Answer:
- 14x - 9y = 6
Step-by-step explanation:
- 7x - y = 0 → (1)
7x + 8y = - 6 → (2)
Subtracting (2) from (1) term by term
- 7x - 7x - y - 8y = 0 - (- 6)
- 14x - 9y = 0 + 6
- 14x - 9y = 6
is y = 7/8x proportional or non-proportional??
Answer:
It is proportional
Step-by-step explanation:
May have brainllest I only need 39 more to get to genius
A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in still water and that of the stream.
9514 1404 393
Answer:
boat speed: (7t -95)/(6t² -110t +500)
stream speed: (37t -345)/(6t² -110t +500)
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...
25/(b-s) +44/(b+s) = t
15/(b-s) +22/(b+s) = 5
This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.
Subtracting the first equation from 2 times the second gives ...
2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)
5/(b-s) = 10 -t
5/(10 -t) = b -s
Substituting for b-s in the second equation gives ...
15/(5/(10-t)) +22/(b+s) = 5
30 -3t +22/(b+s) = 5
22/(b+s) = 3t -25
22/(3t -25) = b+s
Adding the equations for the sum and difference of speeds, we get ...
(b-s) +(b+s) = 5/(10-t) +22/(3t -25)
2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))
b = (7t -95)/(6t² -110t +500)
Subtracting the equations for sum and difference of speeds, we get ...
(b+s) -(b-s) = 22/(3t -25) -5/(10 -t)
2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))
s = (37t -345)/(6t² -110t +500)
__
The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.
The speed of the stream is (37t -345)/(6t² -110t +500) km/h.
__
Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.
answer this question! i am having some trouble in khan..
Anyone know how to answer this question
Answer:
x²+y²=225
Step-by-step explanation:
when centered at the origin the equation of a circle is x²+y²=r²
we are given x and y so 9²+12²=r²
[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]
what is the length of LK?
Answer:
26 i think
Step-by-step explanation:
Construct the following shapes:
A concave hexagon with one angle of 45⁰ and one side length of 4 cm.
A trapezoid ABCD where AB = 8cm, and CD = 4 cm. What is the measure of each internal angle (use your protractor to measure)?
[To be solved on grid paper]
Please help, i dont understand this
Answer:
lgma
Step-by-step explanation:
7. Jerry has 23 coins in nickels, n, and dimes, d. He
has $1.95 altogether. How many nickels does Jerry
have?
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
It takes 76 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre?
Answer:
6 pounds and 9 ounces
or 7 pounds when rounded
you want to insert a fill color into a worksheet. what is the first step . Plzz help I’m literally stuck
1/2x-5=10-3/4x please helpppppp
Answer:
x=12
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x ---> move like terms to the same side
1/2x + 3/4x = 10 + 5 ---> calculate
5/4x = 15 ---> multiply both sides by 4/5
x = 12
Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.
Answer:
Step-by-step explanation:
The following statements are true:
1. A quadratic function can have up to two x-intercepts.
2. An x-intercept of a quadratic function is also called a zero of the function
Sin(x)=sqrt3/2 solutions of
Answer:
pi/3+2pin, 2pi/3+2pi(n)
Answer:
the next one is c - pi/2
Step-by-step explanation:
Not sure how to do this one. Could use some help!
Answer:
0<x<3 and 8<x<9
Step-by-step explanation:
Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).
given g(x)=2(x-4)+7 find 2g(-6)
Answer:
g(x)=2(x-4)+7
2g(-6)=2[2(-6-4)+7]
=2[2(-10)+7]
=2(-20+7)
=2(-13)
=-26
Which polygons are similar?
1
2
3
4
Triangle 1 and 4 are similar using AAA
number one and four.......
I need help with some scientific notation problems
Answer:
1) 4.5 x 10^3 =4,500
2)5.78 x 10^-2
3) 5.7 x 10^1 = 57
4) 6.256 x 10^-3 = 0.006256
5) 7.3 x 10^2 = 730
6) 4.2 x 10^-5 = 0.000042
7) 7x10^-3 = 0.007
8) 2.563 x 10^1
9) 3.0025 x 10^2 = 300.25
10) 1.456 x 10^-1
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
I don’t get this problem at all-
Answer:
2nd option
Step-by-step explanation:
If AB is a tangent to the circle then ∠ B is right angle
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right
longest side = 52 and 52² = 2704
48² + (10 + 10)² = 48² + 20² = 2304 + 400 = 2704
Then AB is a tangent to the circle since ∠ B is a right angle
Please help!: Mrs. Carter baked a cake that was in the shape of a rectangular prism. The cake was 24 inches long, 15 inches wide and 3 inches high. She spread frosting on all four sides and the top. How many square inches of frosting did she use?
rectangle base: 24 x 15 = 360
triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches
total: 360 + 90 = 450 inches :)
HELPPPPPPP!!!!!!!!!!!!!!
Answer:
the top and bottom ones
Step-by-step explanation:
find the probability that the pitcher will throw exactly 4 pitches
Answer:
[tex]\frac{3}{20}[/tex] = 0.15
Step-by-step explanation:
15 + 20 + 40 + 15 + 10 = 100
[tex]\frac{15}{100} = \frac{3}{20}[/tex] = 0.15
Find the area of the semicircle
Answer:
3.92yd
Step-by-step explanation:
pi r²÷2
pi 2.5²÷2=3.92
In which step did John first make a mistake?
look at photos
Answer:
John did not make a mistake
Step-by-step explanation:
he did everything correct
The Riddle Family has a total monthly budget of $3,400. If the utilities represent 15% of the budget, then how much money is the Riddle Family spending on
utilities each month?
Answer: $510
Step-by-step explanation:
Total monthly budget = $3,400.
Percentage of total budget spent on utilities = 15%
The amount that the Riddle Family spending on utilities each month will then be:
= 15% × $3400
= 15/100 × $3400
= 0.15 × $3400
= $510
Answer:
0.15 * 3400 = $________ utilities cost per month
Multiply the monthly cost by 12.
can someone help with just question 3 and 4 i will give brainliest
PLEASE HELP. no links.
Answer:
45 i think
Step-by-step explanation:
Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.
Answer:
Im not sure
Step-by-step explanation:
GOOD LOOK ON YOUR TEST HE DISCONN-ECTED
Use the information from the graphs to write the equation in y=ab*^x
Answer:
1). y = 4(1.75)ˣ
2). y = (2)ˣ
Step-by-step explanation:
1). Let the equation of the given exponential graph is,
y = a(b)ˣ
Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)
For point (0, 4),
4 = a(b)⁰
a = 4
For point (1, 7),
7 = 4(b)¹
b = [tex]\frac{7}{4}[/tex]
b = 1.75
Therefore, equation of the function is,
y = 4(1.75)ˣ
2). Similarly, equation of the second graph will be same in the form of
y = a(b)ˣ
Second graph passes through the points (0, 1) and (2, 4)
For (0, 1),
1 = a(b)⁰
a = 1
For (2, 4),
4 = 1(b)²
b = 2
Therefore, exponential function representing the graph will be,
y = 1(2)ˣ
y = 2ˣ
PLEASE HELP ASAP PLEASE
Answer:
3
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