Answer:
7 and 1 / 2
Step-by-step explanation:
xy = 9
( 1 / x ) = 4 ( 1 / y )
y = 4x
x ( 4x ) = 9
4x^2 = 9
x = 3 / 2
( 3 / 2 ) y = 9
y = 6
6 + ( 3 / 2 ) = 7 and 1 / 2
The two numbers are 3/2 and 6.
What are reciprocal numbers?The reciprocal of a number is this fraction flipped upside down.
Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.
Let the numbers be a and b.
ab = 9.......(i)
1/a = 4/b
a = 4b..........(ii)
Using (i) in (ii)
4b×b = 9
b² = 9/4
b = 3/2
a×3/2 = 9
a = 6
Hence, The two numbers are 3/2 and 6.
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A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.
The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
y = dependent variablex = independent variablek = constant of proportionality.In essence; to determine the constant of proportionality, k in this case;
k = y/xSince the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
k = 18.50.A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
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Simplify this expression 3(2h + 5)
Write an equation for each line in slope-intercept form.
Answer:
Line 1 : y = -2x - 5
Line 2 : y = -3x + 3
Step-by-step explanation:
note the slope, and then note the y intercept
Answer:
y = - 2x - 5 and y = - 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - 2x - 5 ← equation of line 1
Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2
m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 3x + 3 ← equation of Line 2
Write each equation in STANDARD FORM. y=-2/3x+3
[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]
Round 2,861 to the nearest hundred
Hey there!
2,891
= 200,000 + 800 + 90 + 01
= two-hundred thousand, eight hundred ninety one
Thousand:
2,000
Hundred:
900
Tens:
90
Ones:
1
Based on that information we can answer your question
SIMPLIFY IT
ANSWER: 2,900
[2,000 + 900 + 0 + 0]
[two thousand + nine hundred]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
−5 + 6 × 5/2 + 56 ÷ ( −8 )
Answer:
3
Step-by-step explanation:
Can someone please help me
Answer:
D. Step 3 and Step 4
Step-by-step explanation:
I tried to put in some numbers for x and I'm pretty sure that you can subtract stuff from both sides but you can't divide. I'm 70% sure, so tell me if something's wrong :)
gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.
Step-by-step explanation:
According to the given we have following inequalities:
x + y ≤ 220y ≥ 4xSee the graph attached below.
Solution region is within the triangle with marked vertices.
thank you guys for helping me :) :)
Answer:
The second one is right
Step-by-step explanation:
Hope it helpssss
Find a number such that 20 less than twice the number is 50.
The required simplified solution of the given expression is 35.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Let the number x,
A number such that 20 is less than twice the number is 50.
2x - 20 = 50
2x = 70
x = 35
Thus, the required simplified solution of the given expression is 35.
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A rectangular pipe flowing full has the following cross-sectional dimensions Width: 6 m Height: 9 m Find the pipe's hydraulic radius in meters
hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D
Step-by-step explanation:
When you get negative it is ok.
It means you have a discount here, not really increase but decrease in price.
Here you have:
(1680 - 4200)/4200*100% = - 60%It is called 60% mark down or 60% discount
PLEASE HELP ME WITH THIS QUESTION!!
A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?
Answer:
7
Step-by-step explanation:
On a military clock the difference between a number and it's opposite is always 12
19 - x = 12
19 - 12 = x
7 = x
The number directly across from 19 on a military clock is 17.
How to determine the number directly across from 19 on a militaryTo find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.
12 - 19 = -7
Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.
-7 + 24 = 17
Therefore, the number directly across from 19 on a military clock is 17.
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question number fifteen
Answer:
d. EDC
Step-by-step explanation:
if you mirror the triangle ABC, it fits perfectly with triangle EDC
6=2(y+2) solve for what is y?
Answer:
y is 1
Step-by-step explanation:
Answer:
y = 1
Step-by-step explanation:
First divide both sides by 2
this gives you 3 = y+2
then subtract 2 from each side giving you y = 1
Multiply.
[−8⋅4/11]⋅[(−0.1)⋅22]
Answer:
6.4
Step-by-step explanation:
Hope this helps :D
Which sequence shows the numbers in order from least to
greatest?
OA) -2.45 x 102, 193, 6.987
OB) 6.987, -2.45 x 102, 793
OC) V93, 6.987, -2.45 x 102
OD) -2.45 x 102, 6.987, 793
Answer:
D
Step-by-step explanation:
Just did it
Issac ate 2/4 of a pizza. Madison ate 1/5 how much did issac eat more than Madison?
Answer:
6/20. (simplified is 3/10)
Step-by-step explanation:
Find an equation for this line?
Answer:
y = -20/5 or -4/1 + 20 for the equation
I will give 20 points
Answer:
This is like quadratic equation you just say y=1x+-2 and then you get the answer
Solve.
x−(−256)=−15
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
x =
Step-by-step explanation:
[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]
do the write a relation as a set of five ordered pairs then express the relation using a:
table
mapping diagram
graph
Answer:
Step-by-step explanation:
Table
x I y-------1 I 22 I 43 I 64 I 85 I 10Find the y-intercept and the vertex of y+-x^2+6x-8 using standard form
Answer:
-x^2+y+6x-8
hope this helps
need help with pre-cal please
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)Jill is buying a cookie kit to decorate cookies for her children during the holiday break. She will pay $2.50 per cookie and a $4 service fee. Which equation can be used to find y, the total cost to buy x cookies?
Answer:
4 + 2.5x=cost
Step-by-step explanation:
what is the answer??????
Answer:
15 percent
Step-by-step explanation:
By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567
Answer:
option a as last digit even a d come in 3 table
pls help asap MIDSEGMENTS
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters
The angle subtended by the women voters are 100° more than the angle subtended by the men voters.
The total number of voters are 10080 votersReasons:
The angle subtended by the men on the pie chart = 130°
The number of women = 2800 + The number of men
Therefore;
Angle subtended by the women voters on the pie chart = 360° - 130° = 230°
The difference between the angle representing women and the angle
representing men = 230° - 130° = 100°
Therefore;
100° = 2800
Which by common ratios gives;
[tex]\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }[/tex]
100 × Total number of voters = 2800 × 360
[tex]The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080[/tex]
The total number of voters = 10080
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Answer:
The angle subtended by the women voters are 100° more than the angle subtended by the men voters.
The total number of voters are 10080 voters
Reasons:
The angle subtended by the men on the pie chart = 130°
The number of women = 2800 + The number of men
Therefore;
Angle subtended by the women voters on the pie chart = 360° - 130° = 230°
The difference between the angle representing women and the angle
representing men = 230° - 130° = 100°
Therefore;
100° = 2800
Which by common ratios gives;
100 × Total number of voters = 2800 × 360
The total number of voters = 10080
4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.
Answer: 7, 56
Step-by-step explanation:
The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.