Answer:
y = 12
Step-by-step explanation:
set up equation for 'y varies inversely with x': y = k/x
where 'k' is the constant of variation
8 = k/6
therefore, k = 48
value of y when x = 4: y = 48/4; therefore, y = 12
Thevalue of y when x is 4 is 12
If y varies inversely as x, this is expressed as;
y = k/xk is the variation constantIf x = 8 and y=6
k = xy
k = 8 * 6
k = 48
To get the value of y when x = 4
y = k/x
y = 48/4
y = 12
Hence the value of y when x is 4 is 12
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Reflect (2, -3) over the x-axis, what is the NEW ordered pair after it is reflected?
Answer:
2, 3
Step-by-step explanation:
How could you use a 1/8-cup measuring cup to measure the light corn syrup?
Answer:
measure it for a few days
a train traveled 90 miles in 1 1/2 hours. How many miles will it travel in 6 hours going at the same rate.
Answer:
360 miles
Step-by-step explanation:
if 90 miles per hour and a half then
1 1/5 x 4= 6
90 x 4 = 360
PLEASE HELP!!!!!!!!!!ASAP
identify the molecule that is carbohydrate
A.plastic
B.natural gas
C.bacon grease
D.table sugar
Step-by-step explanation:
I think its D: table sugar
Answer:
It's D, Table sugar. :)
Step-by-step explanation:
please help meeee you see my dog took my calculator so now i don't know where it is
Which of the following polar equations is a circle with its center at the pole and a radius of 3?
θ = 3
r = 3
r = 9
3 r = θ
Answer:
7.3
Step-by-step explanation:
I think
In the World Cup Downhill held at Panorama Mountain Village in British Columbia, the skiers raced 3514 m down the mountain. If the vertical height of the course was 984 m, determine the average angle of the ski course with the ground.
Answer:
16.3°
Step-by-step explanation:
This question above is a Trigonometry question that is solved using the formula of Sine
sin θ = Opposite/Hypotenuse
Opposite = The vertical height of the course = 984 m
Hypotenuse = The distance the skiers raced down the mountain = 3514 m
θ = The average angle of the ski course with the ground = ?
sin θ = 984 m/3514 m
sin θ = 0.2800227661
θ = arc sin (0.2800227661)
= 16.261563463°
≈ 16.3°
Therefore, the average angle of the ski course with the ground is 16.3°
The points given in the table lie on a line. What is the slope of the line?
Answer:
the answer is A
Step-by-step explanation:
y increases by 2(rise) and x increases by 3(run), so it would be 2/3
what are the angles!
Answer:
Acute, Straight..... thats all i know
Step-by-step explanation:
(a) Type an equation and (b) solve. Type the answers in the spaces provided.
In the basketball championship game, the Falcons had three fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears? (Use b as the variable.)
(a)
(b) Bears:
pls, I need help with this. I've tried to do it on my own, but for me, it's pretty difficult.
In a state with a population of 2,000,000 the average citizen
spends $6,000 on housing each year. What is the total spent on
housing for the state? Express answer in scientific notation.
Answer:
1.2×10¹⁰
Step-by-step explanation:
Given that,
The population of the state = 2,000,000
Average Citizen spends on housing = 6000
We need to find the total spent on housing for the state.
Total spent on housing for state = Population of State × Average Citizen
Total spent = 2,000,000 × 6,000
= 1.2×10¹⁰
Hence, the total spent on housing for the state is 1.2×10¹⁰.
2/3 times what equals to 2/3÷16
Answer:
1/16
Step-by-step explanation:
2/3*x=2/3/16
x=1/16
why?
2/3*1/16 is just 2/3/16
Jim went to the playground. He played on the swings for 45 minutes and went on the slide for 55 minutes. It was 4:35 P.M. when Jim left the playground. What time was it when Jim arrived at the playground?
Answer:
2:55 P.M.
Step-by-step explanation:
First, add the amount of time Jim played outside; 45+55=100
100 minutes is equal to 1 hour 40 minutes.
If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.
Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.
To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.
Hope this helped !!!
7(3x + 5y)
Simplify this expression please!
Answer:
21x + 35y
Step-by-step explanation:
Distribute the 7 to everything in the parentheses.
7*3=21
7*5=35
Geometry can someone help me please
Answer:
20
Step-by-step explanation:
SIMILAR TRIANGLES
28/14 = JN/10
Cross multiplication
280=(14) JN
divide both sides by 14
20= JN
ALSO:
28 is double of 14 then 20 is double of 10
Olivia makes and sells muffins and scones at
a school bake sale. She sells muffins for $0.50
each and scones for $0.80 each. She hopes
to raise at least $20. The inequality 0.50x
+ 0.80y z 20 represents the possible ways
Olivia could reach her goal. Is the ordered pair
(20,32) a solution for the problem situation?
9514 1404 393
Answer:
yes
Step-by-step explanation:
We can substitute the proposed solution values and see if the inequality is true.
0.50x +0.80y ≥ 20
0.50(20) + 0.80(32) ≥ 20
10 + 25.6 ≥ 20
35.6 ≥ 20 . . . . . . true; (20, 32) is a solution
If y=-8 when x=2, find y when x=3
I don't really know if the question is complete but...
y = x -10 can be a solution
so y would be -7 when x is 3
What is the slope of the line shown? On a coordinate plane, a line goes through (0, 7) and (2, 3).
Answer:
slope=-2
Step-by-step explanation:
7-3/0-2=
4/-2=
-2
Tangle JKL similar to triangle PQR.
Solve fort
T
Given the figure below, calculate its area.
Answer:
1+√3
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * AC * BD
We need to get AC
AC = AD+DC
Get base AD using SOH CAH TOA
tan 45 = 4/AD
AD = 4/tan45
AD = 4/1
AD = 4
Get DC
tan 30 = 4/DC
DC = 4/tan 30
DC = 4/(1/√3)
DC = 4√3
AC = 4 + 4√3
AC = 4(1+√3)
Get the Area of the triangle
Area = 1/2 * 4 * 4(1+√3)
Area of the triangle = 1+√3
(6) Find the area of the triangle. If you get stuck, consider drawing a rectangle
around the triangle. *
Answer:
we need the options
Step-by-step explanation:
what are the numbers
What is the equation of the vertical asymptote for the graph below ?
y = 5 + 1 / x + 3
The equation of the vertical asymptote is x = -3
The function is given as:
[tex]y =\frac{5x +1}{x + 3}[/tex]
Assume the equation of the function is:
[tex]y =\frac{m(x)}{n(x)}[/tex]
So, by comparison;
We have:
[tex]n(x)=x + 3[/tex]
Set n(x) to 0
[tex]x + 3 = 0[/tex]
Subtract 3 from both sides
[tex]x = -3[/tex]
Hence, the equation of the vertical asymptote is x = -3
Read more about asymptotes at:
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An architect plans to build an extension for a rectangular bedroom. The bedroom is 5 meters wide, and the original length of the bedroom is 8 meters. The length of the bedroom's extension, in meters, is represented by x. The expression 5(x + 8) represents the area, in square meters, of the bedroom
(Answer the two questions below)
Part A: Create an equivalent expression without parantheses.
Part B: What does each term of your expression represent?
Part A. The equivalent expression for the area of the rectangle without parenthesis is 5x + 40 sq meters and
Part B. The term represents that the area has been increased by 5 times the amount of the extension.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
So, The area of the rectangle before the length extension is,
= (5×8) sq meters.
= 40 sq meters.
Now, The length is extended by 'x' meters.
Therefore, The area of the rectangle after an extension in length is,
= 5(x + 8) sq meters.
= 5x + 40 sq meters.
The expression's phrase indicates that the area has grown by five times as much as the extension.
learn more about rectangles here :
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#SPJ2
What is the slope of the line
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
what is w/5 - 5 > -8?
Answer:
w > -15
Step-by-step explanation:
(w/5-5>-8)5
w-25>-40
w>-40+25
w > -15
Answer:
w=−12
Step-by-step explanation:
If John has 3 boxes of pizza and he has 5 friends how many slices do all his friend gets
Answer:
4
Step-by-step explanation:
A typical pizza consists of 8 pieces. 8x3=24
24/6 (including John) everyone will get 4 pieces :)
Answer:
4 pics of pizza all his friends get and he can also eat
Find the 10th term of the geometric sequence 5, 25, 125, ....
Answer:
The answer would be 9,765,625
Step-by-step explanation:
5 to the power of 10 is 9,765,625
Answer:
Step-by-step explanation:
Geometric sequence 5, 25, 125, ....
First term = a = 5
Common ratio = r = 2nd term ÷ first term
= 25 ÷ 5
= 5
n = 10
nth term = ar⁽ⁿ ⁻ ¹⁾
10th term = 5 * 5⁹
= 5 * 1953125
= 9765625
HURRY ITS IMPORTANT 7
What decimal represents ten and seventy-five hundredths? Show your work.
Answer:
10.75
Step-by-step explanation:
what is the slope of the line shown in the graph?
Answer:
2/1 or just 2
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
