A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.
Answers
Answer:
D
Step-by-step explanation:
I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:
D and C
Step-by-step explanation:
We are doing the elimination method. We are subtracting so we can eliminate the x variable
x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3
Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.
x - 3 = 2.
Add 3 on both sides and you get
x = 5
Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!
Related Questions
What is a variable in the expression below?
12+2.6z-2
A) z
B) 2.6
C) -2
Answers
A variable is a letter in the equation that can be replaced by a number.
In the equation shown the variable is the letter z.
Answer: A) z
Solve the following of:
11/15 × 7/8 ÷ 3/4
Answers
Answer:
Well following the order of operations
You just do this from left to right
11/15* 7/8 = 77/120
77/120 ÷ 3/4
or
77/120 * 4/3
77/90 (simplified)
77/90 is the answer
Calculate the volume of the pyramid. Round your answer to the nearest hundredth 10in 7in
Answers
Answer:
Place the numbers in their places. b=base h=height.
Step-by-step explanation:
a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian contains 15% vinegar. The chef wants to make 390 mL of a dressing that is 8% vinegar. How much of each brand should she use?
Answers
Answer:
273 mL of 5%117 mL of 15%Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
__
Additional comment
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
8 glasses every 24 hours
Answers
Answer:
f(x)= 8x
Step-by-step explanation:
x represents the number of days. 8 represents the number of glasses per day.
-7+0.3(-4x+20)+8.8x
Help me plz
This is 8th grade math btw
Answers
Answer:
7.6x−1
Step-by-step explanation:
Expand by distributing terms
−7−1.2x+6+8.8x
Collect like terms.
(−7+6)+(−1.2x+8.8x)
Simplify
−1+7.6x
Regroup terms.
7.6x−1
Simplify the expression ((1/2)^3)^3
Helppp
Answers
а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?
(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked?
Answers
Answer:
(b)(i) LCM of 45 and 50 = 450
Hence, it take 450 minutes until both ovens ding simultaneously.
(b)(ii) 450÷50=9 banana cakes baked
450÷45=10 chocolate cakes baked.
Find a polynomial F of X of degree four that has the following zeros. 7, -3, 0, 4 leave your answer in Factored form
Answers
Answer:
f(x) = (x - 7)(x + 3)(x)(x - 4)
Step-by-step explanation:
It's just like the roots of a quadratic but with more factors
f(x) = (x - 7)(x + 3)(x)(x - 4)
The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width
Answers
Answer:
width is 4 inches
length is 6 inches
Step-by-step explanation:
the length is 6 inches less than three times the width
l = 3w - 6
a = l * w
a = (3w - 6)w
a = 3w^2 - 6w
area of the rectangle is 24 square inches
3w^2 - 6w = 24
subtract 24 from both sides
3w^2 - 6w - 24 = 0
Divide both sides by 3
w^2 - 2w - 8 = 0
Factor
(w - 4)(w + 2) = 0
w = {-2, 4}
disregard the negative root since measurement must be positive
w = 4
l = 3w - 6
l = 3(4) - 6
l = 6
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $
Answers
BBCdfinancial
Answer:
antiquarian
Step-by-step explanation:
Spanish civic
There are 13 pieces of chicken at the dinner table. After dinner, only 3 pieces are left. How many pieces were eaten at dinner?
16
8
7
10
Answers
Answer:
10
Step-by-step explanation:
13 pieses - 3 pieces = 10 pieces that are eaten
Answer:
10
Step-by-step explanation:
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is 400 meters. What dimensions for the rectangular region maximize the area of the rectangular region?
Answers
Answer:
width of rectangle = 2R = (200/π) = 400/π meters
length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters
Step-by-step explanation:
The distance around the track (400 m) has two parts: one is the circumference of the circle and the other is twice the length of the rectangle.
Let L represent the length of the rectangle, and R the radius of one of the circular ends. Then the length of the track (the distance around it) is:
Total = circumference of the circle + twice the length of the rectangle, or
= 2πR + 2L = 400 (meters)
This equation is a 'constraint.' It simplifies to πR + L = 400. This equation can be solved for R if we wish to find L first, or for L if we wish to find R first. Solving for L, we get L = 400 - πR.
We wish to maximize the area of the rectangular region. That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL. We are to maximize this area by finding the correct R and L values.
We have already solved the constraint equation for L: L = 400 - πR. We can substitute this 400 - πR for L in
the area formula given above: A = L·2R = 2RL = 2R)(400 - πR). This product has the form of a quadratic: A = 800R - 2πR². Because the coefficient of R² is negative, the graph of this parabola opens down. We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:
-b ± √(b² - 4ac)
Using the quadratic formula, we get R = ------------------------
2a
-800 ± √(6400 - 4(0)) -1600
or, in this particular case, R = ------------------------------------- = ---------------
2(-2π)
-800
or R = ----------- = 200/π
-4π
and so L = 400 - πR (see work done above)
These are the dimensions that result in max area of the rectangle:
width of rectangle = 2R = (200/π) = 400/π meters
length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters
True or false, the two triangles are congruent by ASA
O true
false
Answers
Answer:the answer is true
Step-by-step explanation:
Because the two triangle are congruent ASA
(?)(3x — 2)= 24x^2 — 16x
Answers
[tex]\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix} (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x[/tex]
HELP LAST ATTEMPT!!!!
Answers
Answer:
(6,-2)
Step-by-step explanation:
Plzzzzz help
Among the following rational numbers,
which has the greatest value?
A. 0.34
B. 0.34
C. 0.34
D. 0.343
E. 0.3409
Answers
Answer:
D. 0.343
Step-by-step explanation:
You can see the first three options as 0.340 so if you substract this number with 0.343 the remainder is positive 3.
This strategy also can be applied to the number 0.3409 but in this occasion the result is different:
[tex]0.343 - 0.3409 = 2.1\times 10^{-3}[/tex]
That is small number but still is positive that's meaning that between 0.343 and 0.3409 the greatest value is 0.343 .
There are 1,000 students in Sharon's high school. 65% of the students are taking Spanish. How many students are taking Spanish?
Answers
Answer:
650 students are spanish.
Step-by-step explanation:
just say 1,000 people = 100%
then 650 students would = 65%
Hope I helped
= therefore 650 students are doing Spanish.
please help.......,................
Answers
Answer:
8×1=8+64=72
Step-by-step explanation:
there is your answer are you happy now
Please help! Cant figure this one out!
Answers
Answer:
20.5
Step-by-step explanation:
Given that shapes are similar:
45 = 2x + 4 subtract 4 from both sides
41 = 2x divide both sides by 2
20.5 = x
Find the area of the triangle
Answers
= (1/2 × 6 × 4) square units
= (3 × 4) square units
= 12 square units
Answer:The area of the triangle is 12 square units.
Hope it helps.
Do comment if you have any query.
=================================================
Explanation/Solution:First, Identify what is the height and base of the triangle.
[tex] \rightarrow [/tex] Height = 4 units
[tex] \rightarrow [/tex] Base = 6 units
[tex] \\ [/tex]
Now to find the area of the triangle, use the formula:
[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]
Solve.
[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]
[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]
[tex] \rightarrow [/tex] = 12
Therefore, the area of the triangle is 12 units.
=================================================
#CarryOnLearning
Determine the intercepts of the line.
Do not round your answers.
y +5 = 2(x + 1)
y-intercept:
r-intercept:
Answers
Answer:
x intercept: (3/2, 0), y intercept: (0, -3)
Step-by-step explanation:
Nina and Jo both ran a 9 km race.
Nina took 1 hour 15 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 6 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answers
9514 1404 393
Answer:
7.83 km/h
Step-by-step explanation:
At her constant pace, Nina's time for 6 km will be found by the proportion ...
(time for 6 km)/(6 km) = (time for 9 km)/(9 km)
time for 6 km = (6 km)/(9 km) × (75 min) = 50 min
Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...
speed = distance/time
= (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed
_____
Additional comment
From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.
Select the best appropriate choice below.
Decide whether you have enough information to determine that the triangles are congruent.
If they are congruent, explain why by selecting the appropriate reason.
. .
•ASA Triangle Congruence Theorem
•SAS Triangle Congruence Theorem
•SSS Triangle Congruence Theorem
•AAS Triangle Congruence Theorem
•HL Triangle Congruence Theorem
•Not Enough Information To Determine Triangles Congruent
PLEASE HELP ;-;
Answers
The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date
y = 5x + 120
what does the number 5 in the equation mean in this context?
A: There were 5 customers per night when the restaurant opened
B: The average number of costumers per night increased by 5 each month
C: The average number of customers per night decreased by 5 each month
D: The restaurant has been open for 5 months
Answers
5 is also the slope
Circumference and area of a circular piece of glass
Answers
Answer:
Area = πr²
Circumference = 2πr
You can use pie as both 22/7 Or 3.14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Evaluate the expression( 3x2)2
Answers
Answer:
12
Step-by-step explanation:
-4√-32
answer it please ok thanks
Answers
Answer:
Step-by-step explanation:
4 √(-32) =
22.627417
Which of the following angles is corresponding with 25?
02
07
08
04
Answers
Answer:
∠7 . However ∠7 and ∠8 are vertical angles which are equal,
Step-by-step explanation:
Angle ∠7, but because ∠7 and ∠8 are vertical angles and they are equal also.
∠5 corresponds to ∠7
m ∠7 = m ∠8 vertical angles are =
I will say ∠7 and ∠8.
A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?
Answers
Answer:
$2600
Step-by-step explanation:
Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600
