Answer:
The speed of the boat in calm water is 12.8 miles per hour.
Step-by-step explanation:
While going downstream the speed of the boat is "x + 2", where x is the speed in calm water, while going upstream the speed of the boat is "x - 2". He made a trip that had two legs, each with a distance of 50 miles, therefore, the sum of the times it took him to complete each leg must be equal to the total time of the trip.
[tex]speed = \frac{distance}{time}\\\\time = \frac{distance}{speed}[/tex]
For the upstream:
[tex]time_{up} = \frac{50}{x - 2}[/tex]
For the downstream:
[tex]time_{d} = \frac{50}{x + 2}[/tex]
The sum of each of these times must be equal to "8 h", therefore:
[tex]8 = time_{up} + time_{d}\\\\8 = \frac{50}{x - 2} + \frac{50}{x + 2}\\\\8 = \frac{50*(x+2) + 50*(x - 2)}{(x-2)*(x+2)}\\\\8*(x-2)*(x+2) = 50*x + 100 + 50*x - 100\\\\8*(x^2 - 4) = 100*x\\\\8*x^2 - 100*x - 32 = 0\\\\x^2 - 12.5*x - 4 = 0\\\\x_{1,2} = \frac{-(-12.5) \pm \sqrt{(-12.5)^2 - 4*(1)*(-4)}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{156.25 + 16}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{172.25}}{2}\\\\x_{1,2} = \frac{12.5 \pm 13.124}{2}\\\\x_1 = 12.812\\\\x_2 = -0.312[/tex]
Since the speed can't be negative in this context, the only possible answer is 12.812 mph.
Answer:
12.8
Step-by-step explanation:
The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760
Answer:
750
Step-by-step explanation:
Applying for credit from any place pulls your credit report. When your credit report is pulled, your score decreases some.
However, this will not have a large effect on your score, so 750 would most likely be the new score.
Getting a store credit card affects the credit score a little bit, so the answer would likely be D.
please mark brainliest :)
Help please fast please
Answer:
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Step-by-step explanation:
89835000000*10^-7 = 8983.5
8.9835*10^5= 898350
8983.5 < 898350
Answer:
<
Step-by-step explanation:
Simplify each of the numbers
89835000000 x 10^-7 = 8983.5
8.9835 x 10^5 = 89835
89835000000 x 10^-7 < 8.9835 x 10^5
What is the product of -2.49 and 2.24?
Answer:
-5.5776
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
Answer:
Hey!
Your answer is -5.5776!
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
That is your solution!
HOPE THIS HELPS!!
please help me with 4 more questions ill give brainliest plesase!!
Answer:
(- 1, - 1 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is
(- 3, - 3 ) → ([tex]\frac{1}{3}[/tex] × - 3, [tex]\frac{1}{3}[/tex] × - 3 ) → (- 1, - 1 )
Can you people help me please
The right answer is -2.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
subtract the difference of p and a from 3
Answer:
see below
Step-by-step explanation:
Translating this into math we get 3 - (p - a).
How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2
Answer:
2 half cubes
Step-by-step explanation:
this has only half the width, you just need 1 more to make a whole, therefore 2
If the graph of the polynomial intersects the x-axis at two points, then the
polynomial has how many
zeros.
Answer:
Two zeroes
Step-by-step explanation:
A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.
The values of a and b are 2 and 11 respectively.By completing the square method;
a = (4/2) = 2.
Therefore, by expanding (x+a)² i.e (x+2)²
We therefore have; x² + 4x + 4
However, the question is given as x²+4x-7
Therefore, by comparison between;
x² + 4x + 4 and x²+4x-7; we have;
4 - b = -7, b = 7+4
Ultimately, b = 11
Read more:
https://brainly.com/question/13981588
what are the factors of -24x^3y^2z
a) 8
b) -8
c) x^5
d) z^2
Answer:
B
Step-by-step explanation:
Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years
This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year.
Which of the decimals in the problem should be represented as a negative rate?
Which two factors should Ericka multiply to find the total variation in water level?
Answer:
Which of the decimals in the problem should be represented as a negative rate?
2.2 mm/year
Which two factors should Ericka multiply to find the total variation in water level?
6.2 years and –2.2 mm/year
Step-by-step explanation:
2.2 is represented as a negative integer because the problem said the key word "fell."
You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.
Answer:
2.2 mm/year 6.2 years and -2.2 mm/year
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
Which table represents a function?
The one on the far left
Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)
Answer:
D (1,3)
Step-by-step explanation:
(x,y) → (-x, -y)
Mapping rule for 180-degree
1. Multiply the x-coordinate by -1
2. Multiply the y-coordinate by -1
3. Simplify
Does (3, 3) make the equation y = x true?
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
Complete the equation of the line through (-8,-2)and (-4,6)
use exact number
y=................
Answer: y=2x+14
Step:
substitute into y=mx+b
m= slope
b = y-int.
Figure 3:
1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total
1. 9
2. 12
3. 18
Answer:
9
Step-by-step explanation:
Can someone plzz help me on thiss!
Answer:
A
Step-by-step explanation:
because it goes up constantly by 12
In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D are parallel. Lines B E and A D intersect at point C. Which statement about the sides is true?
Answer:
(D) Side B A corresponds to Side E D.
Step-by-step explanation:
Took on Edge and got it correct
A typical dove weighs 345g. A typical duck weighs 1.2kg. What is the difference, in grams, of the weights of a duck and a dove?
Answer:
855 grams
Step-by-step explanation:
First convert the 1.2kg into grams.
1.2kg=1200 grams.
Now we have equal units of measurement. We then subtract: 1200g-345g=855g
which statement best describes the function below? \f(x)=2x^2-3x+1
Answer:
what are the two answers?
You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$
Answer:
The amount of interest to be paid is $105
Step-by-step explanation:
To find how much interest that will be paid, we will follow the steps below;
Simple Interest = PRT / 100
where p is the principal, R is the rate and T is the time in years
from the question given
principal P = $1000
Rate R = 3.5
and time T = 3
substitute the values into the formula above
Interest = $1000×3.5×3 / 100
=$10×3.5×3
=$105
Interest = $105
The amount of interest to be paid is $105
Answer: no sense
Step-by-step explanation:
What is the solution to the system of equations?
2x - y = 7
y = 2x + 3
• (2, 3)
• (2.7)
• no solution
• infinite number of solutions
Answer:
no solution
Step-by-step explanation:
2x-y=7. value of y=2x+3
(insert the value of y in the first equation)
2x-(2x+3)=7
2x-2x=7-3
(2x-2x is non-existent thus the equation ends there)
Answer:
No Solution is the answer
Step-by-step explanation:
There is no way to solve this
The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?
Answer:
7 and 21
Step-by-step explanation:
the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern
Someone help me ASAP please
Answer:
Step-by-step explanation:
use a^2+b^2=c^2.
5^2+7^2=c^2
25+49=c^2
sqrt74= 8.6 so side c is about 8 units
Answer:
C. about 8 units
Step-by-step explanation:
correct answer is c
Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?
Please help me, thank you very much!! <3
Answer:
5 dimes 2 nickels 10 quarters
Step-by-step explanation:
Let n = number of nickels
d = number of dimes
q = number of quarters
n = d - 3 (The number of nickles was 3 less than the number of dimes)
d= q - 5 (The number of dimes was 5 more than the number of quarters)
0.05n + 0.1d + 0.25q = 3.1
Use substitution:
n=q-8
0.05n + 0.1d + 0.25q = 3.1
0.05(q-8) + 0.1(q-5) + 0.25q = 3.1
0.05q-.4 + 0.1q -.5 +0.25q = 3.1
0.4q-0.9=3.1
0.4q=4
q = 10
n =q-8 n = 10-8 n=2
d=q - 5 d = 10-5 d = 5
Which statement describes how to determine if a relation given in a table is a function?
A. If none of the output values are repeated, the relation is a function.
B. If none of the input values are repeated, the relation is a function.
C. If any of the input values are equal to the output values, the relation is a function.
D. If all the output values are paired with the same input value, the relation is a function.
Answer: B
Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.
Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.
However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.
Answer:
B. If none of the input values are repeated, the relation is a function.
Step-by-step explanation:
Just took test on edge 2020
A distribution in which the mean, mode, and median are nearly equal is called a ___________
distribution
a. bimodal
b. flat
c.normal
d. skewed
Answer:
C) Normal distribution
Step-by-step explanation:
We are supposed to find A distribution in which the mean, mode, and median are nearly equal
A) bimodal
Bimodal distribution is a statistical pattern in which the frequencies of values in a sample have two distinct peaks, even though parts of the distribution may overlap.
B) Flat
A flat distribution can be said either to have no tails, or to have short tails.
C) Normal
A distribution in which the mean, mode, and median are nearly equal is called a normal distribution
D)Skewed
A left-skewed, negative distribution will have the mean to the left of the median.
A right-skewed distribution will have the mean to the right of the median.
Hence Option C is true
Answer:
its c on usatestprep
2 - (7/8 - 3/4) /'s are fractions
Answer:
[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]
Answer:
Brainliest here!
Step-by-step explanation:
2- (7/8 -6/8) = 2-1/8
simplify = 1 7/8 or 15/8
Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
alternet interior angles i think?
Step-by-step explanation:
Angles between transversal of parallel lines are related by several angle theorems.
The theorem that supports r || s and transversal q is (b) alternate interior angles theorem
From the image of lines q, r and s (see attachment), we have the following highlights.
Angles 3 and 6; angles 4 and 5, are alternate interior angles, and they are congruent
The above means that:
Angles 2 and 7; angles 1 and 8, are also congruent
Hence, r || s and q is a transversal, because of the alternate interior angle theorem.
Read more about parallel lines and transversal at:
https://brainly.com/question/16967505