A motorboat travels 189 kilometers in hours going upstream and 693 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water: km/h
Rate of the current: km/h
Answer:
rate of the boat in still water: 81 km/h
rate of the current: 18 km/h
Step-by-step explanation:
Rate of the boat in still water:81 km/h
Rate of the current: 18km/h
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.
Given
b= speed of boat in still water c=speed of current
"boat travels 693 kilometers in 7 hours going downstream" Going downstream, the boat travels b+c km per hour. b+c km/hr = 693 km/7hr = 99 km/hr
b+c=99
"boat travels 189 kilometers in 3 hours going upstream" Going upstream, the boat travels b-c km per hour. b-c km/hr = 189 km/3hr = 63 km/hrb-c=63
Add the equations together to eliminate the c terms: b+c=99 b-c=63 2b = 162, therefore, b= 81
b+c= 99, so c = 99 - b= 18
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4. The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the
length of each leg.
Answer:
[tex]Opposite = Adjacent= 5[/tex]
Step-by-step explanation:
Given
[tex]Hypotenuse^2 = 50[/tex]
[tex]Opposite = Adjacent[/tex]
Required
Find the length of each leg
This is calculated using Pythagoras Theorem
[tex]Opposite^2 + Adjacent^2 = Hypotenuse^2[/tex]
[tex]Opposite^2 + Adjacent^2 = 50[/tex]
Represent the opposite and adjacent with x
[tex]x^2 + x^2= 50[/tex]
[tex]2x^2 = 50[/tex]
Divide both sides by 2
[tex]x^2 = 25[/tex]
Take square roots
[tex]x = 5[/tex]
Hence:
[tex]Opposite = Adjacent= 5[/tex]
solve for X: x + 2 (1.5x - 6) = 16 (IF YOU CAN PLEASE TELL ME HOW TO SOLVE QUESTIONS LIKE THIS)
Answer:
x=7
Step-by-step explanation:
You multiply the 2 with what is inside of the parenthesis so 3x-12
x+3x-12=16
then you add x +3x =4x
4x-12=16
then you add 12 to both sides
4x=28
then you divide by 4 on both sides
x=7
Happy valentines dayyyy math suckss help pleaseeeeeee
question 1: Multiply and simplify.
x^2⋅x⋅x^5
(I got x^8 but I was unsure.)
question 2: Multiply and simplify.
(3x+7)8x^2
Answer:
question 1 = x7 and question 2 = 24x^3+56x^2 I'm pretty sure
There are a total of 33 patients discharged, 16 are male, what is the percentage of discharged that are male? There are 15 females discharged of 33 discharged patients what is the percentage of females?
Answer:
48.48%
Step-by-step explanation:
divide and make a percentage
Twenty-one students took a mathematics test. The 11th highest score on the test was a 76. Which of the
following statements must be true?
A.The mean of the scores was 76
B.The range of the test scores was 11
C.The median of the test scores was 76
D.The mode of the test scores was larger than 76
Answer:
C. The median of the test scores was 76
Step-by-step explanation:
The median is the middle value. In 21 values, the 11th value is the middle value, so it must be the median.
Answer: C. The median of the test scores was 76
give the person above me Brainliest
they deserve it :D
I think that they would be greatful lol
Two important ingredients for baking bread are yeast and flour. To make a loaf of
bread of at most 40 servings, maintain a yeast to flour ratio of 1:200. If you're making
a loaf of more than 40 servings, use a ratio of 1:180.
If you're making 40 servings of bread and using 0.35 oz of yeast, how many ounces of
flour do you need?
If you're making 90 servings of bread and using 360 oz of flour, how many ounces of
yeast do you need?
Using proportions, it is found that:
70 ounces of flour are needed for 40 servings of bread and using 0.35 oz of yeast.180 ounces of yeast are needed for the 90 servings of bread using 360 oz of flour.What is a proportion?A proportion is a fraction of total amount, and the measures are related using a rule of three.
For 40 servings:
1 oz of yeast is equivalent to 200 oz of flour. How many oz of flour are needed for 0.35 oz of yeast?The rule of three is:
1 oz yeast - 200 oz flour
0.35 oz yeast - x oz flour.
Applying cross multiplication:
[tex]x = 200(0.35) = 70[/tex]
70 ounces of flour are needed for 40 servings of bread and using 0.35 oz of yeast.
For 90 servings:
1 oz of yeast is equivalent to 180 oz of flour. How many oz of yeast are needed for 360 oz of flour?The rule of three is:
1 oz yeast - 180 oz flour
x oz yeast - 360 oz flour.
Applying cross multiplication:
[tex]2x = 360[/tex]
[tex]x = \frac{360}{2}[/tex]
[tex]x = 180[/tex]
180 ounces of yeast are needed for the 90 servings of bread using 360 oz of flour.
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Solve : -6n + 5 < 11
Which graph shows the solutions?
-6n + 5 < 11
- 5 - 5 subtract 5 on both sides.
_________
[tex]\frac{-6n}{-6}[/tex] < [tex]\frac{6}{-6}[/tex] divide -6 on both sides, -6 will cancel out on the left side.
[tex]n[/tex] > [tex]-1[/tex]
I believe the answer would be the first choice.
Answer:
The first choice
Step-by-step explanation:
ez
I’m confused, any help?
Answer:
D
Step-by-step explanation:
Trust me its D because to equal f(x)--->Inf., you need to have x equal a negative
Write an equation in slope intercept form given:
Slope = 1/2
y-intercept= -8
Answer:
y= 1/2x - 8
Step-by-step explanation:
2x-3(2x-3)+2=45 pls solve fully
Answer:x=-17/2
Step-by-step explanation:
Answer:
[tex]x=\frac{-4}{33}[/tex]
Step-by-step explanation:
Let's start with simplifying the equation. To do this, let's simplify the parenthesis. We can use the distributive property to simplify the parenthesis. We now have
[tex]2x-6x+9+3=45[/tex]
Next, we can start adding. We can add 2x and 6x, and 9 and 3.
[tex]-4x+12=45[/tex]
Now that we've simplified the equation, we can start solving the equation. First, let's subtract 12 from each side.
[tex]-4x=33[/tex]
The last thing that we need to do is divide -4 from each side.
[tex]x=\frac{-4}{33}[/tex]
Ben just walked into Best Buy and saw the TV of his
dreams! It's a 60 inch 4K Smart TV that is on sale for
$550. What a bargain! How much will Ben have to pay in
tax (MA sales tax is 6.25%)?
Be sure to LABEL your answer!
(Note: with sales tax problems, you may need to round
your answer to the nearest penny.)
Answer:
$6.30
Step-by-step explanation:
Given the expression 2(3x + 1), what would be the resulting equivalent expression after the distributive property is applied?
Answer:
6x + 2
Step-by-step explanation:
2(3x + 1)
Multiply 2 with 3x and 1.
6x + 2
Answer:
6x + 2
Step-by-step explanation:
2 x 3= 6
2 x 1= 2
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains pure antifreeze. The company wants to obtain gallons of a mixture that contains pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
x = 160 gal
y = 80 gal
160 gallons of water and 80 gallons of premium antifreeze solution must be mixed.
25. What is the value of the expression below? 36 ÷ 5 2 8 + 7 × (3 + 11)
Answer:
The answer is
Step-by-step explanation:
number 5 is the one i need help with
Answer:
b. 2 outliers, few books
Step-by-step explanation:
Answer:
There are two outliers, indicating very few books were checked out on that day.Step-by-step explanation:
If you look at the data set there is a 9 and a 4! Most of the numbers are in the 90s so they're outliers!
I hope this helps!
Good Luck With Your Work!
- NoahChu~ ✨
Eli has 3 cups of m&m's. He wants to separate them into 1/4 cups bags to share with his friends how many friends can Eli give a 1/4 bag of m&m's to?
Answer:
the answer would be 12 friends
Step-by-step explanation:
you would take the 3 and multiply it by the denominator which is the 4. so 3 × 4 = 12
Find the shaded area of the figure. Please help I am giving brainliest
Answer:
do u mean the degree? if u do then it would be 60
Step-by-step explanation:
Answer: 25pi/3 square units
=============================================================
Explanation:
If that point is the center, then we have two pizza slices that sweep out 60 degrees of a central angle.
The full circle has pi*r^2 = pi*5^2 = 25pi square units of area
We only want 60/360 = 1/6 of that for each slice, so 2*(1/6) = 1/3 of the full circle area is shown by the shaded region
(1/3)*(full circle area) = (1/3)*25pi = 25pi/3 square units is the shaded area
I need some help and can you please show your work? Thank you have a good day
Answer:
Step-by-step explanation:(4+7)-(1)
Question 2 (2 points)
(07.06)
Given the parent function f(x) = 2x, which graph shows f(x) + 1? (2 points)
a
exponential function going through point 0 2 and ending up on the right
b
exponential function going through point 0 0 and ending down on the right
c
exponential function going through point 0 0 and ending up on the right
d
exponential function going through point 0 1.5 and ending up on the right
Answer:
c
Step-by-step explanation:
Of the eggs produced by salmon,80% hatch, and of those, 25% survive to migrate to the ocean. How many eggs are needed to produce 100 salmon that migrate to the ocean?
Answer:
500 eggs are needed
Step-by-step explanation:
so 1/4 or the 80 percent make it to the ocean so 20 percent of total salmon make it to the ocean.
so total number of eggs x
1/5x=100
x=500
if my answer helps please mark as brainliest.
Answer:
Step-by-step explanation:
25% of (80% of eggs) = 0.25 × 0.80 × eggs = 100
Eggs = 100/(0.25 × 0.80) = 500
500 eggs are needed to produce 100 salmon.
Brainly so you better do it right
Answer:
Step-by-step explanation:
Identifying Proportional Relationships
Which graph represents a proportional relationship?
Answer:
There aren't any graphs that you attached so i can't see which one is a proportional graph, but the one that is going up by a constant proportional rate of change would be the proportional graph.
Proportional relationship graphs always start at the point 0 for x and y. The line always crosses through to origin. 0
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Answer:
THERE are no graphs
Step-by-step explanation:
One side of triangle is 7 more than 2 times the shortest side. the third side is 14 feet more than the shortest side. the perimeter is 65. Find all 3 sides.
Answer:
2
Step-by-step explanation:
hg
Select the correct answer from each drop-down menu. A restaurant is analyzing its customer satisfaction level. The manager performs an observational study of customers during the lunch hour on a Monday and draws the conclusion that most of the customers are satisfied with the service they receive. because the sample is v. In this instance, an study was The conclusion drawn from the study is conducted.
Answer:
Not valid
Biased
inappropriate
Step-by-step explanation:
No actual study was done, only observation.
Answer:
not valid biased innapropriate
Step-by-step explanation:
plato users
what is 5/9 + 1/3? (please show your work)
Answer:
8/9
Step-by-step explanation:
First: Turn the 1/3 in 3/9 (You have to find the common denonminator or bottom number in a fraction)
Second: add (3/9 + 5/9= 8/9)
Answer: 8/9
(Brainliest??)
The value of the fractional expression 5/9 - 1/3 will be 17 / 3.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
5/9 and 1/3
Then the difference between the numbers 5/9 and 1/3 will be given by putting a minus sign between them. Then we have
⇒ 5/9 - 1/3
⇒ (5 - 3) / 9
⇒ 2 / 9
The value of the fractional expression 5/9 - 1/3 will be 17 / 3.
More about the Algebra link is given below.
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On a single roll of a pair of dice, what are the odds against rolling a sum of 7? Please help ASAP!!! :(
I need this answer as soon as possible
Answer:
1) 1 2) 1/729 3) 1/27 4) -1/729
Step-by-step explanation:
plug them into calculator
.
What is cot(A)?
0 37
7
3,2
7
O 37
O 32
7
0 31
Answer:
may I see a photo?
Step-by-step explanation:
Answer:
its A -3 (squareroot of 7)/7
Step-by-step explanation: