Step-by-step explanation:
If the number is represented by x, then
x+25x2x-3(x-3)21/4× x=x/4A rectangular sticker has an area of 30 sq cm and it perimeter is 26 cm. what are the dimensions of the sticker?
#small Information
I know the equations but the problem I am not understanding it.. can you give a easier equations or method or more explanation of every equation..
Will give brainliest!!
Thank you :)
Answer:
Dimensions are 3cm and 10cm.
Step-by-step explanation:
We can make two equations for this problem.
ab = 30
2a + 2b = 26
Isolate a in the first equation.
a = 30/b
Plug that into the second equation.
2(30/b) + 2b = 26
2b^2 + 60 = 26b
2b^2 - 26b + 60 = 0
2(b - 3)(b - 10) = 0
b - 3 = 0 and b - 10 = 0
b = 3, 10
Plug these values into the first equation.
a3 = 30
a = 10
a10 = 30
a = 3
Best of Luck!
Is 2πr (2r+√(h^2+4r^2 ) ) over πr(r+√(h^2+r^2 )) a simplified algebraic ratio?
Answer : 1+1 = 11
22+22 = 2222
If some one could figure out the x and y are
The problem is
3x+4y=50
-2x=y
Answer:
x = -10
y = 20
Step-by-step explanation:
y = -2x
so
substituting the value in equation ii
3x + 4y = 50
or, 3x + 4(-2x) = 50
or, 3x + (-8x) = 50
or, 3x-8x = 50
or, -5x = 50
so, x = -10
so
y = -2x
or, y = -2*(-10)
so, y = 20
What is the slope between the points (5.-7) and
(–7.1)?
The wood on the back deck of a house needs waterproofing. The shape of the deck
is a rectangle with the length of 40 feet and a width of 3 yards. A gallon can of
waterproof stain covers 50 square feet and costs $19.99 per can plus 8% sales tax.
You go to the hardware store to purchase the waterproof stain needed to complete
the job. You give the cashier $150. How much change do you receive, or how much
additional cash must you find in order to be able to pay for all of the stain you need?
You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.
Dimensions of a rectangular deck = [tex]40[/tex] feet by [tex]3[/tex] yards
Width of the deck is in yards, so convert it into feet.
Since, [tex]\frac{1}{3}[/tex] yards = 1 foot
Therefore, 1 yard = [tex]3[/tex] feet
And [tex]3[/tex] yards = [tex]3\times 3[/tex] feet
= [tex]9[/tex] feet
Therefore, dimensions of the rectangular deck = [tex]40[/tex] feet by [tex]9[/tex] feet
Area of the deck = Length × Width
= [tex]40\times 9[/tex]
= [tex]360[/tex] square feet
∵ [tex]50[/tex] square feet of deck is stained by number of cans = 1
∴ 1 square feet will be stained by number of cans = [tex]\frac{1}{50}[/tex]
∴ [tex]360[/tex] square feet will be stained by cans = [tex]\frac{360}{50}[/tex] = [tex]7.2[/tex]
We can not purchase can in fractions or parts.
Therefore, number of cans to be purchased = [tex]8[/tex]
Cost of waterproof stain per can = $[tex]19.99[/tex] plus [tex]8[/tex]% sales tax
Therefore, actual cost of 1 can to be paid for the waterproof stain
= [tex](19.99 + 19.99\times \frac{8}{100})[/tex]
= [tex]19.99+1.5992[/tex]
= $[tex]21.5892[/tex]
Cost of [tex]8[/tex] cans = [tex]21.5892\times 8[/tex]
= $[tex]172.71[/tex]
I have paid $[tex]150[/tex] to the cashier.
Therefore, additional money to be paid = [tex]172.71-150[/tex]
= $[tex]22.71[/tex]
Learn more,
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What is the percentage change from 99 to 35
Step-by-step explanation:
(35-99):99*100 =
(35:99-1)*100 =
35.353535353535-100 = -64.65
Percentage change from 99 to 35 is -64.64% .
Negative sign indicates that the number is decreased from the initial value.
Percentage change : When a number is increased or decreased from its original value is termed as percentage change.
Given, that number changes from 99 to 35.
Formula of percentage change = [tex]\frac{Final - Initial}{Initial}[/tex] × [tex]100[/tex]
Final number = 35
Initial number = 99
Substitute the values in the above formula,
Percentage change = [tex]\frac{35 - 99}{99} *100[/tex]
Percentage change = -0.6464 *100
Percentage change = -64.64%
Negative sign indicates that the number is decreased from the initial value.
Know more about percentage change,
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giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2
Answer:
[tex]a)x < - \frac{2}{5} [/tex]
[tex]b)4 < - 2[/tex]
Step-by-step explanation:
[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]
[tex] = 4x + x + 4 < 2[/tex]
[tex] = 5x + 4 < 2[/tex]
[tex] = 5x < 2 - 4[/tex]
[tex] = 5x < - 2[/tex]
[tex] = x < - \frac{2}{5} [/tex]
[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]
[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]
[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]
[tex] = 4 < - 2[/tex]
= X ∈ ∅
What is the solution to this system of equations?
( __ , __ )
Answer:
x = 5
y = 3
(5,3)
Step-by-step explanation:
use substitution...
4x -3(2x-7) = 11
-2x + 21 = 11
x = 5
y = 3
An image point has coordinates B'(7,-4). Find the coordinates of its pre-image if the translation used was
(x + 4, y + 5).
B 3.1
B[3.-9)
B|11,-9)
B/11, 1)
Answer:
B
Step-by-step explanation:
To go from B' to B , perform the inverse operation
That is the translation rule is (x - 4, y - 5 ) , then
B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B
What does 2:6 = 14:_______
Answer:
14:42
Step-by-step explanation:
As we got 2 to get to 14, that means that we need to times by 7. Then we times the 6 by 7 to get the answer of 42.
1/2(f+y)=f-5 as a sentence
Step-by-step explanation:
½(f + y) = f - 5
(f + y)/2 = f - 5
y + f = 2f - 10
y = f - 10
or
f = y + 10
#mathisfun
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14-degree decrease
Step-by-step explanation:
because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.
Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius
2. Using what you learned in Question 1, try to write
each of these quadratic expressions as a product of
two linear expressions. That is, try to write each
expression in factored form.
a. x^2 + 5x + 6
b. x^2 + 2x - 15
C. X^2 - 3x + 10
d. x^2 - 9x+8
e. x^2 - 16
f. X^2 - 10x + 6
Answer:
Ans
Step-by-step explanation:
In Q. No. F, 1st page last step there is /2.
OK
Distribute 3x(4x-2) please help
3x(4x - 2) = 3x · 4x - 3x · 2 = 12x² - 6x
Write down the formula of calculating the average of the individual data
simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you
Answer:
[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]
Step-by-step explanation:
Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].
Hey guys I need help in these. Thanks in advance^^
1) In which operations does the order of the numbers make a difference to the
final answer? Find out what this rule is called.
2) If evaluating the sum 2+3+4 does it make a difference which two numbers !
add first? Is the same true for the other operations? What's this rule called?
Answer:
Read explanation
Step-by-step explanation:
The two operations that you will get the same answer for no matter what order you do it is addition and multiplication.
Bonus: Technically, if you had something like 1-2-3 you could rewrite it as 1 + (-2) + (-3) and now it won't matter the order and for something like 1/2/3 you could rewrite as 1 * (1/2) * (1/3) and not it wont matter the order too!
This propetie is called the associative property of addition and multiplication.
In the second question since its addition the order you do it in does not matter.
Why: If you think of it logically adding in a diffrent order than the question does not matter since in the end your still adding the same ammount.
Remember: You can only swap the orders if everything is addition or multiplication and remember your order of operations when using this propety in the years to come.
Hoped this helped, Eddie K.W.
48 ounces of liquid detergent
for $6.19. Find the unit rate
Hi there!
»»————- ★ ————-««
I believe your answer is:
Around 13 cents.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\rightarrow \frac{dollars}{ounces}= \frac{6.19}{48}=\frac{6.19/48}{48/48}=0.128958... \approx \$0.13[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Is 16g + 10 - 4g and 20g + 10 equivalent
Solve the compound inequality 8x > –32 or 6x ≤ –48.
Answer:
x>-4 x≤-8
Step-by-step explanation:
Colin, Michael, and John are among 15 singers
in the community choir. Three members of the
choir will be selected at random to sing the
national anthem at the next city council meeting.
What is the probability that Colin, Michael, and
John will be the 3 singers chosen?
A.
1/910
B.
2/1125
C.
1/455
D.
1/5
Answer:
OPTION D
NO. OF SINGERS=15
NO. OF FRIENDS =3
THERE PROBABILITY =3/15=1/5
. Cathy is playing a game with a set of 52 cards. The cards are different
colors and each show a number.
• The probability of randomly selecting a black card is.
• The probability of randomly selecting a red card is.
If Cathy randomly selects a card, what is the probability that her card is
black OR red?
Answer:
something missing here... is this a regular deck of cards Hearts, spades, clubs , and diamonds ? 1/2 red and 1/2 black ... if so....
then.....
P(black) = .5
P(red) = .5
P(red or black) = 1 (100%)
Step-by-step explanation:
What is the solution to the equation?
5 = 2/5a
A. 2
B. 4 3/5
C. 12 1/2
D. 25
Answer:
3 rd OptionStep-by-step explanation:
[tex]5 = \frac{2}{5} a[/tex]
=> 5 × 5 = 2a
=> 25 = 2a
[tex] = > \frac{25}{2} = a[/tex]
[tex] = > a = 12 \frac{1}{2} (ans)[/tex]
Write an equation in point-slope form of the line that passes through the given point and
has the given slope: (3,4), m=1/3
Answer:
y - 4 = 1/3 (x - 3)
Step-by-step explanation:
5 x (-4)-((-6)-7)
(The X means to multiply)
Answer:
[tex] - 62[/tex]
Step-by-step explanation:
[tex]5 \times ( - 4) - (( - 6) - 7) \\ = - 20 - 42 \\ = - 62[/tex]
Hope it is helpful.....PLEASE HELP I WILL MARK BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!
6. In triangle ABC, the length of side AB is 12 inches and the length of side BC is 20 inches Which of the following could be the length
of side AC?
A. 6 inches
B. 34 inches
C. 18 inches
D 37 inches
Answer:
C
Step-by-step explanation:
In this situation the two lowest sides, 12 and 18, add to higher than the longest side. This is the only answer that does so.
Is 8 1/4 an irrational number?
12. Find the component form of the vector that translates A(-4, 8) to A'(7, -9).
Answer:
a-4,8+_84(4+4(*:84
dirkrk
The component form of the vector that translates will be 11i - 17j.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The translation does not change the shape and size of the geometry. But changes the location.
The point A(-4, 8) is translated to the point A'(7, -9). Then the rule of the transformation is given as,
(7, - 9) = (- 4 + x, 8 + y)
Compare the abscissa, then we have
7 = - 4 + x
x = 7 + 4
x = 11
Compare the ordinate, then we have
y + 8 = - 9
y = - 8 - 9
y = - 17
The component form of the vector that translates will be 11i - 17j.
More about the transformation of a point link is given below.
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Are these two expressions equivalent?
5(3+2) and 5.3 + 5.2
Answer:
No
Step-by-step explanation:
5(3+2) = 5(5) = 25
5.3 + 5.2 = 10.5
25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2
if you can expplain
Answer:
I can explain. The answer is A
Step-by-step explanation:
Think of it this way: when you write a mixed number, the fraction is out of 100. If the denominator is 8, find 1/8 of 100 by doing 100 divided by 1/8. This gives you 12.5. The entire fraction is 2/8, so we need to multiply 12.5 by 2, since it's only 1/8. 12.5 x 2 gives us 25. In the decimal, this would be equal to .25. A is the only answer that represents the mixed number as a decimal correctly.
