Answer:
y = [tex]\frac{1}{x}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 3 when x = [tex]\frac{1}{3}[/tex] , then
3 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )
3 × [tex]\frac{1}{3}[/tex] = k
1 = k
y = [tex]\frac{1}{x}[/tex] ← equation of variation
f(x) = 5x + 12. Find f−1(x)
Answer:
(x-12)/5
Step-by-step explanation:
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
square base and variable height h. The surface area of this box is a
function of its height. Write a function to represent the surface area.
Evaluate the function for h=6.5 in.
Answer:
Step-by-step explanation:
Formula for calculating the surface area of the box S = 2(LW+LH+WH) where
L is the length of the box
W is the width of the box
H is the height of the box
If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;
S = 2(4(4)+4H + 4H)
S = 2(16+8H)
S = 32+16H
Hence, The function that represents the surface area of this box as a
function of its height is S = 32+16H where H is the height of the box
Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;
S = 32+16H
S = 32+16(6.5)
S = 32+106
S = 138in²
Hence the total surface area of the box is 138in²
Help ASAP, Brainliest to whoever answers!
Answer:
these are the ten numbers :
0 8 2 6 9 2 0 8 0 0
Fatima has 2 gallons of milk she wants to pour all milk into glasses which each hold 1 cup (1/16 gallon). how many cups can she fill
Answer:
32 cups
Step-by-step explanation:
1 cup= 1/16 gallon
? cup= 2 gallon ( crisscross)
⇒[tex]\frac{2*1}{\frac{1}{16} }\\ \frac{2}{\frac{1}{16}} \\2*16=32 cups[/tex]
K - 8 = -7 What is K?
Answer:
1
Step-by-step explanation:
To find the answer of a negative and a positive, you subtract and then keep the symbol of the bigger number. So in the equation 1-8 you subtract 1 from 8, then keep the symbol of the 8 (which is a negative) since it is the bigger number. 1 minus 8 is 7, and the symbol is negative, so the answer is -7. This makes K=1.
5 pizzes are shared equally between 10 people. What fraction of a pizza does each person receive?
Answer:
1/2
Step-by-step explanation:
[tex]6\sqrt{7-11}\sqrt{7+2}\sqrt{7}[/tex]
Answer:
[tex]=36\sqrt{7}i[/tex]
Step-by-step explanation:
sqrt of 7-11=2i
simplify to [tex]6\cdot \:2\sqrt{9}\sqrt{7}i[/tex]
then sqrt of 9=3
then we simplify again to [tex]=36\sqrt{7}i[/tex]
hope this helps and if you don't mind please consider giving me brainliest
I need help again help me pllsssssss
Answer: you end up at (2,2)
Step-by-step explanation:
Answer:
2,2
Step-by-step explanation:
go down to the bottom right corner (5,-5)
move over left 3 boxes
and then up 7 boxes
hope this helps :P
Find the product of 10n5 and 6n2
[tex]10 \times 10 \times 10 \times 10 \times 10 = 2000[/tex]
[tex]6 \times 6 = 36[/tex]
= 2036n
if bob simsim went to the cinema and brought 200g of popcorn and he ate 100g of popcorn how many grams of popcorn does he have left?
Answer:
He has 100 g left.
Step-by-step explanation:
We start with 200 g, then bob eats 100 g, 200-100=100 grams!
Solve for x:
9x - 3 - 8x = 7 - x
x= -7
B. x=-2
c. x = 4
D. x = 5
Answer:
x = 5
Step-by-step explanation:
[tex]9x - 3 - 8x = 7 - x\\x - 3 = 7 - x\\[/tex]
Move x's to one side, and numbers to the other.
Make it the opposite sign when you move it over. Since I'm subtracting 3, I'm going to add it to the other side, and add x. And then divide by 2 to solve for x
[tex]x + x = 7 + 3\\\\\frac{2x}{2} = \frac{10}{2}\\\\x = 5\\\[/tex]
Estimate the product of 41.03 x 0.513.
Answer
Roughly, it would be 20.5
The exact answer is 21.05
Step-by-step explanation:
To roughly get the estimate you round it to the nearest 1st decimal place in this case. So it'd be 41.0 x 0.5
What is -5 5/8+ 3 1/2
Is x^4+3x^3-x+7 in standard form
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The standard form of a polynomial has the exponents decreasing left to right. Here, the exponents are 4, 3, 1, 0, so are decreasing left to right. The expression is in standard form.
Victoria and her friends are going on a road trip that is 632.64 miles long. If they have 32.3 miles until their destination, how far have they already traveled? Answer in decimal form.
Round 24.772 to each value listed below
Nearest tens:
Nearest tenths:
Nearest whole:
Nearest hundredths
Answer:
Nearest tens: 20
Nearest tenths: 24.8
Nearest whole: 25
Nearest hundredths: 24.77
Answer:
Nearest tens: 20 ⇔ the ones digit is 4, no rounding up
Nearest tenths: 24.8 ⇔ the hundredths is 7, need to round up
Nearest whole: 25 ⇔ the tenths digits is 7, need to round up
Nearest hundredths: 24.77 ⇔ the thousandths digit is 2, no rounding up
Hope this helps!! :)
Please let me know if you have any question
3+g=a/3h
what does a equal
Answer:
a = 3gh+9hStep-by-step explanation:
[tex]3+g = \frac{a}{3h} \\\\Cross\:Multiply\\\\3h(3+g) = a\\9h +3gh = a\\\\a = 3gh+9h[/tex]
Sherry brings two containers of cookies to a party. Each container contains 6 cookies. Sally shows up with a dozen cookies. Sandy arrives with 2 cookies and 10 donuts. How many cookies will Harry need to bring if the total cookie count is 4 dozen
Answer:
22 cookies
Step-by-step explanation:
A dozen items means 12 number of items.
Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container
= 2 [tex]\times[/tex] 6 = 12
Number of cookies brought by Sally = A dozen cookies = 12
Number of cookies brought by Sandy = 2
Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26
Total number of cookies to be brought = 4 dozen = 48 cookies
Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together
48 - 26 = 22 cookies
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by 4π? A) Irrational Numbers B) Integers C) Natural Numbers D) Rational Numbers
Answer:
Irrational Number
Step-by-step explanation:
The Venn diagram is not attached; However, the question can still be answered
Given
[tex]Number = 4\pi[/tex]
Required
What category of number is the given number
[tex]Number = 4\pi[/tex]
Substitute [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]
[tex]Number = 4 * \frac{22}{7}[/tex]
[tex]Number = \frac{4 *22}{7}[/tex]
[tex]Number = \frac{88}{7}[/tex]
[tex]Number = 12.5714285714......[/tex]
Notice that there's .... at the end of the number;
This implies that, the decimal number still extends
Numbers like 12.5714285714...... are categorized as irrational numbers because it can't be changed back to a fraction
Answer:
A. irrational number
Step-by-step explanation:
I took the test
HELP PLZ ITS FOR SCHOOL
Answer:
a)5:2
b)14
c)17
Step-by-step explanation:
The ratio for babies to nursery workers is 5:2
To find the answer to b, we find how much you have to multiply 2 by to get 35, which is 7 and multiply that by the number of workers, 2, so you need 14 workers
To find the answer to c multiply 2 bye 3.5 to get 7 and multiply 5 by 3.5 to get 17.5 now rounf down so the answer to c is 17
Answer:
a)5:2 b)14 c)17
Step-by-step explanation:
4x + 6 - 11 help needed
Answer:
4x-5Step-by-step explanation:
[tex]4x+6-11\\\\\mathrm{Add/Subtract\:the\:numbers:}\:6-11=-5\\=4x-5[/tex]
Brett and Max are diving. Brett is 34 feet below the surface and Max is 25 feet below the surface. How many feet above Brett isMax?
Answer:
Max is 9 ft above Brett
Step-by-step explanation:
Brett is 34 feet below the surface = -34
Max is 25 feet below the surface = -25
Subtract the heights
-25 - -34
-25 +34
9
Max is 9 ft above Brett
I need help with this is my last one
Answer:
1. Quadrant 2
2. Quadrant 1
3. Quadrant 2
4. Quadrant 4
5. Quadrant 4
6. Quadrant 2
7. Quadrant 2
8. Quadrant 3
Step-by-step explanation:
For this problem, we just need to follow the pattern of positive and negatives associated with each quadrant.
The first quadrant (+, +)
The second quadrant (-, +)
The third quadrant (-, -)
The fourth quadrant (+, -)
Using these patterns we can state what order pair correlates to which quadrant.
(-2.5, 2.1) --> Q2
(1/2, 3/4) --> Q1
(-10, 13) --> Q2
(2.5, -5.5) --> Q4
(9, -10) --> Q4
(-12, 3.4) --> Q2
(-5/8, 5) --> Q2
(-6.4, -6.3) --> Q3
Cheers.
Solve for y.
6 = -2/9v
Answer:
: 1: Exact form : v = - 1/27
: 2 : Decimal form : v = -0.037037037037037037037037...
Step-by-step explanation: Multiply the equation to remove your variable (v) from the denominator.
I hope this helps you out.
how to do this question plz answer me step by step plzz
Answer:
Adult's ticket is 7, child's ticket is 2
Step-by-step explanation:
Let adult's ticket be "x" and child's ticket be "y"
So, for family 1, the equation would be: 2x+3y=20
And, for family 2, the equation would be: 1x+4y=15
Use the substitution method in the second equation to know what x in terms of y is:
x + 4y = 15 (substact 4y from both sides)
x= 15 - 4y
Plugin y into the first equation:
2(15-4y)+3y=20 (distribute)
30-8y+3y=20 (simplify)
30-5y = 20 (get y by itself)
-5y = -10 (divide by -5)
y = 2
Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):
1x+4(2) = 15 (simplify)
x + 8 = 15 (subtract 8)
x = 7
Answer:
price of adult ticket=7 £
price of childrens' ticket =2 £
Step-by-step explanation:
let x be price for adult and y price for for children
family 1 : 2x+3y=20
family 2: x+4y=15
solve by eliminating : multiply equation 2 by (2) to eliminate x
2x+3y=20
2x+8y=30
subtract the two equations:
2x+3y-2x-8y=20-30
-5y=-10
y=-10/-5
y=2( the price for children)
x+4y=15
x+4(2)=15
x=15-8
x=7 ( the price for adults)
check : 2x+3y=20
2(7)+3(2)=14+6=20
A certain shade of lavender is created by adding 5 cups of purple paint to 8 cups of white paint. a. How many cups of purple paint should be added to 1 cup of white paint? Cups of white paint Cups of purple paint 1 8 b. What is the constant of proportionality?
Answer:
a. [tex]\frac{5}8[/tex] cups of purple paints required.
b. [tex]\frac{5}8[/tex]
Step-by-step explanation:
Given that
Number of purple paints required with 8 cups of white paint = 5
To find:
a. Number of cups of purple paint needed to be added to 1 cup of white paint ?
b. Constant of proportionality.
Solution:
Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.
Let us use the given statement:
8 cups of white paint require = 5 cups of purple paint
Let us divide both sides by 8:
1 cup of white paint require = [tex]\frac{5}8[/tex] cups of purple paint
Answer b.
Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.
Here, the ratio between number of cups of purple paint and number of cups of white paint is:
5:8 or [tex]\frac{5}8[/tex].
so, the answer is: [tex]\frac{5}8[/tex]
Kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is working on. Kojo has been writing his story for ddd days. He has a total of 81 pages completed.
Answer:
81= 3 times x
its right on khan.
Step-by-step explanation:
Round off to three significant digits: 4.53619
Answer:
4.54
Step-by-step explanation:
The 4th digit (6) is greater than 4, so the 3rd digit (3) is increased by 1 before you drop the remaining digits:
4.54
Order the following expressions by their values from least to greatest.
Answer:
-2, b, a+c
Step-by-step explanation:
Answer:
All you have to do is switch A + C and B around. (basically if you wrote it out, it would look like this: -2, B, A + C.)
5+11n=13n help with this one too..
Answer:
n = 2.5
Step-by-step explanation:
We need to isolate n by first moving it to one side.
11n = 13n - 5
11n - 13n = -5
-2n = -5
n = -5/-2
n = 2.5
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Answer:
n = 5/2
Step-by-step explanation:
5 + 11n = 13n
5 = 13n - 11n
5 = 2n
n = 5/2
Check:
5 + 11*5/2 = 13*5/2
10/2 + 55/2 = 65/2