because height of fence h(f) > 6.16 ft (vertical distance of ball at x = 410 ft).
To solve more questions on Projectile motion, visit the link below-
https://brainly.com/question/14449370
#SPJ2
[tex]14 + 18 \div 2 \times 18 - 72[/tex]
what is it and whats the work?
Answer:
104
Step-by-step explanation:
[tex]14 + 18 \div 2 \times 18 - 72 \\ \\ = 14 + 9 \times 18 - 72 \\ \\ = 14 + 162 - 72 \\ \\ = 176 - 72 \\ \\ = 104[/tex]
Hitung persamaan garis dan slope dari :
1. (-1,15) ; (3,6)
2. (3,7) ; ( 4,8)
Which graph shows a. Set of ordered pairs that represent a function
Answer:
B
Step-by-step explanation:
I need help on 14 and 15.
Answer:
14 one 15 6
Step-by-step explanation:
please help this is due
Answer:
it's either A or B so try B
Step-by-step explanation:
Answer:
The answer is 48 degrees
Step-by-step explanation:
If you look at both symbols, JKL and PQR they are supposed to be exactly the same. Another way is Taking J=52 and R=80 and add them together. Then you subtract them by 180 because thats the area of all triangles. Hope this helps! <3
a grocery store scale is accurate to within 0.4 pound. the scale indicates that a bag of apples weighs 3.7 pounds. Which of the following describes all possible weights of the bag of apples?
Answer:
3.3 lb ≤ Weight ≤ 4.1 lb
Step-by-step explanation:
The options are not given; however, the question can still be solved.
Given
Weight = 3.7 lb
Range = 0.4 lb
The possible weight is calculated by (1) & (2) below
1. Maximum
Maximum = 3.7 lb + 0.4 lb
Maximum = 4.1 lb
2. Minimum
Minimum = 3.7 lb - 0.4 lb
Minimum = 3.3 lb
Hence, the range the weight of the apple can be is
3.3 lb ≤ Weight ≤ 4.1 lb
Micah's gym is moving into a bigger space, where he can have more stationary bicycles and treadmills. Micah needs both stationary bicycles and treadmills in his gym.
Let x be the number of bicycles and y be the number of treadmills.
The number of new bicycles must be more than 13 times the number of new treadmills. Each bicycle costs $340 and each treadmill costs $670. He must spend less than $5,650.
Select all of the constraints for this situation.
Answer:
Options (2), (3), (5) and (6)
Step-by-step explanation:
Let the number of bicycles = x
and the number of treadmills = y
Since, number of new bicycles must be more than [tex]\frac{1}{3}[/tex] times of new treadmills,
Inequality representing the statement will be,
x > [tex]\frac{1}{3}[/tex]y
Each bicycle costs $340 and each treadmill costs $670.He must spend less than $5650,
Inequality will be,
340x + 670y < 5650
And the number of bicycles and treadmills should be greater than 0.
x > 0
y > 0
Therefore, constraints for this situation are,
Option (2)
Option (3)
Option (5)
Option (6)
Please I need help. Thnx
Answer:
this is 37
Step-by-step explanation:
because 9+9+2+2+11+4=37
Answer: 2x11=22 and 2x7=14 add them together 22+14=36 and 36 is your answer.
Step-by-step explanation:
A beaker of boiling water stops boiling and eventually reaches room temperature. There’s no lid on the beaker. The beaker and its contents must have:
Answer:
lost thermal energy and mass to the surroundings
HELP FAST ITS EASY BUT IDK HOW ITS WRONG ITS ONLY true or false
Answer:
on p or q put
Step-by-step explanation:
1) p and q true
2) q false
3) p false
4) p and q false
Frederick and Kate have 17 1/3 cups of flour. They want to make loaves of banana bread for bake sale. Frederick has a recipe that calls for 1 5/8 cups of flour. Kate has a recipe that calls for 1 3/4 cups of flour. Which of the following statements true? Will Fredericks recipe make 10 loaves?
Answer:
The statement: Will Fredericks recipe make 10 loaves? Is:
True.Step-by-step explanation:
First, you must add the cups of total flour to have a decimal or fractional value.
Total cups of flour: [tex]17+\frac{1}{3}=\frac{52}{3}[/tex]And the cups of flour in Frederick's recipe.
Cups of flour in Frederick's recipe: [tex]1+\frac{5}{8}= \frac{13}{8}[/tex]In the end, you must divide the total flour in the flour of Frederick's recipe to obtain the number of loaves.
Loaves with Frederick's recipe: [tex]\frac{52}{3} /\frac{13}{8}= \frac{32}{3}[/tex] or [tex]10.666667[/tex]How you can see, with Frederick's recipe, he can make 10 completed loaves, and there is a little flour left over.
