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Related Questions
A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
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Saline solution A is 10% strength and saline solution B is 5% strength. I have an order for 6 litres of an 8% saline solution. To fill the order how many litres of solution A should be diluted with solution B? (Hint. Assume a 1% solution contains r grams of salt per litre.)
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y = volume of saline solution B.
We're going to set up two equations.
Firstly, x + y = 6. That gives us y = 6 – x (1)
Second, 0.1x + 0.05y = 0.08•6,
or 0.1x + 0.05y = 0.48 (2)
Substitute (1) into (2):
0.1x + 0.05(6 – x) = 0.48
0.1x + 0.3 – 0.05x = 0.48
0.05x + 0.3 = 0.48
Subtract 0.3 from both sides:
0.05x = 0.18
x = 3.6
Then y = 6 – 3.6 = 2.4
So we have to use 3.6 litres of solution A and 2.4 litres of solution B.
The quotient of 3,200 and 4 will have -blank- zeros.
A. one
B. two
C. three
D. four
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m/6n ÷ 7m/3n PLEASE HELP!
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1/2 ×1/7 = 1/14
The perimeter of a rectangle is 72 meters. The width is 4 meters less than its length. What is the equation to find the length and width?
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2l+2(l-4)=72
4l=80
The length is 20 meters.
Then, plug 20 in the other equation:
w=l-4
The width is 16 meters.
Find the common fraction equivalent to 0.12
The 12 is repeating.
Please show all steps I have answer just can't figure out steps! Thanks!
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______________________________
Given: 0.1212121212..... repeating ; write that value as a fraction;
______________________________________________________
In other words; we are given: "0.1212121212..... repeating infinitely" ;
→ that is to say; "0.12 ... ; {the "12" decimal portion repeats infinitely} ;
_______________________________________________________
→ We write this value, as a fraction, as: "12/99" ;
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→Explanation:
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Note: "0.99999999...... repeating infinitely; = "1" .
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→Since:
Let us say that we have:
"x = 0.999999 ; repeating infinitely;
In order words, let us say we have: "x = 0.9.... ; the "9" decimal repeats infinitely;
_____________________________________________________
Then "10x" ; (that is: "10" multlipled by "x"; or "10*x" or "10x" ); is equal to:
"10" * (0.999999.....) = 9.99999999...... (the "9" decimal repeats infinitely);
in other words: 10x = 9.99999999....
Divide each side by "10" ;
to get "x = 0.9999999....." ; the decimal "9" repeats indefinitely...." ;
But if you have: "10x = 10" ; divide each side of the equation by "10" ;
you get: "x = 1" .
____________________
Also, if "x = 0.9999...(repeating infinitely);
then: 10x = 9.99999.
_______________________________________________
10x = 9.999999999999999......
− x = 0.999999999999999.......
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9x = 9.00000000000000000000.....
→ 9x = 9 ;
Divide each side of the equation; to get;
9x /9 = 9/ 9 ; to get: x = 1 ; and we have: x = 0.9999.... ; so
x= 0.99999.... = 1 ;
__________________________________________________
So, if the numbers "12" is repeating, we divie "12" by "99" ;
that is; we divide "12" by "two 9's" ; since "12" is a "TWO-digit number"; a "two-digit number" is being repeated infinitely.
________________________________________
So; 0.12121212.....(the "12" is the decimal that repeats infinitely);
= 12/99 ; which can be simplified;
Divide each side (both the numerator AND the denominator); by "3" ;
_________________________________________
" 12/99 " = "(12÷3) / (99÷3) = 4/33 " .
_________________________________________
The answer is: [tex] \frac{4}{33} [/tex] .
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wich distance .easure 7 units
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A car leaves a city with a speed of 90 mph. Three hours later and our of the same city another car in pursuit of the first leaves with a speed of 120 mph. Find the time it takes the scond car to reach the first.
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The time it takes the second car to reach the first is 9 hour.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken
We are given that car leaves a city with a speed of 90 mph. Three hours later and our of the same city another car in pursuit of the first leaves with a speed of 120 mph.
Consider t be the time since the first car leaves
Distance of first car = 90t
Distance of second car:
120(t - 3)
Therefore, 90t = 120(t - 3)
90t = 120t - 360
360 = 30t
t = 12
The second car takes 12-3 = 9 hours to reach it
Learn more about speed here;
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A container has a capacity of 3 liters. It contains 1 3/4 liters of water. How much more water is needed to fill the container? Plz explain and show how!! Thank you in advance!! :)
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What is 279 divided by 24 with a reminder
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24| 279
-24
----
39
-24
------
15
279 divided by 24 is equal to quotient of 11 and the remainder is 15.
When dividing 279 by 24.
The dividend is dividend.
Divisor is 24.
When 279 is divided by 24, the quotient is 11 with a remainder of 15.
So, 279 divided by 24 is equal to 11 with a remainder of 15.
To learn more on Division click:
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A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.
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What the equation means: Since we already know they spent $548 in basketball equipment, we can subtract that from the total cost to find out how much they spent for the uniforms. After that, we have to divide the money used to buy the uniforms by the cost of each uniforms. Your final answer would be 50 uniforms.
I hope this helped you!
* / means the division sign.
Tarra wants to buy grapes. If one pound of grapes costs $1.98, how much does Tarra pay for of a pound of grapes? $0.99 $1.98 $2.48 $3.96
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Please bros, I need this.
The following table shows the values of y for different values of x:
x
y
0, 0
1, 1
2, 4
Which statement best explains whether the table represents a linear function or a non-linear function?
It represents a linear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
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2bx-be=-8 what is the answer for this question
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Explain how you could use the distributive property and mental math to find 5 x 198
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let f(x)=2/3x-6 what is the inverse function?
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[tex]x= \frac{2}{3} y-6[/tex]
Solve the equation for y
[tex]x + 6 = \frac{2}{3} y[/tex]
Multiply each term by the reciprocal of [tex] \frac{2}{3} [/tex]
[tex] \frac{3}{2} (x+6) = y[/tex]
Distribute
[tex] \frac{3}{2} x+9=y[/tex]
Change y to [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)= \frac{3}{2} x+9[/tex]
What's the slope (0,4) and (-8,-1)
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slope = y2-y1 over x2-x1
-1 - 4= -5
-8-0 - -8
so you get -5/-8
negative divided by negative = positive
slope = 5/8
solve fo X
5x
---- - 1 = 9
2
x = ?
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Left with 5x=20, divide 5
X=4
which expression is equivalent to 3c(1/3d-9)-7(c+1)+d(c+4)?
A.2cd-34c+4d-7
B.2cd-7c-4
C.2cd+34c+4d+7
D.2cd+8c+4
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Answer: 2cd - 34c + 4d - 7
During a canned food drive, Bob collected 6 times as many cans as Tom. If t represents the number of cans that Tom collected, which algebraic expression represents the number of cans that Bob collected?
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The algebraic expression that represents the number of cans that Bob collected, given that t represents the number of cans that Tom collected, is 6t.
Explanation:The algebraic expression that represents the number of cans that Bob collected, given that t represents the number of cans that Tom collected, is 6t. Since Bob collected 6 times as many cans as Tom, we can multiply the number of cans Tom collected by 6 to get the number of cans Bob collected.
If Bob collected 6 times as many cans as Tom, and if we represent the number of cans Tom collected with the variable t, then the algebraic expression that represents the number of cans that Bob collected is 6t. This is because if Tom collected t cans, then Bob, having collected 6 times more, would have collected 6 multiplied by t, which is simply represented as 6t.
The algebraic expression that represents the number of cans that Bob collected is 6t.
Explanation:The algebraic expression that represents the number of cans that Bob collected is 6t. Since Bob collected 6 times as many cans as Tom, we can represent the number of cans that Bob collected by multiplying Tom's number of cans by 6. Hence, if t represents the number of cans that Tom collected, the expression 6t represents the number of cans that Bob collected.
You own and operate a small pizza shop. the shop has been profitable but it needs renovation. you start the renovation only to discover that a pizza chain has bought a vacant building two blocks away and plans to open a shop within 120 days. undoubtedly, competition will intensify. you decide to accelerate renovation work. you are trying to
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If the national economy shrank at an annual rate of 6% per year for four consecutive years, then the economy shrank by 24% over the four-year period
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Divide.
42/-8
Enter your answer as a mixed number, in simplified form, in the box.
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solve the following equation 5/3 + = -9
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I apologize, but I think you have typed the equation wrong. The plus sign is by itself. If you could fix it, maybe I could help.
Regards,
~KayEmQue
Good Luck! :D
What's the value of 6 in this number - 4,632
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hope this helps
The value is 6 hundred or 600.
Hope This Helps You!
Good Luck :)
- Hannah ❤
It took Lou 2 1/2 gallons of paint to paint one fence. How many gallons of paint will it take Lou to paint 6 fences that are the same size? Express your answer in simplest form.
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15 Gallons. 2 1/2 * 6 = 15. 2, 6 times is 12. 1/2, 6 times is 3.
12 + 3 = 15.
Answer: 15 Gallons.
One wintry week a ski town got 15 1/2 inches of snow. On Monday the town got 2 3/4 inches on Tuesday it got 1 1/2 times as much and on Wednesday it got 7/8 inch. How much snow did the town get for the rest of the week
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On Tuesday it got 1 1/2 (1.5) times as much: 2.75 x 1.5 = 1.375 (inch)
⇒ On Tuesday the town got 1.375 inch of snow.
On Wednesday it got 7/8 (0.875) inch of snow.
After Monday, Tuesday and Wednesday, the town got:
2.75 + 1.375 + 0.875 = 5 (inches of snow)
For the rest of the week, the town got:
15 1/2 - 5 = 10 1/2 = 10.5 (inches of snow)
What is the slope intercept form if the linear equation 2x+3y=6
Drag and drop the appropriate number, symbol, or variable to each box
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3y = -2x + 6
y= -2/3x + 2
slope intercept form y= -2/3x + 2
answer
y= -2/3x + 2
For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.
y = -4x + 3
(-1, 1)
(0, -3)
(1, -1)
(2, 10
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Answer:
c
Step-by-step explanation:
A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6% , what is the amount of income tax in dollars and cents that the doctor has to pay ?
( this is a griddable question by the way )
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Answer:
The amount of income tax is $9127.50 or 912750 cents.
Step-by-step explanation:
Amount of annual income = [tex]\$152,125[/tex]
Rate of income tax = [tex]6\%[/tex]
So, the amount of income tax in dollars
[tex]= 6\%[/tex] of [tex]\$152,125[/tex]
[tex]=(\frac{6}{100}\times \$152125 )= \$9,127.50[/tex]
and in cents [tex]=(9127.50\times 100) cents = 912750cents[/tex]